Analysis of Rolling Contact between Wheel and Rail in Switch Area
LI Jincheng1, DING Junjun1, NIU Yuecheng1, LI Fu1, WU Pengpeng2
1. School of Mechanical Engineering，Southwest Jiaotong University，Chengdu 610031，China; 2. China Railway Materials Track Technology Service Company Limited，Beijing 100036，China
Abstract：In order to study the wheel-rail matching relationship and applicability of the classical wheel-rail contact theory in turnout area，the finite element model of the wheel-rail contact in switch area was established，and several calculation programs of the normal force and tangential force on switch were compiled. By taking the typical section of the No. 18 high-speed switch rail area and the switch frog area as an example，the contact patch area and contact stress in the rolling contact theories of the Hertz，semi-Hertz，Kalker three-dimensional non-Hertz and the finite element model are compared in the normal direction. The creep forces calculated by the FASTSIM algorithm based on Hertz and semi-Hertz，the Polach model and CONTACT are compared under different working conditions. The calculation results show that as the stress-strain characteristics of the wheel-rail material is considered in the finite element model，the result is closer to the actual working conditions. The maximum difference between the contact patch areas of Hertz，semi-Hertz，Kalker non-Hertz and finite element method 50.42%，17.83% and 24.78%. The maximum difference in contact stress is 60.28%，25.25% and 32.37%. Under the different working conditions，the creep force of the four tangential force models shows the same trend with the varying creep rate. Under the same working condition，the maximum difference between the creep forces calculated by CONTACT，FASTSIM algorithm based on Hertz and half Hertz and the Polach model are 8.08%， 5.19%，and 9.70%. According to the calculation accuracy of the switch in the normal and tangential directions and computational efficiency，the semi-hertz contact theory combined with the FASTSIM algorithm has advantages in large-scale data processing.
李金城, 丁军君, 牛悦丞, 李芾, 吴朋朋. 岔区轮轨滚动接触理论分析[J]. 西南交通大学学报, 2020, 55(6): 1355-1361.
LI Jincheng, DING Junjun, NIU Yuecheng, LI Fu, WU Pengpeng. Analysis of Rolling Contact between Wheel and Rail in Switch Area. Journal of SouthWest JiaoTong University, 2020, 55(6): 1355-1361.
任尊松,翟婉明,王其昌. 轮轨接触几何关系在道岔系统动力学中的应用[J]. 铁道学报,2001,23(5): 12-15REN Zunsong, ZHAI Wanming, WANG Qichang. The use of spatial wheel/rail contact geometric relationship in the turnout system dynamics[J]. Journal of the China Railway Society, 2001, 23(5): 12-15
[2]
丁军君,李芾,黄运华. 基于半赫兹接触的车轮磨耗计算[J]. 西南交通大学学报,2011,46(2): 195-199DING Junjun, LI Fu, HUANG Yunhua. Calculation of wheel wear based on semi-Hertzian contact[J]. Journal of Southwest Jiaotong University, 2011, 46(2): 195-199
[3]
HERTZ H. On the contact of elastic solids[J]. Journal für die Reine und Angewandte Mathematik, 1882, 92: 156-171
[4]
AYASSE J, CHOLLET H. Determination of the wheel rail contact patch in semi-Hertzian conditions[J]. Vehicle System Dynamics, 2005, 43(3): 161-172
[5]
KALKER J J，JOHNSON K L. Three-dimensional elastic bodies in rolling contact[M]. Netherland：Kluwer Academic publishers，1990：268-272.
[6]
肖乾,车宇翔,周新建,等. 轮轨滚动接触棘轮效应数值分析[J]. 铁道学报,2013,35(12): 19-23XIAO Qian, CHE Yuxiang, ZHOU Xinjian, et al. Numerical analysis on ratcheting effect of rolling contact between wheel and rail[J]. Journal of the China Railway Society, 2013, 35(12): 19-23
[7]
CARTER F W. On the action of a locomotive driving wheel[J]. Proceedings of the Royal Society of London, 1926, 112(760): 151-157
[8]
JOHNSON K L. The effect of a tangential contact force on the rolling motion of an elastic sphere on a plane[J]. Journal of Applied Mechanics, 1958, 25(1): 339-346
[9]
VERMEULEN P J, JOHNSON K L. Contact of nonspherical elastic bodies transmitting tangential forces[J]. Journal of Applied Mechanics, 1964, 31(2): 338-340
[10]
SHEN Z Y，HEDRICK J K，ELKINS J A. A comparison of alternative creep force models for rail vehicle dynamic analysis[J]. Vehicle System Dynamics, 1983, 12(1/2/3)： 79-83.
[11]
KALKER J J. On the rolling contact of two elastic bodies in the presence of dry friction[D]. The Netherland： Delft University of Technology，1967.
[12]
KALKER J J. A fast algorithm for the simplified theory of rolling contact[J]. Vehicle System Dynamics, 1982, 11(1): 1-13
[13]
POLACH O. Fast wheel-rail forces calculation computer code[J]. Vehicle System Dynamics, 2000, 33(S): 728-739
