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首页> 外文期刊>Metals >Multi-Objective Parameter Optimization for Cross-Sectional Deformation of Double-Ridged Rectangular Tube in Rotary Draw Bending by Using Response Surface Methodology and NSGA-II
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Multi-Objective Parameter Optimization for Cross-Sectional Deformation of Double-Ridged Rectangular Tube in Rotary Draw Bending by Using Response Surface Methodology and NSGA-II

机译：基于响应面法和NSGA-II的双端矩形管横拉弯截面变形多目标参数优化

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Cross-sectional deformation of double-ridged rectangular tube (DRRT) inevitably occurs due to the inhomogeneous deformation induced by external boundary conditions in rotary draw bending (RDB). Unreasonable factor combination would aggravate the cross-sectional deformation of DRRT. So, a powerful and efficient method combining Response Surface Methodology (RSM) and Non-Sorted Genetic Algorithm II (NSGA-II) was proposed to optimize the factors to control the cross-sectional deformation of DRRT in RDB. Firstly, an orthogonal experiment was used to screen out the important factors. It was obtained that three factors—clearance between DRRT and mandrel, clearance between DRRT and bending die, and boosting of pressure die—have an important influence on the cross-sectional deformation of DRRT. It can also be observed that the variation trend of flange sagging (FS) is always consistent with that of space deformation between ridges (SDR) with the changing of factors. RSM based on a Box-Behnken design was then used to establish response surface models. The proposed response surface models were used to analyze the relationship of the important parameters to the responses, such as space deformation between ridges, and width deformation of outer and inner ridge grooves (WDO and WDI). Finally, multi-objective parameter optimization for the cross-sectional deformation of DRRT in RDB was performed by using the established model and NSGA-II algorithm. The interaction of responses was revealed and the value range of each response in the space of Pareto optimal solutions was determined. It can be observed that there is always an evident conflict between SDR and WDO in the space of Pareto optimal solutions. By using this optimization method, the absolute values of SDR and WDI were significantly reduced—by 13.17% and 17.97%, respectively—compared with those before optimization, while WDO just increase only a little.
机译：双脊矩形管（DRRT）的横截面变形不可避免地是由于旋转拉伸弯曲（RDB）中外部边界条件引起的不均匀变形而发生的。不合理的因素组合会加剧DRRT的横截面变形。因此，提出了一种将响应面方法论（RSM）和非排序遗传算法II（NSGA-II）相结合的强大而有效的方法，以优化控制RDB中DRRT截面变形的因素。首先，通过正交试验筛选出重要因素。结果表明，DRRT与心轴之间的间隙，DRRT与弯曲模具之间的间隙以及压力模具的升压这三个因素对DRRT的截面变形具有重要影响。还可以观察到，随着因素的变化，凸缘下垂（FS）的变化趋势始终与脊间空间变形（SDR）的趋势一致。然后使用基于Box-Behnken设计的RSM建立响应面模型。提出的响应面模型用于分析重要参数与响应之间的关系，例如脊之间的空间变形以及内，外脊槽的宽度变形（WDO和WDI）。最后，利用所建立的模型和NSGA-II算法，对RDB中DRRT的截面变形进行了多目标参数优化。揭示了响应的相互作用，并确定了帕累托最优解空间中每个响应的值范围。可以看出，在帕累托最优解的空间内，SDR和WDO之间总是存在明显的冲突。通过使用这种优化方法，与优化前相比，SDR和WDI的绝对值分别降低了13.17％和17.97％，而WDO仅略有增加。

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