多重网格方法求解结构动态响应中的几种不同循环算法的比较  

Comparison of different circulative algorithms in solving structure dynamics response by multi-grid method

作　　者：郭学东[1] 魏健[1] 张淼[1] 

机构地区：[1]吉林大学交通学院,长春130022

出　　处：《吉林大学学报（工学版）》2009年第6期1527-1531,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：高等学校博士学科点专项科研基金项目(20060183072)

摘　　要：利用多重网格方法能将网格离散过程和数值求解过程充分结合的特性,将多重网格方法应用于结构动响应的求解,编制了多重网格求解程序,并通过算例对程序的正确性进行了验证。分别应用不同的多重网格循环算法,应用该程序计算薄板的动响应,得出多重网格方法具有精度高、收敛速度快和易于实现的特性。在对几种循环进行比较后,提出了N循环算法,通过算例说明本文提出的N循环算法优于常用的V循环和W循环。Taking full advantage of the multi-grid method to combine the processes of the grid discretion and the solution,the multi-grid method was applied to solving the structure dynamic response problem.A solving program by the multi-grid method was compiled,and the program was validated by calculation cases.Different multi-grid circulative algorithms were applied to calculate the dynamic response of the lamella,showing it was characterized by high precision,rapid convergence,and easy aceomplishment.The comparison by examples of different circulative algorithms indicated that the suggested N circulation algorithm is superior to the commonly used V and W circulations.

关 键 词：计算力学 多重网格方法 结构动响应 有限元分析 循环算法 

分 类 号：TB122[理学—工程力学]