Course Description

300/400/500 | 600 | 700/800

AE 710/810. Transonic Flow. Lecture 3 hours; 3 credits. Prerequisite: AE 611. Singular surfaces under the Euler limit; transonic breakdown of linearized theory; transonic expansion procedures; transonic small disturbance theory; transonic slender bodies; similarity rules; hodograph equation; transonic far fields; relaxation schemes; unsteady transonic flows; three-dimensional wings; finite difference methods.

AE 711/811. Hypersonic Flow. Lecture 3 hours; 3 credits. Prerequisite: AE 611. General considerations of hypersonic flow and similarity principles; hypersonic flow past slender bodies with sharp and blunt leading edges. Hypersonic blunt-body flows. Real gas, viscous, and low density effects, and consideration of nonequilibrium phenomena in hypersonic flows.

AE 712/812. Unsteady Flow. Lecture 3 hours; 3 credits. Prerequisites: AE 610, 611, 612. Review of the basic laws; oscillating airfoils in incompressible, subsonic, and supersonic flows; arbitrary airfoil motion, oscillating finite wings; unsteady motion of finite wings; unsteady motion of nonlifting bodies; unsteady boundary layer flow in two-dimensional and axisymmetric flows, periodic boundary layer flows, unsteady separation; oscillating flow in a pipe, unsteady compressible boundary layers.

AE 713/813. Turbulence Modeling. Lecture 3 hours; 3 credits. Prerequisite: AE 613. Equilibrium turbulence models. Two-equations models (k-epsilon). Large-Eddy simulation. Reynold's stress transport models. Numerical simulations. Compressible and non-equilibrium turbulence effects.

AE 714/814. Flow Stability, Transition, and Control. Lecture 3 hours; 3 credits. Prerequisites: AE 612. Basic concepts of hydrodynamic stability; linear stability analysis; stability of parallel flows; Orr-Sommerfeld equations; inviscid and viscous instability; thermal instability; centrifugal instability; non-linear stability analysis; transition to turbulence, boundary layer control.

AE 715/815. Aerothermodynamics. Lecture 3 hours; 3 credits. Prerequisite: AE 611, 711. Thermal environment of high performance vehicles. Elements of supersonic combustion. Multiple temperature and relaxation models. Kinetics of chemical reactions in homogeneous and surface processes. Modifications to governing equations. Dimensionless forms and limiting cases.

AE 720/820. Computational Fluid Dynamics II. Lecture 3 hours; 3 credits. Corequisite: AE 602. Prerequisite: AE 620. Classification of systems of PDE's; mathematical nature of Euler equations; conservative form of the Navier-Stokes equations; grid generation; central difference schemes; finite volume schemes; upwind flux-vector, flux-difference, and TVD schemes; boundary conditions.

AE 721/821. Computational Fluid Dynamics Project. Laboratory 4 hours; 2 credits. Prerequisite: AE 720/820. Develop CFD codes for algebraic grid generation, inviscid flow using a central and upwind algorithm, viscous flow using an upwind-biased/central algorithm, applications to aerospace vehicles.

AE 730/830. Stability of Structures. Lecture 3 hours; 3 credits. Prerequisite: AE 601, 603, 631. Buckling of bars, plates, and shells. Energy, adjacent equilibrium, and small oscillations criteria for instability of equilibrium are applied to continuous and discrete systems. Finite element analysis and composite structures.

AE 731/831. Mechanics of Composite Structures. Lecture 3 hours; 3 credits. Prerequisite: AE 601. Stress-strain relations for a lamina; failure theories. Micro-mechanical behavior of a lamina. Constitutive relations of a laminate. Bending, buckling, and vibration of laminated plates. Approximate and finite element methods of solution.

AE 732/832. Thermal Stress Analysis. Lecture 3 hours; 3 credits. Prerequisite: AE 601. Formulation of thermoelasticity problems for elastic materials. Solution methods for two- and three-dimensional thermoelastic problems. Computational and finite element methods.

AE 733/833. Nonlinear Systems in Aerospace Engineering. Lecture 3 hours; 3 credits. Prerequisites: AE 634. Conservative and nonconservative non-linear systems. Qualitative analysis; methods of multiple scales and averaging. Super- and subharmonic resonances. Self-sustained oscillations. Parametrically excited systems; effects of nonlinearities. Multiple degree-of-freedom systems; continuous systems. Application to beams, strings and plates.

AE 734/834. Structural Vibrations II. Lecture 3 hours; 3 credits. Prerequisite: AE 634. Stationary random processes; autocorrelation and spectral density; ergodic processes and temporal statistics. Structures with single degree -of-freedom. Response of multi-degree-of-freedom and continuous systems. Estimating service life. Introduction to nonlinear vibrations of structures.

AE 740/840. Finite Element Analysis II. Lecture 3 hours; 3 credits. Prerequisite: AE 640. Application of variational methods to structural mechanics. General finite element development procedures including symbolic computations. Finite element formulations based on alternate variational principles. Applications to plate bending, buckling, and vibration. Introduction to non-linear problems.

AE 741/841. Finite Element Analysis III. Lecture 3 hours; 3 credits. Prerequisites: AE 601, 603 and 740/840. Introduction to nonlinear continuum mechanics. Nonlinear formulations and solution strategies for static and transient problems. Advanced computational procedures; introduction to multidisciplinary analysis.

AE 743/843. Experimental Modal Analysis. Lecture 2 hours; Laboratory 2 hours; 3 credits. Prerequisite: AE 641. Techniques of experimental modal analysis will be investigated including the application of Fast Fourier Transform methods to the structural dynamic measurement and mathematical modeling process, measurement and excitation methods, proper experimental procedure for collection of quality data, and development of mathematical models from experimental data. Laboratory demonstrations and student experiments will be performed using state-of-the-art equipment.

AE 750/850. Robot Analysis and Control. Lecture 3 hours; 3 credits. Prerequisite: AE 650. Kinematic and dynamic analysis of robotic servo mechanisms including drive and actuator dynamics. Introduction to non-linear control. Key state-of-the-art motion and force control techniques.

AE 760/860. Atmospheric Flight Dynamics and Control. Lecture 3 hours; 3 credits. Prerequisite: AE 403, 650. Principles governing the dynamics and control of vehicles in atmospheric flight. Equations of motion development and solution including inertia/gravitational/aerodynamic/propulsive loads, linear longitudinal and lateral-directional motions, and nonlinear trim and simulation. Flight control system design and analysis incorporating flying quality requirements, linear conventional/contemporary and frequency/time-domain techniques for control and guidance functions, validation with nonlinear simulation, gain scheduling.

AE 761/861. Space Flight Dynamics and Control. Lecture 3 hours; 3 credits. Prerequisites: AE 604, 650. Principles governing the dynamics and control of vehicles in space flight. Equations of motion development and solution including inertial/gravitational/propulsive loads, decoupled transnational and attitude motions. Orbital mechanics including elements, initial-value propagation, adjustments/transfers, Lambert boundary-value problem, perturbations, and nonlinear simulation. Attitude dynamics including torque free, gravity moment, axisymmetric/unsymmetric vehicles, and dual spinners. Flight control system design and analysis including impulsive velocities, finite burns, Lambert targeting, linear design using momentum wheels, and nonlinear phase-plane design using thrusters.

AE 770/870. Thermal Analysis of Aerospace Vehicles. Lecture 3 hours; 3 credits. Finite element formulation of heat conduction problems in aerospace structures. Development of thermal analysis techniques for extracting heat flux estimates from tunnel data. Application of boundary-layer techniques in estimating convective heat transfer for external, compressible flows. Overview of radiation heat transfer considerations.

AE 780/880. Perturbation Methods in Aerospace Engineering.Lecture 3 hours; 3 credits. Method of multiple scales, derivative expansion, two scales method, generalized method; solvability conditions, acoustic waves in ducts, vibrations of nearly circular membranes, general fourth-order P.D.E.; Methods of averaging, KB and KBM methods; canonical variables, Lagrangian and Hamiltonian, applications in vibrations and wave motion.

AE 781/881. Multidisciplinary Problems in Aerospace Engineering. Lecture 3 hours; 3 credits. Prerequisites: AE 630, 720/820, 760/860. Formulation of fluids/dynamics interaction. Initial and boundary conditions, frames of reference, moving grids, methods of solution, formulation of fluid/structure interaction, initial and boundary conditions, frame of reference, deforming grids, methods of solution; formulations of fluid/dynamics/control interaction, sequential versus simultaneous solutions; generalized interaction problems, sensitivity analysis, and optimization.

AE 782/882. Aeroelasticity. Lecture 3 hours; 3 credits. Prerequisite: AE 634. Introduction to aeroelasticity, Static and dynamic loads, energy methods eigenvalue problems, natural frequencies and modeshapes. Unsteady aerodynamics, 2-D incompressible flow, 2-D subsonic and supersonic compressible flow. Aeroelastic phenomena, divergence, control reversal, flutter, dynamic response. Aeroelastic models and testing, scaling laws, model design, testing techniques.

AE 783/883. Aeroacoustics. Lecture 3 hours; 3 credits. Prerequisite AE 611, 681. Equations of aeroacoustic wave propagation, aerodynamics sources, acoustic analogy, effects of uniform and nonuniform flow, duct acoustics, linearization, introduction to numerical simulation, boundary conditions and time-series analysis.

AE 784/884. Aerodynamic Design Optimization. Lecture 3 hours; 3 credits. Prerequisite AE 720/820 or 740/840. Review of aerodynamic analysis, surface and shape parameterization, unconstrained minimization, constraints, discrete sensitivities, control theory and variational sensitivities, stochastic search methods, inverse methods, analysis-optimization coupling, decomposition.

AE 795/895. Topics in Aerospace Engineering and Engineering Mechanics. Lecture 3 hours; 3 credits. Prerequisite: Permission of the Instructor. Special topics of interest with emphasis placed on recent developments in aerospace engineering or engineering mechanics.

AE 797/897. Independent Study in Aerospace Engineering and Engineering Mechanics. Lecture 3 hours; 3 credits. Prerequisite: Permission of the Instructor. Individual analytical, computational and/or experimental study selected by the student. Supervised and approved by the advisor.

AE 898. Dissertation Research in Aerospace Engineering and Engineering Mechanics. Credit hours: Variable 1-9. Prerequisite: Permission of the Instructor. Dissertation research in aerospace engineering or engineering mechanics.