The dynamics of a cracked, simply supported uniform beam is treated for either bending or axial vibrations. The crack is simulated by an equivalent spring, connecting the two segments of the beam. Analysis of this approximate model results in algebraic equations which relate the natural frequencies
IDENTIFICATION OF TRANSVERSE CRACK LOCATION IN FLEXURAL VIBRATIONS OF FREE–FREE BEAMS
✍ Scribed by M. Boltezar; B. Strancar; A. Kuhelj
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 128 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
This paper deals with the crack identification procedure for free-free uniform beams in flexural vibrations. The model of a transverse crack includes an equivalent linear spring, connecting two segments of a beam. By measuring the changes of natural frequencies in flexural vibrations it is possible to study the inverse problem-the crack site identification. The method is based on the assumption that the crack stiffness does not depend on the frequency of vibration. It requires at least two natural frequencies to be measured which are changed due to the crack existence. The comparison with the crack sites, identified by measuring both axial and flexural vibrations, showed better results for the flexural vibration case.
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