Thermo-elastohydrodynamic lubrication simulation of the Rayleigh step bearing using the progressive mesh densification method

The paper deals with the numerical simulation of thermo-elastohydrodynamic lubrication (Thermo-EHL) condition in the Rayleigh step bearing. Thermo-EHL involves rheology of the lubricant and deformation of the structure simultaneously under the influence of pressure and temperature, which makes this regime of lubrication more complicated. It is difficult to obtain a converged and accurate solution with ease under this condition. The effect of computational mesh density plays a significant role in obtaining a converged solution rapidly. In this paper, the progressive mesh densification (PMD) method has been applied to solve the Thermo-EHL condition numerically. To find out the best possible scheme of PMD for obtaining a converged solution quickly, the results of PMD and fixed mesh density (FMD) have been compared. Based on the comparison, it has been observed that Scheme 3 of PMD takes around 30% fewer iterations compared with FMD under both elastohydrodynamic lubrication (EHL) and Thermo-EHL conditions. Adopting Scheme 3 of PMD, the effect of temperature on the load capacity, coefficient of friction, no-pressure zone, and pressure distribution in the Rayleigh step bearing has been studied. Reductions in pressure, no-pressure zone, frictional coefficient, and load capacity are observed under the Thermo-EHL condition compared to the EHL condition.

[1]  Subrata Ghosh,et al.  Effect of surface roughness and deformation on Rayleigh step bearing under thin film lubrication , 2017 .

[2]  G. Ramanaiah,et al.  Effect of bearing deformation on the characteristics of a slider bearing , 1982 .

[3]  F. Sadeghi,et al.  Three-Dimensional Temperature Distribution in EHD Lubrication: Part I—Circular Contact , 1992 .

[4]  H. P. Evans,et al.  The elastohydrodynamic lubrication of point contacts at heavy loads , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  Yuanzhong Hu,et al.  Effects of Differential Scheme and Mesh Density on EHL Film Thickness in Point Contacts , 2006 .

[6]  C. Ettles,et al.  Paper 17: A Self-Acting Parallel Surface Thrust Bearing , 1967 .

[7]  Progressive Mesh Densification Method for Numerical Solution of Mixed Elastohydrodynamic Lubrication , 2016 .

[8]  H. Peeken,et al.  The combined effect of surface roughness and elastic deformation in the hydrodynamic slider bearing problem , 1985 .

[9]  G. R. Higginson,et al.  Paper 1: The Theoretical Effects of Elastic Deformation of the Bearing Liner on Journal Bearing Performance , 1965 .

[10]  C. J. Hooke,et al.  The Effect of Elastic Distortions on Journal Bearing Performance , 1967 .

[11]  A. A. Lubrecht,et al.  The numerical solution of the elastohydrodynamically lubricated line- and point contact problem, using multigrid techniques , 1987 .

[12]  D. Dowson,et al.  Isothermal Elastohydrodynamic Lubrication of Point Contacts: Part II—Ellipticity Parameter Results , 1976 .

[13]  A Limiting Solution for the Dependence of Film Thickness on Velocity in EHL Contacts with Very Thin Films , 2005 .

[14]  Steve M. Rohde,et al.  A Thermoelastohydrodynamic Analysis of a Finite Slider Bearing , 1975 .

[15]  D. Dowson,et al.  Isothermal Elastohydrodynamic Lubrication of Point Contacts: Part 1—Theoretical Formulation , 1975 .

[16]  Fumihiro Itoigawa,et al.  Isoviscous-EHL mechanism of parallel slide-way with oil groove , 1999 .

[17]  Dong Zhu,et al.  Point Contact EHL Based on Optically Measured Three-Dimensional Rough Surfaces , 1997 .

[18]  B. J. Hamrock,et al.  Fast Approach for Calculating Film Thicknesses and Pressures in Elastohydrodynamically Lubricated Contacts at High Loads , 1986 .

[19]  C. Venner.  Multilevel solution of the EHL line and point contact problems , 1991 .

[20]  H. I. Waterman,et al.  The Viscosity-Temperature-Pressure Relationship of Lubricating Oils and Its Correlation With Chemical Constitution , 1963 .

[21]  A. Cameron,et al.  Studies in hydronamic thrust bearings I. Theory considering thermal and elastic distortions , 1975, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[22]  Fletcher Osterle,et al.  The Effect of Bearing Deformation in Slider-bearing Lubrication , 1958 .

[23]  R. Malvano,et al.  Elastohydrodynamic lubrication in a plane slider bearing , 1986 .

[24]  H. P. Evans,et al.  Inverse Solution of Reynolds’ Equation of Lubrication Under Point-Contact Elastohydrodynamic Conditions , 1981 .

[25]  Theodor E. Carl.  Paper 19: An Experimental Investigation of a Cylindrical Journal Bearing under Constant and Sinusoidal Loading: , 1963 .

[26]  Cornelis H. Venner.  EHL Film Thickness Computations at Low Speeds: Risk of Artificial Trends as a Result of Poor Accuracy and Implications for Mixed Lubrication Modelling , 2005 .

[27]  C. M. McC. Ettles,et al.  Size effects in tilting pad thrust bearings , 1980 .

[28]  Ping Huang,et al.  Numerical Calculation of Lubrication , 2013 .

[29]  C. Hooke,et al.  The effect of elastic distortions on the performance of thin shell bearings , 1966 .

[30]  Tsunamitsu Nakahara,et al.  Experimental Investigation of Effects of Slip Ratio on Elastohydrodynamic Lubrication Film Related to Temperature Distribution in Oil Films , 2006 .

[31]  A. Cameron,et al.  Studies in hydronamic thrust bearings II. Comparison of calculated and measured performance of tilting pads by means of interferometry , 1975, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[32]  D. Zhu,et al.  On some aspects of numerical solutions of thin-film and mixed elastohydrodynamic lubrication , 2007 .

[33]  A. Cameron,et al.  The solution of the point contact elasto-hydrodynamic problem , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[34]  S. Jain,et al.  Effect of bearing pad deformation on the performance of finite fixed-pad slider bearings , 1982 .

[35]  A Full Numerical Solution for the Thermoelastohydrodynamic Problem in Elliptical Contacts , 1984 .

[36]  C. L. Robinson,et al.  Thermal and elastic distrotions in thrust bearings , 1971 .

[37]  E. W. Hemingway,et al.  The Measurement of Film Thickness in Thrust Bearings and the Deflected Shape of ‘Parallel’ Surface Thrust Pads , 1965 .

[38]  D. Dowson,et al.  Isothermal Elastohydrodynamic Lubrication of Point Contacts: Part III—Fully Flooded Results , 1976 .