Two solutions for the BVP of a rotating variable-thickness solid disk

Ashraf M. Zenkour, Suzan A. Al-Ahmadi

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DOI: 10.4236/ns.2011.32021                

Abstract

This paper presents the analytical and numerical solutions for a rotating variable-thickness solid disk. The outer edge of the solid disk is considered to have free boundary conditions. The governing equation is derived from the basic equations of the rotating solid disk and it is solved analytically or numerically using finite difference algorithm. Both analytical and numerical results for the distributions of stress function and stresses of variable-thickness solid disks are obtained. Finally, the distributions of stress function and stresses are presented and the appropriate comparisons and discussions are made at the same angular velocity.

Keywords

Rotating, Solid Disk, Variable Thickness, Analytical Method, Finite Difference Method

Conflicts of Interest

The authors declare no conflicts of interest.

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