【摘要】 为了研究润滑对两圆柱体结合面接触承载能力的影响,文章引入弹性流体动压润滑理论,在分形理论M-B接触模型的基础上,结合弹性流体动压润滑机理,利用雷诺方程、Grubin积分法以及Hamrack关于最小油膜厚度的修正公式,推导了考虑弹性流体动压润滑状态下的两圆柱体结合面分形接触模型。通过Matlab仿真发现,弹性流体动压润滑能明显地减小圆柱体结合面接触应力,且随着润滑油膜厚度的增加,接触应力上升;随着粗糙度幅值减小、分形维数增加、啮合曲率半径变大,两圆柱体间的接触应力减小,且外啮合比内啮合时的接触应力大。该文将润滑因素引入圆柱体分形接触模型中,为后续进行真实工况下的齿轮接触分析奠定了一定的理论基础。更多还原

【Abstract】 In order to study the influence of lubrication on the contact strength between two cylinders,the fractal contact strength model considering the elasto-hydrodynamic lubrication was derived by Reynolds equation,Grubin integral method and Hamrack correction formula of minimum oil film thickness based on the elasto-hydrodynamic lubrication theory,M-B fractal contact model and elastohydrodynamic lubrication mechanism.The numerical results in Matlab show that the contact stress between two cylinder surfaces is obviously reduced with the elasto-hydrodynamic lubrication;the contact stress increases with the growth of the thickness of lube film;the contact stress between the two cylinders reduces as the roughness amplitude decreases and the fractal dimension and meshing radius of curvature rises;the contact stress with the external meshing is larger than that with internal meshing.The introduction of lubrication factor into the fractal contact model for cylinders can lay a theoretical foundation for subsequent analysis of gear contact under the real working conditions.更多还原