Abstract

Free vibrations of a thin circular-cylindrical shell in contact with an elastic medium are investigated, employing membrane theory. Response of the elastic medium is represented by Winkler/Pasternak models. Dynamic characteristics involving nondimensional frequency parameters and axial wave parameters are drawn. It is found that the value of the foundation modulus (K), considerably affects radial vibrational mode frequency, while the other two vibrational mode frequencies, i.e. torsional and longitudinal, remain almost unaffected. It is found also that the influence of the nondimensional shear modulus parameter (Ḡ), is more pronounced in radial vibrational mode frequencies, to a lesser extent on torsional mode frequencies and least on longitudinal mode frequencies.

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