RITZ SOLUTION OF BUCKLING AND VIBRATION PROBLEM OF NANOPLATES EMBEDDED IN AN ELASTIC MEDIUM

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:35 Issue:2
RITZ SOLUTION OF BUCKLING AND VIBRATION PROBLEM OF NANOPLATES EMBEDDED IN AN ELASTIC MEDIUM

RITZ SOLUTION OF BUCKLING AND VIBRATION PROBLEM OF NANOPLATES EMBEDDED IN AN ELASTIC MEDIUM

Authors : Mohsen BASTAMİ, Bashir BEHJAT

Pages : 285-302

View : 49 | Download : 7

Publication Date : 2017-06-01

Article Type : Research Paper

Abstract :In this paper, free vibration and buckling of single-layered isotropic rectangular nanoplate is investigated based on classic plate theory insert ignore into journalissuearticles values(CPT);. Nonlocal elasticity theory accounts for the small-nonlocal effects. Both Winkler-type and Pasternak-type foundation models are employed to simulate the surrounding elastic matrix. Governing differential weak form equations of the plate based on nonlocal elasticity theory are derived. The Ritz method is used to solve the problem of buckling and free vibration nanoplate for various boundary conditions. In order to confirm the accuracy of the results, data are compared with the other results published in literature. The effects of different parameters on the plate behavior, such as nonlocal parameter, aspect ratio, boundary conditions, Winkler and shear modulus are investigated.
Keywords : Buckling and vibration analysis, ritz method, nonlocal effects, elastic medium

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