The Modelling of the Opening and Closure of a Crack

[+] Author and Article Information
O. N. L. Abraham, J. A. Brandon

Division of Mechanical Engineering and Energy Studies, School of Engineering, University of Wales College of Cardiff, PO Box 917, Cardiff CF21XH, United Kingdom

J. Vib. Acoust 117(3A), 370-377 (Jul 01, 1995) (8 pages) doi:10.1115/1.2874463 History: Received January 01, 1992; Online February 26, 2008


The paper presents a method which utilizes substructure normal modes to predict the vibration properties of a cantilever beam with a breathing transverse crack. The two segments of the cantilever beam, separated by the crack, are related to one another by time varying connection matrices representing the interaction forces. The connection matrices are expanded in a Fourier series leading to a classical eigenvalue problem. Subsequently, the initial formulation is extended to avoid interference of the crack interfaces with a time domain formulation. The Lagrange multipliers, used to enforce the exact continuity constraints when the crack is closed, produce the interfaces forces needed for the modelling of interface dry friction.

Copyright © 1995 by The American Society of Mechanical Engineers
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