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In this study, the vibrational characteristics of a rotating multi-hybrid nanocomposite reinforced (MHCR) cantilevered disk (MHCRCD) are presented. The centrifugal and Coriolis effects due to the rotation are considered. The strains and stresses can be determined via the high-order shear deformable theory (HSDT). For access to various mass densities, as well as the Poisson ratio, the rule of the mixture is applied, although a modified Halpin-Tsai theory is used for obtaining the module of elasticity. The boundary conditions and governing equations are obtained using Hamilton’s principle and finally are solved via generalized differential quadrature method (GDQM). Vibration characteristics of the rotating MHCRCD with various boundary conditions are described according to the curves drawn by Matlab software. Also, the simply supported conditions are applied to edgesandalso, cantilever (clamped–free) boundary conditions are investigated in  R  =  R i, and  R 0, respectively. Apart from the numerical solution, a 3-D finite element model using ABAQUS software was presented using the finite element package to simulate the response of the rotating MHCRCD. The results created from a finite element simulation illustrates a close agreement with the semi-numerical method results. The outcomes show that the fibers' angel, angular velocity speed, and various patterns of carbon nanotube (CNT) have a considerable impact on the amplitude, and vibration behavior of a rotating MHCRCD. As an applicable result in related industries, the rotating speed effect on the real part of frequency is more effective in the higher values of the radius ratio.

On the vibrations of a high-speed rotating multi-hybrid nanocomposite reinforced cantilevered microdisk