Calculation method for time-varying meshing stiffness of grease lubricated small module gear pairs

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (5) : 80-87.

VIBRATION AND MECHANICS SCIENCE

Calculation method for time-varying meshing stiffness of grease lubricated small module gear pairs

HU Bo*1,2, TAN Qingjie1, DONG Jianxiong1.2, XIAO Zeliang1,2, YIN Lairong1,2

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Abstract

Time-varying mesh stiffness is a crucial parameter in gear dynamics design and analysis. The lubricant filling the meshing tooth surface will change the contact characteristics of the gear pair, thereby affecting the time-varying mesh stiffness. The center distance of the small module gear pair is very small, and the angle of engagement, contact ratio and mesh stiffness are very sensitive to the center distance error. In light of the influence of the grease lubrication and center distance error on the contact characteristics of small module gears, the formula for calculating the oil film bearing stiffness was deduced in this study based on the elastohydrodynamic lubrication theory. Combining the potential energy method, a time-varying mesh stiffness calculation model for grease-lubricated gear pair was constructed to investigate the effects of the speed, viscosity and center distance error on the time-varying mesh stiffness. The research findings reveal that the secondary pressure peak and film thickness contraction phenomenon are evident in grease-lubricated small module gears, with the position of the peak shifting towards the exit with increasing load. The lubricating oil film filling the meshing tooth surfaces increases the contact area between meshing tooth surfaces, thereby enhancing the time-varying mesh stiffness of small module gear pair. On the contrary, the increase of center distance error will weaken the time-varying meshing stiffness of the gear pair. Oil viscosity enhances the strengthening effect of the oil film on the mesh stiffness of gear pairs with grease lubrication, but the increase of the gear speed weakens the mesh stiffness.

Key words

Small modulus gears / Grease lubrication / Mesh stiffness / Center distance error / Potential energy method.

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HU Bo1, 2, TAN Qingjie1, DONG Jianxiong1.2, XIAO Zeliang1, 2, YIN Lairong1, 2. Calculation method for time-varying meshing stiffness of grease lubricated small module gear pairs[J]. Journal of Vibration and Shock, 2025, 44(5): 80-87

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