【作者】 鲍益东； 陈文亮；

【Author】 Bao Yi-Dong,Chen Wen-Liang(College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,210016,China)

【机构】 南京航空航天大学机电学院；

【摘要】 现在市场竞争越来越激烈,产品更新换代的周期越来越短,这就要求在零件设计与模具设计阶段分别有不同的快速模拟算法来进行钣金成形的快速仿真。在零件设计中应用最广泛快速模拟算法的就是一种基于全量理论的一步逆成形有限元法,本文首先介绍了一步逆成形有限元法的基本理论,然后提出了一种专门针对金属板料成形而特殊设计的快速模拟的大步长静力隐式算法,特别适合在模具设计阶段对工艺参数等因素进行优化设计,该算法基于解耦计算,将钣金成形的变形过程分成弯曲和拉伸这两个独立的过程分别进行计算,整个计算过程的效率很高。最后,提出了一种有限元方程组的快速迭代求解算法和与之相适应的整体刚度矩阵的存储方法,并通过数值计算实例验证了该算法在求解大型有限元模型时不仅具有较高的计算效率,而且能够节省大量存储空间。更多还原

【Abstract】 Nowadays,the market competition is more and more keen,the renewal cycle of product is shorter,which need a different quick simulation algorithm of sheet metal forming during product design stage and die design stage,respectively.The one step inverse forming FEM based on total theory is a most popular fast simulation algorithm in product design period.Firstly,the basic theory of one step inverse analysis is proposed.Secondly,the Large-step Static Implicit Algorithm is a specially designed new simulation algorithm which specializes in sheet metal forming.This algorithm is suitable to optimize technical parameters in die design stage.It uses the uncoupling thought to separate the two processes of bending effect and membrane drawing effect during sheet forming and solve them respectively.Finally,the fast iterative solution algorithm of finite element equations and the corresponding compressed storage scheme are proposed.Numerical examples demonstrate the higher efficiency and less memory needed of this proposed algorithm in this paper.更多还原