arXiv:2504.17354cs.CEcs.AI2025-04被引 1

用机器学习快速预测粗糙表面接触面积,提升多场景仿真效率。

Data-Driven Surrogate Modeling Techniques to Predict the Effective Contact Area of Rough Surface Contact Problems

  • 基于机器学习构建代理模型,输入为载荷与粗糙度参数,输出接触面积。
  • 核岭回归器在精度与速度上平衡最佳,预测时间短且训练开销小。
  • 模型可推广至新工况,适合需要大量重复计算的仿真任务。

粗糙表面接触的有效接触面积在磨损、密封及热/电传导等多物理场现象中起关键作用。尽管边界元法(BEM)等数值方法可精确计算该量,但其高计算成本限制了在不确定性量化、参数识别和多尺度算法等需多次评估场景中的应用。本文提出一种数据驱动的代理建模框架,利用快速计算的机器学习技术预测有效接触面积。通过预生成数据集训练多种算法,输入为施加载荷与统计粗糙度参数,输出为对应接触面积。所有模型经超参数优化,以预测精度与计算效率进行公平比较。核岭回归器表现最优,兼具高精度、低预测时间与小训练开销,是通用代理模型的有力候选。高斯过程回归器在需不确定性量化时更优,但因方差估计带来额外开销。核岭回归模型在未见过的仿真场景中验证了良好泛化能力,证明其可迁移至新配置。数据库生成是代理建模的主要成本,但整体方法在多查询任务中仍具实用性与高效性。

原文摘要 · Abstract (English)

The effective contact area in rough surface contact plays a critical role in multi-physics phenomena such as wear, sealing, and thermal or electrical conduction. Although accurate numerical methods, like the Boundary Element Method (BEM), are available to compute this quantity, their high computational cost limits their applicability in multi-query contexts, such as uncertainty quantification, parameter identification, and multi-scale algorithms, where many repeated evaluations are required. This study proposes a surrogate modeling framework for predicting the effective contact area using fast-to-evaluate data-driven techniques. Various machine learning algorithms are trained on a precomputed dataset, where the inputs are the imposed load and statistical roughness parameters, and the output is the corresponding effective contact area. All models undergo hyperparameter optimization to enable fair comparisons in terms of predictive accuracy and computational efficiency, evaluated using established quantitative metrics. Among the models, the Kernel Ridge Regressor demonstrates the best trade-off between accuracy and efficiency, achieving high predictive accuracy, low prediction time, and minimal training overhead-making it a strong candidate for general-purpose surrogate modeling. The Gaussian Process Regressor provides an attractive alternative when uncertainty quantification is required, although it incurs additional computational cost due to variance estimation. The generalization capability of the Kernel Ridge model is validated on an unseen simulation scenario, confirming its ability to transfer to new configurations. Database generation constitutes the dominant cost in the surrogate modeling process. Nevertheless, the approach proves practical and efficient for multi-query tasks, even when accounting for this initial expense.

代理模型粗糙表面机器学习接触力学

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