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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (1): 9-13 .doi: https://doi.org/10.1007/s10483-008-0102-x

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Modal analysis of coupled vibration of belt drive systems

LI Xiao-jun, CHEN Li-qun   

    1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    2. Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China
  • Received:2006-12-13 Revised:2007-11-06 Online:2008-01-18 Published:2008-01-18
  • Contact: CHEN Li-qun
  • Supported by:

    The National Natural Science Foundation of China (Nos. 10672092 and 10725209), the Scientific Research Project of Shanghai Municipal Education Commission (No. 07ZZ07), and Shanghai Leading Academic Discipline Project (No. Y0103)

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Abstract: The modal method is applied to analyze coupled vibration of belt drive systems. A belt drive system is a hybrid system consisting of continuous belts modeled as strings as well as discrete pulleys and a tensioner arm. The characteristic equation of the system is derived from the governing equation. Numerical results demenstrate the effects of the transport speed and the initial tension on natural frequencies.

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