@Article{cmc.2020.08032,
AUTHOR = {Behrouz Karami, Maziar Janghorban, Timon Rabczuk},
TITLE = {Forced Vibration Analysis of Functionally Graded Anisotropic Nanoplates Resting on Winkler/Pasternak-Foundation},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {62},
YEAR = {2020},
NUMBER = {2},
PAGES = {607--629},
URL = {http://www.techscience.com/cmc/v62n2/38267},
ISSN = {1546-2226},
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.},
DOI = {10.32604/cmc.2020.08032}
}