非平稳多维多点虚拟激励法的快速模拟方法  

Fast simulation technique for non-stationary multi-dimensional and multi-support pseudo excitation method

作　　者：贾宏宇[1] 郑史雄[2] 阳栋[3] 洪浩[2] 罗楠[2] 

机构地区：[1]西南交通大学土木工程系,四川峨眉614202 [2]西南交通大学土木工程学院,成都610031 [3]同济大学地下建筑与工程系,上海200092

出　　处：《振动与冲击》2013年第18期108-112,132,共6页Journal of Vibration and Shock

基　　金：铁道部科技研究开发计划项目(2010-G018-A-4)

摘　　要：为研究实际地震动非平稳性与空间效应的快速模拟方法,运用绝对位移直接求解非平稳多维多点虚拟激励法,不必将绝对位移分解为拟静力位移项及动力相对位移项,避免求解静力影响矩阵的繁琐;将非平稳激励响应转换为一系列确定性外力作用下运动方程瞬态解,以有限元软件ANSYS瞬态分析模块为平台,在结构有限元模型各支撑处激励方向设置大质量块后,直接将地震虚拟激励荷载施加于大质量块,实现绝对位移求解动力方程,提高随机振动响应计算效率,高效地在通用有限元软件中实现多维多点非平稳虚拟激励法,避免自编程序的繁琐,简化实现方法,使多维多点非平稳虚拟激励法在理论及工程应用中获得进一步拓展。To investigate a fast simulation technique for non-stationarity and spatial effects of actual ground motion, the equations of motion of a system were solved directly using absolute displacements not to decompose absolute displacements into quasi-static displacements and dynamic relative ones, and to avoid solving a static influence matrix. The responses to non-stationary excitations were converted into transient solutions of the equations of motion of a system under a series of deterministic external force actions. The transient analysis module of the FE software ANSYS was taken as a platform, large masses subjected to earthquake pseudo excitation loads were put on supports of a FE model of a system, and then its dynamic equations were solved with absolute displacements. The studying results showed that using the proposed fast simulation technique, the computing efficiency of random vibration responses can be improved, the nonstationary multi-dimensional and multi-support pseudo excitation method can be realized effectively using the generalpurpose FE soft ware ANSYS not to self-write a code.

关 键 词：虚拟激励法 多维多点 非平稳性 绝对位移 静力影响矩阵 

分 类 号：TU311.3[建筑科学—结构工程]