求解结点应力的一种新方法  

A new method about solving node stress

作　　者：娄忆清[1] 翁晓红[1] 李芳[1] 

机构地区：[1]浙江工业大学机电学院,浙江杭州310032

出　　处：《浙江工学院学报》2003年第3期297-300,共4页

摘　　要：在结构有限元分析中 ,对于利用数值积分的曲边单元 ,经验表明在高斯积分点上算得的应力具有最好的精度。然而 ,工程上通常感兴趣的是边缘和结点上的应力。一般地 ,单元角结点应力可由现成公式求解 ,而单元边中结点应力则取相邻角结点应力的平均值。为了拓展这种方法 ,本文推出直接通过高斯积分点应力求解单元上任意结点处应力的公式 。In structural analysis by finite element method, experience shows that the stress at Gauss integral points posses the best precision for curve element using numerical value integral. Nevertheless, in the engineering we are generally interested in the stress on the edge or at the nodes. Generally, the stress at the corner nodes of an element can be solved by the ready-made formula, and the stress at the middle nodes on the edge is equal to the average of the neighboring stress at the corner nodes. To extend the method, the paper provides the formula that can be used to solve any node stress by Gauss integral points, and it shows the effectiveness and precision of the method by use of examples.

关 键 词：结点应力 求解公式 结构有限元分析 数值积分 最小二乘修匀 高斯点 单元角结点 

分 类 号：O343.4[理学—固体力学]