非ガウス性不規則励振を受ける振動系の結合応答分布に関する研究

抄録

In the previous studies, the stationary and transient response characteristics of linear systems subjected to non-Gaussian random excitation were investigated from the view point of the displacement response distribution and velocity response distribution. It was revealed that the probability distribution of the stationary response varies significantly depending upon the bandwidth of the excitation power spectrum. In this paper, we calculate the joint response distribution of the displacement and velocity by Monte Carlo simulation. The non-Gaussian excitation is prescribed by both a probability density function and a power spectrum with bandwidth parameter. In order to find the response characteristics that appear commonly for different non-Gaussian excitations, we consider two kinds of non-Gaussian distributions for the probability distribution of the excitation. Their shapes are much different from a Gaussian distribution and also distinct from each other. For such non-Gaussian random excitations, the joint response distribution is obtained, and the relationship between the response distribution and the bandwidth of the excitation power spectrum is examined in detail.