Abstract
The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic manner. The effects of misalignment on t he natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of rotation cannot be avoided in the removable disks such as CD-R. CD-RW or DVD disks. Assuming that the in -plane displacements are in steady s tate and the out-of-plane displacement is in dynamic state, the equations of motion are derived for the misaligned spinning disk. After the exact solutions are obtained for the steady -state in-plane displacements, they are plugged into the equation for the dynamic-state out-of-plane motion. The resultant equation is a linear equation for the out of-plane displacement. which is discretized by the Galerkin method. Based on the discretized equations, the effects of the misalignment are analyzed on the vibratio n characteristics of the spinning disk, i.e., the natural frequencies and the critical speed.
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