基于等参变换的车身有限元模型自由变形设计  

Free Form Deformation Design for Auto-body Finite Element Model Based on Isoparametric Transformation

作　　者：刘明增[1] 李宝军[1] 王长生[1] 胡平[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《农业机械学报》2012年第4期15-19,共5页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金重点资助项目(10932003;u0935004);国家重大基础研究发展计划(973计划)资助项目(2010CB832700);中央高校基本科研业务费专项资金资助项目

摘　　要：为了提高车身设计的效率,提出了一种车身有限元模型自由变形设计方法。首先,生成的车身有限元模型是由空间六面体、五面体和四面体单元组成的控制参数体;然后,建立有限元模型和控制参数体的等参变换关系,而后通过对控制参数体的形状改变来驱动有限元模型的变体设计。通过给出的等参变换及其逆变换关系,算法避免了已有自由变形算法的局部坐标参数化的计算费时问题。通过对某车身有限元模型的数值模拟测试,验证了算法的可用性和有效性。To improve the efficiency of auto-body design,an algorithm of morphing design for auto-body based on free form deformation and isoparametric transformation was proposed.In this algorithm,the control finite element model（FEM） model was consisted of a collection of polyhedral elements,such as hexahedron,pentahedron and tetrahedron.Then the correspondence of isoparametric transformation between FEM model and control parametric volume was established,and the deformation of control parametric volume was propagated to the embedding FEM model.The algorithm avoided the problem of computational cost of the parameterization of local coordinates through the given isoparametric transformation and its inverse transformation.From the numerical simulation on FEM model of an auto-body,the validity and efficiency of proposed algorithm were verified.

关 键 词：车身设计 有限元模型 自由变形 等参变换 

分 类 号：TH122[机械工程—机械设计及理论] O241.82[理学—计算数学]