基于响应面法的板料成形容差稳健设计

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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。 In order to increase the service life and stability of sheet metal products and reduce the fluctuation of uncontrollable factors, a robust design is needed. The traditional robust design does not take into account the interaction between controllable and uncontrolled factors, resulting in a failure to guarantee the robustness of sheet metal products. Combined with the response surface method and tolerance robust model, considering the interaction between controllable and uncontrollable factors, NUMISHEET93 square box was taken as an example to optimize the design. The central composite design method is used to create a response surface model that includes controllable factors and uncontrollable factors. The objective function and the mean and variance of the constraint function are used to establish a robust tolerance model with interactions. The optimization results are compared with the deterministic optimization results Monte Carlo simulation and comparison. The results show that the robustness of the formed parts is significantly improved, which shows that the robust optimization method is feasible in the field of sheet metal forming.
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