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摘要：提出了一种多体系统冲击响应谱分析法，以一个基础受加速度冲击刚柔系统为例，详细阐述了该方法的理论基础，主要为：首先利用传递矩阵法求得系统任意点的状态矢量和系统振型；建立系统相对基础运动微分方程，进而建立系统的体动力学方程，利用系统增广特征矢量的正交性求得广义坐标，结合速度冲击谱的定义获得各模态最大响应，最后经各模态响应合成得到系统的冲击响应时间历程。用一个具体工程实例，通过与一般力学解析方法、有限元冲击响应谱分析法结果的对比验证了所提方法的有效性。

Abstract: A shock response spectrum method for multi-body systems was presented. Take a rigid-flexible-multi-body system under base shock excitations for example, the theoretical foundations of that method were described, including: firstly, to obtain the system state vectors and natural modes by transfer matrix method; secondly, to build differential equations of system bodies in a coordinate relative to base, and then to decouple equations by the orthogonal of augmented eigenvectors, the maximum responses in each modes were thus obtained by the definition of shock spectrum; lastly, the time –varying responses were obtained by mode combination. The utility and validity of the proposed method were confirmed by an application example at last.