AM 7250 - Random Vibrations

Topics include a review of probability theory; stochastic processes, with an emphasis on continuous, continuously parametered processes; mean square calculus, Markov processes, diffusion equations, Gaussian processes, and Poisson processes; response of SDOF, MDOF, and continuous linear and nonlinear models to random excitation; upcrossings, first passage problems, fatigue and stability the considerations; Monte Carlo simulation, analysis of digital time series data, and filtered excitation models. Cross-listed as CE 7750. Prerequisite: Background in probability theory and vibration analysis.

Credits: 3