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Transverse vibration of flexible hoisting rope with time-varying length

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Abstract

The nonlinear vibration of a flexible hoisting rope with time-varying length is investigated. The governing equations of the flexible hoisting rope are developed based on Hamilton’s principle. Experiments performed evaluated the theoretical model and found that the experimental data agree well with the theoretical prediction, which validates the mathematical model of the flexible hoisting system. The results of the simulations and experiments show that the flexible hoisting system dissipates energy during downward movement (thus is stabilized) and gains energy during upward movement (thus is unstabilized). In addition, a passage through resonance in the hoisting system with periodic external excitation is analyzed. Due to the time-varying length of the hoisting rope the natural frequencies of the system vary slowly, and transient resonance may occur when one of the frequencies coincides with the frequency of an external excitation.

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Authors and Affiliations

  1. School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, 200240, China

    Ji-hu Bao, Peng Zhang & Chang-Ming Zhu

  2. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, China

    Wei Sun

Authors
  1. Ji-hu Bao
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  2. Peng Zhang
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  3. Chang-Ming Zhu
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  4. Wei Sun
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Corresponding author

Correspondence to Peng Zhang.

Additional information

Recommended by Editor Yeon June Kang

Ji-Hu Bao received his M.S. degree in the Institute of Automotive Engineering from Shanghai Jiaotong University, China. He is currently a Ph.D. candidate in Mechanical Engineering at Shanghai Jiaotong University. His main research interests include dynamic modeling, vibration analysis and control of elevator system, and strength analysis of machinery.

Peng Zhang received his Ph.D. in Mechanical Engineering, Shanghai Jiaotong University, China. He is currently an assistant professor in Mechanical Engineering, Shanghai Jiaotong University. His main research interests include system dynamics analysis, computer modeling and simulation of complex systems, and energy saving technology of the elevator.

Chang-Ming Zhu is a Professor in the School of Mechanical Engineering, Shanghai Jiaotong University, China. His main research interests include the logistics equipment system dynamics, measurement, control and intelligence of electromechanical systems.

Wei Sun is an Assistant Professor in the School of Mechatronic Engineering and Automation, Shanghai University, China. His main research interests are in the areas of control, fatigue life-span and classification strategy.

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Bao, Jh., Zhang, P., Zhu, CM. et al. Transverse vibration of flexible hoisting rope with time-varying length. J Mech Sci Technol 28, 457–466 (2014). https://doi.org/10.1007/s12206-013-1110-y

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  • DOI: https://doi.org/10.1007/s12206-013-1110-y

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