多步逆成形有限元法中间构型初始解预示算法

doi:10.3901/JME.2015.24.118

机械工程学报 ›› 2015, Vol. 51 ›› Issue (24): 118-125.doi: 10.3901/JME.2015.24.118

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多步逆成形有限元法中间构型初始解预示算法

张向奎, 王峰, 刘伟杰, 董亚亚, 王甜驹

大连理工大学汽车工程学院大连 116024

收稿日期:2014-12-19 修回日期:2015-08-04 出版日期:2015-12-15 发布日期:2015-12-15
通讯作者: 刘伟杰，男，1986年出生，博士研究生。主要研究方向为汽车车身先进设计与制造技术。 E-mail：liuweijie@mail.dlut.edu.cn
作者简介:张向奎，男，1976年出生，副教授。主要研究方向为汽车CAE软件平台设计。 E-mail：zhangxk@dlut.edu.cn

Solving Algorithm of Initial Guess of Intermediate Configuration in Multi-step Inverse Finite Element Method

ZHANG Xiangkui, WANG Feng, LIU Weijie, DONG Yaya, WANG Tianju

School of Automotive Engineering, Dalian University of Technology, Dalian 116024

Received:2014-12-19 Revised:2015-08-04 Online:2015-12-15 Published:2015-12-15

摘要/Abstract

摘要： 在逆成形有限元法中，为考虑加载路径的影响，针对不同成形类型阶段引入中间构型，整个过程被划分为多阶段成形过程，即多步逆成形有限元法，一个好的中间构型初始解的构造是其中的关键问题之一。针对中间构型初始解的构造，提出一种基于滑移约束曲面的节点反向映射法：利用板材的纯几何弯曲效应构造出弯曲构型，经过伪最小面积法优化后生成空间滑移约束曲面；投影展平的最终构型网格面到展平滑移约束曲面网格中，利用面积坐标计算出所有投影节点的坐标；投影节点反向映射回到空间滑移约束曲面上，构造出对应中间构型的初始解。另外，针对中间构型初始解构造中可能出现部分节点无投影区域的问题，给出一种扩展空间滑移约束曲面轮廓的解决方法。零件的数值算例验证相应算法的可行性与有效性。

关键词: 初始解, 多步逆成形法, 覆盖件成形, 滑移约束曲面, 轮廓扩展

Abstract: In order to take loading path into account, intermediate configurations are introduced into different forming stages in inverse finite element method(IFEM), multi-step IFEM is presented. Research on multi-step IFEM, a good initial guess is one of key links in the process of solving. So, a kind of reverse mapping method, which is based on sliding constraint surface, has been put forward: Firstly, bending configuration is solved through bending effect of blank and sliding constraint surface is obtained in pseudo minima area optimization algorithm; Then, all nodes in the unfolded final configuration are projected onto the unfolded sliding constraint surface; Thirdly, all projected nodes will be reversely mapped back to sliding constraint surface after these coordinates are calculated in area coordinate. As a result, the corresponding initial guess of intermediate configuration can be obtained. In addition, for the problem of some nodes without projective region in unfolded sliding constraint surface, a solving solution of extending sliding constraint surface is presented. Numerical simulations validate the effectiveness of the algorithm.

Key words: boundary extension, initial guess, multi-step inverse finite element method (IFEM), panel forming, sliding constraint surface

张向奎, 王峰, 刘伟杰, 董亚亚, 王甜驹. 多步逆成形有限元法中间构型初始解预示算法[J]. 机械工程学报, 2015, 51(24): 118-125.

ZHANG Xiangkui, WANG Feng, LIU Weijie, DONG Yaya, WANG Tianju. Solving Algorithm of Initial Guess of Intermediate Configuration in Multi-step Inverse Finite Element Method[J]. Journal of Mechanical Engineering, 2015, 51(24): 118-125.

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多步逆成形有限元法中间构型初始解预示算法

Solving Algorithm of Initial Guess of Intermediate Configuration in Multi-step Inverse Finite Element Method

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