Aerospace Engineering (AE)
AE 502 Strength and Fatigue of Materials 3 Credits (3,0)
Analysis of stress and deformation in rods, beams, plates, shells, and solids using the elementary theories of elasticity and plasticity. Theories of strength, impact fatigue, and creep. Computer methods and applications.
AE 504 Advanced Compressible Flow 3 Credits (3,0)
Classification and solution of compressible flow problems, basic conservation laws, and fundamental theorems of compressible flows. Wave phenomena; normal and oblique shocks. Method of characteristics and wave interactions. Perturbation theories and similarity rules. Linearized supersonic flow, axisymmetric flow wing theory, and wave drag. Nonlinear theories of transonic and supersonic flows.
AE 505 Spacecraft Dynamics and Control 3 Credits (3,0)
Review of dynamic systems modeling and analysis; classical and modern linear and nonlinear control techniques; orbital dynamics, orbital maneuvers and control. Attitude sensors and sensing techniques. Passive attitude control techniques including spin, dual-spin, gravity-gradient, and magnetic stabilization. Active control using gas jet thrusters, momentum wheels, reaction wheels, and control moment gyros. Application of optimal control techniques to spacecraft maneuver problems; design of open loop and feedback controls for linear and nonlinear spacecraft dynamical systems; case studies.
AE 506 Airplane Dynamic Stability 3 Credits (3,0)
Small-disturbance theory and linearized solutions of the general equations of motions. Aerodynamic derivatives, derivative analysis, aerodynamic transfer functions. Dynamic stability of uncontrolled longitudinal and lateral motions. Computer solution of dynamic stability problems. Inverse problems. Automatic stability and control. An introduction to automatic flight controls and feedback control system analysis.
AE 507 Design, Build and Test 3 Credits (3,0)
Introduction to the complete design cycle from idea conception through implementation and testing. Design, build and test an experiment/system. Exposure to design, building and testing tools and practices. Undergo critical design review process, background search, and periodic status reports. Final comprehensive report and presentation documenting entire design process.
AE 508 Intermediate Heat Transfer 3 Credits (3,0)
Analytical and Numerical Methods in conduction, convection, radiation, and combined-mode heat transfer. One-, two-, and three- dimensional problems. Steady state and transient solutions. Boundary conditions. Energy balances.
AE 510 Aircraft Structural Dynamics 3 Credits (3,0)
Vibrations of deformable elastic structures using the assumed modes method. Analysis of a continuous system for specialized cases. Undamped and damped free and forced vibration of single-degree-of-freedom and multiple-degree-of-freedom system. Computer programming skills are necessary.
AE 511 Engineering Materials Selection 3 Credits (3,0)
Introduction to mechanical behavior of common aerospace materials as it relates to structural performance. Methods for strengthening and toughening of metals, ceramics and composites. Materials selection basics using functions, constraints, objectives. Ashby materials property charts. Materials selection with multiple constraints and conflicting objectives and shape factors. Designing hybrid materials and composites. Case studies from general and aerospace engineering. Course project.
AE 512 Combustion I 3 Credits (3,0)
Equilibrium and kinetics of combustion processes. Law of mass action, Arrhenius reaction rate law, heat of reaction, and adiabatic flame temperature. Conservation equations of reacting flows. Applications of conservation equations.
AE 514 Introduction to the Finite Element Method 3 Credits (3,0)
Basic equations of the theory of elasticity. Energy principles. Formulation and assembly of stiffness matrices and load vectors for elastic solids. Modeling considerations. Solution methods Computer implementation of finite element and stress analysis procedures. Interpretation of computer solutions. Design applications.
AE 516 Computational Aeronautical Fluid Dynamics 3 Credits (3,0)
Potential flow theory. Panel methods. Applications of numerical methods and the digital computer to inviscid flow analysis. Lifting line, vortex lattice fundamentals. Use of computer codes. Pre-Requisite: Graduate Standing
Prerequisites: Graduate standing.
AE 520 Perturbation Methods in Engineering 3 Credits (3,0)
Investigation of gauge functions, asymptotic expansions, and singular perturbation problems. Use is made of the method of straining parameters and method of multiple scales along with the evaluation of self-excited systems. The Duffing equation. The Mathieu equation. Boundary-layer problems and gyroscopic problems are reviewed.
AE 521 Viscous Flow 3 Credits (3,0)
Navier-Stokes equations for laminar and turbulent flows. Boundary layers. Jets, wakes, elementary turbulence modeling. Skin friction, separation, drag, and aerodynamic heating. Approximate and exact finite-difference solutions including the effect of suction and blowing. Solutions of turbulent boundary layer equations.
AE 522 Analysis of Aircraft Composite Materials 3 Credits (3,0)
Fiber materials, tapes cloths, resin systems. Theory of elastic anisotropic materials. Elastic constants for multi-ply composites. Matrix formulation. Computer analysis. Strength and theory of failure. Sources and use of experimental data. Design considerations.
Prerequisites: AE 409.
AE 523 Modeling and Simulation of Linear Dynamic Systems 3 Credits (3,0)
The purpose of this course is to provide graduate students with fundamental modeling skills for creating mathematical models of multi-domain engineering systems which can be simulated on computer for system performance analysis and control system design. This course will cover modeling, analysis, and simulation of dynamic systems. A variety of tools will be introduced including transfer functions, state space equations, block diagrams, and bond graphs. Analysis techniques including vector analysis, matrix theory including vector and matrix norms, eigenvectors and eigenvalues, matrices as operators, and the solution of systems of linear equations are introduced. Additional topics include linearization of dynamic systems, input-output description of systems, and analysis of observability, controllability and stability. The application examples range from electrical circuits, to fluid, thermal systems and electro-mechanical systems, to aircraft and spacecraft. Concepts from discrete time systems are also introduced. A background in linear algebra is recommended.
Prerequisites: AE 432 or AE 434.
AE 524 Rocket Engine Propulsion Systems 3 Credits (3,0)
Analysis of combustion and expansion processes. Thrust nozzle performance analysis and design techniques. Characteristics of liquid propellants and liquid propellant rocket motors. Characteristics of solid propellants and interior ballistics of solid propellant rocket motors. Cooling techniques. Thrust vector control methods.
Corequisites: AE 504.
AE 525 Structural Design Optimization 3 Credits (3,0)
Review of numerical optimization techniques. Structural applications of linear and discrete methods, approximation techniques and sensitivity analysis, shape and topology optimization.Optimality criteria methods. Applications to trusses, frames and composite laminates. Optimization simulations using computer graphics software. Emphasis on modern optimization techniques linked to numerical methods of structural analysis (finite element method} through a structural design course project.
AE 526 Engineering Optimization 3 Credits (3,0)
Numerical optimization methods are presented and applied to the solution of engineering problems. Constrained problems and Kuhn-Tucker conditions. Optimization model construction. Sequential unconstrained optimization. Direct methods for constrained problems. Structural optimization. Genetic algorithms and the method of simulated annealing and their applications in research and engineering problems. Case studies in mechanical and aerospace engineering.
AE 527 Modern Control Systems 3 Credits (3,0)
This course covers modern control theory using continuous time state-space system models and implementations. State space representation is introduced and controllability, observability, and stability are reviewed. Control structures such as PID and state feedback controllers are introduced and applications are discussed. Continuous to discrete time conversions are discussed and the z-transform is introduced. Advanced topics such as model predictive control, adaptive control, robust control, and Kalman filters may be introduced at the instructor?s discretion. A background in classical controls and modeling of dynamic systems is recommended.
AE 528 Advanced Incompressible Aerodynamics 3 Credits (3,0)
Kinematics and dynamics, thin airfoil theory, finite wing theory, bluff body flow, the Panel Method, numerical techniques, unsteady loads, vortex flows.
AE 532 Failure Analysis of Materials 3 Credits (3,0)
Study of the different failure mechanisms for metals and alloys, ceramics, polymers and composites. Overview of non-destructive testing methods, fractography and metallurgy with microscopy (optical and electron), including capabilities and limitations. future analysis investigation techniques. Emphasis on case study examples, project and use of microscopes.
Prerequisites: AE 316.
AE 534 Smart Materials in Engineering 3 Credits (3,0)
This course covers the general area of smart materials used for aerospace structures. Current research in material development, diverse applications, design, modeling, and control are introduced to learn their potentials and challenges as smart actuators and sensors. Various types of smart materials are discussed including piezoelectric, active fiber composites, electrostrictive, magnetostrictive, electroactive polymers, shape memory alloys, electro and magnetorheological fluids, and optical fibers. Prerequisites: Graduate standing.
AE 536 Rotorcraft Aerodynamics 3 Credits (3,0)
Introduction to Vertical Take-Off and Landing (VTOL) concepts and configurations. Rotor kinematics. Momentum and blade element theory. Rotor wakes and noise. Airfoil design for rotorcraft. Introduction to CFD techniques, rotorcraft performance, and design.
AE 538 Theory of Elasticity 3 Credits (3,0)
Theory of elasticity is a branch of continuum mechanics. This course covers the following topics: linear stress and strain analysis (constitutive equations, boundary conditions, compatibility equations, plane stress and strain problems); Airy stress function method; two-dimensional problems in various coordinate systems; thermal stress in plates and thick-wall cylinders; stress and strain analysis of three-dimensional problems; torsion of prismatic bars, introduction to theory of plasticity.
AE 540 Structural Health Monitoring 3 Credits (3,0)
General introduction of structural health monitoring and nondestructive evaluation techniques of mechanical and aerospace structural components. Passive and active damage analysis through intelligent actuation and sensing systems. Damage detection, diagnosis, and prognosis are discussed utilizing signal processing techniques and physics based approaches.
AE 542 Mechanics of Structures: Variational and Computational Methods 3 Credits (3,0)
A study of the energy and variational principles in applied mechanics using fundamental theorems from variational calculus and solid mechanics. Derivation of equations of mechanics from energy and variational principles (i.e. virtual work principles). Approximate solution to problems in structural mechanics, such as bars, beams, plates, and composite laminates by use of variational method.
AE 544 Analytical Dynamics 3 Credits (3,0)
Relevant rigid body kinematics and dynamics for aircraft and spacecraft, providing the foundation for advanced dynamics and controls courses as well as research on dynamics and control of vehicle systems.Particle motion, Newtons Laws, rigid body dynamics, methods of analytical dynamics, and application to spacecraft orbital mechanics and aircraft performance; Rigorous modeling of rotational and translational motion of rigid and lightly flexible bodies.
AE 546 Nonlinear Systems Analysis 3 Credits (3,0)
This is an introductory course on nonlinear stability analysis.The topics covered are Review of Linear Systems Theory, Introduction to Discrete Time Systems, Metric Spaces and Contraction Mappings, Convergence and Stability, Continuous Time System Solution Behavior, LaSalle's Invariance Principle, Nonautonomous Systems, Barbalat's Lemma; Applications in Autonomous Systems.
AE 548 Introduction to Continuum Mechanics 3 Credits (3,0)
Analysis of stress and deformation at a point. Derivation of the basic equations of a continuous medium by applying the laws of conservation of mass, linear momentum, moment of momentum, and those of thermodynamics. Study of constitutive axioms and constitutive relations for fluids and solids. Specialization of the field equations to simple boundary-value problems of solid mechanics and fluid mechanics with solutions.
AE 550 Thermodynamics: Classic and Modern Perspectives 3 Credits (3,0)
Develop classical thermodynamics from a set of postulates to develop macroscopic thermodynamics and thermodynamic properties. Kinetic theory will be covered to develop classical thermodynamic relations using Maxwells velocity distribution. Introduction to chemical thermodynamics, equilibrium and kinetics. Develop modern thermodynamics from a microscopic perspective using quantum mechanics and statistical mechanics.Develop the tools needed to analyze very high temperature flows such as hypersonic applications.
AE 590 Graduate Seminar 1-3 Credit
A study of the most current advancements in a particular field of study as determined by the instructor of the course. The course will have a different topic each term depending on the varied interests of the students, the graduate faculty, or the research requirements of the Aerospace Engineering department.
AE 596 Graduate Internship in Aerospace Engineering 1-3 Credit
Temporary professional or industrial work appointments made available to students enrolled in graduate programs at the University. An internship provides graduate students with an opportunity to extend their academic endeavors through the application of the theories and philosophies studied in the classroom to specific professional activities common to the workplace. They are academic/professional activities coordinated by the University between offering organizations and the graduate student.
AE 599 Special Topics in Aerospace Engineering 1-6 Credit
Individual independent or directed studies of selected topics in aerospace engineering.
AE 606 Finite Element Aerospace Applications 3 Credits (3,0)
Development of finite element representation of continuum using Galerkin and variational techniques. Boundary elements. Applications to statics and dynamics of solids, structures, fluids, and heat flow. Includes the use of finite element codes.
AE 610 Advanced Computational Fluid Dynamics 3 Credits (3,0)
Application of vortex lattice, panel element, and boundary element methods to incompressible and compressible three-dimensional aerodynamics flow problems. Wing and wing-body analysis. Incorporation of boundary integration for more complete modeling.
AE 612 Analysis of Aircraft Plate and Shell Structures 3 Credits (3,0)
Bending and buckling of plates. Cylindrical bending. Boundary value problems. Axisymmetric problems. Deformation of shells. Energy principles. Stress and stability analysis. Approximate methods. Finite element methods. Computer applications.
AE 616 Advanced Aircraft Structural Dynamics 3 Credits (3,0)
Analysis of structures subjected to dynamic loads. Hamiltons principle and Lagranges equations. Rayleighs principle. Numerical evaluation of natural frequencies and modes. Mode superposition and direct integration methods for dynamic response. Finite element modeling. Component mode synthesis. Computer applications.
AE 618 Aeroelasticity 3 Credits (3,0)
This course focuses on fundamentals of aeroelasticity; the interaction between elastic, inertial, and aerodynamic forces with emphasis on aeronautical applications. It presents the theoretical and computational foundations of structural dynamics, aerodynamics, static and dynamic aeroelasticity, and studies the related performance issues such as flutter, control effectiveness, and divergence.
Prerequisites: AE 510.
AE 623 Atmospheric Navigation, Guidance and Control 3 Credits (3,0)
This course will focus on the theory and application of automatic flight controls. During the course, the student will be exposed to the academics required to perform guidance, navigation and control of a small autonomous aircraft. This will include sections of Kalman Filtering, LQ control laws, data acquisition and state determination, control laws and an introduction to fault tolerant controls. In addition, there is a lab component that will have student exercise theory to the application of a real UAV built in teams.
Prerequisites: AE 506.
AE 625 Hypersonic Aerospace Propulsive Flows 3 Credits (3,0)
This course deals with the aerodynamic and propulsive flows associated with hypersonic vehicles. Lecture topics include hypersonic inviscid flow approximations, viscous effects, high-temperature chemical and thermodynamic effects, rocket plumes, scramjets, experimental facilities, best practices in numerical simulation. Projects will emphasize approximate use of analytical approximations and computational fluid dynamic simulation.
AE 626 Aircraft Fault Tolerance and Advanced Control Theory 3 Credits (3,0)
This course explores concepts for the analysis of causes and dynamic effects of fixed wing abnormal flight conditions along with the design of fault tolerant flight control techniques to compensate them. Topics discussed includes modeling and simulation of upset conditions; linear and non-linear adaptive control techniques; failure detection, identification and evaluation; and flight envelope estimation. Pre-requisites by topics: Mathematical modeling of dynamic systems; background in control theory; flight dynamics; experience with Matlab and Simulink.
AE 627 Adaptive Control of Aerospace Structures 3 Credits (3,0)
Considerations of the dynamic behavior of mechanically flexible aerospace structures in both air and space vehicles. Experimentation, both air and space based, and large-scale simulation to understand and control these structures. Online capabilities to control aerospace structures. This course introduces the fundamental ideas of adaptive systems and develops a foundation from which to assess the voluminous literature. Special emphasis on approaches most amenable to flexible aerospace structure control.
AE 629 Robust Control Systems 3 Credits (3,0)
This is an advanced course on multivariable feedback control. The topics covered are: multivariable frequency response analysis; relative gain array (RGA) and its interpretation; multiple-input multiple output (MIMO) robustness; formulation of the general control problem; control of multivariable plants. The topics of robust stability and performance analysis for MIMO systems are covered are also covered. H-2 and H-infinity control designs are employed to illustrate the application of the theory. Last but not least model and controller reduction are introduced and applied to practical examples.
Prerequisites: AE 523.
AE 631 Aeroacoustics 3 Credits (3,0)
Sound and wave characteristics, levels and directives, hearing and physiological effects of noise, noise control criteria and regulations, instrumentation, acoustic materials and structures, aircraft components, acoustic analogy, computational aeroacoustics.
AE 633 Optimal Control 3 Credits (3,0)
This course studies basic optimization methods and the fundamental principles of optimal control. Deterministic and stochastic problems are considered for both continuous and discrete-time systems with state and control constraints. The course will cover various solution methods such as numerical search algorithms, dynamic programming, calculus of variations, applications of Pontryagins maximum principle, and model predictive control. The optimal control methods covered in the course will be applied to various aerospace, mechanical, and electrical systems.
AE 635 Flow Stability and Control 3 Credits (3,0)
Scope of flow instabilities. Kelvin-Helmholtz instability, Tollmien-Schlichting Waves, Rayleigh-Taylor Instability, other flow instability. Actuators & Sensors. Passive and Active control methods. Numerical Simulations. Control of boundary layers and free shear flows
Prerequisites: AE 521.
AE 640 Turbine Engine Propulsion Systems 3 Credits (3,0)
Advanced theory of turbojet, multispool fan jet, variable cycle engines, and bypass air-breathing propulsion systems. Design and off-design performance analysis, theory and design of inlets, compressors, burners, and turbines. Component matching, cooling, regenerative systems, test methods, and corrections. Engine post-stall behavior.
AE 646 Nonlinear Dynamical Systems and Chaos 3 Credits (3,0)
Mathematical and experimental methods for the study of bifurcation and chaos in dynamical systems are described. Systems described by difference equations. Bifurcations of equilibrium points. Systems described by ordinary differential equations. Phase plane analysis. Limit cycles, nonlinear oscillations, and chaotic vibrations. Chaotic transitions, period doubling, and intermittency. Examples of chaos in mechanical, electrical, magnetic, fluid, chemical, and biological systems.
AE 648 Thermal Stresses in Aerospace Engineering 3 Credits (3,0)
Basic equations of thermoelasticity. Thermal structures problems; rods, beams, and plates. Thermally induced vibration. Thermal buckling. Thermoviscoplasticity.
AE 652 Turbulent Flows 3 Credits (3,0)
Stability of laminar analysis and elements of spectral methods used in the numerical prediction of flow stability, transition, and turbulence. Amplification of unstable modes and transition to turbulence. The statistical description of turbulent flows and the Reynolds decomposition. The Reynolds equations applied to simple free shear flows, such as jet mixing layer and wake. Scales of turbulent motion the energy cascade and the Kolmogorov theory. Wall bounded flows such as boundary layer. Direct numerical simulation (DNS) of turbulent flows. Large eddy simulation (LES) of turbulent flows. Simulation of turbulent flows using the Reynolds averaged Navier- Stokes (RANS) equations and turbulence models. Transition modeling for RANS simulations.
AE 699 Special Topics in Aerospace Engineering 1-6 Credit
Guided independent study of selected topics not offered in regularly scheduled classes. Arrangements and work requirements established by prior agreement of instructor and students. Students should expect to spend at least 60 hours of research for each credit hour.
AE 700 Thesis 1-9 Credit
A master-level research project in Aerospace Engineering conducted under the supervision of the student?s advisor and thesis committee. Submission of a final report, approved by the thesis committee, and an oral defense of the research work are required for thesis credits to be earned.
AE 800 Dissertation 1-9 Credit
A doctoral-level research in Aerospace Engineering including an oral defense and a written dissertation satisfying all doctoral degree program guidelines. The work is supervised by the student's advisor and dissertation committee. The approval of the dissertation committee is required to receive final dissertation credit.