An efficient technique to calculate the transient and stationary probability distribution functions (PDF) of the response of SDOF oscillators with piecewise continuous nonlinearities is presented. The method compares favorably with previous methods in reproducing stationary distributions and chaotic attractors, but further work is needed in calculating Lyapunov exponents to the desired accuracy.

Volume Subject Area:
20th Biennial Conference on Mechanical Vibration and Noise
Topics:
Steady state, Transients (Dynamics), Attractors, Statistical distributions
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