A continuous cracked beam vibration theory

Journal of Sound and Vibration

Volumn 215, Issue 1, 1998, Pages 17-34

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

^a UNIVERSITY OF PATRAS   (Greece)

^b WASHINGTON UNIVERSITY   (United States)

^c SIEMENS CORPORATE RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM BEAMS AND GIRDERS; BOUNDARY CONDITIONS; CONTINUUM MECHANICS; CRACKS; DIFFERENTIAL EQUATIONS; FATIGUE OF MATERIALS; FRACTURE MECHANICS; STEEL BEAMS AND GIRDERS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

CRACKED BEAM VIBRATION; EULER-BERNOULLI BEAMS; OPEN CRACKS;

BEAMS AND GIRDERS;

EID: 0032490806     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1640     Document Type: Article

References (38)

1. J. M. SCHMERLING and J. C. HAMMON 1966 American Power Conference Chicago, IL. Investigation of the Tennessee Valley Authority Gallation Unit No. 2 turbine rotor burst.
2. A. R. JACK and A. N. PATTERSON 1976 First Mechanical Engineering Conference. The influence of the environment on fatigue cracking in 500 MW LP rotor shafts.
3. H. HAAS 1977 Maschinenschaden 50, 195-204. Grossschäden durch Turbinen-oder Generatorleufer, entstanden im Bereich bis zur Schleuderdrehzahl.
4. J. GRECO, J. R. AGNEW, K. ERHARDT, J. E. BERTILSSON and Z. S. STYS 1978 American Power Conference, Chicago, IL. Cumberland steam plant-cracked IP rotor coupling.
5. J. BOHNSTEDT and L. LEOPOLD 1985 Maschinenschaden 58, 81-88. Schaden und Reparaturen an Dampfturbinen.
6. P. G. KIRMSHER 1944 Proceedings of the American Society of Testing and Materials 44, 897-904. The effect of discontinuities on the natural frequency of beams.
7. W. J. THOMSON 1943 Journal of Applied Mechanics 17, 203-207. Vibration of slender bars with discontinuities in stiffness.
8. G. R. IRWIN 1957 Journal of Applied Mechanics 24, 361-364. Analysis of stresses and strains near the end of a crack traversing a plate.
9. G. R. IRWIN 1958 in Handbuch der Physik, Volume 6, 551-590. Heidelberg: Springer-Verlag, Fracture.
10. H. TADA 1973, 1985 The Stress Analysis of Cracks Handbook. Hellertown, Pennsylvania. Del Research Corporation.
11. H. LIEBOWITZ, H. VANDERVELDT and D. W. HARRIS 1967 International Journal of Solids and Structures 3, 489-500. Carrying capacity of notched column.
12. H. LIEBOWITZ and W. D. CLAUS 1968 Engineering Fracture Mechanics 1, 379-383. Failure of notched columns.
13. H. OKAMURA, H. W. LIU, C.-S. CHU and H. LIEBOWITZ 1969 Engineering Fracture Mechanics 1, 547-564. A cracked column under compression.
14. J. R. RICE and N. LEVY 1972 Journal of Applied Mechanics 39, 185-194. The part-through surface crack in an elastic plate.
15. A. D. DIMAROGONAS 1970 General Electric Co, Internal Report. New York: Schenectady. Dynamic response of cracked rotors.
16. A. D. DIMAROGONAS 1976 Vibration Engineering St. Paul: West Publishers.
17. T. G. CHONDROS 1977 M.Sc. Thesis, University of Patras, Greece. Dynamic response of cracked beams.
18. T. G. CHONDROS and A. D. DIMAROGONAS 1979 American Society of Mechanical Engineers Design Engineering Technical Conference, St. Louis, Paper 79-DET-106. Identification of cracks in circular plates welded at the contour.
19. T. G. CHONDROS and A. D. DIMAROGONAS 1980 Journal of Sound and Vibration 69, 531-538. Identification of cracks in welded joints of complex structures.
20. A. D. DIMAROGONAS and G. MASSOUROS 1980 Engineering Fracture Mechanics 15, 439-444. Torsional vibration of a shaft with a circumferential crack.
21. R. D. ADAMS, P. CAWLEY, C. J. PYE and B. J. STONE 1978 Journal of Mechanical Engineering Science 20(2), 93-100. A vibration technique for non-destructively assessing the integrity of structures.
22. P. CAWLEY and R. D. ADAMS 1979 Journal of Strain Analysis 14, 49-57. The location of defects in structures from measurements of natural frequencies.
23. A. D. DIMAROGONAS and S. A. PAIPETIS 1983 Analytical Methods in Rotor Dynamics. London: Elsevier Applied Science.
24. N. ANIFANTIS and A. D. DIMAROGONAS 1983 International Journal of Solids and Structures 19, 281-291. Stability of columns with a single crack subjected to follower and vertical loads.
25. P. GUDMUNDSON 1984 Proceedings 2nd International Modal Analysis Conference, Volume 2, 690-697. Orlando, Union College, New York: Changes in modal parameters resulting from small cracks.
26. C. A. PAPADOPOULOS and A. D. DIMAROGONAS 1987 Ingenieur Archiv 57, 257-266. Coupling of bending and torsional vibrations of a cracked Timoshenko shaft.
27. B. S. HAISTY and W. T. SPRINGER 1985 Proceedings of the Society for Experimental Mechanics Spring Conference, Las Vegas, 389-395. The longitudinal vibration characteristics of a uniform beam containing two symmetric discontinuities.
28. T. G. CHONDROS and A. D. DIMAROGONAS 1989 Journal of Vibration, Acoustics, Stress and Reliability in Design 111, 251-256. Influence of cracks on the dynamic characteristics of structures.
29. A. D. S. BARR 1966 Transactions of ASME Journal of Applied Mechanics 33, 465. An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems.
30. S. CHRISTIDES and A. D. S. BARR 1984 International Journal Mechanics Science 26, 639-648. One-dimensional theory of cracked Bernoulli-Euler beams.
31. M. H. H. SHEN and C. PIERRE 1990 Journal of Sound and Vibration 138, 115-134. Natural modes of Bernoulli-Euler beams with symmetric cracks.
32. M. H. H. SHEN and C. PIERRE 1990 Journal of Sound and Vibration 170, 237-259. Free vibrations of beams with a single-edge crack.
33. A. D. DIMAROGONAS 1996 Engineering Fracture Mechanics 5, 831-857. Vibration of cracked structures - a state of the art review.
34. H. C. HU 1955 Scientia Sinica 4, 33-55. On some variational principles in the theory of elasticity and plasticity.
35. K. WASHIZU 1955 Technical Report 25-18, Contract No. N5-07833. Cambridge, MA: Massachussetts Institute of Technology. On the variational principles of elasticity and plasticity.
36. I. S. SOKOLNIKOFF 1956 Mathematical Theory of Elasticity. New York: McGraw-Hill; second edition.
37. R. CUNTZE and M. HAJEK 1985 Ingenieur-Archiv 55, 237-241. Eigenfrequenzen eines angerissenen. Kragträgers Springer-Verlag.
38. J. WAUER 1990 International Journal Solids and Structures 26, 901-914. Modeling and formulation of equation of motion for cracked rotating shafts.