最大応答の期待値および標準偏差に関する統計的評価法

概要

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A stochastic method is proposed to estimate root mean square (RMS) response, expectation and standard deviation of maximum value of Linear SDOF System under transient condition excited by input motion produced by arbitrary shape power spectrum density function using random vibration theorem. Accuracy of proposed method is certified by comparing with results of Monte Carlo Simulation (MCS). Number of excess to maximum value during duration calculated by MCS is postponed ordinary used value 1. In low frequency, it is nearly equal to 0.6 according to poison process, and with frequency increase it grows. To use feature that probability of excess is close to cumulative probabilistic distribution of maximum value, expectation and standard deviation of maximum response are calculated. In both case input motion is produced by arbitrary shape power spectrum density function and envelope function or evolutionary power spectrum density function, numerical results of expectation and standard deviation for maximum value using proposed method is nearly fit to the results of MCS.
一般社団法人日本建築学会の論文
2008-03-25