微分求积单元法在结构工程中的应用  

Application of Differential Quadrature Element Methodin Structure Engineering

作　　者：聂国隽[1] 仲政[1] 

机构地区：[1]同济大学固体力学教育部重点实验室,同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2005年第3期423-427,共5页Chinese Quarterly of Mechanics

基　　金：同济大学理科科技发展基金资助项目(TJLK0413);国家杰出青年科学基金(10125209)

摘　　要：微分求积法(DifferentialQuadratureMethod)是求解偏微分方程和积分—微分方程的一种数值方法,该法具有计算简便、精度较高和易于实现等优点。微分求积单元法(DifferentialQuadratureElementMethod)是在微分求积法的基础上结合区域分割和集成规则而形成的一种新的数值计算方法,能通过自适应地选取微分求积网点数目正确模拟构件的刚度和荷载性质,其精度可通过细分单元或增加离散点数目加以提高。微分求积单元法是一种可供选择的、性能优越的数值计算方法。本文将详细论述这一数值方法的基本原理,并通过数值算例说明该方法的应用过程及其优越性,为这一方法在结构工程中的推广应用提供参考。Differential quadrature method is a numerical solution techniques for partial differential equations and integro-differential equations. And it combines the advantages of simple and convenient calculation, high accuracy and easy implementation. Based on the differential quadrature method and the finite cutting and integrated techniques, Differential quadrature element method （DQEM） was established. By adaptively selecting the discrete point, it can reflect the characteristic of stiffness and external force of members. And the precision can be improved by subdividing members and increasing the number of the discrete points. Differential quadrature element method is an alternative numerical solution techniques. The basic principle of this method and the application in structure engineering were discussed. The numerical result demonstrates DQEM, and the reference for the application of this method is provided.

关 键 词：微分求积单元法 微分求积法 结构工程 

分 类 号：TU32[建筑科学—结构工程]