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http://dx.doi.org/10.12989/sem.2010.34.4.475

New formulation for vibration analysis of Timoshenko beam with double-sided cracks  

Ayatollahi, M.R. (Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology)
Hashemi, R. (Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology)
Rokhi, H. (Fatigue and Fracture Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.34, no.4, 2010 , pp. 475-490 More about this Journal
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.
Keywords
crack identification; Timoshenko beam; free vibration; flexibility matrix; double-sided cracks;
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