• CN:11-2187/TH
  • ISSN:0577-6686

›› 2013, Vol. 49 ›› Issue (4): 44-50.

• 论文 • 上一篇    下一篇

基于灰色理论和GA-BP的拉延筋参数反求

谢延敏;王新宝;王智;胡静   

  1. 西南交通大学先进设计与制造技术研究所
  • 发布日期:2013-02-20

Parameter Inverse Problem for Drawbeads Based on the Gray Theory and GA-BP

XIE Yanmin;WANG Xinbao;WANG Zhi;HU Jing   

  1. Institute of Advanced Design and Manufacturing, Southwest Jiaotong University
  • Published:2013-02-20

摘要: 采用灰色关联分析对影响拉延筋阻力的因子进行分析,获得主要的影响因子。利用拉丁超立方试验设计方法对主要因子进行取样,利用DYNAFORM软件对方盒件成形进行仿真,得到样本数据。以成形件中的减薄、增厚和主应变为输入,以拉延筋几何参数为输出,建立拉延筋参数的反求模型。利用遗传算法优化反向传播(Back propagation, BP)网络权值,通过与单纯使用BP进行映射得出的几何参数预测值进行比较,该模型的精度得到很大提高,表明基于遗传算法(Genetic algorithm, GA)优化的BP神经网络的模型能极大提高预测能力。基于GA-BP模型,以拉延筋几何参数为输入,增厚为输出目标,利用训练好的优化权值,获得拉延筋几何参数与成形件增厚的非线性映射关系式,并再次利用遗传算法对其优化,获得最佳的拉延筋几何参数。通过比较优化前后的数值仿真结果,优化后的拉延筋能极大地提高板料成形性能。

关键词: 反求优化, 反向传播神经网络, 灰色关联分析, 拉延筋, 遗传算法

Abstract: The factors influencing drawbeads force are firstly analyzed making use of gray relational analysis, and the main factors are obtained. Making use of Latin hypercube, the main factors are sampled. The box forming is simulated with DYNAFORM, and the sample objective data are obtained. The thinning and thickening and major strain are selected as input parameters, and drawbeads geometry parameters are selected as output objective. The inverse model of drawbeads geometry parameters is established. The back propagation(BP) network weights are optimized with genetic algorithm(GA). Compared with the predictive values by BP, the parameters values by GA-BP are more accuracy, and its accuracy can be greatly improved. It showed the GA-BP mapping can greatly improve the predictive capability. Based on the GA-BP, the nonlinear function of the forming thickening and drawbeads geometry parameters is obtained making use of the optimized weights, and the function is optimized with GA. Finally the optimum geometrical parameters of drawbeads are obtained. The numerical simulations of box before optimization and after optimization are compared. The results show the optimized drawbeads can greatly improve the formability of sheet metal forming.

Key words: Back propagation neural network, Drawbeads, Genetic algorithm, Gray relational analysis, Inverse and optimization

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