Graduate Courses for Engineering, Aerospace (ENAE)
Schedule of Classes:
Fall |
Winter |
Spring |
Summer
(Only current and next semester available)
ENAE 403 Aircraft Flight Dynamics (3 credits)
Prerequisites: ENAE432 and ENAE414. ENAE majors only or permission of
department.
Study of motion of aircraft, equations of motion, aerodynamic force
representation, longitudinal and lateral motions, response to controls
and to atmospheric disturbances, handling qualities criteria and
other figures of merit.
ENAE 404 Space Flight Dynamics (3 credits)
Prerequisite: ENAE301. ENAE majors only or permission of department.
Three-dimensional motion under central fields. Solutions to orbital
motion, orbital elements, time elements. Kepler's laws. Orbital
maneuvering, rendezvous and station-keeping. Rigid-body attitude
dynamics, spacecraft attitude dynamics.
ENAE 414 Aerodynamics II (3 credits)
Prerequisite: ENAE311. ENAE majors only or permission of department.
Junior standing. Formerly ENAE 371.
Aerodynamics of inviscid incompressible flows. Aerodynamic forces and
moments. Fluid statics/buoyancy force. Vorticity, circulation, the
stream function and the velocity potential. Bernoulli's and Laplace's
equations. Flows in low speed wind tunnels and airspeed measurement.
Potential flows involving sources and sinks, doublets, and vortices.
Development of the theory of airfoils and wings.
ENAE 415 Helicopter Theory (3 credits)
Prerequisite: ENAE414.
Elementary exposition on the theory and practice of aerodynamics applied
to helicopters and other rotary wing aircraft.
ENAE 423 Vibration and Aeroelasticity (3 credits)
Prerequisite: ENAE324. ENAE majors only or permission of department.
Dynamic response of single and multiple degrees of freedom systems,
finite element modeling, wing divergence, aileron reversal, wing and
panel flutter.
ENAE 424 Design and Manufacture of Composite Prototypes (3 credits)
Two hours of lecture and three hours of laboratory per week.
Prerequisite: ENES220. Corequisite: ENAE324.
Manufacturing practices involving composites. Developing a manufacturing
process for a composite component integrating the many aspects including
cost, schedule, performance. Student teams provide oral and written
reports of the design and manufacture of a composite prototype.
ENAE 425 Mechanics of Composite Structures (3 credits)
Prerequisite: MATH246. Corequisite: ENAE324.
Introduction to structures composed of composite materials and their
applications in aerospace. In particular, filamentary composite
materials are studied. Material types and fabrication techniques,
material properties, micromechanics, anisotropic elasticity,
introduction to failure concepts.
ENAE 432 Control of Aerospace Systems (3 credits)
Prerequisite: grade of C or better in ENAE283 and ENAE301. Junior
standing. Formerly ENAE 332.
An introduction to the feedback control of dynamic systems. Laplace
transforms and transfer function techniques; frequency response and Bode
diagrams. Stability analysis via root locus and Nyquist techniques.
Performance specifications in time and frequency domains, and design of
compensation strategies to meet performance goals.
ENAE 441 Space Navigation and Guidance (3 credits)
Prerequisites: ENAE432 and ENAE404. ENAE majors only or permission of
department.
Principles of navigation. Celestial, radio, and inertial navigation
schemes. Navigational and guidance requirements for orbital, planetary,
and atmospheric entry missions. Fundamentals of communications and
information theory. Link budgets, antennas and telemetry systems.
ENAE 455 Aircraft Propulsion and Power (3 credits)
Prerequisite: ENAE311, ENAE414 and ENME232. ENAE majors only or
permission of department.
Thermodynamic cycle analysis, aerothermochemistry of fuels and
propellants, operating principles of piston, turbojet, fanjet, and
other variations of airbreathing aircraft power units.
ENAE 457 Space Propulsion and Power (3 credits)
Prerequisites: ENAE311, ENME232 and (PHYS270 and 271 {Formerly:
PHYS263}). ENAE majors only or permission of department. Senior
standing.
Thermodynamic cycle analysis, aerothermochemistry of fuels and
propellants, operating principles of rocket, ion, and other
exoatmospheric power units.
ENAE 464 Aerospace Engineering Laboratory (3 credits)
Two hours of lecture and three hours of laboratory per week.
Prerequisites: ENAE311; ENAE324; ENAE432; and ENAE362. ENAE majors only
or permission of department.
Application of fundamental measuring techniques to measurements in
aerospace engineering. Includes experiments in aerodynamics, structures,
propulsion, flight dynamics and astrodynamics. Correlation of theory
with experimental results.
ENAE 471 Aircraft Flight Testing (3 credits)
Prerequisite: ENAE414;. Corequisite: ENAE403. For ENAE majors only.
Provides basic instruction to aircraft flight testing and demonstrates
need for systematic, well-proven technique to allow for accurate
airplane performance. Concepts of aerodynamics, airplane performance,
and stability and control. Emphasis on single-engine general aviation
type aircraft.
ENAE 481 Principles of Aircraft Design (3 credits)
Prerequisites: ENAE324, ENAE362 and ENAE432. Corequisite: ENAE414. ENAE
majors only or permission of department.
Aircraft design principles blending both synthesis and analysis. The
iterative nature of the design process. Applied aerodynamics. Elements
of aircraft performance calculation and optimization. Design of
aircraft including payload, crew and avionics provisions, propulsion
selection and sizing, aerodynamic configuration optimization, mass
properties, stability and control characteristics, and vehicle
subsystems. Individual student projects in aircraft design.
ENAE 482 Aeronautical Systems Design (3 credits)
Two hours of lecture and three hours of laboratory per week.
Prerequisites: ENAE403; ENAE423; ENAE455; and ENAE481. Senior standing.
For ENAE majors only.
Senior capstone design course in the aeronautics track. Introduction
of computerized methods for sizing and performance analysis. More
comprehensive methods to predict weight, aerodynamics and propulsion
system characteristics. Consideration in design disciplines such as
vulnerability, maintainability, produceability, etc. Groups of students
will complete, brief and report on a major design study to specific
requirements.
ENAE 483 Principles of Space Systems Design (3 credits)
Prerequisites: ENAE324; ENAE432; ENAE362; and ENAE404. ENAE majors only
or permission of department.
Principles of space systems analysis and vehicle design. Launch vehicle
performance analysis and optimization. Design of vehicle systems
including avionics, power, propulsion, life support, human factors,
structures, actuator and mechanisms, and thermal control. Design
processes and design synthesis. Individual student projects in vehicle
design.
ENAE 484 Space Systems Design (3 credits)
Three hours of lecture and six hours of discussion/recitation per week.
Prerequisites: ENAE423; ENAE441; ENAE457; and ENAE483. For ENAE majors
only.
Senior capstone design course in the space track. Group preliminary
design of a space system, including system and subsystem design,
configuration control, costing, risk analysis, and programmatic
development. Course also emphasizes written and oral engineering
communications.
ENAE 488 Topics in Aerospace Engineering (1-4 credits)
Technical elective taken with the permission of the student's advisor
and instructor. Lecture and conference courses designed to extend the
student's understanding of aerospace engineering. Current topics are
emphasized.
ENAE 499 Elective Research (1-3 credits)
Prerequisites: senior standing in ENAE major and permission of
department, instructor, and student's advisor. Repeatable to 6 credits.
Original research projects terminating in a written report.
ENAE 601 Astrodynamics (3 credits)
Prerequisites: ENAE 404 and ENAE 441.
Mathematics and applications of orbit theory, building upon the
foundations developed in ENAE 404 and ENAE 441. Topics include two body
orbits, solutions of Kepler's equation, the two-point boundary value
problem, rendezvous techniques, and Encke's method.
ENAE 602 Spacecraft Attitude Dynamics and Control (3 credits)
Prerequisites: ENAE 404 and ENAE 432.
Rigid body rotational dynamics of spacecraft; forced and unforced
motion, torques produced by the orbital environment; orbit/attitude
coupling; gas jet, momentum wheel, and magnetic torque actuators.
Elementary feedback attitude regulators and algorithms for linear and
nonlinear attitude tracking.
ENAE 631 Helicopter Aerodynamics I (3 credits)
Prerequisites: ENAE 311 and ENAE 414 or permission of both department
and instructor.
A history of rotary-wing aircraft, introduction to hovering theory,
hovering and axial flight performance, factors affecting hovering and
vertical flight performance, autorotation in vertical descent, concepts
of blade motion and control, aerodynamics of forward flight, forward
flight performance, operational envelope, and introduction to rotor
acoustics.
ENAE 632 Helicopter Aerodynamics II (3 credits)
Prerequisites: {ENAE 631; and ENAE 311 and ENAE 414 or equivalent} or
permission of both department and instructor.
Basic aerodynamic design issues associated with main rotors and tail
rotors, discussion of detailed aerodynamic characteristics of rotor
airfoils, modeling of rotor airfoil characteristics, review of classical
methods of modeling unsteady aerodynamics, the problem of dynamic stall,
review of methods of rotor analysis, physical description and modeling
of rotor vortical wakes, discussion of aerodynamic interactional
phenomena on rotorcraft, advanced rotor tip design, physics and
modeling of rotor acoustics.
ENAE 633 Helicopter Dynamics (3 credits)
Prerequisite: ENAE 631 or permission of both department and instructor.
Flap dynamics. Mathematical methods to solve rotor dynamics problems.
Flap-lag-torsion dynamics and identify structural and inertial coupling
terms. Overview on rotary wing unsteady aerodynamics. Basic theory of
blade aeroelastic stability and ground and air resonance stability,
vibration analyses and suppression.
ENAE 634 Helicopter Design (3 credits)
Prerequisite: ENAE 631 or permission of both department and instructor.
Principles and practice of the preliminary design of helicopters and
similar rotary wing aircrafts. Design trend studies, configuration
selection and sizing methods, performance and handling qualities
analyses, structural concepts, vibration reduction and noise. Required
independent design project conforming to a standard helicopter request
for proposal (RFP).
ENAE 635 Helicopter Stability and Control (3 credits)
Prerequisite: {ENAE 631 and ENAE 642,} or permission of department.
Advanced dynamics as required to model rotorcraft for flight dynamic
studies. Development of helicopter simulation models and specifications
of handling qualities. Methods for calculation of trim, poles, frequency
response, and free flight response to pilot inputs.
ENAE 640 Atmospheric Flight Mechanics (3 credits)
Prerequisite: ENAE 403 or permission of department.
Studies in the dynamics and control of flight vehicles. Fundamentals of
the dynamics of rigid and non-rigid bodies and their motion under the
influence of aerodynamic and gravitational forces.
ENAE 641 Linear System Dynamics (3 credits)
Prerequisite: ENAE 432.
Linear systems; state space, multi-input, multi-output models;
eigenstructure; controllability, observability, singular value analysis;
multivariable Nyquist condition; observer design; introduction to Kalman
filtering. Full state feedback techniques including pole placement and
LQR/LQG techniques; introduction to loop shaping and robustness.
ENAE 642 Atmospheric Flight Control (3 credits)
Prerequisites: ENAE 432 and ENAE 403, or equivalents.
Exposure to flight guidance and control. Draws heavily from vehicle
dynamics as well as feedback theory, and careful treatment of the
non-linear aspects of the problem is critical. Conventional sythesis
techniques are stressed, although modern methods are not ignored.
Multivariable system analysis is included, along with flight-control
design objectives and hardware limitations. Emphasis on aircraft and
missiles.
ENAE 644 Optimal Control of Aerospace Systems (3 credits)
Prerequisites: ENAE 432, ENAE 403 or ENAE 404, or equivalents.
Formal optimization of linear and non-linear dynamic systems, developed
rigorously via the calculus of variations - first and second variations.
Treatment of dynamic constraints, terminal conditions, fixed and free
final times. Numerical techniques to the non-linear optimization problem
are stressed. Investigation of optimal aerodynamic shapes, trajectory
optimization, optimal flight guidance. Final project includes numerical
analysis.
ENAE 651 Smart Structures (3 credits)
Topics related to the analysis, design, and implementation of smart
structures and systems: modeling of beams and plates with induced strain
actuation; shape memory alloys; electro-rheological fluids;
magnetostrictor and electrostricter actuators and fiber optic sensors.
ENAE 652 Computational Structural Mechanics (3 credits)
Prerequisite: permission of both department and instructor.
Fundamentals of structural mechanics and computational modeling.
Finite element modeling of two- and three-dimensional solids, plates
and shells. Geometrically nonlinear behavior. Structural stability
such as buckling and postbuckling.
ENAE 653 Nonlinear Finite Element Analysis of Continua (3 credits)
Prerequisite: ENAE 652 or equivalent.
Finite element formulation of nonlinear and time dependent processes.
Introduction to tensors, nonlinear elasticity, plasticity and creep.
Application to nonlinear solids including aerospace structures, such as
shells undergoing finite rotations.
ENAE 654 Mechanics of Composite Structures (3 credits)
Prerequisite: ENAE 452 or permission of both department and instructor..
Corequisite: ENAE 423 or equivalent.
An introduction to structures composed of composite materials and their
applications in aerospace. In particular, filamentary composite
materials are studied. Material types and fabrication techniques,
material properties, micromechanics, anisotropic elasticity,
introduction to failure concepts.
ENAE 655 Structural Dynamics (3 credits)
Prerequisite: ENAE 452 or permission of department.
Advanced principles of dynamics necessary for structural analysis;
solutions of eigenvalue problems for discrete and continuous elastic
systems, solutions to forced response boundary value problems by
direct, modal, and transform methods.
ENAE 656 Aeroelasticity (3 credits)
Prerequisite: ENAE 655 or permission of department.
Topics in aeroelasticity: wing divergence; aileron reversal;
flexibility effects on aircraft stability derivatives; wing, empennage
and aircraft flutter; panel flutter; aircraft gust response; and
aeroservoelasticity of airplanes.
ENAE 661 Advanced Propulsion I (3 credits)
Prerequisites: ENAE 455; and ENAE 457.
Special problems of thermodynamics and dynamics of aircraft power
plants; jet, rocket and ramjet engines. Plasma, ion and nuclear
propulsion for space vehicles.
ENAE 662 Advanced Propulsion II (3 credits)
Prerequisite: ENAE 661.
Special problems of thermodynamics and dynamics of aircraft power
plants; jet, rocket and ramjet engines. Plasma, ion and nuclear
propulsion for space vehicles.
ENAE 670 Fundamentals of Aerodynamics (3 credits)
Prerequisite: permission of department.
Introduction to aerodynamics for aerospace engineering students
specializing in fields other than aerodynamics. Broad coverage of
flight regimes, inviscid theory, incompressible theory, subsonic
compressible flow, linearized supersonic flow, hypersonic flow, viscous
flows, Navier-Stokes equations, boundary layer theories.
ENAE 672 Aerodynamics of Incompressible Fluids (3 credits)
Prerequisite: MATH 463 or permission of instructor.
Fundamental equations in fluid mechanics. Irrotational motion.
Circulation theory of lift. Thin airfoil theory. Lifting line theory.
Wind tunnel corrections. Perturbation methods.
ENAE 674 Aerodynamics of Compressible Fluids (3 credits)
Prerequisite: ENAE 471 or permission of department.
One-dimensional flow of a perfect compressible fluid. Shock waves.
Two-dimensional linearized theory of compressible flow. Two-dimensional
transonic and hypersonic flows. Exact solutions of two-dimensional
isotropic flow. Linearized theory of three-dimensional potential flow.
Exact solution of axially symmetrical potential flow. One-dimensional
flow with friction and heat addition.
ENAE 676 Aerodynamics of Viscous Fluids (3 credits)
Prerequisite: ENAE 416 or permission of department.
Derivation of navier stokes equations, some exact solutions: boundary
layer equations. Laminar flow-similar solutions, compressibility,
transformations, analytic approximations, numerical methods, stability
and transition to turbulent flow. Turbulent flow-istropic turbulence,
boundary layer flows, free mixing flows.
ENAE 681 Engineering Optimization (3 credits)
Prerequisite: permission of department.
Methods for unconstrained and constrained minimization of functions of
several variables. Sensitivity analysis for systems of algebraic
equations, eigenvalue problems, and systems of ordinary differential
equations. Methods for transformation of an optimization problem into a
sequence of approximate problems. Optimum design sensitivity analysis.
ENAE 682 Hypersonic Aerodynamics (3 credits)
Prerequisite: permission of department.
Hypersonic shock and expansion waves, Newtonian theory, Mach methods,
numerical solutions to hypersonic inviscid flows, hypersonic boundary
layer theory, viscous interactions, numerical solutions to hypersonic
viscous flows. Applications to hypersonic vehicles.
ENAE 683 High Temperature Gas Dynamics (3 credits)
Prerequisite: permission of department.
Aspects of physical chemistry and statistical thermodynamics necessary
for the analysis of high temperature flows, equilibrium and
nonequilibrium chemically reacting flows, shock waves, nozzle flows,
viscous chemically reacting flow, blunt body flows, chemically reacting
boundary layers, elements of radiative gas dynamics and applications to
hypersonic vehicles.
ENAE 684 Computational Fluid Dynamics I (3 credits)
Prerequisite: permission of department.
Partial differential equations applied to flow modelling, fundamental
numerical techniques for the solution of these equations, elliptic,
parabolic, and hyperbolic equations, elements of finite difference
solutions, explicit and implicit techniques. Applications to
fundamental flow problems.
ENAE 685 Computational Fluid Dynamics II (3 credits)
Prerequisite: ENAE 684 or permission of department.
Continuation of ENAE 684. Basic algorithms for the numerical solution
of two and three dimensional inviscid and viscous flows. Applications
to internal and external flow problems.
ENAE 688 Seminar (1-3 credits)
ENAE 691 Satellite Design (3 credits)
Prerequisite: ENAE 483.
Systems design of Earth-orbiting satellites, including geostationary
communications satellites and low Earth orbit constellations. Basics of
orbital motion, communications, and instrument design. Spacecraft
systems, structural design, thermal design, power generation, and
attitude determination and control. Launch vehicle interfacing and
mission operations.
ENAE 692 Introduction to Space Robotics (3 credits)
Analysis techniques for manipulator kinematics and dynamics. DH
parameters, serial and parallel manipulators, approaches to redundancy.
Applications of robots to space operations, including manipulators on
free-flying bases, satellite servicing, and planetary surface mobility.
Sensors, actuators, and mechanism design. Command and control with
humans in the loop.
ENAE 693 Space Simulation (3 credits)
Physical characteristics of the space environment, and approaches to
simulating them on Earth. Systems modeling; kinematics and dynamics.
Required degrees of freedom and levels of fidelity. Physical
simulations, including neutral buoyancy, air-bearing, and motion
carriages. Instrumentation and data collection, error analysis,
correlation, and performance metrics.
ENAE 694 Spacecraft Communications (3 credits)
Brief overview of satellite orbits. Radio frequency communications,
noise, and bandwidth limitations. Link budget analysis. Modulation and
multiplexing approaches, multiple access systems. Satellite transponder
and Earth station technology.
ENAE 696 Spacecraft Thermal Design (3 credits)
Thermal sources in space. Black-body radiation; absorptivity and
emissivity; radiative thermal equilibrium. Mutually radiating plates,
view angles, and interior conduction. Techniques of spacecraft thermal
analysis; approaches to passive and active thermal control.
ENAE 697 Space Human Factors and Life Support (3 credits)
Engineering requirements supporting humans in space. Life support
design: radiation effects and mitigation strategies; requirements for
atmosphere; water, food, and temperature control. Accommodations for
human productivity in space: physical and psychological requirements;
work station design; and safety implication of system architectures.
Design and operations for extra-vehicular activity.
ENAE 741 Interplanetary Navigation and Guidance (3 credits)
Prerequisites: ENAE 432 and ENAE 601.
Interplanetary trajectory construction; patched and multiconic
techniques. Methods of orbit and attitude determination; applied Kalman
filtering. Guidance algorithms and B-plane targeting. Interplanetary
navigation utilizing in situ and radio techniques.
ENAE 742 Robust Multivariable Control (3 credits)
Prerequisites: ENAE 432 or equivalent, plus graduate-level exposure to
linear systems and linear algebra.
Limitations on achievable performance in multivariable feedback systems
due to uncertainty. Singular values, matrix norms, multivariable Nyquist
stability theory, uncertainty modeling in aerospace systems.
Loop-shaping, generalization of Bode design principles. Characterizing
the uncertainty, robustness and performance analysis, and synthesis,
primarily in the frequency domain. Current research directions.
Aerospace examples are used to complement the theory.
ENAE 743 Applied Nonlinear Control of Aerospace Vehicles (3 credits)
Prerequisite: ENAE 641.
Modern methods of analysis and synthesis of multivariable nonlinear
control techniques for aircraft, spacecraft, and space manipulator
systems. Topics include passivity and Lyapunov theory, feedback
linearization, nonlinear observers, Hamiltonian methods, robust
controller design, and an introduction to adaptive nonlinear control
methods.
ENAE 754 Integrity of Composite Structures (3 credits)
Prerequisite: ENAE 654 or equivalent.
Failure mechanisms of composite structures such as fracture,
delamination. Specific areas include crashworthiness, flaws, tapered
structures, and joints. Key research areas reflect special applications
to aerospace engineering.
ENAE 757 Advanced Structural Dynamics (3 credits)
Prerequisite: ENAE655 or equivalent.
Model correlation and updating of multi degree-of-freedom structural
systems. Wave propagation analysis of structural dynamics. Structural
health monitoring and damage detection methods. Stationary and
non-stationary methods for vibration analysis. Applications include
rotorcraft, aircraft, and spacecraft structures.
ENAE 788 Selected Topics in Aerospace Engineering (1-3 credits)
ENAE 791 Launch and Entry Vehicle Design (3 credits)
Prerequisite: ENAE 601.
Design of aerospace vehicles for atmospheric transit to and from space.
Generic formulation of atmospheric flight dynamics. Ballistic and
lifting entry trajectories. Estimation of vehicle aerodynamic properties
and aerothermodynamic heating. Entry thermal protection design.
Trajectory analysis of sounding rockets and orbital launch vehicles.
Serial, parallel, and hybrid multistaging schemes, optimal multistaging.
Constrained trajectory optimization. Launch vehicle economic and
reliability analysis, flight termination systems, sensors and actuators.
ENAE 799 Master's Thesis Research (1-6 credits)
ENAE 898 Pre-Candidacy Research (1-8 credits)
ENAE 899 Doctoral Dissertation Research (1-8 credits)
