Dimensional analysis is applied to study the pounding response of two inelastic multidegree of freedom (MDOF) structures under simplified earthquake excitation. The forces and deformations of the collision processes are simulated by adopting the improved Kelvin pounding model. The inelastic characteristics of MDOF structures are described by the bilinear interstory resistance model, and the representations of dimensionless impact force and the dimensionless motion equation in the pounding process are derived. On the basis of the above-mentioned theoretical deduction, the superiority of the improved Kelvin model is verified by comparing the impact response of the improved Kelvin model and the Kelvin model. Finally, the validity of the proposed theoretical method is further proved by the comparison between results from the shaking table tests of adjacent four-story and three-story steel frame structures and the corresponding numerical results obtained by the MATLAB program.

中文翻译：

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基于量纲分析的相邻非弹性多自由度结构冲击响应的理论与实验研究

应用量纲分析研究两个非弹性多自由度 (MDOF) 结构在简化地震激励下的冲击响应。采用改进的开尔文冲击模型模拟碰撞过程的力和变形。采用双线性层间阻力模型描述多自由度结构的非弹性特性，推导出无量纲冲击力的表示和冲击过程中的无量纲运动方程。在上述理论推论的基础上，通过对比改进开尔文模型和开尔文模型的冲击响应，验证了改进开尔文模型的优越性。最后，