非対称な確率分布に従う非ガウス性不規則入力を受ける線形系の過渡応答特性

抄録

In the previous study, the stationary and transient response distribution of a linear system subjected to non-Gaussian random excitation with a symmetric probability distribution was investigated. It was revealed that the response distribution is strongly dependent upon the bandwidth of the power spectrum of the non-Gaussian excitation. Furthermore, it was also found that in the transient response distribution, some characteristics not observed in the stationary one exist. On the other hand, in real engineering fields, there are many excitations with an asymmetric distribution such as road roughness and shallow water wave. Therefore, in this research, in the case of non-Gaussian random excitation with an asymmetric probability distribution, the transient response distribution and moment are examined by using Monte Carlo Simulation. As the probability distributions of non-Gaussian excitations, gamma and lognormal distributions are adopted because the shape of these distributions is much different from a Gaussian distribution and is also different from each other. For these excitation distributions, the characteristics of the response distribution are examined. In addition, we observe variance,skewness and kurtosis of the response to investigate the time variation of the response distribution in more detail.