Free Vibration Analysis of Viscoelastic Orthotropic Nanoplates Resting on Elastic Foundation

In this article, the free vibration behavior of viscoelasticorthotropic rectangular nanoplates resting on elasticfoundation is studied. Using nonlocal elasticity andclassical plate theories, the governing equations arederived for graphene oxide nanoplate. Analyticalfrequency equations for nanoplate with simply supportedboundary condition are obtained by using Navier method.The obtained results are validated with the availableresults in the literatures. Comparison of results showsexcellent agreement is achieved. The effects of nonlocalparameter, stiffness of the elastic foundation andviscoelastic material property of nanoplate on the naturalfrequencies of the nanoplate are also considered.

کلیدواژه ها:

free vibration ، viscoelastic orthotropicnanoplate ، nonlocal elasticity theory ، elastic foundation