Nonlinear vibration and dynamic response of shear deformable imperfect functionally graded double-curved shallow shells resting on elastic foundations in thermal environments

In this article, nonlinear vibration and dynamic response of imperfect functionally graded materials (FGM) thick double-curved shallow shells resting on elastic foundations are investigated using Reddy's third-order shear deformation shell theory in thermal environments. Material properties are...

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Bibliographic Details
Published in:Journal of thermal stresses 2016-04, Vol.39 (4), p.437-459
Main Authors: Quan, Tran Quoc, Dinh Duc, Nguyen
Format: Article
Language:English
Subjects:
Deformation
Dynamic response
Elastic deformation
Elastic foundations
FGM thick double-curved shallow shells
Foundations
Functionally gradient materials
Materials science
Mathematical models
non-linear vibration and dynamic response
Nonlinearity
Shallow shells
Shear stress
thermal and damping loads
third-order shear deformation theory
Vibration
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Summary:In this article, nonlinear vibration and dynamic response of imperfect functionally graded materials (FGM) thick double-curved shallow shells resting on elastic foundations are investigated using Reddy's third-order shear deformation shell theory in thermal environments. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The FGM shells are subjected to mechanical, damping, and thermal loads. The Galerkin method and fourth-order \hboxRunge-Kutta method are used to calculate natural frequencies, nonlinear frequency-amplitude relation, and dynamic response of the shells. In numerical results, the effects of geometrical parameters, material properties, imperfections, shear deformation, the elastic foundations, mechanical, thermal and damping loads on the nonlinear dynamic response, and nonlinear vibration of FGM double-curved shallow shells are investigated. Accuracy of the present formulation is shown by comparing the results of numerical examples with the ones available in literature.
ISSN:0149-5739
1521-074X
DOI:10.1080/01495739.2016.1158601