结构动力响应的时间有限元全域算法  

A new universal algorithm based on time FEM for dynamic response

作　　者：袁晓彬[1] 董江峰[1] 邱慈长[1] 王清远[1] 

机构地区：[1]四川大学,成都610065

出　　处：《应用力学学报》2010年第3期579-583,共5页Chinese Journal of Applied Mechanics

基　　金：国家杰出青年基金(10925211);国家自然科学基金(10772125);教育部博士点基金资助项目(200806100044)

摘　　要：利用状态方程将二阶结构动力学方程组变成一阶线性微分方程组,并采用加权残值伽辽金法将一阶线性微分方程组离散成线性方程组。该方法是一种全域算法,是真正意义上的时间有限元算法。数值算例表明:该方法有很好的计算精度,与解析解吻合较好。First order differential equation systems are discreted into linear system of equations by Galerkin method. This method is characterized with universal algorithm, which is strictly time FEM in principle. The second order differential equation systems (structural dynamic equations) are transformed into first order differential equation systems by state equations, and are solved by the above algorithm. By comparison with analytic solution, it shows this method is reliable and satisfying.

关 键 词：动力学响应 伽辽金法 状态方程 全域算法 时间有限元 

分 类 号：O332[理学—一般力学与力学基础]