Effects of closure of cracks on the dynamics of a cracked cantilever beam

Journal of Sound and Vibration

Volumn 238, Issue 1, 2000, Pages 1-18

  Kisa, M ^a   Brandon, J ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER BEAMS; CRACK PROPAGATION; EIGENVALUES AND EIGENFUNCTIONS; FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE MECHANICS; FREQUENCY DOMAIN ANALYSIS; LINEAR EQUATIONS;

CRACK CLOSURE;

VIBRATIONS (MECHANICAL);

EID: 0034322769     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.3099     Document Type: Article

References (28)

1. ADAMS R. D., CAWLEY P. Vibration techniques in nondestructive testing. The Shock and Vibration Bulletin. 1985;Naval Research Laboratory, Washington.
2. STUBBS N. A general theory of non-destuctive damage detection in structures. 2nd International Symposium on Structural Control, University of Waterloo, Waterloo, Ontario, Canada, 15-17 July 1985. 2:1985;694-713.
3. JU F. D., MIMOVICH M. E. Experimental diagnosis of fracture damage in structures by the modal frequency method. ASME Journal of Vibration, Acoustics, Stress and Reliability in Design. 110:1988;456-463.
4. PANDEY A. K., BISWAS M., SAMMAN M. M. Damage detection from changes in curvature mode shapes. Journal of Sound and Vibration. 145:1991;321-332.
5. AKGUN M. A., JU F. D. Damage diagnosis in frame structures with a dynamic response method. Journal of Mechanical Structures and Machinery. 18:1990;175-196.
6. CARLSON R. L. An experimental study of the parametric excitation of a tensioned sheet with a cracklike opening. Experimental Mechanics. 14:1974;452-458.
7. GUDMUNDSON P. The dynamic behaviour of slender structures with cross-sectional cracks. Journal of Mechanics Physics Solids. 31:1983;329-345.
8. IBRAHIM A., ISMAIL F., MARTIN H. R. Modelling of the dynamics of continuous beam including nonlinear fatigue crack. Journal of Analytical, Experimental Modal Analysis. 2:1987;76-82.
9. CHEN L. W., CHEN C. L. Vibration and stability of cracked thick rotating blades. Computers and Structures. 28:1988;67-74.
10. ACTIS R., DIMAROGONAS A. D. Non-linear effects due to closing cracks in vibrating beams. 12th ASME Conference on Mechanical Engineering, Vibration and Noise, Montreal, Canada, September 1989. 18:1989;99-104.
11. COLLINS K. R., PLAUT P. H., WAUER P. H. Free and forced longitudinal vibrations of a cantilevered bar with a crack. ASME Journal of Vibration and Acoustics. 114:1992;171-177.
12. FRISWELL M. I., PENNY J. E. T. A simple nonlinear model of a cracked beam. 10th International Modal Analysis Conference, San Diego, CA. 1992;516-521.
13. GASH R., PERSOM M., WEITZ B. Dynamic behaviour of the Laval rotor with a cracked hollow shaft. Proceedings of the Conference Vibrations in Rotating Machinery, Edingburgh, England, C314/88. 1988.
14. PAPADOPOULOS C. A., DIMAROGONAS A. D. Stability of cracked rotors in the coupled vibration mode. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design. 110:1988;356-359.
15. ZASTRAU B. Vibrations of cracked structures. Archiv of Mechanics. 37:1985;731-743.
16. QIAN G. L., JIANG J. S. The dynamic behaviour and crack detection of a beam with a crack. Journal of Sound and Vibration. 138:1990;233-243.
17. OSTACHOWICZ W., KRAWCZUK M. Vibration analysis of a cracked beam. Computers and Structures. 36:1990;245-250.
18. KRAWCZUK M., OSTACHOWICZ W. Forced vibrations of a cantilever Timoshenko beam with a closing crack. Proceedings of the 19th International Seminar on Modal Analysis, K. U. Leuven, Belgium. 3:1994;1067-1078.
19. ABRAHAM O. N. L., BRANDON J. A. The modelling of the opening and closing of a crack. Transactions of the American Society of Mechanical Engineers: Journal of Vibration and Acoustics. 117:1995;370-377.
20. BRANDON J. A., ABRAHAM O. N. L. Counter-intuitive quasi-periodic motion in the autonomous vibration of cracked Timoshenko beams. Journal of Sound and Vibration. 185:1995;415-430.
21. PETYT M. Introduction to Finite Element Vibration Analysis. 1990;Cambridge University Press.
22. IRWIN G. Goodier J. N., Hoff N. J. Fracture Mechanics, Structural Mechanics. 1960;Pergamon Press, New York.
23. TADA H., PARIS P. C., IRWIN G. R. The Stress Analysis of Cracks Handbook. 1985;Paris production incorporated and Del Research Corporation, St. Louis.
24. DIMAROGONAS, PAIPETIS S. A. Analytical Methods in Rotor Dynamics. 1983;Applied Science Publishers, Barking.
25. PAPADOPOULOS C. A., DIMAROGONAS A. D. Coupled longitudinal and bending vibrations of a cracked shaft. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design. 110:1988;1-8.
26. WENDTLAND D. Anderungen der Biegeeigenfrequenzen einer idealisierten schaufel durc risse. Ph.D. thesis, Universitat Karlsruhe. 1972.
27. ABRAHAM O. N. L. Dynamic modelling of cracked Timoshenko beams. Ph.D. thesis, University of Wales College of Cardiff. 1993.
28. SHEN M. H. H., PIERRE C. Natural modes of Bernoulli-Euler beams with symmetric cracks. Journal of Sound and Vibration. 138:1990;115-134.