【作者】 徐清； 王君杰； 施欣欣； 颜海泉；

【Author】 XU Qing, WANG Jun-jie, SHI Xin-xin, YAN Hai-quan(China Ocean University, Qingdao, 266003, China; State Key Laboratory for Disaster Redaction of Civil Engineering, Tongji University, Shanghai, 200092, China)

【机构】 中国海洋大学； 同济大学；

【摘要】 多点地震动作用下结构随机地震反应的计算十分耗费时问。根据线性结构动力反应计算的振型叠加法,多点地震动作用下结构随机地震反应的计算可以归结为三种相关系数的计算,计算时间也主要耗费在这三个系数的讣算。如果能够得到这些系数的解析表达式,则可以显著降低随机反应的计算时间。本文针对相关系数的计算问题,为推导它们的近似解析表达形式,将地震动空间相关函数的经验表达式、胡幸贤功率谱模型、P。talen-CIOu吵功率谱模型进行了简化处理,根据复变函数论中的留数定理推导出了三个相关系数的近似解析表达式。比较结果表明,本文推倒出的相关系数的近似解析表达式具有良好的精度,可以满足工程计算的要求。本文推导出的三个相关系数的近似解析表达式也可以用于多点地震动作用下结构反应谱的组合计算。更多还原

【Abstract】 The random response computation of structures under multiple-support excitations is a problem of time consumption. The random response of a structure may be expressed based on several correlation coefficients or combination coefficients. The time consumption can be greatly reduce if the coefficients are expressed in closed-form. In this paper, approximate expressions of spatial coherence functions are suggested. Then integrals for the coefficients are carried out analytically, and closed-form expressions of them are obtained. The closed-form expressions are developed for Clough-Penzien’s PSDF and Hu’s PSDF. The numerical results show that the approximate closed-form expressions of correlation coefficients are of enough engineering accuracy. The closed-form expressions of correlation coefficients given in this paper may also be used to complete a practical response spectral combination rule for seismic design under multiple support excitations.更多还原