车辆-轨道耦合动力学钢轨模型求解方法
|
摘要
应用车辆-轨道非线性耦合动力学模型,分析了采用解析方法的模态叠加法、有限元法的模态叠加法和有限元法的直接积分法求解车辆-轨道耦合动力学钢轨模型的计算精度与计算效率。选取Bernoulli-Euler梁或Rayleigh-Timoshenko梁模拟钢轨,采用不同类型单元离散钢轨模型,并利用显式积分方法求解车辆-轨道耦合动力学的响应。计算结果表明:当采用Bernoulli-Euler梁钢轨模型和轨道激励频率较低时,采用协调质量阵的直接积分法计算时间是解析方法的模态叠加法的28.8倍,各种计算方法的计算结果接近;当采用Rayleigh-Timoshenko梁钢轨模型和轨道激励频率较低时,可以忽略Rayleigh-Timoshenko梁的转动惯量对车辆-轨道耦合动力学模型的响应影响;解析法的模态叠加法的计算时间比混合单元的慢64.5%。
The computational accuracies and efficiencies of different methods for solving dynamic rail model were investigated with vehicle-track nonlinear coupling dynamics model.The methods were modal superposition method based on analytical expression,modal superposition method based on FEM,and direct integration method based on FEM.Rail was modeled by Bernoulli-Euler beam or Rayleigh-Timoshenko beam,and rail model was divided by different types of elements.The response of vehicle-track coupling dynamics was solved with explicit integration method.Calculation result indicates that the computational time of direct integration method based on consistent mass matrix is 28.8 times than that of modal superposition based on analytical expression when rail is modeled by Bernoulli-Euler beam and track excitation frequency is lower,and the computational accuracies of the methods are nearly same.The response influence of rotatory inertia for Rayleigh-Timoshenko beam in vehicle-track coupling dynamics model can be neglected when rail is modeled by Rayleigh-Timoshenko beam and track excitation frequency is lower.The computational time of modal superposition method based on analytical expression is 64.5% slower than that of hybrid element.4 tabs,12 figs,16 refs.
The computational accuracies and efficiencies of different methods for solving dynamic rail model were investigated with vehicle-track nonlinear coupling dynamics model.The methods were modal superposition method based on analytical expression,modal superposition method based on FEM,and direct integration method based on FEM.Rail was modeled by Bernoulli-Euler beam or Rayleigh-Timoshenko beam,and rail model was divided by different types of elements.The response of vehicle-track coupling dynamics was solved with explicit integration method.Calculation result indicates that the computational time of direct integration method based on consistent mass matrix is 28.8 times than that of modal superposition based on analytical expression when rail is modeled by Bernoulli-Euler beam and track excitation frequency is lower,and the computational accuracies of the methods are nearly same.The response influence of rotatory inertia for Rayleigh-Timoshenko beam in vehicle-track coupling dynamics model can be neglected when rail is modeled by Rayleigh-Timoshenko beam and track excitation frequency is lower.The computational time of modal superposition method based on analytical expression is 64.5% slower than that of hybrid element.4 tabs,12 figs,16 refs.
引文
[1]刘建新,易明辉,王开云.重载铁路车轮踏面擦伤时的轮轨动态相互作用特征[J].交通运输工程学报,2010,10(3):52-56.LI UJian-xin,YI Ming-hui,WANG Kai-yun.Characteristicof dynamic interaction between wheel and rail due to wheeltread flat on heavy haul rail way[J].Journal of Traffic andTransportation Engineering,2010,10(3):52-56.(in Chinese)
[2]YOUNG T H,LI C Y.Vertical vibration analysis of vehicle/i mperfect track systems[J].Vehicle System Dynamics,2003,40(5):329-349.
[3]KASSA E,NIELSEN J C O.Dynamic train-turnout inter-actionin an extended frequency range using a detailed modelof track dynamics[J].Journal of Sound and Vibration,2009,320(4/5):893-914.
[4]DUKKIPATI R V,DONG R G.The dynamic effects of con-ventional freight car running over a dipped-joint[J].VehicleSystem Dynamics,1999,31(2):95-111.
[5]任尊松.车辆-道岔系统动力学研究[D].成都:西南交通大学,2000.REN Zun-song.Research on the vehicle-turnout systemdynamics[D].Chengdu:Southwest Jiaotong University,2000.(in Chinese)
[6]NEWTON S G,CLARK R A.An investigation into thedynamic effects onthetrack of wheelflats onrailway vehicles[J].Journal of Mechanical Engineering Science,1979,21(4):287-297.
[7]DONG R G,SANKAR S,DUKKIPATI R V.Afinite elem-ent model of rail way track andits applicationto the wheel flatproblem[J].Proceedings of the Institution of MechanicalEngineers,Part F:Journal of Rail and Rapid Transit,1994,208(1):61-72.
[8]徐志胜,翟婉明,王开云.基于Ti moshenko梁模型的车辆-轨道耦合振动分析[J].西南交通大学学报,2003,38(1):22-27.XU Zhi-sheng,ZHAI Wan-ming,WANG Kai-yun.Analysisof vehicle-track coupling vibration based on Ti moshenko beammodel[J].Journal of Southwest Jiaotong University,2003,38(1):22-27.(in Chinese)
[9]徐志胜,翟婉明,王开云,等.车辆-轨道系统振动响应分析——Ti moshenko梁与Euler梁轨道模型的比较[J].地震工程与工程振动,2003,23(6):74-79.XU Zhi-sheng,ZHAI Wan-ming,WANG Kai-yun,et al.Analysis of vehicle-track system vibration—comparisonbetween Ti moshenko beam and Euler beamtrack model[J].Earthquake Engineering and Engineering Vibration,2003,23(6):74-79.(in Chinese)
[10]KNOTHE K L,GRASSIE S L.Modelling of rail way trackand vehicle/trackinteraction at high frequencies[J].VehicleSystem Dynamics,1993,22(3/4):209-262.
[11]ZHAI Wan-ming,WANG Kai-yun,CAI Cheng-biao.Funda-mentals of vehicle-track coupled dynamics[J].Vehicle SystemDynamics,2009,47(11):1349-1376.
[12]徐志胜.轨道交通轮轨噪声预测与控制的研究[D].成都:西南交通大学,2004.XU Zhi-sheng.Prediction and control of wheel/rail noise forrail transit[D].Chengdu:Southwest Jiaotong University,2004.(in Chinese)
[13]HI NTON E,ROCK T,ZIENKIEWICZ O C.Anote on masslumping and related processes in the finite element method[J].Earthquake Engineering and Structural Dynamics,1976,4(3):245-249.
[14]ZHANG Shu-guang,XI AO Xin-biao,WEN Ze-feng,et al.Effect of unsupported sleepers on wheel/rail normal load[J].Soil Dynamics and Earthquake Engineering,2008,28(8):662-673.
[15]JI N Xue-song,WENZe-feng,WANG Kai-yun,et al.Three-di mensional train-track model for study of rail corrugation[J].Journal of Sound and Vibration,2006,293(3/4/5):830-855.
[16]NIELSENJ C O,IGELAND A.Vertical dynamicinteractionbetween train and track-influence of wheel and track i mper-fections[J].Journal of Sound and Vibration,1995,187(5):825-839.
[2]YOUNG T H,LI C Y.Vertical vibration analysis of vehicle/i mperfect track systems[J].Vehicle System Dynamics,2003,40(5):329-349.
[3]KASSA E,NIELSEN J C O.Dynamic train-turnout inter-actionin an extended frequency range using a detailed modelof track dynamics[J].Journal of Sound and Vibration,2009,320(4/5):893-914.
[4]DUKKIPATI R V,DONG R G.The dynamic effects of con-ventional freight car running over a dipped-joint[J].VehicleSystem Dynamics,1999,31(2):95-111.
[5]任尊松.车辆-道岔系统动力学研究[D].成都:西南交通大学,2000.REN Zun-song.Research on the vehicle-turnout systemdynamics[D].Chengdu:Southwest Jiaotong University,2000.(in Chinese)
[6]NEWTON S G,CLARK R A.An investigation into thedynamic effects onthetrack of wheelflats onrailway vehicles[J].Journal of Mechanical Engineering Science,1979,21(4):287-297.
[7]DONG R G,SANKAR S,DUKKIPATI R V.Afinite elem-ent model of rail way track andits applicationto the wheel flatproblem[J].Proceedings of the Institution of MechanicalEngineers,Part F:Journal of Rail and Rapid Transit,1994,208(1):61-72.
[8]徐志胜,翟婉明,王开云.基于Ti moshenko梁模型的车辆-轨道耦合振动分析[J].西南交通大学学报,2003,38(1):22-27.XU Zhi-sheng,ZHAI Wan-ming,WANG Kai-yun.Analysisof vehicle-track coupling vibration based on Ti moshenko beammodel[J].Journal of Southwest Jiaotong University,2003,38(1):22-27.(in Chinese)
[9]徐志胜,翟婉明,王开云,等.车辆-轨道系统振动响应分析——Ti moshenko梁与Euler梁轨道模型的比较[J].地震工程与工程振动,2003,23(6):74-79.XU Zhi-sheng,ZHAI Wan-ming,WANG Kai-yun,et al.Analysis of vehicle-track system vibration—comparisonbetween Ti moshenko beam and Euler beamtrack model[J].Earthquake Engineering and Engineering Vibration,2003,23(6):74-79.(in Chinese)
[10]KNOTHE K L,GRASSIE S L.Modelling of rail way trackand vehicle/trackinteraction at high frequencies[J].VehicleSystem Dynamics,1993,22(3/4):209-262.
[11]ZHAI Wan-ming,WANG Kai-yun,CAI Cheng-biao.Funda-mentals of vehicle-track coupled dynamics[J].Vehicle SystemDynamics,2009,47(11):1349-1376.
[12]徐志胜.轨道交通轮轨噪声预测与控制的研究[D].成都:西南交通大学,2004.XU Zhi-sheng.Prediction and control of wheel/rail noise forrail transit[D].Chengdu:Southwest Jiaotong University,2004.(in Chinese)
[13]HI NTON E,ROCK T,ZIENKIEWICZ O C.Anote on masslumping and related processes in the finite element method[J].Earthquake Engineering and Structural Dynamics,1976,4(3):245-249.
[14]ZHANG Shu-guang,XI AO Xin-biao,WEN Ze-feng,et al.Effect of unsupported sleepers on wheel/rail normal load[J].Soil Dynamics and Earthquake Engineering,2008,28(8):662-673.
[15]JI N Xue-song,WENZe-feng,WANG Kai-yun,et al.Three-di mensional train-track model for study of rail corrugation[J].Journal of Sound and Vibration,2006,293(3/4/5):830-855.
[16]NIELSENJ C O,IGELAND A.Vertical dynamicinteractionbetween train and track-influence of wheel and track i mper-fections[J].Journal of Sound and Vibration,1995,187(5):825-839.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心