Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions

Behrouz Karami , Davood Shahsavari , Ali Ordookhani , Parastoo Gheisari , Li Li , Arameh Eyvazian

Abstract

The current study deals with the size-dependent free vibration analysis of graphene nanoplatelets (GNPs) reinforced polymer nanocomposite plates resting on Pasternak elastic foundation containing different boundary conditions. Based on a four variable refined shear deformation plate theory, which considers shear deformation effect, in conjunction with the Eringen nonlocal elasticity theory, which contains size-dependency inside nanostructures, the equations of motion are established through Hamilton\'s principle. Moreover, the effective material properties are estimated via the Halpin-Tsai model as well as the rule of mixture. Galerkin\'s mathematical formulation is utilized to solve the equations of motion for the vibrational problem with different boundary conditions. Parametrical examples demonstrate the influences of nonlocal parameter, total number of layers, weight fraction and geometry of GNPs, elastic foundation parameter, and boundary conditions on the frequency characteristic of the GNPs reinforced nanoplates in detail.

Key Words

free vibration; nanocomposites; reinforcement; Graphene nanoplatelet; boundary conditions

Address

Behrouz Karami and Davood Shahsavari — Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Ali Ordookhani — Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, P.O. Box 79417-76655, Kish Island, Iran
Ali Ordookhani — Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, P.O. Box 79417-76655, Kish Island, Iran
Parastoo Gheisari — School of Mechanical Engineering, Shiraz University, Shiraz, Iran
Li Li — State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Arameh Eyvazian — Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam; Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam

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