列车-桥梁耦合振动研究综述
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摘要
针对列车--桥梁耦合振动问题,从模型分类与建立、轮轨接触、数值计算、工程应用等4个方面综述了20世纪60年代至今,特别是近20年以来的研究进展,总结了已经取得的成就与结论.并指出建立更加精细合理、运算效率高的列车--桥梁耦合振动模型,综合考虑整个体系中的各种因素,更系统地分析车、桥相互作用的影响关系,将成为列车--桥梁耦合振动研究的必然趋势.
The studies about vehicle-bridge coupling vibration have been summarized, especially those in the last 20 years. Some results and conclusions were obtained in the following four aspects: vehicle-bridge modeling, wheel-rail contact relationship, numerical calculations and engineering applications. It is an inevitable trend to establish more refined and efficient vehicle-bridge coupling vibration model, to incorporate more factors as a whole, and to analyze comprehensively the interaction effects of vehicle and bridge.
The studies about vehicle-bridge coupling vibration have been summarized, especially those in the last 20 years. Some results and conclusions were obtained in the following four aspects: vehicle-bridge modeling, wheel-rail contact relationship, numerical calculations and engineering applications. It is an inevitable trend to establish more refined and efficient vehicle-bridge coupling vibration model, to incorporate more factors as a whole, and to analyze comprehensively the interaction effects of vehicle and bridge.
引文
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2Brady S P,O’Brien E J,ˇZnidariˇc A.Effect of velocity on the dynamic amplification of a vehicle crossing a simply supported bridge.Journal of Bridge Engineering,2006,11(2):241-249
3Zhu X Q,Law S S.Identification of moving interaction force with incomplete velocity information.Mechanical Systems and Signal Processing,2003,17(6):1349-1366
4Akin J E,Mofid M.Numerical solution for response of beams with moving mass.Journal of Structural Engi-neering,1989,115(1):120-131
5Yang Y B,Lin C W.Vehicle-bridge interaction dynamic and potential application.Journal of Sound and Vibra-tion,2005,284(1-2):205-226
6Yang Y B,Lin C W,Yau J D.Extracting bridge fre-quencies from the dynamic response of a passing vehicle.Journal of Sound and Vibration,2004,272(3-5):471-493
7Cheng Y S,Au F T K,Cheung Y K,et al.On the sep-aration between moving vehicles and bridges.Journal of Sound and Vibration,1999,222(5):781-801
8Zhang Q L,Vrouwenvelder A,Wardeniner J.Numerical simulation of train-bridge interactive dynamics.Com-putes and Structures,2001,79(10):1059-1075
9Xia H,De-Roeck G,Zhang H R,et al.Dynamic analysis of train-bridge system and its application in steel girder reinforcement.Computes and Structures,2001,79(21):1851-1860
10Wu Y S,Yang Y B,Yau J D.Three-dimensional analysis of train-rail-bridge interaction problems.Vehicle System Dynamic,2001,36(1):1-35
11Lee C H,Kawatani M,Kim C W,et al.Dynamic response of a monorail steel bridge under a moving train.Journal of Sound and Vibration,2006,294(3):562-579
12张楠,夏禾,郭薇薇,等.京沪高速铁路南京大胜关长江大桥风-车--桥耦合振动分析.中国铁道科学,2009,30(1):41-48
13Lee S Y,Cheng Y C.A new dynamic model of high-speed railway vehicle moving on curved tracks.Journal of Vi-bration and Acoustics,2008,130(1):011009-1-011009-10
14Chu K H,Garg V K,Dhar C L.Railway–bridge impact:Simplified train and bridge model.Journal of the Struc-tural Division,1979,105(9):1823-1844
15Chu K H,Garg V K,Wiriyachai A.Dynamic interaction of railway train and bridges.Vehicle System Dynamics,1980,9(4):207-236
16Wiriyachai A,Chu K H,Garg V K.Bridge impact due to wheel and track irregularities.Journal of Engineering Mechanics Division,1982,108(4):648-666
17Chu K H,Garg V K,Wang T L.Impact in railway pre-stressed concrete bridges.Journal of Structural Engineer-ing,1986,112(5):1036-1051
18Lou P.A vehicle-track-bridge interaction element consid-ering vehicle pitching effect.Finite Elements in Analysis and Design,2005,41(4):397-427
19宋国华,高芒芒,黎国清.桥梁墩台不均匀沉降时的车桥垂向系统耦合振动分析.中国铁道科学,2010,31(2):29-33
20Liu K,De-Roeck G,Lombaert G.The effect of dynamic train-bridge interaction on the bridge response during a train passage.Journal of Sound and Vibration,2009,325(1-2):240-251
21Vu-Quoc L,Olsson M.Formulation of a basic building block model for interaction of high speed vehicles on flex-ible structures.Journal of Applied Mechanics,1989,56:451-458
22Vu-Quoc L,Olsson M.High-speed vehicle models based on a new concept of vehicle/structure interaction compo-nent:Part1-formulation.Journal of Dynamic Systems,Measurement,and Control,1993,115:140-147
23Vu-Quoc L,Olsson M.High-speed vehicle models based on a new concept of vehicle/structure interaction component:Part2:Algorithmic treatment and results for multi-span guideways.Journal of Dynamic Systems,Measurement,and Control,1993,115:148-155
24Olsson M.Finite element modal co-ordinate analysis of structures subjected to moving loads.Journal of Sound and Vibration,1985,99(1):1-12
25Vu-Quoc L,Olsson M.A computational procedure for in-teraction of high-speed vehicles on flexible structures with-out assuming known vehicle nominal motion.Computer Methods in Applied Mechanics and Engineering,1989,76:207-244
26张卫华.机车车辆运行动态模拟研究.成都:西南交通大学出版社,1999.76-77
27Tanabe M,Yamada Y,Wakui H.Modal method for in-teraction of train and bridge.Computer and Structures,1987,27(1):119-127
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29Majka M,Hartnett M.Effects of speed,load and damping on the dynamic response of railway bridges and vehicles.Computers and Structures,2008,86(6):556-572
30Majka M,Hartnett M.Dynamic response of bridges to moving trains:A study on effects of random track irregu-larities and bridge skewness.Computers and Structures,2009,87(19-20):1233-1252
31Zhang N,Xia H,Guo W W.Vehicle-bridge interaction analysis under high-speed trains.Journal of Sound and Vibration,2008,309(3-5):407-425
32Wang T L,Garg V K,Chu K H.Railway bridge/vehicle interaction studies with new vehicle mode.Journal of Structural Engineering,1991,117(7):2099-2116
33王荣辉,郭向荣,曾庆元.高速列车--钢桁梁桥系统横向振动随机分析.铁道学报,1996,18(1):90-95
34陈淮,郭向荣,曾庆元.大跨度斜拉桥动力特性分析.计算力学学报,1997,14(1):57-63
35翟婉明.车辆--轨道耦合动力学.第3版.北京:科学出版社,2007.38-48
36Xia H,De-Roeck G,Zhang N,et al.Experimental anal-ysis of a high-speed railway bridge under Thalys trains.Journal of Sound and Vibration,2003,268(1):103-113
37Kaliyaperumal G,Imam B,Righiniotis T.Advanced dy-namic finite element analysis of a skew steel railway bridge.Engineering Structures,2011,33(1):181-190
38Yau J D,Yang Y B.Vibration reduction for cable-stayed bridges traveled by high-speed trains.Finite Elements in Analysis and Design,2004,40(3):341-359
39Li Y L,Qiang S Z,Liao H L,et al.Dynamics of wind-rail vehicle-bridge systems.Journal of Wind Engineering and Industrial Aerodynamics,2005,93(6):483-507
40任伟新,彭雪林.青洲斜拉桥的基准动力有限元模型.计算力学学报,2007,24(5):609-614
41曾庆元,填志奇,杨毅,等.桁梁行车空间振动计算的桁段有限元法.桥梁建设,1985,4:1-16
42Rebelo C,Simo es da Silva L,Rigueiro C,et al.Dynamic behaviour of twin single-span ballasted railway viaducts-field measurements and modal identification.Engineering Structures,2008,30(9):2460-2469
43Liu K,Reynders E,De-Roeck G,el at.Experimental and numerical analysis of a composite bridge for high-speed trains.Journal of Sound and Vibration,2009,320(1-2):20-220
44肖祥,任伟新.基于桥梁基准有限元模型的列车--桥梁空间耦合振动分析.中国铁道科学,2011,32(2):41-47
45朱安文,曲广吉.结构动力模型修正技术的发展.力学进展,2002,32(3):337-348
46Shabana A A,Berzeri M,Sany J R.Numerical procedure for the simulation of wheel/rail contact dynamics.Journal of Dynamic Systems,Measurement,and Control,2001,123(2):168–178
47Shabana A A,Zaazaa K E,Escalona J L,et al.Devel-opment of elastic force model for wheel/rail contact prob-lems.Journal of Sound and Vibration,2004,269(1):295-325
48肖祥.车--桥(线)耦合空间振动分析与应用:[博士论文].长沙:中南大学,2011.76-77
49de Pater A D.The Geometrical contact between track and wheelset.Vehicle System Dynamics,1988,17(3):127-140
50Pombo J,Ambro′sio J,Miguel S.A new wheel-rail contact model for railway dynamics.Vehicle System Dynamics,2007,45(2):165-189
51Pombo J,Ambro′sio J.Dynamic analysis of a railway ve-hicle in real operation conditions using a new wheel-rail contact detection model.Vehicle Systems Modeling and Testing,2005,1(1-3):79-105
52Falomi S,Malvezzi M,Meli E,et al.Determination of wheel-rail contact points:Comparison between classical and neural network based procedures.Physics and As-tronomy Meccanica,2009,44(6):661-686
53金学松,沈志云.轮轨滚动接触力学的发展.力学进展,2001,31(1):33-46
54Kalker J J.Wheel-rail rolling contact theory.Journal of Wear,1991,144(1-2):243-261
55Kalker J J.Book of tables for the hertzian creep-force law.In:Report of the Faculty of Technical Mathematics and Informatics,1996.96-61
56Kalker J J.A fast algorithm for the simplified theory of rolling-contact.Vehicle System Dynamics,1982,11(1):1-13
57Shen Z Y,Hedrick J K,Elkins J A.A comparison of alter-native creep force models for rail vehicle dynamic analysis.Vehicle System Dynamics,1983,12(1-3):591–605.
58Polach O.Creep forces in simulations of traction vehicles running on adhesion limit.Contact Mechanics and Wear of Rail/Wheel Systems,2005,258(7-8):992-1000
59Matsumoto A,Sato Y,Nakata M,et al.Wheel-rail con-tact mechanics at full scale on the test stand.Wear,1996,191(1-2):101-106
60Matsumoto A,Sato Y,Ohno H,et al.A new measuring method of wheel-rail contact forces and related consider-ations.Wear,2008,265(9-10):1518-1525
61张卫华,金学松,薛弼一.单轮对试验台及轮轨蠕滑力计算模型的验证.铁道车辆,1997,35(5):l-4
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79李永乐,强士中,廖海黎.风--车--桥系统空间耦合振动研究.土木工程学报,2005,38(7):61-64
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83Yang Y B,Lin C W,Yan J D.Extracting the bridge fre-quencies from the dynamic response of a passing vehicle.Journal of Sound and Vibration,2004,272(3-5):471-493
84Lin C W,Yang Y B.Use of a passing vehicle to scan the fundamental bridge frequencies:An experimental verifi-cation.Engineering Structures,2005,27(13):1865-1878
85Zhu X Q,Law S S.Identification of vehicle axle loads from bridge dynamic responses.Journal of Sound and Vibra-tion,2000,236(4):705-724
86Zhu X Q,Law S S.Moving forces identification on a multi-span continuous bridge.Journal of Sound and Vibration,1999,228(2):377-396
87Zhu X Q,Law S S.Practical aspects in moving load iden-tification.Journal of Sound and Vibration,2002,258(1):123-146
88Zhu X Q,Law S S.Dynamic axle and wheel loads iden-tification:Laboratory studies.Journal of Sound and Vi-bration,2003,268(5):855-879
89Zhu X Q,Law S S.Damage detection in simply supported concrete bridge structure under moving vehicular loads.Journal of Vibration and Acoustics,2007,129(1):58-65
90Kim B H,Lee J,Lee D H.Extracting modal parameters of high-speed railway bridge using the TDD technique.Mechanical Systems and Signal Processing,2010,24(3):702-720
2Brady S P,O’Brien E J,ˇZnidariˇc A.Effect of velocity on the dynamic amplification of a vehicle crossing a simply supported bridge.Journal of Bridge Engineering,2006,11(2):241-249
3Zhu X Q,Law S S.Identification of moving interaction force with incomplete velocity information.Mechanical Systems and Signal Processing,2003,17(6):1349-1366
4Akin J E,Mofid M.Numerical solution for response of beams with moving mass.Journal of Structural Engi-neering,1989,115(1):120-131
5Yang Y B,Lin C W.Vehicle-bridge interaction dynamic and potential application.Journal of Sound and Vibra-tion,2005,284(1-2):205-226
6Yang Y B,Lin C W,Yau J D.Extracting bridge fre-quencies from the dynamic response of a passing vehicle.Journal of Sound and Vibration,2004,272(3-5):471-493
7Cheng Y S,Au F T K,Cheung Y K,et al.On the sep-aration between moving vehicles and bridges.Journal of Sound and Vibration,1999,222(5):781-801
8Zhang Q L,Vrouwenvelder A,Wardeniner J.Numerical simulation of train-bridge interactive dynamics.Com-putes and Structures,2001,79(10):1059-1075
9Xia H,De-Roeck G,Zhang H R,et al.Dynamic analysis of train-bridge system and its application in steel girder reinforcement.Computes and Structures,2001,79(21):1851-1860
10Wu Y S,Yang Y B,Yau J D.Three-dimensional analysis of train-rail-bridge interaction problems.Vehicle System Dynamic,2001,36(1):1-35
11Lee C H,Kawatani M,Kim C W,et al.Dynamic response of a monorail steel bridge under a moving train.Journal of Sound and Vibration,2006,294(3):562-579
12张楠,夏禾,郭薇薇,等.京沪高速铁路南京大胜关长江大桥风-车--桥耦合振动分析.中国铁道科学,2009,30(1):41-48
13Lee S Y,Cheng Y C.A new dynamic model of high-speed railway vehicle moving on curved tracks.Journal of Vi-bration and Acoustics,2008,130(1):011009-1-011009-10
14Chu K H,Garg V K,Dhar C L.Railway–bridge impact:Simplified train and bridge model.Journal of the Struc-tural Division,1979,105(9):1823-1844
15Chu K H,Garg V K,Wiriyachai A.Dynamic interaction of railway train and bridges.Vehicle System Dynamics,1980,9(4):207-236
16Wiriyachai A,Chu K H,Garg V K.Bridge impact due to wheel and track irregularities.Journal of Engineering Mechanics Division,1982,108(4):648-666
17Chu K H,Garg V K,Wang T L.Impact in railway pre-stressed concrete bridges.Journal of Structural Engineer-ing,1986,112(5):1036-1051
18Lou P.A vehicle-track-bridge interaction element consid-ering vehicle pitching effect.Finite Elements in Analysis and Design,2005,41(4):397-427
19宋国华,高芒芒,黎国清.桥梁墩台不均匀沉降时的车桥垂向系统耦合振动分析.中国铁道科学,2010,31(2):29-33
20Liu K,De-Roeck G,Lombaert G.The effect of dynamic train-bridge interaction on the bridge response during a train passage.Journal of Sound and Vibration,2009,325(1-2):240-251
21Vu-Quoc L,Olsson M.Formulation of a basic building block model for interaction of high speed vehicles on flex-ible structures.Journal of Applied Mechanics,1989,56:451-458
22Vu-Quoc L,Olsson M.High-speed vehicle models based on a new concept of vehicle/structure interaction compo-nent:Part1-formulation.Journal of Dynamic Systems,Measurement,and Control,1993,115:140-147
23Vu-Quoc L,Olsson M.High-speed vehicle models based on a new concept of vehicle/structure interaction component:Part2:Algorithmic treatment and results for multi-span guideways.Journal of Dynamic Systems,Measurement,and Control,1993,115:148-155
24Olsson M.Finite element modal co-ordinate analysis of structures subjected to moving loads.Journal of Sound and Vibration,1985,99(1):1-12
25Vu-Quoc L,Olsson M.A computational procedure for in-teraction of high-speed vehicles on flexible structures with-out assuming known vehicle nominal motion.Computer Methods in Applied Mechanics and Engineering,1989,76:207-244
26张卫华.机车车辆运行动态模拟研究.成都:西南交通大学出版社,1999.76-77
27Tanabe M,Yamada Y,Wakui H.Modal method for in-teraction of train and bridge.Computer and Structures,1987,27(1):119-127
28高芒芒.高速铁路列车--线路--桥梁耦合振动及列车走行性研究.中国铁道科学,2002,23(2):135-136
29Majka M,Hartnett M.Effects of speed,load and damping on the dynamic response of railway bridges and vehicles.Computers and Structures,2008,86(6):556-572
30Majka M,Hartnett M.Dynamic response of bridges to moving trains:A study on effects of random track irregu-larities and bridge skewness.Computers and Structures,2009,87(19-20):1233-1252
31Zhang N,Xia H,Guo W W.Vehicle-bridge interaction analysis under high-speed trains.Journal of Sound and Vibration,2008,309(3-5):407-425
32Wang T L,Garg V K,Chu K H.Railway bridge/vehicle interaction studies with new vehicle mode.Journal of Structural Engineering,1991,117(7):2099-2116
33王荣辉,郭向荣,曾庆元.高速列车--钢桁梁桥系统横向振动随机分析.铁道学报,1996,18(1):90-95
34陈淮,郭向荣,曾庆元.大跨度斜拉桥动力特性分析.计算力学学报,1997,14(1):57-63
35翟婉明.车辆--轨道耦合动力学.第3版.北京:科学出版社,2007.38-48
36Xia H,De-Roeck G,Zhang N,et al.Experimental anal-ysis of a high-speed railway bridge under Thalys trains.Journal of Sound and Vibration,2003,268(1):103-113
37Kaliyaperumal G,Imam B,Righiniotis T.Advanced dy-namic finite element analysis of a skew steel railway bridge.Engineering Structures,2011,33(1):181-190
38Yau J D,Yang Y B.Vibration reduction for cable-stayed bridges traveled by high-speed trains.Finite Elements in Analysis and Design,2004,40(3):341-359
39Li Y L,Qiang S Z,Liao H L,et al.Dynamics of wind-rail vehicle-bridge systems.Journal of Wind Engineering and Industrial Aerodynamics,2005,93(6):483-507
40任伟新,彭雪林.青洲斜拉桥的基准动力有限元模型.计算力学学报,2007,24(5):609-614
41曾庆元,填志奇,杨毅,等.桁梁行车空间振动计算的桁段有限元法.桥梁建设,1985,4:1-16
42Rebelo C,Simo es da Silva L,Rigueiro C,et al.Dynamic behaviour of twin single-span ballasted railway viaducts-field measurements and modal identification.Engineering Structures,2008,30(9):2460-2469
43Liu K,Reynders E,De-Roeck G,el at.Experimental and numerical analysis of a composite bridge for high-speed trains.Journal of Sound and Vibration,2009,320(1-2):20-220
44肖祥,任伟新.基于桥梁基准有限元模型的列车--桥梁空间耦合振动分析.中国铁道科学,2011,32(2):41-47
45朱安文,曲广吉.结构动力模型修正技术的发展.力学进展,2002,32(3):337-348
46Shabana A A,Berzeri M,Sany J R.Numerical procedure for the simulation of wheel/rail contact dynamics.Journal of Dynamic Systems,Measurement,and Control,2001,123(2):168–178
47Shabana A A,Zaazaa K E,Escalona J L,et al.Devel-opment of elastic force model for wheel/rail contact prob-lems.Journal of Sound and Vibration,2004,269(1):295-325
48肖祥.车--桥(线)耦合空间振动分析与应用:[博士论文].长沙:中南大学,2011.76-77
49de Pater A D.The Geometrical contact between track and wheelset.Vehicle System Dynamics,1988,17(3):127-140
50Pombo J,Ambro′sio J,Miguel S.A new wheel-rail contact model for railway dynamics.Vehicle System Dynamics,2007,45(2):165-189
51Pombo J,Ambro′sio J.Dynamic analysis of a railway ve-hicle in real operation conditions using a new wheel-rail contact detection model.Vehicle Systems Modeling and Testing,2005,1(1-3):79-105
52Falomi S,Malvezzi M,Meli E,et al.Determination of wheel-rail contact points:Comparison between classical and neural network based procedures.Physics and As-tronomy Meccanica,2009,44(6):661-686
53金学松,沈志云.轮轨滚动接触力学的发展.力学进展,2001,31(1):33-46
54Kalker J J.Wheel-rail rolling contact theory.Journal of Wear,1991,144(1-2):243-261
55Kalker J J.Book of tables for the hertzian creep-force law.In:Report of the Faculty of Technical Mathematics and Informatics,1996.96-61
56Kalker J J.A fast algorithm for the simplified theory of rolling-contact.Vehicle System Dynamics,1982,11(1):1-13
57Shen Z Y,Hedrick J K,Elkins J A.A comparison of alter-native creep force models for rail vehicle dynamic analysis.Vehicle System Dynamics,1983,12(1-3):591–605.
58Polach O.Creep forces in simulations of traction vehicles running on adhesion limit.Contact Mechanics and Wear of Rail/Wheel Systems,2005,258(7-8):992-1000
59Matsumoto A,Sato Y,Nakata M,et al.Wheel-rail con-tact mechanics at full scale on the test stand.Wear,1996,191(1-2):101-106
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