Effect of tapered roller bearing supports on the dynamic behaviour of hypoid gear pair differentials

Noise and vibration refinement and energy efficiency are the key drivers in powertrain development. The final drive (the differential) is a source of vibration concern and also contributes to the powertrain inefficiency. To optimise differential characteristics for the key objectives of refinement and efficiency, detailed models of the gear interactions as well as the support bearing dynamics are required. This study reports the integrated lubricated bearing and gear contacts with an eight-degree-of-freedom dynamic analysis (a tribo-dynamic model). Non-Newtonian shear behaviour of thin lubricant-film conjunctions is taken into account in the integrated tribo-dynamic analysis, which has not hitherto been reported in the literature. The results show that the transmitted vibration spectra from the system onto the differential casing are dominated by the bearing frequencies rather than by those due to the meshing of gears. It is also shown that a sufficiently high bearing preload improves the vibration refinement but can lead to a marginally reduced transmission efficiency.

[1]  H Rahnejat,et al.  An investigation of manual transmission drive rattle , 2010 .

[2]  Donald R. Houser,et al.  Mathematical models used in gear dynamics—A review , 1988 .

[3]  Homer Rahnejat,et al.  Axle whine phenomenon in light trucks: a combined numerical and experimental investigation , 2011 .

[4]  Andrew V. Olver,et al.  The efficiency of a hypoid axle—a thermally coupled lubrication model , 2013 .

[5]  T. A. Harris,et al.  Advanced concepts of bearing technology , 2007 .

[6]  Teik C. Lim,et al.  Dynamics of a hypoid gear pair considering the effects of time-varying mesh parameters and backlash nonlinearity , 2007 .

[7]  Marco Amabili,et al.  DYNAMIC ANALYSIS OF SPUR GEAR PAIRS: STEADY-STATE RESPONSE AND STABILITY OF THE SDOF MODEL WITH TIME-VARYING MESHING DAMPING , 1997 .

[8]  Homer Rahnejat,et al.  Transmission efficiency and noise, vibration and harshness refinement of differential hypoid gear pairs , 2014 .

[9]  P. Dietl,et al.  Rolling bearing damping for dynamic analysis of multi-body systems—experimental and theoretical results , 2000 .

[10]  J. Greenwood,et al.  The Contact of Two Nominally Flat Rough Surfaces , 1970 .

[11]  Ahmet Kahraman,et al.  A load distribution model for hypoid gears using ease-off topography and shell theory , 2009 .

[12]  H. N. Özgüven,et al.  Dynamic analysis of high speed gears by using loaded static transmission error , 1988 .

[13]  J. F. Dunn,et al.  A theoretical analysis of the isothermal elastohydrodynamic lubrication of concentrated contacts. II. General case, with lubricant entrainment along either principal axis of the Hertzian contact ellipse or at some intermediate angle , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[14]  Homer Rahnejat,et al.  Clonk: An onomatopoeic response in torsional impact of automotive drivelines , 1999 .

[15]  I. Karagiannis,et al.  On the dynamics of lubricated hypoid gears , 2012 .

[16]  Teik C. Lim,et al.  DYNAMICS OF HYPOID GEAR TRANSMISSION WITH NON-LINEAR TIME-VARYING MESH , 2000 .

[17]  Li Yinong,et al.  Influence of Asymmetric Mesh Stiffness on Dynamics of Spiral Bevel Gear Transmission System , 2010 .

[18]  Homer Rahnejat,et al.  Transient mixed non-Newtonian thermo-elastohydrodynamics of vehicle differential hypoid gears with starved partial counter-flow inlet boundary , 2014 .

[19]  K L Johnson,et al.  Regimes of Traction in Elastohydrodynamic Lubrication , 1986 .

[20]  Homer Rahnejat,et al.  Multiphysics Investigations on the Dynamics of Differential Hypoid Gears , 2014 .

[21]  Minoru Nohara,et al.  Differences in Dynamic Behavior between Straight and Skew Bevel Gears. , 1997 .

[22]  S. Bair,et al.  Shear strength measurements of lubricants at high pressure , 1979 .

[23]  T. Lim,et al.  Dynamics of Coupled Nonlinear Hypoid Gear Mesh and Time-varying Bearing Stiffness Systems , 2011 .

[24]  Joshua Hurley AN EXPERIMENTAL INVESTIGATION OF THERMAL BEHAVIOR OF AN AUTOMOTIVE REAR AXLE , 2009 .

[25]  H. Rahnejat,et al.  Fundamentals Of Tribology , 2008 .

[26]  X. Q. Wang,et al.  A non-linear fluid force model for vortex-induced vibration of an elastic cylinder , 2003 .

[27]  Homer Rahnejat,et al.  The Vibrations of Radial Ball Bearings , 1985 .

[28]  S. J. Kim,et al.  EXPERIMENTAL IDENTIFICATION ON A GEAR WHINE NOISE IN THE AXLE SYSTEM OF A PASSENGER VAN , 2007 .

[29]  Iraj Mirzaee,et al.  A Mathematical-Numerical Model to Calculate Load Distribution, Contact Stiffness and Transmission Error in Involute Spur Gears , 2009 .

[30]  T D Gillespie,et al.  Fundamentals of Vehicle Dynamics , 1992 .

[31]  Homer Rahnejat,et al.  Gear teeth impacts in hydrodynamic conjunctions promoting idle gear rattle , 2007 .

[32]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[33]  Rajendra Singh,et al.  Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system , 1991 .

[34]  R. J. Comparin,et al.  Non-linear frequency response characteristics of an impact pair , 1989 .

[35]  Ahmet Kahraman,et al.  Prediction of friction-related power losses of hypoid gear pairs , 2007 .

[36]  R. Gohar,et al.  Elastohydrodynamic Lubrication of Finite Line Contacts , 1983 .

[37]  S. Theodossiades,et al.  Lightly loaded lubricated impacts: Idle gear rattle , 2007 .

[38]  E. Paul Remmers The Dynamics of Automotive Rear Axle Gear Noise , 1971 .

[39]  Rajendra Singh,et al.  Non-linear dynamics of a geared rotor-bearing system with multiple clearances , 1991 .

[40]  James R. Ottewill,et al.  An investigation into the effect of tooth profile errors on gear rattle , 2010 .

[41]  S. Theodossiades,et al.  NON-LINEAR DYNAMICS OF GEAR-PAIR SYSTEMS WITH PERIODIC STIFFNESS AND BACKLASH , 2000 .

[42]  Homer Rahnejat,et al.  Computational modelling of problems in contact dynamics , 1985 .

[43]  Homer Rahnejat,et al.  Elastohydrodynamic lubrication of hypoid gear pairs at high loads , 2012 .

[44]  Satoshi Kiyono,et al.  Analysis of Vibration of Bevel Gears , 1981 .

[45]  Teik C. Lim,et al.  Dynamic Analysis of Automotive Gearing Systems , 1992 .

[46]  Donald R. Houser,et al.  A Model to Predict Friction Losses of Hypoid Gears , 2005 .