基于精细积分算法的结构地震反应计算方法

Method used to calculate the seismic response of structure based on the accurate intergration method

对于结构地震反应的计算问题,数值计算方法的使用非常重要,根据钟万勰提出的精细积分算法思想,对基于精细积分算法的结构地震反应计算方法进行了严密的推导并对它作了一些改进,给出了地震运动作用下计算结构速度和加速度反应的显式递推公式,对其进行了编程实现,以一个简单的框架结构地震反应分析为例,与常用的Wilson-θ法的计算结果进行了对比,验证了该精细积分算法在结构地震反应计算中的可行性和精确性。

The numerical calculation methods are very important in analysing the seismic response of structure. In this paper, based on the accurate integration method advanced by prof. ZHONG Wan-xie recently, the seismic response of structure is further deduced in detail. At the same time, the method is improved and the successive computation formulas are presented to calculate the velocity and the acceleration. The method is used to calculate the seismic response of a simple frame-structure. The values calculated by this method are more accurate than that obtained by the Wilson- θ method. It has been proved that the accurate integration method is accurate and feasible to calculate the frame-structure.