锻压技术

基于响应面法的板料成形容差稳健设计

英文标题：Tolerance robust design for sheet metal forming based on response surface method

作者：王杰谢延敏乔良王新宝

单位：西南交通大学

分类号：TG386

出版年,卷(期):页码：2014,39(9):21-26

摘要：

为了增加板料产品的使用寿命和稳定性，降低不可控因素的波动，需要进行稳健设计。传统的稳健设计没有考虑可控因素和不可控因素之间的交互作用，导致板料产品的稳健性不能得到保证。结合响应面法和容差稳健模型，综合考虑可控因素和不可控因素的交互作用，以NUMISHEET93方盒件为例对其进行稳健优化设计。采用中心复合设计方法创建包含可控因素与不可控因素交叉的响应面模型，利用目标函数和约束函数的均值、方差建立含交互作用的容差稳健模型，将优化结果与确定性优化结果分别进行蒙特卡洛模拟并对比。结果表明，成形件的稳健性有显著提高，说明该稳健性优化方法在板料成形领域可行。

The robust design is applied in the sheet metal forming process in order to increase the life and stability of the sheet metal products and reduce the fluctuation of uncontrollable factors. Since the interaction between controllable factors and uncontrollable factors is not taken into account in the traditional robust design, the robustness of the sheet metal products can not be guaranteed. Considering the above interaction, the response surface method and tolerance model were applied to robustness optimization design for the sample square box of NUMISHEET 93. In the optimization process, the central composite design method was applied to construct the response surface model, which includes the interaction between controllable factors and uncontrollable factors. The tolerance robust model with the interaction was created by using the mean and variance of the objective and constraint functions. The optimization results and the deterministic optimization result were carried on by the Monte-Carlo simulation and compared respectively. The result shows that the robustness of the forming products is improved significantly and the robustness optimization is feasible in the sheet metal forming field.

基金项目：

国家自然科学基金资助项目(51005193)

王杰（1989-），男，硕士研究生

参考文献：

［1］杨玉英．大型薄板成形技术[M]．北京:国防工业出版社，1996．Yang Y Y．The Technology of the Large Sheet Metal Forming[M]．Beijing: National Defence Industry Press，1996．
［2］陈立周．工程稳健设计的发展现状与趋势[J]．中国机械工程，1998，9(6):59-62．Chen L Z．The Situation and tendency of the development of engineering robust design [J]. China Mechanical Engineering， 1998，9(6):59-62．
［3］Taguchi G． Introduction to Quality Engineering：Designing Quality into Products and Processes[M]．Tokyo:Asian Productivity Organization，1986．
［4］Vining G G，Myers R H．Combining taguchi and response surface philosophies:A dual response approach[J]．Journal of Quality Technology，1990，22(1):38-45．
［5］李玉强．板料拉深成形工艺的6-sigma稳健优化设计研究[D]．上海：上海交通大学，2006．Li Y Q．Research on Six Sigma Robust Optimization of Sheet Metal Forming[D]．Shanghai: Shanghai Jiaotong University，2006．
［6］谢延敏．基于Kriging模型和灰色关联分析的板料成形工艺稳健优化设计研究[D]．上海：上海交通大学， 2007．Xie Y M． Research on Robust Optimization of Sheet Metal Forming Based on Kriging and Grey Relational Analysis [D]．Shanghai:Shanghai Jiaotong University， 2007．
［7］Blaji Ramakrishnan，Rao S S．A genera loss function based optimization procedure for robust design [J]．Eng．Opt.，1996，25(4):255-276．
［8］Bonte M H A，Boogaard vanden A H，Raveswaaij van R．A robust optimization strategy for metal forming processes [A]．International Conference in Numerical Methods in Industrial Forming Processes[C]．Porto，2007.
［9］韦东来，崔振山，杨晨光，等．稳健回归随机响应面法与冲压成形容差预测[J]．上海交通大学学报，2008，42(1):20-23．Wei D L，Cui Z S，Yang C G， et al．Robust regression stochastic response surface method and tolerance prediction for stamping process[J]．Journal of Shanghai Jiaotong University，2008， 42(1):20-23．
［10］刘维，吴建军，彭永前．基于响应面模型的多工步成形零件优化设计[J]．锻压技术，2011，36(1):157-160．Liu W，Wu J J，Peng Y Q．Optimum design of multi-step forming part based on response surface model[J]．Forming & Stamping Technology，2011，36(1):157-160．
［11］夏建新，王雷刚，黄瑶．基于综合设计的覆盖件冲压工艺优化[J]．锻压技术，2009，34(3):37-40．Xia J X，Wang L G，Huang Y．Process optimization of panel stamping based on intergated design[J]．Forming & Stamping Technology，2009，34(3):37-40．
［12］Parkinson A，Sorensen C，Pourhassan N．A general approach for robust optimal design[J]．Trans，of the ASME，Journal of Mechanical Design，1993，115(1):74-80．
［13］Joachim Danckert．Experiment investigation of a square-cup deep-drawing[J]．Journal of Materials Processing Technology，1995，50(1-4):257-264．
［14］崔杰，张维刚，常伟波，等．基于双响应面模型的碰撞安全性稳健优化设计[J]．机械工程学报，2011，47(24)：97-103．Cui J，Zhang W G，Chang W B，et al．Robustness optimization for crash safety based on dual-response surface model[J]．Chinese Journal of Mechanical Engineering， 2011，47(24)：97-103．

服务与反馈：

【文章下载】【加入收藏】