摘要
介绍高速客车蛇形运动和临界速度,引入蛇形运动Hopf分岔,用"升速法"和"降速法"分别求解线性临界速度和非线性临界速度.用德国低干扰轨道谱作为轨道不平顺激扰,基于多体动力学软件SIMPACK,建立高速客车仿真模型,完成参数设置.求解出高速客车线性临界速度为400 km/h,非线性临界速度为355 km/h,绘制蛇形运动Hopf分岔图.对车辆主要悬挂参数进行线性处理,通过控制变量法分析单个悬挂参数对车辆非线性临界速度的影响;对于单个悬挂参数的取值,用变化系数法逐一实验.结果表明,适当增大抗蛇行减振器阻尼,车辆稳定性提升明显,轴箱定位刚度的影响次之,横向减振器主要提高车辆的曲线通过能力,空气弹簧参数对非线性临界速度基本没有影响.
This article introduces the snake-like motion and critical velocity of high-speed bulletin trains, introduces snake motion Hopf bifurcation, and solves linear critical velocity and nonlinear critical velocity respectively with "speeding up method" and "Velocity-reducing method". Basing on multi-body dynamic software SIMPACK, it established simulation model of high speed bulletin trains to complete the parameter setting by taking low interference orbital spectrum in Germany. The linear critical speed of high speed passenger cars is obtained as 400 km/h, and nonlinear critical speed is 355 km/h,and snaking motion Hopf bifurcation diagram is drawn. The main suspension parameters of vehicles are selected for linearization processing, and the article analyzes the influence of single suspension parameters on the vehicle nonlinear critical velocity with control variable method; For the value of a single suspension parameter, the variation coefficient method is used for testing one by one. The result shows that, a properly increase of the damping of the anti-snake motion shock absorber improved the stability of the vehicle obviously, and the influence of the positioning stiffness of the axle box will be the second.
引文
[1] 陆冠东.车辆系统动力学计算方法研究[M].北京:中国铁道出版社,2011:8-11.
[2] 邢璐璐,李芾,付政波.弹性车轮车辆临界速度及曲线通过性能分析[J].电力机车与城规车辆,2012,35(1):25-28.
[3] 商跃进.动车组车辆构造与设计[M].成都:西南交通大学出版社,2012:72-80.
[4] 李然.高速列车蛇形运动特性研究[D].成都:西南交通大学,2016:1-4.
[5] 张雪锋,汪宏峰,杨绍普.车辆转向架Hopf分岔分析[J].石家庄铁道学院学报:自然科学版,2013,16(4):13-17.
[6] 刘宏友,高常君,王云鹏,等.160 km/h快捷货车转向架蛇形失稳临界速度的确定方法[J].铁道车辆,2017,55(6):1-5.
[7] 沈刚.轨道车辆系统动力学[M].北京:中国铁道出版社,2014:58-61.
[8] 王开云,刘鹏飞.铁路货车通过曲线轨道时的非线性运动稳定性研究[J].中国铁道科学,2011,32(2):85-89.
[9] 孙晓亮.高速拖车悬挂系统参数对其动力学性能的影响[D].成都:西南交通大学,2009:19-25.
[10] 秦震,周素霞,孙晨龙,等.减振器特性参数对高速动车组临界速度的影响研究[J].机械工程学报,2017,53(6):138-144.
[11] D’OVIDIO G,CARPENITO A.Dynamic analysis of high-temperature superconducting vehicle suspension[J].Journal of Superconductivity and Novel Magnetism,2015,28 (2):591-595.
[12] Dae-Oh Kang,Min-Soo Kim,Seung-Jin Heo.Robust design optimization for suspersion system.The 6th Asian Conference on Multibody Dynamics,Shanghai,2012-08-26.