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Title of article :
Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid
Author/Authors :
Banichuk، نويسنده , , N. and Jeronen، نويسنده , , J. and Neittaanmنki، نويسنده , , P. and Tuovinen، نويسنده , , T.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
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Abstract :
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.
Keywords :
Buckling , ideal fluid , Axial flow , Paper web , Instability analysis , Axially moving materials , FSI
Journal title :
Journal of Fluids and Structures
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Link To Document :