Graduate Catalog

2012-2013

MECHANICAL AND AEROSPACE ENGINEERING

Department website: http://mae.nmsu.edu/

Graduate Program Website: http://mae.nmsu.edu/degree_programs/grad/

(575) 646-3502

ileslie@nmsu.edu

H. Leslie, interim department head,**Ph.D. (Stanford) – heat transfer, renewable energy; E. A. Butcher, Ph.D. (Auburn) – nonlinear dynamics, vibrations, controls, mechanism design; C. Cair, Ph.D. (Michigan) – rarefied gasdynamics, gaskinetic theory and gaskinetic CFD, propulsion, plasmadynamics and space weather, hypersonic flows; V. K. S. Choo, Ph.D. (Liverpool) – composite materials, computer applications; E. G. Conley,** Ph.D. (Michigan State) – optics, experimental mechanics, design; G. V. Garcia, Ph.D. (Texas A&M) – damage detection, experimental mechanics, vibration; J. Genin,** Ph.D. (Minnesota) – dynamics, vibrations, solid mechanics; H. C. Hardee,** Ph.D. (Texas-Austin) – electrical interconnections, geophysical instruments; O. Ma, Ph.D. (McGill) – dynamics, control, and robotics; Y.S. Lee, Ph.D. (Illinois Urbana- Champaign) – aeroelastically, fluid-structure interaction, nonlinear system identification; Y. H. Park, Ph.D. (Iowa) – design optimization, computational solid mechanics; A. K. Sanyal, Ph.D. (Michigan) – nonlinear control and estimation, geometric mechanics, control of aerospace vehicles; I. Sevostianov, Ph.D. (St. Petersburg, Russia) – micromechanics of materials, mechanics of biomaterials, mathematical physics; B. N. Shashikanth, Ph.D. (Southern California) – fluid mechanics, dynamical systems, controls; F. Shu, Ph.D. (Purdue) – experimental fluid dynamics, biofluidics and turblent flow; M. Wei, Ph.D. (Illinois Urbana-Champaign) – computational fluid mechanics, aeroacoustics, control and optimization
*Registered Professional Engineer (NM)
**Registered Professional Engineer (state other than NM)

DEGREE: Master of Science
MAJOR: Aerospace Engineering

DEGREE: Master of Science in Mechanical Engineering

DEGREE: Doctor of Philosophy
MAJOR: Aerospace Engineering

DEGREE: Doctor of Philosophy
MAJOR: Engineering
CONCENTRATION: Mechanical Engineering

MINOR: Mechanical Engineering

Graduate programs of study are available leading to the degrees of Master of Science and Doctor of Philosophy in Aerospace Engineering, the Master of Science in Mechanical Engineering, and the Doctor of Philosophy in Engineering with a concentration in Mechanical Engineering. Areas of active research in mechanical engineering include the following: experimental fluids with application to wind power, modeling and analysis of machining processes, micromechanics and cross property connections, computational mechanics with application to reservoir geomechanics, renewable energy, nonlinear dynamics and vibration, reduced order modeling in multibody dynamics, structural dynamics and fluids, robotics, composite materials and nanomaterials. Areas of active research in aerospace engineering include the following: computational, theoretical and experimental aero-fluids with application to flapping wing propulsion and fluid-structure interaction, aeroelasticity and flutter, space dynamics and control, spacecraft motion estimation, rarefied gasdynamics and space propulsion, ground simulation of reduced gravity environments, structural health monitoring, and unmanned aerial systems. Laboratory facilities supporting graduate research include a large subsonic wind tunnel, a large water channel, a robotics, controls and UAS lab, a reduced gravity simulation lab, a space dynamics and controls lab, and a composite materials lab. A mechanical testing lab is also available in the College of Engineering.

In addition to fulfilling the basic requirements for admission to the Graduate School, applicants are expected to have an undergraduate degree equivalent to a B.S. in mechanical or aerospace engineering from a university accredited by ABET. Graduate students whose BS degree is in a discipline other than A E or M E will normally be required to take undergraduate courses in M E or A E in order to prepare for graduate course work; such undergraduate preparatory work will be determined by the graduate coordinator on a case by case basis. A candidate for the master's degree can choose one of two options: a thesis option or a course-only option. Both options require a minimum of 30 credits of graduate study.

Doctoral candidates must complete a program of study determined by the student and his or her advisory committee. The student must successfully pass a written qualifying examination (administered during the student's first year of full-time study) and a written and oral comprehensive examination administered after approximately 80 percent of the course work is completed. The student must submit and defend an acceptable dissertation based on independent investigation in a field of study approved by the advisory committee. The requirements for the M.S. and Ph.D. degrees are stated below.

DEGREE: Master of Science
MAJOR: Aerospace Engineering (30 credits)

Students may select one of two options for completing their M.S. degree. Selection of a particular option must be made during the first semester of study in conjunction with selecting a permanent advisor.

Thesis Option

• M E 570
• At least 18 credits of A E graduate courses (up to six credits of M E graduate courses may be substituted with the approval of the Graduate Coordinator)
• All course must be 500 level or above
• The program of study may include three credits of A E 509 (individualized studies) and/or up to six credits of A E 510 (special topics courses offered formally on a one time basis)
• Publication requirement – refereed conference proceeding accepted or a referred journal article in review by graduation. The M.S. thesis can be a reformatted version of this paper. Exceptions may be made on a case by case basis by the department head.

Coursework Option

• M E 570 and one core course from 4 of the 5 following topic areas:
1. Space Dynamics: A E 561 Spacecraft and Attitude Dynamics and Control, A E 562 Astrodynamics
2. Aerofluids: A E 552 Gasdynamics, A E 572 Ideal Fluid Aerodynamics, A E 530 Intermediate Fluid Mechanics
3. Structural Dynamics and Control: A E 512 Vibrations, A E 566 Aeroelasticity, A E 527 Controls
4. Mechanics: M E 502 Elasticity, M E 504 Continuum Mechanics
5. Engineering Analysis: M E 580 Numerical Analysis, M E 518 Finite Elements
• Four additional A E courses (500 level or above) which may be core courses listed above, research area courses, A E 509, or A E 510. Graduate M E courses may be substituted for A E courses with the approval of the Graduate Program Coordinator.

DEGREE: Master of Science in Mechanical Engineering (30 credits)

Students may select one of two options for completing their M.S. degree. Selection of a particular option must be made during the first semester of study in conjunction with selecting a permanent advisor.

Thesis Option

• M E 570
• At least 18 credits of M E graduate courses (up to six credits of A E graduate courses may be substituted with the approval of the Graduate Coordinator)
• All course must be 500 level or above.
• The program of study may include three credits of M E 509 (individualized studies) and/or up to six credits of M E 510 (special topics courses offered formally on a one time basis)
• Publication Requirement: refereed conference proceeding accepted or a refereed journal article in review by graduation. The M.S. thesis can be a reformatted version of this paper. Exceptions may be made on a case by case basis by the department head.

Coursework Option

• M E 570 and one core course from 4 of the 5 following topic areas:
1. Solid Mechanics: M E 502 Elasticity, M E 504 Continuum Mechanics
2. Thermal Science: M E 503 Thermodynamics, M E 540 Intermediate Heat Transfer
3. Fluids: M E 530 Inter. Fluid mechanics, M E 533 Computational fluid mechanics
4. Dynamics and Vibrations: M E 511 Dynamics, M E 512 Vibrations
5. Engineering Analysis and Control: M E 580 Num. analysis, M E 518 Finite element analysis, M E 527 Control of mechanical systems
• Four additional M E courses (500 level or above) which may be core courses listed above, research area courses, dual listed courses, M E 509, or M E 510. Graduate A E courses may be substituted for M E courses with the approval of the Graduate Program Coordinator.

Selection of MS Option and Permanent Advisor

Newly admitted graduate students will be assigned a temporary advisor for the first semester, but they must select a degree option and permanent advisor before registering for the second semester.

In considering a decision about option and advisor, the student should arrange to meet with several members of the graduate faculty during the first six weeks of study to discuss specific educational objectives. The student can use these meetings to become familiar with faculty interests and research projects currently in progress. The faculty member must agree (in writing) to serve as the student's advisor.

All students must pass a final examination. The final examination is to be conducted by the student's advisory committee and is taken after completing all coursework and thesis work for the thesis option, or all coursework for the course-only option.

DEGREE: Doctor of Philosophy
MAJOR: Aerospace Engineering

The student's academic program is not judged satisfactory unless it prepares the student to contribute to the advancement of knowledge in the field of Aerospace Engineering. The Degree of Doctor of Philosophy is indicative of distinguished achievement in the areas of scholarship and original research. Therefore, a dissertation of high quality is required of all doctoral students in Aerospace Engineering. Students must follow the degree requirements listed below to complete the Ph.D. course of study.

• A minimum of 36 credit hours of coursework beyond the Bachelor of Science degree, at least 18 of which must support the student's research area.
• A minimum of 24 credit hours of research, A E 700 - Doctoral Dissertation, which may include a maximum of 6 credit hours of A E 600 Doctoral Research. A E 600 is intended for those students who have not completed the qualification examination, a prerequisite for A E 700.
• A student is required to have one refereed journal paper accepted and a second one accepted or in review by graduation. The Ph.D. dissertation can be a compilation and reformatted version of these published or accepted journal papers. Exceptions may be made on case by case basis by the Department Head.

DEGREE: Doctor of Philosophy
MAJOR: Engineering
CONCENTRATION: Mechanical Engineering

The student's academic program is not judged satisfactory unless it prepares the student to contribute to the advancement of knowledge in the field of Mechanical Engineering. The Degree of Doctor of Philosophy is indicative of distinguished achievement in the areas of scholarship and original research. Therefore, a dissertation of high quality is required of all doctoral students in Mechanical Engineering. Students must follow the degree requirements listed below to complete the Ph.D. course of study.

• A minimum of 36 credit hours of coursework (500 level or above) beyond the Bachelor of Science degree, at least 18 of which must support the student's research area.
• A minimum of 24 credit hours of research, M E 700 - Doctoral Dissertation, which may include a maximum of 6 credit hours of M E 600 Doctoral Research. M E 600 is intended for those students who have not completed the qualification examination, a prerequisite for M E 700.
• A student is required to have one refereed journal paper accepted and a second one accepted or in review by graduation. The Ph.D. dissertation can be a compilation and reformatted version of these published or accepted journal papers. Exceptions may be made on case by case basis by the Department Head.

Ph.D. Program Transfer Credits:

A student who has completed a Master of Science degree in M E, A E, or a closely related field may transfer up to 24 credits of graduate coursework, approved by the student's advisor, into a Ph.D. program of study.

Selection of Permanent Ph.D. Advisor

Newly admitted graduate students will be assigned a temporary advisor for the first semester. The student must select a permanent advisor before registering for the second semester. In selecting a permanent advisor, the student should arrange to meet with several members of the graduate faculty during the first six weeks of enrollment to discuss specific objectives. The student should use these meetings to become familiar with faculty research interests and research projects currently in progress. The faculty member must consent (in writing) to serve as the student's advisor.

Policies governing the Ph.D. written qualifying examination, the Ph.D. written and oral comprehensive examination, the student's Ph.D. committee, and the Ph.D. dissertation are contained in the department's Graduate Program website.

MECHANICAL ENGINEERING

M E 452. Introduction to Automation and Control System Design 3 cr. (2+3P)

Control system design and implementation. Emphasis on practical applications of traditional control algorithms to mechanical engineering applications in thermofluid systems and mechanical systems. Design of feedback analog and digital control systems. Introduction to robots and automation. Lab assignments include programming industrial robotic and automation systems.

M E 460. Applied Finite Elements 3 cr.

Introduction to the practical aspects of structural finite element modeling. Course focuses on providing a working knowledge of how to effectively incorporate finite element techniques into the design process. Prerequisite(s): Senior Standing.

M E 480. Nuclear Systems 3 cr.

Fundamentals of nuclear energy, systems, design, and analysis. Applications of nuclear energy in power production. Survey of modern nuclear systems. Prerequisite: MATH 192G or consent of instructor.

M E 481. Alternative and Renewable Energy 3 cr.

Current and future energy needs of the United States and the world will be considered primarily from the standpoint of renewable energy sources such as solar, wind, ocean, and biomass. Technical, economic, and environmental aspects of each technology will be addressed. Prerequisite(s): M E 341, and (M E 338 or A E 339).

M E 487. Mechatronics 3 cr. (2+3P)

Introduction to the analysis and design of computer-controlled electromechanical systems, including data acquisition and conversion, force and motion sensors, actuators, mechanisms, feedback control, and robotic devices. Students required to work in teams to construct and test simple robotic systems. Prerequisites: E E 201, and M E 345.

M E 502. Elasticity I 3 cr.

Introduction to stress tensor, strain tensor, constitutive law, energy theorems, plane stress and plane strain. Also covers torsion of shafts and propagation of stress waves in elastic solids.

M E 503. Thermodynamics 3 cr.

A comprehensive study of the first and second laws of thermodynamics, nonequilibrium processes, equations of state, and statistical thermodynamics.

M E 504. Continuum Mechanics 3 cr.

Basic introduction to the Mechanics of Continuous Media. Its aim is to prepare the student for more advanced courses in Solid and Fluid Mechanics. The topics to be covered include: introduction to Cartesian tensors, tensor algebra and calculus; Lagrangian and Eulerian kinematics; Cauchy and Piola-Kirchhoff stresses; general principles of conservation; constitutive theory for ideal fluids, Newtonian and non-Newtonian fluids, finite and linear elasticity.

M E 505. Fundementals of the Theory of Plasticity 3 cr.

Basic concepts in continuum mechanics, equations of the plastic state, equations of elastic-plastic equilibrium, criteria for yielding, initial and subsequent yield surfaces, two-dimensional and axi-symmetric plasticity problems, dynamic problems. Prerequisite(s): M E 502.

M E 509. Individualized Study 3 cr.

Individualized study covering specialized topics in mechanical and aerospace engineering. Consent of instructor required.

M E 510. Special Topics 1-6 cr.

Topics in mechanical engineering. May be repeated for a maximum of 6 credits. Prerequisite: consent of the department head.

M E 511. Dynamics 3 cr.

An advanced study of the dynamical behavior of systems of particles and rigid bodies, with emphasis on the theoretical background of dynamics.

M E 512. Vibrations 3 cr.

Free and forced vibrations for discrete and continuous systems with single or multiple degrees of freedom. Introduction to nonlinear and random vibration and solution techniques for such systems.

M E 514. Advanced Composite Materials 3 cr.

Study on the anisotropic elasticity, strength of anisotropic materials and micromechanics. Topics from micromechanics and macromechanics through lamination theory and examples of plate bending, buckling and vibration problems. Course taught on an as-needed basis.

M E 515. Non-Destructive Evaluation of Materials 3 cr.

Develop field equations for the propagation of elastic waves in materials. Their application in non-destructive evaluation of materials will be explored. Prerequisite: M E 570

M E 516. Fracture Mechanics 3 cr.

Brittle fracture of structures, elastic stress analysis of cracked components, elasticity of singular stress fields, stress-field theory of fracture, energy of fracture, static and dynamic failures, elastic-plastic fracture mechanics, fatigue crack growth and life prediction under constant and variable amplitude loading, environmental effects. Prerequisite(s): M E 502.

M E 517. Nonlinear Dynamics and Chaos 3 cr.

Singular points, periodic solutions, stability, and local bifurcations for ODEs and maps; phase space methods, invariant manifolds, and Poincare maps; nonsmooth, periodic, time-delay, and Hamiltonian systems; perturbation, averaging, and harmonic balance methods; center manifold reduction and normal forms; strange attractors, Liapunov exponents, attractor dimension; dissipative and Hamiltonian chaos

M E 518. Finite Element Analysis 3 cr.

Introduction to finite element method. Topics include mathematical modeling, variational formulation, shape functions, truss, beam, solid, and shell elements. Includes static, dynamic, and nonlinear analysis.

M E 520. Micromechanics 3 cr.

The course covers fundamentals of micromechanics: point force solution, Eshelby s problem, various approximate methods to calculate effective material properties of inhomogeneous materials, variational principles of the mechanics of composites. The history of micromechanics is discussed from Navier and Cauchy to current state of the art. Prerequisite(s): M E 502.

M E 522. Mechanics of Plates and Shells 3 cr.

Pure bending of plates (Kirchhoff theory); rectangular, circular, and annular plates under lateral loads; various edge conditions; effects of transverse shear deformation; large deflections of plates; theory of think curved shells; deformations and stresses of cylindrical and conical shells. Prerequisite(s): M E 502.

M E 523. Dynamic Stability 3 cr.

Develop field equations for discrete and continuous systems through motivational examples. Introduce mathematical theory of stability for both linear and nonlinear systems. Includes Lyapvnov's direct methods, linearization methods, center manifold theory, normal forms, and topological methods.

M E 524. Advanced Topics in Mechanics 3 cr.

Course provides an in-depth introduction to the methods and analysis techniques used in computational solutions of engineering mechanics problems. Numerical formulation and algorithms include: variational formulation and variational constitutive updates, finite element discretization, time integration algorithms and convergence analysis. Projects on finite element procedures in linear and non-linear problems are included.

M E 525. Nonlinear Structural Dynamics 3 cr.

Modern techniques to analyze and simulate nonlinear dynamical systems that arise in structural dynamics. The course will cover the following topics: summary of linear theory of multi-degree of freedom systems; sources of nonlinearity encountered in structural dynamics; effects of nonlinearity on structural response; nonlinear normal modes; reduced order modeling methods; data analysis methods; and applications from among aeroelasticity, energy pumping, structural health monitoring, system identification, and others.

M E 526. Robotics 3 cr.

Introduction to the fundamentals of robotics with emphasis on solutions to the basic problems in kinematics, dynamics, and control of manipulators of serial type. Covers modeling of rigid body motion, kinematics of articulated multibody systems, robot dynamics and simulation, sensing and actuation, robot controls, and task planning.

M E 527. Control of Mechanical Systems 3 cr.

Rigorous introduction to the control of dynamical systems, with a focus on mechanical systems. Includes basic systems theory, controllability, feedback and stabilization, observers and dynamic feedback, and applications of methods to systems of importance in mechanical engineering.

M E 529. Nonlinear and Optimal Control 3 cr.

Introduction to optimal control theory, Pontryagin's Maximum Principle, control of simple mechanical systems, Lagrangian and Hamiltonian methods, introduction to geometric control-Lie algebras, distributions, controllability and observability

M E 530. Intermediate Fluid Mechanics 3 cr.

Application of exact and empirical solutions to fundamental flow problems, including viscous and inviscid behavior. These applications establish a theoretical basis for the origin and physical role of common terms in the governing equations.

M E 533. Computational and Theoretical Fluid Mechanics 3 cr.

Application of fluid mechanics theory and computational approaches to advanced flow problems, including viscous/inviscid and laminar/turbulent behavior. Complex flow problems addressed through development of a theoretical formulation, followed by application of computational fluid dynamic (CFD) tools, and finally presentation and validation of solution data. Prerequisite: M E 530 or consent of instructor.

M E 534. Advance Computational Fluid Dynamics 3 cr.

Advanced techniques for large-scale numerical simulations of fluid flows: spectral numerical methods, including Fourier and other expansions, Galerkin and collocation projections, computational methods to solve incompressible and compressible Navier-Stokes equations, high-resolution methods for hyperbolic equations with discontinuous solutions, and issues related to implementation on supercomputers. Prerequisite(s): M E 533.

M E 535. Turbulence and Chaos 3 cr.

Classical and Computational Fluid Dynamics (CFD) techniques are used to investigate turbulent flows. Chaos and fractals introduced. Prerequisite(s): M E 530.

M E 536. Hydrodynamic Stability and Turbulence 3 cr.

Introduction to fundamentals of hydrodynamic stability, classical linear stability analysis of parallel shear flows and rotating flows, nonlinear stability, basic concepts in turbulence theory Prerequisite(s): M E 533.

M E 537. Vortex Dynamics 3 cr.

Basic laws of inviscid vortex motion-Helmholtz's laws, Kelvin's circulation theorem. Singular vortex models--point vortices, vortex rings, vortex patches, vortex sheets-with applications to vortex-dominated flows in engineering and nature. Numerical vortex methods Prerequisite(s): M E 533.

M E 538. Experimental Methods in Fluid Mechanics 3 cr. (2+3P)

Flow visualization techniques for incompressible and compressible flows, laser-based flow diagnostic methods, i.e., PIV (Particle Image Velocimetry), basic aspects of wind-tunnel design

M E 540. Intermediate Heat Transfer 3 cr.

Fundamentals of conduction, convection, and radiation heat transfer. Emphasis on the application of combined heat transfer to the solution of problems not accessible at the undergraduate level.

M E 570. Engineering Analysis I 3 cr.

Introduction to engineering analysis with emphasis on engineering applications. Topics include linear algebra, linear ordinary differential equations, and linear partial differential equations with focus on analytical methods.

M E 580. Engineering Analysis II 3 cr.

Engineering analysis with emphasis on engineering applications. Topics include analytical and numerical methods in linear and nonlinear ordinary and partial differential equations. Prerequisite: M E 570 or consent of instructor.

M E 598. Special Research Programs 1-3 cr.

Individual investigations, either analytical or experimental. May be repeated for a maximum of 6 credits.

M E 599. Master's Thesis 0-88 cr.

Thesis.

M E 600. Doctoral Research 1-88 cr.

This course number is used for assigning credit for research performed prior to successful completion of the doctoral qualifying examination.

M E 698. Special Research Programs 1-3 cr.

May be repeated for a maximum of 6 credits.

M E 700. Doctoral Dissertation 0-88 cr.

Dissertation.

AEROSPACE ENGINEERING

A E 509. Individualized Study 3 cr.

Individualized study covering specialized topics in aerospace engineering. Consent of instructor required. Restricted to AEME majors.

A E 510. Special Topics 1-6 cr.

Topics in aerospace engineering. May be repeated for a maximum of 6 credits. Consent of instructor required.

A E 512. Vibrations 3 cr.

Free and forced vibrations for discrete and continuous systems with single or multiple degrees of freedom. Introduction to nonlinear and random vibration and solution techniques for such systems. Crosslisted with: M E 512

A E 525. Nonlinear Structural Dynamics 3 cr.

Modern techniques to analyze and simulate nonlinear dynamical systems that arise in structural dynamics. The course will cover the following topics: summary of linear theory of multi-degree of freedom systems; sources of nonlinearity encountered in structural dynamics; effects of nonlinearity on structural response; nonlinear normal modes; reduced order modeling methods; data analysis methods; and applications from among aeroelasticity, energy pumping, structural health monitoring, system identification, and others. Crosslisted with: M E 525

A E 527. Control of Mechanical Systems 3 cr.

Rigorous introduction to the control of dynamical systems, with a focus on mechanical systems. Includes basic systems theory, controllability, feedback and stabilization, observers and dynamic feedback, and applications of methods to systems of importance in mechanical engineering. Consent of instructor required. Crosslisted with: M E 527

A E 529. Nonlinear and Optimal Control 3 cr.

Introduction to optimal control theory, Pontryagin's Maximum Principle, control of simple mechanical systems, Lagrangian and Hamiltonian methods, introduction to geometric control-Lie algebras, distributions, controllability and observability. Crosslisted with: M E 529

A E 530. Intermediate Fluid Mechanics 3 cr.

Application of exact and empirical solutions to fundamental flow problems, including viscous and inviscid behavior. These applications establish a theoretical basis for the origin and physical role of common terms in the governing equations. Crosslisted with: M E 530

A E 533. Computational and Theoretical Fluid Mechanics 3 cr.

Application of fluid mechanics theory and computational approaches to advanced flow problems, including viscous/inviscid and laminar/turbulent behavior. Complex flow problems addressed through development of a theoretical formulation, followed by application of computational fluid dynamic (CFD) tools, and finally presentation and validation of solution data. Pre/Corequisite(s): ME 530 or consent of instructor. Crosslisted with: M E 533

A E 552. Introduction to Gasdynamics 3 cr.

Gaskinetics, rarefied gasdynamics, collision dynamics; velocity distribution function, finite rate chemical process; thermal nonequilibrium and chemically reacting flows; introduction to quantum and statistical mechanics; Boltzmann equation and the BGK model; moments of the Boltzmann Equation; the Navier-Stokes Equation; the structure of shock waves.

A E 554. Introduction to Plasmadynamics and Space Weather 3 cr.

Equilibrium neutral gaskinetic theory; Neutral gas interactions: drag, contamination, erosion and glow; Particle Interactions, hypervelocity and shielding theory; Debye length & sheaths, plasma frequencies; Magneto-hydro-dynamics; Radiation theory, solar wind effects, cosmic rays; Plasma Interactions: surface charging, current collection, arcing; Radiation estimations; Solar wind; Magnetosphere.

A E 561. Spacecraft Attitude Dynamics and Controls 3 cr.

Rigid body kinematics and spacecraft attitude descriptions including Euler angles, Euler parameters, classical and modified Rodrigues parameters, and stereographic orientation parameters; Wahba's problem, q-method, and QUEST algorithms; torque-free attitude dynamics; motion and stability due to spinning craft and gravity gradient torque; passive and active methods of attitude control; nonlinear regulator and attitude tracking using feedback control laws.

A E 562. Astrodynamics 3 cr.

Two-body problem, orbit analysis, and classical orbit determination methods; trajectory design and optimization; orbital maneuvers using impulsive or continuous thrust; relative motion and rendezvous; perturbations and Lagrange planetary equations; interplanetary mission design including gravity assists; introduction to the three-body problem, halo orbits, and invariant manifolds in mission design.

A E 564. Flight Dynamics and Stability 3 cr.

Static and dynamic aerodynamic coefficient force and moment modeling; steady flight; equations of motion; longitudinal and lateral stability; coupled motions; nonlinear effects; applications to aircraft and re-entry vehicles.

A E 565. Statistical Orbit Determination 3 cr.

Theory of batch and sequential (Kalman) filtering as applied to satellite ranging data, including a review of necessary concepts of probability and statistics; orthogonal transformation techniques, square root filtering, and consider covariance analysis. Course work includes a term project that allows students to apply theory to an actual satellite orbit determination problem.

A E 566. Aeroelasticity 3 cr.

Introduction to aeroelasticity with emphasis on fluid-structure interactions occurring in aircraft. Phenomena considered include flutter/LCD (limit cycle oscillation), buffeting, divergence, and control reversal. Primary emphasis on structural dynamics, with use of simple aerodynamic models.

A E 575. Propulsion 3 cr.

Thermodynamics and dynamics of air breathing aircraft power plants; engine performance; off-design equilibrium running of turbojet engines; centrifugal compressors; jet, rocket, and ramjet engines; elective propulsion principles and devices for space vehicles.

A E 598. Special Research Programs 1-3 cr.

Individual investigations, either analytical or experimental. May be repeated for a maximum of 6 credits. Restricted to AEME majors.

A E 599. Master's Thesis 0-88 cr.

Thesis. Graded: Thesis/Disertation.

A E 600. Doctoral Research 1-88 cr.

This course number is used for assigning credit for research performed prior to successful completion of the doctoral qualifying examination. Graded: Thesis/Disertation.

A E 698. Special Research Programs 1-3 cr.

May be repeated for a maximum of 6 credits.

A E 700. Doctoral Dissertation 0-88 cr.

Dissertation. Graded: Thesis/Disertation.