Citation: | Wang Peng, Yang Shaopu, Liu Yongqiang, Liu Pengfei, Zhao Yiwei, Zhang Xing. Investigation of stability and bifurcation characteristics of wheelset nonlinear dynamic model. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 462-475 doi: 10.6052/0459-1879-22-469 |
[1] |
Luo GW, Shi YQ, Zhu XF, et al. Hunting patterns and bifurcation characteristics of a three-axle locomotive bogie system in the presence of the flange contact nonlinearity. International Journal of Mechanical Sciences, 2018, 136: 321-338 doi: 10.1016/j.ijmecsci.2017.12.022
|
[2] |
Pålsson BA, Nielsen JCO. Wheel-rail interaction and damage in switches and crossings. Vehicle System Dynamics, 2011, 50(1): 1-16
|
[3] |
Yan Y, Zeng J. Hopf bifurcation analysis of railway bogie. Nonlinear Dynamics, 2018, 92(1): 107-117 doi: 10.1007/s11071-017-3634-7
|
[4] |
True H. Multiple attractors and critical parameters and how to find them numerically: the right, the wrong and the gambling way. Vehicle System Dynamics, 2013, 51(3): 443-459 doi: 10.1080/00423114.2012.738919
|
[5] |
Papangelo A, Putignano C, Hoffmann N. Self-excited vibrations due to viscoelastic interactions. Mechanical Systems and Signal Processing, 2020, 144: 106894 doi: 10.1016/j.ymssp.2020.106894
|
[6] |
Wagner UV. Nonlinear dynamic behaviour of a railway wheelset. Vehicle System Dynamics, 2009, 47(5): 627-640 doi: 10.1080/00423110802331575
|
[7] |
Pascal JP, Sany JR. Dynamics of an isolated railway wheelset with conformal wheel-rail interactions. Vehicle System Dynamics, 2019, 57(12): 1947-1969 doi: 10.1080/00423114.2018.1557704
|
[8] |
Ahmadian M, Yang S. Hopf bifurcation and hunting behavior in a rail wheelset with flange contact. Nonlinear Dynamics, 1998, 15(1): 15-30 doi: 10.1023/A:1008278713331
|
[9] |
Casanueva C, Alonso A, Eziolaza I, et al. Simple flexible wheelset model for low-frequency instability simulations. Journal of Rail and Rapid Transit, 2014, 228(2): 169-181 doi: 10.1177/0954409712468253
|
[10] |
True H, Asmund R. The dynamics of a railway freight wagon wheelset with dry friction damping. Vehicle System Dynamics, 2002, 38(2): 149-163
|
[11] |
孙建锋, 池茂儒, 吴兴文等. 基于能量法的轮对蛇行运动稳定性. 交通运输工程学报, 2018, 18(2): 82-89 (Sun Jianfeng, Chi Maoru, Wu Xingwen, et al. Hunting motion stability of wheelset based on energy method. Journal of Traffic and Transportation Engineering, 2018, 18(2): 82-89 (in Chinese) doi: 10.3969/j.issn.1671-1637.2018.02.009
|
[12] |
Yabuno H, Okamoto T, Aoshima N. Stabilization control for the hunting motion of a railway wheelset. Vehicle System Dynamics, 2001, 35(S1): 41-55
|
[13] |
Wu X, Chi M. Parameters study of Hopf bifurcation in railway vehicle system. Journal of Computational and Nonlinear Dynamics, 2015, 10(3): 031012
|
[14] |
史禾慕, 曾晓辉, 吴晗. 轮对非线性动力学系统蛇行运动的解析解. 力学学报, 2022, 54: 1-13 (Shi Hemu, Zeng Xiaohui, Wu Han. Analytical solution of the hunting motion of a wheelset nonlinear dynamical system. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54: 1-13 (in Chinese) doi: 10.6052/0459-1879-22-377
|
[15] |
Wei L, Zeng J, Chi M, et al. Carbody elastic vibrations of highspeed vehicles caused by bogie hunting instability, Vehicle System Dynamics, 2017, 55(9): 1321-1342
|
[16] |
Qu S, Wang J, Zhang D, et al. Failure analysis on bogie frame with fatigue cracks caused by hunting instability. Engineering Failure Analysis, 2021, 128: 105584
|
[17] |
Sun J, Meli E, Cai W, et al. A signal analysis based hunting instability detection methodology for high-speed railway vehicles. Vehicle System Dynamics, 2021, 59(10): 1461-1483
|
[18] |
Zhang T, Dai H. Bifurcation analysis of high-speed railway wheel-set. Nonlinear Dynamics, 2016, 83(3): 1511-1528 doi: 10.1007/s11071-015-2425-2
|
[19] |
Guo J, Shi H, Luo R, et al. Bifurcation analysis of a railway wheelset with nonlinear wheel-rail contact. Nonlinear Dynamics, 2021, 104(2): 989-1005 doi: 10.1007/s11071-021-06373-8
|
[20] |
Wei W, Yabuno H. Subcritical Hopf and saddle-node bifurcations in hunting motion caused by cubic and quintic nonlinearities: experimental identification of nonlinearities in a roller rig. Nonlinear Dynamics, 2019, 98(1): 657-670 doi: 10.1007/s11071-019-05220-1
|
[21] |
Cheng L, Wei X, Cao H. Two-parameter bifurcation analysis of limit cycles of a simplified railway wheelset model. Nonlinear Dynamics, 2018, 93(4): 2415-2431 doi: 10.1007/s11071-018-4333-8
|
[22] |
Dong H, Zeng J, Wu L, et al. Analysis of the gyroscopic stability of the wheelset. Shock and Vibration, 2014, 2014: 1-7
|
[23] |
武世江, 张继业, 隋皓等. 轮对系统的Hopf分岔研究. 力学学报, 2021, 53(9): 2569-2581 (Wu Shijiang, Zhang Jiye, Sui Hao. Hopf bifurcation study of wheelset system. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2569-2581 (in Chinese) doi: 10.6052/0459-1879-21-321
|
[24] |
Kim P, Jung J, Seok J. A parametric dynamic study on hunting stability of full dual-bogie railway vehicle. International Journal of Precision Engineering and Manufacturing, 2011, 12(3): 505-519 doi: 10.1007/s12541-011-0064-1
|
[25] |
Dong H, Zeng J. Normal form method for large/small amplitude instability criterion with application to wheelset lateral stability. International Journal of Structural Stability and Dynamics, 2014, 14(3): 1350073 doi: 10.1142/S0219455413500739
|
[26] |
Ge P, Wei X, Liu J, et al. Bifurcation of a modified railway wheelset model with nonlinear equivalent conicity and wheel-rail force. Nonlinear Dynamics, 2020, 102(1): 79-100 doi: 10.1007/s11071-020-05588-5
|
[27] |
白瑾瑜, 曾京, 石怀龙等. 抗蛇行减振器对高速列车稳定性的影响. 振动与冲击, 2020, 39(23): 78-83 (Bai Jinyu, Zeng Jing, Shi Huailong, et al. Effects of anti-hunting shock absorber on stability of high-speed train. Journal of Vibration and Shock, 2020, 39(23): 78-83 (in Chinese) doi: 10.13465/j.cnki.jvs.2020.23.012
|
[28] |
Knothe K, Bohm F. History of stability of railway and road vehicles, Vehicle System Dynamics, 1999, 31(5-6): 283-323
|
[29] |
Nath Y, Jayadev K, Influence of yaw stiffness on the nonlinear dynamics of railway wheelset. Communications in Nonlinear Science and Numerical Simulation, 2005, 10(2): 179-190
|
[30] |
于曰伟, 周长城, 赵雷雷. 高速客车抗蛇行减振器阻尼匹配的解析研究. 机械工程学报, 2018, 54(2): 159-168 (Yu Yuewei, Zhou Changcheng, Zhao Leilei. Analytical research of yaw damper damping matching for high-speed train. Journal of Mechanical Engineering, 2018, 54(2): 159-168 (in Chinese) doi: 10.3901/JME.2018.02.159
|
[31] |
Yan Y, Zeng J, Huang C, et al. Bifurcation analysis of railway bogie with yaw damper. Archive of Applied Mechanics, 2019, 89(7): 1185-1199 doi: 10.1007/s00419-018-1475-6
|
[32] |
Yan Y, Zeng J, Mu J. Complex vibration analysis of railway vehicle with tread conicity variation. Nonlinear Dynamics, 2020, 100(1): 173-183 doi: 10.1007/s11071-020-05498-6
|
[33] |
Dhooge A, Govaerts W, Kuznetsov Y A, et al. New features of the software MatCont for bifurcation analysis of dynamical systems. Mathematical and Computer Modelling of Dynamical Systems, 2008, 14(2): 147-175 doi: 10.1080/13873950701742754
|