Website: www.me.ucsb.edu (will open in a new browser window)

Chair: Robert M. McMeeking
Vice Chair: Stephen R. McLean

Faculty

Karl J. Astrom, Ph.D., Royal Institute of Technology, Sweden, Distinguished Professor (control engineering and education)

Bassam Bamieh, Ph.D., Rice University, Associate Professor (control systems design with applications to fluid flow problems)

* Sanjoy Banerjee, Ph.D., University of Waterloo, Professor (transport processes, multiphase systems, process safety)

Glenn E. Beltz, Ph.D., Harvard, Associate Professor (nanostructures and brittle-ductile transitions, solid mechanics)

Ted D. Bennett, Ph.D., UC Berkeley, Assistant Professor (thermal science, laser processing)

David Bothman, B.S., UC San Diego, Lecturer

John C. Bruch, Jr., Ph.D., Stanford University, Professor (applied mathematics, numerical solutions and analysis)

Marie Dillon Dahleh, Ph.D., Princeton University, Academic Coordinator (engineering education, numerical analysis)

Nicholas DiNapoli, M.A., Stanford University, Academic Coordinator (product design)

§ Anthony G. Evans, Ph.D., Imperial College, London, Professor (thermostructural materials, ultralight structures, multifunctional materials and devices, actuating structures)

George Homsy, Ph.D., University of Illinois, Professor (hydrodynamic stability, thermal convection, thin film hydrodynamics, flow in microgeometries and in porous media, polymer fluid mechanics)

Keith T. Kedward, Ph.D., University of Wales, Professor (design of composite systems)

Mustafa Khammash, Ph.D., Rice University, Professor (robust analysis and synthesis of control systems, control of power systems, flight control systems, and controls in biological systems)

§ Carlos Levi, Ph.D., University of Illinois at Urbana-Champaign, Professor (materials processing, advanced solidification technologies, fine structures, process modelling, and microstructural analysis)

Wilbert J. Lick, Ph.D., Rensselaer Polytechnic Institute, Professor (oceanography and limnology, applied mathematics)

* Glenn E. Lucas, Ph.D., Massachusetts Institute of Technology, Professor (mechanical properties of structural materials, environmental effects, structural reliability)

§ Noel C. MacDonald, Ph.D., UC Berkeley, Kavli Professor in MEMS Technology (microelectromechanical systems, applied physics, materials, mechanics, nanofabrication)

Eric F. Matthys, Ph.D., California Institute of Technology, Professor (heat transfer, fluid mechanics, rheology)

Stephen R. McLean, Ph.D., University of Washington, Professor (fluid mechanics, physical oceanography, sediment transport)

§ Robert M. McMeeking, Ph.D., Brown University, Professor (mechanics of materials, fracture mechanics, plasticity, computational mechanics)

Eckart Meiburg, Ph.D., University of Karlsruhe, Professor (computational fluid dynamics, fluid mechanics)

Carl D. Meinhart, Ph.D., University of Illinois at Urbana-Champaign, Associate Professor (wall turbulence, microfluidics, flows in complex geometries)

Igor Mezic, Ph.D., California Institute of Technology, Associate Professor (applied mechanics, non-linear dynamics, fluid mechanics, applied mathematics)

§ Frederick Milstein, Ph.D., UC Los Angeles, Professor (materials science and metallurgy)

§ G. Robert Odette, Ph.D., Massachusetts Institute of Technology, Professor (structural reliability)

Bradley E. Paden, Ph.D., UC Berkeley, Associate Professor (control theory, kinematics, robotics)

** Linda R. Petzold, Ph.D., University of Illinois at Urbana­Champaign, Professor (numerical differential equations, numerical optimization, mathematical software, parallel computing, scientific computing)

* Theofanis G. Theofanous, Ph.D., University of Minnesota, Professor, Director of Center for Risk Studies and Safety (nuclear and chemical plant safety, multiphase flow, thermal hydraulics)

Kimberly L. Turner, Ph.D., Cornell University, Assistant Professor (microelectromechanical systems, namely sensors, actuators; dynamics, solid mechanics, measurement and characterization of microsystems motion and device parameters)

Henry T. Yang, Ph.D., Cornell University, Professor (aerospace structures, structural dynamics and stability, transonic flutter and aeroelasticity, intelligent manufacturing systems)

Walter W. Yuen, Ph.D., UC Berkeley, Professor (thermal science, radiation heat transfer, heat transfer with phase change, combustion)

Emeriti Faculty

Roy S. Hickman, Ph.D., UC Berkeley, Professor Emeritus (fluid mechanics, physical gas dynamics, computer-aided design)

Frederick A. Leckie, Ph.D., Stanford University, Professor Emeritus (mechanics of materials, engineering design)

Ekkehard P. Marschall, Dr. Ing., Technische Hochschule Hannover, Professor Emeritus (thermodynamics, heat and mass transfer, desalination, energy conversion, experimental techniques)

Thomas P. Mitchell, Ph.D., California Institute of Technology, Professor Emeritus (theoretical and applied mechanics)

Marshall Tulin, M.S., Massachusetts Institute of Technology, Professor Emeritus, Ocean Engineering Laboratory Director (hydrodynamics, aerodynamics, turbulence, cavitation phenomena, drag reduction in turbulent flows)

James P. Vanyo, Ph.D., UC Los Angeles, Professor Emeritus (rotating nonrigid bodies, fluid dynamics)

* Joint appointment with the Department of Chemical Engineering.
** Joint appointment with the Department of Computer Science.
§ Joint appointment with the Department of Materials.

Affiliated Faculty

Patricia Holden (Bren School of Environmental Science and Management)

Arturo Keller (Bren School of Environmental Science and Management)

Natalie Mahowald (Bren School of Environmental Science and Management)
On leave 2002-03

Mission Statement

We offer an education that prepares our students to become leaders of the engineering profession and one which empowers them to engage in a lifetime of learning and achievement.

Educational Objectives for the Undergraduate Program

It is the objective of the Mechanical Engineering Program to produce graduates who:

• Successfully practice in both the traditional and the emerging technologies comprising mechanical engineering;

• Are successful in a range of engineering graduate programs including those in mechanical, environmental and materials engineering;

• Have a solid background in the fundamentals of engineering allowing them to pass the Fundamentals of Engineering examination;

• Are active in professional societies.

Qualified students who wish to pursue advanced engineering education may enroll in the M.S. or Ph.D. programs. The department offers programs leading to the degrees of master of science and doctor of philosophy, with a specialization in any of the following major areas: dynamical systems and controls; environmental and ocean engineering; solid mechanics and structures, thermo-fluid sciences and materials. The curricula for all of the major areas emphasize education in broad principles and fundamentals. At the same time, programs of study and research are flexible and tailored to accommodate the individual needs and interests of the students. Interdisciplinary approaches are stressed, and students are encouraged to cross over traditional boundaries into other departments.

The M.S. program is intended to extend and broaden the undergraduate background and/or equip practicing engineers with state-of-the-art knowledge in their field. The degree may be terminal or obtained on the way to the Ph.D. The Ph.D. program is designed to prepare students for careers in research and/or teaching in their area of specialization.

Mechanical engineering graduates at all levels are highly sought after by the automotive, aircraft, marine, defense, electronics, and materials manufacturing industries. A major in mechanical engineering may also serve as an appropriate part of the program of studies required for a California community college teaching credential. Students who wish to secure this credential should consult the designated advisor in the Graduate School of Education.

College wide undergraduate counseling is provided under the direction of the assistant to the dean for undergraduate studies. In addition, departmental advisors are assigned to all students in the freshman year. In the junior year an upper-division advisor assists the students in the selection of departmental elective courses and provides counseling to students on a variety of issues related to their academic experience. Individual faculty are also available for help in program planning and professional development. A faculty supervisor and the graduate advisor, in conjunction with a graduate studies committee, directs the program of studies for M.S. and Ph.D. candidates. Undergraduate students enrolled in other majors at UCSB who plan to change to a major in the Department of Mechanical and Environmental Engineering should obtain counseling from the assistant to the dean for undergraduate studies.

Laboratory Facilities

Well-equipped teaching and research laboratories can be used to conduct experimental and computational research in many areas.

Teaching Laboratories

The laboratories listed below are a combination of facilities available permanently and those that are set up as necessary for the work of specific classes.

1. Dynamical Systems Laboratory. This laboratory supports the theoretical studies undertaken in the engineering mechanics courses ME 16 and 163. It provides practical experience in experimental techniques and electronic instrumentation associated with stress wave propagation, dynamic balancing, torsional oscillations, structural dynamic response, inertial navigation, and modal analysis of structures.

2. Control Systems Design Laboratory. This laboratory gives students experience analyzing, designing, and testing control systems. The major experiments performed are temperature control, speed and position control with DC motors, a digitally-controlled gripping device. Controls are built by the students using analog breadboards and microprocessors.

3. Thermosciences Laboratory. This laboratory is set up for undergraduate study of thermodynamics and heat transfer. Thermodynamics experiments include: a gas turbine, an engine dynamometer, two heat pumps and a facility for studying the thermodynamics of gasses. Heat transfer experiments include: an internal convection test stand, heat transfer of a heated cylinder, measurements of the conduction and convection by spheres of different materials, and a heat exchanger test stand.

4. Fluid Mechanics Laboratory. The major experiments in this laboratory include: a pipe flow experiment to demonstrate the practical aspects of friction factors in pipe flow and flow measurement techniques; a wind tunnel used to study lift, drag, and boundary layer phenomena; a compressible flow test stand; a water hammer test stand; and a variable pitch/speed pump to study turbomachinery. Apparatus is available for measuring important physical properties of fluids.

5. Materials Laboratory. This laboratory is designed to give students practical insight into the relationships among material properties, structures, processing, and environmental interactions. Experiments performed include: modeling atomic structures and their imperfections; phase equilibria and phase transformation kinetics; mechanical behavior; thermal processing of metals; sintering of ceramics; and corrosion of metals and degradation of plastics.

6. Computer Aided Design Laboratory. The laboratory makes modern computers and engineering software available to students. The lab contains 20 Pentium workstations and 12 UNIX workstations. All computers are networked to the lab's printers, plotters, and other peripherals. Engineering packages available include ProEngineer, ANSYS, Mechanica, MatLab, Mathematica and several other design and analysis packages. Several analysis and educational packages are also provided. The lab is used in conjunction with the department's CAD/CAM curriculum, and computers are available to the students for other class work.

7. Computer Aided Manufacturing Laboratory. This laboratory gives students practical experience with modern manufacturing techniques. The major equipment in the lab consists of computer controlled milling machines and a CNC lathe. Students learn to program and operate the tools, and to automatically translate CAD drawings on the PC into finished parts on the machines. Drawing files can be transferred directly from computers in the CAD laboratory to the machine in the shop. Equipment is available for the design and construction of simple controlled tools by the students.

8. Machine Shop. The student machine shop has eight milling machines, six lathes, welding, and sheet metal equipment for student use. The shop is supervised, and instruction on the use of the tools is available. Students are encouraged to use the shop for their own design projects.

Research Laboratories

9. Microscale Thermal Processing Laboratory (Bennett). Research conducted in the Microscale Thermal Processing Lab involves the thermal management of small-scale systems in both fabrication and device operation. The lab research is conducted at the apex of where technology and science meet. The goal of the lab is to advance both fundamental understanding and processing technology in thermal science. Some current topics of research include: non-classical behavior of vaporization kinetics in pulsed laser deposition of thin film; developing laser based techniques for fabricating surface nanotexture for tribological enhancement of disk-drive storage media; and studying thermal asperities, which are disturbances in the computer-head readback signal arising from thermal fluctuations in the magnetoresistive element.

10. Environmental Engineering Laboratory (Lick). Research is being done on the transport and fate of sediments in surface waters, the transport and biochemical reactions of contaminants in surface waters and soils, and the interactions between contaminants in surface waters and the atmosphere. For the study of the transport and fate of sediments, available equipment includes an annular flume: a recently developed flume capable of measuring erosion rates of sediments with depth, particle sizers, settling tubes for the measurement of settling speeds, and Couette and disk flocculators. The laboratory is well equipped for the use of radio-labeled chemicals; these are being used in chemical sorption transport and bioavailability studies. In all this work, there are close interactions between the experimental investigations and numerical analysis and modeling. For this purpose, the laboratory is well equipped with computers.

11. Materials Reliability and Performance Laboratory (Odette). The theme of the research supported by the MRPL is to assess and improve the ability of materials to sustain long-term, high-performance operation in hostile environments, often associated with advanced aerospace and energy systems. Complemented by other on- and off-campus facilities and an extensive network of national and international collaborating institutions, the MRPL provides the capability to expose materials to conditions involving various combinations of high stress and temperature, chemically reactive gases and fluids and high-energy radiation fields. The durability of the materials under these challenging conditions, as well as routes to achieving better performance, are assessed by combining microstructural characterization down to the atomic scale, with specialized tools that relate the substructure to materials failure processes. Characterization tools accessible through the MPRL include radiation scattering (neutrons, electrons and x-rays) electron microscopy; positron annihilation and tomographic atom probe techniques. The MRPL also provides unique capabilities for in-situ observation of deformation and fracture of damaged materials, including tomographic image reconstruction methods. The MRPL has pioneered automated testing as well as advanced methods for extracting mechanical property information from small to microscale volumes of material, including biopsies from operating structures.

12. Computational Fluid Dynamics Laboratory (Meiburg). Research in the CFD Laboratory focuses on large-scale simulations of complex flow-fields and related nonlinear dynamical systems, as well as on computationally intensive hydrodynamic stability problems. A 20-processor SGI Origin computer represents the main computational resource. In addition, a range of UNIX and LINUX workstations are available for pre- and post-processing purposes.

13. Microfluidics Laboratory (Meinhart). The Microfluidics Laboratory conducts research in two primary areas: development of BioMEMS and the investigation of fluid mechanics at the microscale. In the BioMEMS area, the research group is teaming with groups in ECE and ThauMDx (a local biotechnology company) to develop a fully integrated laser-based immunoassay and molecular diagnostic sensor. In the microfluidics lab, fluid flow in devices with length scales of order one to one hundred microns is studied. Interests include developing micron resolution particle image velocimetry (micro-PIV), micro-mixing devices and protocols, particle manipulation using dielectrophoresis (DEP) and optical tweezers, and analysis of boundary conditions at the microscale.

14. Thermal-Fluid Sciences and Rheology Laboratory (Matthys). The work conducted in this laboratory focuses on fluid mechanics, heat transfer, and materials issues. Excellent experimental facilities are available. Non-Newtonian fluids such as polymer and surfactant solutions are investigated. Studies range from fundamental rheological investigations of molecular assembly dynamics to the practical development of new energy conservation technologies based on friction-reducing additives. Other areas of work include fluid mechanics and materials issues in biology applications; and transport phenomena in materials processing involving melting and solidification.

15. Mechanical Testing Laboratory (Odette). The MTL is a state of the art facility for characterization of the properties of advanced materials and structures, including composites, ceramics and alloys for aerospace and energy applications, biomaterials, smart materials systems, electronic packaging and microscale structures. An array of computer controlled mechanical testing devices and associated instrumentation and data acquisition systems forms the core of the facility. The focus of the MTL is on studies of deformation, fracture and fatigue, with the capability to simulate complex loading conditions in controlled environments over a wide range of temperatures, from cryogenic to 2000C. Unique capabilities for in-situ observations of deformation and fracture have also been developed, as well as some specialized facilities for materials processing and fabrication and studies of high loading rate fracture. Research in the MTL is supported by a large number of other experimental and computational laboratories housed in other College departments and centers. The MTL is used by a large number of researchers from a number of UCSB departments.

16. Structural Materials Processing Laboratory (Levi). This multi-user laboratory features an array of state-of-the-art equipment for producing alloys, ceramics, intermetallics and composites in bulk, coating or thin film forms, and for studying the influence of process variables on materials structure and performance. Specialized facilities include a dedicated unit for the synthesis of thermal barrier coatings by electron beam physical vapor deposition, a multi-source e-beam evaporator for deposition of alloys and multi-layer coatings and thin films; equipment for manufacturing advanced, porous-matrix continuous-fiber ceramic composites; squeeze casting; tape casting of ceramics and rapid solidification processing. In addition, the laboratory has facilities for alloy preparation under controlled environments, for powder processing and densification under high temperature/high pressure, furnaces for heat treatments and cyclic oxidation testing, and equipment for characterization of microstructure and properties.

17. Ocean Engineering Laboratory (McLean). The focus of research in the OEL is hydrodynamics and sediment transport. The laboratory is located near the campus in the Engineering Research Centers building. It features a large wind/wave tank, 55 m long, 4.5 m wide and 2.5 m deep. Wind speeds up to 13 m/s can be achieved with a height of approximately 1.5 m above the water surface. In addition to wind waves, two- or three-dimensional waves can also be generated mechanically with a plunging type wavemaker. Sediment transport experiments are conducted in a large tilting, re-circulating flume, 22 m long, 0.9 m wide and 0.9 m deep. This facility is equipped with acoustic Doppler and backscatter equipment to monitor fluid velocity, sediment concentration and bed elevation.

18. Microsystems Characterization Laboratory (Turner). The Microsystems Characterization Laboratory consists of cutting edge tools necessary for the fields of MEMS and Nanosystems. The primary function is to accurately measure the quasi-static and dynamic motion of MEMS and nano-systems. It consists of a laser Doppler vibrometer (LDV) based measurement system, capable of measuring the motion of MEMS devices from 0-1.5 MHz, with a displacement resolution of <10nm. Devices can be tested either using electrical probes or in packages. The suite is controlled by LabView. Additionally, there is a wafer probe station and an Olympus Provis optical microscope for research use. Windows NT workstations are available for doing MEMS modeling and fabrication as well.

19. Center for Risk Studies and Safety (Theofanous). Research in this lab focuses on turbulence and transport phenomena in multiphase systems, with particular reference to processes that are significant to environmental concerns, such as chemical and nuclear plant safety and waste management technologies. These experiments typically involve intense multiphase interactions under highly transient and rarely experienced settings. The primary experiments include: two hydrodynamic shock tubes for steam explosion research, apparatus for mixing hot particle clouds with coolants, an experiment to study natural convection at high Raleigh numbers, apparatus to study the critical heat flux in large-scale inverted geometry systems, and an experiment for the study of low gravity boiling and the effect of surfactants on critical heat flux. Instrumentation in the lab includes an infrared high-speed camera, a flash x-ray for quantitative radiography, high speed video and film cameras and high temperature melt-handling facilities. This work also involves large-scale numerical simulations, which are integrated toward achieving a significant practical contribution. Multi-scale numerical modeling is undertaken from the lattice Boltzman methods, to direct numerical simulations, to large-scale multifield models.

20. Fluid Mechanics and Stability Laboratory (Homsy). Research in this laboratory is devoted to the combined computational, analytical, and experimental study of fluid mechanics and thermal convection, with particular emphasis on hydrodynamic instabilities. Our computational resources include several high-end PC, Apple and DECAlpha workstations, with a full complement of software for scientific computing. Experimental facilities include laser-based flow visualization for LIF, PIV, and other velocimetries, digital imaging and analysis, and a wide variety of general laboratory equipment for study of fluid flows under various circumstances.

21. MEMS/NEMS Processing Laboratory (MacDonald). The MicroElectroMechanical Systems/NanoElectroMechanical Systems Processing Laboratory (MEMS/NEMS processing laboratory) is a semiconductor-processing laboratory for making MEMS/NEMS sensors, actuators, micro-instruments and 'biochips'. The emphasis is single crystal, silicon processing on 8" diameter silicon wafers, and materials integration of compound semiconductors, ceramics, metals and polymers on silicon. The laboratory processing equipment includes an Applied Materials Centura Platform with three independent reactive-ion-etch (RIE) chambers with a common 8" wafer-handler. One chamber is dedicated to RIE etching of silicon; the second chamber is a RIE silicon dioxide etcher; and the third RIE etcher is for high-aspect-ratio etching of nm-scale features in silicon. The wafers are loaded and sequenced by computer-controlled wafer handlers. Additional 8" silicon processing tools include Optical Lithography (130 nm, MFS) and a three tube oxidation furnace: one standard oxidation tube (~1 Micrometer SiO2 thickness) and one tube for growing thick, ~15 micrometers thick silicon dioxide layers and the third tube for CVD processing. Support processes include optical lithography processing, wafer bonding and wet processing of 8" silicon wafers. A suite of characterization tools include time-resolved field emission electron microscopy, a computer-controlled laser vibrometer and optical microscope on a robotic arm for measuring real time MEMS/NEMS velocity and nm-scale displacements, an Atomic Force Microscope, and capacitance and conductance/voltage instruments. Additional tools to store and process Bio samples will be added for Bio-related MEMS/NEMS research. The new MEMS/NEMS laboratory complements and extends the tools and processes available at the UCSB NSF/NUNN laboratory that is located in the same building.

22. Computational Materials Facilities (Odette). A network of workstations within the Department and College as well as high-speed access to major national computing facilities supports the rapidly growing area of computational materials. Computational Materials research in Mechanical and Environmental Engineering employs a variety of advanced simulation techniques such as finite element methods, molecular dynamics, Monte Carlo and large scale differential equation solvers. The College-wide Computational Science and Engineering Program also supports these activities.

Undergraduate Program

Bachelor of Science — Mechanical Engineering

Note: Schedules should be planned to meet both General Education and major requirements. Detailed descriptions of these requirements are presented elsewhere on this website.

Preparation for the major

The following 104 units of lower-division courses are required: Engineering 3; Mechanical Engineering 6, 10, 14, 15, 16, 17; Chemistry 1A-B, 1AL-BL; Mathematics 3A-B-C, 5A-B-C; Physics 1, 2, 3, 4, and 3L, 4L; Writing 2E, 50E; and 23 additional units of General Education requirements.

Students who are not Mechanical Engineering majors will generally be permitted to take lower division mechanical engineering courses, subject to meeting prerequisites and grade-point average requirements, availability of space and consent of the instructor.

Upper-division major

The following 79 units are required: Materials 100B; Mechanical Engineering 104, 105, 140A, 151A-B-C, 152A-B, 153, 154, 155A, 156A-B-C, 163, and 18 units of departmental electives and 13 units of general education or free electives. Requirements total 183 units.

The mechanical engineering elective courses are organized into coherent tracks, allowing students to acquire more in-depth knowledge in one of several areas of specialization, such as those related to: the environment; design and manufacturing; thermal and fluid sciences; structures, mechanics, and materials; and dynamics and controls. All students are required to select a track, and all tracks may include additional required courses. A student's specific course sequence is subject to the approval of the department advisor. Track options are posted in the student's junior year.

Courses required for the pre-major or major, inside or outside of the Department of Mechanical and Environmental Engineering, cannot be taken for the passed/not passed grading option. They must be taken for letter grades.

Honors Program

Students with a minimum grade-point average of 3.4 in the major may apply, in the spring quarter of their junior year, for the honors program. To qualify for honors, students must carry out a specific project under the direct supervision of a faculty member or complete two graduate courses with a grade-point average of 3.3 or better.

Pi Tau Sigma. Pi Tau Sigma is the national mechanical engineering honor society. Membership is based on academic achievement. To be eligible for membership, juniors must rank in the top quarter of their class and seniors in the top third of their class. Students who are qualified for membership will be contacted by representatives of Pi Tau Sigma.

Other organizations

• Tau Beta Pi (national engineering honor society)
• American Society of Mechanical Engineers (ASME)
• Society of Automotive Engineers (SAE)
• Society of Women Engineers (SWE)
• Los Ingenieros (Mexican-American Engineering Society/Society of Hispanic Professional Engineers)
• National Society of Black Engineers

Students interested in these organizations may contact the Mechanical Engineering Department office or the Undergraduate Office in the College of Engineering.

Research Opportunities

Upper-division undergraduates have opportunities to work in a research environment with faculty members who are conducting current research in the various fields of mechanical engineering. Students interested in pursuing undergraduate research projects should contact individual faculty members in the department.

In addition to departmental requirements, program applicants and candidates for graduate degrees must fulfill University requirements described in the section "Graduate Education at UCSB."

Specific details about departmental degree requirements are found in the departmental graduate guide which students receive upon admission. Departmental requirements stated in the guide are in addition to the minimum requirements stated below and in the section "Graduate Education at UCSB."

Master of Science -- Mechanical Engineering

Admission

In addition to Graduate Division requirements for admission to graduate status, the department requires a bachelor's degree or its equivalent from an accredited institution. Applicants with undergraduate preparation that is deemed inadequate may be required to take additional courses.

Degree Requirements

Students must choose a major field from among five stem areas presently offered by the department:

• Computational science and engineering
• Dynamic systems, controls, and robotics
• Environmental and ocean engineering
• Solid mechanics, structures and materials
• Thermofluid sciences

Significant flexibility exists in the requirements for each of these stem areas, and students are encouraged to gain expertise in modern cross cutting fields like: manufacturing; reliability engineering; microscale systems; design; aerostructures; composite technology; energy and transportation; environmental sensing; integrated sensors, actuators and control systems; computational simulation and others.

Two plans of study are offered, each requiring successful completion of 42 quarter-units of credit. Plan 1 is a combination of coursework and research, culminating in the preparation of a thesis; Plan 2 involves coursework and the completion of a written project.

Plan 1 (thesis). The department requires 42 units with thesis: 18 units of approved coursework in the major field, 9 units of approved elective courses in science and engineering, 3 units of graduate seminar, 12 units of ME 598, and completion of a thesis. No more than 9 units may be at the 100 level. All students must attend ME 200 each quarter in residence until the MS Degree requirements are completed.

Plan 2 (research project). The department requires 42 units without thesis: 18 units of approved coursework in the major field, 18 units of approved elective courses in science and engineering, 3 units of graduate seminar, and completion of a 3 unit project dealing with a topic in the major field. No more than 12 units may be at the 100 level. All students must attend ME 200 each quarter in residence until the MS Degree requirements are completed.

Doctor of Philosophy -- Mechanical Engineering

The emphasis in the Ph.D. program is on the ability to correlate knowledge in the pursuit of original research.

Admission

Applicants to the Ph.D. program must meet Graduate Division requirements for admission.

Degree Requirements

During the first year of study students are required to develop a formal study plan which must be approved by the student's faculty advisor and the department graduate advisor. In this plan, students select a major area of study from among the five fields offered by the department (see Master's Requirements for a listing of these areas). Significant flexibility exists in the requirements for each of these stem areas, and students are encouraged to gain expertise in modern cross cutting fields like: manufacturing; reliability engineering; microscale systems; design; aerostructures; composite technology; energy and transportation; environmental sensing; integrated sensors, actuators and control systems; computational simulation and others. All students in the Ph.D. program are required to pass a departmental oral screening exam. Students must take this examination within 15 months of being admitted to the Ph.D. program or within 6 months of entering with a Master's degree. Normally, a student without a Master's degree will have taken 15 units of approved graduate coursework prior to the screening examination. In the oral screening examination, students will be tested in their major area, as well as questioned in broader areas of mechanical and environmental engineering.

After passing the oral screening exam, students select a Ph.D. dissertation committee with the approval of their advisor. As part of the Ph.D. qualifying examination, each student must present a dissertation proposal to the Ph.D. committee for approval. Upon successful completion of this examination, students advance to candidacy.

Candidates must complete their dissertation and pass a thesis defense consisting of presenting a seminar talk and answering questions posed by their dissertation committee.

In addition to these requirements, Ph.D. students must complete a minimum of 36 quarter units of coursework: 18 units in key courses in the major field; 9 units in approved mechanical and environmental engineering courses; 9 units in approved science and engineering. Normally 27 units of credit is given to students who enter with an approved M.S. degree. The department requires that students maintain a minimum grade point average of 3.5. Students must attend ME 200 each quarter until advanced to candidacy.

Optional Graduate Degree Emphasis in Computational Science and Engineering

The Departments of Chemical Engineering, Computer Science, Electrical and Computer Engineering, Mathematics, and Mechanical and Environmental Engineering offer an interdisciplinary master's and Ph.D. degree emphasis in computational science and engineering (CSE).

CSE is a rapidly growing multidisciplinary area with connections to the sciences, engineering, mathematics, and computer science. Computer models and simulations have become an important part of the research repertoire, supplementing (and in some cases replacing) experimentation. Going from application area to computational results requires domain expertise, mathematical modeling, numerical analysis, algorithm development, software implementation, program execution, analysis, validation, and visualization of results. CSE addresses these issues.

Although CSE includes elements from computer science, applied mathematics, engineering and science, it focuses on the integration of knowledge and methodologies from all of these disciplines and, as such, is a subject distinct from any of them. All students pursuing an emphasis in CSE must complete the following:

• Numerical Methods: Mechanical and Environmental Engineering 210A-B-C-D (students must take at least three).

• Parallel Computing: Computer Science 240A-B (students must take at least one).

• Applied Mathematics: Students must take either the Math 214A-B or Math 215A-B sequence (run concurrently with Math119A-B and Math124A-B respectively), or the Mechanical and Environmental Engineering 244A-B sequence.

• Credit will not be given for more than one of these sequences. Advanced courses may be substituted, with approval, as follows: Math 243 instead of Math 214, and Math 246 instead of Math 215.

The specific requirements for the M.S. in Mechanical Engineering (thesis option only) with the CSE emphasis are as follows:

• The completion of the above requirements for an M.S. in mechanical engineering.
• A masters' thesis in CSE.

The thesis must be written under the supervision of a CSE ladder faculty member. The thesis committee must include a minimum of three permanent ladder faculty members, at least two from Mechanical and Environmental Engineering and one from CSE (may be CSE faculty member from another department).

Students pursuing a Ph.D. with an emphasis in CSE must:

• Complete the above requirements for a Ph.D. in mechanical engineering.

• Write and defend a dissertation in CSE.

• The student's dissertation must be written under the supervision of a Mechanical and Environmental Engineering CSE ladder faculty member. The doctoral examination committee must include at least one CSE ladder faculty member and at least one ladder faculty member from another department.

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Mechanical and Environmental Engineering Courses

Lower Division

Engineering 3. Introduction to C Programming
(3) Staff
Prerequisites: open to College of Engineering freshmen only, except computer science, pre-computer science, and computer engineering majors.
Introduction to C programming language. Considers algorithms, data structures, debugging, and program design. (F,S)

6. Basic Electrical and Electronic Circuits
(3) Khammash
Prerequisites: Physics 3-3L; Mathematics 3C; open to ME majors only.
Not open for credit to students who have completed ECE 2A or 2B, or ECE 6A or 6B.
Introduction to basic electrical circuits and electronics. Includes Kirchhoff's laws, phasor analysis, circuit elements, operational amplifiers, and transistor circuits.

10. Engineering Graphics: Sketching, CAD, and Conceptual Design
(4) DiNapoli
Prerequisite: ME majors only.
Introduction to engineering graphics, CAD, and freehand sketching. Develop CAD proficiency using advanced 3-D software. Graphical presentation of design: views, sections, dimensioning, and tolerancing.

11A. Introductory Concepts in Mechanical and Environmental Engineering I
(1) Staff
Prerequisites: Physics 1 and 2; Mathematics 3A-B-C.
Survey of mechanical and environmental engineering applications. Formulation and solution of simple representative problems. Lectures by mechanical engineering faculty and practicing engineers.

11B. Introductory Concepts in Mechanical and Environmental Engineering II
(1) Staff
Prerequisites: Physics 1 and 2; Mathematics 3A-B-C; ME 11A.
Continuation of ME 11A. Key underpinning conceptual principles of engineering. Simple team design projects to illustrate basic engineering and design principles. Application to ME CAD and computational tools.

12S. Introduction to Machine Shop
(1) Bothman
Prerequisite: ME majors only.
Basic machine shop skills course. Students learn to work safely in a machine shop. Students are introduced to the use of hand tools, the lathe, the milling machine, drill press, saws, and precision measuring tools. Students apply these skills by completing a project.

14. Statics
(4) Milstein
Prerequisites: Physics 1 and Mathematics 3B; open to ME majors only.
Free-body principle and Newton's third law, general force systems, distributed forces, internal forces, numerical and graphical solutions to three-dimensional problems in statics.

15. Strength of Materials
(4) Staff
Prerequisites: Physics 2 and ME 14; open to college of engineering students only.
Hooke's law and properties of structural materials. Methods of sections and virtual work and energy methods. Design applications to engineering structures, problems of tension, torsion, flexure and combined loading. Design beyond the elastic limit.

16. Engineering Mechanics: Dynamics
(4) Turner
Prerequisites: Physics 2; ME 14; and, Mathematics 5B; (may be taken concurrently); open to ME and EE majors only.
Not open for credit to students who have completed ME 163A.
Vectorial kinematics of particles in space, orthogonal coordination systems. Relative and constrained motions of particles. Dynamics of particles and systems of particles, equations of motion, energy and momentum methods. Collisions. Planar kinematics and kinetics of rigid bodies. Energy and momentum methods for analyzing rigid body systems. Moving frames and relative motion. Applications to mechanisms and machine elements.

17. Mathematics of Engineering
(3) Dahleh
Prerequisites: Engineering 3; Mathematics 5C (may be taken concurrently); open to ME majors only.
Engineering applications of mathematical methods. Topics include ordinary differential equations, linear algebra, calculus, Fourier analysis, and partial differential equations.

95. Introduction to Mechanical Engineering
(1-4) Staff
Prerequisite: consent of instructor.
May be repeated for credit to a maximum of 6 units.
Participation in projects in the laboratory or machine shop. Projects may be student- or faculty-originated depending upon student interest and consent of faculty member.

97. Mechanical Engineering Design Projects
(1-4) Staff
Prerequisite: consent of instructor.
May be repeated for maximum of 12 units, variable hours.
Course offers students opportunity to work on established departmental design projects. P/NP grading, does not satisfy technical elective requirement.

Upper Division

Engineering 100. Engineering Economic Analysis
(3) Staff
Prerequisite: upper-division standing in engineering.
Engineering feasibility factors and engineering economic analysis. Analysis of alternatives and estimates of demands and costs in engineering.

Engineering 101. Ethics in Engineering
(3) Staff
Prerequisite: upper-division standing in engineering.
The nature of moral value, normative judgment and moral reasoning. Theories of moral value. The engineer's role in society. Ethics in professional practice. Safety, risk, responsibility. Morality and career choice. Code of ethics. Case studies will facilitate the comprehension of the concepts introduced.

Engineering 103. Advanced Engineering Writing
(4) Staff
Prerequisites: Engineering 2A-B-C or Writing 1 or 1E or 2 or 2E; and, Writing 50 or 50E; upper-division standing.
Practice in the forms of communicationcontractual reports, proposals, conference papers, oral presentations, business plansthat engineers and entrepreneurial engineers will encounter in professional careers. Focus is on research methods, developing a clear and persuasive writing style, and electronic document preparation.

100. Professional Seminar
(1) Staff
Prerequisite: undergraduate standing.
May be repeated for up to 3 units. May not be used as a departmental elective.
A series of weekly lectures given by university staff and outside experts in all fields of mechanical and environmental engineering.

104. Sensors, Actuators and Computer Interfacing
(3) Bamieh
Prerequisites: ME 6; open to ME majors only.
Interfacing of mechanical and electrical systems and mechatronics. Basic introduction to sensors, actuators and computer interfacing and control. Transducers and measurement devices, actuators,
A/D and D/A conversion, signal conditioning and filtering. Practical skills developed in weekly lab exercises.

105. Mechanical Engineering Laboratory
(3) Bennett
Prerequisites: ME 151A-B, 152A-B, 163, and Materials 100B; open to ME majors only.
Introduction to fundamental laboratory measurement techniques and report writing skills. Experiments from thermosciences, fluid mechanics, mechanics, materials science and environmental engineering. Introduction to modern data acquisition and analysis techniques. (first offered 2001-2002)

106A. Advanced Mechanical Engineering Laboratory
(3) Staff
Prerequisites: ME 104, 105, and 151C.
An advanced lab course with experiments in fluid mechanics, thermodynamics, dynamics, controls, and materials. Students design, troubleshoot, and perform detailed, multi-session experiments.

110. Aerodynamics and Aeronautical Engineering
(3) Beltz, Meinhart
Prerequisites: ME 15 and 152A.
Concepts from aerodynamics, including lift and drag analysis for airfoils as well as aircraft sizing/scaling issues. Structural mechanics concepts are applied to practical aircraft design. Intended for students considering a career in aeronautical engineering.

112. Energy Conversion
(3) Staff
Prerequisites: ME 151C and ME 152A.
Overview of energy usage and production from prehistory to present times (technical, environmental, and societal issues). Technical analyses of the modern means of energy production (fossil, nuclear, hydro, wind, solar, geothermal, biomass, etc.): operating principles, hardware, engineering issues, environmental impact, etc.

114. Water Supply and Pollution Control
(3) Bruch
Prerequisite: ME 152A.
Water supply and quality requirements for domestic, industrial, agricultural, and recreational uses. Properties of natural surface and groundwaters. Pollutants in surface and groundwaters. Transport and fates of waterborne pollutants. Water and sewage treatment processes. Waste water reclamation. Water quality management in ground and surface water environments.

119. Introduction to Coastal Engineering
(3) McLean
Prerequisite: ME 152A.
Quantitative description of waves and tides: refraction, shoaling. Nearshore circulation. Sediment characteristics and transport; equilibrium beach profile; shoreline protection.

124. Advanced Topics in Transport Phenomena/Safety
(3) Banerjee
Prerequisites: Chemical Engineering 120A-B-C, or
ME 151A-B and ME 152A.
Same course as Chemical Engineering 124.
Hazard identification and assessments, runaway reactions, emergency relief. Plant accidents and safety issues. Dispersion and consequences of releases.

125AA-ZZ. Special Topics in Mechanical Engineering
(1-4) Staff
Prerequisite: consent of instructor.
May be repeated for credit to a maximum of 12 units, but only 4 units may be applied toward the major.
Individual courses each concentrating on one area in the following subjects: applied mechanics, CAD/CAM, controls, design, environmental engineering, fluid mechanics, materials science, mechanics of solids and structures, ocean and coastal engineering, robotics, theoretical mechanics, thermal sciences, and recent developments in mechanical engineering.

126. Introduction to Environmental Engineering and Science
(3) Lick
Prerequisites: ME 151A and 152A.
An introduction to environmental problems and their solutions. We will discuss surface water, ground water, and air pollution as well as risk analysis and the treatment of hazardous wastes.

134. Advanced Thermal Science
(3) Matthys
Prerequisite: ME 151C.
This class will address advanced topics in fluid mechanics, heat transfer, and thermodynamics. Topics of interest may include combustion, phase change, experimental techniques, materials processing, manufacturing, engines, HVAC, non-Newtonian fluids, etc.

136. Introduction to Multiphase Flows
(3) Theofanous
Prerequisites: Chemical Engineering 120A-B-C; or, ME 151C and 152A.
Same course as Chemical Engineering 136.
Development from basic concepts and techniques of fluid mechanics and heat transfer, to local behavior in multiphase flows. Key multiphase phenomena, related physics. Extension of local conservation principles to usable formulations in multiphase flows. Modelling approaches. Practical examples.

138. Risk Assessment and Management
(3) Theofanous
Prerequisites: ME 151B and 152A, or Chemical Engineering 120A-B-C.
Same course as Chemical Engineering 138.
Conceptual foundations of risk and its utility for decision making. Determinism, statistical inference, and uncertainty. Formulation of safety goals and approaches to risk management. Generalized methodology and tools for assessing risks in the industrial, ecological, and public health context.

140A. Numerical Analysis in Engineering
(3) Dahleh
Prerequisites: ME 17; open to ME majors only.
Building upon calculus and computer programming, the course covers basic numerical methods, including linear and nonlinear algebraic equations, interpolation and approximation, ordinary differential equations, numerical integration and differentiation, finite element and perturbation. Weekly assignments involve both pencil-and-paper and computer work.

140B. Theoretical Analysis in Mechanical Engineering
(3) Bruch
Prerequisites: ME 140A; open to ME and EE majors only.
Analysis of engineering problems formulated in terms of partial differential equations. Solutions of these mathematical models by means of analytical and numerical methods. Physical interpretation of the results.

141A. Introduction to MicroElectroMechanical Systems (MEMS)
(3) MacDonald
Prerequisites: ME 104 and 163.
Analysis of MEMS actuators and displacement sensors with emphasis on the analysis of capacitor-based sensing and actuation. Analysis and design of operational-amplifier models and circuits for capacitor sensors including feedback concepts. Vibration analysis of MEMS structures including wave equations for 'string' and bar structures. MEMS scaling concepts.

141B. MEMS: Semiconductor Processing and Device Characterization with Laboratory
(4) MacDonald
Prerequisites: ME 141A; and, Chemistry 1B-BL.
Lectures and laboratory on semiconductor processing for MEMS. Description and analysis of key semiconductor and equipment used for MEMS. Design and fabrication of MEMS capacitor-actuator and accelerometers, includes a description of MEMS characterization tools.

141C. MEMS: Applications and Analysis Methods
(3) Turner
Prerequisite: ME 141A.
Emphasis is on expanded MEMS applications and the use of energy methods in the design and analysis of MEMS. Lectures include an introduction to nonlinear analysis of MEMS.

151A. Thermosciences
(3) Yuen
Prerequisites: Physics 2; ME 14; and, Mathematics 5C (may be taken concurrently); open to ME and EE majors only.
Discussion of basic laws and concepts of thermodynamics such as pressure, temperature, energy, and entropy; consideration of their applications to various systems. Consideration given to the molecular structure and physical properties of the solid, liquid, and gaseous states. Introduction to vapor power cycles.

151B. Thermosciences
(3) Yuen
Prerequisite: ME 151A; open to ME majors only.
Application of basic thermodynamic principles and laws to energy conversion systems, gas mixtures, statistical thermodynamics, irreversible thermodynamics, conduction heat transfer.

151C. Thermosciences
(3) Homsy
Prerequisites: ME 151B and 152A; open to ME majors only.
The study of the fundamentals of heat transfer using the phenomena of conduction, radiation, and convection, application and analysis of steady state, transient, and combined mode problems.

152A. Fluid Mechanics
(3) Meinhart
Prerequisites: Mathematics 5C (may be taken concurrently), ME 16, and ME 151A (may be taken concurrently); open to ME and EE majors only.
Introduction to the fundamental concepts in fluid mechanics and basic fluid properties. Basic equations of fluid flow. Dimensional analysis and similitude. Hydrodynamics.

152B. Fluid Mechanics
(3) Meinhart
Prerequisite: ME 152A; open to ME majors only.
Incompressible viscous flow. Boundary-layer theory. Introductory considerations for one-dimensional compressible flow.

153. Introduction to Mechanical Engineering Design
(3) Beltz
Prerequisites: ME 10, 14, 15, and 16; open to ME majors only.
Design methods. Creative thinking. Introduction to manufacturing processes, design for manufacturing. Project planning and teamwork. Applications of engineering software. Application of engineering principles to practical problem solving. Codes and standards. Engineering ethics.

154. Design and Analysis of Structures
(3) McMeeking
Prerequisites: ME 15 and 16; open to ME majors only.
Introductory course in structural analysis and design. The theories of matrix structural analysis and finite element analysis for the solution of analytical and design problems in structures are emphasized. Lecture material includes structural theory compatibility method, slope deflection method, displacement method and virtual work. Topics include applications to bars, beams, trusses, frames, and solids.

155A. Control System Design
(3) Astrom
Prerequisite: ME 140A.
The discipline of control and its application. Dynamics and feedback. The mathematical models: transfer functions and state space descriptions. Simple control design (PID). Assessment of a control problem, specification, fundamental limitations, codesign of system and control.

156A. Mechanical Engineering Design I
(3) Lucas
Prerequisites: ME 153 and 154; and Materials 100B; open to ME majors only.
The rational selection of engineering materials, and the utilization of Ashby-charts, stress, strain, strength and fatigue failure consideration as applied to the design of machine elements. Lectures also support the development of system design concepts using assigned projects and involve the preparation of engineering reports and drawings.

156B. Mechanical Engineering Design II
(3) Kedward
Prerequisites: ME 156A; open to ME majors only.
Machine elements including gears, bearings, and shafts. Joint design and analysis: bolts, rivets, adhesive bonding and welding. Machine dynamics and fatigue. Design for reliability and safety. Codes and standards. Topics covered are applied in practical design projects.

156C. Mechanical Engineering Design III
(3) Kedward
Prerequisites: ME 156B; open to ME majors only.
Applications of fluids, thermodynamics, materials science, stress analysis, and machine design principles. Development of system-level perspective. Concurrent engineering. Integration of earlier design topics in system design projects.

158. Computer Aided Design and Manufacturing
(3) DiNapoli
Prerequisites: ME 10; open to ME majors only.
Engineering applications using advanced 3-D CAD software for plastic part designs and tooling. Topics include an overview of the design for injection molded plastic parts, material selections and electronic tooling design via CAD and CNC system software. Emphasis is put into final design projects that are designed to be functional, manufacturable, and esthetically pleasing.

162. Introduction to Elasticity
(3) Beltz
Prerequisites: ME 140A; and, ME 165 or 15.
Equations of equilibrium, compatibility, and boundary conditions. Solutions of two-dimensional problems in rectangular and polar coordinates. Eigen-solutions for the wedge and Williams' solution for cracks. Stress intensity factors. Extension, torsion and bending. Energy theorems. Introduction to wave propagation in elastic solids. (May not be offered each year.)

163. Engineering Mechanics: Vibrations
(3) Dahleh
Prerequisites: ME 16; open to ME and EE majors only.
Not open for credit to students who have completed ME 163B.
Topics relating to vibration in mechanical systems; exact and approximate methods of analysis, matrix methods, generalized coordinates and Lagrange's equations, applications to systems. Basic feedback systems and controlled dynamic behavior.

166. Advanced Strength of Materials
(3) Turner
Prerequisite: ME 15.
Analysis of statically determinate and indeterminate systems using integration, area moment, and energy methods. Beams on elastic foundations, curved beams, stress concentrations, fatigue, and theories of failure for ductile and brittle materials. Photoelasticity and other experimental techniques are covered, as well as methods of interpreting in-service failures.

167. Structural Analysis
(3) Yang
Prerequisites: ME 15 or 165; and ME 140A.
Presents introductory matrix methods for analysis of structures. Topics include review of matrix algebra and linear equations, basic structural theorems including the principle of superposition and energy theorems, truss bar, beam and plane frame elements, and programming techniques to realize these concepts.

168. Applied Finite Element Analysis
(3) Staff
Prerequisites: ME 15 or 165; and ME 140A.
Recommended preparation: ME 167.
Introductory course in use of finite elements to solve analytical and design problems. Topics include energy-based formulation, finite element discretization (nodes, elements); interpolating polynomials; applications to elasticity and heat transfer problems in two- and three-dimensions; isoparametric formulation, practical considerations in modeling and interpretation of results using FEM codes.

169. Nonlinear Phenomena
(4) Mezic
Prerequisites: Physics 105A or ME 163; or upper-division standing in ECE.
Same course as ECE 183 and Physics 106. Not open for credit to students who have completed ME 163C.
An introduction to nonlinear phenomena. Flows and bifurcation in one and two dimensions, chaos, fractals, strange attractors. Applications to physics, engineering, chemistry, and biology. (first offered 2001-2002)

170A. Introduction to Robotics: Robot Mechanics
(4) Paden
Same course as ECE 181A.
Recommended preparation: ME 16.
Overview of robot kinematics and dynamics. Structure and operation of industrial robots. Robot performance: workspace, velocity, precision, payload. Comparative discussion of robot mechanical designs. Actuators. Robot coordinate systems. Kinematics of position. Dynamics of manipulators.

170C. Introduction to Robotics: Robot Control
(4) Paden
Prerequisites: ECE 2A-B-C with a minimum grade of C-; or, ME 6 and 104.
Same course as ECE 181C.
Overview of robot control technology from open-loop manipulators and sensing systems, to single-joint servovalves and servomotors, to integrated adaptive force and position control using feedback from machine vision and touch sensing systems. Design emphasis on accurate tracking accomplished with minimal algorithm complexity.

173. Control Systems Synthesis
(3) Bamieh
Prerequisite: ME 155A.
Not open for credit to students who have completed ECE 147A.
Pole-placement, observer design, observer-based compensation, frequency and time-domain techniques, internal model principle, linear quadratic regulators, modeling uncertainty in signals and systems, robust stability and performance, synthesis for robustness.

185. Materials in Engineering
(3) Levi
Prerequisites: Materials 100B and 100C.
Same course as Materials 185.
Introduction to the main families of materials and the principles behind their development, selection, and behavior. Discussion of the generic properties of metals, ceramics, polymers, and composites more relevant to structural applications. Emphasis on the relationship of properties to structure and processing.

186. Manufacturing and Materials
(3) Levi
Prerequisites: ME 151C; and, ME 15 or 165; and Materials 100B.
Same course as Materials 186.
Introduction to the fundamentals of common manufacturing processes and their interplay with the structure and properties of materials as they are transformed into products. Emphasis on process understanding and the key physical concepts and basic mathematical relationships involved in each of the processes discussed.

193. Internship in Industry
(3) Staff
Prerequisite: consent of instructor and prior departmental approval needed.
Cannot be used as a departmental elective. May be repeated to a maximum of 6 units.
Special projects for selected students offered in conjunction with industrial practice in selected industrial and research firms, under direct faculty supervision.

195. Directed Research
(3) Staff
Prerequisite: consent of instructor.
This course cannot be used as a departmental elective and may not be repeated beyond a total of 6 units.
Special research projects open to selected students. Research projects are to be arranged by student and supervising faculty. The course is designed to give qualified undergraduates early experience in research.

196. Undergraduate Research
(2-4) Staff
Prerequisites: upper-division standing; and consent of the instructor.
Students must have a minimum 3.0 grade-point average for the preceding three quarters. May be repeated for up to 12 units. Not more than 4 units may be applied to departmental electives.
Research opportunities for undergraduate students. Students will be expected to give regular oral presentations, actively participate in a weekly seminar, and prepare at least one written report on their research.

197. Independent Projects in Mechanical Engineering Design
(1-4) Staff
Prerequisite: consent of instructor.
May be repeated for a maximum of 12 units, variable hours. No more than 4 units may be used as departmental electives.
Special projects in design engineering. Course offers motivated students opportunity to synthesize academic skills by designing and building new machines.

199. Independent Studies in Mechanical Engineering
(1-5) Staff
Prerequisites: consent of instructor; upper-division standing; completion of two upper-division courses in mechanical and environmental engineering.
Students must have a minimum of 3.0 grade-point average for the preceding three quarters and are limited to 5 units per quarter and 30 units total in all 98/99/198/199/199DC/199RA courses combined. No more than 4 units may be used as departmental electives. May be repeated to 12 units.
Directed individual study.

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Graduate Courses

200. Professional Seminar
(1) Staff
Prerequisite: graduate standing.
A series of weekly lectures given by university staff and outside experts in all fields of mechanical and environmental engineering.

200P. Master of Science Project
(3) Staff
Prerequisite: graduate standing.
A ten-week research project on an advanced topic in Mechanical Engineering.

201. Advanced Dynamics
(3) Staff
Vectorial dynamics, conservation theorems, particle and rigid body motion; analytical dynamics, Lagrange equations, rigid body dynamics, normal modes of oscillation.

202. Advanced Dynamics
(3) Staff
Prerequisite: ME 201.
Variational methods, Hamiltonian mechanics, Hamilton-Jacobi equation, Liouville's theorem, Liapunov stability, qualitative theory of dynamical systems.

203. Nonlinear Mechanics
(3) Staff
Prerequisite: ME 201.
Phase plane analysis, criteria of stability, study of Van der Pol, Duffing, Mathieu equations, Poincare-Bendixson theorem, method of Krylov-Bogoliuboff, equivalent linearization, perturbation methods.

208. Sediment Transport
(3) Staff
Prerequisite: ME 220A.
The transport and fate of fine-grained sediments and contaminants in aquatic systems. Includes resuspension, flocculation, settling speeds and numerical modeling of hydrodynamics, sediment and contaminant transport in rivers, lakes, estuaries, and near-shore oceanic areas. Risk analysis.

209. Contaminant Transport and Fate
(3) Lick
Prerequisite: consent of instructor.
Transport and fate of contaminants in surface waters, ground waters, and soils. Includes physical transport and transformations due to chemical and biological processes. Applications to water pollution in rivers, lakes, oceans, aquifers, and contaminated soils.

210A. Matrix Analysis and Computation
(4) Staff
Prerequisite: consent of instructor.
Same course as Computer Science 211A, ECE 210A, Mathematics 206A, and Chemical Engineering 211A.
Recommended preparation: Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.
Graduate level-matrix theory with introduction to matrix computations. SVD's, pseudoinverses, variational characterization of eigenvalues, perturbation theory, direct and iterative methods for matrix computations.

210B. Numerical Simulation
(4) Petzold
Prerequisite: consent of instructor.
Same course as Computer Science 211B, ECE 210B, Mathematics 206B, and Chemical Engineering 211B.
Recommended preparation: Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.
Linear multistep methods and Runge-Kutta methods for ordinary differential equations: stability, order and convergence. Stiffness. Differential algebraic equations. Numerical solution of boundary value problems.

210C. Numerical Solution of Partial Differential EquationsFinite Difference Methods
(4) Staff
Prerequisite: consent of instructor.
Same course as Computer Science 211C, ECE 210C, Mathematics 206C, and Chemical Engineering 211C.
Recommended preparation: Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.
Finite difference methods for hyperbolic, parabolic and elliptic PDEs, with application to problems in science and engineering. Convergence, consistency, order and stability of finite difference methods. Dissipation and dispersion. Finite volume methods. Software design and adaptivity.

210D. Numerical Solution of Partial Differential EquationsFinite Element Methods
(4) Staff
Prerequisite: consent of instructor.
Same course as Computer Science 211D, ECE 210D, Mathematics 206D, and Chemical Engineering 211D.
Recommended preparation: Students should be proficient in basic numerical methods, linear algebra, mathematically rigorous proofs, and some programming language.
Weighted residual and finite element methods for the solution of hyperbolic, parabolic and elliptical partial differential equations, with application to problems in science and engineering. Error estimates. Standard and discontinuous Galerkin methods.

212. Risk Assessment and Management
(3) Theofanous
Prerequisites: consent of instructor.
Same course as Chemical Engineering 212
Conceptual foundations of risk and its utility for decision making. Determinism, statistical inference, and uncertainty. Formulation of safety goals and approaches to risk management. Generalized methodology and tools for assessing risks in the industrial, ecological, and public health context.

218. Introduction to Multiphase Flows
(3) Theofanous
Prerequisite: consent of instructor.
Same course as Chemical Engineering 218.
Development from basic concepts and techniques of fluid mechanics and heat transfer, to local behavior in multiphase flows. Key multiphase phenomena, related physics. Extension of local conservation principles to usable formulations in multiphase flows. Modelling approaches. Practical examples. Computer simulations.

219. Continuum Mechanics
(3) Staff
Same course as Materials 207.
Matrices and tensors, stress deformation and flow, compatibility conditions, constitutive equations, field equations and boundary conditions in fluids and solids, applications in solid and fluid mechanics.

220A-B. Fundamentals of Fluid Mechanics
(3-3) Staff
Prerequisites: ME 151A-B and 152A-B.
Introductory course in fluid mechanics. Basic equations of motion (continuity, momentum, energy, vorticity), coordinate transformations, "potential" flow, thin airfoil theory, conformal mapping, vortex dynamics, boundary layers, stability theory, laminar/turbulent transition, turbulence. Inviscid/viscid, irrotational/rotational, incompressible/compressible flow examples.

221. Advanced Viscous Flow
(3) Staff
Prerequisite: ME 220A.
Review the Navier-Stokes equations in velocity, pressure, and vorticity variables. Analyze details of important low and moderate Reynolds number flow applications and then high Reynolds number flows with boundary layer phenomena. Compare exact, approximate, numerical, and experimental solution methods.

223. Turbulent Flow
(3) Staff
Prerequisites: ME 220A-B.
Nature and origin of turbulence, boundary layer mechanics law of the wall, wakes, and jets, transport of properties, statistical description of turbulence, measurement problems, stratification effects. Application of principles to practical problems will be stressed.

225AA-ZZ. Special Topics in Mechanical Engineering
(3) Staff
Prerequisite: consent of instructor.
Specialized courses dealing with advanced topics and recent developments in one or more of the following areas: dynamic systems, control and robotics, fluid mechanics, materials science and engineering, ocean engineering, solid mechanics and structures, thermal sciences.

226A. Applied Numerical Methods
(3) Staff
Prerequisite: ME 140A.
An introduction to the numerical solution of ordinary and partial differential equations by means of finite difference and finite element procedures.

226B. Applied Numerical Methods
(3) Staff
Prerequisite: ME 226A.
Weighted residual and finite element methods for the solution of partial differential equations with application to problems in fluid mechanics, heat flow, and mass transport.

230. Elasticity
(3) Staff
Prerequisite: ME 219.
Same course as Materials 230.
Review of the field equations of elasticity. Energy principles and uniqueness theorems. Elementary problems in one and two dimensions. Stress functions, complex variable methods and three-dimensional potential functions. Fundamental solutions in two and three dimensions. Approximate methods.

232. Plasticity
(3) Staff
Prerequisite: ME 230.
Same course as Materials 232.
Plastic, creep, and relaxation behavior of solids. Mechanics of inelastically strained bodies; plastic stress-strain laws; flow potentials. Torsion and bending of prismatic bars, expansion of thick shells, plane plastic flow, slip line theory. Variational formulations, approximate methods.

233A-B. Design of Composite Structures
(3-3) Kedward
Prerequisite: ME 230 or 275A.
Emphasis is placed on the differences of design with composites vis-à-vis the design of conventional metallic structures. The content is directed at the class of polymer-matrix composites.

234A. Structural Dynamics
(3) Staff
Formulation of the equations of motion for free and forced response of single and multi-degree of freedom systems and for distributed-parameter systems. Modal analysis. Approximate solution techniques. Numerical algorithms. Damping.

236. Nonlinear Control Systems
(4) Kokotovic, Teel
Same course as ECE 236.
Recommended preparation: ECE 230A.
Analysis and design of nonlinear control systems. Focus on Lyapunov stability theory, with sufficient time devoted to contrasts between linear and nonlinear systems, input-output stability and the describing function method.

237. Nonlinear Control Design
(4) Kokotovic, Teal
Prerequisite: ECE 236 or ME 236.
Same course as ECE 237.
Stabilizability by linearization and by geometric methods. State feedback design and input/output linearization. Observability and output feedback design. Singular perturbations and composite control. Backstepping design of robust controllers for systems with uncertain nonlinearities. Adaptive nonlinear control.

239. Conduction Heat Transfer
(3) Staff
Prerequisite: undergraduate course in heat transfer.
Development of mathematical representation of conduction heat transfer and techniques available for analytical, analog, and numerical solutions.

240. Convective Heat Transfer
(3) Staff
Prerequisite: undergraduate course in heat transfer.
Solutions to the momentum, continuity, and energy equations will be considered for both natural and forced convection. Applications to industrial problems, convective transfer in high-speed flows, heat transfer in rarefied flows, and the effects of chemical reactions on convective rates will be included.

241. Radiative Energy Transfer
(3) Staff
Prerequisite: undergraduate course in heat transfer.
The physical nature of radiation and of its interaction with matter, conservation principles in radiative transfer and their relation to molecular and convective processes, and thermodynamic equilibrium with consideration of nondimensional parameters will be considered. Applications to astrophysics, combustion, and plasma technology will be discussed.

243A-B. Linear Systems I, II
(4-4) Kokotovic, Bamieh
Prerequisites: ECE 234 (for ME 243A): ECE 140; and, ECE 230A or ME 243A; and ECE 234.
Same courses as ECE 230A-B.
Internal and external descriptions. Solution of state equations. Controllability and observability realizations. Pole assignment, observers; modern compensator design. Disturbance localization and decoupling. Least-squares control. Least-squares estimation; Kalman filters; smoothing. The separation theorem; LQG compensator design. Computational considerations. Selected additional topics.

244A. Advanced Theoretical Methods in Engineering
(3) Staff
Prerequisite: consent of instructor.
Same course as Chemical Engineering 230A.
Methods of solution of partial differential equations and boundary value problems. Linear vector and function spaces, generalized Fourier analysis, Sturm-Liouville theory, calculus of variations, and conformal mapping techniques.

244B. Advanced Theoretical Methods in Engineering
(3) Staff
Prerequisites: ME 244A and consent of instructor.
Same course as Chemical Engineering 230B.
Advanced mathematical methods for engineers and scientists. Complex analysis, integral equations and Green's functions. Asymptotic analysis of integrals and sums. Boundary layer methods and WKB theory.

245. Numerical Methods for Free and Moving Boundary Problems
(3) Staff
Prerequisite: some knowledge of finite difference and finite element methods.
A basic introduction to functional analysis. Formulation and numerical solutions for free and moving boundary problems with applications to such problems as steady and unsteady seepage, jets and cavities, melting and solidification of pure metals and alloys that freeze over a range of temperatures, etc.

250. Advanced Thermodynamics
(3) Staff
Prerequisites: ME 151A-B.
An extended treatment of the fundamentals of classical thermodynamics, including availability and reversibility, the chemical potential, properties of matter, thermochemistry, chemical equilibrium of real gases and gas mixtures.

251. Statistical Thermodynamics
(3) Staff
Prerequisites: ME 151A-B.
An extended treatment of the fundamentals of statistical thermodynamics, equilibrium distributions, properties of gases, liquids, and solids.

252A. Computational Fluid Dynamics
(3) Meiburg
Prerequisites: ME 210C or Computer Science 211C or ECE 210C or Mathematics 206C or Chemical Engineering 211C.
Numerical simulation of fluid flows. Basic discretization techniques for parabolic, elliptical, and hyperbolic conservation laws. Stability and accuracy. Diffusion equation, linear convection equation.

252B. Computational Fluid Dynamics
(3) Meiburg
Prerequisites: ME 210C or Computer Science 211C or ECE 210C or Mathematics 206C or Chemical Engineering 211C.
Discussion of appropriate boundary conditions. Nonlinear convection dominated problems, curvilinear coordinates, basics of grid generation. Inviscid flow, boundary layer flow, incompressible Navier-Stokes flows.

252C. Computational Fluid Dynamics
(3) Meiburg
Prerequisites: ME 210C or Computer Science 211C or ECE 210C or Mathematics 206C or Chemical Engineering 211C.
Compressible inviscid flows. Compressible viscous flows. Boundary element methods. Lagrangian and vortex methods.

260A. Materials Structures and Bonding
(3) Staff
Prerequisite: consent of instructor.
Crystal structures (Miller indices, Bravais lattices, symmetry operations). Modeling of atomic bonding, determination and applications of interatomic potentials, atomic basis for elastic moduli. Crystal anisotrophy. Lattice statics and molecular dynamics computations.

260B. Bonding and Crystal Elasticity
(3) Milstien
Prerequisite: consent of instructor.
Atomic basis for structure, elastic behavior, and stability of crystalline solids at finite strain. Anisotrophy of stress-strain relations. Determination and applications of embedded atom and pseudopotential models. Lattice statics and molecular dynamics computations.

262. Thermodynamics and Phase Equilibria
(3) Staff
Prerequisite: consent of instructor.
Same course as Materials 201.
Advanced thermodynamics with emphasis on phase equilibria, properties of solutions, and multicomponent systems.

264. Mechanical Behavior of Materials
(3) Staff
Prerequisite: consent of instructor.
Fundamentals of deformation and fracture of materials, and strengthening through microstructural control. Time independent plasticity and hardening mechanisms. Creep and superplasticity. Fracture mechanics. Crack propagation and toughening mechanisms. Stress corrosion cracking. Fatigue. Fracture statistics.

265. Composite Materials
(3) Staff
Prerequisite: consent of instructor.
Same course as Materials 261.
Stress and strain relations in composites. Residual stresses. The fracture resistance of organic and inorganic matrix composites. Statistical aspects of fiber failure. Composite laminates and delamination cracks. Cumulative damage concepts. Interface properties. Design criteria.

271. Finite Element Structural Analysis
(3) Staff
Prerequisite: ME 219.
Same course as Materials 240.
Definitions and basic element operations. Displacement approach in linear elasticity. Element formulation: direct methods and variational methods. Global analysis procedures: assemblage and solution. Plane stress and plane strain. Solids of revolution and general solids. Isoparametric representation and numerical integration. Computer implementation.

273. Dislocation Mechanics
(3) Beltz
Prerequisite: ME 230; concurrent enrollment in ME 275.
A rigorous review of classical dislocation theory with the intention of understanding its behavior in real materials (as it affects mechanical and electrical properties) as well as how it is used to construct solutions to elastic boundary value problems.

275. Fracture Mechanics
(3) Staff
Prerequisite: ME 230.
Same course as Materials 234.
Analytic solutions of a stationary crack under static loading. Elastic and elastoplastic analysis. The J integral. Energy balance and crack growth. Criteria for crack initiation and growth. Dynamic crack progagation. Fatigue. The micromechanics of fracture.

283A. Waves in Fluids
(3) Staff
Prerequisites: ME 152A-B.
The fundamental mechanics of water and acoustic waves. Governing equations. Wave propagation, refraction, and reflection. Noise generation. Dispersive effects; group velocity; stationary phase; ray theory. Onshore waves. Ship waves and wave resistance. Introduction to nonlinear effects; Stokes limiting wave; solitons.

285. Geophysical Fluid Dynamics
(3) Staff
Prerequisite: ME 152A.
The ocean-atmosphere system. Air-sea interaction governing equations for rotating system: conservation of mass, momentum and energy. Ocean surface waves: generation, spectral characteristics. Internal waves. Geostrophic motion. Rotating boundary layers: Ekman dynamics. Tides. Kelvin waves.

501. Teaching Assistant Practicum
(1-4) Staff
Normally required of students serving as teaching assistants. No unit credit allowed towards advanced degree.
Practical experience in the various activities associated with teaching, including lecturing, supervision of laboratories and discussion sections, preparation and grading of homework and exams.

503. Research Assistant Practicum
(1-4) Staff
Will not count as unit credit towards M.S. or Ph.D. degree in mechanical engineering.
Practical experience in the various activities associated with research, including experimental work, theoretical work and analyses, and assisting department faculty and other professional researchers in their duties.

596. Directed Reading and Research
(3) Staff
Prerequisite: consent of instructor.
Cannot be used as part of the course requirements towards the M.S. and Ph.D. degree. S/U grading.
Individual tutorial. Instructor usually student's major professor. A written proposal for each tutorial must be approved by the department chair.

597. Individual Study for Ph.D. Qualifying Examination
(1-12) Staff
Prerequisite: graduate standing.
No unit credit allowed toward advanced degree. Maximum of 12 units per quarter; enrollment limited to 24 units per examination. Instructor is normally student's major advisor. S/U grading.
Individual studies for Ph.D. qualifying examination.

598. Master's Thesis Research and Preparation
(1-12) Staff
Prerequisite: consent of thesis advisor.
No unit credit allowed toward advanced degree.
For research underlying the thesis and writing of the thesis.

599. Ph.D. Dissertation Research and Preparation
(1-12) Staff
Prerequisite: consent of dissertation advisor.
No unit credit allowed toward advanced degree.
For research and preparation of the dissertation.

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