Dynamic Response of a Cracked Beam under a Moving Mass Load
Publication: Journal of Engineering Mechanics
Volume 139, Issue 9
Abstract
This study is devoted to the investigation of the effects of inertial, centripetal, and Coriolis forces on the dynamic response of a simply supported beam with a single crack under moving mass load. As in the case of beams without a crack, it is shown that these forces must be considered in the analysis. The inertial, centripetal, and Coriolis forces are appreciably affected by the mass and the velocity of the moving load. The response of the system is obtained in terms of Duhamel integral. The differential equation that involves a nonlinearity on its right side is solved via an iterative procedure. The results are exemplified for various values of the variables.
Get full access to this article
View all available purchase options and get full access to this article.
References
Anifantis, N., and Dimarogonas, A. D. (1984). “Post buckling behavior of transverse cracked columns.” Comp. Struct., 18(2), 351–356.
Chondros, T. G., and Dimarogonas, A. D. (1980). “Identification of cracks in welded joints of complex structures.” J. Sound Vibrat., 69(4), 531–538.
Chondros, T. G., Dimarogonas, A. D., and Yao, J. (1998). “A continuous cracked beam vibration theory.” J. Sound Vibrat., 215(1), 17–34.
Dimarogonas, A. D. (1996). “Vibration of cracked structures: A state of the art review.” Eng. Fract. Mech., 55(5), 831–837.
Kounadis, A. (1985). “A very efficient approximate method for solving non-linear boundary value problems.” Sci. Papers NTUA, 9(3–4), 1–10.
Liang, R. Y., Choy, F. K., and Hu, I. (1990). “Detection of cracks in beam structures using measurements of natural frequencies.” J. Franklin Inst., 328(4), 381–388.
Lin, H. P. (2004). “Direct and inverse methods on free vibration analysis of simply supported beams with a crack.” Eng. Struct., 26(4), 427–436.
Lin, H. P., and Chang, S. C. (2006). “Forced responses of cracked cantilever beams subjected to a concentrated moving load.” Int. J. Mech. Sci., 48(12), 1456–1463.
Lin, H. P., Chang, S. C., and Wu, J. D. (2002). “Beam vibrations with an arbitrary number of cracks.” J. Sound Vibrat., 258(5), 987–999.
Mahmoud, M. A. (2001). “Stress intensity factors for single and double edge cracks in a simple beam subject to a moving load.” Int. J. Fract., 111(2), 151–161.
Mahmoud, M. A., and Abou Zaid, M. A. (2002). “Dynamic response of a beam with a crack subject to a moving mass.” J. Sound Vibrat., 256(4), 591–603.
Michaltsos, G. T., and Kounadis, A. N. (2001). “The effect of centripetal and Coriolis forces on the dynamic response of light bridges under moving loads.” J. Vibration Control, 7(3), 315–326.
Ostachowicz, W. M., and Krawczuk, M. (1991). “Analysis of the effect of the cracks on the natural frequencies of a cantilever beam.” J. Sound Vibrat., 150(2), 191–201.
Panteliou, S. D., Chondros, T. G., and Argyrakis, V. C. (2001). “Damping factor as an indicator of crack severity.” J. Sound Vibrat., 241(2), 235–245.
Parhi, D. R., and Behera, A. K. (1997). “Dynamic deflection of a cracked shaft subjected to moving mass.” Trans. CSME, 21(3), 295–316.
Rizos, P. F., and Aspragathos, N. (1990). “Identification of crack location and magnitude in a cantilever beam from the vibration modes.” J. Sound Vibrat., 138(3), 381–388.
Shifrin, E. I., and Ruotolo, R. (1999). “Natural frequencies of a beam with an arbitrary number of cracks.” J. Sound Vibrat., 222(3), 409–423.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Oct 9, 2009
Accepted: Oct 10, 2012
Published online: Oct 12, 2012
Published in print: Sep 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.