NONLOCAL SECOND-ORDER SHEAR DEFORMATION PLATE THEORY FOR FREE VIBRATION OF NANOPLATES

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Publication Details

Author list: Panyatong, Monchai;Chinnaboon, Boonme;Chucheepsakul, Somchai

Publication year: 2015

Journal: Suranaree Journal of Science and Technology (0858-849X)

Volume number: 22

Issue number: 4

Start page: 339

End page: 348

ISSN: 0858-849X

URL: http://ird.sut.ac.th/e-journal/Journal/pdf/1501867.pdf

Abstract

In this paper, the second-order shear deformation plate theory is developed for the study of the natural frequencies of rectangular nanoplates based on the nonlocal elasticity theory of Eringen. The governing equation of nanoplates is derived by using Hamilton’s principle. The analytical solution for the natural frequencies and corresponding mode shapes of simply supported nanoplates is established. The effects of nonlocal parameters, the plate aspect ratios, and the plate thicknesses on the free vibration response are investigated. The obtained results show good agreement with other available solutions. The formulation and these analytical results of the proposed method could serve as a benchmark in the evaluation of future research.

Keywords

second-order shear deformation