Vibration and stability of axially loaded cracked beams

다국어 초록 (Multilingual Abstract)

Structural defects such as cracks are the source of local flexibilities and cause deficiencies in structural resistance. In the engineering constructions, structural elements sometimes are subjected to axial loading. Therefore, besides crack ratios and locations, influence of applied load on the stability and dynamical characteristics should also be explored. This study offers a numerical technique for the vibration and stability analysis of axially loaded cracked beams. The model merges finite element and component mode synthesis methods. Initially, stability analysis is completed and then dynamical characteristics of beams are found. Very good conformities between outcomes of the current study and those in literature, give the confidence that proposed method is reliable and effective.

참고문헌 (Reference)

1 Aydin, K., "Vibratory characteristics of axially loaded Timoshenko beams with arbitrary number of cracks" 129 : 341-354, 2007

2 Aydin, K., "Vibratory characteristics of Euler-Bernoulli beams with an arbitrary number of cracks subjected to axial load" 14 : 485-510, 2008

3 Binici, B., "Vibration of beams with multiple open cracks subjected to axial force" 287 : 277-295, 2005

4 Zheng, D.Y., "Vibration and stability of cracked hollow-sectional beams" 267 : 933-954, 2003

5 Takahashi, I., "Vibration and stability of a cracked shaft simultaneously subjected to a follower force with an axial force" 35 : 3071-3080, 1998

6 Hsu, M. H., "Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method" 194 : 1-17, 2005

7 Cheng, Y., "Vibration analysis of a cracked rotating tapered beam using the p-version finite element method" 47 : 825-834, 2011

8 Krawczuk, M., "Transverse natural vibrations of a cracked beam loaded with a constant axial force" 115 : 524-528, 1993

9 Gudmundson, P., "The dynamic behaviour of slender structures with cross-sectional cracks" 31 : 329-345, 1983

10 Qian, G.L., "The dynamic behaviour and crack detection of a beam with a crack" 138 : 233-243, 1990

11 Aristizabal-Ochoa, J. D., "Static and dynamic stability of uniform shear beam-columns under generalized boundary conditions" 307 : 69-88, 2007

12 Arbodela-Monsalve, L. G., "Stability and natural frequencies of a weakened Timoshenko beam-column with generalized end conditions under constant axial load" 307 : 89-112, 2007

13 Shifrin, E.I., "Natural frequencies of a beam with an arbitrary number of cracks" 223 : 409-423, 1999

14 Loya, J. A., "Natural frequencies for bending vibrations of Timoshenko cracked beams" 290 : 640-653, 2006

15 Dilena, M., "Identification of crack location in vibrating beams from changes in node positions" 255 : 915-930, 2002

16 Rizos, P. F., "Identification of crack location and magnitude in a cantilever beam from the vibration modes" 138 : 381-388, 1990

17 Morassi, A., "Identification of a crack in a rod based on changes in a pair of natural frequencies" 242 : 577-596, 2001

18 Ruotolo, R., "Harmonic analysis of the vibrations of a cantilevered beam with a closing crack" 61 : 1057-1074, 1996

19 Kukla, S., "Free vibrations and stability of stepped columns with cracks" 319 : 1301-1311, 2009

20 Kisa, M., "Free vibration analysis of uniform and stepped cracked beams with circular cross sections" 45 : 364-380, 2007

21 Kisa, M., "Free vibration analysis of multiple open-edge cracked beams by component mode synthesis" 10 : 81-92, 2000

22 Kisa, M., "Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods" 67 : 215-223, 1998

23 Viola, E., "Free vibration analysis of axially loaded cracked Timoshenko beam structures using the dynamic stiffness method" 304 : 124-153, 2007

24 Zheng, D.Y., "Free vibration analysis of a cracked beam by finite element method" 273 : 457-475, 2004

25 Kisa, M., "Free vibration analysis of a cantilever composite beam with multiple cracks" 64 : 1391-1402, 2004

26 Yang, J., "Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load" 312 : 166-181, 2008

27 Irwin, G., "Fracture Mechanics, Structural Mechanics" Pergamon Press 1960

28 Hurty, W. C., "Dynamic analysis of structures using substructure modes" 3 : 678-685, 1965

29 Patil, D.P., "Detection of multiple cracks using frequency measurements" 70 : 553-572, 2003

30 Viola, E., "Detection of crack location using cracked beam element method for structural analysis" 36 : 23-35, 2001

31 Darpe, A. K., "Coupled vibrations of a rotor with slant crack" 305 : 172-193, 2007

32 Chasalevris, A.C., "Coupled horizontal and vertical bending vibrations of a stationary shaft with two cracks" 309 : 507-528, 2008

33 Patel, T.H., "Coupled bending-torsional vibration analysis of rotor with rub and crack" 326 : 740-752, 2009

34 Brandon, J.A., "Counter-intuitive quasi-periodic motion in the autonomous vibration of cracked Timoshenko beams" 185 : 415-430, 1995

35 Umesh Kumar Pandey, "Bilinear elastodynamical models of cracked concrete beams" 국제구조공학회 39 (39): 465-498, 2011

36 Krawczuk, M., "Application of spectral beam finite element with a crack and iterative search technique for damage detection" 38 : 537-548, 2002

37 Mei, C., "Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams" 291 : 1041-1060, 2006

38 Dimarogonas, A.D., "Analytical Methods in Rotor Dynamics" Applied Science Publishers 1983

39 Yuen, M. M. F., "A numerical study of the eigenparameters of a damaged cantilever" 103 : 301-310, 1985

40 Gounaris, G., "A finite element of a cracked prismatic beam for structural analysis" 28 : 309-313, 1988

41 Wang, Q., "A comprehensive stability analysis of a cracked beam subjected to follower compression" 41 : 4875-4888, 2004