1、 2 v( 自然科学版 )34 7 JournalofSouth ChinaUniversity ofTechnology Vo.l 34null No. 72006 M7(NaturalScienceEdition) Julynull 2006文章编号: 1000-565X( 2006) 07-0109-06nullnull 收稿日期: 2005-09-12* 基金项目: i g1 S “( 2004BB0058)null 作者简介: ( 1977-), 3,p V 3,1V Y r ?. E-mai:l chenmingzhengcmz163. com基于弧长法的预应力框架结构非线性分析*
2、陈明政null 黄null 音null 王正霖null 白绍良( ivr !, i400030)摘null 要: 根据后张有粘结预应力混凝土框架结构的受力特点,编制了适用于预应力建立和施加外荷载两个阶段的静力杆件非线性有限元分析程序.该程序直接从材料的应力-应变关系出发,考虑了混凝土的受拉硬化和受压软化,采用截面分层杆系有限元模型和弧长法,在刚度矩阵中同时考虑了材料非线性和几何非线性.经与两榀预应力混凝土框架试验结果校核,程序模拟精度较好,可用于后张有粘结预应力混凝土框架结构的计算与分析.关键词: 弧长法; 预应力框架结构; 非线性分析; 受力模型; 外荷载; 分层有限元模型中图分类号: TU
3、378null null null null 文献标识码: Anull nullfTs r Of Fs ? .f , r MM ,dL Es H, Vs 7 I n r, , r s V Tr _ 1;F , rTB8YV M .B =“ g B rM T= M 2. rdLKs,1“) ZE:B | - w q(M-null)1“?dLKZE 3, s M , “ ; 6B s“KE 4,ZEV -M1“?, ? z) F f , I n5F-%. eE BZE, Xr9 ,yN I n rMa l HWM1y Y; kT , s r O u 78, O) 1 v,yN ug MM rWTM
4、Y.1null 受力分析及预应力等效荷载处理1. 1null 受力分析fT r O s Vf d99B ,9 r Ta O 7SF = .B y V, L= Y rXf F8, r MM , T r O BT QT .dLKs, V| r O 3rBFr 9 9,i r O s s, m1 U.m1( a) L , OV) eM;m1( b) rs s em, PrF , q1q2 L = 3 _r 9,M r , P e.m1null y s sFig. 1null Analysis of loading in stretchingw ire stagenull null= S r9i Ta
5、 F -,N HB -M1 , T 1 HWr d 9 CY,5 V O = r( d ) aM (? 3M.= B uY Y r O| M,il fT r O. H,TB8 s s.1. 2null 预应力等效荷载的处理m1, r“ “M P, wL 3 _r (q1, q2, V | _r (M rQ 10 ,9 T:Q = nullNT nullqdx ( 1)T: NMf ,NT =1- p 0 00 (p - 1) (2p - 1) 6p (p - 1) /l0 lp(p - 1)2 ( 3p - 1) (p - 1)p 0 00 p2 (3- 2p) 6p (1- p) /l0 l
6、p2 (p - 1) p(3p - 2);nullqrs9 . m2 Ur (q, nullq= 0null qnull 0T.7p = x /l,5 T(1) VQ = nullx0 NT0q0dx = q0null p - p3 /l2 + p4 /(2l3)p2 /2- 2p3 /(3l) + p4 /(2l3 )0null null p3 /l2 - p4 /(2l3 )null null p3 /(3l) + p4 /(4l2 ).m2nullrMFig. 2null D isplace of the element equivalent load2null 非线性有限元分析模型2.
7、 1null 材料本构关系的选取2. 1. 1null 混凝土的本构关系dLs s“K , I n r s s1+. r s r 7 , ) r , WrTT,|? sB ; r s r srKv , “M?9v, vhlC. I n r s H, H I n r 1 ( 23)T: p 2= pTp; nullu 2= nulluTnullu.null, null | H, E e T. null= 1, null= 0 H,nullu( i)T nullu( i) = nulll2 ( 24)T( 24) Crisfield E5. R iks4 E 12 , Vr T( nullnull
8、(1) ) 2 + nullu(1)Tnullu(1) = nulll2, null i = 1 ( 25)nullnull( 1) nullnull( i) + nullu(1)T nullu( i) = 0, null i 1 ( 26)3null 试验模拟分析r,D 8 tT r OYKJ1YKJ2 dLs. Oj# nm6, t F,FZ m7 U.YKJ1YKJ2 (S 2 S,o ,. r OdL Vs J.r !, 1990, 23( 4): 2-14.Liu Nan-ke, Zhou J-i yue, X iaoYun-hu,i et a.l A full rangenonli
9、near analysis for reinforced concrete frams J. Ch-ina CivilEngineering Journa,l 1990, 23(4): 2-14. 4 null +. I n + r OdLK VsD. i: ivr !,1992. 5 null CrisfieldM A. An arc-lengthmethod including line searchand accelerations J. International Journal forNumericalM ethods in Engineering, 1983, 19(9): 126
10、9-1289. 6 null Forde B W R, StiemerS F. Improved arc-length orthogo-nalitymethods fornonlinear finite element analysis J.Computers and Structures, 1987, 27( 5): 625-630. 7 null BelliniPX, ChulyaA. An improved automatic incrementalalgorithm for the efficient solution of nonlinear finite ele-ment equa
11、tion J. Computers and Structures, 1987, 26( 1/2): 99-110. 8 null .1 t OY k D. i: ivr !, 2004. 9 null g!, .C !9M .:Sy, 1998. 10 null/ , . KE113null7 :E OdLsM .:, 1981. 11 null Kent D C, Park R. Flexuralmembersw ith confined con-crete J. Journal of the Structural D ivision, ASCE,1971, 97(7): 1969-1990
12、. 12 null Riks E. An incremental approach to the solution of snap-ping and buckling problems J. International Journal ofSolids and Structures, 1979, 15(7): 529-551.NonlinearAnalysis of Prestressed Frame Based onArc-LengthMethodChen M ing-zheng null H uang Yinnull Wang Zheng-linnull B ai Shao-liang(C
13、ollege ofCivilEngineering, ChongqingUniv. , Chongqing 400030, China)Abstract: According to the loading characteristics ofbonded pos-t tensioned prestressed concrete frames, aprogramisworked out to perform a nonlinear finite element analysis for the static staff in both the stretching wire stage andt
14、he loading stage. In working out the program, the relationship between the stress and the strain of thematerial isdirectly employed, the tension hardening and compression softening of concrete are considered, the sectional lay-ered finite elementmodel and the arc-length method are adopted, and both
15、thematerial nonlinearity and the geo-metric nonlinearity are taken into account in the stiffnessmatrix. As comparedw ith the experimental results of twoprestressed concrete frames, the simulated results obtained by the program are of high precision, meaning that theproposed program is suitable for t
16、he calculation and analysis of bonded pos-t tensioned prestressed concrete frames.Key words: arc-length method; prestressed frame; nonlinearanalysis; loadingmode;l exterior load; layered finiteelementmodelnull (上接第 108页)环境元素与纪念场所的融合及其实例分析*黄烨勍null 孙一民( 2 vy,510640)摘null 要: 通过总结梅州市叶剑英纪念园的规划设计,对融合环境的纪念
17、场所的创作进行了探索.文中从融合环境的思路出发,在整合原有各种环境关系的基础上,有机协调原生环境元素与所营造的纪念场所的新元素之间的关系,并将提炼出的原环境特质点运用于对园区功能的创造中,使营造的纪念空间有机地融入环境的整体空间结构脉络中,实现深层次的融合.关键词: 纪念场所; 环境; 融合; 纪念馆中图分类号: TU986. 5+ 3; TU251. 3null null null null 文献标识码: A文章编号: 1000-565X( 2006) 07-0104-05null null null null 责任编辑: 傅晓琴null 收稿日期: 2004-10-10* 基金项目:SE1 S “( 50478098)null 作者简介:)( 1975-), 3,p V 3,1V Y g !9. E-mai:l 114 2 v(自然科学版)34
