Vibration-Based Methods For Detecting A Crack In A Simply Supported Beam

Open access


Variable loadings cause fatigue to the structural elements leading to crack initiation and propagation, which results in a decrease in the fatigue life of the elements. In particular, cracks decrease the stiffness and the natural frequency thus, causing specimens to fail under normal working conditions. This paper presents the application of the vibration- based technique for detecting the location and the size of a fatigue crack in structures. The two presented methods are based on the measurements of the natural frequencies of the cracked beam. The crack is modelled by a rotational spring. The predicted crack depth and location are compared with the actual data obtained from finite element models.

[1] Adams, R. D., P. Cawley, C. J. Pye, B. J. Stone. A Vibration Technique for Non-Destructively Assessing the Integrity of Structures. Journal of Mechanical Engineering Science, 20 (1978), 93-100.

[2] Petroski, H. J. Simple Static and DynamicModels for the Cracked Elastic Beam. International Journal of Fracture, 17 (1981), 71-76.

[3] Chondros, T. G., A. D. Dimarogonas. Identication of Cracks inWelded Joints of Complex Structures. Journal of Sound and Vibration, 69 (1980), 531-538.

[4] Rizos, P. F., N. Aspragathos, A. D. Dimarogonas. Identification of Crack Location and Magnitude in a Cantilever Beam from the Vibration Modes. Journal of Sound and Vibration, 138 (1990), 381-388.

[5] Liang, R. Y., F. K. Choy, J. Hu. Detection of Cracks in Beam Structures Using Measurements of Natural Frequencies. Journal of the Franklin Institute, 328 (1991), 505-518.

[6] Dimarogonas, A. D., S. A. Paipetis. Analytical Methods in Rotor Dynamics, Elsevier Applied Science, 1983.

[7] Ostachowicz, W. M., M. Krawkczuk. Analysis of the Effect of Cracks on the Natural Frequencies of a Cantilever Beam. Journal of Sound and Vibration, 150 (1991), 191-201.

[8] Barad, K. H., D. S. Sharma, V. Vyas. Crack Detection in Cantilever Beam by Frequency based Method. Procedia Engineering, 51 (2013), 770-775.

[9] Nandwana, B. P., S. K. Maiti. Modelling of Vibration of Beam in Presence of Inclined Edge or Internal Crack for Its Possible Detection based on Frequency Measurements. Engineering Fracture Mechanics, 58 (1997), 193-205.

Journal of Theoretical and Applied Mechanics

The Journal of Institute of Mechanics of Bulgarian Academy of Sciences

Journal Information

CiteScore 2017: 1.14

SCImago Journal Rank (SJR) 2017: 0.217
Source Normalized Impact per Paper (SNIP) 2017: 0.583

Mathematical Citation Quotient (MCQ) 2017: 0.01

Cited By


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 172 172 21
PDF Downloads 197 197 49