Abstract

Based on the “Potential energy method”, the improved mesh stiffness calculation model of spur gear pair with actual involute and transition curve is proposed. Furthermore, the spalling effect, nonlinear contact stiffness, improved fillet-foundation stiffness, time-varying friction coefficient under mixed elasto-hydrodynamic lubrication (EHL) condition are assimilated into the model. Then the results of the improved mesh stiffness model are obtained by numerical simulation, in which the mesh stiffness under mixed EHL friction and the effect of height for spalled area on the mesh stiffness are comprehensively investigated.

Highlights

  • Time-varying meshing stiffness (TVMS) is an important stimulating factor of the gear system, the vibration and noise of the gear system are greatly affected by the meshing stiffness

  • The “potential energy method” [3,9] is applied in the study to obtain the TVMS of spur gear pair under mixed elasto-hydrodynamic lubrication (EHL) friction excitation with spalling effects

  • Where, L is the tooth width of spur gear, α is the pressure angle acting on gear tooth, u and S are illustrated in schematic diagram, the coefficients L∗, M∗, P∗, Q∗ can be obtained from the polynomial functions proposed in [1]

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Summary

Introduction

Time-varying meshing stiffness (TVMS) is an important stimulating factor of the gear system, the vibration and noise of the gear system are greatly affected by the meshing stiffness. Wan et al [10] improved the calculation process of mesh stiffness, and the dynamic model of gear-rotor system was proposed considering tooth root crack. Ma et al [11] proposed a dynamic model for cracked spur gear, the time-varying stiffness was calculated based on the model. Ma et al proposed improved time-varying mesh stiffness model of spur gears under cracked effect [16], and with tip relief [17]. The mesh stiffness calculation model of spur gear pair with spalling effect is proposed, in which the exact involute and transition curves of gear teeth, the nonlinear Hertzian contact stiffness, modified fillet-foundation stiffness, mixed EHL friction coefficient are fully considered. AN IMPROVED MESH STIFFNESS CALCULATION MODEL OF SPUR GEAR PAIR UNDER MIXED EHL FRICTION WITH SPALLING EFFECT.

Analytical method of TVMS for spur gear pair
Friction coefficients obtained by mixed elasto-hydrodynamic lubrication
Analytical method of gear tooth stiffness
Analytical method of nonlinear contact stiffness
Analytical method of improved gear foundation stiffness
Results and discussion
Conclusions
Full Text
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