Structural Engineering and Mechanics

  • 제45권1호
  • /
  • Pages.33-52
  • /
  • 2013
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Vibration analysis of cracked frame structures

  • Ibrahim, Ahmed M. (Mechanical Engineering Department, Dokuz Eylul University Buca) ;
  • Ozturk, Hasan (Mechanical Engineering Department, Dokuz Eylul University Buca) ;
  • Sabuncu, Mustafa (The Graduate School of Natural and Applied Sciences, Dokuz Eylul University)
  • 투고 : 2012.03.19
  • 심사 : 2012.11.30
  • 발행 : 2013.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, the effects of crack depth and crack location on the in-plane free vibration of cracked frame structures have been investigated numerically by using the Finite Element Method. For the rectangular cross-section beam, a crack element is developed by using the principles of fracture mechanics. The effects of crack depth and location on the natural frequency of multi-bay and multi-store frame structures are presented in 3D graphs. The comparison between the present work and the results obtained from ANSYS shows a very good agreement.

키워드

참고문헌

  1. Bayo, E. and Loureiro, A. (2001), "An efficient and direct method for buckling analysis of steel frame structures", J. Constr. Steel. Res., 57, 1321-36. https://doi.org/10.1016/S0143-974X(01)00040-2
  2. Chang, G.S. and Chang, C.H. (1991), "Out-of-plane vibrations of plane frames", J. Sound. Vib., 147(1), 137-54. https://doi.org/10.1016/0022-460X(91)90688-G
  3. Chati, M., Rand, R. and Mukherjee, S. (1997), "Modal analysis of a cracked beam", J. Sound. Vib., 207(2), 240-70.
  4. Chondros, T.G. and Dimarogonas, A.D. (1989), "Dynamic sensitivity of structures to cracks", J. Vib. Acoust. Stress Reliab. Des., 111, 251-56. https://doi.org/10.1115/1.3269849
  5. Chondros, T.G., Dimarogonas, A.D. and Yao, J. (1998), "A continuous cracked beam vibration theory", J. Sound. Vib., 215, 17-34. https://doi.org/10.1006/jsvi.1998.1640
  6. Christides, S. and Barr, A.D.S. (1984), "One-dimensional theory of cracked Bernoulli-Euler beams", Int. J. Mech. Sci., 26(11-12), 639-48. https://doi.org/10.1016/0020-7403(84)90017-1
  7. Filipich, C.P. and Laura, P.A.A. (1987), "In-plane vibrations of portal frames with end supports elastically restrained against rotation and translation", J. Sound. Vib., 117(3), 467-73. https://doi.org/10.1016/S0022-460X(87)80066-4
  8. Filipich, C.P., Ercoli, L., Laura, P.A.A., Rossi, R.E. and Herrera, R. (1989), "Analytical and experimental investigation on vibrating frames carrying concentrated masses", Appl. Acoust., 26, 243-50. https://doi.org/10.1016/0003-682X(89)90018-2
  9. Girgin, K., Ozmen, G. and Orakdogen, E. (2006), "Buckling lengths of irregular frame columns", J. Constr. Steel. Res., 62(6), 605-613. https://doi.org/10.1016/j.jcsr.2005.09.006
  10. Gounaris, G. and Dimarogonas, A. (1988), "A finite element of a cracked prismatic beam for structural analysis", Comput. Struct., 28(3), 309-13. https://doi.org/10.1016/0045-7949(88)90070-3
  11. Gupta, KK. (1970), "Vibration of frames and other structures with banded stiffness matrix", Int. J. Numer. Meth. Eng., 2, 221-28. https://doi.org/10.1002/nme.1620020207
  12. Karaagac, C., Ozturk, H. and Sabuncu, M. (2009), "Free vibration and lateral buckling of a cantilever slender beam with an edge crack: Experimental and numerical studies", J. Sound. Vib., 326(1-2), 235-50. https://doi.org/10.1016/j.jsv.2009.04.022
  13. Kishen, J.M.C. and Kumar, A. (2004), "Finite element analysis for fracture behavior of cracked beam-columns", Finite. Elem. Anal. Des., 40(13-14), 1773-89. https://doi.org/10.1016/j.finel.2004.01.003
  14. Laurai, P.A.A., Valerga, De., Greco, B. and Filipich, CP. (1987), "In-Plane vibrations of frames carrying concentrated masses", J. Sound. Vib., 117(3), 447-58. https://doi.org/10.1016/S0022-460X(87)80064-0
  15. Lee, H.P. (1993), "Natural frequencies and modes for the in-plane vibration of a triangular closed frame", J. Sound. Vib., 167(3), 568-72. https://doi.org/10.1006/jsvi.1993.1356
  16. Lee, H.P. and Ng, T.Y. (1994), "In-plane vibration of planar frame structures", J. Sound. Vib., 172(3), 420-27. https://doi.org/10.1006/jsvi.1994.1185
  17. Lee, H.P. and Ng, T.Y. (1994), "Natural frequencies and modes for the flexural vibration of a cracked beam", Appl. Acoust., 42(2), 151-63. https://doi.org/10.1016/0003-682X(94)90004-3
  18. Lu, Z.R. and Liu, J.K. (2012), "Vibration analysis of a cracked beam with axial force and crack identification", Smart. Struct. Syst., 9(4), 355-371. https://doi.org/10.12989/sss.2012.9.4.355
  19. Nikolakopoulos, P.G., Katsareas, D.E. and Papadopoulost, C.A. (1991), "Crack identification in frame structures", Comput. Struct., 64(14), 389-406.
  20. Ostachowicz, W.M. and Krawczuk, M. (1990), "Vibration analysis of a cracked beam", Comput. Struct., 36(2), 245-50. https://doi.org/10.1016/0045-7949(90)90123-J
  21. Pandey, U.K. and Benipal, G.S. (2011), "Bilinear elastodynamical models of cracked concrete Beams", Struct. Eng. Mech., 39(4), 465-498. https://doi.org/10.12989/sem.2011.39.4.465
  22. Phan, A.V. (2010), "ANSYS TUTORIAL-2-D Fracture Analysis ANSYS Release 7.0", University of South Alabama.
  23. Qian, G.L., Gu, S.N. and Jiang, J.S. (1990), "The dynamic behaviour and crack detection of a beam with a crack", J. Sound. Vib., 138(2), 233-43. https://doi.org/10.1016/0022-460X(90)90540-G
  24. Saavedra, P.N. and Cuitino, L.A. (2001), "Crack detection and vibration behavior of cracked beams", Comput. Struct., 79, 1451-59. https://doi.org/10.1016/S0045-7949(01)00049-9
  25. Sekhar, A.S. (1999), "Vibration characteristics of a cracked rotor with two open cracks", J. Sound. Vib., 223(4), 497-512. https://doi.org/10.1006/jsvi.1998.2120
  26. Shen, M.H.H. and Pierre, C. (1994), "Free Vibrations of beams with a single-edge crack", J. Sound. Vib., 170(2), 237-59. https://doi.org/10.1006/jsvi.1994.1058
  27. Syngellakis, S. and Kameshki, ES. (1994), "Elastic critical loads for plane frames by transfer matrix method", J. Struct. Eng-ASCE., 120(4), 1140-57. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1140)
  28. Tong, GS. and Xing, GR. (2007), "Determination of buckling mode for braced elastic-plastic frames", Eng. Struct., 29, 2487-96. https://doi.org/10.1016/j.engstruct.2006.12.001
  29. Trahair, N.S. (2009), "Buckling analysis design of steel frames", J. Constr. Steel. Res., 65(7), 1459-63. https://doi.org/10.1016/j.jcsr.2009.03.012
  30. Xu, L. and Liu, Y. (2002), "Story stability of semi-braced steel frames", J. Constr. Steel. Res., 58, 467-91. https://doi.org/10.1016/S0143-974X(01)00063-3
  31. Yokoyama, T. and Chen, MC. (1998), "Vibration analysis of edge-cracked beams using a line-spring model", Eng. Fract. Mech., 59(3), 403-9. https://doi.org/10.1016/S0013-7944(97)80283-4
  32. Zheng, D.Y. and Kessissoglou, N.J. (2004), "Free vibration analysis of a cracked beam by finite element method", J. Sound. Vib., 273, 457-75. https://doi.org/10.1016/S0022-460X(03)00504-2

피인용 문헌

  1. Dynamic stability of cracked multi-bay frame structures vol.23, pp.6, 2016, https://doi.org/10.1080/15376494.2015.1029160
  2. Static and dynamic stability of cracked multi-storey steel frames vol.58, pp.1, 2016, https://doi.org/10.12989/sem.2016.58.1.103
  3. Dynamic Analysis of Elastically Supported Cracked Beam Subjected to a Concentrated Moving Load vol.13, pp.1, 2016, https://doi.org/10.1590/1679-78252195
  4. Dynamic behaviour of a rotating cracked beam vol.744, 2016, https://doi.org/10.1088/1742-6596/744/1/012057
  5. Probabilistic elastic-plastic analysis of repaired cracks with bonded composite patch vol.20, pp.6, 2016, https://doi.org/10.12989/scs.2016.20.6.1173
  6. Non-linear incidental dynamics of frame structures vol.52, pp.6, 2014, https://doi.org/10.12989/sem.2014.52.6.1193
  7. Effects of edge crack on the vibration characteristics of delaminated beams vol.53, pp.4, 2015, https://doi.org/10.12989/sem.2015.53.4.767
  8. A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks vol.24, pp.24, 2018, https://doi.org/10.1177/1077546316653039
  9. Simplified modelling and analysis of a rotating Euler-Bernoulli beam with a single cracked edge vol.420, pp.None, 2013, https://doi.org/10.1016/j.jsv.2017.12.041
  10. Free vibration of multi-cracked beams vol.79, pp.4, 2013, https://doi.org/10.12989/sem.2021.79.4.441