地震动反演及参数识别的广义统计平均法

针对结构参数未知条件下的地震动反演或基底输入未知时的结构系统参数识别问题进行研究.依据地震作用的力学性质可以转化为一类关于估计输入的修正条件，并考虑到动力方程中的相对量与测量中的绝对量之间的关系，依据统计平均的思想，具体讨论了地震动反演及参数识别的广义统计平均法的实现步骤，形成新的迭代过程.该迭代过程在给出识别参数的同时，也反演得到了地震动时程，其核心意图是将地震动的影响计入测量信息中去.理论分析及算例表明了该算法的可行性、有效性、实用性、稳定的收敛特性和良好的反演效果.

Statistical average algorithm for earthquake dynamic inverse analysis and parameter identification

Aiming at earthquake dynamic inverse analysis and parameter identification without input information,an iterative procedure based on the mechanical characteristic of ground motion,the relationship between relative magnitude and absolute magnitude in dynamic equation,and statistical average were developed for input process and structure parameters.The key of the iterative procedure is that the effect of earthquake excitation is taken account into the measuring information.The validity of the algorithm has been proved by both theoretical analysis and numerical example,which make the utilization of this algorithm more reasonable.