**MAE 402 Introduction to Continuum Mechanics. **(3) A

Application of the principles of continuum mechanics to such fields as flow in porous media, biomechanics, electromagnetic continua, and magneto-fluid mechanics. Prerequisites: ECE 313; MAE 361 or 371; MAT 242 or 342.

**MAE 404 Finite Elements in Engineering. **(3) A

Introduction to ideas and methodology of finite element analysis. Applications to solid mechanics, heat transfer, fluid mechanics, and vibrations. Prerequisites: ECE 313; MAT 242 or 342.

**MAE 406 CAD/CAM Applications in MAE. **(3) A

Solution of engineering problems with the aid of state-of-the-art software tools in solid modeling, engineering analysis, and manufacturing; selection of modeling parameters; reliability tests on software. Prerequisite: instructor approval.

**MAE 417 Control System Design. **(3) A

Tools and methods of control system design and compensation, including simulation, response optimization, frequency domain techniques, state variable feedback, and sensitivity analysis. Introduction to nonlinear and discrete time systems. Prerequisite: MAE 317.

**MAE 430 Introduction to Nuclear Engineering. **(3) A

Neutron interactions with matter. Principles of neutron chain reacting systems. Neutron diffusion and moderation. Heat removal from nuclear reactors. Point reactor kinetics. Prerequisite: PHY 361.

**MAE 434 Internal Combustion Engines. **(3) A

Performance characteristics, combustion, carburetion and fuel-injection, and the cooling and control of internal combustion engines. Computer modeling. Lab. Prerequisite: MAE 388.

**MAE 435 Turbomachinery. **(3) A

Design and performance of turbomachines, including steam, gas and hydraulic turbines, centrifugal pumps, compressors, fans, and blowers. Pre- or corequisite: MAE 361 or 371.

**MAE 436 Combustion. **(3) A

Thermochemical and reaction rate processes; combustion of gaseous and condensed-phase fuels. Applications to propulsion and heating systems. Pollutant formation. Prerequisite: MAE 388.

**MAE 437 Direct Energy Conversion. **(3) N

Unconventional methods of energy conversion; fuel cells, thermoelectrics, thermionics, photovoltaics, and magnetohydrodynamics. Prerequisites: ECE 340, 350.

**MAE 438 Solar Energy. **(3) A

Solar radiation and instrumentation, design and testing of collectors, performance analyses of systems, thermal storage, photovoltaics, materials, and economic analysis. Prerequisite: MAE 388.

**MAE 447 Robotics and Its Influence on Design. **(3) A

Robot applications, configurations, singular positions, and work space; modes of control; vision; programming exercises; design of parts for assembly. Prerequisite: MAE 317.
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**MAE 455 Polymers and Composites. **(3) F

Relationship between chemistry, structure, and properties of engineering polymers. Design, properties, and behavior of fiber composite systems. Cross-listed as MSE 470. Prerequisite: ECE 350.

**MAE 462 Advanced Dynamics and Control of Aerospace Vehicles. **(3) A

Spacecraft attitude dynamics and control. Aircraft lateral-directional motion and stability derivatives, aircraft control systems. Lecture, design projects. Prerequisites: MAE 317, 413.

**MAE 463 Propulsion. **(3) F, S

Fundamentals of gas-turbine engines and design of components. Principles and design of rocket propulsion and alternative devices. Lecture, design projects. Pre- or corequisite: MAE 361 or 371.

**MAE 465 Rocket Propulsion. **(3) A

*Effective through fall 1996.*

Rocket flight performance; nozzle design; combustion of liquid and solid propellants; component design; advanced propulsion systems; interplanetary missions; testing. Prerequisite: MAE 460.

**MAE 465 Rocket Propulsion. **(3) A

*Effective starting spring 1997.*

Rocket flight performance; nozzle design; combustion of liquid and solid propellants; component design; advanced propulsion systems; interplanetary missions; testing. Prerequisite: MAE 361 or 371.

**MAE 466 Rotary Wing Aerodynamics and Performance. **(3) A

Introduction to helicopter and propeller analysis techniques. Momentum, blade-element, and vortex methods. Hover and forward flight. Ground effect, autorotation, and compressibility effects. Prerequisites: ECE 386; MAE 361 or instructor approval.

**MAE 467 Aircraft Performance. **(3) A

Integration of aerodynamic and propulsive forces into aircraft performance design. Estimation of drag parameters for design. Engine, airfoil selection. Conceptual design methodology. Lecture, design projects. Prerequisite: MAE 361 or 371. Pre- or corequisite: MAE 441.

**MAE 471 Computational Fluid Dynamics. **(3) A

Numerical solutions for selected problems in fluid mechanics. Prerequisites: ECE 384; MAE 361 or 371.

**MAE 504 Laser Diagnostics. **(3) S

Fundamentals of optics and the interaction of light with matter. Laser sources, laser spectroscopy, velocimetry, particle sizing, and surface characterization.

**MAE 505 Perturbation Methods in Mechanics. **(3) N

Nonlinear oscillations, strained coordinates, renormalization, multiple scales, boundary layers, matched asymptotic expansions, turning point problems, and WKBJ method.

**MAE 506 Advanced System Modeling, Dynamics, and Control. **(3) S

Lumped-parameter modeling of physical systems with examples. State variable representations and dynamic response. Introduction to modern control. Prerequisite: ASE 582 or MAT 442.

**MAE 507 Optimal Control Theory and Application. **(3) F

Optimal control of physical systems. Calculus of variations, Pontryagin's principle, minimum time/fuel problems, linear quadratic regulator, and numerical methods. Prerequisite: MAE 506.

**MAE 509 Robust Multivariable Control. **(3) S

Characterization of uncertainty in feedback systems, robustness analysis, synthesis techniques, multivariable Nyquist criteria, computer-aided analysis and design. Prerequisites: MAE 417, 506.

**MAE 510 Dynamics and Vibrations. **(3) F

Lagrange's and Hamilton's equations, rigid body dynamics, gyroscopic motion, and small oscillation theory.

**MAE 511 Acoustics. **(3) F

Principles underlying the generation, transmission, and reception of acoustic waves. Applications to noise control, architectural acoustics, random vibrations, and acoustic fatigue.

**MAE 512 Random Vibrations. **(3) S

Review of probability theory, random processes, stationarity, power spectrum, white noise process, random response of single and multiple DOF systems, and Markov processes simulation. Prerequisite: MAE 510 or instructor approval.

**MAE 515 Structural Dynamics. **(3) S

Free vibration and forced response of discrete and continuous systems, exact and approximate methods of solution, finite element modeling, and computational techniques. Prerequisite: MAE 510 or instructor approval.

**MAE 517 Nonlinear Oscillations. **(3) F

Existence, stability, and bifurcation of solutions of nonlinear dynamical systems. Methods of analysis of regular and chaotic responses. Prerequisite: MAE 510 or instructor approval.

**MAE 518 Dynamics of Rotor-Bearing Systems. **(3) S

Natural whirl frequency, critical speed, and response analysis of rigid and flexible rotor systems. Bearing influence and representation. Stability analysis. Methods of balancing.

**MAE 520 Solid Mechanics. **(3) F

Introduction to tensors: kinematics, kinetics, and constitutive assumptions leading to elastic, plastic, and viscoelastic behavior. Applications.

**MAE 522 Variational Principles of Mechanics. **(3) S

Virtual work, stationary, and complementary potential energies. Hamilton's principle. Application of these and direct methods to vibrations, elasticity, and stability. Prerequisite: MAE 520 or equivalent.

**MAE 523 Theory of Plates and Shells. **(3) F

Linear and nonlinear theories of plates. Membrane and bending theories of shells. Shells of revolution. Prerequisite: MAE 520.

**MAE 524 Theory of Elasticity. **(3) S

Formulation and solution of 2- and 3-dimensional boundary value problems. Prerequisite: MAE 520.

**MAE 527 Finite Element Methods in Engineering Science. **(3) F

Discretization, interpolation, elemental matrices, assembly, and computer implementation. Application to solid and fluid mechanics, heat transfer, and time dependent problems. Prerequisite: ASE 582.

**MAE 536 Combustion. **(3) N

Thermodynamics; chemical kinetics of combustion. Explosion and ignition theories. Reactive gas dynamics. Structure, propagation, and stability of flames. Experimental methods. Prerequisite: MAE 436 or instructor approval.

**MAE 540 Advances in Engineering Design Theory.** (3) F

Survey of research in engineering design process, artifact and design, knowledge, formal and informal logic, heuristic and numerical searches, theory of structure and complexity. Prerequisite: graduate standing.

**MAE 541 CAD Tools for Engineers. **(3) F

Elements of computer techniques required to develop CAD software. Data structures, including lists, trees, and graphs. Computer graphics, including 2- and 3-dimensional algorithms and user interface techniques.

**MAE 542 Geometric Modeling in CAD/CAM. **(3) S

Geometric and solid modeling, curve and surface design, CAD database architectures, and integration of solid modeling into engineering processes. Prerequisite: MAE 541 or instructor approval.

**MAE 544 Mechanical Design and Failure Prevention. **(3) F

Modes of mechanical failure; application of principles of elasticity and plasticity in multiaxial state of stress to design synthesis; failure theories; fatigue; creep; impact. Prerequisite: MAE 443.

**MAE 546 CAD/CAM Applications in MAE. **(3) F

Solution of engineering problems with the aid of state-of-the-art software tools in solid modeling, engineering analysis, and manufacturing; selection of modeling parameters; reliability tests on software. Open only to students without previous credit for MAE 406 or with instructor approval.

**MAE 547 Mechanical Design and Control of Robots. **(3) N

Homogeneous transformations, 3-dimensional kinematics, geometry of motion, forward and inverse kinematics, workspace and motion trajectories, dynamics, control, and static forces.

**MAE 548 Mechanism Synthesis and Analysis. **(3) S

Algebraic and graphical methods for exact and approximate synthesis of cam, gear, and linkage mechanisms; design optimization; methods of planar motion analysis; characteristics of plane motion; spatial kinematics.

**MAE 557 Mechanics of Composite Materials. **(3) S

Analysis of composite materials and applications. Micromechanical and macromechanical behavior. Classical lamination theory developed with investigation of bending-extension coupling.

**MAE 560 Propulsion Systems. **(3) N

Design of air-breathing gas turbine engines for aircraft propulsion; mission analysis; cycle analysis; engine sizing; component design.

**MAE 561 Computational Fluid Dynamics. **(3) S

Finite-difference and finite-volume techniques for solving the subsonic, transonic, and supersonic flow equations. The method of characteristics. Numerical grid-generation techniques. Prerequisite: MAE 571 or instructor approval.

**MAE 563 Unsteady Aerodynamics. **(3) S

Unsteady incompressible and compressible flow. Wings and bodies in oscillatory and transient motions. Kernel function approach and panel methods. Aeroelastic applications. Prerequisites: MAE 460 (or 461), 562.

**MAE 564 Advanced Aerodynamics. **(3) F

Perturbation method. Linearized subsonic and supersonic flows. Thin wing/slender body theories. Lifting surface theory. Panel method computation. Prerequisite: MAE 460 or 461.

**MAE 565 Turbomachinery. **(3) N

Design and performance of turbomachines, including turbines, compressors, pumps, fans, and blowers.

**MAE 566 Rotary-Wing Aerodynamics. **(3) F

Introduction to helicopter and propeller analysis techniques. Momentum, blade-element, and vortex methods. Hover and forward flight. Ground effect, autorotation, and compressibility effects. Prerequisite: MAE 361.

**MAE 571 Fluid Mechanics. **(3) F

Basic kinematic, dynamic, and thermodynamic equations of the fluid continuum and their application to basic fluid models.

**MAE 572 Inviscid Fluid Flow. **(3) S

Mechanics of fluids for flows in which the effects of viscosity may be ignored. Potential flow theory, waves, and inviscid compressible flows. Prerequisite: MAE 571.

**MAE 573 Viscous Fluid Flow. **(3) F

Mechanics of fluids for flows in which the effects of viscosity are significant. Exact and approximate solutions of the Navier-Stokes system, laminar flow at low and high Reynolds number. Prerequisite: MAE 571.

**MAE 575 Turbulent Shear Flows. **(3) F

Homogeneous, isotropic, and wall turbulence. Experimental results. Introduction to turbulent-flow calculations. Prerequisite: MAE 571.

**MAE 577 Turbulent Flow Modeling. **(3) S

Reynolds equations and their closure. Modeling of simple and complex turbulent flows, calculations of internal and external flows, and application to engineering problems. Prerequisite: MAE 571.

**MAE 581 Thermodynamics. **(3) F

Basic concepts and laws of classical equilibrium thermodynamics. Applications to engineering systems.

**MAE 582 Statistical Thermodynamics. **(3) N

Kinetic and quantum theory. Statistical mechanics; ensemble theory. Structure and thermodynamics of non-interacting and interacting particles. Boltzmann integro-differential equation. Cross-listed as MSE 531. Prerequisite: MAE 581.

**MAE 585 Conduction Heat Transfer. **(3) F

Basic equations and concepts of conduction heat transfer. Mathematical formulation and solution (analytical and numerical) of steady and unsteady, one- and multidimensional heat conduction and phase change problems. Prerequisites: ECE 386; MAE 388.

**MAE 586 Convection Heat Transfer. **(3) S

Basic concepts and governing equations. Analysis of laminar and turbulent heat transfer for internal and external flows. Natural and mixed convection. Prerequisite: MAE 388.

**MAE 587 Radiation Heat Transfer. **(3) F

Advanced concepts and solution methodologies for radiation heat transfer, including exchange of thermal radiation between surfaces, radiation in absorbing, emitting, and scattering media and radiation combined with conduction and convection. Prerequisite: MAE 388.

**MAE 588 Two-Phase Flows and Boiling Heat Transfer. **(3) S

Pool and flow boiling heat transfer, condensation heat transfer, various models of vapor-liquid mixture flows, gas-solid mixture flows, and experimental measurement techniques.

**MAE 589 Heat Transfer. **(3) F

Basic concepts; physical and mathematical models for heat transfer. Applications to conductive, convective, radiative, and combined mode heat transfer. Prerequisite: MAE 388.

**MAE 594 Graduate Research Conference. **(1) F, S

Topics in contemporary research. Required every semester of all departmental graduate students registered for 9 or more semester hours. Not for degree credit.

**MAE 598 Special Topics. **(1–3) F, S

Special topics courses, including the following, which are regularly offered, are open to qualified students:

(a) | Boundary Layer Stability |

(b) | Polymers and Composites |

(c) | Hydrodynamic Stability |

(d) | Advanced Spacecraft Control |

(e) | Plasticity |

(f) | Aeroelasticity |

(g) | Aerospace Vehicle Guidance and Control |

**Omnibus Graduate Courses:** See omnibus graduate courses that may be offered.

*1996–98 Graduate Catalog * Table of Contents

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