Longitudinal vibration of a continuous cracked bar

Engineering Fracture Mechanics

Volumn 61, Issue 5-6, 1998, Pages 593-606

  Chondros, T G ^c   Dimarogonas, A D ^a   Yao, J ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b SIEMENS CORPORATE RESEARCH   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRACKS; DIFFERENTIAL EQUATIONS; ELASTIC MODULI; ELASTICITY; FRACTURE MECHANICS; ONE DIMENSIONAL;

CONTINUOUS CRACKED BAR; LONGITUDINAL VIBRATION; ONE DIMENSIONAL CONTINUUM;

VIBRATIONS (MECHANICAL);

VIBRATION;

EID: 0032215870     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(98)00071-X     Document Type: Article

References (21)

1. Dimarogonas A.D. Vibration of cracked structures - a state of the art review. Engineering Fracture Mechanics. 5:1996;831-857.
2. Dimarogonas AD. Vibration engineering. St. Paul: West Publishers, 1976.
3. Chondros T. Dynamic response of cracked beams. MSc thesis. University of Patras, Greece, 1977.
4. Chondros TG, Dimarogonas AD. Identification of cracks in circular plates welded at the contour. New York American Society of Mechanical Engineers Design Engineering Technical Conferences, St. Louis, paper 79-DET-106, 1979.
5. Chondros T.G., Dimarogonas A.D. Identification of cracks in welded joints of complex structures. Journal of Sound and Vibration. 69:1980;531-538.
6. Dimarogonas A.D., Massouros G. Torsional vibration of a shaft with a circumferential crack. Engineering Fracture Mechanics. 15:1980;439-444.
7. Adams RD, Cawley P, Pye CJ, Stone BJ. A vibration technique for non-destructively assessing the integrity of structures. Journal Mechanical Engineering Science, 1978.
8. Cawley P., Adams R.D. The location of defects in structures from measurements of natural frequencies. Journal of Strain Analysis. 14:(2):1979.
9. Dimarogonas AD, Paipetis SA. Analytical methods in rotor dynamics. London: Applied Science, 1983.
10. Papadopoulos C.A., Dimarogonas A.D. Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. Journal of Sound and Vibration. 117:1987;81-93.
11. Dentsoras A., Dimarogonas A.D. Resonance controlled fatigue crack propagation in a beam under longitudinal vibrations. International Journal of Fracture. 23:1983;15-22.
12. Haisty BS, Springer WT. 1985. The longitudinal vibration characteristics of a uniform beam containing two symmetric discontinuities. Proceedings of the Society for Experimental Mechanics Spring Conference, Las Vegas. 1985 pp. 389-95.
13. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics. 24:1957;361-364.
14. Irwin GR. Fracture. In: Handbuch der Physik, 6. Springer-Verlag, Heidelberg. 1958, pp. 551-90.
15. Tada H. The Stress Analysis of Cracks Handbook. Del Research Corporation, Hellertown, Pennsylvania, 1985. p. 1973.
16. Barr A.D.S. An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems. Trans ASME Journal of Applied Mechanics. 33:(2):1966;465.
17. Christides S., Barr A.D.S. One-dimensional theory of cracked Bernoulli-Euler beams. International Journal of Mechanical Science. 26:(11/12):1984;639-648.
18. Hu H.C. On some variational principles in the theory of elasticity and plasticity. Scientia Sinica. 4:1955;33-55.
19. Washizu K. On the variational principles of elasticity and plasticity. Contract No. N5-07833, Technical Report 25-18. Massachusetts Institute of Technology, Cambridge, Mass, 1955.
20. Christides S., Barr A.D.S. Torsional vibration of cracked beams of non-circular cross-section. International Journal Mechanical Science. 28:(7):1986;473-490.
21. Dimarogonas AD. Vibration for Engineers. Prentice-Hall International, 1995.