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EM 5430: Introduction to Random Vibrations and Nonlinear Dynamics

(Cross-listed with ME 5430).
Credits: 3. Contact Hours: Lecture 3.

Vibrations of continuous systems. Nonlinear vibration phenome, perturbation expansions; methods of multiple time scales and slowly-varying amplitude and phase. Characteristics of random vibrations; random processes, probability distributions, spectral density and its significance, the normal or Gaussian random process. Transmission of random vibration, response of simple single and two-degree-of-freedom systems to stationary random excitation. Fatigue failure due to random excitation. Offered odd-numbered years. (Typically Offered: Spring)