应用数学和力学2025，Vol.46Issue(12)：1501-1514,14.DOI:10.21656/1000-0887.460024
地震作用下桥梁随机振动峰值响应分析的半解析方法
A Semi-Analytical Method for Peak Response Analysis of Bridge Stochastic Vibration Under Seismic Excitation
摘要
Abstract
A semi-analytical method for peak response analysis of first-passage failure of linear structures under stochastic seismic excitation was presented.Based on a multi-modal orthogonal decomposition strategy,the ef-fective decoupling of temporal and spatial variables was achieved,to transform the structural physical stress re-sponse into the efficient modal space solution.The pseudo excitation method was employed to derive analytical expressions for modal response spectral moments under seismic spectrum excitation.Combined with the proba-bility density function of response peaks according to the first-passage failure mechanism,a high-precision and rapid computational model for vibration peak responses was established.In the engineering case of a typical long-span cable-stayed bridge,comparative analysis of stress response peaks for critical components was con-ducted.Numerical results demonstrate that,compared with conventional methods,the proposed approach maintains computational accuracy while improving computational efficiency by 2 orders of magnitude,providing an effective tool for seismic reliability assessment of large-scale engineering structures.关键词
地震反应谱/随机振动/虚拟激励法/首次穿越失效Key words
seismic response spectrum/random vibration/pesudo excitation method/first passage failure分类
数理科学引用本文复制引用
杨柳,毛晨洋,赵岩..地震作用下桥梁随机振动峰值响应分析的半解析方法[J].应用数学和力学,2025,46(12):1501-1514,14.基金项目
国家自然科学基金(11772084) （11772084）
