Dynamic Coupling Analysis of a Combined Reducer Consisting of Spiral Bevel Gear and Planetary Gear Train
Source abstract
Abstract
The combined reducer consisting of spiral bevel gear pair and planetary gear train is widely used in the aerospace field, and its dynamic performance seriously affects the fatigue life of the gears. However, there has been little research on the dynamic performance analysis of the combined gear reducer. In this paper, the coupling multibody dynamic models of spiral bevel gear pair and planetary gear train with and without bearing modules are established based on ADAMS software, respectively, and the influence of bearings on the dynamic performance of the coupling system is studied, and the analysis results are verified by experiments. The results demonstrate that the flexible bearings in the coupled system will induce a pronounced shaft swing that amplifies the combined reducer vibration. Because of the displacement of the sun gear, the meshing force of the planetary gear train fluctuates periodically at low frequency, which increases the maximum dynamic meshing force and is not conducive to its fatigue life. This low-frequency fluctuation can be greatly reduced by introducing additional bearings. In addition, dynamic testing confirms vibration spectral components include obvious shaft rotation frequencies except gear meshing frequencies, verifying the modeling accuracy and analytical methodology.
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Research context
OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Metallurgy and Material Forming
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167, China
School of Mechanical Engineering, Southeast University, Nanjing 211189, China
Funding
The National Key Research and Development Program of China
References (28)
Show source-provided references
1. Dinh, H.T., Pham, V.T., and Pham, Q.H. (, January 10–November). Spiral Bevel Gear Manufacturing Technology: A Review. Proceedings of the 3rd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2022), Can Tho, Vietnam.
2. Kinematic Analysis of Spatial Geared Mechanisms10.1115/1.4005596 ↗
3. (2019). Calculation of Load Capacity of Spur and Helical Gears—Part 1: Basic Principles, Introduction and General Influence Factors (Standard No. ISO 6336-1:2019).
4. Damping models identification of a spur gear pair10.1016/j.mechmachtheory.2018.01.002 ↗
5. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash10.1016/j.mechmachtheory.2008.05.008 ↗
6. Dynamic analysis for a planetary gear with time-varying pressure angles and contact ratios10.1016/j.jsv.2011.10.007 ↗
7. A dynamic model of a double-helical planetary gear set10.1016/j.mechmachtheory.2013.07.005 ↗
8. Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking10.1361/154770206X99343 ↗
9. Hu, Y., Li, G., Zhu, W., and Cui, J. (2020). An Elastic Transmission Error Compensation Method for Rotary Vector Speed Reducers Based on Error Sensitivity Analysis. Appl. Sci., 10.10.3390/app10020481 ↗
10. Jiang, N., Wang, S., Yang, A., Zhou, W., and Zhang, J. (2022). Transmission Efficiency of Cycloid–Pinion System Considering the Assembly Dimensional Chain. Appl. Sci., 12.10.3390/app122311917 ↗
11. Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash10.1016/j.chaos.2020.110387 ↗
12. Dynamic analysis of spiral bevel and hypoid gears with high-order transmission errors10.1016/j.jsv.2017.12.022 ↗
13. A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears10.1016/0094-114X(94)00049-Q ↗
14. Impacts of Misalignments on Mesh Behaviors of Face-Hobbed Hypoid Gear Considering System Deformation
15. Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system10.1016/j.mechmachtheory.2014.07.013 ↗
16. Dynamic modelling of differential bevel gear system in the presence of a defect10.1016/j.mechmachtheory.2019.04.007 ↗
17. Design and dynamic performance analysis of high-contact-ratio spiral bevel gear based on the higher-order tooth surface modification10.1016/j.mechmachtheory.2021.104312 ↗
18. and Amrin, A. (2025). Computerised analysis of non-conjugate spiral bevel gear mesh using an advanced and fast-converging tooth contact model. Sci. Rep., 15.10.1038/s41598-025-10140-9 ↗
19. Song, J., Wang, Y., Hou, L., Zhang, T., Zhang, M., Zhang, Z., Jiang, Y., Chen, Y., Lin, R., and Chen, Y.S. (2025). Reliability analysis of gear-bearing drive systems considering gear manufacturing and installation errors. Sci. Rep., 15.10.1038/s41598-025-06446-3 ↗
20. Modelling and Dynamic Analysis of the Spiral Bevel Gear-Shaft-Bearing-Gearbox Coupling System10.1155/2019/9065215 ↗
21. Measurement of FRFs of coupled geared rotor system and the development of an accurate finite element model10.1016/j.mechmachtheory.2018.01.010 ↗
22. Nonlinear time-varying dynamic analysis of a spiral bevel geared system10.1007/s11071-018-4170-9 ↗
23. Aidanpääc. Dynamic modelling of a one–stage spur gear system and vibration–based tooth crack detection analysis10.1016/j.ymssp.2014.09.001 ↗
24. Modulation sidebands analysis of coupled bevel gear pair and planetary gear train system10.1016/j.mechmachtheory.2022.104979 ↗
25. He, Z., Xing, Z., Zhou, Q., and Chang, L.H. (2023). Dynamic Analysis of a Combined Spiral Bevel Gear and Planetary Gear Set in a Bucket Elevator with High Power Density. Sustainability, 15.10.3390/su15054304 ↗
26. The Absolute Deviation Rank Diagnostic Approach to Gear Tooth Composite Fault
27. Dynamic Characteristic Analysis of the Shield Machine Three-Stage Planetary Reducer Considering Tooth Wear10.1007/s42417-023-01188-w ↗
28. Vullo, V. (2020). Spiral Bevel Gears and Hypoid Gears. Gears, Springer.10.1007/978-3-030-36502-8_12 ↗