一种改进大步长静力隐式有限元接触搜寻算法  

Improved Contact Searching Algorithm of Large Step Implicit FEMs

作　　者：刘永财[1,2] 鲍益东 胡庆婉[2] 陈文亮 LIU Yongcai;BAO Yidong;HU Qingwan;CHEN Wenliang(College of Mechanical and Electrical Engineering∥Jiangsu Province Key Laboratory of Precision and Micro Manufacturing Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,Jiangsu,China;School of Mathematics and Statistics,Qujing Normal University,Qujing 655011,Yunnan,China)

机构地区：[1]南京航空航天大学机电学院∥江苏省精密与微细制造技术重点实验室,江苏南京210016 [2]曲靖师范学院数学与统计学院,云南曲靖655011

出　　处：《华南理工大学学报（自然科学版）》2019年第7期136-144,共9页Journal of South China University of Technology(Natural Science Edition)

基　　金：中国航空研究院航空科学基金资助项目(20161852018);江苏省精密与微细制造技术重点实验室2018年开放基金资助项目~~

摘　　要：大步长静力隐式有限元方法具有快速的计算速度和较高的计算精度,在金属板料的成形模拟领域中得到了广泛的应用.在接触搜寻阶段,由大步长引起的大量历史接触信息改变的特点使接触搜寻问题变得更困难,因此有必要针对该问题设计一种高效稳健的搜寻算法.基于主从面法的思想,提出了一种结合位置码法和ADT(Altern ating Ditigal Tree,交替数字二叉树)法的改进接触搜寻算法,并集成到自主研发的Quick Form软件中;通过数值算例对该方法的计算性能进行了测试.结果表明:改进算法具有良好的搜寻性能,平均搜寻效率提升了20%左右.The large step implicit FEMs have been widely used in the field of sheet metal forming due to its fast calculation speed and highly accuracy.Many historical contact information may be changed for the current time step in implicit FEMs which makes the contact searching problem more difficult,and a robust contact searching algorithm is necessary.Combining location code algorithm and Alternating Ditigal Tree(ADT) structure,an algorithm based on master-slave method was proposed for large step implicit FEMs,and it was integrated into the QuickForm software.The experimental results show that the algorithm has good search performance.For many complex forming parts,the average search efficiency is up to about 20%.

关 键 词：大步长静力隐式有限元法 接触搜寻 位置码法 交替数字二叉树法 

分 类 号：TG386[金属学及工艺—金属压力加工]