结构地震响应分析的高斯精细时程积分法  

Guass precise time-integration method for structural seismic response

作　　者：李秀梅[1] 秦荣[1] 王建军[1] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《四川建筑科学研究》2009年第2期182-184,共3页Sichuan Building Science

基　　金：广西科学研究与技术开发计划资助项目(桂科攻0442001桂科攻00592005-1)

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。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.

关 键 词：地震响应分析 时程积分法 高斯积分法 指数矩阵计算 精细积分法 

分 类 号：TU311[建筑科学—结构工程]