基于新型三角形壳元和多重动态自适应方法的薄板冲压成形分析  

Analysis of Sheet Metal Stamping Based on New Triangular Shell Element and Multiple Dynamic Adaptive Method

作　　者：赵妍 李射 崔向阳[1] ZHAO Yan;LI She;CUI Xiangyang(State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha 410082;Hunan Maixi Software Company Limited,Changsha 410082)

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082 [2]湖南迈曦软件有限责任公司,长沙410082

出　　处：《机械工程学报》2024年第14期153-165,共13页Journal of Mechanical Engineering

基　　金：国家自然科学基金(12002124,11872177);湖南省自然科学基金青年基金(2022JJ40031);长沙市自然科学基金青年基金(kq2014035);国家重点实验室开放基金(32065007)资助项目。

摘　　要：薄板冲压成形是利用金属板料的塑性,在模具的外力作用下成形的工艺方法。从薄板冲压成形过程的关键技术出发,开发用于薄板冲压成形所需的新型三角形壳单元;基于更新的拉格朗日框架,嵌入用于材料非线性求解的隐式径向返回算法;开发用于接触分析的接触搜索算法和接触力计算方法,求解薄板冲压成形问题。计算效率与计算精度之间的平衡是薄板冲压成形有限元仿真的关键,应用几何与能量结合的误差准则提高加密范围的准确性,引入根据几何矢量插入新节点的方法来减少接触计算的迭代,提出一种多重动态自适应算法。随着计算过程中变形区域与应力集中区域的变化,对网格进行多重“加密-聚合-加密”。通过有限元仿真实例对比,表明此算法能够保证计算精度的前提下提升计算效率。Sheet metal stamping is a technological method that takes advantage of the plasticity of sheet metal and forms under the external force of die.Based on the key technology of sheet metal stamping process,a new triangular shell element for sheet metal stamping is developed.Based on the updated Lagrangian framework,an implicit radial return algorithm for nonlinear solution of materials is embedded.A contact search algorithm and a contact force calculation method for contact analysis are developed to solve the sheet metal stamping problem.The balance between calculation efficiency and calculation accuracy is the key to finite element simulation of sheet metal stamping.The error criterion of combining geometry with energy is applied to improve the accuracy of encryption range,and the method of inserting new nodes according to geometric vectors is introduced to reduce the iteration of contact calculation.A multiple dynamic adaptive algorithm is proposed.With the change of deformation area and stress concentration area in the calculation process,multiple“encryption-coarsening-encryption”are carried out on the mesh.Through the comparison of finite element simulation examples,it shows that the algorithm in this paper can greatly improve the calculation efficiency on the premise of ensuring the calculation accuracy.

关 键 词：新型三角形壳元 剪切自锁 薄板冲压成形 有限元仿真 网格动态自适应 

分 类 号：TG156[金属学及工艺—热处理] F407[金属学及工艺—金属学] TP319[经济管理—产业经济]