Vol. 15, No. 1, pp. 9-15(2019)
RESEARCH ON INFLUENCE OF MEMBER INITIAL CURVATURE ON
STABILITY OF SINGLE-LAYER SPHERICAL RETICULATED DOMES
Yang Ding1, 2 and Tian-long Zhang1,*
1 School of Civil Engineering, Tianjin University, Tianjin, China
2 Key Laboratory of Coast Civil Structural Safety of the Ministry of Education, Tianjin University, Tianjin, China
*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. )
Received: 13 February 2017; Revised: 16 December 2017; Accepted: 17 December 2017
DOI:10.18057/IJASC.2019.15.1.2
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ABSTRACT
The distribution modes and magnitudes of member initial curvature significantly influence the stability of single-layer re-ticulated dome. Based on the deflection curvature of a compression bar with unequal end moments, a numerical simulation method for member initial curvature considering end moment effects is proposed using multi-beam methods based on ABAQUS. The approach is verified through a comparison of experiments using different systems. Using Kiewitt-8 dome as an example, the extent of the member initial curvature’s effect on the stability bearing capacity of these dome for different structure parameters is studied. The results show that the bending moments at the bar’s ends can affect the deflection shape of a compression bar and that the most unfavorable condition occurs when the member initial curvatures are coordinate with the deflection shapes. The reduction degree of the stability load-bearing capacity of such dome modelled using member initial curvatures considering end moments is greater than that for curvatures without considering end moments. The influ-ence of different member initial curvature amplitudes on the stability of these dome varies significantly, and a reasonable maximum value of the member initial curvature is proposed for performing stability analysis based on the structure response and realistic construction conditions.
KEYWORDS
Single-layer spherical reticulated dome, Nonlinear stability, Bearing capacity, Member Initial curvature, End Moment
REFERENCES
[1] Chen X. and Shen S.Z., “Complete load-deflection response and initial imperfection analysis of single-layer lattice dome”, International Journal of Space Structures, 1993, 8(4), 271-278.
[2] Gioncu V., "Buckling of reticulated shells: state-of-the-art." International Journal of Space Structures, 1995, 10(1), 1-46.
[3] BSI, “EN 1993-1-6. Eurocode 3: Design of steel structures-Part 1-6: Strength and stability of shell structures”, European Committee for Standardization: Brussels, 2007.
[4] Mohurd “JGJ 7-2010: Technical specification for space frame structures”, Beijing: China Architecture Industry Press, 2010. (in Chinese)
[5] Adman R. and Afra H., "Exact shape functions of imperfect beam element for stability analysis”, Advances in Engineering Software, 2007, 38(8), 576-585.
[6] Li G.Q. and Liu Y.S.,"A nonlinear beam element considering initial imperfection”, Chinese Journal of Computational Mechanics, 2005, 22(1), 69-72. (in Chinese)
[7] Kumar P.A., Sahoo D.R. and Kumar N., "Limiting values of slenderness ratio for circular braces of concentrically braced frames”, Journal of Constructional Steel Research 2015, 115, 223-235.
[8] Lotfollahi M., Alinia M.M. and Taciroglu E., “Validated finite element techniques for quasistatic cyclic response analyses of braced frames at sub-member scales”, Engineering Structures, 2016, 106, 222-242.
[9] Liew J.R., Punniyakotty N.M. and Shanmugam N.E., “Advanced analysis and design of spatial structures”, Journal of Constructional Steel Research, 1997, 42(1), 21-48.
[10] Qi L., Shao Y. and Huang Z., et al, “Dynamic damage criterion and damage mode for single layer lattice shell”, Journal of Constructional Steel Research, 2014, 99, 102-110.
[11] Marshall P.W., Gates W.E. and Anagnostopoulos S.W., “Inelastic dynamic analysis of tubular offshore structures”, Proceedings of Ninth Annual Offshore Technology Conference Offshore Technology Conference, Houston, USA, 1977, 235-246.
[12] Ding Y., Chen Z.T. and Zong L., et al, “A theoretical strut model for severe seismic analysis of single-layer reticulated dome”, Journal of Constructional Steel Research, 2017, 128, 661- 671.
[13] Chan S.L. and Zhou Z.H., “Second order analysis of frame using a single imperfect element per member”, Journal of Structural Engineering, ASCE, 1995, 121(6), 939-945.
[14] Fan F., Yan J. and Cao Z., “Stability of reticulated shells considering member buckling”, Journal of Constructional Steel Research, 2012, 77, 32-42.
[15] Yan J.C., Qin F. and Cao Z., et al, “Mechanism of coupled instability of single-layer reticulated dome”, Engineering Structures, 2016, 114, 158-170.
[16] Zhou Z., Wu J. and Meng S.P., “Nonlinear stability bearing capacity analysis for a suspended dome based on the initial curvature elements”, Chinese Journal of Computational Mechanics, 2010, 27(4), 721-726. (in Chinese)
[17] Yan J., Fan F. and Cao Z., “Research on influence of initial curvature of members on elastoplastic stability of reticulated shells”, Journal of Building Structures, 2012, 33(12), 63-71. (in Chinese)
[18] Wang Q., Deng H. and Huang L., “Effect of member's initial curvature on the static and dynamic bearing capacity of suspended dome”, Spatial Structures, 2013, 19(4), 18-24. (in Chinese)
[19] Code of Practice for the Structural Use of Steel 2011., Buildings Department of the Government of the Hong Kong Special Administrative Region, Hong Kong, China, 2011.
[20] Pang P.T.C., Kwan K.K., and Chan S.L., “Hong Kong code of practice for the structural use of steel 2005—second-order analysis and design method with effective-length-free assumption”, Progress in Steel Building Structures, 2007, 9(5), 57-62. (in Chinese)
[21] Chan S.L., “Geometric and material non-linear analysis of beam-columns and frames using the minimum residual displacement method”, International Journal for Numerical Methods in Engineering, 1988, 26(12), 2657-2669.
[22] Shen S.Z. and Chen X., “Stability of reticulated shells”, Beijing: Science Press, 1999, 69- 70. (in Chinese).
[23] Papadrakakis M., “Post-buckling analysis of spatial structures by vector iteration methods”, Computers & structures, 1981, 14(5-6), 393-402.
[24] Meek J.L. and Tan H.S., “Geometrically nonlinear analysis of space frames by an incremental iterative technique”, Computer methods in applied mechanics and engineering, 1984, 47(3), 261-282.
[25] Shi Y.J., Meng W., Wang Y.Q., “Experimental study of structural steel constitutive relationship under cyclic loading”, Journal of Building Materials, 2012, 15(3), 293-300. (in Chinese)
[26] Ministry of Construction of the People's Republic of China, “GB 50017-2003: Code of design of steel structures”, Beijing: China Planning Press, 2003. (in Chinese).