基于动态Kriging模型的板料成形工艺稳健设计
doi: 10.3969/j.issn.0258-2724.2014.01.025
Robust Design of Sheet Forming Process Based on Dynamic Kriging Model
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摘要: 为了减少冲压成形过程中不确定因素引起的成形质量波动,克服传统的静态代理模型方法全局近似精度低的问题,将有限元数值分析和稳健设计相结合,提出基于动态Kriging模型的冲压成形工艺稳健设计方法.对成形中可控因子进行初始实验设计,利用有限元分析获得冲压成形中各个目标对应的响应值及其方差,从而建立冲压成形的Kriging稳健模型.利用全局优化算法对当前模型进行优化,在优化过程中逐步更新实验设计和相应的代理模型,以提高代理模型在全局最优解附近的近似精度,直至优化迭代收敛.将该方法应用到NUMISHEET’ 93盒形件成形中进行稳健优化,结果表明,稳健性优化后的标准差从 0.012 2减少到0.008 1,将基于动态Kriging模型的稳健设计方法应用到板料成形中,取得了较好的效果.Abstract: In order to decrease the quality fluctuation in stamping caused by uncertain factors, and to increase the global approximation accuracy of the traditional static metamodel, a robust design approach for stamping forming process based on dynamic Kriging model was proposed, which combined the robust design with the finite element method. The controllable factors of forming were initially designed. Then, the objective values and their variance were obtained by finite element method, and the roust Kriging model was constructed for the stamping forming. In addition, the global optimization algorithm was employed to optimize the current metamodel to find the potential global optimum. During the optimization process, the design of experiment and corresponding metamodel were updated for improving the approximation accuracy around the global optimum until the global optimum was found under the convergence conditions. The optimization strategy was applied into cup forming in NUMISHEET' 93, and the results show that the standard deviation was reduced from 0.012 2 to 0.008 1 after robust optimization. Application of the robust method based on dynamic Kriging model to sheet forming can obtain satisfactory results.
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Key words:
- dynamic metamodel /
- Kriging model /
- sheet forming /
- robust design
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