公路曲线梁桥车桥耦合振动数值分析
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摘要
分别应用广义虚功原理和有限元法建立车辆和桥梁的振动方程,根据车-桥两系统之间随时间变化的接触点满足接触力和位移的协调条件,应用通用结构分析软件ANSYS建立车桥耦合振动响应的有限元迭代分析模型,并进行数值求解。以一座公路曲线梁桥为例,分别进行了不同车速和是否计入离心力、桥面不平整度等条件下的车桥耦合振动响应分析。结果表明:离心力对桥梁竖向动态响应影响不大,但使桥梁扭转角动态响应加剧;随着车辆速度的增加,振动响应波动的幅值越来越大,频率越来越低,周期变长;桥面不平整度对桥梁的车桥耦合振动影响很大,分析中应予以考虑。
The dynamic equations of vehicles and bridges are deduced with virtual work principle and finite element method.With the general software ANSYS,this paper studies a finite element iterative method of vehicle-bridge coupled system based on contact point meeting contact force and the compatibility conditions of displacement between the bridge and vehicle.The coupled vibration of vehicle-bridge is analyzed based on conditions of different vehicle speed and centrifugal force and unevenness of deck with the example of a highway curved-bridge.The result verifies that: centrifugal force has little influence on vertical dynamic response,but strengthen dynamic response of bridge torsion angle;with vehicle speed increasing,the amplitude of vibration is higher and higher,the frequency is lower and lower,and the period is getting longer;the unevenness of deck should be considered in analyzing its great influence on coupled vibration of vehicle-bridge.2 tabs,11 figs,18 refs.
The dynamic equations of vehicles and bridges are deduced with virtual work principle and finite element method.With the general software ANSYS,this paper studies a finite element iterative method of vehicle-bridge coupled system based on contact point meeting contact force and the compatibility conditions of displacement between the bridge and vehicle.The coupled vibration of vehicle-bridge is analyzed based on conditions of different vehicle speed and centrifugal force and unevenness of deck with the example of a highway curved-bridge.The result verifies that: centrifugal force has little influence on vertical dynamic response,but strengthen dynamic response of bridge torsion angle;with vehicle speed increasing,the amplitude of vibration is higher and higher,the frequency is lower and lower,and the period is getting longer;the unevenness of deck should be considered in analyzing its great influence on coupled vibration of vehicle-bridge.2 tabs,11 figs,18 refs.
引文
[1]袁明,余钱华,颜东煌.基于车-桥系统耦合振动理论的大跨PC连续刚构桥冲击系数研究[J].中国公路学报,2008,21(1):72-76.YUAN Ming,YU Qian-hua,YAN Dong-huang.Re-search on impact coefficient for PC continuous rigidframe bridges with long-span under theory of vehicle-bridge system coupling vibration[J].China Journal ofHighway and Transport,2008,21(1):72-76.
[2]刘华,叶见曙,张涛.连续梁在行驶车辆作用下的动态反应[J].交通运输工程学报,2006,6(2):26-29.LIU Hua,YE Jian-shu,ZHANG Tao.Dynamic re-sponse of continuous girder bridge under moving ve-hicular loads[J].Journal of Traffic and Transporta-tion Engineering,2006,6(2):26-29.
[3]曹雪琴.桥梁结构动力分析[M].北京:中国铁道出版社,1987.
[4]邵容光,夏淦.混凝土弯梁桥[M].北京:人民交通出版社,1996.
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[6]王树栋,卜建清,娄国充.基于过桥汽车动力响应的桥梁损伤识别[J].长安大学学报:自然科学版,2008,28(3):63-67,100.WANG Shu-dong,BU Jian-qing,LOU Guo-chong.Bridge damage identification by dynamic response ofpassing vehicle[J].Journal of Chang an University:Natural Science Edition,2008,28(3):63-67,100.
[7]曾庆元.列车桥梁时变系统振动分析理论与应用[M].北京:中国铁道出版社,1999.
[8]Henchi K,Fafard M,Talbot M,et al.An efficient al-gorithm for dynamic analysis of bridge under movingvehicles using a coupled modal and physical compo-nents approach[J].Journal of Sound and Vibration,1998,212(4):663-683.
[9]Huang D Z.Dynamic analysis of steel curved boxgirder bridges[J].Journal of Bridge Engineering,2001,6(6):506-513.
[10]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002.
[11]GB/T7031—1986,车辆振动输入与路面平度表示方法[S].
[12]金睿臣,宋键.路面不平度的模拟与汽车非线性随机振动的研究[J].清华大学学报:自然科学版,1999,39(8):76-79.JIN Rui-chen,SONG Jian.Simulation of the road ir-regularity and study of nonlinear random vibration ofthe automobile[J].Journal of Tsinghua University:Science and Technology,1999,39(8):76-79.
[13]余志生.汽车理论[M].北京:机械工业出版社,2001.
[14]刘献栋,邓志党,高峰.公路路面不平度的数值模拟方法研究[J].北京航空航天大学学报,2003,29(9):843-846.LIU Xian-dong,DENG Zhi-dang,GAO Feng.Re-search on the method of simulating road roughnessnumerically[J].Journal of Beijing University of Aero-nautics and Astronautics,2003,29(9):843-846.
[15]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.SONG Yi-fan,CHEN Rong-feng.Analysis method ofvehicle vibration response caused by pavement rough-ness[J].Journal of Traffic and Transportation Engi-neering,2007,7(4):39-43.
[16]王钧利,贺拴海.高墩大跨径连续刚构弯桥全过程非线性稳定分析[J].长安大学学报:自然科学版,2008,28(3):49-52.WANG Jun-li,HE Shuan-hai.Nonlinear stability oflong-span curve rigid bridge with high piers in wholeprocess[J].Journal of Chang an University:NaturalScience Edition,2008,28(3):49-52.
[17]周敉,王君杰,袁万城.自锚式悬索桥地震反应有限元分析[J].长安大学学报:自然科学版,2008,28(1):66-71.ZHOU Mi,WANG Jun-jie,YUAN Wan-cheng.Seis-mic response analysis and simulation of self-anchoredsuspension bridge based on ANSYS[J].Journal ofChang an University:Natural Science Edition,2008,28(1):66-71.
[18]雷自学,晏兴威,高林.剪力钉刚度对曲线钢-混凝土箱形结合梁桥结构性能的影响[J].建筑科学与工程学报,2008,25(2):96-100.LEI Zi-xue,YAN Xing-wei,GAO Lin.Effect of stiff-ness of shear studs on structural behavior of curvedsteel-concrete composite box girde bridges[J].Journalof Architecture and Civil Engineering,2008,25(2):96-100.
[2]刘华,叶见曙,张涛.连续梁在行驶车辆作用下的动态反应[J].交通运输工程学报,2006,6(2):26-29.LIU Hua,YE Jian-shu,ZHANG Tao.Dynamic re-sponse of continuous girder bridge under moving ve-hicular loads[J].Journal of Traffic and Transporta-tion Engineering,2006,6(2):26-29.
[3]曹雪琴.桥梁结构动力分析[M].北京:中国铁道出版社,1987.
[4]邵容光,夏淦.混凝土弯梁桥[M].北京:人民交通出版社,1996.
[5]王元丰,Wilson J F.多跨连续曲线梁在移动荷载下的动力响应[J].土木工程学报,1999,32(4):33-36.WANG Yuan-feng,Wilson J F.Dynamic response ofmultiple span continuous curved beams under movingloads[J].China Civil Engineering Journal,1999,32(4):33-36.
[6]王树栋,卜建清,娄国充.基于过桥汽车动力响应的桥梁损伤识别[J].长安大学学报:自然科学版,2008,28(3):63-67,100.WANG Shu-dong,BU Jian-qing,LOU Guo-chong.Bridge damage identification by dynamic response ofpassing vehicle[J].Journal of Chang an University:Natural Science Edition,2008,28(3):63-67,100.
[7]曾庆元.列车桥梁时变系统振动分析理论与应用[M].北京:中国铁道出版社,1999.
[8]Henchi K,Fafard M,Talbot M,et al.An efficient al-gorithm for dynamic analysis of bridge under movingvehicles using a coupled modal and physical compo-nents approach[J].Journal of Sound and Vibration,1998,212(4):663-683.
[9]Huang D Z.Dynamic analysis of steel curved boxgirder bridges[J].Journal of Bridge Engineering,2001,6(6):506-513.
[10]夏禾.车辆与结构动力相互作用[M].北京:科学出版社,2002.
[11]GB/T7031—1986,车辆振动输入与路面平度表示方法[S].
[12]金睿臣,宋键.路面不平度的模拟与汽车非线性随机振动的研究[J].清华大学学报:自然科学版,1999,39(8):76-79.JIN Rui-chen,SONG Jian.Simulation of the road ir-regularity and study of nonlinear random vibration ofthe automobile[J].Journal of Tsinghua University:Science and Technology,1999,39(8):76-79.
[13]余志生.汽车理论[M].北京:机械工业出版社,2001.
[14]刘献栋,邓志党,高峰.公路路面不平度的数值模拟方法研究[J].北京航空航天大学学报,2003,29(9):843-846.LIU Xian-dong,DENG Zhi-dang,GAO Feng.Re-search on the method of simulating road roughnessnumerically[J].Journal of Beijing University of Aero-nautics and Astronautics,2003,29(9):843-846.
[15]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.SONG Yi-fan,CHEN Rong-feng.Analysis method ofvehicle vibration response caused by pavement rough-ness[J].Journal of Traffic and Transportation Engi-neering,2007,7(4):39-43.
[16]王钧利,贺拴海.高墩大跨径连续刚构弯桥全过程非线性稳定分析[J].长安大学学报:自然科学版,2008,28(3):49-52.WANG Jun-li,HE Shuan-hai.Nonlinear stability oflong-span curve rigid bridge with high piers in wholeprocess[J].Journal of Chang an University:NaturalScience Edition,2008,28(3):49-52.
[17]周敉,王君杰,袁万城.自锚式悬索桥地震反应有限元分析[J].长安大学学报:自然科学版,2008,28(1):66-71.ZHOU Mi,WANG Jun-jie,YUAN Wan-cheng.Seis-mic response analysis and simulation of self-anchoredsuspension bridge based on ANSYS[J].Journal ofChang an University:Natural Science Edition,2008,28(1):66-71.
[18]雷自学,晏兴威,高林.剪力钉刚度对曲线钢-混凝土箱形结合梁桥结构性能的影响[J].建筑科学与工程学报,2008,25(2):96-100.LEI Zi-xue,YAN Xing-wei,GAO Lin.Effect of stiff-ness of shear studs on structural behavior of curvedsteel-concrete composite box girde bridges[J].Journalof Architecture and Civil Engineering,2008,25(2):96-100.
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