弦支穹顶结构预应力设计及其抗震性能研究
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摘要
给出了弦支穹顶结构的一种基于平衡矩阵理论和最优化理论的预应力确定方法。通过对不同预应力水平以及不同上部单层网壳截面弦支穹顶的模态分析讨论了该结构体系的动力特性;并研究了弦支穹顶在地震作用下的基本特性,对比分析了相应单层网壳和弦支穹顶的动力响应。分析结果表明:弦支穹顶结构的自振频率随着预应力水平的提高而增大;但随着上部单层网壳刚度的增大,预应力的大小对其自振频率的影响逐渐减小;弦支穹顶的下部张力集成体系(索杆体系)降低了上部单层网壳大部分单元在地震作用下的最大应力,尤其是外层单元的应力。
Based on the equilibrium matrix theory and optimization theory,the design method of the prestress force of suspend-dome structure is presented.Then dynamic properties of the suspen-dome structure are investigated by the modal analysis with different prestress force values and different sections of the upper single-layer dome.At last,the earthquake response analysis was carried out to discuss the basic behavior of the suspend-dome under earthquake loading and the dynamic responses between the single-layer dome structure and suspend-dome structure were compared.The results show that the natural frequencies of the suspend-dome will increase when the prestress forces of the cables increase.And the effect of the prestress force on the natural frequencies of the suspend-dome structure becomes smaller while the stiffness of the upper single-layer dome increases.The tensegric system(cable-strut system) of suspend-dome structure decreases the maximum stresses in most of elements.
Based on the equilibrium matrix theory and optimization theory,the design method of the prestress force of suspend-dome structure is presented.Then dynamic properties of the suspen-dome structure are investigated by the modal analysis with different prestress force values and different sections of the upper single-layer dome.At last,the earthquake response analysis was carried out to discuss the basic behavior of the suspend-dome under earthquake loading and the dynamic responses between the single-layer dome structure and suspend-dome structure were compared.The results show that the natural frequencies of the suspend-dome will increase when the prestress forces of the cables increase.And the effect of the prestress force on the natural frequencies of the suspend-dome structure becomes smaller while the stiffness of the upper single-layer dome increases.The tensegric system(cable-strut system) of suspend-dome structure decreases the maximum stresses in most of elements.
引文
[1]Han Q,Liu X.Behavior of a single layer spherical domewith openings and large depth-to span ratio[J].Advance inStructural Engineering,2002,5(3):137-142.
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[5]Tatemichi I,Hatato T,Anma Y,et al.Vibration tests on afull-size suspend-dome structure[J].International Journalof Space Structures,1997,12(3-4):217-224.
[6]Kang Wenjiang,Chen Zhihua,Lam H,et al.Analysis anddesign of the general and outmost-ring stiffened suspen-dome structures[J].Engineering Structures,2003,25(13):1685-1695.
[7]Zhang Mingshan,Dong Shilin,Zhang Zhihong.Distributionof initial pre-stress and stability analysis of suspen-dome[J].Spatial Structures,2004,10(2):8-12.[张明山,董石麟,张志宏.弦支穹顶初始预应力分布的确定及稳定性分析[J].空间结构,2004,10(2):8-12.]
[8]Zhang Mingshan,Bao Hongze,Zhang Zhihong et al.Opti-mal prestress design of suspen-domes[J].Spatial Struc-tures,2004,10(3):26-30.[张明山,包红泽,张志宏等.弦支穹顶结构的预应力优化设计[J].空间结构,2004,10(3):26-30.]
[9]Li Yongmei,Zhang Yigan.Dynamic characteristics of Kie-witt cable-supported lattice shells[J].World EarthquakeEngineering,2007,23(1):91-97.[李永梅,张毅刚.凯威特型索承网壳结构的自振特性及参数分析[J].世界地震工程,2007,23(1):91-97.]
[10]Li Yongmei,Zhang Yigan.Study on dynamic characteris-tics of cable-supported lattice shells[J].Industrial Con-struction,2006,36(5):83-86.[李永梅,张毅刚.肋环型索承网壳结构的动力特性[J].工业建筑,2006,36(5):83-86.]
[11]Cui Xiaoqiang,Guo Yanlin.Seismic behaviors of suspen-dome structure[J].Earthquake Engineering and Engineer-ing Vibration,2005,25(1):67-75.[崔晓强,郭彦林.弦支穹顶结构的抗震性能研究[J].地震工程与工程振动,2005,25(1):67-75.]
[12]Zhang Zhihong,Dong Shilin,Zhang Mingshan.Dynamicanalysis of suspend-dome[J].Chinese Journal of Computa-tional Mechanics,2005,22(6):646-650.[张志宏,张明山,董石麟.弦支穹顶结构动力分析[J].计算力学学报,2005,22(6):646-650.]
[13]Kitipornchai S,Kang Wenjiang,Lam H,et al.Factors af-fecting the design and construction of lamella suspend-dome systems[J].Journal of Construction Steel Research,2005,61(6):764-785.
[14]Zhang Zhihong,Zhang Mingshan,Dong Shilin.Discussionon the equilibrium matrix theory and static and stability a-nalysis of a hybrid spatial structure composed of cables,barsand beams[J].Engineering Mechanics,2005,22(6):7-14.[张志宏,张明山,董石麟.平衡矩阵理论的探讨及一索杆梁杂交空间结构的静力和稳定性分析[J].工程力学,2005,22(6):7-14.]
[2]Abedi K,Parke G A R.Progressive collapse of single-layerbraced domes[J].International Journal of Space Struc-tures,1996,11(3):291-306.
[3]Kawaguchi M,Abe M,Tatemichi I.Design,tests and real-ization of suspend-dome system[J].Journal of InternationalAssociation of Shell and Spatial Structures,1999,40(131):179-192.
[4]Kawaguchi M,Abe M,Hatato T,et al.Structural tests onthe“suspen-dome”system[C]//Proceedings of the IASSsymposium.Atlanta,USA,1994.
[5]Tatemichi I,Hatato T,Anma Y,et al.Vibration tests on afull-size suspend-dome structure[J].International Journalof Space Structures,1997,12(3-4):217-224.
[6]Kang Wenjiang,Chen Zhihua,Lam H,et al.Analysis anddesign of the general and outmost-ring stiffened suspen-dome structures[J].Engineering Structures,2003,25(13):1685-1695.
[7]Zhang Mingshan,Dong Shilin,Zhang Zhihong.Distributionof initial pre-stress and stability analysis of suspen-dome[J].Spatial Structures,2004,10(2):8-12.[张明山,董石麟,张志宏.弦支穹顶初始预应力分布的确定及稳定性分析[J].空间结构,2004,10(2):8-12.]
[8]Zhang Mingshan,Bao Hongze,Zhang Zhihong et al.Opti-mal prestress design of suspen-domes[J].Spatial Struc-tures,2004,10(3):26-30.[张明山,包红泽,张志宏等.弦支穹顶结构的预应力优化设计[J].空间结构,2004,10(3):26-30.]
[9]Li Yongmei,Zhang Yigan.Dynamic characteristics of Kie-witt cable-supported lattice shells[J].World EarthquakeEngineering,2007,23(1):91-97.[李永梅,张毅刚.凯威特型索承网壳结构的自振特性及参数分析[J].世界地震工程,2007,23(1):91-97.]
[10]Li Yongmei,Zhang Yigan.Study on dynamic characteris-tics of cable-supported lattice shells[J].Industrial Con-struction,2006,36(5):83-86.[李永梅,张毅刚.肋环型索承网壳结构的动力特性[J].工业建筑,2006,36(5):83-86.]
[11]Cui Xiaoqiang,Guo Yanlin.Seismic behaviors of suspen-dome structure[J].Earthquake Engineering and Engineer-ing Vibration,2005,25(1):67-75.[崔晓强,郭彦林.弦支穹顶结构的抗震性能研究[J].地震工程与工程振动,2005,25(1):67-75.]
[12]Zhang Zhihong,Dong Shilin,Zhang Mingshan.Dynamicanalysis of suspend-dome[J].Chinese Journal of Computa-tional Mechanics,2005,22(6):646-650.[张志宏,张明山,董石麟.弦支穹顶结构动力分析[J].计算力学学报,2005,22(6):646-650.]
[13]Kitipornchai S,Kang Wenjiang,Lam H,et al.Factors af-fecting the design and construction of lamella suspend-dome systems[J].Journal of Construction Steel Research,2005,61(6):764-785.
[14]Zhang Zhihong,Zhang Mingshan,Dong Shilin.Discussionon the equilibrium matrix theory and static and stability a-nalysis of a hybrid spatial structure composed of cables,barsand beams[J].Engineering Mechanics,2005,22(6):7-14.[张志宏,张明山,董石麟.平衡矩阵理论的探讨及一索杆梁杂交空间结构的静力和稳定性分析[J].工程力学,2005,22(6):7-14.]
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