结合传递矩阵方法建模灵活和计算效率高的优点，提出了一种基于“传递矩阵”概念的多体系统冲击响应建模和计算方法。以受基础冲击的平面多刚柔系统为研究对象，采用Newmark-β法对元件的方程高阶项进行线性化，用模态方法处理柔体的变形，建立了一般刚体和典型刚体(刚性均质矩形板、带弹性支撑的刚性均质矩形薄板)、一般柔体和典型柔体(Euler-Bernouni梁)的冲击扩展传递矩阵，冲击激励包含平动和转动两种成分，给出了基于Newmark-β法的系统响应数值迭代求解算法程序。用一个工程实例，通过与有限元方法的对比，验证了方法的准确性，得出了转动冲击激励成分对总体响应的贡献不能忽略的结论。方法的研究对象虽然只是平面多刚柔系统，但很容易推广到三维的情况。

A new method was proposed for shock response modeling and computing of planar multi-rigid-flexible body systems by integrating transfer matrix method with its flexibility and high computational efficiency. Adopting Newmark-β algorithm to linearizing high order terms in dynamic equations and modes to express flexible body deformation, extended transfer matrixes of general rigid-body and special rigid bodies (rigid homogeneous rectangular plate, rectangular sheet plate with elastic support), general flexible-body and special flexible bodies (Euler-Bernouni beam) in systems under base-transferred shock were established. The shock excitations include both translational and rotational components. Numerical iterative algorithm program based on Newmark-β was also given. With an engineering example, the accuracy of this proposed method was verified by a comparison with the finite element method. The results also show that rotational component of shock excitations’ contribution to the overall response can not be ignored. Although this study is objected planar multi-rigid-flexible system, it can easily be extended to three-dimensional case.