• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (8): 73-79.doi: 10.3901/JME.2019.08.073

• 材料科学与工程 • 上一篇    下一篇

基于并行加点kriging模型的拉延筋优化

谢延敏, 张飞, 潘贝贝, 冯美强, 岳跃鹏   

  1. 西南交通大学机械工程学院 成都 610031
  • 收稿日期:2018-02-15 修回日期:2018-07-17 出版日期:2019-04-20 发布日期:2019-04-20
  • 通讯作者: 谢延敏(通信作者),男,1975年出生,博士,副教授。主要从事先进塑性加工技术仿真和稳健设计等方面研究,发表论文50余篇。E-mail:xie_yanmin@swjtu.edu.cn
  • 基金资助:
    国家自然科学基金(51005193)和国家大学生创新性试验计划(201710613033)资助项目。

Optimization of Drawbeads Based on Parallel Infilling Strategy and Kriging Models

XIE Yanmin, ZHANG Fei, PAN Beibei, FENG Meiqiang, YUE Yaopeng   

  1. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031
  • Received:2018-02-15 Revised:2018-07-17 Online:2019-04-20 Published:2019-04-20

摘要: 为提高kriging代理模型预测精度,基于最大期望提高加点准则,提出一种改进的自适应加点准则和一种并行加点策略。基于kriging模型的预测响应和预测方差,并行加点方法在建模过程中利用粒子群算法并行求解多个加点准则获取多个新样本点更新代理模型,极大提高建模效率。将该方法应用到低维和高维经典非线性函数中,并与单点加点结果相比较,结果表明该方法在保证全局精度情况下,加点次数减少50%以上,并且建模所需总样本数更少。最后以NUMISHEET2002标准考题翼子板成形为研究对象,将该方法应用到板料成形上,建立等效拉延筋阻力和减薄率之间的kriging代理模型,利用并行加点策略快速获取了拉延筋阻力的最优解,消除了翼子板成形中的拉裂缺陷,提高了板料的成形质量。研究表明,改进的自适应加点准则以及提出的并行加点策略可以有效地提高kriging模型的建模效率和建模精度。

关键词: kriging模型, 板料成形, 并行加点, 拉延筋

Abstract: In order to improve the prediction accuracy of a kriging model, an improved adaptive infilling criterion and a parallel infilling strategy are proposed based on the maximum expected improvement criterion. Based on the prediction response and prediction variance provided by a kriging model, multiple new points are obtained to update a kriging model by solving multiple infilling criteria in parallel through the particle swarm optimization algorithm, greatly improving the modeling efficiency. The proposed strategy is applied to low-dimensional and high-dimensional classical nonlinear functions and compared with the single-point infilling method. The results show that the proposed strategy can reduce sampling times by more than 50% at the same global accuracy, and the total number of samples required for a kriging model is less. Finally, the proposed strategy is applied into the sheet metal forming, and the fender in the NUMISHEET2002 is taken as the research object. The kriging model between the equivalent drawbead restraining force and the thinning rate is established to obtain the optimal solution of the drawbead resistance by parallel infilling strategy. So the cracking defect is completely eliminated in the fender forming process and the forming quality of the blank is improved. The research shows that the improved adaptive infilling criterion and the proposed parallel infilling strategy can effectively improve the modeling efficiency and prediction accuracy of the kriging model.

Key words: drawbeads, kriging model, parallel infilling criterion, sheet metal forming

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