轮对前2阶弯曲模态对动力学行为的影响(英文)
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摘要
研究目的:扩展动力学模型的分析频域,建立能考虑轮对柔性的车辆轨道耦合动力学系统模型,为研究轮轨磨耗的形成和发展以及轮轨噪声的来源提供基础。创新要点:利用欧拉梁横向弯曲模型,建立轮轴在垂直于轨道平面和平行于轨道平面内的弯曲振动模型;建立考虑轮轴弯曲的轮对模型与轮轨接触模块之间的耦合关系,进而研究轮轨接触行为受轮轴弯曲变形的影响。研究方法:1.把轮轴模拟为欧拉梁,左右车轮模拟为固结于轮轴上的质量块;2.假设左右车轮始终垂直于轮轴,引入虚拟的两个半边刚性轮对模型,建立轮轨接触模型和柔性轮对耦合的关系;3.基于多刚体车辆-轨道耦合动力学模型,利用以上柔性轮对模型和此耦合关系,建立考虑轮轴柔性的车辆-轨道耦合动力学模型。重要结论:1.建立的刚柔耦合的车辆-轨道耦合动力学模型能够有效地描述轮轴弯曲对轮轨接触行为的影响;2.在0–150 Hz的随机不平顺激励下,多刚体模型和考虑轮对柔性的模型受到的轮轨力和轮轨接触点轨迹不同;这主要是由第1阶弯曲模态被激发导致。
The objective of this paper is to develop a new wheel-rail contact model, which is suitable for considering the effect of wheelset bending deformation on wheel-rail contact behavior at high speeds. Dummies of the two half rigid wheelset are introduced to describe the spacial positions of the wheels of the deformed wheelset. In modeling the flexible wheelset, the first two wheelset bending modes are considered. Based on the modal synthesis method, these mode values of the wheelset axle are used to solve the motion equations of the flexible wheelset axle modeled as an Euler-Bernoulli beam. The wheel is assumed to be rigid and always perpendicular to the deformed axle at the wheel centre. In the vehicle model, two bogies and one car body are modeled as lumped masses. Spring-damper elements are adopted to model the primary and secondary suspension systems. The ballasted track is modeled as a triple layer discrete elastic supported model. Two high-speed vehicle-track models, one considering rigid wheelset models and the other considering flexible wheelset models, are used to analyze the differences of the numerical results of the two models in both frequency and time domains. In the simulation, a random high-speed railway track irregularity is used as wheel-rail excitations. Wheel-rail forces are calculated and analyzed in the time and frequency domains. The results clarify that this new contact model can characterize very well the influence of the first two bending modes of the wheelset on contact behavior.
The objective of this paper is to develop a new wheel-rail contact model, which is suitable for considering the effect of wheelset bending deformation on wheel-rail contact behavior at high speeds. Dummies of the two half rigid wheelset are introduced to describe the spacial positions of the wheels of the deformed wheelset. In modeling the flexible wheelset, the first two wheelset bending modes are considered. Based on the modal synthesis method, these mode values of the wheelset axle are used to solve the motion equations of the flexible wheelset axle modeled as an Euler-Bernoulli beam. The wheel is assumed to be rigid and always perpendicular to the deformed axle at the wheel centre. In the vehicle model, two bogies and one car body are modeled as lumped masses. Spring-damper elements are adopted to model the primary and secondary suspension systems. The ballasted track is modeled as a triple layer discrete elastic supported model. Two high-speed vehicle-track models, one considering rigid wheelset models and the other considering flexible wheelset models, are used to analyze the differences of the numerical results of the two models in both frequency and time domains. In the simulation, a random high-speed railway track irregularity is used as wheel-rail excitations. Wheel-rail forces are calculated and analyzed in the time and frequency domains. The results clarify that this new contact model can characterize very well the influence of the first two bending modes of the wheelset on contact behavior.
引文
Andersson,C.,Abrahamsson,T.,2002.Simulation of interaction between a train in general motion and a track.Vehicle System Dynamics,38(6):433-455.[doi:10.1076/vesd.38.6.433.8345]
Baeza,L.,Vila,P.,Rodaa,A.,et al.,2008.Prediction of corrugation in rails using a non-stationary wheel-rail contact model.Wear,265(9-10):1156-1162.[doi:10.1016/j.wear.2008.01.024]
Baeza,L.,Vila,P.,Xie,G.,et al.,2011.Prediction of rail corrugation using a rotating flexible wheelset coupled with a flexible track model and a non-Hertzian/non-steady contact model.Journal of Sound and Vibration,330(18-19):4493-4507.[doi:10.1016/j.jsv.2011.03.032]
Chaar,N.,2007.Wheelset Structural Flexibility and Track Flexibility in Vehicle/track Dynamic Interaction.PhD Thesis,Royal Institute of Technology,Stockholm,Sweden.
Fayos,J.,Baeza,L.,Denia,F.D.,et al.,2007.An Eulerian coordinate-based method for analysing the structural vibrations of a solid of revolution rotating about its main axis.Journal of Sound and Vibration,306(3-5):618-635.[doi:10.1016/j.jsv.2007.05.051]
Jin,X.S.,Xiao,X.B.,Ling,L.,et al.,2013.Study on safety boundary for high-speed train running in severe environments.International Journal of Rail Transportation,1 (1-2):87-108.[doi:10.1080/23248378.2013.790138]
Kaiser,I.,Popp,K.,2006.Interaction of elastic wheelsets and elastic rails:modeling and simulation.Vehicle System Dynamics,44(S1):932-939.[doi:10.1080/00423110600907675]
Meinders,T.,Meinker,P.,2003.Rotor dynamics and irregular wear of elastic wheelsets,system dynamics and long-term behavior of railway vehicles,track and subgrade.System Dynamics and Long-term Behaviour of Railway Vehicles,Track and Subgrade,6:133-152.[doi:10.1007/978-3-540 -45476-2_9]
Nielsen,J.C.O.,Lundén,R.,Johansson,A.,et al.,2003.Train-track interaction and mechanisms of irregular wear on wheel and rail surfaces.Vehicle System Dynamics,40(1-3):3-54.[doi:10.1076/vesd.40.1.3.15874]
Nielsen,J.C.O.,Ekberg,A.,Lundén,R.,2005.Influence of short-pitch wheel/rail corrugation on rolling contact fatigue of railway wheels.Journal of Rail and Rapid Transit,219(3):177-188.[doi:10.1243/095440905X8871]
Popp,K.,Kruse,H.,Kaiser,I.,1999.Vehicle/track dynamics in the mid-frequency range.Vehicle System Dynamics,31 (5-6):423-463.[doi:10.1076/vesd.31.5.423.8363]
Popp,K.,Kaiser,I.,Kruse,H.,2003.System dynamics of railway vehicles and track.Archive of Applied Mechanics,72 (11-12):949-961.[doi:10.1007/s00419-002-0261-6]
Qiu,J.B.,Xiang,S.H.,Zhang,Z.P.,2009.Computational Structural Dynamics.Press of University of Science and Technology of China,Hefei,China(in Chinese).
Shen,Z.Y.,Hedrick,J.K.,Elkins,J.A.,1983.A comparison of alternative creep force models for rail vehicle dynamic analysis.Vehicle System Dynamics,12(1-3):79-83.[doi:10.1080/00423118308968725]
Szolc,T.,1998a.Medium frequency dynamic investigation o the railway wheelset-track system using a discrete continuous model.Archive of Applied Mechanics,68(1)30 -45.[doi:10.1007/s004190050144]
Szolc,T.,1998b.Simulation of bending-torsional-lateral vibrations of the railway wheelset-track system in the medium frequency range.Vehicle System Dynamics,30(6):473 -508.[doi:10.1080/00423119808969462]
Torstensson,P.T.,Nielsen,J.C.O.,2011.Simulation of dynamic vehicle-track interaction on small radius curves.Vehicle System Dynamics,49(11):1711-1732.[doi:10.1080/00423114.2010.499468]
Torstensson,P.T.,Pieringer,A.,Nielsen,J.C.O.,2012.Simulation of rail roughness growth on small radius curves using a non-Hertzian and non-steady wheel-rail contact model.9th International Conference on Contact Mechanics and Wear of Rail/Wheel Systems,Chengdu,China,p.223-230.[doi:10.1016/j.wear.2013.11.032]
Wang,K.W.,1984.Wheel contact point trace line and wheel/rail contact geometry parameters computation.Journal of Southwest Jiaotong University,1:89-99(in Chinese).
Xiao,X.B.,Jin,X.S.,Wen,Z.F.,2007.Effect of disabled fastening systems and ballast on vehicle derailment.Journal of Vibration and Acoustics,129(2):217-229.[doi:10.1115/1.2424978]
Xiao,X.B.,Jin,X.S.,Deng,Y.Q.,et al.,2008.Effect of curved track support failure on vehicle derailment.Vehicle System Dynamics,46(11):1029-1059.[doi:10.1080/00423110701689602]
Xiao,X.B.,Jin,X.S.,Wen,Z.F.,et al.,2010.Effect of tangent track buckle on vehicle derailment.Multibody System Dynamics,25(1):1-41.[doi:10.1007/s11044-010-9210-2]
Zhai,W.M.,2007.Vehicle/Track Coupling Dynamics(3rd Edition).Chinese Science Press,Beijing,China(in Chinese).
Zhong,S.Q.,Xiao,X.B.,Wen,Z.F.,et al.,2013.The effect of first-order bending resonance of wheelset at high speed on wheel-rail contact behavior.Advances in Mechanical Engineering,2013:296106.[doi:10.1155/2013/296106]
Zhong,S.Q.,Xiao,X.B.,Wen,Z.F.,et al.,2014.A new wheelrail contact model integrated into a coupled vehicle-track system model considering wheelset bending.2nd International Conference on Railway Technology Research,Development and Maintenance,Ajacocia,France,p.1-10.[doi:10.4203/ccp.104.10]
Baeza,L.,Vila,P.,Rodaa,A.,et al.,2008.Prediction of corrugation in rails using a non-stationary wheel-rail contact model.Wear,265(9-10):1156-1162.[doi:10.1016/j.wear.2008.01.024]
Baeza,L.,Vila,P.,Xie,G.,et al.,2011.Prediction of rail corrugation using a rotating flexible wheelset coupled with a flexible track model and a non-Hertzian/non-steady contact model.Journal of Sound and Vibration,330(18-19):4493-4507.[doi:10.1016/j.jsv.2011.03.032]
Chaar,N.,2007.Wheelset Structural Flexibility and Track Flexibility in Vehicle/track Dynamic Interaction.PhD Thesis,Royal Institute of Technology,Stockholm,Sweden.
Fayos,J.,Baeza,L.,Denia,F.D.,et al.,2007.An Eulerian coordinate-based method for analysing the structural vibrations of a solid of revolution rotating about its main axis.Journal of Sound and Vibration,306(3-5):618-635.[doi:10.1016/j.jsv.2007.05.051]
Jin,X.S.,Xiao,X.B.,Ling,L.,et al.,2013.Study on safety boundary for high-speed train running in severe environments.International Journal of Rail Transportation,1 (1-2):87-108.[doi:10.1080/23248378.2013.790138]
Kaiser,I.,Popp,K.,2006.Interaction of elastic wheelsets and elastic rails:modeling and simulation.Vehicle System Dynamics,44(S1):932-939.[doi:10.1080/00423110600907675]
Meinders,T.,Meinker,P.,2003.Rotor dynamics and irregular wear of elastic wheelsets,system dynamics and long-term behavior of railway vehicles,track and subgrade.System Dynamics and Long-term Behaviour of Railway Vehicles,Track and Subgrade,6:133-152.[doi:10.1007/978-3-540 -45476-2_9]
Nielsen,J.C.O.,Lundén,R.,Johansson,A.,et al.,2003.Train-track interaction and mechanisms of irregular wear on wheel and rail surfaces.Vehicle System Dynamics,40(1-3):3-54.[doi:10.1076/vesd.40.1.3.15874]
Nielsen,J.C.O.,Ekberg,A.,Lundén,R.,2005.Influence of short-pitch wheel/rail corrugation on rolling contact fatigue of railway wheels.Journal of Rail and Rapid Transit,219(3):177-188.[doi:10.1243/095440905X8871]
Popp,K.,Kruse,H.,Kaiser,I.,1999.Vehicle/track dynamics in the mid-frequency range.Vehicle System Dynamics,31 (5-6):423-463.[doi:10.1076/vesd.31.5.423.8363]
Popp,K.,Kaiser,I.,Kruse,H.,2003.System dynamics of railway vehicles and track.Archive of Applied Mechanics,72 (11-12):949-961.[doi:10.1007/s00419-002-0261-6]
Qiu,J.B.,Xiang,S.H.,Zhang,Z.P.,2009.Computational Structural Dynamics.Press of University of Science and Technology of China,Hefei,China(in Chinese).
Shen,Z.Y.,Hedrick,J.K.,Elkins,J.A.,1983.A comparison of alternative creep force models for rail vehicle dynamic analysis.Vehicle System Dynamics,12(1-3):79-83.[doi:10.1080/00423118308968725]
Szolc,T.,1998a.Medium frequency dynamic investigation o the railway wheelset-track system using a discrete continuous model.Archive of Applied Mechanics,68(1)30 -45.[doi:10.1007/s004190050144]
Szolc,T.,1998b.Simulation of bending-torsional-lateral vibrations of the railway wheelset-track system in the medium frequency range.Vehicle System Dynamics,30(6):473 -508.[doi:10.1080/00423119808969462]
Torstensson,P.T.,Nielsen,J.C.O.,2011.Simulation of dynamic vehicle-track interaction on small radius curves.Vehicle System Dynamics,49(11):1711-1732.[doi:10.1080/00423114.2010.499468]
Torstensson,P.T.,Pieringer,A.,Nielsen,J.C.O.,2012.Simulation of rail roughness growth on small radius curves using a non-Hertzian and non-steady wheel-rail contact model.9th International Conference on Contact Mechanics and Wear of Rail/Wheel Systems,Chengdu,China,p.223-230.[doi:10.1016/j.wear.2013.11.032]
Wang,K.W.,1984.Wheel contact point trace line and wheel/rail contact geometry parameters computation.Journal of Southwest Jiaotong University,1:89-99(in Chinese).
Xiao,X.B.,Jin,X.S.,Wen,Z.F.,2007.Effect of disabled fastening systems and ballast on vehicle derailment.Journal of Vibration and Acoustics,129(2):217-229.[doi:10.1115/1.2424978]
Xiao,X.B.,Jin,X.S.,Deng,Y.Q.,et al.,2008.Effect of curved track support failure on vehicle derailment.Vehicle System Dynamics,46(11):1029-1059.[doi:10.1080/00423110701689602]
Xiao,X.B.,Jin,X.S.,Wen,Z.F.,et al.,2010.Effect of tangent track buckle on vehicle derailment.Multibody System Dynamics,25(1):1-41.[doi:10.1007/s11044-010-9210-2]
Zhai,W.M.,2007.Vehicle/Track Coupling Dynamics(3rd Edition).Chinese Science Press,Beijing,China(in Chinese).
Zhong,S.Q.,Xiao,X.B.,Wen,Z.F.,et al.,2013.The effect of first-order bending resonance of wheelset at high speed on wheel-rail contact behavior.Advances in Mechanical Engineering,2013:296106.[doi:10.1155/2013/296106]
Zhong,S.Q.,Xiao,X.B.,Wen,Z.F.,et al.,2014.A new wheelrail contact model integrated into a coupled vehicle-track system model considering wheelset bending.2nd International Conference on Railway Technology Research,Development and Maintenance,Ajacocia,France,p.1-10.[doi:10.4203/ccp.104.10]