【摘要】 微分求积法(DQ法)是一种高精度,高计算效率的微分方程数值求解方法。该文采用微分求积法进行了结构弹塑性地震反应分析。针对结构弹塑性地震反应分析的特点,对于采样周期内地震加速度记录的增量分布做了线性假定,采用了一种新型的不等距的时间网格并在新的网格上实施DQ算法。对于拐点的处理则提出了一种简单的迂回处理方法,可以方便地利用现有研究成果来完成DQ方案中拐点的处理。数值算例的结果表明:采用微分求积法求解结构弹塑性地震反应可以达到较高的计算精度并且可以从两个方面提高计算效率。更多还原

【Abstract】 Differential quadrature method(DQM) is a numerical approach to solve differential equations with high accuracy and high computation efficiency.And it is applied to finish structural elasto-plastic seismic response analysis.According to the properties of a structural elasto-plastic seismic response analysis,the increment distribution of a seismic acceleration in a sampling period is assumed as a liner distribution.DQM is applied by using a new non-equal time grid.A simple and non-direct procedure is used for the treatment of critical points;it can utilize the normal methods for treating critical points conveniently.Numerical experiments are carried out.The results show that it can gather high accuracy by using DQM to analyze the structural elasto-plastic seismic responses.And the efficiency can be improved in two ways.更多还原