计算力学学报2017，Vol.34Issue(1)：43-48,6.DOI:10.7511/jslx201701005
非匹配结点的有限单元等参插值方法及其应用研究
Research on isoparametric interpolation for finite element with non-matching nodes and its application
摘要
Abstract
The non-matching nodes on the contact interface of two heterogeneous meshes can cause discontinuous transition of the nodal property.Aiming at this problem,the isoparametric interpolation method for finite element with non-matching node is proposed in this paper,it can realize continuous transition of the nodal property on the interface of the two meshes by constructing the new shape functions of the non-matching nodes and fixing the shape functions of the other nodes,which can limit the effect of nodal property to local minimal areas.This method is validated correctness and efficiency by an experiment that the nodal property having a continuous transition on the interface between two heterogeneous meshes with quadrilateral elements,and it has already been used to analyze the contact effect between meshing gears,the results of this method highly agree with the theoretical calculation.关键词
等参插值/非匹配结点/异构网格/有限元分析Key words
iso-parametric interpolation/non-matching node/heterogeneous mesh/the finite element analysis分类
信息技术与安全科学引用本文复制引用
方锡武,贾丙辉..非匹配结点的有限单元等参插值方法及其应用研究[J].计算力学学报,2017,34(1):43-48,6.基金项目
国家自然科学基金(51405222) （51405222）
南京工程学院引进人才科研启动基金(YKJ201402)资助项目. （YKJ201402）
