Forced resonance vibration analysis in advanced polymeric nanocomposite plate surrounded by an elastic medium

Abstract

The resonance phenomenon is a key factor in studying different structures. This research work aim is at reporting a size-dependent model to analyze the forced resonance phenomenon in advanced polymeric composites that are reinforced with single-walled carbon nanotubes (SWCNTs). To reach this aim, third-order shear deformable model in Cartesian coordinate combined with a general nonlocal strain gradient theory is adopted. A virtual work of Hamilton statement is implemented over the aforementioned theories to gain the governing equations as well as boundary conditions. Then, an analytical Navier based technique is applied to solve the problem of getting the resonance position. The numerical examples are devoted to reporting a variety of active parameters such as geometrical conditions, small scale and elastic medium coefficients, as well as CNTs weight fraction and its distribution patterns.