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Abstract Rotating annular and solid disks are of practical concern in many fields of engineering, such as marine, mechanical and civil engineering with many industrial applications, including turbo-machinery, flywheel systems and centrifugal compressors. The stresses due to centrifugal load can have important effects on the strength and safety. Thus, control and optimization of stress and displacement fields are serious goals in designing of these structures. In recent years, to achieve this aim, use of non-homogeneous materials such as functionally graded materials, in which the mechanical properties vary smoothly and continuously from one surface to the other, has been increased .In reality, the thickness of the disk is frequently not constant, such as turbine disk, due to economic consideration and in order to improve mechanical performance. Furthermore, it has been shown that the stresses in variable thickness rotating annular and solid disks are much lower than those in constant thickness disks at the same angular velocity. |