Nonlinear vibration of temperature-dependent FG-CNTRC laminated plates with negative Poisson's ratio: Fid-Bau Portal

Nonlinear vibration of temperature-dependent FG-CNTRC laminated plates with negative Poisson's ratio

Yang, Jian / Huang, Xu-Hao / Shen, Hui-Shen

Abstract This paper reports a study on the large amplitude nonlinear vibration of carbon nanotube-reinforced composite (CNTRC) laminated plates with negative Poisson's ratios in thermal environments. The constituent materials of CNTRCs are temperature-dependent and the plate is functionally graded (FG) in a piece-wise pattern in the thickness direction of plate. An extended Voigt (rule of mixture) model is adopted to quantify the CNTRC material properties of the laminated plate. The governing motion equations for the large amplitude vibration of FG-CNTRC laminated plates are based on the Reddy's third order shear deformation theory and the von Kármán-type kinematic nonlinearity framework, and the thermal effects and the reaction from elastic foundation are taken into account. The nonlinear solution of the motion equation can be obtained by applying a two-step perturbation approach. The effects of material property gradient, the temperature variation, stacking sequence as well as the foundation stiffness on the vibration characteristics of CNTRC laminated plates are examined and discussed in depth through a parametric study. The results show that negative Poisson's ratio has a significant effect on the linear and nonlinear vibration characteristics of CNTRC laminated plates.

Highlights • Both piece-wise functionally graded configurations and negative Poisson’s ratios (NPR) are considered. • We show that the ( $\pm 22$ )3T CNT/PmPV laminated plate has the maximum NPR $ν_{13}$ , while the ( $\pm 70$ )3T CNT/PmPV laminated plate has the maximum NPR $ν_{23}$ . • We show the EPR-deflection curves for CNTRC laminated plates in the large amplitude vibration region for the first time.