WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 14, 2019
Dynamical Behavior of Thin Cylindrical Shell: An Asymptotic Approach
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Abstract: Enlightened by the asymptotic behavior of the thin wall structured body, the present study deals with the novel Legendre polynomials to investigate the dynamic behavior of an isotropic thin cylindrical shell by using asymptotic approach under cylindrical symmetry. It is found that the motion in n-th mode of the cylinder does not depend on higher or lower modes and variants of each mode satisfies same set of equations. Here we set some special assumption to make the problem simple and make an attempt to give an analytic expression of radial vibration when a semi-infinite cylinder of large radius is subjected to large longitudinal stimuli. Excellent analytical expressions are demonstrated by using the Duhamel’s principle for non-homogeneous differential equations and due to the presence of Legendre Polynomials, and cylindrical symmetry also.
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Keywords: Radial and longitudinal vibration, asymptotic approach, cylindrical shell, cylindrical symmetry, linear classical theory
Pages: 8-16
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 14, 2019, Art. #2