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一种变可信度多输出近似模型及其工程应用

A variable-fidelity multi-output surrogate model and its engineering application

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【作者】 张立丽; 林泉; 张安付; 胡杰翔;

【Author】 ZHANG Lili;LIN Quan;ZHANG Anfu;HU Jiexiang;School of Mechanical and Electrical Engineering,Wuhan Institute of Technology;School of Aerospace Engineering,Huazhong University of Science and Technology;Wuhan Second Ship Design and Research Institute;

【通讯作者】 林泉;

【机构】 武汉工程大学机电工程学院; 华中科技大学航空航天学院; 武汉第二船舶设计研究所;

【摘要】 针对变可信度近似模型普遍聚焦于单一输出场景建模,在解决多输出问题时人为割裂了输出之间的相关性,导致有用信息丢失的问题,提出了一种变可信度多输出近似模型,通过多输出高斯过程捕获输出间的潜在相关性,并采用变可信度近似建模框架融合多精度数据,从而有效处理多精度数据下的多输出预测问题.通过三个数值算例和超材料隔振器性能预测案例验证了提出的模型方法的有效性,并与目前两种主流的变可信度近似建模方法对比,结果表明:所提出模型在多输出预测问题上整体性能优于现有方法,在超材料隔振器性能预测中,所提出方法较现有变可信度近似模型在全局精度和局部精度方面均得到显著改善.

【Abstract】 Aiming at the problem that current variable-fidelity surrogate model(VFSM) approaches focused on the modeling of a single output scenario,and the latent correlation across outputs was cut off artificially when solving multi-output problems,leading to the loss of some useful information,a variable-fidelity multi-output surrogate modeling approach was proposed. The latent correlation across outputs was captured by multi-output Gaussian process,and the variable-fidelity data were fused by VFSM framework. Hence,the proposed approach could deal with variable-fidelity multi-output prediction problems efficiently. The effectiveness of the proposed model was verified using three numerical examples and an engineering case in the performance predictions of a metamaterial vibration isolator,and the proposed approach was also compared with two mainstream VFSM approaches.Results show that the proposed approach shows a better overall performance compared with the existing approaches in the predictions of multiple outputs,and in the performance predictions of the metamaterial vibration isolator,the proposed method demonstrates substantial enhancements in both global accuracy and local accuracy compared with the existing VFSM approaches.

【基金】 国家重点研发计划资助项目(2023YFB3406900);国家自然科学基金资助项目(52405269,52305277);中国博士后科学基金资助项目(2024M761000);武汉工程大学科学研究基金项目(K2023068)
  • 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2025年12期
  • 【分类号】TB472;TB535.1
  • 【下载频次】14
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