Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Non-linear stability analysis of a hybrid barrel vault roof

  • Cai, Jianguo (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Zhou, Ya (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Xu, Yixiang (Department of Civil Engineering, Strathclyde University) ;
  • Feng, Jian (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University)
  • Received : 2011.08.17
  • Accepted : 2013.05.23
  • Published : 2013.06.25
⟨ Previous Next ⟩

Abstract

This paper focuses on the buckling capacity of a hybrid grid shell. The eigenvalue buckling, geometrical non-linear elastic buckling and elasto-plastic buckling analyses of the hybrid structure were carried out. Then the influences of the shape and scale of imperfections on the elasto-plastic buckling loads were discussed. Also, the effects of different structural parameters, such as the rise-to-span ratio, beam section, area and pre-stress of cables and boundary conditions, on the failure load were investigated. Based on the comparison between elastic and elasto-plastic buckling loads, the effect of material non-linearity on the stability of the hybrid barrel vault is found significant. Furthermore, the stability of a hybrid barrel vault is sensitive to the anti-symmetrical distribution of loads. It is also shown that the structures are highly imperfection sensitive which can greatly reduce their failure loads. The results also show that the support conditions pose significant effect on the elasto-plastic buckling load of a perfect hybrid structure.

Keywords

References

  1. Borri, C. and Spinelli, P. (1998), "Buckling and post-buckling behavior of single layer reticulated shells affected by random imperfections", Comp. Struct., 30(4), 937-943.
  2. Bulenda, T. and Knippers, J. (2001), "Stability of gird shells", Comp. Struct., 79(12), 1161-1174. https://doi.org/10.1016/S0045-7949(01)00011-6
  3. Chen, X. and Shen, S.Z. (1993), "Complete load-deflection response and initial imperfection analysis of single-layer lattice dome", Int. J. Space Struct., 8(4), 271-278. https://doi.org/10.1177/026635119300800405
  4. Eurocode 3 (2004), European standard 3: Design of steel structures, Parts 1-6: Strength and Stability of Shell Structures, European Committee for Standardization.
  5. El-Sheikh, A. (2001a), "Configurations of single-Layer barrel vaults", Adv. Struct. Eng., 4(2), 53-64. https://doi.org/10.1260/1369433011502354
  6. El-Sheikh, A. (2001b), "Performance of single-layer barrel vaults with different configurations", Int. J. Space Struct., 16(2), 111-123. https://doi.org/10.1260/0266351011495214
  7. Fan, F., Wang, D.Z., Zhi, X.D. and Shen, S.Z. (2010a), "Failure modes of reticulated domes subjected to impact and the judgment", Thin-Walled Struct., 48: 143-149 https://doi.org/10.1016/j.tws.2009.08.005
  8. Fan, F., Cao, Z.G. and Shen, S.Z. (2010b), "Elasto-plastic stability of single-layer reticulated shells", Thin-Walled Struct., 48(10-11), 827-836. https://doi.org/10.1016/j.tws.2010.04.004
  9. Forman, S.E. and Hutchinson, J.W. (1970), "Buckling of reticulated shell structures", Int. J. Solids Struct., 6(7), 909-932. https://doi.org/10.1016/0020-7683(70)90004-1
  10. Gioncu, V. (1995), "Buckling of reticulated shells state-of-the-art", Int. J. Space Struct., 10(1), 1-46. https://doi.org/10.1177/026635119501000101
  11. Gioncu, V. (2003), "Stability theory: Principles and methods for design of steel structures", J. Constr. Steel Res., 59(2), 269-270. https://doi.org/10.1016/S0143-974X(02)00020-2
  12. Gosowski, B. (2003), "Spatial stability of braced thin-walled members of steel structures", J. Constr. Steel Res., 59(7), 839-865. https://doi.org/10.1016/S0143-974X(02)00093-7
  13. Hosozawa, O., Shimamura, K. and Mizutani, T. (1999), "The role of cables in large span spatial structures: introduction of recent space structures with cables in Japan", Eng. Struct., 21, 795-804. https://doi.org/10.1016/S0141-0296(98)00032-7
  14. Kato, S., Yamashita, T. and Ueki, T. (2000), "Evaluation of elasto-plastic buckling strength of two-way grid shells using continuum analogy", In: Sixth Asian Pacific Conference on Shell and Spatial Structures, Seoul, Korea (International Association for Shell and Spatial Structures), 105-114.
  15. Kang, W., Chen, Z., Lam, H.F. and Zuo, C. (2003), "Analysis and design of the general and outmost-ring stiffened suspen-dome structures", Eng. Struct., 25(13), 1685-1695. https://doi.org/10.1016/S0141-0296(03)00149-4
  16. Kitipornchai, S., Kang, W., Lam, H.F. and Albermani, F. (2005), "Factors affecting the design and construction of lamella suspen-dome systems", J. Constr. Steel Res., 61(6), 764-785. https://doi.org/10.1016/j.jcsr.2004.12.007
  17. Luo, Y.F. (1991), "Elasto-plastic stability and loading complete-process research of reticulated shells", Ph.D. Thesis, Tongji University. [in Chinese]
  18. Meek, J.L. and Tan, H.S. (1984), "Geometrically non-linear analysis of space frames by an incremental iterative technique", Comput. Methods Appl. Mech. Eng., 47(3), 261-282. https://doi.org/10.1016/0045-7825(84)90079-3
  19. Nee, K.M. and Halder, A. (1988), "Elasto-plastic non-linear post-buckling analysis of partially restrained space structure", Comput. Methods Appl. Eng., 71(1), 69-97. https://doi.org/10.1016/0045-7825(88)90096-5
  20. Nie, G.H. (2003), "On the buckling of imperfect squarely-reticulated shallow spherical shells supported by elastic media", Thin-Walled Struct., 41(1), 1-13. https://doi.org/10.1016/S0263-8231(02)00069-1
  21. Saitoh, M. and Okada, A. (1999), "The role of string in hybrid string structures", Eng. Struct., 21(8), 756-769. https://doi.org/10.1016/S0141-0296(98)00029-7
  22. Schlaich, J. and Schober, H. (1996), "Glass-covered gird-shells", Struct. Eng. Int., 6(2), 88-90. https://doi.org/10.2749/101686696780495716
  23. Suzuki, T., Ogawa, T. and Ikarashi, K. (1992), "Elasto-plastic buckling analysis of rigidly jointed single layer reticulated domes", Int. J. Space Struct., 7(4), 363-368. https://doi.org/10.1177/026635119200700412
  24. JGJ61 (2003), Technical Specification for Reticulated Shells, Beijing, China Architecture Industry Press. [in Chinese]
  25. Xue, W. and Liu, S. (2008), "Studies on a large-span beam string pipeline crossing", J. Struct. Eng. ASCE, 134(10), 1657-1667. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:10(1657)
  26. Yamada, S., Takeuchi, A., Tada, Y. and Tsutsumi, K. (2001), "Imperfection-sensitive overall buckling of single-layer lattice domes", J. Eng. Mech., 127(4), 382-396. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(382)
  27. Zhang, A.L. Zhang, X.F., Ge, J.Q. Liu, X.C. Wang, D.M. and Zhang, B.Q. (2006), "Influence of initial geometrical imperfections on stability of a suspendome for badminton arena for 2008 Olympic Games", Spatial Struct., 12(4), 8-12. [in Chinese]

Cited by

  1. Detection of member overall buckling in civil space grid structures based on deviation in normal strain along the member vol.131, 2017, https://doi.org/10.1016/j.engstruct.2016.10.028
  2. Failure modes and loading bearing capacity of corrugated steel roofs connected by standing seam clips vol.17, pp.4, 2017, https://doi.org/10.1007/s13296-017-1206-9
  3. Folding Behavior of a Foldable Prismatic Mast With Kresling Origami Pattern vol.8, pp.3, 2016, https://doi.org/10.1115/1.4032098
  4. Catenary Equation-Based Approach for Force Finding of Cable Domes pp.2093-6311, 2019, https://doi.org/10.1007/s13296-018-0117-8
  5. Dynamic characteristics and wind-induced vibration coefficients of purlin-sheet roofs vol.22, pp.5, 2016, https://doi.org/10.12989/scs.2016.22.5.1039
  6. Nonlinear stability analysis of a radially retractable hybrid grid shell in the closed position vol.24, pp.3, 2013, https://doi.org/10.12989/scs.2017.24.3.287
  7. Numerical parametric analysis on the ultimate bearing capacity of the purlin-sheet roofs connected by standing seam clips vol.63, pp.2, 2013, https://doi.org/10.12989/sem.2017.63.2.195
  8. Stabilities of cable-stiffened cylindrical single-layer latticed shells vol.24, pp.5, 2013, https://doi.org/10.12989/scs.2017.24.5.591
  9. Optimization of domes against instability vol.28, pp.4, 2013, https://doi.org/10.12989/scs.2018.28.4.427