회전축 정렬불량을 가지는 유연 회전디스크의 고유치 해석

Abstract

The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic mamm. The effects of misalignment on the natural frequency need to be investigated, because the mi^ligmiient between the axis of symmetry and the axis of rotation cannot be avoided in the ranovable disks such as CD-R, CD-RW or DVD disks. Assuming that the in-plane displacements are in steady state 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 arc 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 die vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed.