Transverse Natural Vibrations of a Cracked Beam Loaded with a Constant Axial Force

[+] Author and Article Information
M. Krawczuk, W. M. Ostachowicz

Institute of Fluid Flow Machinery, Polish Academy of Sciences, ul. Gen. J. Fiszera 14, 80-952 Gdańsk, Poland

J. Vib. Acoust 115(4), 524-528 (Oct 01, 1993) (5 pages) doi:10.1115/1.2930381 History: Received November 01, 1991; Revised August 01, 1992; Online June 17, 2008


The influence of transverse, one-edge open cracks on the natural frequencies of the cantilever beam subjected to vertical loads is analyzed. A finite element method (FE) is used for modelling the beam. A part of the cracked beam is modelled by beam finite elements with an open crack. Parts of the beam without a crack are modelled by standard beam finite elements. An algorithm of a linear stiffness matrix and a geometrical stiffness matrix calculation for a cracked element is presented. The results of numerical calculations obtained for the presented model are compared with the results of analytical calculations given in the literature and also with the results of numerical calculations obtained for a model with geometrical stiffness matrix of uncracked elements.

Copyright © 1993 by The American Society of Mechanical Engineers
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