基于实体退化组合单元的钢筋混凝土多梁式T梁非线性分析
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摘要
根据实体退化壳单元理论,推导单元的位移场,建立钢筋混凝土多梁式T梁的实体退化组合单元模式,其中纵向受力钢筋采用空间杆单元处理,并推求了其对实体退化组合单元刚度矩阵的贡献。采用Ottosen四参数屈服准则,考虑混凝土的材料非线性,以及通过V.Karman假设考虑了结构的几何非线性,分析几何非线性对此结构的影响。典型算例分析表明:考虑双重非线性的钢筋混凝土多梁式T梁的实体退化组合单元的计算结果与试验资料吻合良好;当偏载加载时,加载端边梁的受力钢筋应力发展较为迅速而首先达到屈服应力,其余各主梁的受力钢筋应力依次发展,直至结构破坏;对于钢筋混凝土多梁式T梁类实体结构,材料非线性效应明显,但几何非线性效应在一定范围内可以不计入。
In this study, based on the degenerated shell element theory, the displacement field of the element is deduced, and the nonlinear composite element mode of the reinforced concrete multi-T beam is established. The longitudinal carrying bar is treated by the space bar element and its contribution to the stiffness matrix of nonlinear composite elements is deduced. The material nonlinearity of concrete is considered by the four parameters' Ottosen criterion, and the geometrical nonlinearity of the structure is taken into account by the V. Karman assumption to analyze the influence of geometrical nonlinearity on the structure. The typical example shows that the nonlinear combination element of reinforced concrete multi-T beam with double nonlinearities is in good agreement with the experimental data. The element can be used to correctly analyze the structure nonlinearity. When the partial load is loaded, the stress of the reinforced bar on the side beam develops more rapidly and reaches the yield stress firstly, while the stress of rest reinforced beams of all the main girders develops in sequence until the structure is destroyed. For reinforced concrete multi T beams, the effect of material nonlinear is evident, and geometrically nonlinear effect can be excluded within a certain range.
In this study, based on the degenerated shell element theory, the displacement field of the element is deduced, and the nonlinear composite element mode of the reinforced concrete multi-T beam is established. The longitudinal carrying bar is treated by the space bar element and its contribution to the stiffness matrix of nonlinear composite elements is deduced. The material nonlinearity of concrete is considered by the four parameters' Ottosen criterion, and the geometrical nonlinearity of the structure is taken into account by the V. Karman assumption to analyze the influence of geometrical nonlinearity on the structure. The typical example shows that the nonlinear combination element of reinforced concrete multi-T beam with double nonlinearities is in good agreement with the experimental data. The element can be used to correctly analyze the structure nonlinearity. When the partial load is loaded, the stress of the reinforced bar on the side beam develops more rapidly and reaches the yield stress firstly, while the stress of rest reinforced beams of all the main girders develops in sequence until the structure is destroyed. For reinforced concrete multi T beams, the effect of material nonlinear is evident, and geometrically nonlinear effect can be excluded within a certain range.
引文
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[2]HAWILEH R A,NAWAZ W,ABDALLA J A,et al.Effect of flexural CFRP sheets on shear resistance of reinforced concrete beams[J].Composite Structures,2015,122(4):468-476.
[3]邓宗才.混杂纤维增强超高性能混凝土弯曲韧性与评价方法[J].复合材料学报,2016,33(6):1274-1280.(DENGZongcai.Flexural toughness and characterization method of hybrid fibers reinforced ultra-high performance concrete[J].Acta Materiae Compositae Sinica,2016,33(6):1274-1280.(in Chinese))
[4]张峰,叶见曙.预应力混凝土梁开裂后的结构行为[J].东南大学学报(自然科学版),2005,35(4):584-588.(ZHANGFeng,YE Jianshu.Structure behavior of cracked prestressed concrete beam[J].Journal of Southeast University(Natural Science Edition),2005,35(4):584-588.(in Chinese))
[5]DENG Linzhong,MICHEL G,ALES Z,et al.Nonlinear flexural behavior of prestressed concrete girder bridges[J].Journal of Bridge Engineering,2001,6(4):276-284.
[6]THABET A,HALDANE D.Three-dimensional simulate-on of nonlinear response of reinforced concrete members subjected to impact-loading[J].Journal of ACI-Structure,2000,97(5):689-701.
[7]王丹,郭志昆,邵飞,等.混杂纤维布加固轻骨料混凝土梁的试验研究[J].长安大学学报(自然科学版),2016,36(2):52-58.(WANG Dan,GUO Zhikun,SHAO Fei,et al.Experimental study on LC beams strengthened with hybrid fiber sheets[J].Journal of Chang’an University(Natural Science Edition),2016,36(2):52-58.(in Chinese))
[8]张剑,叶见曙,王景全,等.预应力混杂碳/玻璃(C/G)纤维布加固RC梁的应力重分布[J].交通运输工程学报,2017,17(1):45-52.(ZHANG Jian,YE Jianshu,WANG Jingquan,et al.Stress redistribution of RC beams strengthened with prestressed hybrid Carbon/Glass(C/G)fiber cloth[J].Journal of Traffic and Transportation Engineering,2017,17(1):45-52.(in Chinese))
[9]汪锋,苏林,张剑,等.预应力混凝土刚构U型梁的受力性能研究[J].新技术新工艺,2017,37(11):32-35.(WANGFeng,SU Lin,ZHANG Jian,et al.Analysis of mechanical performances of rigid frame U shaped beam[J].New Technology&New Process,2017,37(11):32-35.(in Chinese))
[10]SUN Wei,GHANNOUM W M.Modeling of anchored CFRP strips bonded to concrete[J].Construction and Building Materials,2015,85:144-156.
[11]王家林.钢筋混凝土结构空间有限元分析的体梁组合单元[J].工程力学,2002,19(6):131-135.(WANG Jialin.A brickbeam combination element for three dimensional finite element analysis of reinforced concrete structures[J].Engineering Mechanics,2002,19(6):131-135.(in Chinese))
[12]张剑,黄剑峰,叶见曙,等.多肋式梁桥在全过程中应力重分布研究[J].哈尔滨工业大学学报,2010,42(10):1656-1661.(ZHANG Jian,HUANG Jianfeng,YE Jianshu,et al.Stress redistribution analysis of multi-girder structure during the whole course[J].Journal of Harbin Institute of Technology,2010,42(10):1656-1661.(in Chinese))
[13]HAMDIA K M,SILANI M,ZHUANG Xiaoying,et al.Stochastic analysis of the fracture toughness of polymericnanoparticle composites using polynomial chaos expansions[J].International Journal of Fracture,2017,206:215-227.
[14]YOO D Y,LEE J H,YOON Y S.Effect of fiber content on mechanical and fracture properties of ultra-high performance fiber reinforced cementitious composites[J].Composite Structures,2013,106(12):742-753.
[15]HAMDIA K M,ZHUANG Xiaoying,HE Pengfei,et al.Fracture toughness of polymeric particle nanocomposites:detection mechanical model of Models performance using Bayesian method[J].Composite Science and Technology,2016,126:122-129.
[16]BENNOUN M,HOUARI M S A,TOUNSI A.A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates[J].Mechanics of Advanced Materials and Structures,2016,23(4):423-431.
[17]吴贞杰,夏晓舟,章青.黏聚单元嵌入技术及其在混凝土细观分析模型中的应用[J].河海大学学报(自然科学版),2017,45(6):535-542.(WU Zhenjie,XIA Xiaozhou,ZHANG Qing.Embedding technique of cohesive element and its application in concrete mirco-level analysis model[J].Journal of Hohai University(Natural Sciences),2017,45(6):535-542.(in Chinese))
[18]SONG H W,YOU D W,BYUN K J,et al.Finite element failure analysis of reinforced concrete T-girder[J].Engineering Structures,2002,24:151-162.
[19]张剑,叶见曙,石杏喜,等.横向荷载作用下RC多T梁上部结构的受力性能研究[J].南京航空航天大学学报,2010,42(2):262-266.(ZHANG Jian,YE Jianshu,SHI Xingxi,et al.Mechanical properties of upper structure of RC multi-T girders subjected to transverse loads[J].Journal of Nanjing University of Aeronautics and Astronautics,2010,42(2):262-266.(in Chinese))
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