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Structural Engineering and Mechanics Volume 34, Number 4, March10 2010 , pages 475-490 DOI: https://doi.org/10.12989/sem.2010.34.4.475 |
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New formulation for vibration analysis of Timoshenko beam with double-sided cracks |
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M.R. Ayatollahi, R. Hashemi and H. Rokhi
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| Abstract | ||
| It is the intention of this study to synthesize the effects of double-edge cracks on the dynamic characteristics of a beam. The stiffness matrix is first determined for a Timoshenko beam containing two same-line edge cracks. The presented model is then developed for elements with two parallel double-sided cracks, considering the interaction between the stress fields of adjacent cracks. Finally, a finite element code is implemented, to examine the influence of depth and location of double cracks, on the natural frequencies of the damaged system. | ||
| Key Words | ||
| crack identification; Timoshenko beam; free vibration; flexibility matrix; double-sided cracks. | ||
| Address | ||
| M.R. Ayatollahi: Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, Iran R. Hashemi:Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, Iran H. Rokhi: Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, Iran | ||