基于水平集理论和Kriging模型的镁合金差温成形伪拉延筋设计及优化

doi:10.3901/JME.2020.12.092

机械工程学报 ›› 2020, Vol. 56 ›› Issue (12): 92-98.doi: 10.3901/JME.2020.12.092

扫码分享

基于水平集理论和Kriging模型的镁合金差温成形伪拉延筋设计及优化

谢延敏¹, 岳跃鹏¹, 冯美强¹, 郭元恒¹, 王东涛¹, 祝云²

1. 西南交通大学机械工程学院成都 610031;
2. 成飞集成科技股份有限公司成都 610091

收稿日期:2019-09-05 修回日期:2020-02-13 出版日期:2020-06-20 发布日期:2020-07-14
通讯作者: 谢延敏(通信作者),男,1975年出生,博士,副教授。主要研究方向为先进塑性加工技术仿真和稳健设计等。E-mail:xie_yanmin@swjtu.edu.cn
基金资助:
国家自然科学基金（51005193）、四川省科技计划（2019YFG0313）和国家大学生创新创业训练计划（201910613017）资助项目。

Design and Optimization of Pseudo Drawbeads in Nonisothermal Stamping of Magnesium Alloys Based on Level Set Theory and Kriging Model

XIE Yanmin¹, YUE Yuepeng¹, FENG Meiqiang¹, GUO Yuanheng¹, WANG Dongtao¹, ZHU Yun²

1. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031;
2. Chengfei Integration Technology Co., Ltd., Chengdu 610091

Received:2019-09-05 Revised:2020-02-13 Online:2020-06-20 Published:2020-07-14

摘要/Abstract

摘要： 压边圈结构对改善差温成形中压边圈摩擦、传热及材料的流动阻力起着重要的作用。利用水平集理论和Kriging模型，对镁合金差温成形中的压边圈结构进行优化，提出一种伪拉延筋。以NUMISHEET2011十字杯形件为研究对象，建立相应的热力耦合模型，利用相关的试验数据，对有限元模型进行验证。基于一步法理论反求影响镁合金成形件质量的压边圈关键区域，并对该区域进行了重新离散化及处理。以部分节点坐标为设计变量，以随机水平集值为目标，建立压边圈的Kriging水平集模型。利用初始水平集阈值，对伪拉延筋进行设计。利用拉丁超立方对水平集阈值、凸模温度和凹模温度进行抽样，获得伪拉延筋样本。基于镁合金差温成形热力耦合模型，对相应的样本进行有限元仿真分析，获得镁合金成形件的成形质量，建立水平集阈值与质量之间的Kriging模型。利用粒子群算法，对该Kriging模型进行优化，获得最佳水平集阈值，实现伪拉延筋的优化。利用最优伪拉延筋，进行相应的差温成形分析。研究表明，基于水平集理论和Kriging模型，优化伪拉延筋能有效地提高成形件的减薄率均匀性。该方法为压边圈设计提供一种有益的指导。

关键词: 差温成形, 水平集, Kriging模型, 粒子群算法, 伪拉延筋

Abstract: Blank holder structures play an important role in improving friction, heat transfer and material flow resistance in nonisothermal stamping. The blank holder structure in nonisothermal stamping for magnesium alloys is optimized by the level-set theory and Kriging models. A pseudo drawbead structure is proposed. A cross-shaped cup in NUMISHEET2011 is taken as a research object, and the corresponding thermal coupling model is established. The finite element model is verified by the relevant experimental data. Based on the one-step theory, the key area of the blank holder that affects the quality of the formed part is obtained and the area is re-discretized and processed. Partial node coordinates are used as design variables, and level-set values are used as objectives, so the Kriging model is established. Based on an initial level-set threshold, the pseudo drawbeads are designed. The level-set threshold, the temperature of the punch and the die are sampled by Latin hypercube, and the samples of the pseudo drawbeads are obtained. Based on the thermal coupling model in nonisothermal stamping, the finite element simulation is carried out to obtain the forming quality. The Kriging model between the level-set threshold and forming quality is established. By a particle swarm optimization algorithm, the Kriging model is optimized to obtain the optimal level-set threshold, so the pseudo drawbead is optimized. The nonisothermal forming simulation is carried out by the optimal pseudo drawbead. The research shows that the optimized pseudo drawbead can effectively improve the uniformity of the thinning rate in the formed part based on level-set theory and Kriging models. A useful guide for designing blank holders is provided by the method.

Key words: nonisothermal stamping, level set, Kriging model, particle swarm algorithm, pseudo drawbead

中图分类号:

TG386

谢延敏, 岳跃鹏, 冯美强, 郭元恒, 王东涛, 祝云. 基于水平集理论和Kriging模型的镁合金差温成形伪拉延筋设计及优化[J]. 机械工程学报, 2020, 56(12): 92-98.

XIE Yanmin, YUE Yuepeng, FENG Meiqiang, GUO Yuanheng, WANG Dongtao, ZHU Yun. Design and Optimization of Pseudo Drawbeads in Nonisothermal Stamping of Magnesium Alloys Based on Level Set Theory and Kriging Model[J]. Journal of Mechanical Engineering, 2020, 56(12): 92-98.

参考文献

[1] 李钦生,何俊,刘彦春,等. 矩形件分块压边圈拉延成形及拉延模设计[J]. 锻压技术,2018,43(3):42-45. LI Qinsheng,HE Jun,LIU Yanchun,et al. Drawing of rectangular box with segment blank holders and its drawing die design[J]. Forging & Stamping Technology,2018,43(3):42-45.
[2] 谢延敏,唐维,黄仁勇,等. 基于混合近似模型的镁合金差温成形压边圈结构形状优化[J]. 塑性工程学报,2018,25(2):22-29. XIE Yanmin,TANG Wei,HUANG Renyong,et al. Shape optimization of blank holder structure in nonisothermal stamping of magnesium alloy based on ensemble surrogate[J]. Journal of Plasticity Engineering,2018,25(2):22-29.
[3] ZHENG K,POLITIS D J,LIN J,et al. A study on the buckling behaviour of aluminium alloy sheet in deep drawing with macro-textured blankholder[J]. International Journal of Mechanical Sciences,2016,110:138-150.
[4] HAMZA K,ALY M,HEGAZI H. A Kriging-interpolated level-set approach for structural topology optimization[J]. Journal of Mechanical Design,2014,136(1):1-12.
[5] YOSHIMURA M,SHIMOYAMA K,MISAKA T,et al. Topology optimization using a kriging-assisted genetic algorithm with a novel level set representation approach[C]//ECCOMAS Congress 2016-Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. 2016:3361-3376.
[6] GUIRGUIS D,HAMZA K,ALY M,et al. Multi-objective topology optimization of multi-component con-tinuum structures via a Kriging-interpolated level set approach[J]. Structural & Multidisciplinary Optimization,2014,51(3):733-748.
[7] 刘凡兵. 基于水平集方法的多材料结构拓扑优化问题研究[D]. 哈尔滨:哈尔滨工程大学,2017. LIU Fanbing. The research of multiple materials structure topology optimization problems based on the level set method[D]. Harbin:Harbin Engineering University,2017.
[8] ZHOU Y,SAITOU K. Topology optimization of composite structures with data-driven resin filling time manufacturing constraint[J]. Structural and Multi-disciplinary Optimization,2017,55(6):2073-2086.
[9] WANG M Y,WANG X M,GUO D M. A level set method for structural topology optimization[J]. Computer Methods in Applied Mechanics and Engineering,2003,192(1-2):227-246.
[10] GUIRGUIS D,ALY M,HAMZA K,et al. Image matching assessment of attainable topology via Kriging interpolated level-sets[C/CD]//Proceedings of the ASME 2014 International Design Engineering Technical Confer-ences & Computers and Information in Engineering Conference IDETC/CIE. 2014 August 17-20,2014,Buffalo,New York.
[11] 薛翠鹤.AZ31镁合金板材温热高速率本构关系研究[D]. 武汉:武汉理工大学,2010. XUE Cuihe. Constitutive relationship research of AZ31 magnesium alloy sheet under the HVF&warm forming condition[D]. Wuhan:Wuhan University of Technology,2010.
[12] HOON H,KWANSOO C,SOO S,et al.Benchmark 2-simulation of the cross-shaped cup deep-drawing process[C/CD]//The Korean Society for Technology of Plasticity,Korea:2011.
[13] AZAOUZI M,BELOUETTAR S,RAUCHS G. A numerical method for the optimal blank shape design[J]. Materials and Design,2011,32(2):756-765.

[1]	杨旭锋, 程鑫, 刘泽清. 一种融合交叉熵自适应抽样与ALK模型的可靠性分析方法[J]. 机械工程学报, 2024, 60(16): 73-82.
[2]	王汝贵, 董奕辰, 陈辉庆. 一种变胞式工业机器人时间最优轨迹规划[J]. 机械工程学报, 2023, 59(5): 100-111.
[3]	万晓东, 马平, 万东红. 基于DG无功参与的配电网综合无功优化[J]. 电气工程学报, 2023, 18(3): 260-267.
[4]	周策, 白斌, 叶楠. 自适应粒子群优化支持向量回归的工程系统可靠性预测[J]. 机械工程学报, 2023, 59(14): 328-338.
[5]	张横, 李昊, 丁晓红, 胡天男, 潘晟, 朱本亮, 倪维宇, 徐世鹏. 基于贴体网格的高分辨率三维结构拓扑优化研究[J]. 机械工程学报, 2022, 58(5): 136-143.
[6]	鲁军, 刘金宝, 贾士杰, 李万义. MSMA传感器的建模及参数辨识研究^*[J]. 电气工程学报, 2022, 17(4): 211-217.
[7]	万亮, 钱亦楠, 涂翊翔, 杜航, 巫世晶, 李登. 磨料水射流单次铣削钛合金截面轮廓特征预测[J]. 机械工程学报, 2022, 58(23): 296-305.
[8]	付君健, 舒正涛, 田启华, 杜义贤, 周祥曼, 徐勇. 功能梯度多孔结构拓扑优化的混合水平集方法[J]. 机械工程学报, 2022, 58(17): 249-260.
[9]	姜丙孝, 杨军虎, 王晓晖, 苗森春. 基于RBF-HDMR模型与PSO算法的液力透平叶片优化[J]. 机械工程学报, 2022, 58(12): 283-292.
[10]	张朝龙, 赵筛筛, 何怡刚. 基于信息熵与PSO-LSTM的锂电池组健康状态估计方法[J]. 机械工程学报, 2022, 58(10): 180-190.
[11]	冯仕杰, 刘韬, 潘萨, 陈正浩, 王青. 基于分层优化的电动汽车有序充电策略^*[J]. 电气工程学报, 2021, 16(3): 137-144.
[12]	刘冬, 袁利恒, 丛明. 齿轮机器人复杂装配过程在线建模与参数优化[J]. 机械工程学报, 2021, 57(13): 124-131.
[13]	贾光耀, 蔡福天. 基于仿射理论的配电网供电能力的研究 ^*[J]. 电气工程学报, 2020, 15(4): 59-64.
[14]	谭顿, 陶建峰, 王旭永. 基于改进粒子群算法的双液压马达同步控制策略[J]. 机械工程学报, 2020, 56(16): 254-261.
[15]	谢延敏, 张飞, 潘贝贝, 冯美强, 岳跃鹏. 基于并行加点kriging模型的拉延筋优化[J]. 机械工程学报, 2019, 55(8): 73-79.

基于水平集理论和Kriging模型的镁合金差温成形伪拉延筋设计及优化

Design and Optimization of Pseudo Drawbeads in Nonisothermal Stamping of Magnesium Alloys Based on Level Set Theory and Kriging Model

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价