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Published July 1996 | public
Journal Article

Approximate Solutions for Nonlinear Random Vibration Problems

Abstract

Two methods are described for obtaining approximate solutions to non-linear random vibration problems. The first method approximates the non-linear system with the linear system whose corresponding probability density function best solves the Fokker-Planck equation associated with the non-linear system. In the second method, a class of non-linear systems with known solutions to the Fokker-Planck equation is used to best approximate the non-linear system of interest. Two illustrative examples are presented and the results are compared with existing methods.

Additional Information

Copyright © 1996 Elsevier Science Ltd. The authors wish to thank Dr T. K. Caughey and Dr C. Papadimitriou for their helpful comments. We also thank Dr G. Q. Cai for the simulation results used in Section 6.

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023