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TECHNICAL PAPERS

Spatial Discretization of Axially Moving Media Vibration Problems

[+] Author and Article Information
Rajesh K. Jha, Robert G. Parker

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210-1107

J. Vib. Acoust 122(3), 290-294 (Mar 01, 2000) (5 pages) doi:10.1115/1.1303847 History: Received May 01, 1999; Revised March 01, 2000
Copyright © 2000 by ASME
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References

Figures

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Measure of independence of sets of complex conjugate moving string eigenfunction pairs for varying speeds ν
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Configuration space discretization of a stationary string using moving string eigenfunctions. (○) denote discretization results and solid lines denote the exact eigenvalues of the stationary string.
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Discretization of an axially moving string on elastic foundation with κ=50. Figures (a) and (b) show results for ν=0.5 and ν=0.75, respectively. (⋄) -N terms of stationary string eigenfunctions, (○) -configuration space form using N complex conjugate moving string eigenfunction pairs, and (▵) - state space form with 2N complex conjugate moving string eigenfunction pairs. Horizontal solid lines denote the lowest three exact eigenvalues.
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Configuration space discretization of an axially moving string on elastic foundation (κ=20) showing incorrect flutter predictions. (○) denote eight cc pairs of moving string eigenfunctions and solid lines denote exact eigenvalues.
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Discretization of a simply supported, axially moving, tensioned beam (γ=0.1). (⋄) - six terms of stationary beam eigenfunctions, (○) - six cc pairs of moving string eigenfunctions, and ( * ) - six cc pairs of modified moving string eigenfunctions with α=2. Solid lines denote exact eigenvalues.

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