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Published November 1963 | public
Journal Article Open

Equivalent Linearization Techniques

Caughey, T. K.


The method of equivalent linearization of Kryloff and Bogoliubov is generalized to the case of nonlinear dynamic systems with random excitation. The method is applied to a variety of problems, and the results are compared with exact solutions of the Fokker-Planck equation for those cases where the Fokker-Planck technique may be applied. Alternate approaches to the problem are discussed, including the characteristic function method of Rice.

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©1963 Acoustical Society of America


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August 21, 2023
October 16, 2023