Analysis of Forced Vibration of Viscoelastic Nanocomposite Plate Reinforced via Carbon Nanotubes

Document Type : Original Article


Nanomaterials Group, Department of Materials Engineering, Tarbiat Modares University, P.O.14115-143 Tehran, Iran


Nanocomposite plates are one of the best options for reducing free and forced vibrations. The present study has investigated the forced vibrations of viscoelastic nanocomposite plates based on equations of free motion in a field with external force. This analysis was performed on primary resonance and in the state where only one single mode of vibration is stimulated. Besides, frequency equations were obtained without using Galerkin segregation method, and by these equations, the impact of thickness, Poisson coefficient, damping coefficient, fraction volume of carbon nanotubes, and nanotube arrangement on the forced state response were determined. The calculations highlight that an increase in damping factor results in a decrease in the maximum amplitude. It was also found that an increase in the ratio of plate's thickness to its length causes an increase in the deviation of plate's resonant frequency from its normal frequency. In addition, as the arrangement of carbon nanotubes alters, system's hardening behavior in FGX arrangement state is less solid compared to uniform distribution; yet, it enjoys more hardness in FGO arrangement state.  Moreover, change in the arrangement partially altered the resonant frequency. A change in the plate's ratio of width and length was also found to cause a change in the frequency response curve.