Abstract
In this article, we study the vibration performance of multiscale hybrid nanocomposite (MHC) annular plates (MHCAP) resting on Winkler–Pasternak substrates exposed to nonlinear temperature gradients. The matrix material is reinforced with carbon nanotubes (CNTs) or carbon fibers (CF) at the nano- or macroscale, respectively. The annular plate is modeled based on higher-order shear deformation theory (HSDT). We present a modified Halpin–Tsai model to predict the effective properties of the MHCAP. Hamilton’s principle was employed to establish the governing equations of motion, which is finally solved by the generalized differential quadrature method (GDQM). In order to validate the approach, numerical results were compared with available results from the literature. Subsequently, a comprehensive parameter study was carried out to quantify the influence of different parameters such as stiffness of the substrate, patterns of temperature increase, outer temperature, volume fraction and orientation angle of the CFs, weight fraction and distribution patterns of CNTs, outer radius to inner radius ratio, and inner radius to thickness ratio on the response of the plate. The results show that applying a sinusoidal temperature rise and locating more CNTs in the vicinity of the bottom surface yielded the highest natural frequency.
Highlights
Annular plates are among the most important structural components widely employed in different branches of engineering like civil applications, aerospace technologies, manufacturing industry, and so on
Properties of functionally graded (FG) and uniform distribution of NCM along the thickness direction of the annular plate are displayed in Figure 4 and expressed according to the following relations
We present a comprehensive parameter study to quantify the effects of various parameters on the free vibration response of MHCAP
Summary
Annular plates are among the most important structural components widely employed in different branches of engineering like civil applications, aerospace technologies, manufacturing industry, and so on. Maghamikia and Jam [6] employed the finite element method (FEM) to study the buckling behavior of carbon nanotube-reinforced (CNTR) annular and circular plates on the basis of third-order shear deformation theory (TSDT). Keleshteri et al [15,16] focused on the post-buckling and large amplitude vibration characteristics of FG-CNTRC annular sector plates with integrated piezoelectric layers on the basis of FSDT considering von Karman nonlinearity and utilizing generalized differential quadrature method (GDQM). Utilizing FEM within the framework of hyperbolic shear deformation theory and taking von Karman-type nonlinearity into account, Ebrahimi and Habibi [63,64] analyzed the nonlinear dynamic and low-velocity eccentric impact response of CNT/CF/polymer plates resting on elastic substrates in a thermal environment. The GDQM was employed to solve for the vibration response of the plate
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