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Advanced Undergraduate Courses Available for Graduate Credit

AOE 4024 AN INTRODUCTION TO THE FINITE ELEMENT METHOD (ESM 4734)
The finite element method is introduced as a numerical method of solving the ordinary and partial differential equations arising in fluid flow, heat transfer, and solid and structural mechanics. The classes of problems considered include those described by the second-order and fourth-order ordinary differential equations and second-order partial differential equations. Both theory and applications of the method to problems in various fields of engineering and applied sciences will be studied.
Pre:AOE 2074 and MATH 2214 (3H 3C)

AOE 4054 STABILITY OF STRUCTURES (CE 4444) (ESM 4444)
Introduction to the methods of static structural stability analysis and their applications. Buckling of columns and frames. Energy method and approximate solutions. Elastic and inelastic behavior. Torsional and lateral buckling. Use of stability as a structural design criterion. This course is normally taught in the spring semesters.
Pre: AOE 3024,CE 3404.(3H 3C)

AOE 4064 FLUID FLOWS IN NATURE
Course designed to build upon and broaden a basic traditional engineering knowledge of fluid flows into areas concerning a variety of natural occurrences and phenomena that involve fluid motions in important ways. Drag sessile systems and motile animals, gliding and soaring, flying and swimming, internal flows in organisms, low Reynolds number flows, fluid-fluid interfaces, unsteady flows in nature and wind engineering.Must have C- in Prerequiste
Pre: AOE 3014 or CEE 3304 or ESM 3024 or ME 3404.(3H 3C)
This course is presently taught by:
Dr. Joseph Schetzhttp://www.aoe.vt.edu/~jschetz/fluidnature/

AOE 4084 ENGINEERING DESIGN OPTIMIZATION (ESM 4084)
Use of mathematical programming methods for engineering design optimization including linear programming, penalty function methods, and gradient projection methods. Applications to minimum weight design, open-loop optimum control, machine design, and appropriate design problems from other engineering disciplines.
Pre: MATH 2214 (3H 3C)

AOE 4114 APPLIED COMPUTATIONAL AERODYNAMICS
Development of computational methods for application to wing aerodynamic problems. Incompressible airfoil codes. Panel methods and vortex lattice methods. Finite difference techniques. Transonic and supersonic applications.
Pre: AOE 3044 and AOE 3114. (3H 3C).
This course is presently taught by:
Dr. William Masonhttp://www.aoe.vt.edu/~mason/Mason_f/CAtxtTop.html

AOE 4124 CONFIGURATION AERODYNAMICS
Aerodynamic design of flight vehicles, with emphasis on nonlinear flowfields and configuration concepts. aerodynamic analysis and design for transonic, supersonic, hypersonic flows, and low speed high alpha flight. Includes case studies of clasic configurations and aerodynamic design papers.
Pre: 3014,3114. (3H,3C)
This course is presently taught by:
Dr. William Masonhttp://www.aoe.vt.edu/~mason/Mason_f/ConfigAero.html

AOE 4140 SPACECRAFT DYNAMICS AND CONTROL
Space missions and how pointing requirements affect attitude control systems. Rotational kinematics and attitude determination algorithms. Modeling and analysis of the attitude dynamics of space vehicles. Rigid body dynamics, effects of energy dissipation. Gravity gradient, spin, and dual spin stabilization. Rotational maneuvers. Environmental torques. Impacts of attitude stabilization techniques on mission performance. This course is offered for both undergraduate and graduate credit
Pre: AOE 4134 and AOE 3034. (3H, 3C).
This course is presently taught by:
Dr. Chris Hallhttp://www.aoe.vt.edu/~cdhall/courses/aoe4140

AOE 4144 AIRCRAFT AUTOMATIC FLIGHT CONTROL
Introduction and history of aircraft automatic flight control. Mathematical models of linear systems elements. Bode amplitude and phase plots of longitudinal and lateral control system analysis. Inputs and system performance assessment. Multi-loop flight control systems. Applications to representative aircraft.
AOE 3134 and MATH 4564 are prerequisites. (3H 3C)

AOE 4174 SPACECRAFT PROPULSION
Spacecraft propulsion systems and their applications in orbital, interplanetary, and interstellar flight. Rocket propulsion fundamentals; advanced mission analysis; physics and engineering of chemical rockets, electrical thrusters, and propellantless systems (tethers and sails); spacecraft integration issues. Pre: 4234 or ME 4234. (3H,3C)

AOE 4204 OCEAN ACOUSTICS
Basic problems and techniques of underwater acoustics; sonar equations, sound propagation in the ocean, generation and detection of underwater sound, background and self noise, reverberation, target strength, applications.
Pre: MATH 4564. (3H 3C)

AOE 4214 OCEAN WAVE MECHANICS
Introduction to theory of wave motion in different water depth regions, including wave generation and propagation. Description of wave statistics and spectral representation for realistic ocean conditions. Wave forces on stationary structures. Nonlinear waves, wave properties, and methods of analysis. This course is taught in the Spring semester.
Pre: AOE 3014 and MATH 4564. (3H 3C)

AOE 4224 PROBABILISTIC ANALYSIS OF OCEAN SYSTEMS
Representation of random phenomena for ocean systems (waves, vehicle motions, wave-induced loads). Concepts of correlation (for vector processes), power spectra, probability density, envelope processes. Responses of linear dynamic systems, statistics of responses, accidence probability, extremes. Extension to nonlinear systems.
Pre: 3234, MATH 4564. (3H,3C)

AOE 4274 COMPUTER-BASED DESIGN OF OCEAN STRUCTURES
Computer-based structural models for combined finite element analysis, limit state analysis and optimization. Torsion of thin-walled structures. Buckling of stiffened panels and cylinders. Eigenvalue methods for buckling and vibration. Incremental plastic collapse; other progressive collapse. Ultimate strength of large structural modules. This course is normally taught in the spring semester.
Pre: AOE 3224 (3H 3C).

AOE 4404 APPLIED NUMERICAL METHODS (MATH 4404)
Interpolation and approximation, numerical integration, solution of equations, matrices and eigenvalues, systems of equations, approximate solution of ordinary and partial differential equations. Applications to physical problems. Partially duplicates MATH 4554 and MATH 3414. Mathematics majors or minors cannot take both AOE/MATH 4404 and MATH 3414.
Pre: MATH4564 and ESM 3074. (3H 3C).

AOE 4704 INTRODUCTION TO HEAT TRANSFER


AOE 4754 NAVAL ARCHITECTURE (ME 4754)


AOE4334 SHIP DYNAMICS
Analysis of motions of rigid body vehicles in water, including influence of added mass and buoyancy. Seakeeping motion responses in waves, wave-induced structural loads, random response analysis via spectral analysis, and extreme response analysis. Introduction to hydroelasticity and maneuvering. Pre: 3014, 3034, 4214, MATH 4564. (3H,3C)

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