Determination of Buckling Speed for Rotating Orthotropic Disk Restrained at Outer Edge

The critical angular speed of rotating polar orthotropic circular plates whose outer boundary is constrained from deforming radially is obtained as a function of ply orientation angle. Because the expressions obtained for radial compressive stresses formed due to centrifugal forces were complicated, attaining a closed-form solution of the governing differential equation was not possible. Galerkin formulation of the finite element method has been resorted to, and the results are presented for a full plate and for a plate fixed at its center to a rigid shaft. Increasing the angle of ply orientation up to a certain value decreased the critical speed. In the case of a concentric shaft, increasing the shaft radius increased the critical speed, contributing to the stability of the plate.

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