Courses

AE 591. GRADUATE SEMINAR

Seminars on current issues related to various areas of aerospace engineering are presented by authorities in their fields. All full-time aerospace engineering students are required to register and attend.

AE 593. SPECIAL TOPICS

Arranged by individual faculty with special expertise, these courses survey fundamentals in areas that are not covered by the regular aerospace engineering course offerings. Exact course descriptions are disseminated by the Aerospace Engineering Program well in advance of the offering. (Prerequisite: Consent of instructor.)

AE 693. ADVANCED SPECIAL TOPICS

Arranged by individual faculty with special expertise, these courses cover advanced topics that are not covered by the regular aerospace engineering course offerings. Exact course descriptions are disseminated by the Aerospace Engineering Program well in advance of the offering. (Prerequisite: Consent of instructor.)

AE 5101. ADVANCED FLUID DYNAMICS

An introduction to graduate level fluid dynamics. Topics covered include: concept of continuum; the conservation equations for systems and control volumes; the Navier-Stokes equations; unidirectional steady and transient flows; vorticity dynamics and rotating flows; laminar boundary layers; separation; potential flows; introduction to turbulence; Stokes flow; lubrication flow; surface tension and surface driven flows. Students cannot receive credit for this course if they have taken the Special Topics (ME593F) version of the same course or ME 511.

AE 5102. ADVANCED GAS DYNAMICS

An introduction to kinetic theory of gases and its application to equilibrium flows and flows with chemical, vibrational and translational nonequilibrium. Topics in kinetic theory also include the Boltzmann Equation and its relation to the continuum equations of gas dynamics. A major focus of the course is exploring how results for equilibrium flow of a perfect gas (e.g. flows in nozzles, normal and oblique shocks, expansion waves) are modified for an imperfect gas with nonequilibrium. The models of flow with nonequilibrium are then applied to the study of different flows of engineering interest including hypersonic flows (e.g. re-entry vehicles), propagating shock waves (explosions), and chemically reacting flows. Students cannot receive credit for this course if they have taken the Special Topics (ME 593G) version of the same course or ME 512.

AE 5103. COMPUTATIONAL FLUID DYNAMICS

Computational methods for incompressible and compressible viscous flows. Navier Stokes equations in general coordinates and grid generation techniques. Finite volume techniques including discretization, stability analysis, artificial viscosity, explicit and implicit methods, flux-vector splitting, Monotonic advection schemes and multigrid methods. Parallel computing. (Prerequisite: Fluid dynamics and introductory course in numerical methods.) Students cannot receive credit for this course if they have taken the Special Topics (ME 593P) version of the same course or ME612.

AE 5104. TURBOMACHINERY

This course is an introduction to the fluid mechanics and thermodynamics of turbomachinery for propulsion and power generation applications. Axial and centrifugal compressors will be discussed as well as axial and radial flow turbines. Analysis of the mean line flow in compressor and turbine blade rows and stages will be discussed. The blade-to-blade flow model will be presented and axisymmetric flow theory introduced. Three-dimensional flow, i.e. secondary flows, will also be discussed. Students cannot receive credit for this course if they have taken the Special Topics (ME 593H) version of the same course.

AE 5105. RENEWABLE ENERGY

The course provides an introduction to renewable energy, outlining the challenges in meeting the energy needs of humanity and exploring possible solutions in some detail. Specific topics include: use of energy and the correlation of energy use with the prosperity of nations; historical energy usage and future energy needs; engineering economics; electricity generation from the wind; wave/ocean energy, geo- thermal and solar-thermal energy; overview of fuel cells, biofuels, nuclear energy, and solar- photovoltaic systems and their role and prospects; distribution of energy and the energy infrastructure; energy for transportation; energy storage. Prerequisites; ES3001, ES3004 or equivalents. Students cannot receive credit for this course if they have taken the Special Topics (ME 593R) version of the same course.

AE 5106. INTRO TO PLASMA DYNAMICS

AE 5110. INTRODUCTION TO PLASMA DYNAMICS

The course introduces concepts of partially ionized gases (plasmas) and their role in a wide range of science and engineering fields. Fundamental theory includes topics in: equilibrium of ionized gases and kinetic theory; motion of charged particles in electromagnetic fields; elastic and inelastic collisions, cross sections and transport processes; fluid theory and magnetohydrodynamic models; sheaths. Applications cover areas such as plasma diagnostics, plasma discharges, acecraft/environment interactions, and plasma-aided material processing.

AE 5111. SPACECRAFT PROPULSION

This course provides students with the background and theory needed to evaluate the performance of the most commonly used electric and chemical spacecraft propulsion systems. Electrostatic ion and Hall thruster theory, design, and operation are covered including theory and operation of hollow cathodes, plasma generation and ion acceleration (including design of ion optics), magnetic field design, and beam neutralization. Topics in chemical propulsion include bipropellant and monopropellant chemistry (adiabatic flame temperature and ideal performance) with a focus on catalyst-bed and nozzle design considerations. Discussion of each class of thruster will be supplemented with specific examples of flight hardware.

AE 5200. MECHANICAL VIBRATIONS

The course provides fundamentals for vibration analysis of linear discrete and continuous dynamic systems, A vibrating system is first modeled mathematically as an initial value problem (IVP) or a boundary-initial value problem (BIVP) by the Newton-D?Alembert method and/or the Lagrange energy approach and then solved for various types of system. Explicit solutions for dynamic response of a linear single-degree-of-freedom (SDOF) system, both damped and undamped, is derived for free-vibration caused by the initial conditions and forced vibration caused by different excitations. Modal analysis is presented to solve for vibration response of both multi-degree-of-freedom (MDOF) systems and continuous systems with distributed parameters. As the basis of modal analysis, the natural frequencies and vibration modes of a linear dynamic system are obtained in advance by solving an associated generalized eigenvalue problem and the orthogonal properties of the vibration modes with respect to the stiffness and mass matrices are strictly proved. Computational methods for vibration analysis are introduced. Applications include but are not limited to cushion design of falling packages, vehicles traveling on a rough surface, multi-story building subjected to seismic and wind loading, and vibration analysis of bridges subjected to traffic loading. Students cannot receive credit for this course if they have taken the Special Topics (ME 593V) version of the same course or ME522.

AE 5202. ADVANCED DYNAMICS

Basic concepts and general principles of classical kinematics and dynamics of particles, systems of particles and rigid bodies are presented with application to engineering problems with complicated three- dimensional kinematics and dynamics. Derivation of the governing equations of motion using Principle of Virtual Work and Lagrange equations is described together with the direct Newton approach. Applications include: swings-effect and its use in engineering, illustrating in particular limit cycles and their stability and reversed-swings control of vibrations of pendulum; various examples of gyroscopic effects; and especially introductory rotordynamics including transverse vibrations (whirling) and potential instability of rotating shafts. Students cannot receive credit for this course if they have taken the Special Topics (ME 593D) version of the same course or ME 527.

AE 5220. CONTROL OF LINEAR DYNAMICAL SYSTEMS

This course covers analysis and synthesis of control laws for linear dynamical systems. Fundamental concepts including canonical representations, the state transition matrix, and the properties of controllability and observability will be discussed. The existence and synthesis of stabilizing feedback control laws using pole placement and linear quadratic optimal control will be discussed. The design of Luenberger observers and Kalman filters will be introduced. Examples pertaining to aerospace engineering, such as stability analysis and augmentation of longitudinal and lateral aircraft dynamics, will be considered. Assignments and term project (if any) will focus on the design, analysis, and implementation of linear control for current engineering problems. The use of Matlab?/Simulink? for analysis and design will be emphasized. Recommended background: Familiarity with ordinarydifferential equations,introductorycontrol theory, fundamentals of linear algebra, and the analysis of signals and systems is recommended. Familiarity with Matlab? is strongly recommended. Students cannot receive credit for this course if they have taken the Special Topics (ME 593N) version of the same course or ME 523.

AE 5221. CONTROL OF NONLINEAR DYNAMICAL SYSTEMS

Overview of stability concepts and examination of various methods for assessing stability such as linearization and Lyapunov methods. Introduction to various design methods based on linearization, sliding modes, adaptive control, and feedback linearization. Demonstration and performance analysis on engineering systems such as flexible robotic manipulators, mobile robots, spacecraft attitude control and aircraft control systems. Control synthesis and analysis is performed using Matlab?/Simulink?. Prerequisites: Familiarity with ordinary differential equations, introductory control theory at the undergraduate level, fundamentals of linear algebra. Familiarity with Matlab? is strongly recommended. Students cannot receive credit for this course if they have taken the Special Topics (ME 593N) version of the same course or ME 5203.

AE 5222. OPTIMAL CONTROL OF DYNAMICAL SYSTEMS

This course covers the synthesis of optimal control laws for linear and nonlinear dynamical systems. Necessary conditions for optimal control based on the Pontryagin Minimum Principle will be introduced, and cases of fixed and free terminal time and boundary conditions will be discussed. Feedback optimal control will be discussed, and the Hamilton-Jacobi-Bellman equation will be introduced. The special case of linear quadratic optimal control will be discussed. Examples throughout the course will be based on air-and-space vehicle applications, such as flight trajectory optimization. Assignments and term project (if any) will introduce basic numerical techniques, and introduce software packages for optimal control. Prequisites: Fluency with the theory of linear dynamical systems and control is required. Familiarity with MATLAB. Familiarity with air-and-space vehicledynamics is beneficial, but not necessary.

AE 5223. SPACE VEHICLE DYNAMICS AND CONTROL

Overview of spacecraft rotational motion. Stability analysis of forced and torque-free spacecraft motion. Effects of space environment and man-made torques on motion stability. Examination of orbital and attitude motion coupling. Theoretical formulation of spacecraft formation flying. Review of current trends in networked miniaturized spacecraft. Overview and sizing of actuating devices such as gas jet, electric thrusters, momentum wheels and magnetic torquers. Overview and selection of sensing devices such as sun sensors, magnetometers, GPS, IMUs. Formulation of spacecraft maneuvers as control design problems. Case studies on feedback attitude regulators and algorithms for linear and nonlinear attitude tracking. Design and realization of attitude control schemes using Matlab?/Simulink?. Prerequisites: Fundamentals of spacecraft orbital motion and attitude dynamics at the undergraduate level. Familiarity with state space and frequency domain control concepts such as stability, controllability and observability. Familiarity with Lyapunov-based stability analysis of nonlinear dynamical systems. Familiarity with Matlab?.

AE 5224. AIR VEHICLE DYNAMICS AND CONTROL

This course covers the fundamentals of the dynamics of rigid bodies and their motion under the influence of aerodynamic and gravitational forces. General equations of aircraft motion will be developed, followed by concepts of static and dynamic stability. Trim and linearization will be discussed, and the stability analysis of lateral and longitudinal modes in the linearized equations will be introduced. Stability augmentation via feedback control will be discussed. Aspects of aircraft navigation, guidance, and flight trajectory optimization will also be introduced. Prerequisites: Familiarity with the kinematics and dynamics of rigid bodies is required. Familiarity with ordinary differential equations is recommended. Familiarity with aircraft dynamics and control at the undergraduate level is beneficial, but not necessary.

AE 5380. FOUNDATIONS OF ELASTICITY

This course is suitable as an introductory graduate level course. Topics will be chosen from the following: three-dimensional states of stress; measures of strain; thick-walled cylinders, disks and spheres; plane stress and plane strain; thermoelasticity; Airy stress function; energy methods, and exact theory for torsion of non-circular cross sections. This course may be taken independent of ME 5302. Students cannot receive credit for this course if they have taken the Special Topics (ME 593N) version of the same course or ME 531.

AE 5381. APPLIED ELASTICITY

This course is suitable as an introductory graduate level course. Topics covered will be chosen from the following: bending and shear stresses in unsymmetric beams; bending of composite beams; bending of curved beams; torsion of thin-walled noncircular cross sections; beams on elastic foundations; stress concentrations; failure criteria; stability of columns; and bending of plates. This course may be taken independent of ME 5301. Students cannot receive credit for this course if they have taken the Special Topics (ME 593N) version of the same course or ME531.

AE 5382. AEROELASTICITY

Aeroelastic phenomena arise from the interaction between a fluid and a structure. Such phenomena are encountered in aerospace, mechanical and civil engineering systems. Topics covered include: aeroelastic phenomena in nature, divergence and control effectiveness in static conditions, static and dynamic instabilities of elastic bodies in a flow, flutter of wings, and aeroelastic testing techniques. Students will be introduced to analytical and computational techniques used to model and simulate aeroelasticity. Students cannot receive credit for this course if they have taken the Special Topics (ME 593N) version of the same course.

 
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