Free and Forced Longitudinal Vibrations of a Cantilevered Bar With a Crack

[+] 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, VA 24061-0105

J. Wauer

Institut für Technische Mechanik, Universität Karlsruhe, W-7500 Karlsruhe 1, Germany

J. Vib. Acoust 114(2), 171-177 (Apr 01, 1992) (7 pages) doi:10.1115/1.2930246 History: Received August 01, 1990; Online June 17, 2008


Longitudinal vibrations of a cantilevered bar with a transverse crack are investigated. For undamped, unforced vibrations, frequency spectra are computed and the effects of the crack location and compliance on the fundamental natural frequency are determined. For vibrations caused by a distributed, longitudinal, harmonic force, the steady-state amplitude of motion of the free end is plotted as a function of the forcing frequency, crack location, and crack compliance, and frequency spectra are also obtained. Results for a breathing crack are compared to those for a crack which remains open and those for an uncracked bar.

Copyright © 1992 by The American Society of Mechanical Engineers
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