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Journal of Vibration and Control, Vol. 12, No. 11, 1271-1287 (2006)
DOI: 10.1177/1077546306071694

Flexural Vibration of Rotating Cracked Timoshenko Beam

Samer Masoud Al-Said

Mechanical Engineering Department, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, Jordan, masoud{at}just.edu.jo

Malak Naji

Mechanical Engineering Department, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, Jordan

Adnan A. Al-Shukry

Mechanical Engineering Department, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, Jordan

In this study, a simple model is proposed that describes the flexural vibration characteristics of a rotating cracked Timoshenko beam. The cracked beam is modeled using two uniform segments connected by a massless torsional spring at the crack location. The equation of motion is derived using Lagrange’s method in conjunction with the assumed mode method. The proposed model is used to study the effect of crack depth, shear deformation, and rotation speed on the dynamic characteristics of the beam, and compare the results with those obtained from the widely used Euler-Bernoullibeammodel. Itisshownthatforthe same crack depth the proposed model has a higher reduction in frequency compared to that of Euler-Bernoulli beam. Model verification is carried out using three dimensional finite element analysis, which reveals good agreement with the assumed mode results.

Key Words: Cracked beam • crack identification • rotating beam vibration • nondestructive test


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