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Applied Mathematics and Mechanics

, Volume 29, Issue 1, pp 9–13 | Cite as

Modal analysis of coupled vibration of belt drive systems

  • Li Xiao-jun  (李晓军)
  • Chen Li-qun  (陈立群)Email author
Article

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.

Key words

belt drive system modal analysis axially moving string coupled vibration frequency 

Chinese Library Classification

O322 

2000 Mathematics Subject Classification

37C75 

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References

  1. [1]
    Chen L Q, Zu J W. Advance in analysis of vibrations of serpentine belt drive systems[J]. Mechanics in Engineering, 2001, 23(4):8–12 (in Chinese).Google Scholar
  2. [2]
    Chen L Q. Analysis and control of transverse vibrations of axially moving strings[J]. ASME Applied Mechanics Reviews, 2005, 58(2):91–116.CrossRefGoogle Scholar
  3. [3]
    Ulsoy A G, Whitesell J E, Hooven M D. Design of belt-tensioner systems for dynamic stability[J]. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1985, 107(2):282–290.Google Scholar
  4. [4]
    Beikmann R S, Perkins N C, Ulsoy A G. Free vibration of serpentine belt drive systems[J]. ASME Journal of Vibration and Acoustics, 1996, 118(3):406–413.Google Scholar
  5. [5]
    Beikmann R S, Perkins N C, Ulsoy A G. Nonlinear coupled response of serpentine belt drive systems[J]. ASME Journal of Vibration and Acoustics, 1996, 118(4):567–574.Google Scholar
  6. [6]
    Zhang L, Zu J W. Modal analysis of serpentine belt drive systems[J]. Journal of Sound and Vibration, 1999, 222(2):259–279.CrossRefGoogle Scholar
  7. [7]
    Zhang L, Zu J W. One-to-one auto-parametric resonance in serpentine belt drive systems[J]. Journal of Sound and Vibration, 2000, 232(4):783–806.CrossRefMathSciNetGoogle Scholar
  8. [8]
    Zhang L Zu J W, Hou Z. Complex modal analysis of non-self-adjoint hybrid serpentine belt drive systems[J]. ASME Journal of Vibration and Acoustics, 2001, 123(2):150–156.CrossRefGoogle Scholar
  9. [9]
    Parker R G. Efficient eigensolution, dynamic response, and eigensensitivity of serpentine belt drives[J]. Journal of Sound and Vibration, 2004, 270(1):15–38.CrossRefGoogle Scholar
  10. [10]
    Leamy M J, Wasfy T M. Transient and steady-state dynamic finite element modeling of beltdrives[J]. ASME Journal of Dynamic Systems, Measurement, and Control, 2002, 124(6):575–581.CrossRefGoogle Scholar
  11. [11]
    Leamy M J. On a perturbation method for the analysis of unsteady belt-drive operation[J]. ASME Journal of Applied Mechanics, 2005, 72(4):570–580.zbMATHCrossRefGoogle Scholar
  12. [12]
    Tonoli A, Amati N, Zenerino E. Dynamic modeling of belt drive systems: effects of the shear deformations[J]. ASME Journal of Vibration and Acoustics, 2006, 128(4):555–567.CrossRefGoogle Scholar

Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

Authors and Affiliations

  • Li Xiao-jun  (李晓军)
    • 1
  • Chen Li-qun  (陈立群)
    • 1
    • 2
    Email author
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghaiP. R. China
  2. 2.Department of MechanicsShanghai UniversityShanghaiP. R. China

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