混凝土箱梁支座位移实验及有效温度计算
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摘要
为计算非线性温度分布下桥梁的支座位移,基于单位荷载法基本原理,建立了连续梁支座位移的计算方法和截面有效温度的计算公式。在此基础上,提出了有效温度的5种简化计算方法。为检验计算方法的精度和合理性,以西安沣河大桥这座单箱三室7跨变截面的连续箱梁桥为研究对象,现场实测了箱梁截面的温度和支座位移。实验研究和数值计算结果表明,截面的有效温度与截面的温度分布和截面的形状有关,对于变截面箱梁而言,即使具有相同的温度分布,不同截面的有效温度也是不同的。考虑混凝土的热传导效应,假定混凝土板内温度变化为指数衰减模式计算截面有效温度的加权平均值,所得支座位移误差较小,且偏安全。随后,有限元方法的计算结果进一步表明这种算法的合理性。
In order to calculate the displacement of the bridge under the nonlinear temperature distribution, the method on support displacement estimation of continuous beam and effective temperature calculation of cross section are proposed based on unit-load method. Then five simplified calculation methods on effective temperatures are established. In order to investigate the accuracies of those simplified methods, the temperature and displacement of the box girder section were measured based on the seven-span variable cross section girder of Fenghe Bridge with a single box 3 rooms located in Xi'an. Experimental and numerical results show that the effective temperature of the cross section is related to the temperature distribution and the shape of the section. For the non-uniform cross section box girder, the effective temperature of different cross section is different even in the same temperature distribution. If the weighted average value of the effective temperature of cross section is calculated by the exponential decay temperature variation across concrete slab for the heat conduction effect, the estimated support displacement would and be relatively conservative with small errors. The numerical results of the finite element method show that the simplified algorithm is reasonable.
In order to calculate the displacement of the bridge under the nonlinear temperature distribution, the method on support displacement estimation of continuous beam and effective temperature calculation of cross section are proposed based on unit-load method. Then five simplified calculation methods on effective temperatures are established. In order to investigate the accuracies of those simplified methods, the temperature and displacement of the box girder section were measured based on the seven-span variable cross section girder of Fenghe Bridge with a single box 3 rooms located in Xi'an. Experimental and numerical results show that the effective temperature of the cross section is related to the temperature distribution and the shape of the section. For the non-uniform cross section box girder, the effective temperature of different cross section is different even in the same temperature distribution. If the weighted average value of the effective temperature of cross section is calculated by the exponential decay temperature variation across concrete slab for the heat conduction effect, the estimated support displacement would and be relatively conservative with small errors. The numerical results of the finite element method show that the simplified algorithm is reasonable.
引文
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[14]夏樟华,朱三凡,宗周红.基于健康监测的大跨度连续刚构桥支座位移评估[C]//崔京浩.第18届全国结构工程学术会议.广州,2009:542―548.Xia Zhanghua,Zhu Sanfan,Zong Zhouhong.Assessment of support displacement of a continuous rigid-frame bridge with a large span based on long-term health monitoring[C]//Cui Jinghao.Proceedings of the Eighteenth National Conference on Structural Engineering.Guangzhou,2009:542―548.(in Chinese)
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[16]Kim S H,Park S J,Wu J,et al.Temperature variation in steel box girders of cable-stayed bridges during construction[J].Journal of Constructional Steel Research,2015,112(9):80―92.
[17]Roberts-Wallman C L,Breen J E,Cawrse J.Measurements of thermal gradients and their effects on segmental concrete bridge[J].Journal of Bridge Engineering,2002,7(3):166―174.
[18]张元海,李乔.非线性日照梯度温度作用下斜支承箱梁的温度效应研究[J].工程力学,2009,26(1):131―136.Zhang Yuanhai,Li Qiao.Temperature effect on skew box girder assuming nonlinear temperature gradient of sunshine[J].Engineering Mechanics,2009,26(1):131―136.(in Chinese)
[2]Zhu Z,Davidson M T,Harik I E,et al.Effect of superstructure temperature changes on intermediate pier foundation stresses in integral abutment bridges[J].Journal of Bridge Engineering,2014,20(1):04014058.DOI:10.1061/(ASCE)BE.1943-5592.0000634.
[3]Rodriguez L E,Barr P J,Halling M W.Temperature effects on a box-girder integral-abutment bridge[J].Journal of Performance of Constructed Facilities,2013,28(3):583―591.
[4]Arsoy S.Proposed mathematical model for daily and seasonal thermal bridge displacements[J].Transportation Research Record,2008,2050:3―12.
[5]Ko J M,Ni Y Q.Technology developments in structural health monitoring of large-scale bridges[J].Engineering Structures,2005,27(12):1715―1725.
[6]孙国晨,关荣财,姜英民,等.钢-混凝土叠合梁横截面日照温度分布研究[J].工程力学,2006,23(11):122―127.Sun Guochen,Guan Rongcai,Jiang Yingmin,et al.Sunshine-induced temperature distribution on cross section of steel-concrete composite beams[J].Engineering Mechanics,2006,23(11):122―127.(in Chinese)
[7]JTG D62-2012,公路钢筋混凝土及预应力混凝土桥涵设计规范[S].北京:人民交通出版社,2004.JTG D62-2012,Code for design of highway reinforced concrete and prestressed concrete bridges and culverts[S].Beijing:China Communication Press,2004.(in Chinese)
[8]JTG D60-2015,公路桥涵设计通用规范[S].北京:人民交通出版社,2015.JTG D60-2015,General code for design of highway bridges and culverts[S].Beijing:China Communication Press,2015.(in Chinese)
[9]JTG/T F50-2011,公路桥涵施工技术规范[S].北京:人民交通出版社,2011.JTG/T F50-2011,Technical specification for construction of highway bridge and culvert[S].Beijing:China Communication Press,2011.(in Chinese)
[10]张玉平,杨宁,李传习.无铺装层钢箱梁日照温度场分析[J].工程力学,2011,28(6):156―162.Zhang Yuping,Yang Ning,Li Chuanxi.Research on temperature field of steel box girder[J].Engineering Mechanics,2011,28(6):156―162.(in Chinese)
[11]Potgieter I C,Gamble W L.Nonlinear temperature distributions in bridges at different locations in the United States[J].PCI Journal,1989,34(4):80―103.
[12]彭大文,陈朝慰,林志平,等.混凝土T梁的温度-位移测试及计算研究[J].福州大学学报(自然科学版),2007,35(2):270―275.Peng Dawen,Chen Chaowei,Lin Zhiping,et al.Test and study on temperature-displacement of concrete T beam[J].Journal of Fuzhou University(Natural Science),2007,35(2):270―275.(in Chinese)
[13]邓扬,李爱群,丁幼亮.大跨悬索桥梁端位移与温度的相关性研究及其应用[J].公路交通科技,2009,26(5):54―58.Deng Yang,Li Aiqun,Ding Youliang.Research and application of correlation between beam end displacement and temperature of long-span suspension bridge[J].Journal of Highway and Transportation Research and Development,2009,26(5):54―58.(in Chinese)
[14]夏樟华,朱三凡,宗周红.基于健康监测的大跨度连续刚构桥支座位移评估[C]//崔京浩.第18届全国结构工程学术会议.广州,2009:542―548.Xia Zhanghua,Zhu Sanfan,Zong Zhouhong.Assessment of support displacement of a continuous rigid-frame bridge with a large span based on long-term health monitoring[C]//Cui Jinghao.Proceedings of the Eighteenth National Conference on Structural Engineering.Guangzhou,2009:542―548.(in Chinese)
[15]潘旦光,张爱卿.结构力学(上册)[M].北京:清华大学出版社,2014:86―88.Pan Danguang,Zhang Aiqing.Structural mechanics(I)[M].Beijing:Tsinghua University Press,2014:86―88.(in Chinese)
[16]Kim S H,Park S J,Wu J,et al.Temperature variation in steel box girders of cable-stayed bridges during construction[J].Journal of Constructional Steel Research,2015,112(9):80―92.
[17]Roberts-Wallman C L,Breen J E,Cawrse J.Measurements of thermal gradients and their effects on segmental concrete bridge[J].Journal of Bridge Engineering,2002,7(3):166―174.
[18]张元海,李乔.非线性日照梯度温度作用下斜支承箱梁的温度效应研究[J].工程力学,2009,26(1):131―136.Zhang Yuanhai,Li Qiao.Temperature effect on skew box girder assuming nonlinear temperature gradient of sunshine[J].Engineering Mechanics,2009,26(1):131―136.(in Chinese)