公铁两用钢桁梁斜拉桥风致抖振时域分析
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摘要
随着科学技术的发展,在现代桥梁工程中,正在逐渐向着大跨度、主梁更柔的方向发展,但因此桥梁的风致振动也成为一个不可忽视的问题。桥梁的风致振动不仅会对桥梁的关键截面应力和结构的疲劳性能有显著的影响,而且对桥梁的行驶舒适度及桥梁施工的安全性均会产生不利影响。在风致振动中抖振是一种很重要的限幅振动,对其分析的方法有两种：时域法和频域法：时域法在现在的抖振分析中占有不可忽略的作用。
本文以某公铁两用钢桁斜拉桥为背景,对其成桥态和施工态进行了抖振线性时域分析。具体所作工作如下：
1.根据斜拉桥主梁的结构特点及桥塔特点,分别对其进行了三维脉动风场模拟。
2.利用Scanlan提出的准定长气动力公式计算出斜拉桥各个界面的抖振力,并编译了一套了在ANSYS中加载简便方法。
3.运用ANSYS对某公铁两用钢桁斜拉桥进行简化建模,进行了模态分析和抖振分析。
4.针对该桥的主梁和桥塔进行了线性抖振时域分析,计算了关键截面的内力和位移。
5.根据本文的结果,总结了一些对实际工程有一定参考价值的结论。
With the development of science and technology, the cable-stayed bridge is gradually developing into long span and deck more flexibility, but the wind-induced vibration of the bridge has also become an issue can not be ignored. The wind-induced vibration of bridge not only have significant impact on the stress of key section of the bridge and fatigue properties of the structure, but also have adverse effects on driving comfort at the using stage and safety at building stage. Buffeting is one of extremely important limit amplitude vibration, which has two method named frequency-domain simulation and time-domain simulation to analyze. Time-domain simulation plays a momentous role in buffeting analysis.
In this thesis, taking one combined highway and railway steel truss cable-stayed bridge as the background, linear time-domain buffeting analysis at using and building stage is studied. The major work is shown as follows:
1. According to the characteristics of the deck and tower, three-dimensional fluctuating is simulated.
2. Buffeting force of key section of bridge calculated by using Scanlan's quasi-steady aerodynamic theory. A set of code which is easy to load the buffeting force on model in ANSYS is compiled.
3. The simplified model of combined highway and railway steel truss cable-stayed bridge is built in ANSYS, which used to make the modal analysis and buffeting analysis of the model.
4. Making the linear buffeting time-domain simulation analysis for the deck and tower to calculate the internal force and displacement of the key sections of bridge.
5. According to the result of this thesis, some conclusions that have certain reference value in engineering are summarized.
本文以某公铁两用钢桁斜拉桥为背景,对其成桥态和施工态进行了抖振线性时域分析。具体所作工作如下：
1.根据斜拉桥主梁的结构特点及桥塔特点,分别对其进行了三维脉动风场模拟。
2.利用Scanlan提出的准定长气动力公式计算出斜拉桥各个界面的抖振力,并编译了一套了在ANSYS中加载简便方法。
3.运用ANSYS对某公铁两用钢桁斜拉桥进行简化建模,进行了模态分析和抖振分析。
4.针对该桥的主梁和桥塔进行了线性抖振时域分析,计算了关键截面的内力和位移。
5.根据本文的结果,总结了一些对实际工程有一定参考价值的结论。
With the development of science and technology, the cable-stayed bridge is gradually developing into long span and deck more flexibility, but the wind-induced vibration of the bridge has also become an issue can not be ignored. The wind-induced vibration of bridge not only have significant impact on the stress of key section of the bridge and fatigue properties of the structure, but also have adverse effects on driving comfort at the using stage and safety at building stage. Buffeting is one of extremely important limit amplitude vibration, which has two method named frequency-domain simulation and time-domain simulation to analyze. Time-domain simulation plays a momentous role in buffeting analysis.
In this thesis, taking one combined highway and railway steel truss cable-stayed bridge as the background, linear time-domain buffeting analysis at using and building stage is studied. The major work is shown as follows:
1. According to the characteristics of the deck and tower, three-dimensional fluctuating is simulated.
2. Buffeting force of key section of bridge calculated by using Scanlan's quasi-steady aerodynamic theory. A set of code which is easy to load the buffeting force on model in ANSYS is compiled.
3. The simplified model of combined highway and railway steel truss cable-stayed bridge is built in ANSYS, which used to make the modal analysis and buffeting analysis of the model.
4. Making the linear buffeting time-domain simulation analysis for the deck and tower to calculate the internal force and displacement of the key sections of bridge.
5. According to the result of this thesis, some conclusions that have certain reference value in engineering are summarized.
引文
[1]张相庭.工程结构风荷载理论及抗风手册计算.同济大学出版社.1990
[2]张相庭.结构风工程.中国建筑工业出版社.2005
[3]M.S.特罗伊茨基.斜拉桥理论与设计.中国铁道出版社.1980
[4]林培元.斜拉桥.人民交通出版社.2004
[5]丁泉顺.大跨度桥梁耦合颤抖振响应分析.同济大学出版社.2007
[6]Lin Y K,Li Q C. New stochastic theory for bridge stability in turbulent flow (J). Journal of Engineering Mechanics, 1993,119(1):113-127.
[7]Q.Ding, P.K.K.Lee and S.H.Lo.Time domain buffeting analysis of suspension bridges subjected to turbulent wind with effective attack angle (J). Journal of Sound and Vrbriation,2000,233(2):311-327.
[8]刘春华,项海帆,顾明.大跨度桥梁抖振响应的空间非线性时程分析方法[J].同济大学学报,1996,24(4)：380-385.
[9]杨咏漪.独塔抖拉桥抖振时变可靠度研究.西南交通大学硕士学位论文,2003
[10]MiyataT,Yamada H,Boonyapinyo V.Analytical Investigation on the Respo-nse of a very long Suspension Bridge Under Gust Wind [A].Proceedings of Ninth international Conference on Wind Engineering[C],1995:-006-1017
[11]Scanlan R H.The action of flexible bridges under wind Ⅱ buffeting theory [J].Sound andVib.,1978,60(2):201 - 211.
[12]陈伟.大跨度桥梁抖振反映谱研究[D].上海：同济大学,1993.
[13]严国敏.现代斜拉桥.西南交通大学出版社.2000
[14]陈政清.桥梁风工程.人民交通出版社.2005.
[15]彭国伦Fortran95程序设计.中国电力出版社.2008
[16]马存明.流线箱型桥梁断面三维气动导纳研究.西南交通大学博士学位论文[17]项海帆、陈伟、顾明.桥梁抖振反应谱的实用计算方法.土木工程学报,1995
[18]Davenport A G. The application of statistical concepts to the wind loading of structures[J].Proc ICE,1961,19:449-472
[19]Davenport A G. Buffeting of a suspension bridge by storm winds[J].J Struct Engrg Div ASCE.1962，88(6):233-264
[20]陈艾荣、艾辉林.计算桥梁空气动力学.人民交通出版社.2010
[21]姚伟.大跨度公铁两用斜拉桥风致抖振时域分析.西南交通大学硕士学位论文.2009
[22]Scanlan R H.The action of flexible bridges under wind,I:flutter theory[J].J.Sound and Vib.,1978,60(2):187-199.
[23]Jain A,Jones N P, Scanlan R H.Coupled flutter and buffeting analysis of long-span bridges[J].J Struct Engrg ASCE,1996,122(7):716-725.
[24]Scanlan R H.Gade R H.Motion of suspension bridge spans under gusty wind[J].J Struct Engrg Div ASCE,1977,103(9):1867-1883.
[25]R.Kiviluoma.Coupled-mode buffeting and flutter analysis of bridges.Comp-ut. Struct,1998,70:219-228
[26]X.Z.Chen,M.Matsumoto,A.Kareem.Aerodynamic coupling effects on flutter and buffeting of bridges. J.Engng.Mech,2000,126(1):7-16
[27]DAVENPORT A G. The response of slender, line-like structures to a gusty wind. Proc. Inst. of Civil Engineering,1962, 23(4):389-408
[28]A.G DvaenPort Buffeting of a suspension bridge by storm winds [J]. Struct Div., ASCE, 1962,88(3):233 -- 268.
[29]孙刘军、张晋媛、郑史雄.大跨度连续钢桁拱桥拱肋脉动风场模拟.徐州建筑职业技术学院学报.2008
[30]曾宪武、韩大建.大跨度桥梁风致抖振时域分析及在ANSYS中的实现.桥梁建设.2004
[31]李永乐.风-车-桥系统非线性空间耦合振动研究.博士学位论文.西南交通大学,2003
[32]王新敏ANSYS工程结构数值分析。人民交通出版社,2007
[33]李敏娜.多塔斜拉桥抖振及风载内力分析.西南交通大学硕士学位论文。成都：西南交通大学土木工程学院,2010
[34]董军、邓洪州、刘学利.高层建筑的脉动风荷载时程模拟的AR模拟方法.南京建筑工程学院学报.2000
[35]靳欣华、项海帆、陈艾荣.桥梁结构气动导纳研究回顾及其新进展.重庆交通学院学报.2003
[36]李明水、王卫华、陈忻.大跨度桥梁抖振响应研究.流体力学实验与测量.2000
[37]胡亮、李黎、彭元诚、樊剑.大跨桥梁抖振时域分析的程序化方法.中国公路学报.2006
[38]刘志刚、陈艾荣、项海帆.桥梁抖振反应谱分析.土木工程学报.2002
[39]李永乐、周述华、强士中.大跨度斜拉桥三维脉动风场模拟.土木工程学报.2003
[40]杨庆山、谭东耀.随机荷载的空间和时间相关性的统一处理.哈尔滨建筑工程学院学报.1991
[41]Agar T.J.A.The analysis of aerodynamic flutter of suspension bridges.Computers & Structures.Vol 30(3),1988,593-560
[42]CaoY.H.,XiangH.F.,ZhouY.Simulation of stochastic wind velocity field on long-spa-n bridges,2000,126(1):1-6
[43]Rice S O.Mathematic analysis of random noise.Selected papers on noise and stochastic processes,N Wax.ed Dover publish Inc,1954,133-294
[44]N.N.Minth,T.Miyata.H.Yamada,Y.Sanada.Numerical simulation of wind turb-ulence and buffeting analysis of long-span bridges.J.Wind Engneering andIndustrial Aerodynamics,1990,83:301-315
[45]邹小江.斜拉桥风振响应时域分析及静风稳定性研究.博士学位论文.华南理工大学,2003
[46]靳欣华项海帆陈艾荣.平板气动导纳识别理论及测量.同济大学学报.2003
[47]施文杰,大跨度斜拉桥主梁断面气动导纳试验研究,重庆大学硕士学位论文,2009
[48]方安平.Origin7.5科技绘图及数据分析.机械工业出版社,2006
[49]Solari G.Along-wind response estimation:closedform solution.J Struct.Div.1982. 108(ST 1):225-244
[50]Duncan WJ,Ellis D L and Scruton C.ARC R & M1456,Part I,1932
[51]Vellozzi J.,Cohen E.,Gust response factor.Journal of structures division,ASCE, 1968,94:295-313
[2]张相庭.结构风工程.中国建筑工业出版社.2005
[3]M.S.特罗伊茨基.斜拉桥理论与设计.中国铁道出版社.1980
[4]林培元.斜拉桥.人民交通出版社.2004
[5]丁泉顺.大跨度桥梁耦合颤抖振响应分析.同济大学出版社.2007
[6]Lin Y K,Li Q C. New stochastic theory for bridge stability in turbulent flow (J). Journal of Engineering Mechanics, 1993,119(1):113-127.
[7]Q.Ding, P.K.K.Lee and S.H.Lo.Time domain buffeting analysis of suspension bridges subjected to turbulent wind with effective attack angle (J). Journal of Sound and Vrbriation,2000,233(2):311-327.
[8]刘春华,项海帆,顾明.大跨度桥梁抖振响应的空间非线性时程分析方法[J].同济大学学报,1996,24(4)：380-385.
[9]杨咏漪.独塔抖拉桥抖振时变可靠度研究.西南交通大学硕士学位论文,2003
[10]MiyataT,Yamada H,Boonyapinyo V.Analytical Investigation on the Respo-nse of a very long Suspension Bridge Under Gust Wind [A].Proceedings of Ninth international Conference on Wind Engineering[C],1995:-006-1017
[11]Scanlan R H.The action of flexible bridges under wind Ⅱ buffeting theory [J].Sound andVib.,1978,60(2):201 - 211.
[12]陈伟.大跨度桥梁抖振反映谱研究[D].上海：同济大学,1993.
[13]严国敏.现代斜拉桥.西南交通大学出版社.2000
[14]陈政清.桥梁风工程.人民交通出版社.2005.
[15]彭国伦Fortran95程序设计.中国电力出版社.2008
[16]马存明.流线箱型桥梁断面三维气动导纳研究.西南交通大学博士学位论文[17]项海帆、陈伟、顾明.桥梁抖振反应谱的实用计算方法.土木工程学报,1995
[18]Davenport A G. The application of statistical concepts to the wind loading of structures[J].Proc ICE,1961,19:449-472
[19]Davenport A G. Buffeting of a suspension bridge by storm winds[J].J Struct Engrg Div ASCE.1962，88(6):233-264
[20]陈艾荣、艾辉林.计算桥梁空气动力学.人民交通出版社.2010
[21]姚伟.大跨度公铁两用斜拉桥风致抖振时域分析.西南交通大学硕士学位论文.2009
[22]Scanlan R H.The action of flexible bridges under wind,I:flutter theory[J].J.Sound and Vib.,1978,60(2):187-199.
[23]Jain A,Jones N P, Scanlan R H.Coupled flutter and buffeting analysis of long-span bridges[J].J Struct Engrg ASCE,1996,122(7):716-725.
[24]Scanlan R H.Gade R H.Motion of suspension bridge spans under gusty wind[J].J Struct Engrg Div ASCE,1977,103(9):1867-1883.
[25]R.Kiviluoma.Coupled-mode buffeting and flutter analysis of bridges.Comp-ut. Struct,1998,70:219-228
[26]X.Z.Chen,M.Matsumoto,A.Kareem.Aerodynamic coupling effects on flutter and buffeting of bridges. J.Engng.Mech,2000,126(1):7-16
[27]DAVENPORT A G. The response of slender, line-like structures to a gusty wind. Proc. Inst. of Civil Engineering,1962, 23(4):389-408
[28]A.G DvaenPort Buffeting of a suspension bridge by storm winds [J]. Struct Div., ASCE, 1962,88(3):233 -- 268.
[29]孙刘军、张晋媛、郑史雄.大跨度连续钢桁拱桥拱肋脉动风场模拟.徐州建筑职业技术学院学报.2008
[30]曾宪武、韩大建.大跨度桥梁风致抖振时域分析及在ANSYS中的实现.桥梁建设.2004
[31]李永乐.风-车-桥系统非线性空间耦合振动研究.博士学位论文.西南交通大学,2003
[32]王新敏ANSYS工程结构数值分析。人民交通出版社,2007
[33]李敏娜.多塔斜拉桥抖振及风载内力分析.西南交通大学硕士学位论文。成都：西南交通大学土木工程学院,2010
[34]董军、邓洪州、刘学利.高层建筑的脉动风荷载时程模拟的AR模拟方法.南京建筑工程学院学报.2000
[35]靳欣华、项海帆、陈艾荣.桥梁结构气动导纳研究回顾及其新进展.重庆交通学院学报.2003
[36]李明水、王卫华、陈忻.大跨度桥梁抖振响应研究.流体力学实验与测量.2000
[37]胡亮、李黎、彭元诚、樊剑.大跨桥梁抖振时域分析的程序化方法.中国公路学报.2006
[38]刘志刚、陈艾荣、项海帆.桥梁抖振反应谱分析.土木工程学报.2002
[39]李永乐、周述华、强士中.大跨度斜拉桥三维脉动风场模拟.土木工程学报.2003
[40]杨庆山、谭东耀.随机荷载的空间和时间相关性的统一处理.哈尔滨建筑工程学院学报.1991
[41]Agar T.J.A.The analysis of aerodynamic flutter of suspension bridges.Computers & Structures.Vol 30(3),1988,593-560
[42]CaoY.H.,XiangH.F.,ZhouY.Simulation of stochastic wind velocity field on long-spa-n bridges,2000,126(1):1-6
[43]Rice S O.Mathematic analysis of random noise.Selected papers on noise and stochastic processes,N Wax.ed Dover publish Inc,1954,133-294
[44]N.N.Minth,T.Miyata.H.Yamada,Y.Sanada.Numerical simulation of wind turb-ulence and buffeting analysis of long-span bridges.J.Wind Engneering andIndustrial Aerodynamics,1990,83:301-315
[45]邹小江.斜拉桥风振响应时域分析及静风稳定性研究.博士学位论文.华南理工大学,2003
[46]靳欣华项海帆陈艾荣.平板气动导纳识别理论及测量.同济大学学报.2003
[47]施文杰,大跨度斜拉桥主梁断面气动导纳试验研究,重庆大学硕士学位论文,2009
[48]方安平.Origin7.5科技绘图及数据分析.机械工业出版社,2006
[49]Solari G.Along-wind response estimation:closedform solution.J Struct.Div.1982. 108(ST 1):225-244
[50]Duncan WJ,Ellis D L and Scruton C.ARC R & M1456,Part I,1932
[51]Vellozzi J.,Cohen E.,Gust response factor.Journal of structures division,ASCE, 1968,94:295-313