## 1 Introduction  
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. Exploring the mechanical performance of annular plates with respect to different types of loading and boundary conditions is of great importance for engineers. In order to achieve desired thermo-mechanical properties, carbon-based materials are among the best choices to reinforce engineering structures at different length scales. Composites consists of a matrix and a macroscale reinforcement such as carbon fibers (CF) oriented in specific directions to enrich mechanical performance of the structure. [PERSON] et al. [1] used multiscale analysis to investigate the role of the fiber orientation and sequence of the laminate on the forced oscillation response of CF-reinforced composite beams. Moreover, they designed experiments confirming the accuracy of their numerical results. [PERSON] and [PERSON] [2] studied the post-buckling and buckling performance of fiber-reinforced beams exposed to a hygro-thermal environment. Reinforcing composites with nano-fibers instead of macroscale fibers might significantly enhance the mechanical properties of the composite [3; 4; 5]. [PERSON] and [PERSON] [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). They reported that the critical buckling loads obtained by their approach were lower than those obtained according to classical theory as a result of considering the shear strain terms. [PERSON] and [PERSON] [7] applied the differential quadrature method (DQM) to study the vibration characteristics of two-dimensional continuously graded CNTR thick annular plates resting on an elastic substrate within the framework of elasticity theory. [PERSON] and [PERSON] [8] investigated the free vibration behavior through the thickness-graded CNTR annular plates resting on an elastic foundation on the basis of elasticity theory and employing the DQM. In both studies, the Eshelby-Mori-Tanaka micromechanics approach was used to approximate the effective elastic properties of the composite. Functionally graded materials (FGM) are a very popular group of advanced materials [9; 10; 11; 12; 13]. Applying the variational differential quadrature method (VDQM) and assuming first-order shear deformation theory (FSDT), [PERSON] et al. [14] carried out vibration and buckling analyses of functionally graded carbon nanotube reinforced composites (FG-CNTRC) surrounded by an elastic substrate and subjected to thermal loads. [PERSON] 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). Following the same procedure, [PERSON] et al. [17] explored the large amplitude performance of FG-CNTRC annular plates coupled with piezoelectric layers resting on elastic substrate. [PERSON] and [PERSON] [18] claimed that it is necessary to develop governing equations for large amplitude vibration of FG-CNTRC annular plates in the form of general asymmetric relations accounting for initial thermal stresses to obtain accurate results. Within the framework of FSDT, [PERSON] et al. [19] studied the vibration response of thick FG-CNTRC annular sector plates utilizing the artificial spring boundary method. The buckling performance of moderately thick FG-CNTRC annular sector plates resting on Pasternak elastic substrates and subjected to shear and in-plane loading has been analyzed by [PERSON] et al. [20].