Effect of Hertzian impact damping on hypoid gear dynamic response

This study presents an enhanced gear mesh model that considers effect of Hertzian impact damping on dynamic response of meshing hypoid gear pairs. First, a non-linear damping function based on coefficient of restitution is applied to a two degrees of freedom (DOF) hypoid gear model that considers just torsional coordinate to study its sensitivity to the change in damping coefficient. Then, two types of impact damping function including non-viscous and viscous damping model are introduced, which have more detailed expressions and realistic physical meanings. The differences between these two types of damping models are studied and compared.

[1]  C. Padmanabhan,et al.  Dynamics of a piecewise non-linear system subject to dual harmonic excitation using parametric continuation , 1995 .

[2]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 2: Dynamic Response , 1971 .

[3]  F. R. E. Crossley,et al.  Digital Simulation of Impact Phenomenon in Spur Gear Systems , 1977 .

[4]  Rajendra Singh,et al.  Non-linear dynamics of a spur gear pair , 1990 .

[5]  Rajendra Singh,et al.  Effect of nonlinear impact damping on the frequency response of a torsional system with clearance , 2005 .

[6]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 1: Formation of Dynamic Model , 1971 .

[7]  Junyi Yang,et al.  Nonlinear Dynamics of Driveline Systems with Hypoid Gear Pair , 2012 .

[8]  D. C. H. Yang,et al.  Hertzian damping, tooth friction and bending elasticity in gear impact dynamics , 1987 .

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

[10]  K. H. Hunt,et al.  Coefficient of Restitution Interpreted as Damping in Vibroimpact , 1975 .

[11]  Ahmed A. Shabana,et al.  A continuous force model for the impact analysis of flexible multibody systems , 1987 .

[12]  Jun Wang Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor Systems , 2007 .

[13]  T. W. Lee,et al.  On The Dynamics of Intermittent-Motion Mechanisms. Part 1: Dynamic Model and Response , 1983 .

[14]  R. G. Herbert,et al.  Shape and Frequency Composition of Pulses From an Impact Pair , 1977 .

[15]  F. R. E. Crossley,et al.  Multiple Impacts of a Ball Between Two Plates—Part 1: Some Experimental Observations , 1975 .

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

[17]  Tao Peng,et al.  Coupled Multi-body Dynamic and Vibration Analysis of Hypoid and Bevel Geared Rotor System , 2010 .