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本文将多刚体系统动力学理论应用于剪切型结构的地震响应分析中，建立了剪切型结构的多刚体离散模型，导出了求解剪切型结构地震响应的动力学方程，指出这一方程具有与传统变形体有限元方法相类似的形式，可用一般的数值方法（本文采用Ｗｉｌｓｏｎ－θ法）求解。据此，本文编制了剪切型结构地震响应的分析程序，以实际震害中倒塌的两栋钢筋砼框架结构房屋为例进行了非线性时程分析，计算结果与震害一致。初步的研究表明，多刚体离散分析方法在建筑结构地震响应的分析中具有良好的应用前景。
In this paper, the theory of multi-rigid system dynamics is applied to the seismic response analysis of shear-type structures. A multi-rigid discrete model of shear-type structures is established, and the dynamic equation for solving the seismic response of shear-type structures is derived, and the equation is pointed out. It has a similar form to the traditional deformable finite element method and can be solved by a general numerical method (Wilson-θ method in this paper). Based on this, an analytical procedure for the seismic response of shear structures was developed. The nonlinear time-history analysis was performed using the two reinforced concrete frame structures collapsed in the actual earthquake damage. The calculated results are consistent with the seismic damage. Preliminary research shows that the multi-rigid body discrete analysis method has a good application prospect in the analysis of seismic response of building structures.