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Spatial synchronization behavior of vibration system with tri-motor excitation

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Abstract

The existing research of vibration synchronization among multiple rotors is mainly concentrated on plane vibration system. In this paper, the synchronization mechanism of the spatial vibration system actuated with tri-motor rotating in identical direction is studied. Firstly, the dynamic model is established, and the motion differential equations are deduced via Lagrange formulation. Then, small parameter average method is applied to explore the synchronization condition; Lyapunov equation and Routh-Hurwitz criterion are introduced to analyze the synchronization stability. Finally, the influence of the system parameter on synchronization is discussed by numerical calculation, and the electromechanical coupling simulation based on Matlab/Simulink is given to confirm the reliability of the theoretical analysis. The research result indicates that the vibration synchronization is affected by the horizontal distance between two coaxial motors, the installation height and the masses of three eccentric rotors (ERs), but the influence of the horizontal distance between coaxial motor and noncoaxial motor on synchronization is small.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 51705437), the Sichuan Science and Technology Support Project (No. 2020YFG0181), the Chinese Postdoctoral Fund (No. 2019M653482), the Chengdu International Science and Technology Cooperation Projects (No. 2020-GH02-00071-HZ).

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Authors and Affiliations

  1. School of Mechanical Engineering, Southwest Petroleum University, Chengdu, 610500, China

    Pan Fang, Shuangquan Shi, Min Zou, Duyu Hou & Zhiliang Zhang

  2. Key Laboratory of Oil and Gas Equipment Ministry of Education, Southwest Petroleum University, Chengdu, 610500, China

    Pan Fang

  3. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, China

    Pan Fang

  4. Sichuan Gem Machinery Drilling and Mining Equipment Company with Limited Liability, Guanghan, 618300, China

    Tao Chen

Authors
  1. Pan Fang
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  2. Shuangquan Shi
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  3. Tao Chen
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  4. Min Zou
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  5. Duyu Hou
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  6. Zhiliang Zhang
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Corresponding author

Correspondence to Pan Fang.

Additional information

Pan Fang completed his Ph.D. in Mechanical Engineering from Southwest Petroleum University, China, in 2016. Presently he is a Master Tutor at Southwest Petroleum University, China. His research interests include dynamics of multi-body systems and vibration control.

Shuangquan Shi received the B.E. from Panzhihua University, China, in 2019. He is currently pursuing the M.E. at Southwest Petroleum Universty, China. His research interests include dynamics of mechanical systems and nonlinear systems, and dynamics of synchronization systems.

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Fang, P., Shi, S., Chen, T. et al. Spatial synchronization behavior of vibration system with tri-motor excitation. J Mech Sci Technol 35, 3871–3885 (2021). https://doi.org/10.1007/s12206-021-0801-z

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  • DOI: https://doi.org/10.1007/s12206-021-0801-z

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