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Volume 13
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10.3390/machines13030230
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Article

Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters

by
Jinzhou Song
1,
Lei Hou
1,*,
Rui Ma
2,
Zhonggang Li
1,
Rongzhou Lin
1,
Yi Chen
1,
Yushu Chen
1 and
Nasser A. Saeed
1,3,4
1
School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
2
School of Mechanical Science and Engineering, Northeast Petroleum University, Daqing 163000, China
3
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt
4
Applied Science Research Center, Applied Science Private University, Amman 11937, Jordan
*
Author to whom correspondence should be addressed.
Machines 2025, 13(3), 230; https://doi.org/10.3390/machines13030230
Submission received: 15 February 2025 / Revised: 6 March 2025 / Accepted: 7 March 2025 / Published: 12 March 2025
(This article belongs to the Special Issue Nonlinear Dynamics, Vibration Monitoring and Fault Diagnostics in Rotating Systems)
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Abstract

The nonlinear contact force between gears and bearings exhibits intricate dynamics. This paper focuses on the coupling relationship between the time-varying meshing parameters of the gears, dynamic backlash, and dynamic bearing clearance in gear-bearing transmission systems. A dynamic model of a gear-bearing transmission system considering dynamic meshing parameters is established. The coupling mechanism between meshing stiffness, gear backlash, bearing clearance, and gear vibration response in gear transmission systems is analyzed. The results demonstrate a negative correlation between the gears’ geometric center distance and meshing stiffness amplitude. Gear vibration can affect the relative position of the gears. Changes in the relative position of the gears lead to an increase in the number of frequency components in the frequency domain of gear meshing stiffness. During gear rotation, the meshing parameters of the gears and tooth side clearance fluctuate with gear vibration. With increasing speed, the model’s dynamic meshing parameters also increase accordingly. The model achieves a feedback calculation of the system parameters and vibration responses in gear-bearing system dynamics.
Keywords: nonlinear dynamics; dynamic meshing parameters; meshing stiffness; dynamic backlash; dynamic bearing clearance nonlinear dynamics; dynamic meshing parameters; meshing stiffness; dynamic backlash; dynamic bearing clearance

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MDPI and ACS Style

Song, J.; Hou, L.; Ma, R.; Li, Z.; Lin, R.; Chen, Y.; Chen, Y.; Saeed, N.A. Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters. Machines 2025, 13, 230. https://doi.org/10.3390/machines13030230

AMA Style

Song J, Hou L, Ma R, Li Z, Lin R, Chen Y, Chen Y, Saeed NA. Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters. Machines. 2025; 13(3):230. https://doi.org/10.3390/machines13030230

Chicago/Turabian Style

Song, Jinzhou, Lei Hou, Rui Ma, Zhonggang Li, Rongzhou Lin, Yi Chen, Yushu Chen, and Nasser A. Saeed. 2025. "Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters" Machines 13, no. 3: 230. https://doi.org/10.3390/machines13030230

APA Style

Song, J., Hou, L., Ma, R., Li, Z., Lin, R., Chen, Y., Chen, Y., & Saeed, N. A. (2025). Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters. Machines, 13(3), 230. https://doi.org/10.3390/machines13030230

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