DOI QR코드

DOI QR Code

Static and dynamic stability of cracked multi-storey steel frames

  • Sabuncu, Mustafa (Department of Mechanical Engineering, Dokuz Eylul University) ;
  • Ozturk, Hasan (Department of Mechanical Engineering, Dokuz Eylul University) ;
  • Yashar, Ahmed (The Graduate School of Natural and Applied Sciences, Dokuz Eylul University)
  • 투고 : 2015.04.02
  • 심사 : 2016.02.13
  • 발행 : 2016.04.10

초록

Multi-storey frame structures are frequently exposed to static and dynamic forces. Therefore analyses of static (buckling) and dynamic stability come into prominence for these structures. In this study, the effects of number of storey, static and dynamic load parameters, crack depth and crack location on the in-plane static and dynamic stability of cracked multi-storey frame structures subjected to periodic loading have been investigated numerically by using the Finite Element Method. A crack element based on the Euler beam theory is developed by using the principles of fracture mechanics. The equation of motion for the cracked multi-storey frame subjected to periodic loading is achieved by Lagrange's equation. The results obtained from the stability analysis are presented in three dimensional graphs and tables.

키워드

참고문헌

  1. Bolotin, V.V. (1964), The Dynamic Stability of Elastic Systems, Holden-Day series in mathematical Physics, Holden-Day, San Francisco.
  2. Briseghella, L., Majorana, C.E. and Pellegrino, C. (1998), "Dynamic stability of elastic structures: a finite element approach", Comput. Struct., 69(1), 11-25. https://doi.org/10.1016/S0045-7949(98)00084-4
  3. Caddemi, S. and Calio, I. (2013), "The exact stability stiffness matrix for the analysis of multi-cracked frame structures", Comput. Struct., 125, 137-144. https://doi.org/10.1016/j.compstruc.2013.05.003
  4. Choi, D.H. and Yoo, H. (2009), "Iterative system buckling analysis, considering a fictitious axial force to determine effective length factors for multi-story frames", Eng. Struct., 31(2), 560-570. https://doi.org/10.1016/j.engstruct.2008.10.008
  5. Girgin, Z.C. and Girgin, K. (2006), "A numerical method for static and free-vibration analysis of nonuniform Timoshenko beam-columns", Can. J. Civil Eng., 33(3), 278-293. https://doi.org/10.1139/l05-109
  6. Ibrahim, A.M., Ozturk, H. and Sabuncu, M. (2013), "Vibration analysis of cracked frame structures", Struct. Eng. Mech., 45(1), 33-52. https://doi.org/10.12989/sem.2013.45.1.033
  7. 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), 235-250. https://doi.org/10.1016/j.jsv.2009.04.022
  8. Labib, A., Kennedy, D. and Featherston, C. (2014), "Free vibration analysis of beams and frames with multiple cracks for damage detection", J. Sound Vib., 333(20), 4991-5003. https://doi.org/10.1016/j.jsv.2014.05.015
  9. Mohammed, G.A. (2001), "Experimental and numerical analyses of multi-storey cracked frames with loss of support", Structural Engineering, Mechanics and Computation, Ed. A. Zingoni, Elsevier Science Ltd.
  10. Ozmen, G. and Girgin, K. (2005), "Buckling lengths of unbraced multi-storey frame columns", Struct. Eng. Mech., 19(1), 55-71. https://doi.org/10.12989/sem.2005.19.1.055
  11. Ozturk H., Yashar, A. and Sabuncu, M. (2016), "Dynamic stability of cracked multi-bay frame structures", Mech. Adv. Mater. Struc., 23(6), 715-726. https://doi.org/10.1080/15376494.2015.1029160
  12. Phan, A.V. (2010), "ANSYS TUTORIAL-2-D Fracture Analysis ANSYS Release 7.0", University of South Alabama
  13. Sakar, G., Ozturk, H. and Sabuncu, M. (2012), "Dynamic stability of multi-span frames subjected to periodic loading", J. Constr. Steel Res., 70, 65-70. https://doi.org/10.1016/j.jcsr.2011.10.009
  14. Xu, L. and Liu, Y. (2002), "Story stability of semi-braced steel frames", J. Constr. Steel Res., 58(4), 467-491. https://doi.org/10.1016/S0143-974X(01)00063-3
  15. Xu, L. and Wang, X.H. (2007), "Stability of multi-storey unbraced steel frames subjected to variable loading", J. Constr. Steel Res., 63(11), 1506-1514. https://doi.org/10.1016/j.jcsr.2007.01.010
  16. Xu, L. and Zhuang, Y. (2014), "Storey stability of unbraced steel frames subjected to non-uniform elevated temperature distribution", Eng. Struct., 62-63, 164-173. https://doi.org/10.1016/j.engstruct.2014.01.039
  17. Zheng, D.Y. and Kessissoglou, N.J. (2004), "Free vibration analysis of a cracked beam by finite element method", J. Sound Vib., 273(3), 457-475. https://doi.org/10.1016/S0022-460X(03)00504-2

피인용 문헌

  1. Experimental and analytical study of steel slit shear wall vol.24, pp.6, 2016, https://doi.org/10.12989/scs.2017.24.6.741
  2. Ant colony optimization for dynamic stability of laminated composite plates vol.25, pp.1, 2016, https://doi.org/10.12989/scs.2017.25.1.105
  3. A branch-switching procedure for analysing instability of steel structures subjected to fire vol.67, pp.6, 2016, https://doi.org/10.12989/sem.2018.67.6.629