Journal
JOURNAL OF FLUIDS AND STRUCTURES
Volume 26, Issue 2, Pages 274-291Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfluidstructs.2009.09.006
Keywords
Instability analysis; Buckling; Ideal fluid; Axially moving materials; Axial flow; FSI; Paper web
Categories
Funding
- MASI Tekes Technology Programme
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The out-of-plane instability of a moving plate, travelling between two rollers with constant velocity, is studied, taking into account the mutual interaction between the buckled plate and the surrounding, axially flowing ideal fluid. Transverse displacement of the buckled plate (assumed cylindrical) is described by an integro-differential equation that includes the centrifugal force, the aerodynamic reaction of the external medium, the vertical projection of membrane tension, and the bending force. The aerodynamic reaction is found analytically as a functional of the displacement. To find the critical divergence velocity of the moving plate and its corresponding buckling mode, an eigenvalue problem and variational principle are derived. Plate divergence, both within a vacuum and when submerged in an external medium, is investigated with the application of analytical and numerical techniques. (C) 2009 Elsevier Ltd. All rights reserved.
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