The Path Integral Solution Technique Applied to the Random Vibration of Hysteretic Systems

In the paper the path integral solution technique will be described. It is shown how this solution technique can be exploited to provide estimates of the response statistics of nonlinear single-degree-of-freedom dynamic systems excited by white noise or even filtered white noise. The solution technique is singularly well suited to deal with nonlinear systems as there are apparently few limitations on the kind of nonlinearities that can be accomodated. In this paper emphasis is given to the random vibration of hysteretic systems.

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