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The vibration frequencies of multi-walled carbon nanotube-reinforced polymer composite structure are examined numerically via a generic higher-order shear deformation kinematics for different panel geometries. The extensive behaviour of the current higher-order model is demonstrated by comparing the results with the published data including the own in-house experimental values. In this analysis, the required elastic properties of the randomly distributed nanotube-reinforced polymer composite panel are evaluated numerically using Mori–Tanaka scheme. Firstly, the equation of motion of the vibrated nanotube composite panel derived via the classical Hamilton's principle and the isoparametric finite element steps are implemented for the numerical purpose. Further, the modal responses are obtained computationally using an original computer code (MATLAB) with the help of the higher-order finite element …