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Dynamic Behaviour of an Axially Moving Plate Undergoing Small Cylindrical Deformation Submerged in Axially Flowing Ideal Fluid

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Banichuk, N., Jeronen, J., Neittaanmäki, P., & Tuovinen, T. (2011). Dynamic Behaviour of an Axially Moving Plate Undergoing Small Cylindrical Deformation Submerged in Axially Flowing Ideal Fluid. Journal of Fluids and Structures, 27 (7), 986-1005. doi:10.1016/j.jfluidstructs.2011.07.004
Published in
Journal of Fluids and Structures
Authors
Banichuk, Nikolay |
Jeronen, Juha |
Neittaanmäki, Pekka |
Tuovinen, Tero
Date
2011
Copyright
© Elsevier. This is an author's final draft version of an article whose final and definitive version has been published by Elsevier.

 
is studied, taking into account the mutual interaction between the vibrating plate and the surrounding, axially flowing ideal fluid. Transverse displacement of the plate (assumed cylindrical) is described by an integro-differential equation that includes a local inertia term, Coriolis and centrifugal forces, the aerodynamic reaction of the external medium, the vertical projection of membrane tension, the bending resistance, and external perturbation forces. In the two-dimensional model thus set up, the aerodynamic reaction is found analytically as a functional of the cylindrical displacement, using the techniques of complex analysis. The resulting integro-differential problem is discretized in space with the Fourier–Galerkin method, and integrated in time with the diagonalization method. Examples are computed with physical parameters corresponding to air and some paper materials. The effects of the surrounding fluid on the critical velocity and first natural frequency are investigated, for stationary air, for an air mass moving with the plate, and for some arbitrary axial fluid velocities. The obtained results are applicable for both an ideal membrane and a plate with nonzero bending rigidity. ...
Publisher
Elsevier
ISSN Search the Publication Forum
0889-9746
Keywords
Ideal fluid Axially moving plate Flat panel Dynamics FSI Paper web
DOI
10.1016/j.jfluidstructs.2011.07.004
URI

http://urn.fi/URN:NBN:fi:jyu-201209272517

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