单层索网等效非线性单自由度体系的地震反应研究
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摘要
点式玻璃幕墙单层索网主要承受平面外荷载,而其平面外刚度依托于索预应力及其平面外变形的几何刚度,具有强几何非线性。针对其质量刚度均匀分布特性,为考虑几何非线性对其地震反应的影响,提出单层索网等效非线性单自由度体系(SDOF)的数学模型,指出可通过研究SDOF地震反应来研究平面单层索网的地震反应特性;建立单层索网的简化单质点体系的物理模型,研究影响其地震反应的关键因素,即刚度、几何非线性特性和动力特性;研究几何非线性单质点体系的地震反应特性,分析研究表明:具有三次刚度的几何非线性单自由度体系,在一定地震作用和阻尼下的反应谱可由线性周期和非线性因子双参数控制,为单层索网幕墙的抗震设计提供基础性理论参考。
Serving as the supporting system for point-supported glass curtain wall, primarily to bear out-of-plane loads and actions, singlelayer cable net with strong geometric nonlinearity obtains its out-of-plane stiffness from pre-tension and deformation. In view of its even distribution of stiffness and mass, a mathematical model for equivalent SDOF of cable net is proposed. It is also indicated that the seismic response of equivalent SDOF can be applied to investigate the seismic response of cable net. Furthermore, based on a simplified single particle system for cable net, it is focused on the key factors for seismic response of cable net, including stiffness, geometric nonlinearity and dynamic properties. Finally, the seismic response of single particle system with geometric nonlinearity is investigated.It is shown that the seismic response spectrum for systems with geometric nonlinearity could be controlled by linear period and two nonlinear geometrical parameters, which could serve as fundamental theoretical reference for seismic design for cable net.
Serving as the supporting system for point-supported glass curtain wall, primarily to bear out-of-plane loads and actions, singlelayer cable net with strong geometric nonlinearity obtains its out-of-plane stiffness from pre-tension and deformation. In view of its even distribution of stiffness and mass, a mathematical model for equivalent SDOF of cable net is proposed. It is also indicated that the seismic response of equivalent SDOF can be applied to investigate the seismic response of cable net. Furthermore, based on a simplified single particle system for cable net, it is focused on the key factors for seismic response of cable net, including stiffness, geometric nonlinearity and dynamic properties. Finally, the seismic response of single particle system with geometric nonlinearity is investigated.It is shown that the seismic response spectrum for systems with geometric nonlinearity could be controlled by linear period and two nonlinear geometrical parameters, which could serve as fundamental theoretical reference for seismic design for cable net.
引文
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[11]周华樟,武岳,沈世钊.单层平面索网玻璃幕墙结构抗震设计反应谱研究[J].建筑结构,2005,35(11):82-84(Zhou Huazhang,Wu Yue,Shen Shizhao.Investigation of response spectrum for glass curtain supported on plane single-layer cable net[J].Building Structures,2005,35(11):82-84(in Chinese))
[12]石永久,李勇,王元清.点支式幕墙单层索网谐波地震响应的几何非线性研究[J].振动与冲击,2009,10:31-35(Shi Yongjiu,Li Yong,Wang Yuanqing.Nonlinearity in seismic response of a cable net in point-supporting glass wall[J].Journal of Vibration and Shock,2009,10:31-35(in Chinese))
[2]Wang Y Q,Sun F,Shi Y J,et al.Design and finite element analysis of complicated single-layer cable net[C]//Proceedings of the 3rd International 05 Symposium on Steel Structures.Korea,2005:963-967
[3]Wu Lili,Wang Yuanqing,Shi Yongjiu.Analysis of factors affecting dynamic vibration characteristics of monolayer cable net for point supported glass cladding[C]//International Symposium on Shell and Spatial Structures,Romania,2005:475-482
[4]冯若强,武岳,沈世钊.单层平面索网结构非线性频率简化计算方法研究[J].工程力学,2007,24(10):87-91(Feng Ruoqiang,Wu Yue,Shen Shizhao.Study on simplified calculation method of nonlinear frequency of single-layer cable net[J].Engineering Mechanics,2007,24(10):87-91(in Chinese))
[5]闻邦春,李以农,徐培民.工程非线性振动[M].北京:科学出版社,2007:1-10
[6]褚亦清,李翠英.非线性振动分析[M].北京:北京理工大学出版社,1996:3-9
[7]Lu L Y,Lu Z H.The periodicity of chaotic impact oscillators in hausdroff phase spaces[J].Journal of Sound and Vibration,2000,235:105–116
[8]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001(GB 50011—2001 Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2001(in Chinese))
[9]丰定国,王社良.抗震结构设计[M].武汉:武汉理工大学出版社,2001:52-54
[10]尚仁杰,李谦,吴转琴,等.基于最小能量原理的矩形平面预应力索网结构大变形自由振动研究[J].振动与冲击,2007,26(9):158-161(Shang Renjie,Li Qian,Wu Zhuanqin,et al.Large deformation vibration of a planar rectangular prestressed cable-net structure based on principle of minimum potential energy[J].Journal of Vibration and Shock,2007,26(9):158-161(in Chinese))
[11]周华樟,武岳,沈世钊.单层平面索网玻璃幕墙结构抗震设计反应谱研究[J].建筑结构,2005,35(11):82-84(Zhou Huazhang,Wu Yue,Shen Shizhao.Investigation of response spectrum for glass curtain supported on plane single-layer cable net[J].Building Structures,2005,35(11):82-84(in Chinese))
[12]石永久,李勇,王元清.点支式幕墙单层索网谐波地震响应的几何非线性研究[J].振动与冲击,2009,10:31-35(Shi Yongjiu,Li Yong,Wang Yuanqing.Nonlinearity in seismic response of a cable net in point-supporting glass wall[J].Journal of Vibration and Shock,2009,10:31-35(in Chinese))
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