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1、第28卷第9期Vol.28No.9工程力学2011年9月Sep.2011ENGINEERINGMECHANICS165文章编号:1000-4750(2011)09-0165-09考虑轴向荷载影响的预应力单索静力解析方法*翁振江,尹凌峰,单建,唐敢,黄玮(东南大学土木工程学院,江苏,南京210018)摘要:单向或双向单层平面索网幕墙结构体系中竖索受力和变形较复杂,对其解析分析有重要意义,但缺乏深入研究。该文将其等效为双向均布荷载作用下的预应力竖索,以形成一种解析求解方法。针对其施工和结构特征,首次提出3阶段分析方案,并对主要的后2个阶
2、段,分别建立考虑轴向荷载影响的平衡方程和变形协调方程。通过求解平衡方程得到竖索竖向位移方程和横向挠曲方程,并首次得到挠度极值位置与轴向荷载影响的关系公式。该文还给出了第3阶段的两种多项式近似挠曲方程,并在求解过程中,对3种不同挠曲线求解分别进行简化处理,给出迭代策略。算例表明该文解析方法得到的结果均与有限元法吻合良好,说明该文分析方案和结果正确,近似方程也能保证很好的精度。关键词:单层平面索网;预应力;竖索;轴向荷载状态;双向荷载状态;解析方法;变形协调方程中图分类号:TU311;TU356文献标志码:ASTATICANALYTIC
3、METHODCONSIDEREDAXIALLOADEFFECTSFORPRETENSIONEDSINGLECABLESTRUCTURES*WENGZhen-jiang,YINLing-feng,SHANJian,TANGGan,HUANGWei(CollegeofCivilEngineering,SoutheastUniversity,Nanjing,Jiangsu210018,China)Abstract:Internalforceanddeformationofverticalcablesinunidirectionalorbi
4、directionalsingle-layerplanecablenetcurtainwallstructuralsystemarealwaysrathercomplex.Itsanalyticanalysisisthereforeanimportanttheoreticalbasisfortheanalysisofthewholestructure,but,correspondingresearchonthissubjectisverylimited.Thispapertreatsitasanequivalentpretensio
5、nedverticalcableunderbidirectionaluniformload,andtriestofindananalyticmethod.Accordingtotheloadanddeformationcharacteristics,ananalysisschemearefirstlybroughtforward,whichincludesthreephases.And,forthelattertwophaseswhicharemoreimportant,thepaperestablishesequilibriume
6、quationsanddeformationcompatibilityequationsconsideringtheaxialloadeffects.Bysolvingtheequilibriumequations,theverticaldisplacementequationandhorizontaldeflectionequationofverticalcablesareobtained,andtheformulathatreflectsthevariationofextremedeflectionpositionandaxia
7、lloadeffectsisfound.Thispaperalsogivesthedeflectionequationatthethirdstage,whichisexpressedastwopolynomialapproximationsrespectively,andmoreover,thesimplifiedformanditerationsolution.Calculationexamplesshowthattheanalyticmethodhasgoodagreementwithfiniteelementmethod,in
8、dicatingthattheanalysisschemeandresultsarecorrectandtheapproximateddeflectionequationshavegoodaccuracy.Keywords:singl