中文摘要：

对多点输入反应谱计算公式中的相关系数进行了简化,简化从频响函数和积分的特性两方面进行.首先将Hi（ω）Hj（ω）^＊写成实部与虚部和的形式,然后根据积分的特性,将相关系数中的积分次数由原来的i×j×k×l次（i、j为结构的振型个数;k、l为结构的支承点个数）减少到5×j×k×l次,仍为精确解,且计算时间大大缩短,使多点输入反应谱法的推广应用成为可能.

英文摘要：

The coherency coefficients in the multi-support response spectrum analysis are modified from two aspects： the characteristics of the frequency response function and the integral. First of all, Hi（ω）Hj（ω）^＊ is separated into real and image components .Then, according to the integral characteristic, the integration layers of the coherency coefficients Pijkl are reduced from i×j×k×l （i, j are the numbers of the vibration mode; k, l are the numbers of the support） to 5×j×k×l, which shortens the calculated time but it is still accurate. The simplification makes the multi-support response spectrum analysis easier to conduct.