1.School of Civil Engineering,Southwest Jiaotong University,Chengdu 610031,China;
2.Key Lab of Structures Dynamic Behavior and Control (Harbin Institute of Technology),Ministry of Education,Harbin 150090,China;
3.School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China;
4.China Enfei Engineering Corporation,Beijing 100038,China
A combined method was developed which can predict the dynamic instability modes and failure load of a single-layer latticed dome according to the seismic instability modes and failure load of a base dome.Firstly,the finite element models of single-layer latticed domes were built to calculate their full time-range seismic responses inclusive of the nodal displacements and the strain energy density of all the elements corresponding to each load step at individual seismic intensities.Then,the combined method was applied to predict both the dynamic instability modes and failure load of unseen single-layer latticed domes based on the dynamic instability modes and failure load of the base domes.The predicted results were compared with the corresponding fine finite element analysis (FEA) results of the unseen domes.To an extent,the developing combined method could be used in predicting the dynamic instability modes and failure load of the similar kinds of single-layer latticed domes with different spans,different rise-span ratios and different member section sizes.Hence,the study explores the application of the method of cell automat (CA) in the analysis and prediction of the instability modes and failure load of single-layer latticed domes,combining with the existing fine FEA numerical data of the domes.
[1] 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. (in Chinese))
[2] Seishi Yamada. Vibration behaviour of single-layer latticed cylindrical roofs [J]. International Journal of Space Structures. 1997, (3&4):181-190.
[3] Kumagai T, Ogawa T. Dynamic buckling behavior of single layer latticed domes subjected to horizontal step wave[J]. Journal of the International Association for Shell and Spatial Structures. 2003, 44(3): 167-174.
[4] Fan F, Wang D Z, Zhi X D, Shen S Z. Failure modes of reticulated domes subjected to impact and the judgment [J]. Thin-Walled Structures. 2010, 48(2): 143-149.
[5] Fan F, Wang D Z, Zhi X D, Shen S Z. Failure mechanism for single-layer reticulated dome under impact loads based on microcosmic dynamic response [C]. Materials and Structures. Hangzhou, China, 2008: 155-164.
[6] 韦征,叶继红,沈世钊.基于最大熵法的单层球面网壳在地震作用下的破坏模式预测[J]. 振动与冲击, 2008. 27(6):64-69. (WEI Zheng, YE Ji-hong, SHEN Shi-zhao. Failure type prediction of single-layer spherical shells under earthquake excitation based on maximum entropy [J]. Journal of Vibration and Shock, 2008. 27(6): 64-69. (in Chinese))
[7] 沈世钊, 支旭东. 球面网壳结构在强震下的失效机理[J].土木工程学报, 2005, 38(1):11-20. (Shen Shi-zhao, Zhi Xu-dong. Failure mechanism of reticular shells subjected to dynamic actions [J]. China Civil Engineering Journal, 2005, 38(1):1-20. (in Chinese))
[8] 苑宏宇. 单层球面网壳的最不利动荷载分析和动力失效分析[D]. 南京:东南大学, 2006. (Yuan Hong-yu. The most unfavorable dynamic loads and dynamic failure analysis of single-layer spherical shells [D]. Nanjing: Southeast University, 2006. (in Chinese))
[9] 苑宏宇, 叶继红, 沈世钊, 等. 单层球面网壳在简单动荷载作用下的失效研究[J]. 工程抗震与加固改造, 2006, 28(4):10-17. (Yuan Hong-yu, Ye Ji-hong, Shen Shi-zhao, et al. Failure mechanism analysis of single-layer spherical shells subjected to simple dynamic loads [J]. Earthquake Resistant Engineering and Retrofitting, 2006, 28(4):10-17. (in Chinese))
[10] Zhou G C. Application of stiffness/strength corrector and cellular automata in predicting response of laterally loaded masonry panels [D]. Plymouth: University of Plymouth, UK.2002.
[11] Sarkar P. A brief history of cellular automata [J]. ACM Comput. Surv.2000, 32(1): 80-107.
[12] Zhou G C, Rafiq M Y, Bugmann G, Easterbook D J. Cellular automata model for predicting the failure pattern of laterally loaded masonry panels [J]. Journal of Computing in Civil Engineering, ASCE. 2006, 20(6): 400-409.
[13] Pan D, Zhou G C, Rafiq M Y. An artificial neural network model for predicting failure load of masonry wall panel under lateral load [C]. Intelligent Computing in Engineering, Plymouth, British, 2008: 451-459.
[14] Zhang Y, Zhou G C, Xiong Y, Rafiq M Y. Techniques for predicting cracking pattern of masonry wallet using artificial neural networks and cellular automata [J]. Journal of Computing in Civil Engineering, ASCE. 2010, 24(2): 161-172.
[15] 杨书仪,刘德顺,赵继云. 储液容器跌冲落动力学神经网络建模[J]. 计算力学学报, 2010. 27(3):442-445. (Yang Shu-yi, Liu De-shun, Zhao Ji-yun. Neural network modeling for the drop impact dynamics of fluid-filled container [J]. Chinese Journal of Computational Mechanics, 2010, 27(3):442-445. (in Chinese))
[16] 李刚, 刘志强. 基于支持向量机替代模型的可靠性分析[J]. 计算力学学报, 2011. 28(5): 676-681. (LI Gang, Liu Zhi-qiang. Surrogate-based reliability analysis by support vector machine [J]. Chinese Journal of Computational Mechanics, 2011. 28(5):676-681. (in Chinese))
[17] 张明, 张瑀, 景志涛, 周广春. 预测单层柱面网壳破坏模式的细胞自动机方法[J]. 哈尔滨工业大学学报, 2013. 45(2): 14-19. (Zhang Ming, Zhang Yu, Jing Zhitao, Zhou Guangchun. Cellular autuomata technique for predicting failure mode of single-layer latticed cylindrical shell[J]. Journal of Harbin Institute of Technology, 2013. 45(2): 14-19)
[18] 张辉东, 王元丰. 基于能量指标的高层钢结构动力弹塑性抗震能力研究[J]. 土木工程学报, 2012, 45(6): 65-73 (Zhang Huidong, Wang Yuanfeng. Energy-based study on the dynamic elastic plasticity seismic capacity of a high-rise steel structure [J]. China civil engineering journal, 2012, 45(6): 65-73)
[19] 张明, 张瑀, 周广春, 支旭东. 基于应变能密度的单层球面网壳结构失效判定准则[J]. 土木工程学报, 2014, 47(4): 56-63 (Zhang, M., Zhang, Y., Zhou, G. C., Zhi, X. D. (2014). Criterion for judging failure of single-layer latticed dome based on strain energy density. China Civil Engineering Journal, 47(4): 56-63)
[20] 宋雅桐, 朱继澄. 地震动持续时间对多层结构反应的影响[J]. 地震工程与工程震动, 1983, 3(4): 49-58.