旋转组合结构的应力分析

Stress Analysis of Composite Structure of Revolution

本文使用“多节点约束方程”实现旋转体单元与壳单元的连接。为克服由于两种单元连接面上的约束过强而产生的附加局部应力,文中提出:用“非完全刚性连接”方法来建立两种单元自由度之间的转换关系,允许旋转体单元在连接处的厚度有变化。基于这一方法,只要把通常的旋转体有限元程序与旋转壳有限元程序联合应用并稍加改造即可计算旋转对称结构的位移场和应力场。算例表明,其计算结果的精度是令人满意的,本文提出的方法是行之有效的。

In this paper the author uses the equations of multi-points constraints to realize the connection of the finite elements of solids of revolution and the elements of shells. In order to eliminate the local stress on the place between solid and shelll elements, produced by the over-strong connection, a 'non-complete rigid'method of connection is suggested to obtain the transformation relation of degrees of freedom between these two kinds of elements, permitting variety of thickness of the solid elements of revolution on the place of connection. Based an this method, the usual programs of finite element method for solids and shells of revolution may be connected together to calculate the deformation and stress fields of the composite structure of revolution. The practical examples show the accuracy of calculation is satisfied and this method is efficient.