EI、Scopus 收录
中文核心期刊
Volume 54 Issue 5
May  2022
Turn off MathJax
Article Contents
Liu Pengfei, Yang Shaopu, Liu Yongqiang, Gu Xiaohui, Liu Zechao. Discrete time transfer matrix modeling of flexible wheelset and vertical vibration. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1375-1386 doi: 10.6052/0459-1879-22-008
Citation: Liu Pengfei, Yang Shaopu, Liu Yongqiang, Gu Xiaohui, Liu Zechao. Discrete time transfer matrix modeling of flexible wheelset and vertical vibration. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1375-1386 doi: 10.6052/0459-1879-22-008

DISCRETE TIME TRANSFER MATRIX MODELING OF FlEXIBLE WHEELSET AND VERTICAL VIBRATION

doi: 10.6052/0459-1879-22-008
Funds:  The project was supported by the National Natural Science Foundation of China(52072249, 11790282, 12072208)and by the Self-determined Project of State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures (Grant No. ZZ2021-10).
  • Received Date: 2021-12-31
  • Accepted Date: 2022-04-17
  • Available Online: 2022-04-18
  • Publish Date: 2022-05-01
  • For the dynamic simulation problems of elastic vibration and high-frequency exciting test for railway wheelset, the discrete time transfer matrix method is applied to establish the flexible wheelset vibrating model. The discrete time transfer matrixes of distributed mass elastic axle, lumped mass wheel and spring-damping element in wheelset are derived based on the Newmark-β integration formula. Both the Riccati method and Newmark-β method are applied to solve the vertical vibrating accelerations, velocities and displacements of wheelset system. The wheelset dynamic model is then introduced into the bogie frame and rail roller submodels to form an integrated dynamic system, in which the latter submodels are solved by the new explicit integration method. The single-wheelset rolling and vibration dynamic model of railway vehicle is then completed. The solution flow of dynamic simulation in the mixed integral modes is presented subsequently. Based on the vibrating and rolling test rig, the high-speed running test within the speeds of 300 ~ 400 km/h is carried out in the conditions of surface initial roughness, grinded polygon and local depression for rail rollers. The corresponding dynamic simulation under the same running conditions is carried out simultaneously. Both the simulation and test results are compared in time-frequency domains to verify the theoretical model. Viewed from the perspective of time-frequency characteristics and amplitude distribution of vibration accelerations, the results indicate that, the flexible wheelset dynamics model can well reflect the medium-high frequency vibration rules for the system vibrations below the frequency of 500 Hz. The dynamic excitations such as wheel out of round, polygonal wear and local depression can be captured effectively. The amplitude errors of calculated axle-box accelerations under the above three roller surface conditions are lower than 9% in general. The model has good adaptability and precision. However, the application of relevant modeling methods in the complex spatial structures needs further exploration.

     

  • loading
  • [1]
    刘玉涛, 李成辉, 亓伟等. 轮对中高频振动仿真模型. 中国铁道科学, 2016, 37(3): 82-87 (Liu Yutao, Li Chenghui, Qi Wei, et al. Simulation model for medium and high frequency vibration of wheelset. China Railway Science, 2016, 37(3): 82-87 (in Chinese) doi: 10.3969/j.issn.1001-4632.2016.03.012
    [2]
    杨广雪, 赵方伟, 李秋泽等. 高速列车轮轨接触几何参数对轮轨磨耗的影响研究. 铁道学报, 2019, 41(2): 50-56 (Yang Guangxue, Zhao Fangwei, Li Qiuze, et al. Study of influences of high-speed train wheel-rail contact geometric parameters on wheel-rail wear. Journal of The China Railway Society, 2019, 41(2): 50-56 (in Chinese)
    [3]
    Peng B, Iwnicki S, Shackleton P, et al. The influence of wheelset flexibility on polygonal wear of locomotive wheels. Wear, 2019, 432-433: 102917 doi: 10.1016/j.wear.2019.05.032
    [4]
    杨润芝, 曾京. 高阶车轮多边形对轮轨系统振动影响分析. 振动与冲击, 2020, 39(21): 101-110 (Yang Runzhi, Zeng Jing. Influences of higher order wheel polygon on vibration of wheel-rail system. Journal of Vibration and Shock, 2020, 39(21): 101-110 (in Chinese)
    [5]
    王相平, 王红兵, 贾文慧等. 车轮扁疤对高速车辆动态曲线通过性能的影响. 铁道科学与工程学报, 2020, 17(9): 2198-2207 (Wang Xiangping, Wang Hongbing, Jia Wenhui, et al. The influence of wheel flat on the performance of high-speed vehicle dynamic on railway curve negotiation. Journal of Railway Science and Engineering, 2020, 17(9): 2198-2207 (in Chinese)
    [6]
    刘国云, 曾京, 邬平波等. 车轮扁疤所引起的车辆系统振动特性分析. 机械工程学报, 2020, 56(8): 182-189 (Liu Guoyun, Zeng Jing, Wu Pingbo, et al. Vibration characteristic analysis of vehicle systems due to wheel flat. Journal of Mechanical Engineering, 2020, 56(8): 182-189 (in Chinese) doi: 10.3901/JME.2020.08.182
    [7]
    张波, 罗光兵, 蒋忠城等. 柔性结构对车辆运动稳定性的影响. 技术与市场, 2019, 26(6): 5-8 (Zhang Bo, Luo Guangbin, Jiang Zhongchen, et al. The Influence of flexible structure on vehicle dynamic stability. Technology and Market, 2019, 26(6): 5-8 (in Chinese)
    [8]
    Fourie D, Frӧhling R, Heyns S. Railhead corrugation resulting from mode-coupling instability in the presence of veering modes. Tribology International, 2020, 152: 106499 doi: 10.1016/j.triboint.2020.106499
    [9]
    郭涛, 侯银庆, 胡晓依等. 钢轨波磨对高速车辆动力学性能的影响. 铁道建筑, 2019, 59(3): 111-115 (Guo Tao, Hou Yinqing, Hu Xiaoyi, et al. Influences of rail corrugations on dynamic performances of high speed vehicles. Railway Engineering, 2019, 59(3): 111-115 (in Chinese)
    [10]
    沈钢, 杨陈, 王辉. 轨交车辆轮对弹性振动对轴箱轴承寿命的影响. 机电一体化, 2015, 21(4): 67-72 (Shen Gang, Yang Chen, Wang Hui. Effect on the axle box bearing life by the elastic vibration of metro vehicle wheel. Mechatronics, 2015, 21(4): 67-72 (in Chinese)
    [11]
    Cruceanu IC, Sorohan S. Determination of the harmonic response of a railway wheelset using the finite element analysis method. Procedia Manufacturing, 2020, 46: 173-179 doi: 10.1016/j.promfg.2020.03.026
    [12]
    Kurzeck B, Hecht M. Dynamic simulation of friction induced vibration in a light railway bogie while curving compared with measurement results. Vehicle System Dynamics, 2009, 72: 949-961
    [13]
    Guiral A, Alonso A, Giménez JG. Vehicle–track interaction at high frequencies – Modelling of a flexible rotating wheelset in non-inertial reference frames. Journal of Sound and Vibration, 2015, 355: 284-304 doi: 10.1016/j.jsv.2015.06.032
    [14]
    Baeza L, Giner-Navarro J, Thompson DJ, et al. Eulerian models of the rotating flexible wheelset for high frequency railway dynamics. Journal of Sound and Vibration, 2019, 449(9): 300-314
    [15]
    徐宁, 任尊松, 马尚. 带集中质量及转动惯量的弹性车轴模型及振动分析. 机械工程学报, 2014, 50(2): 125-131 (Xu Ning, Ren Zunsong, Ma Shang. Vibration analyses of elastic wheelset model with concentrated mass and moment of inertia. Journal of Mechanical Engineering, 2014, 50(2): 125-131 (in Chinese) doi: 10.3901/JME.2014.02.125
    [16]
    钟硕乔, 金学松. 轮对旋转效应与结构柔性对轮轨力的影响//中国力学大会-2017暨庆祝中国力学学会成立60周年大会论文集, 2017, 10: 1075-1084

    Zhong Shuoqiao, Jin Xuesong. Wheelset rotation effect and the influence of structural flexibility on wheel-rail forces//China Mechanics Congress-2017 and the 60th anniversary of the founding of the Chinese Society of Mechanics, 2017: 10: 1075-1084 (in Chinese)
    [17]
    崔潇, 姚建伟, 胡晓依等. 欧拉坐标系下柔性轮对旋转效应对轮轨力的影响. 中国铁道科学, 2019, 40(4): 120-128 (Cui Xiao, Yao Jianwei, Hu Xiaoyi, et al. Rotation effect of flexible wheelset on wheel-rail force in Euler coordinate system. China Railway Science, 2019, 40(4): 120-128 (in Chinese) doi: 10.3969/j.issn.1001-4632.2019.04.15
    [18]
    杨云帆, 周青, 巩磊等. 轮对柔性对直线电机车辆动态响应的影响分析. 西南交通大学学报, 2020, 55(6): 1313-1319 (Yang Yunfan, Zhou Qing, Gong Lei, et al. Influence of wheelset flexibility on dynamic response of linear induction motor vehicles. Journal of Southwest Jiaotong University, 2020, 55(6): 1313-1319 (in Chinese)
    [19]
    Rui XT, Wang GP, Zhang JS. Transfer Matrix Method for Multibody Systems: Theory and Applications. Hoboken: Wiley, 2018.
    [20]
    顾致平, 刘永寿. 非线性转子系统中的传递矩阵技术. 北京: 科学出版社, 2010

    Gu Zhiping, Liu Yongshou. Transfer Matrix Technique in Nonlinear Rotor Systems. Beijing: Science Press, 2010(in Chinese))
    [21]
    毛文贵, 韩旭, 刘桂萍. 滑动轴承-转子系统Riccati-Newmark加速度传递矩阵法. 振动与冲击, 2015(20): 80-84 (Mao Wengui, Han Xu, Liu Guiping. Riccati transfer matrix method combined with Newmark acceleration formulation integration for analysing sliding bearings and rotor system. Journal of Vibration and Shock, 2015(20): 80-84 (in Chinese)
    [22]
    顾致平, 孟光, 支希哲. 柔性转子-支承系统瞬态响应分析的模态叠加-Riccati传递矩阵法. 振动工程学报, 1995, 8(2): 178-183 (Gu Zhiping, Meng Guang, Zhi Xizhe. Mode Superposition-Riccati transfer matrix method for transient analysis of flexible rotor-bearing systems. Journal of Vibration Engineering, 1995, 8(2): 178-183 (in Chinese)
    [23]
    Zhai WM. Vehicle-Track Coupled Dynamics: Theory and applications. Berlin: Springer, 2020.
    [24]
    Liu PF, Zhai WM, Wang KY. Establishment and verification of three dimensional dynamic model for heavy haul train track coupled system. Vehicle System Dynamics, 2016, 54(11): 1511-1537 doi: 10.1080/00423114.2016.1213862
    [25]
    Liu PF, Zhang KL, Cao YQ. Dynamic performance of six-axle locomotive subjected to asymmetric brake shoe forces. Journal of Central South University, 2020, 27(9): 2776-2791 doi: 10.1007/s11771-020-4498-4
    [26]
    Liu PF, Wei K, Wang KY, et al. Testing of modified primary stiffness for heavy-haul locomotives operating on sharper-radius curves. Proceedings of the Institution of Mechanical Engineers, Part K:Journal of Multi-body Dynamics, 2019, 233(3): 531-548 doi: 10.1177/1464419319836006
    [27]
    张卫华. 机车车辆动态模拟. 北京: 中国铁道出版社. 2006

    Zhang Weihua. Dynamic Simulation of Railway Vehicles. Beijing: China Railway Publishing House, 2006 (in Chinese)
    [28]
    向琴. 高速列车滚动轴承支承松动建模及其非线性动力学特性研究[硕士论文]. 南昌: 华东交通大学, 2015

    Xiang Qin. Study on modelling and nonlinear dynamic characteristics of high-speed train rolling bearing with pedestal looseness[Master Thesis]. Nanchang: East China Jiaotong University, 2015(in Chinese))
    [29]
    CY-SJZ-JT-009. 滚振试验台计算分析报告书. 石家庄铁道大学, 2017
    [30]
    Liu PF, Liu HJ, Wu Q. Estimation of wheelset natural vibration characteristics based on transfer matrix method with various elastic beam models. Shock and Vibration, 2021: 9973421
    [31]
    朱海燕, 胡华涛, 尹必超等. 轨道车辆车轮多边形研究进展. 交通运输工程学报, 2020, 20(1): 102-119 (Zhu Haiyan, Hu Huatao, Yin Bichao, et al. Research progress on wheel polygons of rail vehicles. Journal of Traffic and Transportation Engineering, 2020, 20(1): 102-119 (in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(13)  / Tables(1)

    Article Metrics

    Article views (273) PDF downloads(52) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return