中文摘要：

本文对现有的常用地震动空间相干模型进行了总结，提出了一个新的面向工程抗震设计应用的形式统一的地震动空间相干函数模型，在此基础上推导出了多点地震反应谱和功率谱计算所需要的振型组合系数的解析表达式，避免了耗费时间的数值积分运算。本文模型与计算方法使多点地震激励下结构响应的计算时间减低至积分方法的1／20以下，使多点地震反应谱方法和多点地震功率谱方法在计算时间方面实用化。

英文摘要：

The spatial coherence models of seismic ground motion the basis of previous models by a fitting procedure. The newly p are summarized, and a new model is proposed on roposed model has a unified mathematical expression. Using the proposed spatial coherence model, the analytical expressions of combination coefficients are deduced for power spectrum methods and response spectrum methods under multi-support seismic excitations. The numerical results of an example bridge show that the analytical coefficients deduced in this paper is accurate enough to meet the seismic design＇s requirements. Meanwhile, the computation consumption for seismic response of structures under multi-support excitations is reduced to 1/20 lower than that of the integral methods.