Graduate Certificate in Engineering Courses

There are three specialties related to the Aerospace Engineering academic option: General, Rotorcraft, and Space.  Students are required to select one specialization.


Four of the following courses and must include at least one course from each of the three subgroups:

ENAE641 Linear System Dynamics (3)
Prerequisite: ENAE432.  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.
ENAE642 Atmospheric Flight Control (3)
Prerequisite: ENAE403 and ENAE432; or students who have taken courses with similar or comparable course content may contact the department. 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.
ENAE654 Mechanics of Composite Structures (3)
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.
ENAE655 Structural Dynamics (3)
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.
ENAE656 Aeroelasticity (3)
Prerequisite: ENAE655. Restriction: Permission of ENGR-Aerospace Engineering 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.
ENAE674 Aerodynamics of Compressible Fluids (3)
Prerequisite: ENAE471. Restriction: Permission of ENGR-Aerospace Engineering 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.
ENAE676 Turbulence (3)
Prerequisite: ENAE672. Recommended: ENAE674. Physical and statistical descriptions of turbulence; review of phenomenological theories for turbulent flows; scales of motion; correlations and spectra; homogeneous turbulent flows; inhomogeneous shear flows; turbulent flows in pipes and channels; turbulent boundary layers; theory of methods for turbulent flows (Reynolds stress equations, LES, DES, DNS); experimental methods for turbulence measurements.

Four of the following courses:

ENAE631 Helicopter Aerodynamics I (3)
Prerequisite: ENAE414 and ENAE311. Or permission of ENGR-Aerospace Engineering department; and permission of 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.
ENAE632 Helicopter Aerodynamics II (3)
Prerequisite: ENAE631; and (ENAE414 and ENAE311; or students who have taken courses with similar or comparable course content may contact the department). Or permission of ENGR-Aerospace Engineering department. 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.
ENAE633 Helicopter Dynamics (3)
Prerequisite: ENAE631. Or permission of ENGR-Aerospace Engineering department; and permission of 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.
ENAE634 Helicopter Design (3)
Prerequisite: ENAE631. Or permission of ENGR-Aerospace Engineering department; and permission of 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 analysis, structural concepts, vibration reduction and noise. Required independent design project conforming to a standard helicopter request for proposal (RFP).
ENAE635 Helicopter Stability and Control (3)
Prerequisite: ENAE642 and ENAE631. Restriction: Permission of ENGR-Aerospace Engineering 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.



Four of the following courses:

ENAE601 Astrodynamics (3)
Prerequisite: ENAE404 and ENAE441. 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.
ENAE602 Spacecraft Attitude Dynamics and Control (3)
Prerequisite: ENAE404 and ENAE432. 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.
ENAE691 Satellite Design (3)
Prerequisite: ENAE483.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.
ENAE694 Spacecraft Communications (3)
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.
ENAE696 Spacecraft Thermal Design (3)
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.
ENAE741 Interplanetary Navigation and Guidance (3)
Prerequisite: ENAE601 and ENAE432.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.
ENAE791 Launch and Entry Vehicle Design (3)
Prerequisite: ENAE601. 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.


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