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In this paper, the acoustical symptoms of a constructional element with an edge non-propagating crack on the example of a cantilever beam are searched. In this work the influence of a crack on flexural natural frequency was analysed. The crack is substituted by a rotational spring, which flexibility is calculated using the Castigliano theorem and the laws of the fracture mechanics. In this work the changes in the first and second natural frequency of the flexural vibrations are showed as a function of location and depth of the crack. The acoustic signal measured with a microphone placed above the beam is used for diagnostic systems. Changes in the natural frequency cannot be used for the identification of a small crack (the depth is less than 10% of beam height). For the detecting of a smaller crack, the effect of coupled different modes of vibration is presented. The paper presents a modelling and analysis algorithm for cracked Euler-Bernoulli beams by considering the coupling between the bending and axial vibration modes. The analysis of the coupled vibrations showed that additional resonance frequencies appeared in the acoustic spectrum.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
17--28
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland, majkut@agh.edu.pl
Bibliografia
- [1] BAMNIOS Y., Crack identification in beam structures using mechanical impedance, Journal of Sound and Vibration, 256, 287–297 (2002)
- [2] BASZTURA CZ., Computer systems for acoustical diagnostic [in Polish], PWN, Warszawa 1996.
- [3] CACCIOLA P., IMPOLLONIA N., MUSCOLINA G., Crack detection and location in a damaged beam vibrating under white noise, Computers and Structures, 81, pp. 1773-1782 (2003).
- [4] DADO M., ABUZEID O., Coupled transverse and axial vibratory behaviour of cracked beam with end mass and rotaty inertia, Journal of Sound and Vibration, 261, 675–696 (2003).
- [5] DARPE A. K., GUPTA K., CHAWLA A., Coupled bending, longitudinal and torsional vibrations of a cracked rotor, Journal of Sound and Vibration, 269, 33–60 (2004).
- [6] ENGEL Z., STRYCZNIEWICZ L., Determination of acoustic power emitted by vibrating plate [in Polish], AGH, Mechanika, 9, 5–12 (1990).
- [7] FAHY F., Sound and structural vibration, Academic Press, London 1985.
- [8] KRAWCZUK M., OSTACHOWICZ W., Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements, Mechanika Teoretyczna i Stosowana, 34, 307–326 (1996).
- [9] LEE Y-S., CHUNG M-J., A study on crack detection using eigenfrequency test data, Computers and Structures, 77, 327–342 (2000).
- [10] MAJKUT L., Identification of crack in beams with well-known boundary conditions [in Polish], Diagnostyka, 32, 107–116 (2004).
- [11] MAJKUT L., Identification of crack in beams with eigenvalue [in Polish], AGH, Mechanika, 24, 21–28 (2005).
- [12] MAJKUT L., Identification of crack in beams using forced vibration amplitudes [in Polish], AGH, Mechanika, 24 (2005).
- [13] MAJKUT L., Crack modelling in vibroacoustic model based diagnostics [in Polish], Diagnostyka, 34 (2005).
- [14] MAJKUT L., Crack infuence on beam vibration. Diagnostic symptoms [in Polish], pp. 131–137, IV Seminarium Degradacji Systemów Technicznych, Warszawa 2004.
- [15] MALECKI I., Physical foundations of technical acoustics, PWN, Warszawa 1969.
- [16] MURAKAMI Y., Stress intensity factors handbook, Pergamon Press, Oxford 1987.
- [17] OWOLABI G.M., SWAMIDAS A. S. J., SESHADRI R., Crack detection in beams using changes in frequencies and amplitudes of frequency response functions, Journal of Sound and Vibration, 265, 1–22 (2003).
- [18] TIAN J., LI Z., SU X., Crack detection in beams by wav
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0037-0023