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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

Figures

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A prototypical three-pulley serpentine belt drive
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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°.
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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°.
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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°.
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Natural frequency spectrum for varying belt bending stiffness. s=0,ks=4, γ=400, P1=P2=P3=1,β1=135.79°,β2=178.74°.
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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°.
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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°.
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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.
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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.
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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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