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ARTICLE
Forced Vibration Analysis of Functionally Graded Anisotropic Nanoplates Resting on Winkler/Pasternak-Foundation
Behrouz Karami1, Maziar Janghorban1, Timon Rabczuk2, *
1 Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran.
2 Institute of Research and Development, Duy Tan University, Da Nang, Viet Nam.
* Corresponding Author: Timon Rabczuk. Email: .
Computers, Materials & Continua 2020, 62(2), 607-629. https://doi.org/10.32604/cmc.2020.08032
Abstract
This study investigates the forced vibration of functionally graded hexagonal
nano-size plates for the first time. A quasi-three-dimensional (3D) plate theory including
stretching effect is used to model the anisotropic plate as a continuum one where smallscale effects are considered based on nonlocal strain gradient theory. Also, the plate is
assumed on a Pasternak foundation in which normal and transverse shear loads are taken
into account. The governing equations of motion are obtained via the Hamiltonian
principles which are solved using analytical based methods by means of Navier’s
approximation. The influences of the exponential factor, nonlocal parameter, strain gradient
parameter, Pasternak foundation coefficients, length-to-thickness, and length-to-width
ratios on the dynamic response of the nanoplates are examined. In addition, the accuracy of
an isotropic approximate instead of the anisotropic model is studied. The dynamic behavior
of the system shows that mechanical mathematics-based models may get better results
considering the anisotropic model because the dynamic response can cause prominent
differences (up to 17%) between isotropic approximation and anisotropic model.
Keywords
Cite This Article
B. Karami, M. Janghorban and T. Rabczuk, "Forced vibration analysis of functionally graded anisotropic nanoplates resting on winkler/pasternak-foundation,"
Computers, Materials & Continua, vol. 62, no.2, pp. 607–629, 2020.
Citations