TECHNICAL PAPERS
Jan 1, 2000

Experimental and Numerical Study of Damaged Cantilever

Publication: Journal of Engineering Mechanics
Volume 126, Issue 1

Abstract

The introduction of a crack in a steel structure will cause a local change in the stiffness and damping capacity. The change in stiffness will lead to a change of some of the natural frequencies of the structure and a discontinuity in the associated mode shapes. This paper contains a presentation of the results from experimental and numerical tests with hollow section cantilevers containing fatigue cracks. Two different finite-element (FE) models have been used to estimate the modal parameters numerically. The first FE model consists of beam elements. The second FE model consists of traditional rectangular shell elements and one rectangular shell element with a transverse, internal, open crack. The analytical results from the numerical models are compared with data obtained from experimental tests. The numerical models give good agreements with the experimental data. The beam model takes into account only the first mode of the crack evaluation. In the shell model all three modes of the crack growth are taken into account. Nevertheless, the results obtained for both models are satisfactory because the beam is subjected to bending. It can be concluded that it is sufficient to use crack models for calculating natural frequencies in bending, taking into account the first mode of the crack extension only.

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References

1.
Cawley, P., and Ray, R. (1988). “A comparison of the natural frequency changes produced by cracks and slots.” J. of Vibration, Acoustics, Stress and Reliability in Des., 110, 366–370.
2.
Doeebling, S. W., Farrar, C. R., Primee, M. B., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.” Rep. LA-13070-MS, UC-900, Los Alamos National Laboratory, N.M.
3.
Gounaris, G., Anifantis, N., and Dimarogonas, A. D. (1991). “Dynamic of cracked hollow beams.” Engrg. Fracture Mech., 39, 931–949.
4.
Ju, F. D., and Mimovich, M. E. (1988). “Experimental diagnosis of fracture damage in structures by the modal frequency method.” J. of Vibration, Acoustics, Stress and Reliability in Des., 110, 456–463.
5.
Krawczuk, M. (1994a). “Rectangular shell finite element with an open crack.” Finite Elements in Anal. and Des., 15, 233–245.
6.
Krawczuk, M. (1994b). “Coupled longitudinal and bending forced vibration of Timoshenko beam with a closing crack.” J. of Theoretical and Appl. Mech., 32(2), 463–482.
7.
MATLAB. (1990). Optimization toolbox, for use with MATLAB. The Math Works, Inc.
8.
Rytter, A. ( 1993). “Vibrational based inspection of civil engineering structures,” PhD thesis, Dept. of Build. Technol. and Struct. Engrg., Aalborg University, Denmark
9.
Rytter, A., Brincker, R., and Kirkegaard, P. H. (1992). “An experimental study of the modal parameters of a damaged cantilever.” Fracture & Dynamics Paper No. 37, Dept. of Build. Technol. and Struct. Engrg., Aalborg University, Denmark.
10.
Tada, H., Paris, P. C., and Irwin, G. R. (1973). The stress analysis of cracks handbook. Del Research Cooperation.
11.
Wendtland, D. ( 1972). “Änderungen der Biegenfrequenzen einer idealisierten Schaufel durch Risse,” PhD thesis, University of Karlsruhe, Germany.
12.
Zienkiewicz, O. C. (1992). The finite element method. 4th Ed., McGraw-Hill, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 126Issue 1January 2000
Pages: 60 - 65

History

Received: Oct 9, 1995
Published online: Jan 1, 2000
Published in print: Jan 2000

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Authors

Affiliations

Dr., RAMBOLL, Kjærulfsgade 2, DK-9400 Norresundby, Denmark.
Dr., Inst. of Fluid Flow Machinery, Polish Acad. of Sci., ul. Gen. J. Fiszera 14, 80-952 Gdansk, Poland.
Assoc. Prof., Dept. of Build. Technol. and Struct. Engrg., Aalborg Univ., Sohngaardsholmsvej 57, DK-9000 Aalborg, Denmark.

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