$R_1,h,L$	Small radius, thickness, and length of the conical shell
$\alpha ,{\theta }_0$	Semi-vertex and subtended angles of the conical shell
$\varpi$	Neutral surface of the conical shell
$p,k_w,k_s$	Unit area force, Winkler, and shearing layer stiffness of the foundation
$V_m,V_{GPL}$	Volume fractions of the matrix and GPL
$g_{GPL},V_{GPL}^{*}$	Mass fraction and total volume fraction of GPL
$E_c,E_m,E_{GPL}$	Elastic moduli of GPLRC, matrix, and GPL
$l_{GPL},t_{GPL},w_{GPL}$	Length, thickness, and width of GPL
${\nu }_c,{\nu }_m,{\nu }_{GPL}$	Poisson’s ratios of GPLRC, matrix, and GPL
${\rho }_c,{\rho }_m,{\rho }_{GPL}$	Densities of GPLRC, matrix, and GPL
$u,v,w$	Components of displacement of the shell
$u_0,v_0,w_0$	Translation components at the neutral surface of the shell
${\beta }_x,{\beta }_y$	Rotational components at the neutral surface of the shell
${\epsilon }_{xx},{\epsilon }_{\theta \theta },{\epsilon }_{x\theta }$	In-plane strain components
${\gamma }_{\theta z},{\gamma }_{xz}$	Transverse shear strains
${\sigma }_{xx},{\sigma }_{\theta \theta },{\sigma }_{x\theta }$	In-plane stress components
${\tau }_{\theta z},{\tau }_{xz}$	Transverse shear stresses
${\Im }_C,{\Im }_R$	Physical and computational NEM grids
${\omega }_I,d_I$	Nonlinear natural frequencies and natural modes
$\kappa \left(=5/6\right)$	Shear correction factor
$\vartheta \left(\vartheta >0\right)$	Shear stabilization parameter
$W_{\max }^{*}$	Non-dimensional peak deflection
$K_w,K_s$	Calibrated Winkler and shearing layer stiffness of the foundation
${\Omega }_L,{\Omega }_{NL}$	Non-dimensional linear and nonlinear fundamental frequencies