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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Grahic Jump Location
Measure of independence of sets of complex conjugate moving string eigenfunction pairs for varying speeds ν
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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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