Abstract
Abstract In this work, a hybrid laminated plate is developed by changing ply orientations and stacking sequences. The hybrid laminated plate is composed of carbon nanotube reinforced composite and fiber reinforced composite layers. Negative Poisson’s ratio (NPR) is obtained for the case of [22F/(22C/−22C)3T/−22F] laminate. A theoretical laminated model considering geometric nonlinearity and shear deformation is presented. Based on a two-step perturbation method, the solutions of the motion equations are obtained to capture the nonlinear frequencies and load–deflection curves. On this basis, the fourth-order Runge–Kutta method is used to obtain the dynamic response of hybrid laminated plates. The presented model is verified by comparing the results obtained analytically and numerically. Several factors such as loading and distribution of carbon nanotubes (CNTs), and foundation type are considered in parametric study. Numerical results indicate that the thermal-mechanical behavior of hybrid laminated plates significantly improved by properly adjusting the CNT distribution. In addition, the results reveal that changes in temperature and foundation stiffness have pronounced influence on the nonlinear vibration characteristics of hybrid laminate plates with NPR as compared to those with positive Poisson’s ratio.
Highlights
Structures made from auxetic materials are becoming important in many industries because of the inherent excellent properties of these materials
Investigations were made to study the bending [10,11], dynamic [12,13], and buckling behavior [13,14,15] of these structures. In these researches [10,11,12,13,14,15], the value of the negative Poisson’s ratios (NPRs) for estimating the effect of auxetic feature on the mechanical behavior of a plate is based on an assumption
Fu et al [30,31] examined the dynamic instability of FGCNTRC and FGM conical shells in the framework of firstorder shear deformation theory
Summary
Structures made from auxetic materials are becoming important in many industries because of the inherent excellent properties of these materials. Investigations were made to study the bending [10,11], dynamic [12,13], and buckling behavior [13,14,15] of these structures In these researches [10,11,12,13,14,15], the value of the negative Poisson’s ratios (NPRs) for estimating the effect of auxetic feature on the mechanical behavior of a plate is based on an assumption. Fu et al [30,31] examined the dynamic instability of FGCNTRC and FGM conical shells in the framework of firstorder shear deformation theory Yang and his coauthors studied the effects of out-of-plane NPR on the nonlinear flexural and dynamic behavior of FG-CNTRC structures [32,33]. The effects of the CNT configuration, environmental conditions, and foundation type on the mechanical behavior of hybrid laminated plate with NPR or positive Poisson’s ratio (PPR) are assessed
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