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Effect of Joint Stiffness on the Stability of Cable-braced Grid Shells

  • Wang, Xi (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Feng, Ruo-qiang (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Yan, Gui-rong (Department of Civil, Architectural and Environmental Engineering, Missouri University of Science and Technology) ;
  • Liu, Feng-cheng (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Xu, Wei-jia (Shanghai General Metal Structure Engineering Co., Ltd.)
  • Received : 2016.01.28
  • Accepted : 2016.06.28
  • Published : 2016.12.30

Abstract

Bolted joints used in cable-braced grid shells are typically semi-rigid joints, and the joint stiffness has a significant effect on the stability of cable-braced grid shells. The effect of joint stiffness on the stability of cable-braced grid shells is studied in this paper. Based on the experimental results of improved bolted joints, finite element models of elliptic paraboloid cable-braced grid shells with bolted joints are established, and spring elements are used to simulate the joint stiffness. The effect of the joint stiffness on the nonlinear buckling load is studied by changing the joint stiffness. The main conclusions are as follows. First, the joint rotational stiffness has a significant effect on the failure mode. When the joint rotational stiffness is small to a certain extent, the failure mode of cable-braced grid shells changes from overall buckling to local buckling. Second, the nonlinear failure mode is similar to the first-order eigenvalue buckling mode and the maximal compression stress distribution. The structural integrity is weakened, and the maximal steel tube compression stress decreases with the decrease of the joint rotational stiffness. The smaller the joint rotational stiffness, the lower the utilization rate of steel strength. The results suggest that the joint stiffness of elliptic paraboloid cable-braced grid shells should not be less than 20% of the rigid joint stiffness.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. ANSYS, Inc. (2003). Multiphysics 10.0, Canonsburg, PA.
  2. Chenaghlou, M. R. (1997). Semi-rigidity of connections in space structures (Doctoral dissertation, University of Surrey).
  3. El-Sheikh, A. I. (1993). "Numerical analysis of space trusses with flexible member-end joints." Int. J. Space Struct., 8(3), pp. 189-197. https://doi.org/10.1177/026635119300800305
  4. Fathelbab, F. A. (1987). "The effect of joints on the stability of shallow single layer lattice domes." Ph.D. thesis, Univ. of Cambridge, U.K.
  5. Feng, R., and Ge, J. (2013a). "Shape optimization method of free-form cable-braced grid shells based on the translational surfaces technique." Int. J. Steel Struct., 13(3), pp. 435-444. https://doi.org/10.1007/s13296-013-3004-3
  6. Feng, R. Q., Zhang, L., & Ge, J. M. (2015b). Multi-objective morphology optimization of free-form cable-braced grid shells. International Journal of Steel Structures, 15(3), pp. 681-691. https://doi.org/10.1007/s13296-015-9014-6
  7. Feng, R., Yao, B., and Ye, J. (2013b). "Stability of lamella cylinder cable-braced grid shells." J. Constr. Steel Res., 88(9), pp. 220-230. https://doi.org/10.1016/j.jcsr.2013.05.019
  8. Feng, R. Q., Ye, J., & Yao, B. (2012). Evaluation of the buckling load of an elliptic paraboloid cable-braced grid shell using the continuum analogy. Journal of Engineering Mechanics, 138(12), pp. 1468-1478. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000454
  9. Feng, R. Q., Ye, J., & Zhu, B. (2015). Behavior of bolted joints of cable-braced grid shells. Journal of Structural Engineering, 141(12), 04015071. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001320
  10. Kato, S., Mutoh, I., and Shomura, M. (1998). "Collapse of semi-rigidly jointed reticulated domes with initial geometric imperfections." J. Constr. Steel Res., 48(2-3), pp. 145-168. https://doi.org/10.1016/S0143-974X(98)00199-0
  11. Lightfoot, E., & Le Messurier, A. (1975, September). Instability of space frames having elastically-connected and offset members. In Second International Conference on Space Structures, University of Surrey, Guildford, England.
  12. Lopez, A., Puente, I., and Serna Miguel, A. (2007a). "Direct evaluation of the buckling loads of semi-rigidly jointed single-layer latticed domes under symmetric loading." Eng. Struct., 29(1), pp. 101-109. https://doi.org/10.1016/j.engstruct.2006.04.008
  13. Lopez, A., Puente, I., and Serna Miguel, A. (2007b). "Numerical model and experimental tests on single-layer latticed domes with semi-rigid joints." Comput. Struct., 85(7-8), pp. 360-374. https://doi.org/10.1016/j.compstruc.2006.11.025
  14. Ma, H., Fan, F., Chen, G., Cao, Z., & Shen, S. (2013). Numerical analyses of semi-rigid joints subjected to bending with and without axial force. Journal of Constructional Steel Research, 90(5), pp. 13-28. https://doi.org/10.1016/j.jcsr.2013.07.017
  15. Ma, H., Fan, F., Wen, P., Zhang, H., & Shen, S. (2015). Experimental and numerical studies on a single-layer cylindrical reticulated shell with semi-rigid joints. Thin-Walled Structures, 86, pp. 1-9. https://doi.org/10.1016/j.tws.2014.08.006
  16. Schlaich, J., and Schober, H. (1997). "Glass roof for the hippo house at the Berlin Zoo." Struct. Eng. Int., 7(4), pp. 252-254. https://doi.org/10.2749/101686697780494581
  17. Schober, H. (2002). "Geometrie-Prinzipien für wirtschaftliche und effiziente Schalentragwerke." Bautechnik, 79(1), pp. 16-24. https://doi.org/10.1002/bate.200200030
  18. Schlaich, J. (2004). "Conceptual design of light structures." J. Int. Assoc. Shell Spatial Struct., 45(146), pp. 157-168.
  19. Schlaich, J., and Schober, H. (1999). "Recent glass roofs." J. Int. Assoc. Shell Spatial Struct., 40(131), pp. 193-205.
  20. See, T. (1983). "Large displacement elastic buckling space structures."Ph.D. thesis, Univ. of Cambridge, U.K.
  21. Shibata, R., Kato, S., & Yamada, S. (1993). 42. Experimental study on the ultimate strength of single-layer reticular domes. Space Structures 4, 1, pp. 387.

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  1. Buckling mechanism of cable-stiffened lattice shells with bolted connections vol.22, pp.15, 2016, https://doi.org/10.1177/1369433219862098