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TECHNICAL PAPERS

Coupled Belt-Pulley Vibration in Serpentine Drives With Belt Bending Stiffness

[+] Author and Article Information
Lingyuan Kong, Robert G. Parker

  Department of Mechanical Engineering, The Ohio State University, 206 W. 18th Avenue, Columbus, OH 43210e-mail: parker.242@osu.edu

J. Appl. Mech 71(1), 109-119 (Mar 17, 2004) (11 pages) doi:10.1115/1.1641064 History: Received January 24, 2003; Revised July 03, 2003; Online March 17, 2004
Copyright © 2004 by ASME
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References

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Hwang,  S. J., Perkins,  N. C., Ulsoy,  A. G., and Meckstroth,  R. J., 1994, “Rotational Response and Slip Prediction of Serpentine Belt Drives Systems,” ASME J. Vibr. Acoust., 116, pp. 71–78.
Leamy,  M. J., and Perkins,  N. C., 1998, “Nonlinear Periodic Response of Engine Accessory Drives With Dry Friction Tensioners,” ASME J. Vibr. Acoust., 120, pp. 909–916.
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Ulsoy,  A. G., Whitesell,  J. E., and Hooven,  M. D., 1985, “Design of Belt-Tensioner Systems for Dynamic Stability,” ASME J. Vibr. Acoust., 107, pp. 282–290.
Beikmann,  R. S., Perkins,  N. C., and Ulsoy,  A. G., 1996, “Design and Analysis of Automotive Serpentine Belt Drive Systems for Steady State Performance,” ASME J. Mech. Des., 119, pp. 162–168.
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Parker,  R. G., 2002, “Efficient Eigensolution, Dynamic Response, and Eigensensitivity of Serpentine Belt Drives,” J. Sound Vib., in press.
Kong,  L., and Parker,  R. G., 2003, “Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives,” ASME J. Appl. Mech., in press.
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Figures

Grahic Jump Location
A prototypical three-pulley serpentine belt drive
Grahic Jump Location
Rotationally dominant mode (ε=0) for increasing belt bending stiffness. The dimensionless natural frequency for ε=0 is ω=4.1205. (a) ε=0.01, (b) ε=0.04, (c) ε=0.07, (d) ε=0.1. s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Span 2 transversely dominant mode (ε=0) for increasing belt bending stiffness. The dimensionless natural frequency for ε=0 is ω=3.0951. (a) ε=0.01, (b) ε=0.04, (c) ε=0.07, (d) ε=0.1. s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Span 3 transversely dominant mode (ε=0) for increasing belt bending stiffness. The dimensionless natural frequency for ε=0 is ω=1.9968. (a) ε=0.01, (b) ε=0.04, (c) ε=0.07, (d) ε=0.1. s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Natural frequency spectrum for varying belt bending stiffness. s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Natural frequency spectrum for varying belt bending stiffness. [[dashed_line]], fix steady state; –, fix bending stiffness value in (39404142434445). s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Natural frequency spectrum for varying belt speed. –, ε=0.1; [[dashed_line]], ε=0.01. ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
Grahic Jump Location
Natural frequency spectrum for varying belt speed. –, η=0 (β1=68.53°,β2=111.47°); [[dashed_line]], η=0.78 (β1=135.79°,β2=178.74°). ε=0.04, ks=4, γ=400, P1=P2=P3=1.
Grahic Jump Location
Natural frequency spectrum for varying tensioner effectiveness η. –, ε=0.1; [[dashed_line]], ε=0.01. s=0,ks=4, γ=400, P1=P2=P3=1.
Grahic Jump Location
Fifth vibration mode for varying tensioner effectiveness η. (a) η=0 (β1=68.53°,β2=111.47°), (b) η=0.5 (β1=95.53°,β2=138.47°), (c) η=0.78 (β1=135.79°,β2=178.74°). ε=0.1, s=0,ks=4, γ=400, P1=P2=P3=1.

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