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Shock and Vibration
Volume 11, Issue 3-4, Pages 505-519
http://dx.doi.org/10.1155/2004/143536

Natural Frequencies of a Cracked Beam Coupled with a Compressible Sloshing Fluid

Michele Di Sciuva1 and Cecilia Surace2

1Department of Aeronautical and Space Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy
2Department of Structural and Geotechnical Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

Received 24 August 2004; Revised 24 August 2004

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This article describes studies into the flexural vibration of a cracked cantilevered beam in contact with a non-viscous fluid. The crack has been represented by a mass-less rotational spring, the flexibility of which has been calculated using linear fracture mechanics. The coupled system is subject to undisturbed boundary condition at infinity in the fluid domain. A range of different boundary conditions have been analysed such as both incompressible and compressible fluid, with and without sloshing. Various crack sizes and positions have been considered in order to assess the effect of damage in the fluid-structure interaction problem.