帯域幅を考慮した非ガウス性不規則励振を受ける線形系の過渡応答特性

抄録

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.