Published July 1996
| public
Journal Article
Approximate Solutions for Nonlinear Random Vibration Problems
- Creators
- Polidori, David C.
- Beck, James L.
Chicago
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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
- Eprint ID
- 33691
- DOI
- 10.1016/0266-8920(96)00011-2
- Resolver ID
- CaltechAUTHORS:20120829-153106686
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2012-08-30Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field