Natural frequencies of a cracked beam coupled with a compressible sloshing fluid

Issue title: Dedicated to Professor Bruno Piombo

Article type: Research Article

Authors: Di Sciuva, Michele | Surace, Cecilia

Affiliations: Department of Aeronautical and Space Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy | Department of Structural and Geotechnical Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

Note: [] Corresponding author. E-mail: cecilia.surace@polito.it

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.

Journal: Shock and Vibration, vol. 11, no. 3-4, pp. 505-519, 2004