The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2021
Session ID : 101
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An analysis of transient response statistics of a linear system subjected to non-Gaussian random excitation by using higher-order autocorrelation functions of excitation
*Hideto FUKUSHIMATakahiro TSUCHIDA
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Abstract

In the previous study, the stationary and transient response characteristics of linear systems subjected to non-Gaussian random excitation were investigated by Monte Carlo simulation. It was revealed that the response characteristics are strongly dependent upon the bandwidth of the excitation power spectrum. Furthermore, it was also found that in the transient state, the degree of non-Gaussianity of the response caused by non-Gaussian random excitation changes periodically. These response characteristics were examined numerically. For this reason, analytical considerations (e.g. Which terms of the changing periods the response statistics consists of and which of them is dominant?) have not yet been made. Therefore, in this research, the analytical solutions of transient response statistics of a linear system under non-Gaussian random excitation are derived to investigate the response characteristics in detail. In order to derive the analytical solutions, first, the higher-order autocorrelation functions of the random excitation are obtained using the Markov property. Then, using the higher-order autocorrelation functions of the excitation, the transient response statistics are derived based on the convolution integral of the excitation and the impulse response function of a linear system. Finally, the transient response statistics are separated according to the changing periods, and the dominant term and period of the statistics are investigated.

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© 2021 The Japan Society of Mechanical Engineers
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