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Coupled Wavenumbers in an Infinite Flexible Fluid-Filled Circular Cylindrical Shell: Comparison between Different Shell Theories

Kunte, MV and Sonti, Venkata R (2011) Coupled Wavenumbers in an Infinite Flexible Fluid-Filled Circular Cylindrical Shell: Comparison between Different Shell Theories. In: Computer Modeling in Engineering and Sciences (CMES), 81 (2). pp. 119-156.

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Official URL: http://www.techscience.com/cmes/2011/v81n2_index.h...

Abstract

Analytical expressions are found for the wavenumbers in an infinite flexible in vacuo I fluid-filled circular cylindrical shell based on different shell-theories using asymptotic methods. Donnell-Mushtari theory (the simplest shell theory) and four higher order theories, namely Love-Timoshenko, Goldenveizer-Novozhilov, Flugge and Kennard-simplified are considered. Initially, in vacuo and fluid-coupled wavenumber expressions are presented using the Donnell-Mushtari theory. Subsequently, the wavenumbers using the higher order theories are presented as perturbations on the Donnell-Mushtari wavenumbers. Similarly, expressions for the resonance frequencies in a finite shell are also presented, using each shell theory. The basic differences between the theories being what they are, the analytical expressions obtained from the five theories allow one to see how these differences propagate into the asymptotic expansions. Also, they help to quantify the difference between the theories for a wide range of parameter values such as the frequency range, circumferential order, thickness ratio of the shell, etc.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Tech Science Press.
Keywords: shell;shell theories;wave propagation;fluid filled;fluid loading;cylindrical shell;wavenumbers;asymptotics; perturbation methods
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Others
Date Deposited: 02 Apr 2012 11:45
Last Modified: 02 Apr 2012 11:45
URI: http://eprints.iisc.ernet.in/id/eprint/44187

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