Dynamic Behavior Analysis of Functionally Graded Nanoplates Based on Elastic Foundations
Keywords:
Pasternak elastic foundations, Hyperbolic shear strain, Nano-platesAbstract
An analytical study to predict the behavior of FGM Nano-plates supported by Pasternak elastic foundations based on a theory of
hyperbolic shear strain. Nonlocal elasticity theory is used to introduce the effect of small scale. The influence of the parameters of the
geometry, the foundation stiffness, and the material property are presented. Hence it is unnecessary to use shear correction factors. The governing equations are derived from the principle of virtual work. The free vibration solutions are finally presented for the nonlocal
higher order plate models. The numerical results obtained in the present study for several examples are presented and compared to other models available in the literature.
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