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Coupled vibrations of a partially fluid-filled cylindrical container with an internal body including the effect of free surface waves |
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| Authors: | E Askari M Amabili |
| Institution: | a Young Researchers Club, Khomainishar Branch, Islamic Azad University, Isfahan, Iran b Mechanical Engineering Department, School of Engineering, Shiraz University, Shiraz 71348-51154, Iran c Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street W., Montreal, QC, Canada H3A 2K6 |
| Abstract: | Internal bodies (baffles) are used as damping devices to suppress the fluid sloshing motion in fluid-structure interaction systems. An analytical method is developed in the present article to investigate the effects of a rigid internal body on bulging and sloshing frequencies and modes of a cylindrical container partially filled with a fluid. The internal body is a thin-walled and open-ended cylindrical shell that is coaxially and partially submerged inside the container. The interaction between the fluid and the structure is taken into account to calculate the sloshing and bulging frequencies and modes of the coupled system using the Rayleigh quotient, Ritz expansion and Galerkin method. It is shown that the present formulation is an appropriate and new approach to tackle the problem with good accuracy. The effects of fluid level, number of nodal diameters, internal body radius and submergence ratio on the dynamic characteristics of the coupled system are also investigated. |
| Keywords: | Vibrations Fluid-structure interactions Sloshing Shell Rayleigh quotient Ritz expansion Galerkin method Internal body Free surface waves |
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