Um Estudo De Vibrações Livres Desacopladas E Acopladas Fluido-Estrutura Em Cascas Cilíndricas Para Diferentes Condições De Contorno

Júnior, Davidson de Oliveira França; Pedroso, Lineu José; Mendes, Neander Berto; Gonzales, Víctor Iván Fernández Dávila

doi:10.20906/cps/cilamce2017-0394

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“…On the other hand, among the different analytical methods applied to the free vibration analysis of cylindrical shells coupled with fluids, it is worth mentioning the works of Lakis and Paidoussis (1971), Gonçalves and Batista (1987), Fernholz and Robinson (1990), Sarkar and Sonti (2009), Gonçalves et al (2010), Mendes et al (2014), Lopez (2014), França Júnior et al (2017 and Ji et al (2019). In these studies, the Fluid-Structure Interaction (FSI) is conceived by adding the fluid hydrodynamic pressures in the shell movement equations, together with the impenetrability condition at the shellliquid interface.…”

Section: Introductionmentioning

confidence: 99%

Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids

Júnior

Ribeiro

Pedroso

2019

Lat. Am. j. solids struct.

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The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are extremely complex since they involve many terms and algebraic operations that require numerical solvers. In this work, a simplified closed-form solution for the free vibration analysis of an empty or filled with an inviscid and incompressible fluid cylindrical tank is presented. The proposed analytical method is developed for a simply supported cylindrical shell, based on an energy formulation obtained with variational calculus, and provides explicit expressions for natural frequencies, which can be easily programmed in a spreadsheet. The fluid is represented by an acoustic cavity, modeled by the wave equation, and the fluid-structure interaction is reduced to an added mass of fluid in the uncoupled shell equations of motion. A finite element model was built using ANSYS software to validate the proposed procedure. The natural frequencies and mode shapes were studied, and the results obtained are consistent with analytical, numerical and experimental results.

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