Computational Analysis of Gear Meshing Excitations Considering Surface Roughness and Oil Film Effects
DOI:
https://doi.org/10.54097/t973mf56Keywords:
Gear Surface Topography, Oil Film Stiffness, Time-varying Meshing Stiffness (TVMS), Static Transmission Error (STE)Abstract
Accurately predicting gear meshing excitation is crucial for high-performance transmission fatigue design and noise optimization. To address the frequently overlooked topography-lubrication coupling, this paper presents a loaded tooth contact analysis (LTCA) model integrating ground surface features and oil film stiffness. Utilizing the finite element substructure method, the model combines a non-uniform sinusoidal function for surface waviness with the Dowson-Higginson film thickness formula. Results show that higher grinding wheel speeds enhance surface quality, bringing time-varying meshing stiffness (TVMS) and static transmission error (STE) levels closer to ideal smooth surfaces. Conversely, increased axial feed rates or fluctuation amplitudes deepen surface textures, causing stiffness attenuation and a significant STE amplitude surge. Additionally, higher lubricant viscosity, pressure-viscosity coefficients, or driving gear speeds thicken the oil film, reducing equivalent stiffness and elevating global transmission error. Crucially, the roughness-oil film coupling causes the most severe stiffness loss. This study offers a precise theoretical foundation for predicting precision gear system contact characteristics.
Downloads
References
[1] Yang Y, Cao L, Li H, et al. Nonlinear dynamic response of a spur gear pair based on the modeling of periodic mesh stiffness and static transmission error[J]. Applied Mathematical Modelling, 2019, 72: 444-469.
[2] Owolabi O I, Madushele N, Adedeji P A, et al. Time-varying meshing stiffness investigation of faulty wind turbine sun gear under dynamic conditions[C]//2023 2nd International Conference on Power Systems and Electrical Technology (PSET). IEEE, 2023: 23-29.
[3] Zhou W, Zhu R, Liu W, et al. An improved dynamic transmission error model applied on coupling analysis of gear dynamics and elastohydrodynamic lubrication[J]. Journal of Tribology, 2022, 144(5): 051601.
[4] Ma D, Jiang B, Ye Z, et al. Meshing stiffness characteristics of modified variable hyperbolic circular-arc-tooth-trace cylindrical gears [J]. Mechanical Sciences, 2024, 15(1): 395-405.
[5] Zhang Y. New film thickness equation for elastohydrodynamic lubrication of isothermal smooth line contacts under heavy loads for Newtonian fluids[J]. Advanced Science, Engineering and Medicine, 2013, 5(2): 182-186.
[6] Wen S Z, Huang P. Principles of Tribology [M]. Beijing: Tsinghua University Press, 2002.
[7] Nan M M. Research on Influence of Tooth Surface Friction on Dynamic Response of Gear Systems [D]. Xi'an: Northwestern Polytechnical University, 2020. (in Chinese)
[8] Yu Y J, Chen G D, Li J S. Research on stiffness characteristics of high speed angular-contact ball bearing considering elastohy-drodynamic lubrication effect[J]. Journal of North-Western Polytechnical University, 2016, 34(1): 125-131.
[9] Du Z L. Research on Dynamic Characteristics of Herringbone Gear Transmission System Considering Tooth Surface Waviness [D]. Xi'an: Northwestern Polytechnical University, 2025. (in Chinese)
[10] Chang L, Tian H, et al. A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory[J]. Journal of Mechanical Transmission, 2018, 42(08):61-64+79.DOI:10.16578/j. issn.1004. 2539.2018.08.012.
[11] Luis J F. Mirone: A multi-purpose tool for exploring grid data[J]. Computers & Geosciences, 2007, 33(1): 31-41.
[12] Chang L, He Z, Liu G. A generalized dynamic model for parallel shaft gear transmissions and the influences of dynamic excitations[D]. Northwestern Polytechnical University: Xi’an, China, 2014.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Academic Journal of Science and Technology

This work is licensed under a Creative Commons Attribution 4.0 International License.








