Multi-fidelity optimization for sheet metal forming process
Multi-fidelity optimization for sheet metal forming process
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DOI：
10.1007/s00158-010-0596-5
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发表时间：
2011-07
影响因子：
3.9
通讯作者：
Guangyong Sun;Guangyao Li;Shiwei Zhou;W. Xu;Xujing Yang;Qing Li
中科院分区：
文献类型：
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作者：
Guangyong Sun;Guangyao Li;Shiwei Zhou;W. Xu;Xujing Yang;Qing Li
针对行业问题的传统设计优化通常需要多次运行昂贵的高保真有限元模型。多保真度技术通过将廉价的低保真度分析与更准确但更昂贵的高保真度解决方案相结合，提供了一种降低高昂计算成本的方法。本文提出了一种两阶段多保真方法，以更好地折衷低保真和高保真解决方案的使用。首先根据较少采样点处的高保真解和低保真解之间的比率或差异构建校正响应面（RS）。然后，低保真度分析进一步被移动最小二乘（MLS）近似代替，以提高其准确性。为了演示本设计过程，本文以汽车内板拉延筋约束力的多目标优化为例，其中高保真模型采用增量求解器，而低保真模型采用一步求解器。结果显着提高了优化板材无皱纹和断裂成形性的计算效率和精度。
Traditional design optimization for industry problems often requires many runs of costly high-fidelity finite element models. Multi-fidelity techniques offer a means to reducing prohibitive computational cost by combining cheap low-fidelity analyses with more accurate but more expensive high-fidelity solutions. This paper proposes a two-stage multi-fidelity method to better compromise the uses of low-fidelity and high-fidelity solutions. A correction response surface (RS) was first constructed based on the ratio or difference between high-fidelity and low-fidelity solutions at fewer sample points. Then the low-fidelity analysis is further replaced by a moving least square (MLS) approximation to enhance its accuracy. To demonstrate the present design procedure, multiobjective optimization of draw-bead restraining forces for an automobile inner panel is exemplified herein, where the high-fidelity model employs an incremental solver, while the low-fidelity model adopts a one-step solver. The results significantly improved the computational efficiency and accuracy of optimizing sheet-metal formability without wrinkle and fracture.