有无横隔板曲线梁桥车桥耦合振动的响应分析
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摘要
为研究横隔板对曲线梁桥车桥耦合振动的影响,以曲率半径250 m的三跨连续单箱双室曲线梁桥为研究对象,建立其COMSOL有限元模型和车辆移动系统模型。首先分析横隔板对曲线梁桥振型和固有频率的影响,然后利用COMSOL和MATLAB全过程分离迭代法计算程序,对C级不平度路面下有、无横隔板的曲线梁桥进行动力学响应对比研究。结果表明:横隔板可使曲线梁桥各阶固有频率变低,尤其对竖向弯曲振动的影响较为明显;动载作用下,横隔板在一定程度上能够减小各跨跨中竖向位移的冲击系数和扭转角,同时能有效降低边跨跨中应力,使曲线梁桥更加稳定。研究结果可为新建曲线梁桥的结构改进以及桥梁的维修与加固提供初步理论依据。
In order to study diaphragm on the coupling vibration of vehicle-curved bridge system,a finite element model of the bridge and the model of the vehicle moving system were established based on the three-span continuous girder curve bridg. Its cross-section was double-room single box with curvature radius of 250 m. The influence of diaphragm on the mode shape and natural frequency of the bridge was analyzed. Iterative algorithm procedure was used by COMSOL and MATLAB. Dynamic response curve bridge with or without the diaphragm was compared under C-level roughness. The results showed that the natural frequency of each order is reduced due to the diaphragm,particularly for the effect of vertical bending vibration. Under dynamic load,vertical displacement and the torsion angle in each span were reduced due to the diaphragm. The stress in side span was greatly reduced which made the curved bridge more stable. This study provided initial theoretical basis for the structural improvement of new curved bridges,repair and reinforcement of damaged bridges.
In order to study diaphragm on the coupling vibration of vehicle-curved bridge system,a finite element model of the bridge and the model of the vehicle moving system were established based on the three-span continuous girder curve bridg. Its cross-section was double-room single box with curvature radius of 250 m. The influence of diaphragm on the mode shape and natural frequency of the bridge was analyzed. Iterative algorithm procedure was used by COMSOL and MATLAB. Dynamic response curve bridge with or without the diaphragm was compared under C-level roughness. The results showed that the natural frequency of each order is reduced due to the diaphragm,particularly for the effect of vertical bending vibration. Under dynamic load,vertical displacement and the torsion angle in each span were reduced due to the diaphragm. The stress in side span was greatly reduced which made the curved bridge more stable. This study provided initial theoretical basis for the structural improvement of new curved bridges,repair and reinforcement of damaged bridges.
引文
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[14]桂水荣,陈水生,赵辉,等.基于LS-DYNA公路桥梁车桥耦合振动模型[J].公路交通科技,2013,30(7):40-45.GUI S R,CHEN S S,ZHAO H,et al. Model of gighway bridge subjected to vehicle-bridge coupled vibration based on LS-DYNA[J]. Journal of Highway and Transportation Research and Development,2013,30(7):40-45.
[15]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会. GB/7031—2005机械振动道路路面谱测量数据报告[S].北京:中国标准出版社,2006.GENERAL ADMINISTRATION OF QUALITY SUPERVISION,INSPECTION AND QUARANTINE OF THE PEOPLE’S REPUBLIC OF CHINA,STANDARDIZATION ADMINISTRATION OF THE PEOPLE’S REPUBLIC OF CHINA. GB/7031—2005 Mechanical vibration-road surface profiles-reporting of measured data[S]. Beijing:Standards Press of China,2006.
[16]中华人民共和国交通运输部. JTG D60—2015公路桥涵设计通用规范[S].北京:人民交通出版社,2015.MINISTRY OF TRANSPORT OF THE PEOPLE’S REPUBLIC OF CHINA. JTG D60—2015 General specifications for design of highway bridges and culverts[S].Beijing:China Communications Press,2015.
[17]施颖,田清勇,宋一凡,等.基于ANSYS的公路桥梁车桥耦合振动响应数值分析方法[J].公路,2010(3):66-70.SHI Y,TIAN Q Y,SONG Y F,et al. Numerical analysis method of coupling vibration response of highway bridge based on ANSYS[J]. Highway,2010(3):66-70.
[18]黄新艺,陈彦江,李岩,等.曲率半径对曲线箱梁桥车辆荷载作用下冲击效应的影响[J].振动与冲击,2010,29(1):38-42.HUANG X Y,CHEN Y J,LI Y,et al. Influence of curvature radius on impact effect of curved box girder bridge under vehicle load[J]. Journal of Vibration and Shock,2010,29(1):38-42.
[19]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会. GB/7031—2005机械振动道路路面谱测量数据报告[S].北京:中国标准出版社,2006.GENERAL ADMINISTRATION OF QUALITY SUPERVISION,INSPECTION AND QUARANTINE OF THE PEOPLE’S REPUBLIC OF CHINA. STANDARDIZATION ADMINISTRATION OF THE PEOPLE’S REPUBLIC OF CHINA. GB/7031—2005 Mechanical vibration-road surface profiles-reporting of measured data[S]. Beijing:Standards Press of China,2006.
[20]中华人民共和国交通运输部. JTG D60—2015公路桥涵设计通用规范[S].北京:人民交通出版社,2015.Ministry of Transport of the People's Republic of China.JTG D60—2015 General dpecifications for fesign of highway bridges and culverts[S]. Beijing:China Communications Press,2015.
[21]施颖,田清勇,宋一凡,等.基于ANSYS的公路桥梁车桥耦合振动响应数值分析方法[J].公路,2010(3):66-70.SHI Y,TIAN Q Y,SONG Y F,et al. Numerical analysis method of coupling vibration response of highway bridge based on ANSYS[J]. Highway,2010(3):66-70.
[2] JU S H,LIN H T. A finite element model of vehiclebridge interaction considering braking and acceleration[J]. Journal of Sound&Vibration,2007,303(1-2):46-57.
[3]刘永健,刘世忠,米静,等.双层公路钢桁梁桥车桥耦合振动[J].交通运输工程学报,2012,12(6):20-27.LIU Y J,LIU S Z,MI J,et al. Vehicle-bridge coupled vibration of highway double-deck steel truss bridge[J]. Journal of Traffic and Transportation Engineering,2012,12(6):20-27.
[4]周新平,宋一凡,贺拴海.公路曲线梁桥车桥耦合振动数值分析[J].长安大学学报(自然科学版),2009,29(6):41-46.ZHOU X P,SONG Y F,HE S H. Numerical analysis for coupled vibration of vehicle-bridge on highway curvedbridge[J]. Journal of Chang an University(Natur al Science Edition),2009,29(6):41-46.
[5]黄新艺,卓卫东,盛洪飞.车辆偏心行驶对曲线梁桥车桥耦合振动的影响[J].武汉理工大学学报,2010,32(9):318-322.HUANG X Y,ZHUO W D,SHENG H F. Vehicle moving eccentricity effect on vehicle-bridge coupled vibration of curved bridges[J]. Journal of Wuhan University of Technology,2010,32(9):318-322.
[6]宋郁民,吴定俊,李奇.小半径曲线上长大桥梁车桥耦合振动分析[J].力学季刊,2013,34(2):240-245.SONG Y M,WU D J,LI Q. Coupling vibration analysis of train curving multi-span bridges on small radius curve[J]. Chinese quarterly of mechanics,2013,34(2):240-245.
[7]连军,贾磊,郝宪武,等.横隔板设置对薄壁钢箱梁畸变效应影响研究[J].交通标准化,2007(11):202-207.LIAN J,JIA L,HAO X W,et al. The influence of transverse diaphragm design on the distortion of thin-wall steel box girder[J]. Communications Standardization,2007(11):202-207.
[8]刘小渝,孙童龄.横隔板对钢箱梁受力畸变的分析[J].重庆交通大学学报(自然科学版),2007,26(5):9-12.LIU X Y,SUN T L. Effect of diaphragm on distortion of steel box girder[J]. Journal of Chongqing Jiaotong University(Natural Science),2007,26(5):9-12.
[9]郑和晖,刘钊,贺志启.混凝土箱梁桥的横隔板拉压杆模型及配筋设计[J].工程力学,2011,28(5):97-104.ZHENG H H,LIU Z H,HE Z Q. Strut-and-tie models for diaphragms of concrete box-girder bridges and reinforcement design[J]. Engineering Mechanics,2011,28(5):97-104.
[10]龚耀清,曹海.单箱三室箱梁动力特性分析[J].河南理工大学学报(自然科学版),2017,36(2):128-134.GONG Y Q,CAO H. The dynamic-property analysis of single-box three-cell girder[J]. Journal of Henan polytechnic University(Natural Science),2017,36(2):128-134.
[11]郑尚敏,万水,程海根.单箱多室波形钢腹板组合箱梁动力特性研究[J].铁道工程学报,2017,34(9):41-46.ZHENG S M,WAN S,CHENG H G. Research on the dynamic characteristics of multi-room single box composite girder with corrugated steel webs[J]. Journal of railway engineering society,2017,34(9):41-46.
[12]滕乐,郑凯锋,吴涤,等.单箱双室波形钢腹板连续刚构桥横隔板间距研究[J].铁道建筑,2017,57(10):1-5.TENG L,ZHENG K F,WU D,et al. Study on diaphragm spacing of single rigid double rows corrugated steel web continuous rigid frame bridge[J]. Railway Engineering,2017,57(10):1-5.
[13]王帆,吴红林.横梁效应对车-桥耦合振动的影响研究[J].重庆交通大学学报(自然科学版),2017,36(4):7-11.WANG F,WU H L. Influence of crossbeam effect on vehicle-bridge coupled vibration[J]. Journal of Chongqing Jiaotong University(Natural Science),2017,36(4):7-11.
[14]桂水荣,陈水生,赵辉,等.基于LS-DYNA公路桥梁车桥耦合振动模型[J].公路交通科技,2013,30(7):40-45.GUI S R,CHEN S S,ZHAO H,et al. Model of gighway bridge subjected to vehicle-bridge coupled vibration based on LS-DYNA[J]. Journal of Highway and Transportation Research and Development,2013,30(7):40-45.
[15]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会. GB/7031—2005机械振动道路路面谱测量数据报告[S].北京:中国标准出版社,2006.GENERAL ADMINISTRATION OF QUALITY SUPERVISION,INSPECTION AND QUARANTINE OF THE PEOPLE’S REPUBLIC OF CHINA,STANDARDIZATION ADMINISTRATION OF THE PEOPLE’S REPUBLIC OF CHINA. GB/7031—2005 Mechanical vibration-road surface profiles-reporting of measured data[S]. Beijing:Standards Press of China,2006.
[16]中华人民共和国交通运输部. JTG D60—2015公路桥涵设计通用规范[S].北京:人民交通出版社,2015.MINISTRY OF TRANSPORT OF THE PEOPLE’S REPUBLIC OF CHINA. JTG D60—2015 General specifications for design of highway bridges and culverts[S].Beijing:China Communications Press,2015.
[17]施颖,田清勇,宋一凡,等.基于ANSYS的公路桥梁车桥耦合振动响应数值分析方法[J].公路,2010(3):66-70.SHI Y,TIAN Q Y,SONG Y F,et al. Numerical analysis method of coupling vibration response of highway bridge based on ANSYS[J]. Highway,2010(3):66-70.
[18]黄新艺,陈彦江,李岩,等.曲率半径对曲线箱梁桥车辆荷载作用下冲击效应的影响[J].振动与冲击,2010,29(1):38-42.HUANG X Y,CHEN Y J,LI Y,et al. Influence of curvature radius on impact effect of curved box girder bridge under vehicle load[J]. Journal of Vibration and Shock,2010,29(1):38-42.
[19]中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会. GB/7031—2005机械振动道路路面谱测量数据报告[S].北京:中国标准出版社,2006.GENERAL ADMINISTRATION OF QUALITY SUPERVISION,INSPECTION AND QUARANTINE OF THE PEOPLE’S REPUBLIC OF CHINA. STANDARDIZATION ADMINISTRATION OF THE PEOPLE’S REPUBLIC OF CHINA. GB/7031—2005 Mechanical vibration-road surface profiles-reporting of measured data[S]. Beijing:Standards Press of China,2006.
[20]中华人民共和国交通运输部. JTG D60—2015公路桥涵设计通用规范[S].北京:人民交通出版社,2015.Ministry of Transport of the People's Republic of China.JTG D60—2015 General dpecifications for fesign of highway bridges and culverts[S]. Beijing:China Communications Press,2015.
[21]施颖,田清勇,宋一凡,等.基于ANSYS的公路桥梁车桥耦合振动响应数值分析方法[J].公路,2010(3):66-70.SHI Y,TIAN Q Y,SONG Y F,et al. Numerical analysis method of coupling vibration response of highway bridge based on ANSYS[J]. Highway,2010(3):66-70.