The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2018
Session ID : 153
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Transient Response Characteristics of Linear Systems Subjected to Non-Gaussian Random Excitation with a Wide Range of Bandwidth
*Takumi KOBAYASHIKenta TAKEUCHITakahiro TSUCHIDAKoji KIMURA
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Abstract

We investigate the transient response of a linear system subjected to non-Gaussian random excitation.The excitation considered in this study is prescribed by probability density function and power spectrum with bandwidth parameter. Two kinds of the probability density functions of the excitation are taken into consideration, i.e., bimodal distribution and Laplace distribution. First, a stochastic differential equation is constructed using the probability density function and the power spectrum, and the excitation is generated by solving it numerically. Then, using the generated excitation, the transient response distribution of the system is calculated by Monte Carlo simulation while changing the bandwidth parameter and probability density function of the excitation. Likewise, the transient response variance and kurtosis are also calculated. Based on these calculation results, we discuss the transient response characteristics from the viewpoint of the transient response distribution, variance and kurtosis. It is shown that dynamic behavior peculiar to the transient response which cannot be seen in the stationary response exists.

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© 2018 The Japan Society of Mechanical Engineers
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