Table of Contents
ISRN Mechanical Engineering
Volume 2011, Article ID 727120, 13 pages
Research Article

Vibration Analysis of a Rotating Disk with a Crack

Machine Design Laboratory, Mechanical and Aeronautics Engineering Department, University of Patras, 26500 Patras, Greece

Received 3 May 2011; Accepted 15 June 2011

Academic Editor: K. Yasuda

Copyright © 2011 A. S. Bouboulas and N. K. Anifantis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies the vibrational behaviour of a rotating disk with a radially or circumferentially oriented crack. The disk rotates with a constant angular speed. To treat this problem, the finite element method is employed. The disk is discretised into finite elements, and the crack is considered as nonpropagating and always open. The solutions to this problem's governing equations yield the natural frequencies and mode shapes. The frequency response due to dynamic loading is also yielded to determine the crack's effect on the frequency domain. For both crack orientations, parametric studies are conducted to investigate the sensitivity of the vibrational behaviour to the disk's angular speed and radial crack length or circumferential crack angle and distance from the disk's centre. The accuracy of the results is validated through comparisons with results available from the literature.