Detection of Cracks in Rotating Timoshenko Shafts Using Axial Impulses

[+] Author and Article Information
K. R. Collins, R. H. Plaut

Charles E. Via, Jr. Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0105

J. Wauer

Institut für Technische Mechanik, Universität Karlsruhe, D-7500 Karlsruhe 1, West Germany

J. Vib. Acoust 113(1), 74-78 (Jan 01, 1991) (5 pages) doi:10.1115/1.2930158 History: Received March 01, 1990; Online June 17, 2008


A rotating Timoshenko shaft with a single transverse crack is considered. The crack opens and closes during motion and is represented by generalized forces and moments. The shaft has simply supported ends, and the six coupled, piecewise-linear equations of motion (including longitudinal, transverse, and torsional displacements) are integrated numerically after application of Galerkin’s method with two-term approximations for each of the six displacements. Time histories and frequency spectra are compared for shafts with no crack and with a crack for which the crack depth is one-fifth of the shaft diameter. Free vibrations and the responses to a single axial impulse and periodic axial impulses are analyzed. The last case appears to provide an effective means for detecting cracks in rotating shafts.

Copyright © 1991 by The American Society of Mechanical Engineers
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