Harmonic analysis of the vibrations of a cantilevered beam with a closing crack

Computers and Structures

Volumn 61, Issue 6, 1996, Pages 1057-1074

  Ruotolo, R ^a   Surace, C ^a   Crespo, P ^a   Storer, D ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; COMPUTER SIMULATION; CRACKS; DEFECTS; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; FUNCTIONS; HARMONIC ANALYSIS; LOADS (FORCES); TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

CRACK CLOSURE; DAMAGE; FINITE ELEMENT MODEL; FREQUENCY RESPONSE FUNCTION; HARMONIC BALANCE METHOD; HARMONIC FORCING;

DYNAMIC RESPONSE;

EID: 0030379362     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(96)00184-8     Document Type: Article

References (19)

1. P. Gudmundson, The dynamic behaviour of slender structures with cross-sectional cracks. J. Mech. Phys. Solids 31, 329-345 (1983).
2. B. Zastrau, Vibrations of cracked structures. Arch. Mech. 37(6), 731-743 (1985).
3. G. L. Qian, S. N. Gu and J. S. Jiang, The dynamic behaviour and crack detection of a beam with a crack. J. Sound Vibr. 138(2), 233-243 (1990).
4. A. Ibrahim, F. Ismail and H. R. Martin, Modeling of dynamics of continuous beam including nonlinear fatigue crack. Int. J. expl Modal Anal. 2(2), 76-82 (1987).
5. F. Ismail, A. Ibrahim and H. R. Martin, Identification of fatigue cracks from vibration testing. J. Sound Vibr. 140(2), 305-317 (1990).
6. K. R. Collins, P. H. Plaut and P. H. Wauer, Free and forced longitudinal vibrations of a cantilevered bar with a crack. J. Vib. Acoust. 114, 171-177 (1992).
7. M. I. Friswell and J. E. T. Penny, A simple nonlinear modal of a cracked beam. In: 10th Int. Modal Analysis Conf., San Diego, Calif., pp. 516-521 (1992).
8. M.-H. H. Shen and Y. C. Chu, Vibrations of beams with a fatigue crack. Comput. Struct. 45(1), 79-93 (1992).
9. Y. C. Chu and M.-H. H. Shen, Analysis of forced bilinear oscillators and the application of cracked beam dynamics. AIAA J. 30(10), 2512-2519 (1992).
10. W. Ostachowicz and M. Krawczuk, Vibration analysis of a cracked beam. Comput. Struct. 36, 245-250 (1990).
11. M. Krawczuk and W. Ostachowicz, Forced vibrations of a cantilever Timoshenko beam with a closing crack. ISMA 19, 1067-1078 (1994).
12. S. J. Gifford and G. R. Tomlinson, Recent advances in the application of functional series to non-linear structures. J. Sound Vibr. 135, 289-317 (1989).
13. K. J. Bathe, Finite Element Procedure in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ (1982).
14. G. Gounaris and A. D. Dimarogonas, A finite element of a cracked prismatic beam for a structural analysis. Comput. Struct. 28(3), 309-313 (1988).
15. K. J. Bathe and S. Gracewski, On nonlinear dynamic analysis using substructuring and mode superposition. Comput. Struct. 13, 699-707 (1981).
16. M. Schetzen, The Volterra and Wiener Theories of Non-Linear Systems. Wiley, New York (1980).
17. D. M. Storer, Dynamic analysis of non-linear structures using higher order frequency response functions. Ph.D. thesis, University of Manchester (1991).
18. M. Krawczuk, Coupled longitudinal and bending forced vibration of Timoshenko cantilever beam with a closing crack. J. theoret. appl. Mech. 2(32), 463-482 (1994).
19. D. M. Storer and G. R. Tomlinson, Recent developments in the measurement and interpretation of higher order transfer functions from non-linear structures. Mech. Systems Signal Process. 7(2), 173-189 (1993).