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Aerospace Engineering Courses (Undergraduate)


Required AE Courses

AOE 2074 COMPUTATIONAL METHODS
Solving engineering problems using numerical methods and software, truncation and round-off error, root finding, linear and polynomial regression, interpolation, splines, numerical integration, numerical differentiation, solution of linear simultaneous equations, numerical solutions of ordinary differential equations. A grade of C- or better required in ENGE prerequisite 1114. Co: MATH 2214. (3H,3C). This course is cross-listed with ESM 2074

AOE 2104 INTRO TO AEROSPACE ENGINEERING
An overview of aerospace engineering from a design perspective; introductory aerodynamics, lift, drag, and the standard atmosphere; aircraft performance, stability, and control; propulsion; structures; rocket and spacecraft trajectories and orbits.
Pre: ENGE 1114, PHYS 2305. (3H,3C)

AOE 3014 AERO/HYDRODYNAMICS
Two-dimensional potential flow, stream function, velocity potential, flow superposition, circulation and lift, airfoil characteristics. Two-dimensional airfoil theory and panel methods. Three-dimensional lifting line theory and vortex lattice solutions for finite wings. This course is normally taught in the fall semester.
Pre: ESM 2304, AOE 3104 or AOE 3204. (3H,3C)
This course is presently taught by:
Dr. Roger Simpsonhttp://www.aoe.vt.edu/~simpson/aoe3014/

AOE 3024 THIN-WALLED STRUCTURES
Review of mechanics of materials. Stresses in stiffened shell beams. Deformation analysis by energy methods. Multicell beams. Introduction to the matrix stiffness method including truss and beam elements. This course is taught in the fall semester.
Pre: ESM 2104,ESM 2204. (3H,3C)

AOE 3034 VEHICLE VIBRATION AND CONTROL
Free and forced motions of first order system. Free and forced motions of second order systems both undamped and damped. Frequency and time response. Introduction to control, transfer functions, block diagrams, and closed loop system characteristics. Higher order systems. This course is normally taught in the fall semester. It involves three hours of classes per week and is worth three semester credits.
Pre: MATH 2214,ESM 2304. (3H,3C)
This course is presently taught by:
Dr. Craig Woolseyhttp://www.aoe.vt.edu/~cwoolsey/Courses/AOE3034/

AOE 3044 BOUNDARY LAYER AND HEAT TRANSFER
Concepts of viscous flows and physical properties equations of laminar motion with heat and mass transfer; exact and approximate solutions; finite-difference methods; transition to turbulence; analysis in turbulent flows. Conduction and convective heat transfer. This course is taught in the fall semester.
Pre: AOE 3014,ME 3134,MATH 4564.(3H 3C)

AOE 3054 EXPERIMENTAL METHODS
Principles of measurement and design of measurement systems; standards, accuracy, uncertainty and statistical concepts. Detectors, transducers, and instruments for aerospace and ocean engineering. Signal conditioning systems and readout devices; digital data acquisition principles. Laboratory experiments in instrumentation and transducers, structural analysis; and subsonic aerodynamics. This course is taught in the spring semester.
Pre: AOE 3014, AOE 3024, AOE 3034.(1H,6L,3C)
This course is presently taught by:
Dr. William Devenporthttp://www.aoe.vt.edu/~devenpor/aoe3054/

AOE 3094 AOE MATERIALS (MSE 3094)
Materials in Aero. and Oceanic Sys. (MSE 3094) This course introduces the non-MSE student to the science and engineering of materials, with specific emphasis on their role in establishing the selection, design, and performance characteristics of materials for aerospace structures. The behavior of metals, ceramics, polymers, and composites are introduced to address the wide range of material requirements inherent to these applications. This course is taught in Spring and Summer semester.
Pre: CHEM 1074, Co: ESM 2204, PHYS 2305. (3H,3C).

AOE 3104 AIRCRAFT PERFORMANCE
Performance of aircraft. Analysis of fluid statics and dynamics affecting aircraft performance. Hydrostatics of the standard atmosphere and development of basic equations of fluid dynamics. Lift and drag. Aircraft static performance. Rates of climb, endurance, range, take off and landing, and turn performance. This course is taught in the spring and summer semester.Must have a C- or better in pre-requisites ESM 2104 and co-requisite ESM 2304.
Pre:ESM 2104, Co:ESM 2304
This course is presently taught by:
Dr. James Marchman

AOE 3114 COMPRESSIBLE AERODYNAMICS
Inviscid, compressible gas dynamics. Continuity, momentum and energy equations, shock waves, Prandtl-Meyer expansions. One-dimensional steady and unsteady flow, Rayleigh line, Fanno line, Shock Tubes. Method of Characteristics, supersonic thin airfoil theory and conical flow. This course is taught in the spring semester. Must have C- or better in Prerequisites.
Pre: AOE 3014 and ME 3134. (3H 3C)
This course is presently taught by:
Dr. William Devenporthttp://www.aoe.vt.edu/~devenpor/aoe3114/

AOE 3124 AEROSPACE STRUCTURES
Aspects of structural analysis pertinent to the design of flight vehicles: aeroelastic divergence, environmental loads, aerospace materials, buckling of thinwalled compression members, and introduction to matrix structural dynamics. This course is taught in the spring semester. Must have C- in Prerequisite.
Pre: AOE 3024

AOE 3134 STABILITY AND CONTROL
Equations of vehicle motion. Linearized analysis. Estimation of stability derivatives, longitudinal and lateral-directional static stability, and control requirements. Dynamic characteristics including stability and mode shapes. This course is taught in the spring semester. Must have C- in prerequisite.
Pre: AOE 3034 (3H 3C)
This course is presently taught by:
Dr. Craig Woolseyhttp://www.aoe.vt.edu/~cwoolsey/Courses/AOE3134/

AOE 4065/66 DESIGN
Analysis and design of various space, aeronautical and marine vehicles and systems. AOE 4065 is normally taught in the fall semester and AOE 4066 in the spring semester. It involves two hours of classes and three hours of lab per week and is worth three semester credits. X-Grade allowed. Senior standing required. (2H,3L,3C)
This course is presently taught by:
Dr. Chris Hallhttp://www.aoe.vt.edu/~cdhall/courses/aoe4065
Dr. William Masonhttp://www.aoe.vt.edu/~mason/Mason_f/SD1.html

AOE 4134 ASTROMECHANICS
Application of Newton's Laws to the dynamics of spaceflight. Two-body problem, Kepler's Laws, energy and time relations, orbit specification and determination. Orbital maneuver and transfer, patched conic approximations, relative motion, and elements of optimal maneuvering. This course is taught in the fall semester.
Pre: ESM 2304 (3H 3C).
If students are planning to take "Spacecraft Dyn & Control" in the Spring semester, they must take AOE 4134 in the previous Fall semester.

This course is presently taught by:
Dr. Chris Hallhttp://www.aoe.vt.edu/~cdhall/courses/aoe4134

AOE 4154 AEROSPACE ENGINEERING LABORATORY
Wind tunnel laboratory experiments related to subsonic and supersonic aerodynamics. Continuation of AOE 3054 for Aerospace Engineering students. Writing of technical laboratory reports; design of experiments. This course is taught in the fall semester. It involves three hours of lab per week and is worth one semester credit.
Pre:AOE 3054, AOE 3114, AOE 3124,and AOE 3134. (3L,1C)
This course is presently taught by:
Dr. Roger Simpsonhttp://www.aoe.vt.edu/~simpson/aoe4154/

AOE 4234 AEROSPACE PROPULSION SYSTEMS (ME 4234)
Design principles and performance analysis of atmospheric and space propulsion engines and systems. Application of thermodynamics, compressible fluid flow and combustion fundamentals to the design of gas turbine and rocket engines and components, including inlets, turbomachines, combustors, and nozzles. Matching of propulsion system to vehicle requirements. This course is normally taught in the fall semester.
Pre: (AOE 3114, and ME 3134) or ME 3106 and ME 3404 (3H 3C).

AE Electives

AOE 2974 INDEPENDENT STUDY
Variable credit course.

AOE 2984 SPECIAL STUDY
Variable credit course.

AOE 2994 UNDERGRADUATE RESEARCH
Variable credit course.

AOE 3204 NAVAL ARCHITECTURE
Buoyancy of ocean vehicles. Hull geometry, line drawings, coefficients of form. Hydrostatic calculations, development of a computer program for hydrostatic analysis. Review and calculations. Intact and damaged stability of ocean vehicles. Large angle stability. Stability criteria. Viscocity. Stress in a fluid. Basic laws of fluid dynamics. Must have a C- or better in pre-requisites ESM 2104 and MATH 2224.
Pre: ESM 2104, MATH 2224. Co: ESM 2304. (3H,3C).

AOE 3224 OCEAN STRUCTURES
Overview of surface ship, submarine and offshore structural systems, materials and loadings. Application of beam and plate bending and buckling theories. Static and matrix structural dynamic analysis of stresses and deflections. Stress concentration. This course is taught in the spring semester. Must have C- in Prerequisite.
Pre: AOE 3024.(3H 3C)

AOE 3264 RESISTANCE & PROPULSION OF SHIPS
Methods of estimating ship resistance; propulsion devices and their efficiencies; Resistance components; Froude scaling of model test data; Methodical series; Planing hulls; Propellers; Waterjets; Propeller design; Computer methods; Advanced marine vehicles.
Pre: 3204, 3014.(3H 3C)

AOE 4004 Computer-Aided Control System Design
Computer-aided design and analysis of control systems for high-order linear systems. Stability and performance design criteria. Root locus, PID, lead/lag, and pole-placement design methods. Introduction to modern state-space modeling methods. Design problems involving aircraft, ship, space, and ground-vehicle systems. Pre: 3034. (3H,3C)
This course is presently taught by:
Dr. Craig Woolseyhttp://www.aoe.vt.edu/~cwoolsey/Courses/AOE4004/

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 4034 COMPUTATIONAL STRUCTURAL ANALYSIS
Static and vibratory response of framed structures. The matrix eigenvalue problem for buckling and free vibrations. Static response of laminated composite plates by the finite element method.
Pre AOE 3124 or AOE 3224.(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 4164 SPECIAL TOPICS IN VEHHCLE PERFORMANCE
Three dimensional point-mass equations of motion over flat and spherical Earth. Aerodynamic and propulsive modeling. Numerical integration of equations of motion. Analytic approximations and solutions. Energy state models. Advanced topics.
Pre: 3104, 3134, (3H,3C).

AOE 4174 (ME 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 4184 DESIGN AND OPTIMIZATIONOF COMPOSITE STRUCTURES (ESM 4184)
Design aspects of laminate constitutive relations, coupling and decoupling of in-plane and out-of-plane elastic response. Tailoring of laminated composite materials to meet design requirements on stiffness and strength through the use of graphical and numerical optimization techniques. Introduction to integer programming: branch-and-bound method and genetic algorithms. Stacking sequence design of laminated composite beams and plates via integer programming.
Pre: AOE 3024, CE 3404, or ESM 3084. (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 4244 MARINE ENGINEERING (ME 4244)
Analysis of major ship propulsion devices (propellers, water jets). Integration with propulsion plant and machinery. Characteristics of marine steam turbines, nuclear power plants, marine diesels, and marine gas turbines. Shafting system, bearings, and vibration problems. This course is normally taught in the Spring semester.
Pre:AOE 3204, ME 3134. (3H 3C).

AOE 4254 OCEAN ENGINEERING LABORATORY
Continuation of AOE 3054 for Ocean Engineering students using facilities and instrumentation pertinent to ocean engineering. Writing of technical laboratory reports; design of experiments. This course is normally taught in the fall semester. It involves one hour of lecture and two hours of lab per week and is worth one semester credit.
Pre: AOE 3054, AOE 3264. (1H,2L,1C)

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 4334 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)

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 4974 INDEPENDENT STUDY
Variable credit course.

AOE 4984 SPECIAL STUDY
Variable credit course.

AOE 4994 UNDERGRADUATE RESEARCH
Variable credit course.

AOE Courses 

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Virginia Tech Department of Aerospace & Ocean Engineering
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