This paper investigated the nonlinear dynamic response and vibration of functionally graded carbon nanotubes-reinforced composite cylindrical panels with the support elastic foundations subjected to mechanical, thermal, and damping loads based on Reddy’s higher order shear deformation shell theory. The cylindrical panel is reinforced by single-walled carbon nanotubes which are graded through the panel thickness according to the different linear functions. The effective material properties of the panel are assumed to depend on temperature and estimated through the rule of mixture. The nonlinear dynamic response and natural frequency for functionally graded carbon nanotubes-reinforced composite cylindrical panel are determined by applying the Galerkin method and fourth-order Runge–Kutta method. In numerical results, the effects of geometrical parameters, temperature increment, nanotube volume fraction, elastic foundations, and types of carbon nanotubes distributions on the nonlinear vibration of functionally graded carbon nanotubes-reinforced composite cylindrical panel are studied and discussed in detail. The present theory and approach are validated by comparing with those in the literature.
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