This paper presents a novel mixed visco-hyperelastic hydrodynamic lubrication model (MVHHLM) for water-lubricated rubber bearings (WLRBs). The model is based on a fractional order differential visco-hyperelastic model and integrates Persson's multi-scale contact theory and rubber friction theory, enabling accurate analysis of the mixed lubrication performance of WLRBs with a low equilibrium modulus. In this work, the validity of the hydrodynamic pressure prediction for WLRBs is supported by published experimental results. Additionally, the experimental and theoretical comparisons validate that the multi-scale rubber friction theory based on viscoelastic dissipation effectively predicts the friction coefficient of WLRBs, thereby confirming the effectiveness of the proposed model. Compared to the classical Greenwood and Tripp (GT) contact model, the present model considers the multi-scale characteristics of rough surfaces, which enables a more accurate description of the contact properties of randomly rough surfaces. The simulation results also demonstrate the necessity of replace traditional linear viscoelastic models with visco-hyperelastic models for rubber-like bearings. Furthermore, the influence of various parameters on the mixed lubrication performance of WLRB was further investigated. The findings demonstrate that the mixed lubrication performance of WLRBs can be improved by increasing the radius clearance and equilibrium modulus, reducing the characteristic scale and rubber thickness. Additionally, the influence of rotational speed on the mixed lubrication performance of WLRBs becomes more pronounced as the average relaxation time increases.

中文翻译：

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水润滑橡胶轴承的粘超弹性混合流体动力润滑模型


本文提出了一种用于水润滑橡胶轴承 （WLRB） 的新型混合粘超弹性流体动力润滑模型 （MVHHLM）。该模型基于分数阶差分粘超弹性模型，并集成了 Persson 的多尺度接触理论和橡胶摩擦理论，能够准确分析具有低平衡模量的 WLRB 的混合润滑性能。在这项工作中，已发表的实验结果支持了 WLRBs 动水压力预测的有效性。此外，实验和理论比较验证了基于粘弹性耗散的多尺度橡胶摩擦理论有效地预测了 WLRBs 的摩擦系数，从而验证了所提模型的有效性。与经典的 Greenwood 和 Tripp （GT） 接触模型相比，该模型考虑了粗糙表面的多尺度特性，能够更准确地描述随机粗糙表面的接触特性。仿真结果还表明，对于类橡胶轴承，有必要用粘-超弹性模型取代传统的线性粘弹性模型。此外，进一步研究了各种参数对 WLRB 混合润滑性能的影响。研究结果表明，通过增加半径间隙和平衡模量、减小特征氧化皮和橡胶厚度，可以提高 WLRBs 的混合润滑性能。此外，随着平均弛豫时间的增加，转速对 WLRBs 混合润滑性能的影响变得更加明显。