✦ LIBER ✦

CRACK IDENTIFICATION IN VIBRATING BEAMS USING THE ENERGY METHOD

✍ Scribed by X.F. YANG; A.S.J. SWAMIDAS; R. SESHADRI

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 351 KB
Volume: 244
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3498

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✦ Synopsis

An energy-based numerical model is developed to investigate the in#uence of cracks on structural dynamic characteristics during the vibration of a beam with open crack(s). Upon the determination of strain energy in the cracked beam, the equivalent bending sti!ness over the beam length is computed. The cracked beam is then taken as a continuous system with varying moment of intertia, and equations of transverse vibration are obtained for a rectangular beam containing one or two cracks. Galerkin's method is applied to solve for the frequencies and vibration modes. To identify the crack, the frequency contours with respect to crack depth and location are de"ned and plotted. The intersection of contours from di!erent modes could be used to identify the crack location and depth.

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