Some results of mathematical simulations of bending vibrations encountered in a cracked aircraft wing under external harmonic excitation are presented. It is shown that due to the in#uence of the elastic non-linearity of typical cracks, superharmonic vibration regimes appear in the system response.
DETECTION OF FATIGUE CRACKS IN FLEXIBLE GEOMETRICALLY NON-LINEAR BARS BY VIBRATION MONITORING
โ Scribed by S.L. Tsyfansky; V.I. Beresnevich
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 199 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The results of mathematical simulation of flexural vibrations of a geometrically non-linear cracked bar under external harmonic excitation are presented. It is shown, that thanks to the influence of elastic non-linearity of the crack, new non-linear properties which are impossible in the initial undamaged structure, appear in the system (self-excitation of subharmonic regimes, appearance of even-numbered harmonic components in frequency spectrum of 3/1 order superharmonic regime). By the utilization of these non-linear effects a new method for detection of cracks is developed. Unlike traditional procedures, the proposed method permits recognition of the legitimated response to non-linearity of the crack through interfering signals from the geometrical non-linearity of a bar.
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