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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。
In this paper, the theory of multi-rigid-body system dynamics is applied to the seismic response analysis of structures. The multi-rigid-body structure of the structure is discretized and a multi-rigid-hinge-spring system model of the structure is established. The calculation formula of the equivalent stiffness coefficient is deduced. The dynamic equation for solving the seismic response of the structure is deduced by using multi-body dynamics. The equation is similar to the traditional dynamic equation and can be solved by the general numerical method. In the end, the time history analysis of seismic response of a single wall and a 10-story shear wall structure is made. The calculated results are compared with those of the finite element method. The errors of the two methods are small. The results show that the multi-body dynamics proposed in this paper is feasible and effective for structural seismic response analysis.