Finite element modeling of a vibrating beam with a breathing crack: Observations on crack detection

Structural Health Monitoring

Volumn 10, Issue 2, 2011, Pages 131-145

  Bouboulas, A S ^a   Anifantis, N K ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

breathing crack; crack detection; finite element method; full frictional contact; nonlinear dynamic analysis

Indexed keywords

BREATHING CRACK; CRACK ANGLES; CRACK SURFACES; DYNAMIC LOADINGS; EDGE CRACKS; FINITE ELEMENT; FINITE ELEMENT MODELING; FINITE ELEMENT MODELS; FOURIER; FRICTIONAL CONTACT; FRICTIONAL CONTACT PROBLEMS; ITERATIVE PROCEDURES; NON-LINEAR DYNAMIC ANALYSIS; NONLINEAR DYNAMIC EQUATIONS; PARAMETRIC STUDY; VIBRATING BEAM; VIBRATIONAL BEHAVIOR;

BEHAVIORAL RESEARCH; CRACKS; DYNAMIC ANALYSIS; DYNAMIC LOADS; FINITE ELEMENT METHOD; FRICTION; NONLINEAR EQUATIONS; WAVELET TRANSFORMS;

CRACK DETECTION;

EID: 79952913658     PISSN: 14759217     EISSN: 17413168     Source Type: Journal    
DOI: 10.1177/1475921710373286     Document Type: Article

References (30)

1. Doebling SW, Farrar CR, Prime MB and Shevitz DW A summary review of vibration based damage identification methods. Shock Vib Dig 1998; 30(2): 91-105.
2. Dimarogonas AD and Papadopoulos CA Vibration of cracked shafts in bending. J Sound Vib 1983; 91(4): 583-593.
3. Anifantis N. and Dimarogonas A. Stability of columns with a single crack subjected to follower and vertical loads. Int J Solid Struct 1983; 19(4): 281-291.
4. Yuen MMF. A numerical study of the eigenparameters of a damaged cantilever. J Sound Vib 1985; 103(3): 301-310.
5. Bachschmid N., Diana G. and Pizzigoni B. The influence of unbalance on cracked rotors. In: Vibrations in Rotating Machinery, London: I Mech E Conference Publications (Institution of Mechanical Engineers), 1984, pp.193-198, ISBN: 0852985428.
6. Bouboulas AS and Anifantis NK Formulation of cracked beam element for analysis of fractured skeletal structures. Eng Struct 2008; 30(4): 894-901.
7. Gudmunson P. The dynamic behavior of slender structures with cross-sectional cracks. J Mech Phys Solid 1983; 31(4): 329-345.
8. Shen MHH and Chu YC Vibrations of beams with a fatigue crack. Comp Struct 1992; 45(1): 79-93.
9. Cacciola P. and Muscolino G. Dynamic response of a rectangular beam with a known non-propagating crack of certain or uncertain depth. Comp Struct 2002; 80(27-30): 2387-2396.
10. Sholeh K., Vafai A. and Kaveh A. Online detection of the breathing crack using an adaptive tracking technique. Acta Mech 2007; 188(3-4): 139-154.
11. Clark R., Dover WD and Bond LJ The effect of crack closure on the reliability of NDT predictions of crack size. NDT Int 1987; 20(5): 269-275.
12. Abraham ONL and Brandon JA The modelling of the opening and closure of a crack. J Vib Acoust 1995; 117(3A): 370-377.
13. Cheng SM, Wu XJ, Wallace W. and Swamidas ASJ. Vibrational response of a beam with a breathing crack. J Sound Vib 1999; 225(1): 201-208.
14. Douka E. and Hadjileontiadis LJ Time-frequency analysis of the free vibration response of a beam with a breathing crack. NDT&E Int 2005; 38(1): 3-10.
15. Kisa M. and Brandon J. The effects of closure of cracks on the dynamics of a cracked cantilever beam. J Sound Vib 2000; 238(1): 1-18.
16. Andrieux S. and Varé C. A 3D cracked beam model with unilateral contact. Application to rotors. Eur J Mech A 2002; 21(5): 793-810.
17. Nandi A. and Neogy S. Modelling of a beam with a breathing edge crack and some observations for crack detection. J Vib Cont 2002; 8(5): 673-693.
18. Andreaus U., Casini P. and Vestroni F. Nonlinear dynamics of a cracked cantilever beam under harmonic excitation. Int J Nonlinear Mech 2007; 42(3): 566-575.
19. Bachschmid N., Tanzi E. and Audebert S. The effect of helicoidal cracks on the behavior of rotating shafts. Eng Fract Mech 2008; 75(3-4): 475-488.
20. Bathe KJ Finite element procedures. Upper Saddle River, NJ: Prentice-Hall, 1996.
21. Brigham EO The fast Fourier and applications. Englewood Cliffs, NJ: Prentice Hall, 1988.
22. Rao RM and Bopardikar AS Wavelet transforms - introduction to theory and applications. Reading, MA: Addison Wesley Longman, 1998.
23. Staszewski WJ Structural and mechanical damage detection using wavelets. Shock Vib Dig 1998; 30(6): 457-472.
24. Ovanesova AV and Suárez LE Applications of wavelet transforms to damage detection in frame structures. Eng Struct 2004; 26(1): 39-49.
25. Dimarogonas AD Vibration of cracked structures: A state of the art review. Eng Fract Mech 1996; 55(1): 831-857.
26. White RG Evaluation of the dynamic characteristics of structures by transient testing. J Sound Vib 1971; 15(2): 147-161.
27. Kijewski T. and Kareem A. On the presence of end effects and their melioration in wavelet-based analysis. J Sound Vib 2002; 256(5): 980-988.
28. Meirovitch L. Analytical methods in vibrations. London: The MacMillan Company, Collier MacMillan Limited, 1967.
29. Qian GL, Gu SN and Jiang JS The dynamic behaviour and crack detection of a beam with a crack. J Sound Vib 1990; 138(2): 233-243.
30. Nandwana BP and Maiti SK Modelling of vibration of beam in presence of inclined edge or internal crack for its possible detection based on frequency measurements. Eng Fract Mech 1997; 58(3): 193-205.