Structural Engineering and Mechanics

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Analysis of vibration characterization of a multi-stage planetary gear transmission system containing faults

  • Hao Dong (School of Mechatronic Engineering, Xi'an Technological University) ;
  • Yue Bi (School of Mechatronic Engineering, Xi'an Technological University) ;
  • Bing-Xing Ren (School of Mechatronic Engineering, Xi'an Technological University) ;
  • Zhen-Bin Liu (School of Mechatronic Engineering, Xi'an Technological University) ;
  • Yue, Li (School of Mechatronic Engineering, Xi'an Technological University)
  • Received : 2023.01.10
  • Accepted : 2023.11.03
  • Published : 2023.11.25
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Abstract

In order to explore the influence of tooth root cracks on the dynamic characteristics of multi-stage planetary gear transmission systems, a concentrated parameter method was used to construct a nonlinear dynamic model of the system with 30-DOF in bending and torsion, taking into account factors such as crack depth, length, angle, error, time-varying meshing stiffness (TVMS), and damping. In the model, the energy method was used to establish a TVMS model with cracks, and the influence of cracks on the TVMS of the system was studied. By using the Runge- Kutta method to calculate the differential equations of system dynamics, a series of system vibration diagrams containing cracks were obtained, and the influence of different crack parameters on the vibration of the system was analyzed. And vibration testing experiments were conducted on the system with planetary gear cracks. The results show that when the gear contains cracks, the TVMS of the system will decrease, and as the cracks intensify, the TVMS will decrease. When cracks appear on the II-stage planetary gear, the system will experience impact effects with intervals of rotation cycles of the II-stage planetary gear. There will be obvious sidebands near the meshing frequency doubling, and the vibration trajectory of the gear will also become disordered. These situations will become more and more obvious as the degree of cracks intensifies. Through experiments, the theoretical results are in good agreement with experimental results, verifying the correctness of the theoretical model. This provides a theoretical basis for fault diagnosis and reliability research of the system.

Keywords

Acknowledgement

The research described in this paper was financially supported by the National Natural Science Foundation of China (NSFC) (Program No. 52375062), Xi'an Science and Technology Plan Project (23GXFW0037), Scientific Research Program Funded by Shaanxi Provincial Education Department (23JC038).

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