微分求积方法在弹性力学空间轴对称问题中的应用

上海大学学报(自然科学版)

微分求积方法在弹性力学空间轴对称问题中的应用

李莹;程昌钧

1. 上海大学上海市应用数学和力学研究所，上海 200072； 2. 上海大学理学院，上海 200444

收稿日期:2006-03-29 出版日期:2007-02-28 发布日期:2007-02-28

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

LI Ying;CHENG Chang jun

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Universit y, Shanghai 200072, China; 2. School of Sciences, Shanghai University, Shanghai 200444, China

Received:2006-03-29 Online:2007-02-28 Published:2007-02-28

摘要/Abstract

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.

关键词: 固有频率, 空间轴对称问题, 微分求积方法

Abstract: 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 numer ical results is considered when different spacing points are adopted. Comparison between the results and those obtained from FEM shows that the differential qua drature method has some merits such as higher accurate, good convergence, few gr id points and calculation workload.

Key words: natural frequency, space axial symmetry problem, differential quadrature method

李莹;程昌钧. 微分求积方法在弹性力学空间轴对称问题中的应用[J]. 上海大学学报(自然科学版).

LI Ying;CHENG Chang jun . Application of Differential Quadrature Method to Space Axial Symmetry Problems in Elasticity[J]. Journal of Shanghai University（Natural Science Edition）.

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