一个分析与计算曲面结构的有效方法

给出了一种分析计算CAD曲面模型的数值方法。该方法将构成CAD模型的曲面片视作计算单元(面素单元),建立各面素单元的控制方程,再结合CAD曲面模型的流形特征组装各个单元控制方程以求整体解。面素单元的控制方程可根据问题的求解目标分别利用有限元—边界元耦合、有限元—无单元及其他耦合形成。结合线弹性问题的求解,系统地介绍了面素单元法的单元划分与处理、单元控制方程建立等核心环节。还给出了一个分析三倒圆过渡面静载荷变形的实例及其与ANSYS对照的结果。

An Efficient Numerical Method to Compute and Analyze CAD Surface Model

This paper presents a numerical method to compute CAD surface models.The method first divided a CAD model into a sequence of subfields,each of which is a simple surface-patch of the CAD model.Then,by setting up the governing equations for the patch-element,it computed the total field by assembling governing equations of all subfields into the global equations of the total field according to the manifold structure of the CAD model.The element's governing equations can be formed by coupling finite element(FE) with boundary element(BE),and FE with element free(EF) or else according to the objective of the computed problems.The paper systematically demonstrates the key procedures of selecting elements and setting up governing equations via a solution process of linear elastic problems.A numerical example with comparison to ANSYS computation is shown in the analysis of deformation on a blending surface of three-rounded corner.Finally the static loads are presented before the paper comes to an end.