程萌, 周奇, 魏骁, 王健, 陈伟. 面向低精度分析模型不可分层级的多保真度近似建模方法研究[J]. 中国舰船研究. DOI: 10.19693/j.issn.1673-3185.03980
引用本文: 程萌, 周奇, 魏骁, 王健, 陈伟. 面向低精度分析模型不可分层级的多保真度近似建模方法研究[J]. 中国舰船研究. DOI: 10.19693/j.issn.1673-3185.03980
Research on Multi-fidelity Surrogate Modeling Method of the problem with non-hierarchical low-fidelity analysis models[J]. Chinese Journal of Ship Research. DOI: 10.19693/j.issn.1673-3185.03980
Citation: Research on Multi-fidelity Surrogate Modeling Method of the problem with non-hierarchical low-fidelity analysis models[J]. Chinese Journal of Ship Research. DOI: 10.19693/j.issn.1673-3185.03980

面向低精度分析模型不可分层级的多保真度近似建模方法研究

Research on Multi-fidelity Surrogate Modeling Method of the problem with non-hierarchical low-fidelity analysis models

  • 摘要: 【目的】多保真度代理模型能够有效降低产品设计中的建模成本,为了放松多保真度近似建模方法对分析模型之间层级关系的假设,拓宽其实际工程应用场景,【方法】针对低精度分析模型不可分层级情形,提出了基于方差量化的多保真度近似建模方法,提出方法基于各组不可分层级低精度数据分别构建Kriging代理模型,根据其预测方差值量化每组低精度数据的不确定性,并对每组低精度数据进行评估加权以组合构建趋势函数,同时引入改进层次Kriging模型来融合高/低精度数据,使得趋势函数的修正系数能够根据设计空间形貌特征进行变化取值。通过典型数值算例对提出的方法进行测试,同时使用提出的方法开展了MI50-超材料隔振器的性能预报。【结果】数值算例测试结果表明提出的方法预测精度相比同类型方法提高85%以上。此外,隔振器的性能预报结果表明提出的方法预测精度相比同类型方法提高60%以上。【结论】提出方法在放松低精度分析模型之间层级关系的同时,能够充分挖掘低精度数据的有用信息,实现高精度分析模型和不可分层级低精度分析模型的有效融合。

     

    Abstract: Objectives The multi-fidelity surrogate (MFS) modeling technology can reduce the simulation cost during the design process of engineering product. Aim to relax the hierarchical relationship between LF (Low Fidelity) analysis models and broaden the engineering application of MFS, Methods a multi-fidelity surrogate modelling method based on variance-weighted sum (VWS-MFS) for the fusion of multiple non-hierarchical LF data is proposed. Based on non-hierarchical LF data, the proposed method builds LF surrogate models using Kriging technology. By quantifying the uncertainty of the LF surrogate models with variance, the non-hierarchical LF data are weighted to construct a trend function. In addition, the improved hierarchical Kriging (IHK) model is introduced to fuse the HF (High Fidelity) and LF data, enabling the correction coefficient of trend function changing throughout the design space. The proposed method is tested by 9 typical examples. Besides, the application of proposed method on the performance prediction of vibration isolator is carried out. Results According to the experimental results, the proposed method shows higher prediction accuracy than the similar method by more than 85 percent. Besides, the result of the application to vibration isolator shows that the accuracy of proposed method is significantly improved by more than 60 percent compared with the static prediction method. Conclusions The proposed method is able to integrate the HF analysis model and multiple non-hierarchical LF analysis models. While the hierarchical relationship between LF analysis models is relaxed, the information of LF data is mined to the maximum extent.

     

/

返回文章
返回