A marginal fractional moments based strategy for points selection in seismic response analysis of nonlinear structures with uncertain parameters

详细信息    查看全文

• 作者：Jun Xu^a ; ^b ; ^{xujun86@hnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Ding Wang^c ; ^{wangding@ysu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Chao Dang^d ; ^{chaodang@outlook.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Probability density evolution method ; Points selection ; Marginal fractional moments ; Random variables ; Nonlinear structures ; Seismic dynamic response
• 刊名：Journal of Sound and Vibration
• 出版年：2017
• 出版时间：20 January 2017
• 年：2017
• 卷：387
• 期：Complete
• 页码：226-238
• 全文大小：1992 K

文摘

The present paper proposes a new strategy for selecting representative points in the probability density evolution method (PDEM) to conduct stochastic seismic response analysis of nonlinear structures with uncertain parameters. In PDEM, the strategy for selecting representative points in random-variate space is of critical importance to the efficiency and accuracy. The proposed strategy is established based on the marginal fractional moments of input random variables, which can be evaluated both analytically and numerically without difficulty before performing stochastic analysis. In this strategy, an optimization problem is actually involved. First, the initial points are generated by a low discrepancy sequence and the corresponding assigned probabilities can be computed accordingly. Then, the initial points are rearranged to minimize the index, which is adopted as the maximum relative error between the estimated marginal moments and the exact ones. The rearranged points are accepted as the representative points in PDEM when the index reaches the prescribed tolerance. Numerical example is investigated, showing that the proposed strategy can achieve the good tradeoff of efficiency and accuracy in PDEM for seismic response analysis of structures with uncertain parameters.