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Published March 1, 1968 | public
Journal Article Open

Response of the Bilinear Hysteretic System to Stationary Random Excitation

Abstract

Time-average statistics of the response of the bilinear hysteretic system to an excitation with approximately white-power spectral density and approximately Gaussian probability distribution are determined, using electronic-analog techniques. Results are presented for the mean-squared amplitude, the power spectral density, and the probability distribution of the response. The applicability of the Krylov-Bogoliubov method of equivalent linearization to this problem is investigated by comparing predicted and experimentally measured values of the mean-squared level of response.

Additional Information

©1968 Acoustical Society of America. (Received 2 May 1967) A portion of this work was supported by a grant from the National Science Foundation.

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August 21, 2023
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