基于PINN的液压泵油膜厚度求解方法OA
A PINN-based method for solving oil film thickness in hydraulic pumps
液压泵油膜厚度对润滑性能与工作可靠性具有重要影响,传统数值方法在处理复杂润滑模型时常面临计算效率低、对边界条件依赖性强等问题.为此,提出了一种基于物理信息神经网络(PINN)的液压泵流场建模求解方法,并将其应用于轴向柱塞泵转子-配流盘副的油膜厚度及润滑分析.该方法将雷诺方程、能量方程及混合润滑条件嵌入神经网络的损失函数中,实现物理规律与数据驱动的融合求解.研究结果表明:在典型工况下,PINN 方法能够在无需大量训练数据的情况下,有效求解油膜厚度分布,与数值方法结果吻合较好,相对误差平均值低于 10%,且计算效率显著提高.
The oil film thickness in hydraulic pumps significantly impacts their lubrication performance and operational reliability.Traditional numerical methods often face challenges such as low computational efficiency and strong dependence on boundary conditions when handling complex lubrication models.In order to study the oil film thickness and lubrication of the cylinder block/valve plate pair in axial piston pumps,this research suggests a physics-informed neural network(PINN)-based approach for modeling and solving hydraulic pump flow fields.This approach embeds the Reynolds equation,energy equation,and mixed lubrication conditions into the neural network's loss function,achieving a fusion of physical principles and data-driven solutions.Results demonstrate that under typical operating conditions,the PINN method effectively solves oil film thickness distributions without requiring extensive training data.With an average relative error of less than 10%,it shows high agreement with numerical approach findings while greatly increasing computing efficiency.
马仲海;于福林;尹方龙;展召彬;史俊强
北京工业大学 机械与能源工程学院,北京 100124北京工业大学 机械与能源工程学院,北京 100124北京工业大学 机械与能源工程学院,北京 100124北京机械工业自动化研究所有限公司 流体传动技术工程事业部,北京 100120北京机械工业自动化研究所有限公司 流体传动技术工程事业部,北京 100120
机械制造
物理信息神经网络液压泵转子-配流盘副雷诺方程油膜厚度
physics-informed neural networkhydraulic pumpcylinder block/valve plate pairReynolds equationoil film thickness
《北京航空航天大学学报》 2026 (8)
2720-2728,9
国家自然科学基金(52475044)国家重点实验室开发基金(KFJJ2024-01-01) National Natural Science Foundation of China(52475044)State Key Laboratory Development Fund(KFJJ2024-01-01)
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