Influence of lubrication starvation and surface waviness on the oil film stiffness of elastohydrodynamic lubrication line contact

Stiffness properties of interfacial engineering surfaces are of great importance to the dynamic performance of relevant mechanical systems. Normal contact stiffness and oil film stiffness of line contact problems are studied in this work analytically and numerically. The Hertzian contact theory and the Yang–Sun method are applied to predict the contact stiffness, while the empirical elastohydrodynamic lubrication (EHL) film thickness method and the complete numerical EHL model are used to predict the oil film stiffness. The numerical model mainly consists of the Reynolds equation; the film thickness equation, in which the regular surface roughness is taken into consideration; the force balance equation; and the viscosity-pressure equation. The effects of the normal load, rolling speed, regular surface waviness, and starved lubrication level on the oil film stiffness are investigated.

[1]  Huaiju Liu,et al.  Starved lubrication of a spur gear pair , 2016 .

[2]  Sheng Li,et al.  A thermal tribo-dynamic mechanical power loss model for spur gear Pairs , 2015 .

[3]  Bernd Bertsche,et al.  Experimental study on transmission rattle noise behaviour with particular regard to lubricating oil , 2015 .

[4]  W. Qin,et al.  Study on stiffness of elastohydrodynamic line contact , 2015 .

[5]  David Dureisseix,et al.  Characteristic times in transient thermal elastohydrodynamic line contacts , 2015 .

[6]  Sujan Dhar,et al.  A novel FSI–thermal coupled TEHD model and experimental validation through indirect film thickness measurements for the lubricating interface in external gear machines , 2015 .

[7]  Hugh Spikes,et al.  Basics of EHL for practical application , 2015 .

[8]  Caichao Zhu,et al.  Research on dynamical characteristics of wind turbine gearboxes with flexible pins , 2014 .

[9]  Ming J. Zuo,et al.  Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set , 2014 .

[10]  Wassim Habchi,et al.  Reduced order finite element model for elastohydrodynamic lubrication: Circular contacts , 2014 .

[11]  Sheng Li,et al.  A tribo-dynamic model of a spur gear pair , 2013 .

[12]  Dong Zhu,et al.  Effect of Roughness Orientation on the Elastohydrodynamic Lubrication Film Thickness , 2013 .

[13]  Huaiju Liu,et al.  Lubricated contact analysis of a spur gear pair with dynamic loads , 2013 .

[14]  Xiangyang Xu,et al.  Spur Gear Lubrication Analysis with Dynamic Loads , 2013 .

[15]  Zhao Chen,et al.  Experimental study of the transient thermal effect and the oil film thickness of the equalizing thrust bearing in the process of start-stop with load , 2013 .

[16]  Hamid M. Lankarani,et al.  Compliant contact force models in multibody dynamics : evolution of the Hertz contact theory , 2012 .

[17]  Caichao Zhu,et al.  Parametric studies of spur gear lubrication performance considering dynamic loads , 2012 .

[18]  Peter K. Jimack,et al.  Computational approaches for modelling elastohydrodynamic lubrication using multiphysics software , 2012 .

[19]  Ian Howard,et al.  Calculation of the Combined Torsional Mesh Stiffness of Spur Gears with Two- and Three-Dimensional Parametrical FE Models , 2011 .

[20]  S. Stupkiewicz Finite element treatment of soft elastohydrodynamic lubrication problems in the finite deformation regime , 2009 .

[21]  H Rahnejat,et al.  Non-linear vibro-impact phenomenon belying transmission idle rattle , 2008 .

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

[23]  B. Bhushan,et al.  A Review of Nanoindentation Continuous Stiffness Measurement Technique and Its Applications , 2002 .

[24]  Ian Howard,et al.  THE DYNAMIC MODELLING OF A SPUR GEAR IN MESH INCLUDING FRICTION AND A CRACK , 2001 .

[25]  R. Parker,et al.  Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model , 2000 .

[26]  Amelio,et al.  Quantitative determination of contact stiffness using atomic force acoustic microscopy , 2000, Ultrasonics.

[27]  R. C. Coy,et al.  Relationship between mechanical properties and structures of zinc dithiophosphate anti–wear films , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[28]  Kathryn J. Wahl,et al.  Nanoindentation and contact stiffness measurement using force modulation with a capacitive load-displacement transducer. , 1999 .

[29]  Duncan Dowson,et al.  Modelling of Elastohydrodynamic Lubrication of Real Solids by Real Lubricants , 1998 .

[30]  H. Moes,et al.  Optimum similarity analysis with applications to elastohydrodynamic lubrication , 1992 .

[31]  George M. Pharr,et al.  On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation , 1992 .

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

[33]  Wen Shizhu,et al.  A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication , 1990 .

[34]  D. C. H. Yang,et al.  A Rotary Model for Spur Gear Dynamics , 1985 .

[35]  J. Barbera,et al.  Contact mechanics , 1999 .

[36]  K. Johnson Contact Mechanics: Frontmatter , 1985 .

[37]  D. Dowson,et al.  Elasto-hydrodynamic lubrication : the fundamentals of roller and gear lubrication , 1966 .