Steel and Composite Structures

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Nonlinear stability analysis of a radially retractable hybrid grid shell in the closed position

  • Cai, Jianguo (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Zhang, Qian (Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University) ;
  • Jiang, Youbao (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) ;
  • Deng, Xiaowei (Department of Civil Engineering, University of Hong Kong)
  • Received : 2016.06.13
  • Accepted : 2017.03.31
  • Published : 2017.06.30
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Abstract

The buckling capacity of a radially retractable hybrid grid shell in the closed position was investigated in this paper. The geometrically non-linear elastic buckling and elasto-plastic buckling analyses of the hybrid structure were carried out. A parametric study was done to investigate the effects rise-to-span ratio, beam section, area and pre-stress of cables, on the failure load. Also, the influence of the shape and scale of imperfections on the elasto-plastic buckling loads was discussed. The results show that the critical buckling load is reduced by taking account of material non-linearity. Furthermore, increasing the rise-to-span ratio or the cross-section area of steel beams notably improves the stability of the structure. However, the cross section area and pre-stress of cables pose negligible effect on the structural stability. It can also be found that the hybrid structure is highly sensitive to geometric imperfection which will considerably reduce the failure load. The proper shape and scale of the imperfection are also important.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Bai, Y., Yang, L. and Gong, L.F. (2015), "Elasto-plastic bearing capacity of four types of single-layer reticulated shell structures under fire hazards", Int. J. Struct. Stabil. Dyn., 15(3), 1450051. https://doi.org/10.1142/S0219455414500515
  2. Bulenda, T. and Knippers, J. (2001), "Stability of grid shells", Comput. Struct., 79(12), 1161-1174. https://doi.org/10.1016/S0045-7949(01)00011-6
  3. Cai, J.G., Gu, L.M., Xu, Y.X., Feng, J. and Zhang, J. (2012), "Nonlinear stability of a single-layer hybrid grid shell", J. Civil Eng. Manage., 18(5), 752-760. https://doi.org/10.3846/13923730.2012.723325
  4. Cai, J.G., Zhou, Y., Xu, Y.X. and Feng, J. (2013a), "Non-linear stability analysis of a hybrid barrel vault roof", Steel Compos. Struct., Int. J., 14(6), 571-586 https://doi.org/10.12989/scs.2013.14.6.571
  5. Cai, J.G., Xu, Y.X. and Feng, J. (2013b), "Kinematic analysis of Hoberman's Linkages with the screw theory", Mech. Mach. Theory, 63, 28-34. https://doi.org/10.1016/j.mechmachtheory.2013.01.004
  6. Cai, J.G., Deng, X.W., Feng, J. and Xu, Y.X. (2014), "Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory", Mech. Mach. Theory, 82, 256-265 https://doi.org/10.1016/j.mechmachtheory.2014.07.011
  7. Cai, J.G., Jiang, C., Xu, Y.X. and Feng, J. (2015), "Static analysis of a radially retractable hybrid grid shell in the closed position", Steel Compos. Struct., Int. J., 18(6), 1391-1401 https://doi.org/10.12989/scs.2015.18.6.1391
  8. Cai, J.G., Zhou, Y.H., Zhu, Y.F., Feng, J., Xu, Y.X. and Zhang, J. (2016), "Geometry and mechanical behaviour of radially retractable roof structures during the movement process", Int. J. Steel Struct., 16(3), 755-764. https://doi.org/10.1007/s13296-014-0173-7
  9. Eurocode (2004), European standard. 3: Design of steel structures, Parts 1-6: strength and stability of shell structures, European Committee for Standardisation.
  10. Fan, F., Cao, Z.G. and Shen, S.Z. (2010), "Elasto-plastic stability of single-layer reticulated shells", Thin-Wall. Struct., 48(10), 827-836. https://doi.org/10.1016/j.tws.2010.04.004
  11. 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
  12. GB50009-2012 (2012), Load code for the design of building structures; China Architecture & Building Press, Beijing, China.
  13. 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
  14. 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
  15. JGJ7-2010 (2010), Technical specification for space frame structures; China Architecture Industry Press, Beijing, China. [In Chinese]
  16. Kato, S., Yamashita, T. and Ueki, T. (2000), "Evaluation of elastoplastic buckling strength of two-way grid shells using continuum analogy", Proceedings of the 6th Asian Pacific Conference on Shell and Spatial Structures, Seoul, Korea, October, pp. 105-114.
  17. Liu, H.B., Chen, Z.H., Xu, S. and Bu, Y.D. (2015), "Structural behavior of aluminum reticulated shell structures considering semi-rigid and skin effect", Struct. Eng. Mech., Int. J., 54(1), 121-133 https://doi.org/10.12989/sem.2015.54.1.121
  18. Luo, Y.F. (1991), "Elasto-plastic stability and loading completeprocess research of reticulated shells', Ph.D. Thesis; Tongji University, China. [In Chinese]
  19. 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
  20. Nee, K.M. and Halder, A. (1988), "Elasto-plastic non-linear postbuckling analysis of partially restrained space structure", Comput. Methods Appl. Eng., 71(1), 69-97. https://doi.org/10.1016/0045-7825(88)90096-5
  21. Nie, G.H. (2003), "On the buckling of imperfect squarelyreticulated shallow spherical shells supported by elastic media", Thin-Wall. Struct., 41(1), 1-13. https://doi.org/10.1016/S0263-8231(02)00069-1
  22. Sassone, M. and Pugnale, A. (2010), "On the optimal design of glass grid shells with planar quadrilateral elements", Int. J. Space Struct., 25(2), 93-105. https://doi.org/10.1260/0266-3511.25.2.93
  23. Schmidt, H. (2000), "Stability of steel shell structures: General Report", J. Constr. Steel Res., 55(1), 159-181. https://doi.org/10.1016/S0143-974X(99)00084-X
  24. Simitses, G.J. (1976), An Introduction to the Elastic Stability of Structures, Prentice-Hall, Englewood Cliffs, NJ, USA.
  25. 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)
  26. Yang, M.F., Xu, Z.D., Huang, X.H. and Ye, H.H. (2014), "Analysis of the collapse of long-span reticulated shell structures under multi-dimensional seismic excitations", Int. J. Acoust. Vib., 19(1), 21-30.
  27. Zhang, H.D. and Han, Q.H. (2013), "A numerical investigation of seismic performance of large span single-layer latticed domes with semi-rigid joints", Struct. Eng. Mech., Int. J., 48(1), 57-75 https://doi.org/10.12989/sem.2013.48.1.057
  28. Zhang, A.L., Zhang, X.F. and Ge, J.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.
  29. Zhou, W., Chen, Y., Peng, B., Yang, H., Yu, H.J., Liu, H. and He, X.P. (2014), "Air damping analysis in comb microaccelerometer", Adv. Mech. Eng., 6, 373172. https://doi.org/10.1155/2014/373172
  30. Zhou, W., Chen, L.L., Yu, H.J., Peng, B. and Chen, Y. (2016), "Sensitivity jump of micro accelerometer induced by microfabrication defects of micro folded beams", Measure. Sci. Rev., 16(4), 228-234. https://doi.org/10.1515/msr-2016-0028