Large-amplitude dynamical behavior of multilayer graphene platelets reinforced nanocomposite annular plate under thermo-mechanical loadings

Abstract

For the first time, the nonlinear forced vibration analysis of graphene nanoplatelets reinforced composite (GPLRC) annular plate under hygro-thermal environment and subjected to mechanical loading is presented. The GPLRC imperfect annular plate’s displacement fields are determined using third-order shear deformation theory (third-order SDT) and nonlinearity of vibration behavior of this structure is taken into account considering von Karman nonlinear shell model. Energy method known as Hamilton principle is applied to create the motion equations governed to the shell structures, while they are solved using generalized differential quadrature method (GDQM) as well as perturbation method (PM). Ultimately, the research’s outcomes reveal that increasing the value of the moisture change ($\Delta H$) and orientation angle parameter ($\theta$), and the rigidity of the boundary conditions lead to an increase in the structure’s frequency. Besides, whenever the values of the nonlinear parameter ($\gamma$) are positive and negative, the dynamic behavior of the plate tends to have hardening and softening behaviors, respectively, and could not be seen any effects from $\gamma$ parameter on the maximum amplitudes of resonant vibration of the GPLRC imperfect annular plate. Last but not the list by decreasing the structure’s flexibility, the plate can be susceptible to have unstable responses.

Keywords:

• Large amplitude
• imperfection
• hygro-thermal environment
• GPLRC annular plate
• von Karman type geometry nonlinearity
• perturbation method

Acknowledgment

Supported by the construct program of applied specialty disciplines in Hunan province (Hunan Institute of Engineering)