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This article presents the axial buckling analysis of polymer-CNT-fiber nanocomposite annular system (PCFCAS) resting on Winkler-Pasternak substrates under various temperature gradients. With the aid of Hamilton’s principle and the higher-order shear deformation theory (HSDT), the governing equations are derived. For developing an accurate solution approach, a generalized differential quadrature method (GDQM) is finally employed. Various geometrically parameters are taken into account to investigate the axial buckling analysis of the PCFCAS subjected to a high-temperature environment. Finally, the presented results demonstrate that different parameters such as outer to inner radius ratio (R o /R i ), patterns of temperature increase, volume fraction and orientation angle of the carbon fibers (CFs), weight fraction and distribution patterns of carbon-nanotubes (CNTs), and other geometrical and physical parameters have an important role in the axial buckling load of the current structure. The fundamental and golden results of this paper could be that when the PCFCAS is in an environment with sinusoidal, and uniform temperature change, the structure encounters with the highest axial buckling load. In contrast, the lowest buckling load occurs for the uniform temperature change. Also, when the effect of the Winkler and Pasternak foundation is considered, there is a sinusoidal effect from the R o /R i  parameter on the axial buckling load of the disk, and this matter is true for all boundary conditions.

On the buckling of the polymer-CNT-fiber nanocomposite annular system under thermo-mechanical loads