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Shock and Vibration
Volume 10, Issue 3, Pages 187-194
http://dx.doi.org/10.1155/2003/176152

Dynamic Stability of Rotating Blades with Transverse Cracks

T.Y. Ng,1,2 K.Y. Lam,1 and Hua Li1

1Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn Singapore Science Park II, 117528, Singapore
2School of Mechanical and Production Engineering, Nanyang Technological University 50 Nanyang Avenue, 639798, Singapore

Received 4 October 2001; Revised 12 December 2002

Copyright © 2003 Hindawi Publishing Corporation. 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.

Abstract

In this paper, the main objective is to examine the effects of transverse cracks on the dynamic instability regions of an axially loaded rotating blade. The blade is modeled as an Euler-Bernoulli beam. To reduce the governing equations to a set of ordinary differential equations in matrix form, Hamilton's principle is used in conjunction with the assumed-mode method. The crack is accounted for by considering the energy release rate and the parametric instability regions are obtained using Bolotin's first approximation. Benchmark results are presented for cracked rotating blades at different rotating speeds, crack lengths and crack positions.