Free Vibrations of a Flexible Spinning Disk with Axial Translation and Rigid-Body Tilting

Abstract

Free vibrations are analyzed for a flexible spinning disk / spindle system with axial translation and rigid-body tilting.Considering the effects of the rigid-body motions of the disk / spindle system, the coupled equations of motion are derived by using Hamilton's principle based upon the Kirchhoff plate theory and von Karman strain theory.The coupled equations are solved by the Galerkin approximation method in order to obtain natural frequencies of the disk / spindle system with axial translation or rigid-body tilting.This study puts a focus on the effects of the rigid-body motions such as axial translation and rigid-body tilting which are coupled with the flexible modes of the disk.