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Method for estimating vibration responses of belt drive systems with a nonlinear tensioner

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Abstract

A friction-type tensioner is widely used in a belt drive system for maintaining belt tension constantly and reducing vibration. Owing to friction dampings, the curve of the reaction torque and the imposed angle of tensioner arm is a hysteretic loop. Here, the hysteretic behavior of tensioner is considered in dynamic analysis of a belt drive system. A hysteretic model for describing the applied torque versus the imposed angle of tensioner arm is established. And an iterative algorithm is proposed for estimating the nonlinear equivalent viscous damping of tensioner under a varying excitation frequency. A timing belt drive system is taken as an example. Based on the existing research, the dynamic models for a belt, an automatic tensioner and rotational pulleys of system are also given. The vibration responses of a belt system, such as the oscillation angle of tensioner arm, the transmission error between pulleys and the hub load applied on pulley, are calculated and compared with the measurements, which are validated the presented method. The influence of damping ratio of tensioner on dynamic responses of system is investigated, and the influence of iteration parameters on the iterative efficiency is discussed. The presented method is beneficial to modifying the existing method for calculating the vibration responses of a belt drive system.

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Acknowledgements

The paper is supported by the National Natural Science Foundation of China (No. 51875216) and Natural Science Foundation of Guangdong Province (Nos. 2019A1515011612 and 2019A1515011780).

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, 510641, People’s Republic of China

    Shangbin Long, Xuezhi Zhao & Wen-Bin Shangguan

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  1. Shangbin Long
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  2. Xuezhi Zhao
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Correspondence to Wen-Bin Shangguan.

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Appendix

Appendix

See Tables 3, 4 and 5.

Table 3 The parameters of tensioner
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Table 4 The coordinate, radius, moment of inertial and damping for each pulley
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Table 5 Parameters of timing belt
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Long, S., Zhao, X. & Shangguan, WB. Method for estimating vibration responses of belt drive systems with a nonlinear tensioner. Nonlinear Dyn 100, 2315–2335 (2020). https://doi.org/10.1007/s11071-020-05617-3

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