d 9340m m a e m 93m 110m 80m 1 b V 110m 80m 9. 4m 24 1 / / c Fig f m Analytical model 1 1

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1 CHINA CIVIL ENGINEERING JOURNAL Vol. 46 Sep. No KB KB m 80m 9. 4m TU A X Nonlinear buckling analysis of long-span elliptic paraboloid suspended dome structure for Houjie Gymnasium Jiang Zhengrong 1 2 Wang Shitong 1 Shi Kairong 1 2 Peng Zhihan 1 Gao Xiaonan 1 Kong Peng 1 1. South China University of Technology Guangzhou China 2. State Key Laboratory of Subtropical Building Science South China University of Technology Guangzhou China Abstract A long-span elliptic paraboloid suspended dome structure in which the clear span between supports is 110m 80m and the rise of the upper single layer reticulated shell is 9. 4m is employed in the steel roof of Houjie Gymnasium. The nonlinear buckling behaviors of the structure and the corresponding single layer reticulated shell are investigated respectively by considering geometric nonlinearity initial geometric imperfection and half-span distribution of live loads. Based on the study above the influences of initial geometric imperfection distribution mode and material elastic-plasticity on the stability analysis of suspended dome are further discussed. The results show that the stability bearing capacity of suspended dome is remarkably higher than that of single layer reticulated shell. The coefficient of stability bearing capacity usually is not minimal when the initial geometric imperfection is distributed in the first-order buckling mode and the material nonlinearity might have significant effect on the coefficient. The consistent mode imperfection method is not fully applicable to the stability analysis of the structure. Keywords suspended dome single layer reticulated shell geometric nonlinearity initial geometric imperfection material nonlinearity zhrjiang@ scut. edu. cn ZM0115 ANSYS 2012ZM

2 d 9340m m a e m 93m 110m 80m 1 b V 110m 80m 9. 4m 24 1 / / c Fig f m Analytical model m 20m 0. 8kN /m kN /m kN kN kN kN LINK kN /m 2 BEAM188 2 a 2 b

3 Table 1 1 Specifications of members and materials Q345-B ~ Fig ~ 3 GLG Different layouts of live loads N /mm 2 345N /mm N /mm N /mm N /mm 2 460N /mm ~ kg /m kg /m kg /m kg /m kg /m 2 3 ~ K L + λk G Φ = 0 1 K L K G λ Φ - 1 K L + λk G = K T ΔU = ΔP - F K T ΔU ΔP F

4 Table 2 Comparison of the first ten eigenvalues

5 % % 3 1 /300 Table 3 Comparison of coefficients of stability bearing capacity K 4. 2 K % % % % 50%

6 /300 9 K K = % 11 ~ ~ 13 4 K K = Von-mises Bauschinger

7 Fig. 13 Load-displacement curves under load combination No K = % /300 1 /400 1 /500 1 /600 1 /700 1 /800 1 /900 1 / / / ~ 15 1 / / % 14 Fig Load-displacement curves with different initial geometric imperfections Fig Influence of initial geometric imperfection Mamoru K Masaru A Tatsuo H et al. On a structural system " suspen-dome" system C / /Proceedings of IASS Symposium. Istanbul Mamoru K Masaru A Tatsuo H et al. Structural tests on the suspen-dome system C / /Proceedings of IASS Symposium. Atlanta J Ge Jiaqi Zhang Guojun Wang Shu et al. The overall stability analysis of the suspenddome structure system of the badminton gymnasium for 2008 Olympic Games J. Journal of Building Structures in Chinese

8 JGJ S JGJ Technical specification for space frame structures S. Beijing China Architecture & Building Press 2010 in Chinese 5 Kitipornchai S Kang W J Lam H F et al. Factors J Zhang Ailin Liu Xuechun Zhang Baoqin et al. Stability analysis of suspen-dome of Badminton Stadium for 2008 Olympic Games J. Industrial Construction in Chinese affecting the design and construction of Lamella suspen- 10. dome systems J. Journal of Constructional Steel D Shi Kairong. Research Theoretical analysis and construction study on long-span 6. elliptical suspendome structures D. Nanjing Southeast J Luo Bin Guo Zhengxing Feng Yuan et al. Stability research on elliptic paraboloid suspen-dome of Changzhou Municipal Gymnasium J. Journal of Building Structures in Chinese University 2007 in Chinese 11. M J Zhang Ailin Liu Xuechun. Suspen-dome optimal design of J Meng Meili Wu Bing Fu Xueyi et al. Olympic Badminton Stadium based on integral stability J. Building Structure in Chinese Structural design of suspen-dome structure of Pingshan Basketball Gymnasium for Universidad 2011 Shenzhen J. Building Structure in Chinese 13. J Jiang Zhengrong Shi Kairong Xu Mu et al. Analysis of nonlinear buckling and construction J. simulation for an elliptic paraboloid radial beam string Zhang Ailin Zhang Xiaofeng structure J. China Civil Engineering Journal Ge Jiaqi et al. Influence of initial geometrical in Chinese imperfections on stability of a suspendome for badminton arena for 2008 Olympic Games J. Spatial Structures in Chinese 14 GB S GB Code for acceptance of construction quality of steel structures S Beijing China Planning Press 2002 in Chinese

76 201 68m + 14 12. 9m 5m 500 16 20 10 168 ~ 180 8 25 14 20 14 PTFE 1 50 6 1 200 6 Q45B 1 670MPa PMSAP MIDAS SAP2000 MIDAS MIDAS 4. 2 4. 2. 1 0. 5s 0.

76 201 68m + 14 12. 9m 5m 500 16 20 10 168 ~ 180 8 25 14 20 14 PTFE 1 50 6 1 200 6 Q45B 1 670MPa PMSAP MIDAS SAP2000 MIDAS MIDAS 4. 2 4. 2. 1 0. 5s 0. 4 11 201 6 Building Structure Vol. 4 No. 11 Jun. 201 510060 2010 TU18. 2 A 1002-848X 201 11-0075-05 Design on stand structure of the main venue for Asian Games 2010 in Guangzhou Liu Yongtian Liu Yang Zhan