微分求积方法在弹性力学空间轴对称问题中的应用  

Application of Differential Quadrature Method to Space Axial Symmetry Problems in Elasticity

作　　者：李莹[1] 程昌钧[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《上海大学学报（自然科学版）》2007年第1期55-61,共7页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(50278051);上海市重点学科建设资助项目(Y0103)

摘　　要：在简单介绍微分求积方法(DQ方法)基本原理的基础上,给出了线性弹性力学空间轴对称问题在静态和自由振动两种情况下的DQ离散化方程,并进行了数值计算.考察了网格点的不同取法对计算结果的影响,同时,也将所得的结果与有限元方法的计算结果进行了比较.可以看到,DQ方法具有节点少、精度高、计算量小和收敛快等优点.Based on the principle of differential quadrature method （DQM）, the DQ discretization equations of space axial symmetry problems in elasticity in two cases of static state and free vibration are derived, and numerical calculations are implemented in the present paper. The effect of spacing points on the numerical results is considered when different spacing points are adopted. Comparison between the results and those obtained from FEM shows that the differential quadrature method has some merits such as higher accurate, good convergence, few grid points and calculation workload.

关 键 词：微分求积方法 空间轴对称问题 固有频率 

分 类 号：O343[理学—固体力学]