中文摘要：

不同于已有的从CAD模型出发构建体参数化模型的思路,为了进行等几何分析,从二维有限元四边单元网格模型出发,重建该网格模型对应的参数化模型.首先利用现有CAE软件生成有限元四边单元网格模型;然后进行网格预处理提取单元之间的拓扑信息,并依据规则实现网格单元规范合并、子域自适应合并、子域边界生成等操作,生成多个零亏格四边子域;最后利用边界插值算法和内点优化算法实现子域参数化.通过多个实例验证了文中算法的有效性;为有限元网格到体参数化模型的转换提供了技术支持,进而为实现海量的CAE模型参数化及其等几何分析提供了一条便捷的途径.

英文摘要：

Different from the existing idea that starts from CAD model to construct parametric model,thisarticle starts from the two-dimensional four-sided finite element model to reconstruct the corresponding parametricmodel to adapt for Isogeometric Analysis(IGA).Firstly,the finite element model of quadrilateralmeshes is generated by the existing CAE software.Then,the topology information between quadrilateralmeshes is extracted through preprocessing.And according to some rules,several zero genus quadrilateralsubdomains are generated through a series of operations done on subdomains including normal merging,adaptive merging and boundary creating.Finally,the parameterization of the subdomains is realized by usingboundary interpolation algorithm and optimization algorithm for inner control points.The effectiveness ofthe proposed algorithm in this paper is verified by a few examples.Our method provides the technical supportfor the conversion of the finite element mesh and the parametric model for IGA,thus providing a convenientway to realize the volume parameterization and IGA of the massive CAE model.