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Vibration Analysis of a Flexible Spinning Disk Considering the effect of Misalignment

회전축 정렬불량을 고려한 유연회전디스크의 진동해석

  • Jeong, Jin-Tae (Precision Mechanical Engineering Graduate School of Hanyang University) ;
  • Heo, Jin-Uk (Precision Mechanical Engineering Graduate School of Hanyang University) ;
  • Choe, Gi-Yeong (Dept.of Aerospace Engineering, Inha University)
  • 정진태 (한양대학교 정밀기계공학과 대학원) ;
  • 허진욱 (한양대학교 정밀기계공학과 대학원) ;
  • 최기영 (인하대학교 항공우주공학과)
  • Published : 2002.05.01

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 the natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of relation 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 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 are obtained fur 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 dquations, the effects of the misalignment are analyzed on the vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed.

Keywords

Spinning Dsik;Misalignment;Exact Solution;Galerkin′s Method;Eigenvalue;Critical Speed

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