剪切型非线性滞迟系统随机地震响应的虚拟激励分析

SEISMIC RANDOM RESPONSE ANALYSIS OF NON-LINEAR HYSTERETIC SYSTEMS WITH PSEUDO EXCITATION METHOD

运用虚拟激励法结合等效线性化法分析了剪切型多自由度滞迟系统的平稳随机地震响应 .对于滞迟等效线性系统 ,对每一步迭代不需要求解高阶李亚谱诺夫方程 ,而只须求解一个低阶复系数代数方程即可 ;可以只计算所需要的方差向量 ,因而计算效率较高 .特别是对于较多自由度的滞迟系统 .

The stationary random responses of non linear shear type Multi Degrees of Freedom(MDOF) hysteretic systems are analyzed by using the Pseudo Excitation Method (PEM) combined with the Equivalent Linearization Method (ELM). The solution of the equivalent linear system is obtained by iteratively solving complex algebraic equations instead of the Lyapunov equations. The efficiency of this method is much higher for practical engineering systems with many degrees of freedom.