AA 312: Structural Vibrations Winter 2005 MTWF 8:30-9:20, Gug. 317

Grading: Homework - 30%,    2 Quizzes - 20% each,    Final Exam - 30%

Course Description

Prerequisites: Dynamics -- ENGR 230, Vector analysis -- MATH 126, Introduction to differential equations -- MATH 307

Topics:

1. Single-degree-of-freedom systems: modeling, free vibration of undamped and damped systems
2. Forced vibration of single-degree-of-freedom systems to harmonic excitation: Laplace transform
3. Forced vibration of single-degree-of-freedom systems to general dynamic excitation: convolution integral, integration method.
4. Multiple degree-of-freedom systems
5. Free vibration of multiple degree-of-freedom systems: normal frequencies and modes
6. Eigenvalues and eigenvectors: matrix orthogonality; numerical computation
7. Forced vibration of multiple degree-of-freedom systems
8. Distributed-parameter systems: modeling, longitudinal and torsional vibrations; transverse beam vibration, vibration of plates and membranes

1. Roy R. Craig, Jr, "Structural Dynamics: An Introduction to Computer Methods," John Wiley & Sons, Inc., 1981.
2. W.T. Thompson and M.D. Dahleh, "Theory of Vibrations with Applications," 5th Ed., Prentice-Hall, Englewood Cliffs, New Jersey, 1998.
3. G.V. Berg, "Elements of Structural Dynamics," Prentice-Hall, Eaglewood Cliffs, New Jersey, 1989.
4. S. Graham Kelly, "Fundamentals of Mechanical Vibrations," Second Edition, McGraw Hill, 2000.