用多保真度贝叶斯优化提升吸能结构设计效率,性能比传统方法高11%。
Multi-fidelity Bayesian Data-Driven Design of Energy Absorbing Spinodoid Cellular Structures
- 结合低精度仿真与高精度仿真,构建多保真度优化框架
- 在不同超参数下,多保真度方法使吸能率提升最高达11%
- 采用Sobol采样与敏感性分析,降低设计复杂度,适合工程优化场景
有限元(FE)模拟的精度不断提高,但计算成本也随之上升。与此同时,数据驱动设计的需求日益增长。为调和这一矛盾,贝叶斯优化(BO)因其高效性被广泛用于优化高成本目标函数。此外,通过调整FE模型的网格宽度,可实现不同保真度(成本与精度)下的目标评估。将多保真度策略引入贝叶斯优化,即多保真度贝叶斯优化(MFBO),已有成功应用。然而,针对真实工程问题如吸能型旋钮状晶格结构的设计,尚未有BO与MFBO的直接对比。同时,采样质量及设计参数敏感性分析在数据驱动设计中常被忽视。本文通过引入Sobol采样与基于方差的敏感性分析,降低设计复杂度,并系统实现、应用与比较了BO与MFBO在最大化旋钮状结构能量吸收(EA)性能上的表现。结果表明,MFBO在多种超参数设置下均优于标准BO,性能提升最高达11%。研究结果已开源,验证了多保真度技术在昂贵数据驱动设计中的有效性。
原文摘要 · Abstract (English)
Finite element (FE) simulations of structures and materials are getting increasingly more accurate, but also more computationally expensive as a collateral result. This development happens in parallel with a growing demand of data-driven design. To reconcile the two, a robust and data-efficient optimization method called Bayesian optimization (BO) has been previously established as a technique to optimize expensive objective functions. In parallel, the mesh width of an FE model can be exploited to evaluate an objective at a lower or higher fidelity (cost & accuracy) level. The multi-fidelity setting applied to BO, called multi-fidelity BO (MFBO), has also seen previous success. However, BO and MFBO have not seen a direct comparison with when faced with with a real-life engineering problem, such as metamaterial design for deformation and absorption qualities. Moreover, sampling quality and assessing design parameter sensitivity is often an underrepresented part of data-driven design. This paper aims to address these shortcomings by employing Sobol' samples with variance-based sensitivity analysis in order to reduce design problem complexity. Furthermore, this work describes, implements, applies and compares the performance BO with that MFBO when maximizing the energy absorption (EA) problem of spinodoid cellular structures is concerned. The findings show that MFBO is an effective way to maximize the EA of a spinodoid structure and is able to outperform BO by up to 11% across various hyperparameter settings. The results, which are made open-source, serve to support the utility of multi-fidelity techniques across expensive data-driven design problems.
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