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Graduate Study

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Admission and Registration

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Degree Requirements

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Fields of Study

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Appendix
of course abbreviations


Graduate Catalog | 2005-2007
College of Engineering

Aerospace Engineering

to courses in ASE Aerospace Engineering »
to program in Aerospace Engineering »
 

Graduate Courses

The faculty has approval to offer the following courses in the academic years 2005-2006 and 2006-2007; however, not all courses are taught on a regular basis. Students should consult the Course Schedule to determine which courses and topics will be offered during a particular semester or summer session. The Course Schedule may also reflect changes made to the course inventory after the publication of this catalog.

Unless otherwise stated below, each course meets for three lecture hours a week for one semester.

ASE | Aerospace Engineering

380P. Mathematical Analysis for Aerospace Engineers. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Analytical Methods I. Introduction to modern mathematics, real analysis of functions of one variable, linear algebra, elements of real analysis of functions of many variables, calculus of variations.

Topic 2: Analytical Methods II. Elements of complex analysis, Fourier and Laplace transforms, ordinary and partial differential equations, perturbation methods.

381P. System Theory. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Linear Systems Analysis. Linear dynamical systems; controllability and observability; stability; realization theory; state-feedback and observers.

Topic 2: Multivariable Control Systems. Multivariable feedback systems; factorizations and controller parameterization; limitations and trade-offs of feedback; robust stability and performance; robust H2 and H control methods. Additional prerequisite: Aerospace Engineering 381P (Topic 1) or the equivalent.

Topic 3: Optimal Control Theory. Necessary conditions and sufficient conditions for the parameter optimization and optimal control problems; engineering applications.

Topic 4: Numerical Methods in Optimization. Numerical methods for solving parameter optimization, suboptimal control, and optimal control problems.

Topic 6: Statistical Estimation Theory. Least squares; sequential and batch processors; optimal, linear, recursive, maximum likelihood, and minimum variance estimates; square-root filtering; filter divergence; discrete and continuous Kalman filters.

Topic 7: Advanced Topics in Estimation Theory. Estimation in the presence of unmodeled accelerations; nonlinear estimators; continuous estimation methods. Additional prerequisite: Aerospace Engineering 381P (Topic 6).

Topic 8: Stochastic Estimation and Control. Linear and nonlinear estimation theory. Kalman filters, linear quadratic Gaussian (LQG) problem. Emphasis on applications. Additional prerequisite: Electrical Engineering 351K or the equivalent.

Topic 12: Nonlinear Systems and Adaptive Control. Analysis and synthesis of nonlinear control systems. Stability theory, parameter adaptive control, system identification, design principles. Aeromechanical systems. Additional prerequisite: Aerospace Engineering 381P (Topic 1) or the equivalent.

382Q. Fluid Mechanics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Foundations of Fluid Mechanics. Fundamental equations; constitutive equations for Newtonian fluids; inviscid, incompressible potential flow; viscous flow including exact solutions and boundary layer theory; compressible flow.

Topic 7: Advanced Problems in Compressible Flow. Physics and modeling of compressible fluids; types and structure of shock waves; heat conduction and secondary viscosity effects; exact nonlinear flow models.

Topic 8: Lagrangian Methods in Computational Fluid Dynamics. Particle-based methods of computational fluid dynamics: molecular dynamics, direct simulation Monte Carlo, cellular automata, lattice Boltzmann, particle in cell, point vortex, immersed boundary.

382R. Aerodynamics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 3: Hypersonic Aerodynamics. Characteristics and assumptions of hypersonic flow; hypersonic similitude; Newtonian theory; constant density solutions.

Topic 5: Advanced Computational Methods. Development and implementation of numerical methods for solution of transport equations; computational grid generation; applications to fluid flows, including shock waves.

Topic 6: Molecular Gas Dynamics. Same as Mechanical Engineering 381Q (Topic 4: Molecular Processes). Kinetic theory, thermodynamics, statistical mechanics. Applications: equilibrium gas properties, chemical kinetics, interaction of matter with radiation, rarefied gas dynamics. Additional prerequisite: Mechanical Engineering 326 or the equivalent.

Topic 7: Optical Diagnostics for Gas Flows. Fundamentals of nonintrusive flowfield diagnostics for aerodynamics and combustion. Basics of lasers and optical detectors; interferometric methods; Rayleigh, Raman, and Mie scattering; absorption spectroscopy; laser-induced fluorescence.

384P. Structural and Solid Mechanics. Three lecture hours or two lecture hours and three laboratory hours a week for one semester, depending on the topic. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Solid Mechanics I. Same as Engineering Mechanics 388. Mathematical description of stress, deformation, and constitutive equations of solid mechanics; boundary value problems of elasticity.

Topic 2: Solid Mechanics II. Same as Engineering Mechanics 388L. Additional topics in elasticity. Additional prerequisite: Aerospace Engineering 384P (Topic 1).

Topic 3: Structural Dynamics. Same as Engineering Mechanics 384L. Free and forced vibration of single-degree-of-freedom, multiple-degree-of-freedom, and continuous systems. Lagrange's equations and Hamilton's principle; discretization of continuous systems; numerical methods for response and algebraic eigenvalue problems.

Topic 4: Finite Element Methods. Same as Computational and Applied Mathematics 394F and Engineering Mechanics 394F. Derivation and implementation of the finite element method; basic coding techniques; application to problems of stress and diffusion.

Topic 6: Advanced Structural Dynamics. Analysis of complex flexible systems; discretization of complex structures by the finite element method; advanced computational methods for large finite element models. Additional prerequisite: Aerospace Engineering 384P (Topic 3) or Engineering Mechanics 384L or the equivalent.

Topic 7: Reliability Engineering. Introduction to reliability engineering: basic concepts from statistics, the quantification of reliability and its related functions, analysis of reliability data, load-strength, interference, reliability in design and testing.

Topic 8: Selected Topics in Aeroelasticity. Classical and contemporary topics in aeroelasticity; general introduction to aeroelastic phenomena, including flutter, divergence, control reversal, and flexibility effects on stability and control; aeroelastic tailoring; active control concepts; unsteady aerodynamic theories for lifting surfaces and bodies; aeroelastic system identification, including nonlinear systems (theory and laboratory applications).

Topic 11: Mechanics of Composite Materials. Constitutive equations; micromechanical and macromechanical behavior of lamina; strength and stiffness in tension and compression, theory of laminated plates; strength of laminates; delamination.

Topic 12: Experimental Methods in Structural Dynamics. Time-series analysis; time-domain and frequency-domain techniques of structural identification; exciters and sensors. Two lecture hours and three laboratory hours a week for one semester. Additional prerequisite: Aerospace Engineering 384P (Topic 3) or Engineering Mechanics 384L.

387P. Flight Mechanics, Guidance, Navigation, and Control. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 2: Mission Analysis and Design. Mission design and mission constraints, launch windows; rendezvous analysis; orbital design interactions with thermal and structural analysis; design of a typical mission.

Topic 3: Inertial Guidance and Navigation. Review of rigid body dynamics; gyroscopic motion; accelerometers, applications to inertial guidance, error analysis; attitude control.

Topic 6: Optimal Spacecraft Trajectories. Optimal control of spacecraft; primer vector theory; impulsive maneuvers; finite burn high/low thrust maneuvers; solar sails; numerical methods; applications to contemporary trajectory problems using single or multiple spacecraft.

388P. Celestial Mechanics. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 2: Celestial Mechanics I. N-body problem; three-body problem; restricted three-body problem; Jacobian integral; zero-velocity curves; equilibrium points; stability; linearized solutions; variational equations; periodic orbits; the two-body problem; variation of parameters; Lagrange's planetary equations; applications to near-earth and deep-space trajectories; numerical methods.

Topic 3: Celestial Mechanics II. Hamiltonian mechanics; dynamical systems; canonical transformations; invariant manifolds; Poincare surfaces of section; applications to restricted n-body problems; applications to sun-earth-moon or sun-planet-moon particle trajectory problems. Additional prerequisite: Aerospace Engineering 388P (Topic 2).

389P. Satellite Applications. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Determination of Time. Concepts of time; fundamental reference system; polar motion; practical methods in time determination and dissemination; historical and present-day time scales; atomic clocks; time transfer via satellite.

Topic 2: Satellite Geodesy. Representations of planetary gravitational fields; determination of spherical harmonic coefficients; geoids and gravity anomalies; temporal variations in the geopotential; planetary rotational dynamics.

Topic 3: Advanced Topics in Satellite Geodesy. Solid earth and ocean tide models, tidal forces on satellites, surface displacements; nongravitational forces; frames of reference; and geodetic instrumentation. Additional prerequisite: Aerospace Engineering 389P (Topic 2).

Topic 7: The Global Positioning System. Comprehensive review of the theory and applications of the Global Positioning System (GPS), including the space segment, the control segment, the user segment, dilution of precision, GPS time, antispoofing, selected availability, differential/kinematic/dynamic techniques, field procedures, and GPS data collection and analysis. Applications of ground-based, aircraft-based, and satellite-based GPS receivers.

Topic 8: Satellite Control Systems. Spacecraft equations of motion; linearization and stability, classical control methods; digital and sampled data systems; multivariable control; attitude determination and control; momentum management; coupled modes; and case studies in satellite control.

Topic 9: Synthetic Aperture Radar: Principles and Applications. Synthetic Aperture Radar (SAR) imaging for Earth remote sensing, including image formation concepts and interpretation, radar interferometry processing and strategies, surface deformation, topographic mapping, and polarimetric applications.

396. Special Topics. The equivalent of three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Space Systems Design.

397. Graduate Seminar. Student, faculty, and visitor presentations of current research topics. May be repeated for credit. Offered on the credit/no credit basis only. Prerequisite: Graduate standing.

Topic 1: Orbital Mechanics Seminar.

Topic 2: Aeronautics Seminar.

Topic 3: Guidance and Control Seminar.

Topic 4: Solids, Structures, and Materials Seminar.

Topic 5: Structural Dynamics Seminar.

397K, 697K. Research. Three or six hours of research a week for one semester. May be repeated for credit. Offered on the credit/no credit basis only. Prerequisite: Graduate standing and consent of instructor.

Topic 1: Research in Experimental Mechanics.

Topic 2: Research in Fluid Mechanics.

Topic 3: Research in Guidance and Control.

Topic 4: Research in Orbital Mechanics.

Topic 5: Research in Solids, Structures, and Materials.

698. Thesis. The equivalent of three lecture hours a week for two semesters. Offered on the credit/no credit basis only. Prerequisite: For 698A, graduate standing in aerospace engineering and consent of the graduate adviser; for 698B, Aerospace Engineering 698A.

398R. Master's Report. Preparation of a report to fulfill the requirement for the master's degree under the report option. The equivalent of three lecture hours a week for one semester. Offered on the credit/no credit basis only. Prerequisite: Graduate standing in aerospace engineering and consent of the graduate adviser.

398T. Supervised Teaching in Aerospace Engineering. Teaching methods and objectives, criteria for evaluating teaching effectiveness, procedural rules and regulations, laboratory teaching. Offered on the credit/no credit basis only. Prerequisite: Graduate standing and appointment as a teaching assistant.

399R, 699R, 999R. Dissertation. Offered on the credit/no credit basis only. Prerequisite: Admission to candidacy for the doctoral degree.

399W, 699W, 999W. Dissertation. Offered on the credit/no credit basis only. Prerequisite: Aerospace Engineering 399R, 699R, or 999R.

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Graduate Catalog | 2005-2007 Aerospace Engineering program | courses

Fields of Study

    Office of the Registrar     University of Texas at Austin copyright 2005
    Official Publications 16 Aug 2005