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

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