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| Stability optimization design for single-layer cylindrical domes based on joint well-formedness |
| LU Ming-fei, YE Ji-hong |
| Key Laboratory of Concrete and Prestressed Concrete Structures of China Ministry of Education, Southeast University, Nanjing 210018, China |
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Abstract Stability is a key factor in design and analysis of single-layer cylindrical domes. From the perspective of joint well-formedness, the relative gradient of joint well-formedness (gra_r) was defined here to fully reflect the static stability of structures and consider the core part directly related to stability of external factors, its minimum value (gra_rmin) was directly related to stability loads. It was shown that gra_r can quantitatively measure a structure’s tendency to lose stability and reveal domes’ unstable mechanism. On this basis, the stability optimization design method for single-layer cylindrical domes was proposed. Using the stability optimization model, the maximization of gra_rmin was taken as an objective, and discrete rods’ cross-sections as variables, various design constraint conditions specified in the code were considered, the force-bearing ability for the structure stability was improved under the premise of a given steel-consuming amount. Two practical engineering examples verified the effectiveness of the proposed stability optimization design method for single-layer cylindrical domes.
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Received: 09 December 2016
Published: 28 April 2018
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[1] Riks E. An incremental approach to the solution of snapping and buckling problems[J]. International Journal of Solids and Structures, 1979,15(7):529-551.
[2] Dubina D. Computation Models and Numerical Solution Procedures for Nonlinear Analysis of Single Layer Lattice Shells[J]. International Journal of Space Structures, 1992,7(4):321-333.
[3] Borri C, Spinelli P. Buckling and Post-buckling Behavior of Single Layer Reticulated Shells Affected By Random Imperfections[J]. Computers & Structures, 1988,30(4):937-943.
[4] Kashani M, Croll J G A. Lower bounds for overall buckling of spherical space domes[J]. Journal of engineering mechanics, 1994,120(5):949-970.
[5] Papadrakakis M. Inelastic post-buckling analysis of trusses[J]. Journal of Structural Engineering-ASCE, 1983,109(9):2129-2147.
[6] Gioncu V. Buckling of reticulated shells: State-of-the-art[J]. International Journal of Space Structures, 1994,10(1):1-46.
[7] 沈世钊，陈昕. 网壳结构稳定性[M]. 北京：科学出版社，1999.
Shen Shi-zhao, Chen Xin. Stability of reticulated shells[M]. Beijing: Science Press, 1999.
[8] 曹正罡，孙瑛，范峰，等. 单层柱面网壳弹塑性稳定性能研究[J]. 土木工程学报，2009，42(03)：55-59.
CAOZheng-gang, SUN Ying, FAN Feng, et al. Elasto-plastic stability of single-layer cylindrical reticulated shells [J]. China Civil Engineering Journal, 2009, 42(03):55-59.
[9] Ma H, Fan F, Wen P, et al. Experimental and numerical studies on a single-layer cylindrical reticulated shell with semi-rigid joints[J]. Thin-Walled Structures, 2015,86:1-9.
[10] Kato S, Kim J, Cheong M. A new proportioning method for member sections of single layer reticulated domes subjected to uniform and non-uniform loads[J]. Engineering Structures, 2003,25(10):1265-1278.
[11] Wu X. Vulnerability analysis of structural systems [D]. The University of Bristol, 1991.
[12] Agarwal J, Blockley D, Woodman N. Vulnerability of 3-dimensional trusses [J]. Structural Safety, 2001, 23(3):203-220.
[13] Agarwal J, Blockley D, Woodman N. Vulnerability of structural systems [J]. Structural Safety, 2003, 25(3):263-286.
[14] England J, Agarwal J, Blockley D. The vulnerability of structures to unforeseen events[J]. Computers & Structures, 2008,86(10):1042-1051.
[15] Ye J H, Liu W Z, Pan R. Research on failure scenarios of domes based on form vulnerability [J]. Science China-Technological Sciences, 2011, 54(11):2834-2853.
[16] 朱南海，叶继红. 基于结构易损性理论的网壳失效模式分析初探[J]. 振动与冲击，2011，30(6)：248-255.
Zhu Nan-hai, Ye Ji-hong. Failure scenarios analysis of single-layer latticed domes based on structural vulnerability theory [J]. Journal of Vibration and Shock, 2011, 30(6): 248-255.
[17] 刘文政，叶继红. 杆系结构的拓扑易损性分析[J]. 振动与冲击，2012，31(17)：67-80.
Liu Wen-zheng, Ye Ji-hong. Topological vulnerability analysis for member structures [J]. Journal of Vibration and Shock, 2012, 31(17): 67-80.
[18] Zhu Nanhai, Ye Jihong. Structural vulnerability of a single-layer dome based on its form [J]. Journal of Engineering Mechanics, ASCE, 2014, 140(1):112-127.
[19] 刘文政，叶继红. 单层球壳结构强震下倒塌模式的构件截面优化[J]. 振动工程学报，2014，27(5)：693-701.
Liu Wen-zheng, Ye Ji-hong. Cross-section optimization of the collapsing scenario for the single-layer spherical shells undersevere earthquake excitations [J]. Journal of Vibration and Shock, 2014, 27(5):693-701.
[20] Liu W, Ye J. Collapse optimization for domes under earthquake using a genetic simulated annealing algorithm [J]. Journal of Constructional Steel Research, 2014, 97:59-68.
[21] 刘文政，罗永峰. 单层球面网壳基于节点构形度的刚度均匀性判定准则[J]. 建筑结构学报，2015，36(11)：38-45.
LIU Wenzheng, LUO Yongfeng. Uniform stiffness criterion of single-layer spherical shells based on nodal well-formedness [J]. Journal of Building Structures, 2015, 36(11):38-45.
[22] 陆明飞，叶继红. 基于构形易损性理论的单层网壳结构静力稳定性研究[J]. 工程力学，2017，34(01)：6-84.
LU Ming-fei, YE Ji-hong. Static stability research on single-layer spherical shells based on form vulnerability theory [J]. Engineering Mechanics, 2017,34(01):76-84.
[23] GB/T17395-2008.无缝钢管尺寸、外形、重量及允许偏差[S]. 北京：中国标准出版社，2008.
GB/T17395-2008. Dimensions, shape, mass and tolerances of seamless steel tubes [S]. Beijing: Standards Press of China, 2008.
[24] GB50017-2003.钢结构设计规范[S]. 北京：中国建筑工业出版社，2003.
GB50017-2003.Code for design of steel structures[S]. Beijing:China Architecture & Building Press, 2003.
[25] JGJ7-2010.空间网格结构技术规程[S]. 北京：中国建筑工业出版社，2010.
JGJ7-2010. Technical Specification for Space Frame Structures[S]. Beijing:China Architecture & Building Press, 2010.
[26] Holland J H. Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence [M]. U Michigan Press, 1975.
[27] Gen M, Cheng R. A survey of penalty techniques in genetic algorithms[C]// Proceeding of IEEE International Conference on Evolutionary Computation, 1996.Nagoya: IEEE,1996. 804-809.
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