TECHNICAL NOTES
Oct 15, 2003

Vibratory Characteristics of Timoshenko Beams with Arbitrary Number of Cracks

Publication: Journal of Engineering Mechanics
Volume 129, Issue 11

Abstract

An analytical approach is proposed for determining vibratory characteristics of cracked Timoshenko beams. Based on the rotational spring model for describing the local flexibility induced by a crack and the developed fundamental solutions, the frequency equation for a Timoshenko beam with any kind of two end supports and an arbitrary number of cracks can be established from a second-order determinant. The decrease in the determinant order can lead to significant savings in the computational time.

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References

Dimarogonas, A. D.(1996). “Vibration of cracked structures: A state of the art review.” Eng. Fract. Mech., 55, 831–857.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 11November 2003
Pages: 1355 - 1359

History

Received: Jan 22, 2001
Accepted: Oct 10, 2002
Published online: Oct 15, 2003
Published in print: Nov 2003

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Authors

Affiliations

Q. S. Li, M.ASCE
Associate Professor, Dept. of Building and Construction, City Univ. of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong.

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