摘要
针对有限元结构分析中常遇到的单元退化问题,提出移结点法和形函数法两种用于解决含退化单元模型进行位移场插值的方法.研究表明,移节点法通过增加一定数量的结点将退化单元转化为常规单元,可以获得精度较高的位移场.形函数法由于运用体积坐标的形式使得编程简单易行,形状复杂的退化单元由于单元分解会造成一定的精度损失,可以满足工程精度要求,为含有退化单元的混合单元模型进行位移场插值计算问题提供了有效的解决方法和思路.
For the problem of degenerate elements which are often found in structural analysis by finite element method, the method of removing node and the shape function method are presented to deal with the problem of displacement field interpolation that the model contains degenerate elements. The calcu lation example verifies that the method of removing node can obtain a displacement field of high accuracy, through the method of adding nodes and transforming degenerate elements into general elements. Because of the use of volume coordinate in the shape function method, programme can be easily realized. Although accuracy loss will happen because of element decomposing to the degenerate elements with complex figures, the accuracy can satisfy the need of project. These methods offer an efficient way for solving the problem of displacement field interpolation to mixed-element model which contains degenerate element.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2008年第6期16-20,共5页
Engineering Journal of Wuhan University
基金
国家自然科学基金重大研究计划资助项目(编号:90715042)
关键词
退化单元
形函数
体积坐标
位移场插值
degenerate element
shape function
volume coordinate
displacement field interpolation
