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The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects

Dinh Duc Nguyen and Dinh Quang Vu and Thi Thuy Anh Vu (2017) The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects. International Journal of Mechanical Sciences, 123 . pp. 54-63. ISSN 0020-7403

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Abstract

This study investigated the nonlinear dynamic and vibration of the S-FGM shallow spherical shells with ceramic-metal-ceramic layers (in two cases: non-axisymmetric and axisymmetric shells) on an elastic foundations (EF) with different types of boundary conditions in thermal environment. Material compositions of the shell are graded in the thickness direction according to a sigmoid law distribution in terms of the volume fractions of the constituents. The governing equations are derived by using the classical shell theory and Pasternak's two parameters EF. The motion equations of dynamic analysis are determined due to Galerkin method and the obtained equation is numerically solved by using Runge–Kutta method. The approximate solutions are assumed to satisfy the different types of boundary conditions. The criterion suggested by Budiansky–Roth is applied to determine the dynamic critical buckling load and the nonlinear dynamic response is found by numerical form. In numerical results, the effects of geometrical parameters, material properties, the EF, boundary conditions, mechanical loads and temperature on the nonlinear dynamic and vibration stability of the shells are investigated.

Item Type:Article
Subjects:Engineering Mechanics
ISI-indexed journals
Divisions:Faculty of Engineering Mechanics and Automation (FEMA)
ID Code:2409
Deposited By: MSc. Thi Thuy Anh Vu
Deposited On:06 Feb 2017 15:50
Last Modified:06 Feb 2017 15:50

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