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Mechanics of Advanced Materials and Structures Volume 26, 2019 - Issue 18
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Original Articles

Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions

Mohammad Reza BaratiAerospace Engineering Department & Center of Excellence in Computational Aerospace, Amirkabir University of Technology, Tehran, IranCorrespondence[email protected] [email protected]
ORCID Iconhttps://orcid.org/0000-0003-0573-7928
ORCID Icon &
Ashraf M. ZenkourDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, EgyptORCID Iconhttps://orcid.org/0000-0002-0883-8073
ORCID Icon
Pages 1580-1588 | Received 26 Jan 2018, Accepted 27 Jan 2018, Published online: 15 Mar 2018
 
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ABSTRACT

This paper studies free vibrational behavior of porous nanocomposite shells reinforced with graphene platelets (GPLs). GPLs are uniformly and nonuniformly distributed thorough the thickness direction. Different porosity distributions called uniform, symmetric, and asymmetric are considered. The elastic properties of the nanocomposite are obtained by employing Halpin–Tsai micromechanics model. The GPL-reinforced shell is modeled via first order shear deformation theory and Galerkin's method is implemented to obtain vibration frequencies. New results show the importance of porosity coefficient, porosity distribution, GPL distribution, GPL weight fraction, and geometrical and foundation parameters on vibration behavior of porous nanocomposite shells.

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