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.
Highlights
This article presents the results of research being conducted regarding the interaction of a cracked beam with a surrounding non-viscous, irrotational fluid medium, a topic of direct significance and potential importance for a wide range of practical applications, for example in offshore and irrigation engineering fields
The research presented in this article essentially incorporates recent developments from diverse areas of research, as concerning fluid-structure interaction and the dynamics of damaged structural components; correspondingly the innovation relating principally to the introduction of a cracked beam into the analysis in order to highlight the potential effect on the coupled frequencies of the structural system
The present work analyses the flexural behaviour of a cracked dam modelled with a prismatic beam in contact with a compressible fluid with free surface, the crack being represented by a massless rotational spring
Summary
This article presents the results of research being conducted regarding the interaction of a cracked beam with a surrounding non-viscous, irrotational fluid medium, a topic of direct significance and potential importance for a wide range of practical applications, for example in offshore and irrigation engineering fields. The number of works related to rectangular plates is very limited Bauer [7] studied the vibrations of a supported elastic bottom of a prismatic container, while performed research regarding the vibrations of rectangular clamped plates immersed in a fluid Kwak [24] determined the NAMVI factors for rectangular plates in contact with a fluid of infinite domain, analysed the behaviour of an isotropic rectangular plate in contact with a liquid domain, and in [14,30] the case of a rectangular plate clamped in the rigid bottom of a prismatic container has been considered These works have not taken into account the presence of a fluid with free-surface overhanging an elastic plate and, concerning this issue, the number of articles published is limited [25] described the behaviour of liquid films on a stationary structure rapoport [34] formulated the equations for elastic bodies containing fluids, but did not provide detailed solutions for specific cases. Different crack sizes and positions have been considered in order to assess the effect of damage in the fluid-structure interaction problem
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