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

M.R. Ayatollahi, R. Hashemi and H. Rokhi

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

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