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Influence of Moving Mass on Dynamic Behavior of Simply Supported Timoshenko Beam with Crack  

Yoon Han-Ik (Division of Mechanical Engineering, Dong-eui University)
Choi Chang-Soo (School of Automobile & Machine, Busan Info-Tec College)
Son In-Soo (The center for Industrial Technology, Dong-eui University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.7, no.1, 2006 , pp. 24-29 More about this Journal
Abstract
In this paper, the effect of open crack on the dynamic behavior of simply supported Timoshenko beam with a moving mass was studied. The influences of the depth and the position of the crack on the beam were studied on the dynamic behavior of the simply supported beam system by numerical methods. The equation of motion is derived by using Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces on the crack section and is derived by applying fundamental fracture mechanics theory. As the depth of the crack increases, the mid-span deflection of the Timoshenko beam with a moving mass is increased.
Keywords
Dynamic behavior; Flexibility matrix; Moving mass; Open crack; Timoshenko beam;
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  • Reference
1 Lee, H. P., 'The Dynamic Response of a Timoshenko Beam Subjected to aMoving Mass,' Journal of Sound and Vibration, Vol. 198, No. 2, pp. 249-256, 1996   DOI   ScienceOn
2 Bamnios, Y., Douka, E. and Trochidis, A., 'Crack Identification in Beam Structures UsingMechanical Impedance,' Journal of Sound and Vibration, Vol. 256, No. 2, pp. 284-297, 2002
3 Hong, S. W., Kim, M. D. and Lee, J. W., 'Dynamic Modeling and Analysis of Beam Structures with Cracks,' Journal of the Korean Society of Precision Engineering, Vol. 20, No. 6, pp. 197-204, 2003
4 Kim, K. H. andKim, J. H., 'Effect of a Crack on theDynamic Stability of a Free-free Beam Subjected to a Follower Force,' Journal of Sound and Vibration, Vol. 233, No. 1, pp. 119-135, 2000   DOI   ScienceOn
5 Mahmoud, M. A. and Abou Zaid, M. A., 'Dynamic Response of a Beam with a Crack Subject to aMoving Mass,' Journal of Sound and Vibration, Vol. 256, No. 4, pp. 591-603, 2002   DOI   ScienceOn
6 Chondros, T. G. and Dimarogonas, A. D., 'Identification of Crack in Welded Joints of Complex Structures,' Journal of Sound and Vibration, Vol. 150, pp. 191-201, 1980   DOI   ScienceOn
7 Tsai, T. C. and Wang, Y. Z., 'The Vibration of a Multi-Crack Rotor,' Int. Journal of Mech. Sci., Vol. 36, pp. 1037-1053, 1997
8 Krawczuk, M., Palacz, M. and Ostachowicz, W., 'The Dynamic Analysis of a Cracked Timoshenko Beam by the Spectral Element Method,' Journal of Sound and Vibration, Vol. 264, pp. 1139-1153, 2003   DOI   ScienceOn
9 Ruotolo, R., Surace, C., P. and Storer, D., 'Harmonic Analysis of the Vibration of a Cantilevered Beamwith a Closing Crack,' Computers & Structures, Vol. 61, No. 6, pp. 1057-1074, 1996   DOI   ScienceOn
10 Kgor, A. K. and Olga, I. L., 'Formulas for Structural Dynamics,' McGraw-Hill, 2001
11 Zheng, D. Y. and Fan, S. C., 'Natural Frequency Changes of a Cracked Timoshenko Beam by Modified Fourier Serics,' Journal of Sound and Vibration, Vol. 246, No. 2, pp. 297-317, 2001   DOI   ScienceOn
12 Viola, E., Federici, L. and Nobile, L., 'Detection of Crack Location Using Cracked Beam Element Method for Structural Analysis,' Theoretical and Applied Fracture Mechanics, Vol. 36, pp. 23-35, 2001   DOI   ScienceOn
13 Yoon,H. I., Lee, Y. W. and Son, I. S., 'Influence of Crack on Dynamic Behavior of Simply Supported Beam with Moving Mass,' Transactions of the KSNVE, Vol. 13, No. 9, pp. 720-729, 2003   DOI
14 Ghondros, T. G., Dimarogonas, A. D. and Yao, J., 'A Continuous Cracked BeamVibration Theory,' Journal of Sound and Vibration, Vol. 215, No. 1, pp. 17-34, 1998   DOI   ScienceOn