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Research on Nonlinear Dynamic Characteristics of Spiral Bevel Gear with Time-Varying Thermal Deformation and Time-Varying Friction

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Abstract

Purpose

We studied the nonlinear characteristics of spiral bevel gear pair considering both time-varying thermal deformation and time-varying friction.

Methods

The thermal deformation of spiral bevel gear pair under dry running is calculated first using the thermal elastic mechanics principle, and the final time-varying backlash is obtained. Second, the instantaneous friction coefficient between the meshing tooth surfaces of spiral bevel gear under dry running condition is determined by means of friction characteristic experiment, and the time-varying friction force and friction torque at the meshing point are calculated. Finally, on the basis of lumped parameter method, the 8-DOF nonlinear dynamic model of the spiral bevel gear with bending-torsion-axis coupling considering time-varying thermal deformation and time-varying friction is established, and the nonlinear dynamic response is solved and analyzed.

Results

The time domain response diagram, Phase plane portal, Poincare maps and amplitude-frequency spectrum under four states including initial state (no friction and thermal deformation), considering time-varying thermal deformation, considering time-varying friction and the comprehensive influence of thermal deformation and friction are given, and compared with the simulation results. It indicates that the numerical method is correct and effective.

Conclusion

The time-varying thermal deformation of spiral bevel gear pair will weaken the nonlinearity of gear pair transmission system. The time-varying friction between the meshing tooth surfaces will enhance the nonlinearity of the gear pair transmission system and reduce the stability of the system.

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Acknowledgements

First and foremost, I would like to show my deepest gratitude to my supervisor,Professor Wang Sanmin, who has walked me through all the stages of the writing of this thesis. Without his illuminating instruction and patience, this thesis could not have reached its present form. My sincere appreciation also goes to all my friends for their encouragement and support. This study was supported by the Special Fund for Civil Machinery of China (Grant No. MJ-2016-D-28).

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Authors and Affiliations

  1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, People’s Republic of China

    Li Fei, Wang Sanmin, Zou Haoran, Ren Hongfei, Chen Peng, Li Zhibin & Li Linlin

Authors
  1. Li Fei
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  2. Wang Sanmin
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  3. Zou Haoran
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  4. Ren Hongfei
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  5. Chen Peng
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  6. Li Zhibin
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  7. Li Linlin
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Correspondence to Li Fei.

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No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part.

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Fei, L., Sanmin, W., Haoran, Z. et al. Research on Nonlinear Dynamic Characteristics of Spiral Bevel Gear with Time-Varying Thermal Deformation and Time-Varying Friction. J. Vib. Eng. Technol. 11, 1903–1919 (2023). https://doi.org/10.1007/s42417-022-00678-7

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  • DOI: https://doi.org/10.1007/s42417-022-00678-7

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