弗伦第尔空腹铝网壳的稳定性分析
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摘要
弗伦第尔网壳在双层网壳的基础上拆去斜腹杆形成,厚跨比小,稳定性是其设计的控制因素.毂式节点可有效传递杆件在面外的弯矩,而不能有效传递杆件在面内的弯矩.铝的弹性模量仅约为钢材的1/3.为了探究采用毂式节点连接的弗伦第尔铝网壳的稳定性,本文在利用Midas有限元软件对一拟建跨度为125m的弗伦第尔铝网壳进行了完善模型和缺陷模型的特征值屈曲分析后,利用Ansys有限元分析软件进行了考虑几何和材料双重非线性的全过程跟踪分析.分析结果表明:本结构对初始缺陷较为敏感,结构的实际承载力较特征值屈曲分析结果有很大程度的降低.本文系统地研究了空腹铝网壳的稳定性,可为以后类似工程提供参考.
The Vierendeel shell is formed on the basis of double-layer reticulated shell removing the diagonal web members.As the ratio of thickness to height is low,the stability is the control factor in the design.The hub joint can effectively transfer the moment out of plane,but can not transfer that inner plane.Meanwhile as a new type of metal material,the elastic modulus of aluminum is only about 1/3 of the steel's.In order to study the stability of the Vierendeel shell with hub joints connecting each member,the eigenvalue buckling analysis of perfect model and defect model of a proposed Vierendeel aluminum shell with a span of 125m is performed by the finite element software Midas.Then,the finite element analysis software Ansys is used in process tracking analysis considering geometric and material nonlinearity.The analysis results show the structure is sensitive to the initial defects,and the structure's real bearing capacity is much lower than its buckling eigenvalue.Systemetically stability analysis can provide a reference for future similar projects.
The Vierendeel shell is formed on the basis of double-layer reticulated shell removing the diagonal web members.As the ratio of thickness to height is low,the stability is the control factor in the design.The hub joint can effectively transfer the moment out of plane,but can not transfer that inner plane.Meanwhile as a new type of metal material,the elastic modulus of aluminum is only about 1/3 of the steel's.In order to study the stability of the Vierendeel shell with hub joints connecting each member,the eigenvalue buckling analysis of perfect model and defect model of a proposed Vierendeel aluminum shell with a span of 125m is performed by the finite element software Midas.Then,the finite element analysis software Ansys is used in process tracking analysis considering geometric and material nonlinearity.The analysis results show the structure is sensitive to the initial defects,and the structure's real bearing capacity is much lower than its buckling eigenvalue.Systemetically stability analysis can provide a reference for future similar projects.
引文
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[15]林山.三向球面空腹网壳结构稳定性及地震响应研究[D].西安:西安建筑科技大学,2010.LIN Shan.Stability and Earthquake Response Analysisof Three-dimensional Reticulated Vierendeel Shell[D].Xi’an:Xi’an University of Architecture and Technolo-gy,2010.
[16]鲍科峰.正交空腹网壳结构的静、动力性能研究[D].杭州:浙江大学,2004.BAO Ke-feng.Study on Static and Dynamic Perform-ance of Orthogonal Vierendeel Latticed Shells[D].Hangzhou:Zhejiang University,2004.
[17]杜文风,朱黎明,张慧,等.空腹网壳结构的静力稳定性与极限承载力研究[J].郑州大学学报(工学版),2008,29(3):99-102.DU Wen-feng,ZHU Li-ming,ZHANG Hui,et al.Study on stability and the limited load carrying capacityof vierendeel latticed shells[J].Journal of ZhengzhouUniversity(Engineering Science),2008,29(3):99-102.
[18]严仁章,陈志华,孙国军.水上大跨度空间网格结构的低温灾害与防腐技术研究[J].建筑钢结构进展,2012,14(1):51-56.YAN Ren-zhang,CHEN Zhi-hua,SUN Guo-jun.Lowtemperature disasters and anti-corrosion technology re-search on long-span spatial lattice structure upon water[J].Progress in Steel Building Structures,2012,14(1):51-56.
[19]GB50429-2007.铝合金结构设计规范[S].北京:中国计划出版社,2007.
[20]宛树旗.单层球面网壳非线性稳定研究[D].武汉:武汉大学,2005.WAN Shu-qi.Research on the Nonlinear Stability ofthe Single-layer Spherical Reticulated Shells[D].Wu-han:Wuhan University,2005.
[21]林国铎.带缺陷Kiewitt型单层网壳稳定分析[J].山西建筑,2009,35(9):82-83.LIN Guo-duo.Stability analysis of Kiewitt single-layerlattice shell with defection[J].Shanxi Architecture,2009,35(9):82-83.
[22]JGJ7-2010.空间网格结构技术规程[S].北京:中国建筑工业出版社,2010.
[23]陈志华,刘红波,周婷,等.空间钢结构APDL参数化计算与分析[M].北京:中国水利水电出版社,2009.
[2]董石麟.中国网壳结构的发展与应用[C]∥第六届空间结构学术会议论文集,1992:9-22.
[3]何家炎,高维元,刘赓启.跨度192m×146m方钢管网壳结构设计[J].空间结构,1997,3(4):34-38.HE Jia-yan,GAO Wei-yuan,LIU Geng-qi.Structuraldesign for 192m×146mspan square steel tubular rectic-ulated shell[J].Spatial Structures,1997,3(4):34-38.
[4]林冬娜,崔玉明,张红虎.2010年亚运广州自行车馆设计[J].建筑学报,2010,(10):63-65.LIN Dong-na,CUI Yu-ming,ZHANG Hong-hu.De-sign of the Guangzhou Bicycle Stadium for Asian Gamesin 2010[J].Architectural Journal,2010,(10):63-65.
[5]刘锡良,韩庆华,王开强,等.北京奥运会自行车馆双层球面网壳结构的设计与施工方法[J].建筑钢结构进展,2006,8(1):42-46.LIU Xi-liang,HAN Qing-hua,WANG Kai-qiang,etal.Design and construction method of the double-layerreticulated dome of Laoshan Cycling Gymnasium for Bei-jing Olympic Games[J].Progress in Steel BuildingStructures,2006,8(1):42-46.
[6]陈东,王修信,徐赵东.双层球面网壳的缺陷稳定分析[J].空间结构,2011,17(2):25-29.CHEN Dong,WANG Xiu-xin,XU Zhao-dong.Stabili-ty analysis of double-layer spherical reticulated shellwith imperfections[J].Spatial Structures,2011,17(2):25-29.
[7]田伟.刚性单层网壳结构找形与稳定研究[D].杭州:浙江大学,2011.TIAN Wei.Form-finding and Stability Research of Rig-id Single-layer Lattice Shells[D].Hangzhou:ZhejiangUniversity,2011.
[8]陈建飞,宋伯铨,童竞昱.单层网壳的非线性稳定分析[C]∥第四届空间结构学术交流会论文集,1988:485-490.
[9]范峰,严佳川,曹正罡.考虑杆件初弯曲的Kiewitt8单层网壳稳定承载力计算方法[C]∥2011全国钢结构学术年会论文集,2011:159-164.
[10]罗永峰,沈祖炎,胡学仁.单层网壳结构弹塑性稳定分析与试验研究[C]∥第六届空间结构学术会议论文集,1992:431-437.
[11]张慎伟,余贞江,田李梅.考虑初始几何缺陷的大跨度单层网壳非线性稳定分析[J].山东大学学报(工学版),2008,38(S2):63-65.ZHANG Shen-wei,YU Zhen-jiang,TIAN Li-mei.Nonlinear stability analysis of the large single layer re-ticulated shell with imperfections[J].Journal of Shan-dong University(Engineering Science),2008,38(S2):63-65.
[12]李谦.于家堡站双螺旋线单层网壳结构分析[D].天津:天津大学,2010.LI Qian.Structural Analysis of the Single-layer LatticeDome with Bidirectional Spiral Lines of Yujiapu Station[D].Tianjin:Tianjin University,2010.
[13]刘静,黄勇.空腹网壳简介及单元受力性能分析[J].山西建筑,2009,35(5):63-64.LIU Jing,HUANG Yong.Introduction of vierendeeldome and analysis of unit mechanical behavior[J].Shanxi Architecture,2009,35(5):63-64.
[14]李峰,林山.三向球面空腹网壳稳定性分析[J].低温建筑技术,2010,(8):56-58.LI Feng,LIN Shan.Stability analysis of three-dimen-sional reticulated vierendeel shells[J].Low Tempera-ture Architecture Technology,2010,(8):56-58.
[15]林山.三向球面空腹网壳结构稳定性及地震响应研究[D].西安:西安建筑科技大学,2010.LIN Shan.Stability and Earthquake Response Analysisof Three-dimensional Reticulated Vierendeel Shell[D].Xi’an:Xi’an University of Architecture and Technolo-gy,2010.
[16]鲍科峰.正交空腹网壳结构的静、动力性能研究[D].杭州:浙江大学,2004.BAO Ke-feng.Study on Static and Dynamic Perform-ance of Orthogonal Vierendeel Latticed Shells[D].Hangzhou:Zhejiang University,2004.
[17]杜文风,朱黎明,张慧,等.空腹网壳结构的静力稳定性与极限承载力研究[J].郑州大学学报(工学版),2008,29(3):99-102.DU Wen-feng,ZHU Li-ming,ZHANG Hui,et al.Study on stability and the limited load carrying capacityof vierendeel latticed shells[J].Journal of ZhengzhouUniversity(Engineering Science),2008,29(3):99-102.
[18]严仁章,陈志华,孙国军.水上大跨度空间网格结构的低温灾害与防腐技术研究[J].建筑钢结构进展,2012,14(1):51-56.YAN Ren-zhang,CHEN Zhi-hua,SUN Guo-jun.Lowtemperature disasters and anti-corrosion technology re-search on long-span spatial lattice structure upon water[J].Progress in Steel Building Structures,2012,14(1):51-56.
[19]GB50429-2007.铝合金结构设计规范[S].北京:中国计划出版社,2007.
[20]宛树旗.单层球面网壳非线性稳定研究[D].武汉:武汉大学,2005.WAN Shu-qi.Research on the Nonlinear Stability ofthe Single-layer Spherical Reticulated Shells[D].Wu-han:Wuhan University,2005.
[21]林国铎.带缺陷Kiewitt型单层网壳稳定分析[J].山西建筑,2009,35(9):82-83.LIN Guo-duo.Stability analysis of Kiewitt single-layerlattice shell with defection[J].Shanxi Architecture,2009,35(9):82-83.
[22]JGJ7-2010.空间网格结构技术规程[S].北京:中国建筑工业出版社,2010.
[23]陈志华,刘红波,周婷,等.空间钢结构APDL参数化计算与分析[M].北京:中国水利水电出版社,2009.
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