【摘要】 该文将多刚体系统动力学理论应用于结构的地震响应分析中;将结构进行多刚体离散,建立了结构的多刚体-铰链-弹簧系统模型,并给出了多刚体离散化模型中弯曲弹簧的等效刚度系数的计算公式;运用多刚体动力学推导了求解结构地震响应的动力学方程,该方程与传统动力学方程的形式相似,可用一般的数值方法求解。该文最后对一单榀建立墙以及一10层剪力墙结构进行了地震响应的时程分析,并将计算结果与有限元方法计算结果进行了比较,两种方法的误差较小。算例结果表明,该文所提出的多刚体动力学用于结构地震反应分析的方法是可行且有效的。更多还原

【Abstract】 The dynamics theory of multi-rigid body systems was used for analyzing the earthquake response of structures. Based on the multi-rigid body discretization model, a chain multi-rigid body-hinge-spring system model of structures was presented. The calculation formulas of the stiffen coefficients of equivalent springs were then given and the dynamic equations for the earthquake response of structures were derived by the dynamics of multi-rigid body. It is found that the dynamic equation of this method is similar to that of the traditional equation in formulation, and the equation can be solved by the ordinary numerical method. The earthquake responses of a piece of shell wall and a ten-story shell wall structure were analyzed by the method provided in this paper. The analytical results agree well with the results calculated by the finite element method. The numerical results show that this method, applying the dynamics of multi-rigid body to seismic analysis of structures, is feasible and effective.更多还原