【摘要】 将结构的位移及速度响应作为状态变量,将高斯积分法与精细积分方法中的指数矩阵运算技巧结合起来,避免了转换矩阵H的求逆问题,减少了转换矩阵H的计算工作量,而且避免了解方程组求解结构速度响应的工作量。整个积分方法的精度取决于所选高斯积分点的数量,理论上可达到任意精度。本文方法计算效率高,稳定性容易满足,数值算例结果显示了方法的有效性。更多还原

【Abstract】 The displacement and speed response of the structure as the state variable.By combining the Gauss integral method with the calculation technique of matrix exponential function in the precise time-integration method,a new Gauss precise time-integration method for structural seismic responses analysis is proposed.This algorithm avoids the inverse matrix calculation and the simulation of the applied earthquake load and improves the computing efficiency.The order of accuracy depends on the quantity of gauss points and can reach arbitrary-order accuracy in theory.This algorithm has high efficiency and good stabilization.A numerical example is given to demonstrate the validity and efficiency of the method.更多还原