Browse > Article

Effects of a Moving Mass on the Dynamic Behavior of Cantilever Beams with Double Cracks  

Son, In-Soo (School of Mechanical Engineering, Dong-eui University)
Cho, Jeong-Rae (Department of Car-Electronics, Korea Polytechnic VI College Dalseong Campus)
Yoon, Han-Ik (School of Mechanical Engineering, Dong-eui University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.9, no.3, 2008 , pp. 33-39 More about this Journal
Abstract
The effects of a double crack and tip masses on the dynamic behavior of cantilever beams with a moving mass are studied using numerical methods. The cantilever beams are modeled by applying Euler-Bernoulli beam theory. The cracked sections are represented by a local flexibility matrix connecting three undamaged beam segments. The influences of the crack, moving mass, and tip mass, and the coupling of these factors on the vibration mode and the frequencies of the double-cracked cantilever beams are determined analytically. The methodology provides a basis for analyzing the dynamic behavior of a beam with an arbitrary number of cracks and a moving mass.
Keywords
Dynamic behavior; Cantilever beam; Double-crack; Moving mass; Tip mass;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
연도 인용수 순위
1 Yoon, H. I., Jin, J. T. and Son, I. S., "A Study on Dynamic Behavior of Simply Supported Fluid Flow Pipe with Crack and Moving Mass," Proceedings of the 11th International Congress on Sound and Vibration, pp. 2215-2222, 2004
2 Chondros, T. G. and Dimarogonas, A. D., "Vibration of a Cracked Cantilever Beam," Journal of Vibration and Acoustics, Vol. 120, No. 3, pp. 742-746, 1998   DOI
3 Sekhar, A., "Vibration Characteristics of a Cracked Rotor with Two Open Cracks," Journal of Sound and Vibration, Vol. 223, No. 4, pp. 497-512, 1999   DOI   ScienceOn
4 Ostachowicz, W. and Krawczuk, M., "Analysis of the Effect of Cracks on the Natural Frequencies of a Cantilever Beam," Journal of Sound and Vibration, Vol. 150, No. 2, pp. 191-201, 1991   DOI   ScienceOn
5 Shen, M. H. H. and Pierre, C., "Natural Modes of Bernoulli-Euler Beams with Symmetric Cracks," Journal of Sound and Vibration, Vol. 138, No. 1, pp. 115-134, 1990   DOI   ScienceOn
6 Meirovitch, L., "Principles and Techniques of Vibrations," Prentice Hall, pp.400-430, 1997
7 Inman, D. J., "Engineering Vibration," Prentice-Hall, pp. 329-340, 1994
8 Kisa, M. and Brandon, J., "The Effects of Closure of Cracks on the Dynamics of a Cracked Cantilever Beam," Journal of Sound and Vibration, Vol. 238, Issue 1, pp. 1-18, 2000   DOI   ScienceOn
9 Stanisic, M. M., "On a New Theory of the Dynamic Behavior of the Structures Carrying Moving Masses," Ingenieur-Archiv, Vol. 55, No. 3, pp. 176-185, 1985   DOI   ScienceOn
10 Narkis, Y., "Identification of Crack Location in Vibrating Simply Supported Beams," Journal of Sound and Vibration, Vol. 172, No. 4, pp. 549-558, 1994   DOI   ScienceOn
11 Lin, H. P., "Direct and Inverse Methods on Free Vibration Analysis of Simply Supported Beams with a Crack," Engineering Structures, Vol. 26, No. 4, pp. 427-436, 2004   DOI   ScienceOn
12 Mahmoud, M. A. and Zaid, C. S. A., "Dynamic Response of a Beam with a Crack Subject to a Moving Mass," Journal of Sound and Vibration, Vol. 256, No. 4, pp. 591-603, 2002   DOI   ScienceOn
13 Chondros, T. G., and Dimarogonas, A. D., "Dynamic Sensitivity of Structures to Cracks," Journal of Vibration and Acoustics, Stress, and Reliability in Design, Vol. 111, No. 3, pp. 251-256, 1989   DOI   ScienceOn
14 Liu, D., Gurgenci, H. and Veidt, M., "Crack Detection in Hollow Section Structures Through Coupled Response Measurements," Journal of Sound and Vibration, Vol. 261, No. 1, pp. 17-29, 2003   DOI   ScienceOn
15 Yoon, H. I. and Son, I. S., "Dynamic Behavior of Cracked Simply Supported Pipe Conveying Fluid with Moving Mass," Journal of Sound and Vibration, Vol. 292, No. 3/5, pp. 941-953, 2006   DOI   ScienceOn
16 Yoon, H. I., Choi, C. S. and Son, I. S., "Influence of Moving Mass on Dynamic Behavior of Simply Supported Timoshenko Beam with Crack," International Journal of Precision Engineering and Manufacturing, Vol. 7, No. 1, pp. 24-29, 2006   과학기술학회마을
17 Douka, E., Bamnios, G. and Trochidis, A., "A Method for Determining the Location and Depth of Cracks in Double-Cracked Beams," Applied Acoustics, Vol. 65, No. 10, pp. 997-1008, 2004   DOI   ScienceOn
18 Takahashi, I., "Vibration and Stability of a Cracked Shaft Simultaneously Subjected to a Follower Force with an Axial Force," International Journal of Solids and Structures, Vol. 35, No. 23, pp. 3071-3080, 1998   DOI   ScienceOn
19 Christides, S. and Barr, A. D. S., "One-Dimensional Theory of Cracked Bernoulli-Euler Beams," International Journal of Mechanical Sciences, Vol. 26, No. 11, pp. 639-648, 1984   DOI   ScienceOn
20 Lee, H. P., "The Dynamic Response of a Timoshenko Beam Subjected to a Moving Mass," Journal of Sound and Vibration, Vol. 198, No. 2, pp. 249-256, 1996   DOI   ScienceOn
21 Ruotole, R., Surace, C. and Mares, C., "Theoretical and Experimental Study of the Dynamic Behaviour of a Double-Cracked Beam," Proceedings of the 14th International Model Analysis Conference, pp. 1560-1564, 1996