Abstract
Elastic stress analysis of rotating variable thickness annular disk made of functionally graded material (FGM) is presented. Elasticity modulus, density, and thickness of the disk are assumed to vary radially according to a power-law function. Radial stress, circumferential stress, and radial deformation of the rotating FG annular disk of variable thickness with clamped-clamped (C-C), clamped-free (C-F), and free-free (F-F) boundary conditions are obtained using the numerical finite difference method, and the effects of the graded index, thickness variation, and rotating speed on the stresses and deformation are evaluated. It is shown that using FG material could decrease the value of radial stress and increase the radial displacement in a rotating thin disk. It is also demonstrated that increasing the rotating speed can strongly increase the stress in the FG annular disk.
Highlights
Graded materials (FGMs) are a type of composite materials that attracted considerable attention in recent years due to their thermomechanical properties
The first idea for producing Functionally graded materials (FGMs) was their application in high temperature environment and the improvement of their mechanical properties under complex thermal and mechanical loads
By substituting (5) in to (1), the equilibrium equation is obtained in terms of radial displacement and the obtained equation should be solved by considering the boundary conditions
Summary
Graded materials (FGMs) are a type of composite materials that attracted considerable attention in recent years due to their thermomechanical properties. Kermani et al [11] used differential quadrature method (DQM) to solve the equations of motion of rotating FG annular plates They obtained the natural frequencies and critical speeds of the plates and evaluated the effects of the graded index, angular velocity, and geometric parameters on the modal data. Gutzwiller and Turner [17, 18] developed computer software for automated design optimization of rotating bladed disks They used finite difference method for obtaining the stresses and displacements and they assumed various thickness variations of the plate in their research. Vivio et al [22] carried out a stress analysis in rotating disk without singularities and with temperature distribution along the radial direction They assumed the thickness variation of the disk to be hyperbolic and solved the equation analytically. The effects of the graded index, thickness variation, and angular velocity on the radial and circumferential stress and radial displacement are evaluated
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