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Latin American Journal of Solids and Structures

versão impressa ISSN 1679-7817versão On-line ISSN 1679-7825


FRANCA JUNIOR, Davidson de Oliveira; RIBEIRO, Paulo Marcelo Vieira  e  PEDROSO, Lineu José. Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids. Lat. Am. j. solids struct. [online]. 2019, vol.16, n.6, e208.  Epub 22-Jul-2019. ISSN 1679-7825.

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.

Palavras-chave : Cylindrical shells; free vibration; fluid-structure interaction; analytical method.

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