Mechanical and Aerospace Engineering (MAE)
Courses
For course descriptions not found in the 2005-2006 General
Catalog, please contact the department for more information.
All students enrolled in MAE courses or admitted to an MAE program
are expected to meet prerequisite and performance standards, i.e., students
may not enroll in any MAE courses or courses in another department which
are required for the major prior to having satisfied prerequisite courses
with a C or better. (The department does not consider D or F grades
as adequate preparation for subsequent material.) Additional details
are
given under the various program outlines, course descriptions, and admission
procedures for the Jacobs School of Engineering in this catalog. Furthermore,
the majority of MAE courses have enrollment restrictions which give priority
to or are open only to students
who have been admitted to an MAE major. Where these restrictions apply,
the registrar will not enroll other students except by department stamp
on class enrollment cards. The department expects that students will
adhere
to these policies of their own volition and enroll in courses accordingly.
Students are advised that they may be dropped at any time from course
rosters if prerequisites have not
been met.
While most lower-division courses are offered more than once each
year, many MAE upper-division courses are taught only once per year,
and
courses are scheduled to be consistent with the curricula as shown in
the tables. When possible, MAE does offer selected large enrollment
courses
more than once each year.
Lower-Division
MAE 01. Introduction to Mechanical and Aerospace Engineering (4) A
general introduction to the various specialties in mechanical engineering
using analysis of a specified system. Performance prediction using engineering
analysis. Performance testing and post-test evaluation. A discussion
of the role of engineers in research, design and development, testing,
management, teaching. Professional ethics. Prerequisite: MAE majors
only.
MAE 02. Introduction to Aerospace Engineering (4) An
introduction to topics in aeronautical and astronautical engineering
including aerodynamics, propulsion, flight mechanics, structures, materials,
orbital mechanics, design, mission planning, and environments. General
topics include historical background, career opportunities, engineering
ethics, and professionalism. Prerequisite: none.
MAE 03. Introduction to Engineering Graphics and Design (4) Introduction
to design process through a hands-on design project performed in teams.
Topics include problem identification, concept generation, project management,
risk reduction. Engineering graphics and communication skills are introduced
in the areas of: Computer-Aided Design (CAD), hand sketching, and technical
communication. Prerequisite: grade of C or better in Physics
2A or 4A (or concurrent enrollment). Priority enrollment given to engineering
majors.
MAE 05. Quantitative Computer Skills (4) Introductory
course for non-engineering majors. Use of computers in solving problems;
applications from life sciences, physical sciences, and engineering.
Students run existing computer programs and complete some programming
in BASIC. Prerequisite: none.
MAE 09. C/C++ Programming (4) C/C++ computer
programming under the UNIX environment with applications to numerical
problems fundamental to computational mechanics. Arithmetic operations,
branches, arrays, data structures, and use of pointers are introduced.
Programming ethics are discussed. Priority enrollment given to pre-engineering
and engineering majors.
MAE 10. FORTRAN for Engineers (4) FORTRAN
90 computer programming under UNIX environment with applications to
numerical problems relevant to engineering applications. Arithmetic
operations, control constructs, subprograms, arrays and array processing.
Input/Output handling and some advanced features of FORTRAN 90 are introduced.
Programming ethics. Priority enrollment given to pre-engineering and
engineering majors.
MAE 20. Elements of Materials Science (4) The
structure of materials: metals, ceramics, glasses, semiconductors, superconductors
and polymers. Control of internal structure to produce desired properties.
Mechanical, rheological, electrical, optical, superconducting and magnetic
properties and classification. Prerequisites: Phys. 2A or 4A, Chem.
6A, Math. 21C or 20D (or concurrent registration).
MAE 87. Freshman Seminar (1) The Freshman
Seminar program is designed to provide new students with the opportunity
to explore an intellectual topic with a faculty member in a small seminar
setting. Freshman seminars are offered in all campus departments and
undergraduate colleges, and topics vary from quarter to quarter. Enrollment
is limited to fifteen to twenty students, with preference given to entering
freshmen. Prerequisite: none.
MAE 90. Undergraduate Seminar (1) Selected
topics of interest to the faculty will be used to introduce students
to engineering science. Prerequisite: none. Not open to upper-division
students.
Upper-Division
MAE 101A. Introductory Fluid Mechanics (4) Fluid
statics; fluid kinematics; integral and differential forms of the conservation
laws for mass, momentum and energy; Bernoulli equation; potential flows;
dimensial analysis and similitude. Prerequisites: admission to an
engineering major and grades of C or better in Phys. 2A, Math.
20D, 20E.
MAE 101B. Advanced Fluid Mechanics (4) Laminar
and turbulent flow. Pipe flow including friction factor. Boundary layers,
separation, drag, and lift. Compressible flow including shock waves.
Professional ethics will be discussed. Prerequisite: admission to
an engineering major and grade of C or better in MAE 101A and
MAE 110A.
MAE 101C. Heat Transfer (4) Extension
of fluid mechanics in MAE 101A-B to viscous, heat-conducting flows.
Application of the energy conservation equation to heat transfer in
ducts and external boundary layers. Heat conduction and radiation transfer.
Heat transfer coefficients in forced and free convection. Design applications.
Prerequisite: admission to an engineering major and grade of C
or better in MAE 101A-B.
MAE 104. Aerodynamics (4) Basic relations
describing flow field around wings and bodies at subsonic and supersonic
speed. Thin-wing theory. Slender-body theory. Formulation of theories
for evaluating forces and moments on airplane geometries. Application
to the design of high-speed airplanes. Prerequisites: admission to
the engineering major and grade of C or better in MAE 101A-B.
MAE 105. Introduction to Mathematical Physics (4) Fourier
series, Sturm Liouville theory, elementary partial differential equations,
integral transforms with applications to problems in vibration, wave
motion, and heat conduction. Prerequisites: admission to engineering
major or and grades of C or better in Phys. 2A-B and Math. 20D
or Math. 21D.
MAE 107. Computational Methods in Engineering (4) Introduction
to scientific computing and algorithms; iterative methods, systems of
linear equations with applications; nonlinear algebraic equations; function
interpolation and differentiation and optimal procedures; data fitting
and least-squares; numerical solution of ordinary differential equations.
Prerequisites: engineering majors only and grades of C or better
in MAE 9 or MAE 10 and Math. 20F.
MAE. 110A. Thermodynamics (4) Fundamentals
of engineering thermodynamics: energy, work, heat, properties of pure
substances, first and second laws for closed systems and control volumes,
gas mixtures. Application to engineering systems, power and refrigeration
cycles, combustion. Prerequisites: grades of C- or better in Phys.
2C and Chem 6A. Enrollment restricted to engineering majors only.
MAE 110B. Thermodynamic Systems (4) Thermodynamic
analysis of power cycles with application to combustion driven engines:
internal combustion, diesel, and gas turbines. Thermodynamics of mixtures
and chemical and phase equilibrium. Computational methods for calculating
chemical equilibrium. Prerequisite: grade of C or better in
MAE 110A.
MAE 113. Fundamentals of Propulsion (4) Compressible
flow, thermodynamics, and combustion relevant to aircraft and space
vehicle propulsion. Analysis and design of components for gas turbines,
including turbines, inlets, combustion chambers and nozzles. Fundamentals
of rocket propulsion. Prerequisites: admission to engineering major
and grades of C or better in MAE 110A or CENG 102 and MAE 101A-B-C
or CENG 101A-B-C (formerly CENG 103A-B-C).
MAE 117A. Elementary Plasma Physics (4) (Cross-listed
with Physics 151.) Particle motions, plasmas as fluids, waves, diffusion,
equilibrium and stability, nonlinear effects, controlled fusion. Prerequisites:
Math. 21D or consent of instructor. Phys. 100B-C or ECE 107
are suggested.
MAE 117B. Industrial Plasma Applications (4) Charged
particle motion in DC and RF electro-magnetic; atomic processes in plasmas;
ionization, excitation, dissociation, rate constants, electron energy
balance electric breakdown of the gases; debye length, plasmas quasi-neutrality,
sheath; DC, capacitive, inductive, and wave-heated discharges; etching,
deposition, and implantation. Prerequisites: Phys. 100B-C or ECE
107 or consent of instructor; Math. 21D.
MAE 117L. Elements of Experimental Plasma Physics (4) Measurements
of electron density and temperature with the lengmuire probes, emission
spectroscopy measurements of neutrals and ions in plasmas; electric
breakdown of the gases; plasmas etching of materials. Prerequisites:
none.
MAE 118A. Energy: Non-Nuclear Energy Technologies (4) Oil
recovery from tar sands and oil shale. Coal production, gasification,
liquefaction. The hydrogen economy. Energy storage systems. Techniques
for direct energy conversion. Solar energy utilization. Hydroelectric
power generation. Hydrothermal energy. Geothermal energy from hot rocks.
Electrical power production, transmission, and distribution. Prerequisite:
consent of instructor.
MAE 118B. Energy: Nuclear Energy Technologies (4) A
brief survey of energy demands and resources. Available nuclear energy,
background in atomic and nuclear physics; fission and fusion processes,
physics of fission reactionsengineering aspectssafety and
environmental effects, fusion-including laser fusion and magnetic confinement,
and nuclear power economics. Prerequisite: consent of instructor.
MAE 118C. Introduction to Fusion Science and Technologies (4) Overview
of basic fusion processes, high-temperature plasma characteristics,
and fusion power plant features. Reaction rates and energy balance
for burning fusion plasmas. Survey of the enabling technologies for
practical
fusion and related applications outside of fusion, such as plasma-material
interactions, plasma heating, high heat flux engineering, superconductivity,
advanced materials, and nuclear technology. Prerequisites: MAE 101A
or CENG 103A or CENG 101A, and Physics 100B, 100C, ECE 107,
or
their equivalent.
MAE 120. Dynamics of Natural Flows (4) Description
of atmosphere and oceans; hydrological cycle. Dynamics of stratified
and rotating flows. Surface and interfacial waves; the solitary wave,
hydraulic flows. Flow over topography. Gravity currents. Stratified
withdrawal. Applications to river flow, estuaries, atmosphere-ocean
system, water treatment, reservoir management. Prerequisites: MAE
101B and MAE 105 with a grade of C or better.
MAE 121. Convective Flows in the Environment (4) Convection
and the Rayleigh number. Plumes and thermals relation to atmospheric
boundary layer and ocean mixed layer. Effects of rotation. Katabatic
flows. Fires and clouds. Double-diffusive convection with oceanographic
and industrial applications; solar ponds. Prerequisites: MAE 101B
and MAE 105 with a grade of C or better.
MAE 122. Air Pollution Modeling (4) Fickian
diffusion; advection-diffusion equation. Turbulent dispersion and eddy
diffusivities. Gaussian plume models for passive scalars; entrainment.
Concepts of buoyancy and momentum fluxes. Similarity theory of the atmospheric
boundary layer. Current practices and regulations. Experience with air
dispersion software. Prerequisites: MAE 101B and MAE 105 with a grade
of C or better.
MAE 123. Fluid-Solid Interactions in Environmental Engineering (4) Fundamentals
of adsorption and surface reactions, and processes in porous media and
packed beds (diffusion/dispersion/flow coupled with adsorption/reaction).
Examples include reactions on atmospheric particulates, reactions on
ice crystals in the polar atmosphere and effect on ozone, transport
of contaminant plumes in groundwater, and remediation processes such
as catalytic destruction of air pollutants. Prerequisite: consent
of instructor.
MAE 124. The Human Earth: An Introduction to Environmental Engineering
and Policy (4) (Cross-listed with ESYS 103.)
This course explores the impacts of human social, economic, and industrial
activity on the environment. It highlights the central roles in ensuring
sustainable development played by market forces, technological innovation
and governmental regulation on local, national, and global scales. Prerequisites:
grade of C or better in Math. 20B or Math. 10A-C; Phys. 2B or
Phys. 1A-C; and Chem. 6B or by consent of instructor.
MAE 125A. Flow and Transport in the Environment (4) Study
of river flow and hydraulic control; surface waves; applications to
reservoirs and estuaries. Introduction to stratification and buoyancy;
applications to atmospheric surface layer and the ocean mixed layer.
Ideas behind turbulent dispersion. Turbulent and scaling laws. Gravity
currents and katabatic flows. Prerequisites: engineering majors and
students receiving a grade of C or better in MAE 101A or CENG
103A or CENG 101A.
MAE 125B. Fluid-Solid Interactions in Environment Engineering (4) Introduction
to groundwater flow. Pollution transport through the water table. Chemical
processes in ozone hole. Fundamentals of flow. Darcy flow. Diffusion
and dispersion. Gravity currents and plumes in porous media. Mushy layers.
Chemistry of fluid-solid interactions. Fundamentals of adsorption and
surface reactions. Prerequisites: engineering majors and students
receiving a grade of C or better in MAE 125A.
MAE 125C. Case Studies In Environmental Engineering (4) This
course is project-oriented. Students will conduct research in small
groups, give oral presentations and write reports. Topics reflect material
in MAE 125A and MAE 125B. Possible topics: air pollution modeling, building
ventilation, wetland preservation. Prerequisites: engineering majors
and student receiving a grade of C or better in MAE 125A-B.
MAE 126A. Environmental Engineering Laboratory I (4) Design
and analysis of experiments in environmental engineering. Experiments
in wind tunnel, water tunnel, and other equipment. Use of instrumentation.
Laboratory report writing; error analysis; engineering ethics. Prerequisites:
grade of C or better in MAE 101A, MAE 125A-B.
MAE 126B. Environmental Engineering Laboratory II (4) Design
and analysis of original studies in environmental engineering. Students
work on environmental projects and use computational and laboratory
facilities. Students propose and design studies, collect and analyze
data, and prepare a major report. Prerequisite: grade of C
or better in MAE 126A.
MAE 127. Statistical Methods for Environmental Sciences and Engineering
(4) Methods for evaluating environmental data including probability
distributions, confidence intervals, functional fitting, spectral analysis,
and programming
methods for data analysis. Prerequisite: grade of C– or better
in Math. 20C.
MAE 130A. Mechanics I: Statics (4) (Cross-listed
with SE 101A) Principles of statics using vectors; two and three-d
equilibrium
of statically determinate structures under discrete and distributed
loading including hydrostatics; internal forces and concepts of stress;
free body diagrams; moment, product of inertia; analysis of trusses
and beams. Prerequisites: Math. 20C and Phys. 2A with grades of
C
or better. Students cannot also receive credit for SE 101A.
MAE 130B. Mechanics II: Dynamics (4) (Cross-listed
with SE101B) Kinematics and kinetics of particles in 2-D and 3-D motion
by using vector representation. Orbital mechanics. Work, energy, and
power. Conservative forces, conservation principles. Momentum, impulsive
motion and impact. Rigid body kinetics and kinematics; Coriolis acceleration,
eulerian angles. Undamped vibrating systems. Prerequisites: Math.
20D and MAE 130A or SE 101A with grades of C or better. Student
cannot also receive credit for SE 101B.
MAE 130C. Mechanics III: Vibrations (4) Free
and forced vibrations of damped one-degree of freedom systems. Matrix
representation of discrete multiple degree of freedom systems. Use of
Matlab for both modal analyses and response analyses of systems subjected
to impulse and step loading. Lagranges equations. Modal superposition
for analysis of continuous vibrating systems with applications to structures.
Prerequisites: admission to the engineering major and grades of C
or better in Math. 20F and MAE 130B or SE 101B.
MAE 131A. Fundamentals of Solid Mechanics I (4) Stress
and strain, generalized Hookes law. Mechanics of deformable bodies
under torsional, shearing and bending loads. Deflection of beams. Stability
of columns. St. Venants semi-inverse torsion analysis. Strain
energy and energy principles. Design of statically indeterminate rods,
shafts, beams and columns. Professional ethics. Prerequisites: admission
to the engineering major and Grades of C or better in Math. 20D
or 21D, 20F; and MAE 130A or SE 101A.
MAE 131B. Fundamentals of Solid Mechanics II (4) Continuum
mechanics of solids and its application to the mechanical response of
machine and structural elements. Stress and strain in indicial notation;
field equations and constitutive relations. Linear elastic stress analysis
in torsion, plane stress and plane strain; stress concentrations; fracture
mechanics. Extremum principles and structural stability. Viscoelasticity,
plasticity, and failure criteria. Theorems of plastic limit analysis.
Prerequisites: admission to the engineering major and grades of C
or better in MAE 131A, and MAE 105 (or concurrent enrollment).
MAE 131C. Solid Mechanics III (4) Small
deflection theory of plates. Solutions for rectangular and circular
plates. Buckling of rectangular plates. Large deflections and shear
deformations. Energy methods and finite element method of analysis.
Prerequisites: admission to the engineering major and grade of C
or better in MAE 131A.
MAE 133. Finite Element Methods in Mechanical and Aerospace Engineering
(4) Development of stiffness and mass matrices
based upon variational principles and application to static, dynamic,
and stability design problems in structural and solid mechanics. Architecture
of computer codes for linear and nonlinear finite element analysis and
basic computer implementation. The use of general purpose finite element
structural analysis computer codes. Prerequisites: admission to the
engineering major and grades of C or better in MAE 131AB and MAE
107.
MAE 135. Computational Mechanics (4) Mathematical
modeling in terms of systems of algebraic and differential equations.
Overview of numerical methods. Problem statement, boundary, and initial
conditions. Overview of commerical packages for solving the equations
of Mathematical and Engineering Physics. Numerical solutions of selected
examples drawn from real-life applications of fluid flow, solid mechanics,
and heat transfer with emphasis on design. Prerequisite: consent
of instructor.
MAE 137. Technical Writing for Engineers (2) Writing
techniques for clear and effective presentation of technical information
and ideas. Fundamentals of editing through peer review under instructor
guidance. Several short papers on technical topics will be assigned.
Students must complete college writing requirement(s) prior to taking
this course. Prerequisites: completion of College Writing Program
with a grade of C or better (HUM 5 or MCWP 50 or DOC 3 or WARR
10B or MMW 6 or 6H).
MAE 140. Linear Circuits (4) Steady-state
and dynamic behavior of linear, lumped-parameter electrical circuits.
Kirchoffs laws. RLC circuits. Node and mesh analysis. Operational
amplifiers. Signal acquisition and conditioning. Electric motors. Design
applications in engineering. Prerequisites: admission to the engineering
major and grades of C or better in Math. 20D, and Phys. 2B.
MAE 142. Dynamics and Control of Aerospace Vehicles (4) The
dynamics of vehicles in space or air are derived for analysis of the
stability properties of spacecraft and aircraft. The theory of flight,
lift, drag, dutch roll and phugoid modes of aircraft are discussed.
Optimal state space control theory for the design of analog and digital
controllers (autopilots). Prerequisites: admission to the engineering
major and grades of C or better in MAE 104 and MAE 141A or MAE
143B or ECE 171A.
MAE 143A. Signals and Systems (4) First-order
vector ordinary differential equations, concepts of state, input and
output. Linearity and linearization concepts introduced with solutions.
Laplace and Fourier transforms are defined for signals. Transfer functions
and frequency responses for systems. Spectra and filtering for deterministic
signals, probability and statistics of random signals and treatment.
Prerequisites: admission to MAE or bioengineering major and grade
of C or better in Math. 20E, 20F, and 20D.
MAE 143B. Linear Control (4) Analysis
and design of feedback systems in the frequency domain. Transfer functions.
Time response specifications. PID controllers and Ziegler-Nichols tuning.
Stability via Routh-Hurwitz test. Root locus method. Frequence response:
Bode and Nyquist diagrams. Dynamic compensators, phase-lead and phase-lag.
Actuator saturation and integrator wind-up. Prerequisite: grade
of C or better in MAE 143A.
MAE 143C. Digital Control Systems (4) Discrete
time systems: sampling. aliasing, stability, Z-transform, discrete time
signals, state space models; state equations, canonical forms, observability,
controllability. Pole placement design, observer design, output feedback,
linear quadratic regulator design. Implementation: digital approximation,
computational and numerical issues. Prerequisite: grade of C
or better in MAE 143B.
MAE 149. Sensor Networks (4) (Cross-listed
with ECE 156 and SIO 238.) Focus on the characteristics of chemical,
biological, seismic, and other physical sensors; signal-processing techniques
supporting disbtributed detection of salient events; wireless communication
and networking protocols supporting formation of robust sensor fabrics;
current experience with low power, low cost sensor deployments. Undergraduates
will be given a final exam. Graduates will be required to complete a
term-paper or formal project. Prerequisites: upper-division standing
and consent of instructor, or graduate student in science or engineering.
MAE 150. Computer-Aided Design (4) Computer-Aided
Analysis and Design. Design methodology, tolerance analysis, Monte Carlo
analysis, kinematics and computer-aided design of linkages, numerical
calculations of moments of inertia, design of cams and cam dynamics;
finite element analysis, design using Pro-E, Mechanica Motion and Mechanica
Structures. Prerequisites: grade of C or better in MAE 130A
or SE 101A; BENG 110, and MAE 107.
MAE 152. Computer Graphics for Engineers and Scientists (4) Computer
graphics algorithms using C programming and Ironcad. Applications in
engineering and science. Line-drawing algorithms. Area fill algorithms,
color, CAD user interface, spline curves and surfaces, 2-D and 3-D transformations,
wireframe and solid models. Hidden-surface elimination. Prerequisities:
grade of C or better in MAE 3 and MAE 9 or 10.
MAE 155A. Aerospace Engineering Design I (4) Fundamental
principles of aerospace vehicle design including the conceptual, preliminary,
and detailed design phases. Aeronautical or astronautical design project
that integrates all appropriate engineering disciplines as well as
issues associated with optimization, teamwork, manufacturability, reporting,
and professionalism. Prerequisites: grade of C or better
in MAE 104, 113, 130C, 142, 150, SE 2 and SE 160B. Students may enroll
concurrently with MAE 113 and 142.
MAE 155B. Aerospace Engineering Design II (4) Fundamental
principles of aerospace vehicle design including the conceptual, preliminary,
and detailed design phases. Aeronautical or astronautical design project
that integrates all appropriate engineering disciplines as well as
issues associated with optimization, teamwork, manufacturability, reporting,
and professionalism. Prerequisites: grade of C or better in
MAE 130C, 150, 155A.
MAE 156A. Fundamental Principles of Mechanical Design I (4) Fundamental
principles of mechanical design and the design process. Application
of engineering science to the design and analysis of mechanical components.
Initiation of team design projects that culminate in MAE 156B with
a
working prototype designed for a real engineering application. Professional
ethics. Prerequisite:
grade of C or better in MAE 3, MAE 101C, MAE 130C, MAE 131A,
MAE 150, MAE 160, and MAE 170.
MAE 101C and MAE 150 may be taken concurrently.
MAE 156B. Fundamental Principles of Mechanical Design II (4) Fundamental
principles of mechanical design and the design process. Culmination of
a team design project initiated in MAE 156A which results in a working
prototype designed for a real engineering application. Prerequisite:
grade of C or better in 156A in the immediately preceding quarter,
MAE 101C, MAE 150.
MAE 160. Mechanical Behavior of Materials (4) Elasticity
and anelasticity, dislocations and plasticity of crystals, creep, and
strengthening mechanisms. Mechanical behavior of ceramics, composites,
and polymers. Fracture: mechanical and microstructural. Fatigue. Laboratory
demonstrations of selected topics. Prerequisites: grades of C
or better in MAE 20, MAE 130A (or SE 101A) and MAE 131A.
MAE 161. Electronic, Magnetic, and Photonic Materials (4) Introduction
to the worlds of electronic, magnetic/photonic materials, the unique
properties of advance engineering materials in relation to processing,
fabrication, and microstructure. Semiconductors,
metals, alloys, ceramics, polymers, and composite materials and their
practical applications. Prerequisite: consent of instructor.
MAE 162. Advanced Materials: Processing, Selection and Design (4) Introduction
to various techniques used in fabricating useful bodies with optimal
structural, magnetic, optical, or electronic properties. Influence of
the type of raw material, densification techniques and methods to tailor
composition and microstructure. Ceramics, metals, semiconductors, and
composites will be discussed. Prerequisite: MAE 160 or consent of
instructor.
MAE 163. Mechanics of Porous Materials (4) Powder
packing structures. Fundamentals of the continuum mechanics of powder
deformation, plasticity of porous materials. Micromechanical models.
Review of main methods of powder shaping, synthesis and manufacturing
of high density structures: cold consolidation, forging, rolling, sintering,
uniaxial hot pressing, hot isostatic compaction (HIP), extrusion, injection
molding. Prerequisite: consent of instructor.
MAE 165. Fatigue and Failure Analysis of Engineering Components
(4) The engineering and scientific aspects
of crack nucleation, slow crack growth, and unstable fracture in crystalline
and amorphous solids. Microstructural effects on crack initiation, fatigue
crack growth and fracture toughness. Methods of fatigue testing and
fracture toughness testing. Fractography and microfractography. Design
safe methodologies and failure prevention. Failure analysis of real
engineering structures. Prerequisite: consent of instructor.
MAE 166. Nanomaterials (4) Basic principles of synthesis
techniques, processing, microstructural control and unique physical
properties of materials in nano-dimensions.
Nanowires, quantum dots, thin films, electrical transport, optical
behavior, mechanical behavior, and technical applications of nanomaterials.
Prerequisite: consent of instructor.
MAE 167. Wave Dynamics in Materials (4) Pressure
and shear waves in infinite solids. Reflection and diffraction. Rayleigh
and Love waves in semi-infinite space. Impulse load on a half space.
Waveguides and group velocity. Prerequisite: consent of instructor.
MAE 168. MEME Materials, Fabrication, and Applications (4) The
principles of micro-electro-mechanical systems (MEMS) fabrication,
materials involved, actuation principles utilized, and the fundamentals
of MEMS operation in relation to stresses and deformation. Novel
device applications, future trends, and nano-electro-mechanical (NEMS)
systems. Prerequisite: consent of instructor.
MAE 170. Experimental Techniques (4) Principles
and practice of measurement and control and the design and conduct
of
experiments. Technical report writing. Lectures relate to dimensional
analysis, error analysis, signal-to-noise problems, filtering,
data
acquisition and data reduction, as well as background of experiments
and statistical analysis. Experiments relate to the use of electronic
devices and sensors. Prerequisite: Grade of C– or better
in Phys. 2CL and admission to any engineering major.
MAE 171A. Mechanical Engineering Laboratory I (4) Design
and analysis of experiments in fluid mechanics, solid mechanics,
and
control engineering. Experiments in wind tunnel, water tunnel, vibration
table and material testing machines, and refined electromechanical
systems.
Laboratory report writing; error analysis; engineering ethics. Prerequisites:
grade of C or better in MAE 101C (or CENG 103C); MAE 160, MAE
141A or MAE 143B, MAE 170, and senior standing in engineering major
or consent of instructor.
MAE 171B. Mechanical Engineering Laboratory II (4) Design
and analysis of original experiments in mechanical engineering. Students
research projects using experimental facilities in undergraduate laboratories:
wind tunnel, water channel, vibration table, and testing machine and
control systems. Students propose and design experiments, obtain data,
complete engineering analysis and write a major report. Prerequisite:
requires a grade of C or better in MAE 171A.
MAE 175A. Aerospace Engineering Laboratory I (4) Analysis
of aerospace engineering systems using experimental facilities in undergraduate
laboratories: wind tunnel, water channel, vibration table, and testing
machine. Students operate facilities, obtain data, complete engineering
analysis and write major reports. Prerequisites: senior standing
in engineering major and grade of C or better in MAE 101C or
CENG 103C or CENG 101C; MAE 141A or MAE 143B, MAE 170.
MAE 175B. Aerospace Engineering Laboratory II (4) Design
and analysis of original experiments in aerospace engineering. Students
research projects using experimental facilities in undergraduate laboratories:
wind tunnel, water channel, vibration table, testing machine and control
systems. Students propose and design experiments, obtain data, complete
engineering analysis and write a major report. Prerequisite: requires
a grade of C or better in MAE 175A.
MAE 180A. Space Science and Engineering I (4) Introduction
to space science. Earth, planetary atmospheres, especially upper atmospheres.
Magnetospheres, energetic particles. Electromagnetic spectrum. Atmospheric
attenuation, windows. Detection methods, instruments. Imaging systems,
image processing. Observations from space. Newtonian mechanics of bound
orbits. Science on manned, unmanned missions. Prerequisite: upper-division
standing in physics, chemistry, or engineering department.
MAE 180B. Space Science and Engineering II (4) Introduction
to space science. Overview of the universe and solar system; the sun
and its atmosphere. The outer and inner planets and their moons. Asteroids
and comets; other solar systems; extraterrestrial life; space transportation.
Prerequisites: Math. 20A, Physics 2A or 4A, Chem. 6A-B.
MAE 191. Topics in Engineering Science (4) Course
to be given at the discretion of the faculty in which topics of current
interest in engineering will be presented by visiting or resident faculty
members. Prerequisite: consent of instructor.
MAE 195. Teaching (2-4) Teaching and
tutorial assistance in an MAE course under supervision of instructor.
Not more than four units may be used to satisfy graduation requirements.
P/NP grades only. Prerequisites: junior status and a B average in
major and consent of department chair.
MAE 197. Engineering Internship (1-4) Coordinated
through UCSD Academic Internship Program, this course provides work
experience through industry, government offices, hospitals and their
practices. Students will work in local industry or hospital under faculty
supervision. Units may not be applied toward major graduation requirements.
Internship is unsalaried. Prerequisites: completion of ninety units
with 2.5 GPA and consent of faculty adviser.
MAE 198. Directed Group Study (1-4) Directed
group study on a topic or in a field not included in the regular department
curriculum, by special arrangement with a faculty member. May be taken
P/NP only. Prerequisite: consent of instructor.
MAE 199. Independent Study for Undergraduates (4) Independent
reading or research on a problem by special arrangement with a faculty
member. P/NP grades only. Prerequisite: consent of instructor.
GRADUATE COURSES
205. Graduate Seminar (1) Each graduate
student in MAE is expected to attend one seminar per quarter, of his
or her choice, dealing with current topics in fluid mechanics, solid
mechanics, applied plasma physics and fusion, chemical engineering,
applied ocean sciences, energy and combustion, environmental engineering,
or materials science, and dynamics and controls. Topics will vary. (S/U
grades only)
207. Topics in Engineering Science (4) A
course to be given at the discretion of the faculty in which topics
of current interest in engineering will be presented. Prerequisite:
consent of instructor.
209. Continuum Mechanics Applied to Medicine/Biology (4) (Cross-listed
with BENG 209.) Introduction to the basic definitions of continuum mechanics
and their mathematical formulation at the graduate level with applications
to problems in medicine and biology. This course is intended for students
with little or no background in mechanics; it is an introduction to
the Biomechanics courses BENG 250 A-B in the Department of Bioengineering
and to Solid and Fluid Mechanics courses MAE 210A and MAE 231A in the
Department of Mechanical and Aerospace Engineering. This course should
NOT be taken concurrently with MAE 210 or MAE 231A. Prerequisite:
consent of instructor.
210A. Fluid Mechanics I (4) (Cross-listed
with CENG 210A.) Basic conservation
laws. Flow kinematics. The Navier-Stokes equations and some of its
exact solutions. Non-dimensional parameters and different flow regimes,
vorticity
dynamics. Prerequisites: MAE 101A-B
and MAE 110A, or consent of instructor.
210B. Fluid Mechanics II (4) Potential
flows, boundary layers, low-Reynolds number flows. Prerequisites:
MAE 210A, MAE 101A-B, and MAE 110A, or consent of instructor.
210C. Fluid Mechanics III (4) Flow instabilities,
linear stability theory; introduction to turbulent flows. Prerequisites:
MAE 210A-B, MAE 101A-B, and MAE 110A, or consent of instructor.
211. Introduction to Combustion (4) Fundamental
aspects of flows of reactive gases, with emphasis on processes of combustion,
including the relevant thermodynamics, chemical kinetics, fluid mechanics,
and transport processes. Topics may include deflagrations, detonations,
diffusion flames, ignition, extinction, and propellant combustion. Prerequisites:
MAE 101A-B-C or CENG 103A-B-C, MAE 110A, or consent of instructor.
212. Introductory Compressible Flow (4) Equations
of motion for compressible fluids; one-dimensional gas dynamics and
wave motion, waves in supersonic flow, including oblique shock waves;
flow in ducts, nozzles, and wind tunnels; methods of characteristics.
Prerequisites: MAE 101A-B-C or CENG 103A-B-C, MAE 110A, or consent
of instructor.
213. Mechanics of Propulsion (4) Fluid
mechanics, thermodynamics and combustion processes involved in propulsion
of aircraft and rockets by air breathing engines, and solid and liquid
propellant rocket engines characteristics and matching of engine components;
diffusers, compressors, combustors, turbines, pumps, nozzles. Prerequisites:
MAE 101A-B-C, MAE 110A, or consent of instructor.
214A. Introduction to Turbulence and Turbulent Mixing (4) Basic
features of turbulent flows. Analytical description of turbulence: random
variables, correlations, spectra, Reynolds-averaging, coherent structures.
Length and time scales. Kolomogorov similarity theory. Turbulence transport
equations. Free shear flows. Homogeneous turbulence. Wall-bounded flows.
Mixing of velocity and scalar fields. Prerequisites: MAE 210A, MAE
101A,B or equivalent or consent of instructor.
214B. Ocean Turbulence and Mixing (4) (Cross-listed
with SIO 213.) Mixing mechanisms, their identification, description
and
modeling. Introduction to turbulence, semi-empirical theories, importance
of coherent structures, effects of stratification and rotation on
turbulent
structure, entrainment and mixing. S/U grades permitted.
215. Hydrodynamic Stability (4) Kelvin-Helmholtz
instability of shear layers, the Orr-Sommerfeld equation and its solution
for inviscid and viscous flows. Taylor instability of circular Couette
flows; finite amplitude stability; chaos; transition to turbulence.
Prerequisite: MAE 210A-C or equivalent.
217. Introduction to Plasma Equilibria, Waves, and Instabilities
(4) Plasma kinetic theory. Two fluid and
MHD descriptions of plasmas. Plasma equilibrium configurations and macroscopic
stability. Waves in plasmas, collisional and landau damping. Microscopic
plasma instabilities. Amomalous cross field plasma transport. Nonlinear
wave processes; parametric instabilities, self focusing, solitons. Prerequisite:
none
218A. Physics of Gas Discharge Plasmas and Appplications (4) Charged
particle motion in electromagnetic field. Atomic processes in plasmas.
Electric breakdown of the gases, plasma quasineutrality, weakly ionized
plasma particle and energy fluxes, sheath. Electron kinetics, DC and RF
driven discharges, plasma instabilities. Etching, deposition, implantation,
and surface modification. Prerequisite: Physics 100 (B-C) or ECE 107
or equivalent.
220A. Physics of Gases (4) Thermodynamics
of gases for use in gasdynamics. Derivation of thermodynamic functions
from statistical mechanics. Applications of classical and quantum statistical
mechanics to chemical, thermal, and radiative properties of gases. Equilibrium
and nonequilibrium radiation, chemical equilibrium, and elements of
chemical kinetics. Laser and reacting-flow applications. Prerequisite:
MAE 110A or consent of instructor.
220B. Physical Gas Dynamics (4) Velocity
distribution functions, the Boltzmann equation, moment equations and
the Navier-Stokes equations. The dynamics of molecular collisions.
The Chapman-Enskog expansion and transport coefficients: shear and
bulk
viscosity, heat conduction, molecular and thermal diffusion. Linearizations
about equilibrium: applications to acoustics and supersonic flows
with
relaxation. Prerequisite: MAE 101A-B-C or CENG 103A-B-C or CENG
101A-B-C, MAE 220A, or consent of instructor.
221A. Heat Transfer (4) (Cross-listed
with CENG 221A.) Conduction, convection,
and radiation heat transfer. Development of energy conservation equations.
Analytical and numerical solutions to transport problems. Specific topics
and applications vary. Prerequisite: MAE 101A-B-C or CENG 103A-B-C
or CENG 101A-B-C, or consent of instructor.
221B. Mass Transfer (4) (Cross-listed
with CENG 221B.) Fundamentals of diffusive and convective mass transfer
and mass transfer with chemical
reaction. Development of mass conservation equations. Analytical and
numerical solutions to mass transport problems. Specific topics and
applications will vary. Prerequisite:
MAE 101A-B-C or CENG 103A-B-C or CENG 101A-B-C, or consent of instructor.
222A-B-C. Advanced Fluid Mechanics (4-4-4) Contemporary
problems in broad areas of fluid mechanics, e.g., turbulent flows, hydrodynamic
stability, geophysical fluid dynamics, transport phenomena, acoustics,
boundary layers, etc. (Not necessarily taught as a sequence nor offered
every quarter.) Prerequisite: MAE 210A-B-C or consent of instructor.
223. Computational Fluid Dynamics (4) Numerical
methods in fluid dynamics and convective transport processes. Numerical
solution of the Euler and Navier-Stokes equation. Additional topics
will vary according to instructor. Examples include eigenvalue problems
in hydrodynamic stability, vortex methods, spectral and panel methods.
Prerequisite: MAE 210A, 210B, 290A-B or equivalent.
224. Environmental Fluid Dynamics (4) (Cross-listed
with SIO 214B.) Single-layer flows with a free surface, two layer flows
including exchange flows in harbors, estuaries, seas, and buildings.
Continuously stratified flows with meteorological and oceanographic
applications. Topographic effects, plumes, jets, and thermals. Planetary
boundary layers. Prerequisites: introductory level graduate course
in fluid mechanics.
227A. Fundamentals of Fusion Plasma Physics (4) Magnetic
and inertial confinement fusion concepts. Magnetic equilibrium configurations
and limitations. Classical and anomalous transport of magnetically confined
plasmas. Plasma-wall interactions. Rayleigh-Taylor and Richter-Meshkov
instabilities. Direct and indirect drive, laser and particle beams.
Emerging and alternative concepts. Prerequisite: none
227B. Fundamentals of Modern Plasma Physics (4) Fusion
plasma turbulence, magnetic reconnection, strong electromagnetic wave/plasma
I interactions, numerical simulations of nonlinear plasma phenomena,
issues of plasma astrophysics and space plasmas, plasma based propulsion,
plasma boundary layers in fusion devices, plasma chemistry. Prerequisite:
MAE 227A or consent of instructor
229A. Mechanical Properties (4) (Cross-listed
with MATS 211A.) Review of basic concepts in mechanics of deformation:
elasticity, plasticity, viscoelasticity and creep; effects of temperature
and strain-rate on inelastic flow; microstructure and mechanical properties;
application of basic concepts to selected advanced materials. Prerequisite:
consent of instructor.
229B. Advanced Mechanical Behavior (4) (Cross-listed
with MATS 211B.) Rate mechanisms in crystaline solids, kinetics and
dynamics of plastic flow by slip at low and high strain rates. Mechanisms
of inelasticity in non-metals, metals, and polymeric materials. Mechanisms
of failure and effects of strain rates. Prerequisite: MAE 229A or
consent of instructor.
231A. Foundations of Solid Mechanics (4) Specification
of stress and strain; infinitesimal and finite deformation; conservation
equations; typical constitutive equations; minimum potential energy
principle. Prerequisite: MAE 131B or consent of instructor.
231B. Elasticity (4) Basic field equations.
Typical boundary value problems of classical linear elasticity. Problems
of plane stress and plane strain. Variational principles. Prerequisite:
MAE 231A or consent of instructor.
231C. Anelasticity (4) Mechanical models
of viscoelastic, plastic, and viscoplastic behavior in simple shear
or uniaxial stress. Constitutive relations for three-dimensional states
of stress and strain. Application to selected technological problems.
Prerequisite: MAE 231B or consent of instructor.
232A. Finite Element Methods in Solid Mechanics I (4) Finite
element methods for linear problems in solid mechanics. Emphasis on
the principle of virtual work, finite element stiffness matrices, various
finite element formulations and their accuracy and the numerical implementation
required to solve problems in small strain, isotropic elasticity in
solid mechanics. Prerequisite: graduate standing.
232B. Finite Element Methods in Solid Mechanics II (4) Finite
element methods for linear problems in structural dynamics. Beam, plate,
and doubly curved shell elements are derived. Strategies for eliminating
shear locking problems are introducted. Formulation and numerical solution
of the equations of motion for structural dynamics are introduced and
the effect of different mass matrix formulations on the solution accuracy
is explored. Prerequisites: graduate standing and MAE 230 or MAE
232A.
233A. Fracture Mechanics (4) Theoretical strength; stress concentration.
Linear and nonlinear fracture mechanics: stress singularity, fracture
modes, crack tip plastic
zone, dugdale model, the R-curve; power-law materials, the J-integral;
fatigue; special topics. Prerequisite: MAE 231A, MAE 231B, or
consent of instructor.
233B. Micromechanics (4) General theory
of transformation strains and corresponding elastic fields; Greens
functions and other solution methods; dislocations; inclusions and
inhomogeneities;
micromechanics of plastic flow, microcracking, cavitation, and damage
in crystalline and other solids. Prerequisite: MAE 231A-B-C or consent
of instructor.
233C. Advanced Mechanics of Composite Materials (4) Three-dimensional
anisotropic constitutive theories, anisotropic fracture mechanics, composite
micromechanics, edge effects and interlaminar shear stresses, impact damage
and energy absorbing mechanisms, and surface wave. Prerequisite: MAE 131A-B-C,
231A-B or consent of instructor.
238. Stress Waves in Solids (4) Linear
wave propagation; plane waves; reflection and refraction; dispersion
induced by geometry and by material properties. Application of integral
transform methods. Selected topics in nonlinear elastic, anelastic,
and anisotropic wave propagation. Prerequisite: MAE 231A-B-C or consent
of instructor.
241. Advances in Control Applications (4) Study
of problems of control design, identification, and optimization for
flexible and smart structures, fluid flows, propulsion, power generation,
vehicle dynamics (aerospace, ocean, and automotive), magnetic recording,
semiconductor manufacturing, biological systems, robot manipulations,
and other applications. Prerequisites: MAE 141A or equivalent.
243. Advances in Two-Phase Flow (4) Modern
developments in understanding of two-phase flows will be reviewed. New
experimental methods and new theoretical concepts will be covered, as
will potential future practical applications. Prerequisites: MAE
210A-B-C.
244. Advanced Simulation and Modeling of Turbulent Flows (4) Progress
in the area of simulation and modeling of turbulent flows will be reviewed.
Methods to be covered include: direct simulations, large-eddy simulation,
and Reynolds averaged turbulence models. Prerequisites: MAE 210ABC;
MAE 214; MAE 290AB.
245. Advances in Combustion Theory (4) Asymptotic
analyses of flame structure. Combustion in two phase flows. Turbulent
combustion. Prerequisites: MAE 210AB; MAE 211; MAE 213.
246. Advances in Engine Combustion (4) Mathematical
models of combustion in diesel engines and spark-ignition engines. Mechanisms
of soot formation. Prerequisites: MAE 210AB; MAE 211; MAE 213.
247. Advances in Experimental and Theoretical Mechanics of Materials
(4) The focus will be on coordinated experimental
evaluation and theoretical modeling of thermal mechanical properties
of a broad class of materials. Using state-of-the-art techniques, students
will gain hands-on experience with modern experimental tools in the
area of mechanics and materials. Prerequisites: consent of the instructor.
248. Advances in Magnetic Recording (4) This
course will address recent advances in mechanics, tribology, and materials
problems of magnetic recording technology. Of special interest will
be the treatment of the head/disk and head/tape interface, the numerical
schemes used to model the head/medium interface and advanced tribological
phenomena needed to understand this fast developing and changing technology.
Additional (guest) lecturers on magnetic recording theory and signal
processing will be part of the class. Prerequisite: none.
249. Advances in Materials Computations (4) This
course will cover nonlinear finite element methods in large deformations
and nonlinear materials. Particular emphasis will be placed on material
models that are appropriate for high strain rates, high pressures, and
phase transformations. Prerequisites: MAE 231A, 232A.
251. Structure and Analysis of Solids (4) (Cross-listed
with MATS 227 and Chem. 222.) Key
concepts in the atomic structure and bonding of solids such as metals,
ceramics, and semiconductors. Symmetry operations, point groups, lattice
types, space groups, simple and complex inorganic compounds, structure/property
comparisons, structure determination with x-ray diffraction. Ionic,
covalent, metallic bonding compared with physical properties. Atomic
and molecular orgitals, bands vs. bonds, free electron theory.
Prerequisite: consent of instructor.
252AB. Processing and Synthesis of Advanced Materials (4) (Cross-listed
with MATS 233A-B.) Introduction to various materials processing techniques
used in fabricating dense bodies with optimal structure and properties.
Solidification processing, chemical synthesis of ceramics, theory of
densification, composite fabrication, superconductor synthesis, electronic
and optical materials processing, and techniques to generate amorphons
solids.
Prerequisite: consent of instructor. 253. Ceramic and Glass Materials (4) (Cross-listed
with MATS 236.) Powder synthesis, powder compaction and densification
via different processing routes. Phase equilibria and crystallography
in ceramic materials. Sintering, liquid and vapor phase processing,
and single crystal growth. Control of the microstructural development
and interfacial properties optimize properties for structural, thermal,
electrical, or magnetic use. Topics in processing and use of advanced
ceramic materials. Glass formation and structure, phase separation,
viscous flow and relaxation.
Prerequisite: consent of instructor.
256. Rheology of Fluids (4) Continuum
mechanics of fluids; definition of material functions for viscous and
viscoelastic liquids; principles of rheological measurement; relationship
to molecular structure. Prerequisite: consent of instructor.
265A. Electronic and Photonic Properties of Materials (4) (Cross-listed
with MATS 251A.) The electronic and optical properties of metals, semiconductors,
and insulators. The concept of the band
structure. Electronic and lattice conductivity. Type I and Type II
superconductivity. Optical engineering using photonic band gap crystals
in one-, two-, and three-dimensions. Current research frontiers. Prerequisite:
consent of instructor.
265B. Magnetic Materials: Principles and Applications (4) (Cross-listed
with MATS 251B.) The basis of magnetism: Classical and quantum mechanical
points of view. Different kinds of magnetic
materials.
Magnetic phenomena including anisotropy, magnetostriction, domains,
and magnetization dynamics. Current frontiers of nano-magnetics research
including thin films and particles. Optical, data storage, and biomedical
engineering applications of soft and hard magnetic materials. Prerequisite:
consent of instructor.
266. Biomaterials (4) (Cross-listed with
MATS 252.) This class will cover biomaterials and biomimetic materials.
Metal, ceramic, and polymer biomaterials will be discussed. Emphasis
will be on the structure-property relationships, biocompatibility/degradation
issues and tissue/material interactions. Synthesis and mechanical testing
of biomimetic materials will also be discussed.
Prerequisite: consent of instructor. 267. Nanomaterials and Properties (4) (Cross-listed
with MATS 253.) This course discusses synthesis techniques, processing,
microstructural control and unique physical properties of materials
in nano-dimensions. Topics include nanowires, quantum dots, thin films,
electrical transport, electron emission properties, optical behavior,
mechanical behavior, and technical applications of nanomaterials.
Prerequisite: consent of instructor. 268. MEMS Materials, Fabrication, and Applications (4) (Cross-listed
with MATS 254.) Fabrication of Micro-Electro Mechanical Systems (MEMS)
by bulk and surface micromachining of single crystal, polycrystal and
amorphous silicon and other materials. Performance issues including
electrostatic, magnetic, piezoelectric actuations, residual stresses,
deformation. Novel device applications, future trends in smart materials
and nano-electro-mechanical (NEMS) systems.
Prerequisite: consent of instructor. 269. Presentations, Inventions and Patents (4) (Cross-listed
with MATS 255.) This course covers methodology and skills for oral and
written presentations. Topics include preparation of presentation materials,
presentation exercise, publication manuscripts, research work proposals,
understanding and securing of inventions and intellectual properties,
patent applications and licensing. Prerequisite: consent of instructor.
271A. Thermodynamics of Solids (4) (Cross-listed
with MATS 201A and ECE 238A.) The
thermodynamics and statistical mechanics of solids. Basic concepts,
equilibrium properties of alloy systems, thermodynamic information from
phase diagrams, surfaces and interfaces, crystalline defects. Prerequisite:
consent of instructor.
271B. Solid State Diffusion and Reaction Kinetics (4) (Cross-listed
with MATS 201B and ECE 238B.) Thermally
activated processes, Boltzmann factor, homogenous and heterogenous
reactions, solid state diffusion, Fick's laws, diffusion mechanisms,
Kirkendall
effect, Boltzmann-Matano analysis, high diffusivity paths. Prerequisite:
consent of instructor.
271C. Phase Transformations (4) (Cross-listed
with MATS 201C and ECE 238C.) Classification
of phase transformations; displacive and reconstructive transformations;
classical and non-classical theories of nucleation; Becker-Doering,
Volmer-Weber, lattice instabilities, spinodal decomposition. Growth
theories; interface migration, stress effects, terrace-ledge mechanisms,
epitaxial growth, kinetics and mechanics. Precipitation. Order-disorder
transformations. Solidification. Amorphization. Prerequisites:
consent of instructor.
272. Imperfections in Solids (4) (Cross-listed
with MATS 205A and ECE 234A.) Point,
line, and planar defects in crystalline solids, including vacancies,
self interstitials, solute atoms, dislocations, stacking faults, and
grain boundaries; effects of imperfections on mechanical properties;
interactions of dislocations with point defects; strain hardening
by
micro-obstacles, precipitation, and alloying elements. Prerequisite:
MAE 141A or consent of instructor.
273A. Dynamic Behavior of Materials (4) (Cross-listed
with MATS 213A.) Elastic waves in continuum; longitudinal and shear
waves. Surface waves. Plastic waves; shock waves, Rankine-Hugoniot relations.
Method of characteristics, differential and difference form of conservation
equations; dynamic plasticity and dynamic fracture. Shock wave reflection
and interaction. Prerequisite: consent of instructor.
280A. Linear Systems Theory (4) Linear
algebra: inner products, outer products, vector norms, matrix norms,
least squares problems, Jordan forms, coordinate transformations, positive
definite matrices, etc. Properties of linear dynamic systems described
by ODEs: observability, controllability, detectability, stabilizability,
trackability, optimality. Control systems design: state estimation,
pole assignment, linear quadratic control. Prerequisite: MAE 141A
or 143B, or consent of instructor.
280B. Linear Control Design (4) Parametrization
of all stabilizing output feedback controllers, covariance controllers,
H-infinity controllers, and L-2 to L-infinity controllers. Continuous
and discrete-time treatment. Alternating projection algorithms for solving
output feedback problems. Model reduction. All control design problems
reduced to one critical theorem in linear algebra. Prerequisite:
MAE 280A.
281A. Nonlinear Systems (4) Existence
and uniqueness of solutions of EDEs, sensitivity equations. Stability,
direct and converse Lyapunov theorems, LaSalles theorem, linearization,
invariance theorems. Center manifold theorem. Stability of perturbed
systems with vanishing and non-vanishing perturbations, input-to-state
ability, comparison method. Input-output stability. Perturbation theory
and averaging. Singular perturbations. Circle and Popov criteria. Prerequisite:
MAE 280A.
281B. Nonlinear Control (4) Small gain
theorem, passivity. Describing functions. Nonlinear controllability,
feedback linearization, input-state and input-output linearization,
zero dynamics. Stabilization, Brocketts necessary conditions (local),
control Lyapunov functions, Sontags formula (global). Integrator
back stepping, forwarding. Inverse optimality, stability margins. Disturbance
attenuation, deterministic and stochastic, nonlinear H-infinity. Nonlinear
observers. Prerequisite: MAE 281A.
282. Adaptive Control (4) Parametric
models. Parameter identifiers and algorithms, Spr-Lyapunov, gradient,
least-squares, persistence of excitation, adaptive observers. Model
reference adaptive control, certainity equivalence. Pole placement,
polynomial, LQR, indirect. Robustification, parameter drift, leakage,
projection, dead zone, dynamic normalization. Adaptive nonlinear control,
tuning functions, modular design. Extremum seeking. Prerequisites:
MAE 281A or consent of instructor.
283A. Parametric Identification: Theory and Methods (4) Constructing
dynamical models from experimental data. Deterministic and stochastic
discrete time signals. Discrete time systems. Non-parametric identification:
correlation and spectral analysis. Parametric identification: realization
and prediction error methods, least squares estimation, approximate
modeling. Experiment design. Frequency domain identification. Prerequisite:
MAE 141B or MAE 143C recommended.
283B. Approximate Identification and Control (4) Identification
for control: approximate identification, estimation of models via closed-loop
experiments. Closed-loop identification techniques. Estimation of model
uncertainty. Model invalidation techniques. Iterative techniques for
model estimation and control design. Prerequisite: MAE 283A.
284. Robust and Multi-Variable Control (4) Multivariable
feedback systems: transfer function matrices, Smith-McMillan form, poles,
zeros, principal gains, operator norms, limits on performance. Model
uncertainties, stability and performance robustness. Design of robust
controllers, H_inf and mu synthesis. Controller reduction. Prerequisite:
MAE 141B or MAE 143C, or MAE 280A.
285. Optimal Control and Estimation (4) Functional
optimization, Bellmans principle of optimality, optimal control
and the Pontriagin maximal principle, matrix maximum principle, two-point
boundary value problems, Hamiltons principle in dynamics, quadratic
costs and linear systems, LQG and optimal estimation, Stochastic processes,
case studies. Prerequisite: MAE 280A
286. Optimization and Control of Fluid-Mechanical Systems (4) Model-based
control approaches for systems governed by the Navier-Stokes equation
are presented. Topics discussed include: transition delay, stabilization
of convection, turbulence mitigation and enhancement, noise reduction,
weather forecasting, and aerodynamic shape optimization. A general mathematical
framework is developed and discussed for robust control in such systems.
Techniques for determination of effective control approaches by large-scale
simulation are discussed. Gradient-based techniques and reduced-storage
inverse-Hessein techniques (BFGS, DFP, SQP) are presented. A class project
is required. Prerequisite: consent of instructor.
287. Control of Distributed Parameter Systems (4) Strongly
continuous semigroups, infinitesimal generators, unbounded closed linear
operators, Hille-Yosida theorem, Riesz-spectral operators. Existence
and uniqueness of solutions of abstract evolution equations, pertubation
and composite systems. Boundary control systems. Controllability, exact
and approximate, Hilbert uniqueness method, fixed point method. Input-output
maps, transfer functions. Exponential stability, stabilizability, Lyapunov
equation. Controllability via stabiliability. Compensator design. Prerequisite:
MAE 280A or consent of instructor.
290A. Numerical Methods in Science and Engineering (4) A
general introductory course to numerical methods. Introduction to linear
calculus, solution of systems of linear and nonlinear algebraic equations,
the algebraic eigenvalue problem, polynomial and trigonometric function
interpolation, function differentiation and integration, function approximation.
Prerequisite: MAE 107 or consent of instructor.
290B. Numerical Methods for Differential Equations (4) Numerical
solution of differential equations in mathematical physics and engineering,
ordinary and partial differential equations. Linear and nonlinear hyperbolic
parabolic, and elliptic equations, with emphasis on prototypical cases,
the convection-diffusion equation, Laplaces and Poisson equation.
Finite difference methods will be considered in depth, and additional
topics. Prerequisite: MAE 290A or consent of instructor.
291. Design and Mechanics in Computer Technology (4) Design
and mechanics problems inherent in computer peripherals such as disk
files, tape drives, and printers. Formulation and solution of problems
involving mechanics, fluid mechanics, and materials; Reynolds equation,
slider bearings; friction and wear; actuator design, impact printing;
silicon fluid jets. Prerequisite: consent of instructor.
292. Computer-Aided Design and Analysis (4) Introduction
to 2-D and 3-D computer-aided design. Design problems may include: ball
bearing kinematics, Weibull statistics, non-repeatable spindle run-out,
four bar linkages, beam deflection and vibration, design of magnetic
head suspension, hydrodynamic theory of lubrication, air bearings, heat
transfer, optical servo, design of ink jet print head. Prerequisite:
consent of instructor.
293. Advanced Computer Graphics for Engineers and Scientists (4) Advanced
topics used to enhance scientific and engineering visualization. C programming
assignments and the use of advanced graphics software. Continuation
of topics from MAE 152, including color, computational geometry, 3-D
contouring, volume visualization, and hardware architectures. Prerequisite:
MAE 152 or consent of instructor.
294A. Methods in Applied Mechanics I (4) Solution
of linear and nonlinear ordinary differential equations: initial-valve
and boundary-valve problems, classifications of ordinary and singular
points, regular and asymptotic series solutions, phase-plane analysis,
regular and singular perturbation theory, asymptotic expansions and multiscale
analyses. Applications to the dynamics of mechanical, chemical, and biological
systems. Prerequisite: Math. 110,
Math.120A, or consent of instructor.
294B. Methods in Applied Mechanics II (4) Complex
variables, asymptotic expansions of integrals, steepest descents and
stationary phase, Fourier series and Fourier transforms, boundary-layer
theory, the WKBJ method, matched asymptotic expansions. Applications
to fluid mechanics, hydrodynamics, and gas dynamics.Prerequisite:
MAE 294A or consent of instructor.
294C. Methods in Applied Mechanics III (4) Partial
differential equations and boundary-value problems, classification
of PDE's and transform methods. Green's functions and spectral theory.
Nonlinear PDE's, variational methods and the methods of characteristics.
Nonlinear waves and shocks. Asymptotic methods for PDE's. Galerkin
methods and numerical analysis of PDE's. Applications to continuum
mechanics and transport phenomena. Prerequisite: MAE 294B or consent
of instructor.
296. Independent Study (4) Independent
reading or research on a problem as arranged by a designated faculty
member. Must be taken for a letter grade only. Prerequisite: consent
of instructor.
298. Directed Group Study (1-4) Directed
group study on a topic or in a field not included in regular department
curriculum, by special arrangement with a faculty member. Prerequisite:
consent of instructor. (S/U grades permitted.)
299. Graduate Research (1-12) (S/U grades
only.)
501. Teaching Experience (2) Teaching
experience in an appropriate MAE undergraduate course under direction
of the faculty member in charge of the course. Lecturing one hour per
week in either a problem-solving section or regular lecture. (S/U grade
only.) Prerequisites: consent of instructor and the MAE department.
MAE Courses
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