Journal
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
Volume 21, Issue 4, Pages 1316-1356Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1099636217715609
Keywords
Sandwich doubly curved shallow shells; functionally graded material stiffeners; nonlinear vibration; general sigmoid law; general power law
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [107.02-2015.11]
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This study presents a nonlinear vibration analysis of function graded sandwich doubly curved shallow shells, which reinforced by functionally graded material stiffeners and rested on the Pasternak foundation. The shells are subjected to the combination of mechanical, thermal, and damping loading. Four models of the sandwich shells with general sigmoid and power laws distribution are considered. The governing equations are established based on the third-order shear deformation theory. Von Karman-type nonlinearity and smeared stiffener technique are taken into account. The explicit expressions for determining natural frequencies, nonlinear frequency-amplitude relation, and time-deflection curves are obtained by employing the Galerkin method. Finally, the fourth-order Runge-Kutta method is applied to investigate the influences of functionally graded material stiffeners, the boundary conditions, the models of the shells, thermal environment, foundation and geometrical parameters on the natural frequencies and dynamic nonlinear responses of the sandwich shells.
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