The main focus of this study is the dynamic behavior of rotating annular disks. The Galerkin method was used to determine the free vibration characteristics of rotating disks. In this method, the approximate function, that satisfies the boundary conditions for the solution, is selected and replaced by the differential equation of motion. Free vibrations of rotating disks, clamped at the inner circumference and free at the outer one, have been investigated. Also, Campbell diagrams are created to visualize system behavior. Solution of governing differential equations of the system is obtained by Galerkin method that includes proposing an approximate function for displacement that satisfies the boundary conditions. Two displacement functions are selected for the solution, and the boundary conditions are imposed to obtain the natural frequencies of the rotating disk. It is investigated how the dynamic behavior is affected by the disk’s rotation speed in detail, and the results are visualized using Campbell diagrams drawn using dimension-less geometric parameters. Also, the solution method is validated using the results of the related studies in the literature.
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To Cite this article
O. Oldac, M. Tufekci, O. E. Genel and E. Tufekci, “Free bending vibrations of rotating disks with a concentric hole,” International Journal of Technology and Engineering Studies, vol. 3, no. 6, pp. 253-263, 2017.
