基于弹塑性变形的快速展平算法与网格参数化  

A Rapid Unfolding Method Based on Large Elasto-Plastic Deformation and Planar Mesh Parameterization

作　　者：李宝军[1,2] 张向奎[1,2] 祝雪峰[1,2] 靳春宁[1,2] 周平[3] 胡平[1,2] 

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 [2]大连理工大学运载工程与力学学部汽车工程学院,大连116024 [3]吉林大学汽车工程学院,长春130022

出　　处：《计算机辅助设计与图形学学报》2010年第8期1266-1271,共6页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家"八六三"高技术研究发展计划(2009AA04Z101);国家自然科学基金重点项目(10932003);国家"九七三"重点基础研究发展计划项目(2010CB832700)

摘　　要：针对复杂CAD模型的展平问题,提出在三角网格上数值模拟汽车覆盖件一步逆成形的优化算法,实现了对车身零件毛坯料的快速估计.首先对初始网格进行补洞与局部重新网格化等预处理,得到辅助网格;为了减少变形,采用基于能量释放的初始解预示算法,并用基于金属板材弹塑性变形的一步逆算法进行迭代优化,得到修正的展平网格,经后处理得到最终参数化结果.将文中算法应用到自由边界网格参数化上,通过大量数值实验和比较结果表明,该算法不仅适用于工业上的坯料预估,而且在网格参数化的面积、扭曲变形方面有明显改善,同时具有较好的保角效果.As a classic case of unfolding the complicated CAD models, this paper presents a rapid optimal algorithm using one-step inverse forming to simulate the process of stamping autobody panels on triangular meshes. Firstly an auxiliary mesh is produced after performing some pre-processing operations, such as hole filling and local remeshing. An initial guess algorithm based on energy model is then applied to flatten the auxiliary mesh into a planar mesh accounting for shape distortion. The optimization process is conducted to refine the result further based on rapid large elasto-plastic deformation theory, which generates not only a good prediction of the blank shape for manufacturing but also a mesh parameterization with less area distortion and angular distortion. Numerical examples show the effectiveness of our new algorithm.

关 键 词：车身覆盖件 一步逆成形 弹塑性变形 三角网格 网格参数化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]