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TECHNICAL PAPERS

Nonlinear Vibration of Parametrically Excited, Viscoelastic, Axially Moving Strings

[+] Author and Article Information
Eric M. Mockensturm, Jianping Guo

Department of Mechanical and Nuclear Engineering, Pennsylvania State University, 157 Hammond Building, University Park, PA 16802

J. Appl. Mech 72(3), 374-380 (May 06, 2005) (7 pages) doi:10.1115/1.1827248 History: Received June 06, 2003; Revised November 03, 2004; Online May 06, 2005
Copyright © 2005 by ASME
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Figures

Grahic Jump Location
Stability boundaries of the first combination parametric resonance (n=1,l=2) obtained with (a) and without (b) steady state dissipation with ζ=10 and φ=400
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The amplitude of the nontrivial limit cycles in the first combination parametric resonance (n=1 and l=2) for c=0.5, ζ=10, and φ=400. Inset shows solution neglecting steady state dissipation.
Grahic Jump Location
Stability boundaries of the first principle parametric resonance (n=l=1) obtained with (a) and without (b) steady state dissipation with ζ=10 and φ=400
Grahic Jump Location
The amplitude of the nontrivial limit cycles in the first principle parametric resonance (n=l=1) for c=0.5, ζ=10, and φ=400. Inset shows solution neglecting steady state dissipation.
Grahic Jump Location
Stability boundaries of the second principle parametric resonance (n=l=2) obtained with (a) and without (b) steady state dissipation with ζ=10 and φ=400
Grahic Jump Location
The amplitude of the nontrivial limit cycles in the second principle parametric resonance (n=l=2) for c=0.25, ζ=10, and φ=400. Inset shows solution neglecting steady state dissipation.

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