一步逆成形法中边界等效阻力的自适应算法

doi:10.3901/JME.2016.09.122

机械工程学报 ›› 2016, Vol. 52 ›› Issue (9): 122-128.doi: 10.3901/JME.2016.09.122

扫码分享

一步逆成形法中边界等效阻力的自适应算法

崔静, 鲍益东

南京航空航天大学机电学院南京 210016

出版日期:2016-05-05 发布日期:2016-05-05
作者简介:崔静,女,1990年出生,硕士研究生。主要研究方向为板料成形与控制。E-mail：cjcmee@sina.com;鲍益东(通信作者),男,1976年出生,博士,副教授,硕士研究生导师。主要研究方向为板料成形与控制。E-mail：baoyd@nuaa.edu.cn
基金资助:
国家自然科学基金(51275236)和南京航空航天大学基本科研业务费(NS2013054)资助项目

Self-adaptive Algorithm of the Equivalent Resistance on the Boundary Line in One-step Inverse Analysis

CUI Jing, BAO Yidong

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016

Online:2016-05-05 Published:2016-05-05

摘要/Abstract

摘要： 在一步逆成形法中,如果最终构形只包括零件型面,为了得到合理的毛坯形状,需将压边圈的摩擦阻力以及拉深筋的阻力等效到零件边界线的节点上,根据实际经验给出等效阻力的大小。但是等效阻力的大小并不是均匀分布的,如果视为均匀分布,势必造成较大误差,如果分段手动给定,则效率太低,这里提出一种边界等效阻力的自适应算法。算法首先通过线弹性反向变形求得零件在无边界等效阻力作用下的毛坯外轮廓线,假设边界等效阻力的大小与该外轮廓线与零件边界线相应单元边之间的距离成正比,从而实现等效阻力的自适应分布。并以两个典型冲压件为例,通过比较等效阻力自适应算法、等效阻力均布算法、利用商业化软件Fastform分段手动给定阻力的大小和多次试验这四种不同方法得到的零件毛坯外轮廓线,验证了这一算法的有效性和便捷性。

关键词: 边界等效阻力, 一步逆成形, 自适应算法

Abstract: In one-step inverse analysis, the resistance produced by the blank holder or draw bead should be given by experience and then equivalent to the nodal force on the boundary line for obtaining a rational blank shape if the final configuration only contains the part surface. However, the resistance is not distributed uniformly. Handling as uniform distribution will cause big error. Giving manually section by section is inefficient. Here, a self-adaptive algorithm of the equivalent resistance is introduced. In the algorithm, firstly the initial configuration is obtained by linear elastic reverse deformation without considering any resistance. Then the resistance is assumed to be in direct proportion to the distance between the above mentioned initial configuration and the part contour line. In this way, the equivalent resistance can be distributed adaptively. To confirm the algorithm’s validity, two typical stamping parts are presented as examples. By comparing four different results respectively obtained by non-uniformly distributed resistance algorithm, uniformly distributed resistance algorithm, giving resistance manually section by section, a commercial software Fastform and trial and error, this self-adaptive algorithm is proved accurate and convenient.

Key words: equivalent resistance, one-step inverse analysis, self-adaptive algorithm

中图分类号:

TG386

崔静, 鲍益东. 一步逆成形法中边界等效阻力的自适应算法[J]. 机械工程学报, 2016, 52(9): 122-128.

CUI Jing, BAO Yidong. Self-adaptive Algorithm of the Equivalent Resistance on the Boundary Line in One-step Inverse Analysis[J]. Journal of Mechanical Engineering, 2016, 52(9): 122-128.

参考文献

[1] CHEBBAH M S,NACEUR H,GAKWAYA A. A fast algorithm for strain prediction in tube hydroforming based on one-step inverse approach[J]. Journal of Materials Processing Technology,2011,211：1898-1906.
[2] 韩志仁,刘跃专. 钣金成形毛坯展开方法研究进展[J]. 塑性工程学报,2009,16(1)：6-10.
HAN Zhiren,LIU Yuezhuan. Research and progress on optimum blank development shape methods for sheet metal forming[J]. Journal of Plasticity Engineering,2009,16(1)：6-10.
[3] CHUNG S Y,SWIFT H W. A theory of tube-sinking[J]. J. Iron Steel Inst.,1952,170：29-36.
[4] 周平,胡平,张健伟,等. 基于节点切平面解耦列式的一步逆成形法[J]. 机械工程学报,2010,46(22)：24-30.
ZHOU Ping,HU Ping,ZHANG Jianwei,et al. One-step inverse approach based on decoupled formulation in nodal tangent plane[J]. Journal of Mechanical Engineering,2010,46(22)：24-30.
[5] 鲍益东. 汽车车身部件一步逆成形法碰撞仿真研究[D]. 长春：吉林大学,2004.
BAO Yidong. Research on one step inverse forming FEM and crash simulation of auto panel part[D]. Changchun：Jilin University,2004.
[6] NACEUR H,DELAMEZIERE A,BATOZ J L,et al. Some improvements on the optimum process design in deep drawing using the inverse approach[J]. Journal of Materials Processing Technology,2004,146(2)：250-262.
[7] GUO Y Q,BATOZ J L,NACEUR H,et al. Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach[J]. Computers and Structures,2000,78：133-148.
[8] ASAOKA A,NODA T,FERNANDO G S K. Effects of changes in geometry on the linear elastic consolidation deformation[J]. Journal of the Japanese Geotechnical Society Soils & Foundation,1997,37(1)：29-39.
[9] YONEYAMA S,ARIKAWA S. Identification of boundary condition from measured displacements for linear elastic deformation fields[J]. Procedia IUTAM,2012,4：215-226.
[10] 彭威,陈文亮,鲍益东. 基于线弹性反向变形有限元法的网格参数化[J]. 机械科学与技术,2012,31(9)：1463-1467.
PENG Wei,CHEN Wenliang,BAO Yidong. Mesh parameterization using linear-elastic reverse deformation finite element method[J]. Mechanical Science and Technology for Aerospace Engineering,2012,31(9)：1463-1467.
[11] 王勖成. 有限单元法[M]. 北京：清华大学出版社,2003.
WANG Xucheng. Finite element method[M]. Beijing：Tsinghua University Press,2003.

一步逆成形法中边界等效阻力的自适应算法

Self-adaptive Algorithm of the Equivalent Resistance on the Boundary Line in One-step Inverse Analysis

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

本文评价

[1]	卢炽华, 孙孟雷, 刘志恩, 陈弯, 李晓龙. 主动冲击噪声控制自适应算法综述及综合性能分析[J]. 机械工程学报, 2022, 58(13): 101-118.
[2]	刘金鑫, 陈雪峰, 张兴武, 乔百杰, 严如强. 结构自适应频谱塑形主动控制研究[J]. 机械工程学报, 2021, 57(8): 90-97,106.
[3]	鲍益东, 钱文清, 陈晓豫, 寸文渊, 舒阳. 航空扩口导管轴向收缩量快速预测方法[J]. 机械工程学报, 2020, 56(10): 102-109.
[4]	石岩, 任帅, 蔡茂林, 许未晴. 基于模拟人类自然咳嗽的智能吸痰技术研究[J]. 机械工程学报, 2018, 54(20): 59-63.
[5]	鲍益东;王秋菊;陈文亮. 三维复杂零件修边线快速预示方法[J]. , 2011, 47(24): 38-43.
[6]	周平;胡平;张健伟;张向奎. 基于节点切平面解耦列式的一步逆成形法[J]. , 2010, 46(22): 24-30.
[7]	徐凤霞;赵学增;陆仲达. 自适应重复控制抑制测试台动不平衡扰动研究[J]. , 2010, 46(2): 172-177.
[8]	王跃宗;李德胜. 新型错帖检测仪的设计[J]. , 2007, 43(3): 218-222.