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在计算大型结构动力、地震响应时,往往要解阶数很高的特征方程,采用子结构方法可将高阶方程组化为若干个低阶方程组求解,为小计算机算大题提供了条件。该法是将结构划分成若干子结构将其内部节点自由度凝聚掉,由于凝聚掉了一定数量的自由度,使对应数量的自振频率被移到无穷大了,即质量被约化,在使用振型叠加法求动位移时,无法考虑它们的影响,结果常常导致较大的误差。本文介绍的修正方法能较好地考虑被约化的质量的影响,提高了使用子结构方法的计算精度。文中较详细地阐述了振型叠加法的修正方法并列举了实例说明此方法的应用效果。
When calculating the dynamics and seismic response of large-scale structures, it is often necessary to solve the characteristic equations with a high order, and the sub-structure method can be used to group high-order equations into several low-order equations to solve the problem. . The method divides the structure into several sub-structures to consolidate the degrees of freedom of its internal nodes. Since a certain number of degrees of freedom are condensed, the corresponding number of natural frequencies is moved to infinity, ie, the quality is reduced. When the vibration mode superposition method seeks the displacement, their influence cannot be considered, and the result often leads to large errors. The correction method introduced in this paper can well consider the effect of reduced quality and improve the accuracy of calculations using substructure methods. In this paper, the correction method of mode superposition method is described in detail and examples are given to illustrate the application effect of this method.