【摘要】 将Newmark-β法中常平均加速度法的基本假定与精细积分法耦合,对积分项的计算引入指数矩阵的Taylor级数展开式,提出了动力方程的显式耦合级数解,设计了相应的时程积分算法,并应用在结构的地震反应分析中。分析表明,由于该方法是显式的,在质量矩阵为对角矩阵时,不需要计算耦联的方程组,因此可以有效地减少内存占用和机时耗费。该方法的稳定性条件显然满足,其精度可根据Taylor级数展开式的截断阶数进行灵活控制。算例表明该方法对地震作用的有效性和适应性。更多还原

【Abstract】 An explicit series solution of the structural dynamic equation is put forward by introducing Taylor series expansion.The algorithm is based on the coupled precise time integration method and basic assumptions of constant average acceleration method in Newmark family.And the method is used to analyze the structural seismic response.With the explicit property,the method requires no computation of the coupled equation and can effectively reduce memory occupancy and computer cost when the quality matrix is diagonal.The stable conditions of the proposed method are obviously to be satisfied and its accuracy can be controlled by choosing the number of Taylor series.The example shows the efficiency of the method on earthquake action.更多还原