轴对称结构的有限元离散法

A DISPERSING METHOD FOR AXISYMMETRICAL STRUCTURES BY FINITE ELEMENT

关键词:  轴对称体  有限元法  预处理

Key words:  Axisymmetric body  Finite element method  Preprocessing

摘要:

介绍一种利用高精度等参环元对轴对称结构进行有限元离散的方法（也可用于平面结构的有限元离散）。这种方法可方便地离散由多种材料构成的复杂轴对你结构，可单向和双向对局部单元加密，可对边界移动和结构间隙问题作有效处理，且可通过离散程序自动优化单元排序以减小总刚度矩阵的规模。离散后的结构可直接用于有限元分析。实践应用表明，该方法离散快速、准确。

Abstract:

A dispersing method for axisymmetrical structures is introduced.The high precise circular isoparametric finite element is used to disperse the structures.The method can automatically divide meshes for complex multilayer structure in a simple way,and can densify locally meshes toward single or double direction in pointed areas,what is more,can minimize the scale of stiffness metrices passing through order of elements being automatically optimized by dispersing process.It is able also to process moving boundaries and changing gaps in structures.The dispersed result can be used in the analyses of finite element directly’.Practical application showes that the dispersing method possesses advantages of rapidily and accuracy.It is applicable for the problems of planar structures too.