点支式幕墙单层索网谐波地震响应的几何非线性研究
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摘要
预应力平面单层索网是几何非线性较强的柔性张拉结构,由索中预拉力及几何非线性提供平面外刚度,在静力平衡位置预应力刚度较小,荷载作用下结构发生较大变形,因而产生了较大的几何刚度。针对几何非线性对此结构受力特性影响的重要性,对结构几何非线性作了定量分析,提出了几何非线性因子的概念;采用几何非线性时程分析方法,探讨了影响不同几何非线性的单层索网的谐波地震响应。分析结果表明,索网长宽比及索预应力对几何非线性影响较大;单层索网动力响应存在峰值共振偏移现象;并指出峰值共振频率不同于结构的线性自振频率和非线性自振频率。
A pre-stressed single-layer cable net falls into a group of flexible tensile structures with its strong geometric nonlinearity,which provides the cable net with the stiffness out of plane as a result of stress stiffing together with pre-stress.Due to the limited stiffness offered by the pre-stress of cable,the cable net will undergo large deflection under certain loads,which make it necessary to take the large deflection effects into account,it triggers the strong geometrical nonlinearity.Considering the importance of nonlinearity of the mechanical characteristics of the cable net,the nonlinearity of the cable net was quantified here with a factor of nonlinearity.With the help of transient analysis of the cable net of different geometric nonlinearity,the seismic response was investigated under harmonic activation.Finally,it was concluded that the shape of the cable net and the pre-stress affected its nonlinearity greatly;the peak resonant vibration would move aside for its nonlinearity and its corresponding frequencies were rather different from the linear frequencies and nonlinear frequencies provided by other scholars.
A pre-stressed single-layer cable net falls into a group of flexible tensile structures with its strong geometric nonlinearity,which provides the cable net with the stiffness out of plane as a result of stress stiffing together with pre-stress.Due to the limited stiffness offered by the pre-stress of cable,the cable net will undergo large deflection under certain loads,which make it necessary to take the large deflection effects into account,it triggers the strong geometrical nonlinearity.Considering the importance of nonlinearity of the mechanical characteristics of the cable net,the nonlinearity of the cable net was quantified here with a factor of nonlinearity.With the help of transient analysis of the cable net of different geometric nonlinearity,the seismic response was investigated under harmonic activation.Finally,it was concluded that the shape of the cable net and the pre-stress affected its nonlinearity greatly;the peak resonant vibration would move aside for its nonlinearity and its corresponding frequencies were rather different from the linear frequencies and nonlinear frequencies provided by other scholars.
引文
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[3]孙芬,石永久.点支玻璃建筑单层索网体系静力承载能力分析与试验研究[D].北京:清华大学,2005:26-33.
[4]吴丽丽,石永久,王元清.单层平面索网结构风振响应的几何非线性特性研究[J].振动与冲击,2007,26(4):30-34.
[5]闻邦春,李以农,徐培民,等.工程非线性振动[M].北京:科学出版社,2007:1-10.
[6]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.
[7]Zhou Huazhang,Wu Yue,Zhu Enchun.Nonlinear responsespectrums for cable-supported glass curtain walls[J].Journalof Harbin Institute of Technology,2007,14(6):827-832.
[8]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):8 7-91.
[9]Prem Krishna.Cable-suspended roofs[M].New York:McGraw-Hill,1978.
[10]沈世钊,徐崇宝,赵臣.悬索结构设计[M].北京:中国建筑工业出版社,2006:183-186.
[11]石永久,吴丽丽,王元清.单层索网体系非线性自振特性研究[J].振动工程学报,2006,19(2):173-178.
[12]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.
[13]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.
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