非匹配结点的有限单元等参插值方法及其应用研究

针对两零件的异构网格单元结点在接触界面不能相互匹配导致结点属性不能连续过渡和传递的问题,提出非匹配结点的有限单元等参插值方法,通过构建非匹配结点的形函数和修正原结点的形函数,将结点属性值的影响范围限制在可控的局部区域,从而实现两异构网格结点属性在接触界面的连续过渡和传递。通过两个异构的四边形单元网格的结点属性在接触界面的过渡实例和啮合齿轮的接触分析应用,验证了该方法的正确性和有效性。

Research on isoparametric interpolation for finite element with non-matching nodes and its application

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.