Nonlinear Vibrations of Nanocomposite Viscoelastic Plates Containing Carbon Nanotube

In this paper, the nonlinear vibrations of composite plate forced by carbon nanotube have been investigated. The equations of vibrational motion have been solved by multiple scales method. For free vibrations of nanocomposite plates, natural nonlinear frequencies have been calculated. Furthermore, the effects of damping factor, volume fraction of carbon nanotube, and the ratio of thickness to dimension of plates in natural frequency has been investigated. Our results highlight that nonlinear natural frequency of plate increases by increasing the ratio of thickness to the dimensions of plates. Moreover, a decrease in the proportion of thickness to the length of the plate resulted in a downfall in the falling trend of the domain.