Abstract
In this article, amplitude, and vibrational characteristics of a rotating laminated cantilever microdisk are presented. The centrifugal and Coriolis effects due to the rotation are considered. The strain and stress relations can be determined via the higher-order shear deformable theory (HSDT). For accessing to size-effects, the nonlocal strain gradient theory (NSGT) is used for obtaining the correct results. The boundary conditions are derived through governing equations of the laminated rotating microdisk using an energy method known as Hamilton's principle and finally are solved using generalized differential quadrature method (GDQM). Vibration characteristics of the spinning microdisk with various boundary conditions are described based on the curves drawn by Matlab software. Also, the simply-supported conditions are applied to edges θ=π/2, and θ=3π/2, and, cantilever (clamped–free) boundary conditions are investigated in R = Ri, and R0, respectively. Apart from the numerical solution, a 3-D finite element model using ABAQUS software is presented using the finite element package to simulate the response of the laminated cantilever disk. The results created from a finite element simulation illustrates a close agreement with the semi-numerical method results. The outcomes show that the number of layers, angle of ply, angular velocity speed, length scale, and nonlocal parameters, and geometrically properties of microdisk have a considerable impact on the amplitude, and vibration behavior of a rotating laminated cantilever microdisk. As an applicable result in related industries, if the structure is made of an even number of layers, the frequency response of the system would be better, especially at the smaller values of the radius ratio.
Published Version
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