-
摘要: 为了明确机车车辆间车钩的连挂稳定性, 提出了多边形接触模型, 模拟车钩连挂面之间的接触和摩擦, 即钩头轮廓面表层采用多边形建模, 以判定接触区域, 并对接触区域进行离散化处理, 通过弹性基础模型求解接触力, 由法向接触力和切向相对速度决定对应的摩擦力, 结合《机车车辆车钩连接轮廊》(TB/T 2950—2006)、干涉分析和有限元计算验证了建模方法的可靠性; 组建了能够反映中部机车动力学特性及其钩缓装置动态行为的重载列车动力学模型, 对列车在不同工况下通过1.2%长大下坡道和300m半径曲线时机车车辆间车钩的连挂稳定性进行了分析。分析结果表明: 车钩力对车钩连挂面之间的相对运动具有较大的影响, 稳定的车钩力能够使车钩连挂面之间产生法向接触力, 若车钩连挂面之间存在相对运动或相对运动的趋势时, 便会产生相应的切向摩擦力以阻止连挂车钩之间的相对运动, 当车钩力出现波动或者较小时, 连挂车钩容易处于自由间隙状态, 因此, 不足以产生足够的约束作用而出现较大的相对运动, 此时的最大垂向相对位移达到149.5 mm, 在通过300 m半径曲线时, 水平面内也会产生最大为4.5°的相对转角以补偿车钩的偏转行为。Abstract: In order to figure out the coupling stability of couplers between locomotive and vehicle, apolygonal contact model was proposed to simulate the contact and friction of coupling surfaces between two couplers, namely, the surface of coupler knuckles was modeled by polygon way, so the contact area was determined and discretized.The contact force was solved by using the elastic foundation model, and the corresponding friction force was determined by the normal contact force and relative tangential velocity.The reliability of the presented modeling method was verified by coupler connection contour for locomotives and rolling stock(TB/T 2950—2006), interference analysis and finite element calculation.A dynamics model of heavy haul train was built to reflect the dynamics performance of middle locomotive and the dynamic behaviors of its coupler and buffer device.The coupling stability of couplers between locomotive and vehicle was analyzed when train runs down a long down-gradient with slope of 1.2% and negotiates a curve with 300 mradius under different conditions.Analysis result indicates that the coupler forces have major effect on the relative motion between the coupling surfaces of couplers, and normal contact force is generated between coupling surfaces of couplers due to stable coupler force.Ifthere exist relative motion or the motion tendency between coupling surfaces of couplers, the relative motion of coupler is prevented by the generated tangential friction force.When coupler force is fluctuant or smaller, couplers are effortless in a state of free clearance, therefore, greater relative motion occurs because generating constraints are not sufficient.The maximum vertical relative displacement of the moment reaches to approximately 149.5 mm.About 4.5° of maximum relative angle is produced in horizontal plane to compensate the deflection behavior of the couplers when negotiates a curve with 300 mradius.
-
Key words:
- locomotive /
- vehicle /
- dynamics simulation /
- coupler /
- coupling stability /
- polygonal contact model
-
表 1 计算结果对比
Table 1. Comparison of calculation results
-
[1] 杨俊杰, 刘建新, 罗世辉, 等. 重载组合列车机车车钩稳定控制试验[J]. 西南交通大学学报, 2009, 44(6): 882-886. doi: 10.3969/j.issn.0258-2724.2009.06.015YANG Jun-jie, LIU Jian-xin, LUO Shi-hui, et al. Test study on stability control of locomotive coupler in heavy haul combined train[J]. Journal of Southwest Jiaotong University, 2009, 44(6): 882-886. (in Chinese). doi: 10.3969/j.issn.0258-2724.2009.06.015 [2] 罗世辉, 封全保, 杨俊杰. 承受纵向压力时HXD2型重载机车动力学问题研究[J]. 铁道机车车辆, 2008, 28(增): 145-148, 177. https://www.cnki.com.cn/Article/CJFDTOTAL-TDJC2008S1037.htmLUO Shi-hui, FENG Quan-bao, YANG Jun-jie. Research on dynamics of the HXD2 heavy-load locomotive bearing longitudinal compressive strength[J]. Railway Locomotive and Car, 2008, 28(S): 145-148, 177. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDJC2008S1037.htm [3] MA Wei-hua, LUO Shi-hui, SONG Rong-rong. Coupler dynamic performance analysis of heavy haul locomotives[J]. Vehicle System Dynamics, 2012, 50(9): 1435-1452. doi: 10.1080/00423114.2012.667134 [4] 中国铁道科学研究院. HXD2机车DFC-E100车钩1+1牵引万吨组合列车试验报告[R]. 北京: 中国铁道科学研究院, 2008.China Academy of Railway Sciences. Test report on the ten thousand tons combined train pulled by HXD2 with DFCE100 coupler[R]. Beijing: China Academy of Railway Sciences, 2008. (in Chinese). [5] DURALI M, SHADMEHRI B. Nonlinear analysis of train derailment in severe braking[J]. Journal of Dynamic Systems, Measurement, and Control, 2003, 125(1): 48-53. doi: 10.1115/1.1541669 [6] 邹新军. 大秦线6起机车车辆分离的原因分析及建议[J]. 铁道车辆, 2008, 46(11): 39-40. doi: 10.3969/j.issn.1002-7602.2008.11.014ZOU Xin-jun. Analysis of causes to 6separation accidents in locomotive and rolling stock on Daqin Line and suggestions[J]. Rolling Stock, 2008, 46(11): 39-40. (in Chinese). doi: 10.3969/j.issn.1002-7602.2008.11.014 [7] 王发林, 李侃. 防止列车车钩自然分离事故的对策研究[J]. 铁道机车车辆, 2004, 24(5): 52-53. doi: 10.3969/j.issn.1008-7842.2004.05.019WANG Fa-lin, LI Kan. Research on countermeasure to prevent the train coupling separation accidents[J]. Railway Locomotive and Car, 2004, 24(5): 52-53. (in Chinese). doi: 10.3969/j.issn.1008-7842.2004.05.019 [8] 周卫兵, 刘义扬. 运行中货车车钩分离的原因分析及防范措施[J]. 铁道车辆, 2006, 44(6): 42-43. doi: 10.3969/j.issn.1002-7602.2006.06.014ZHOU Wei-bing, LIU Yi-yang. Analysis of causes to separation of freight car couplers in operation and preventative measures[J]. Rolling Stock, 2006, 44(6): 42-43. (in Chinese). doi: 10.3969/j.issn.1002-7602.2006.06.014 [9] COLE C, MCCLANACHAN M, SPIRYAGIN M, et al. Wagon instability in long trains[J]. Vehicle System Dynamics, 2012, 50(S1): 303-317. [10] CHERKASHIN U M, ZAKHAROV S M, SEMECHKIN A E. An overview of rolling stock and track monitoring systems and guidelines to provide safety of heavy and long train operation in the Russian Railways[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2009, 223(2): 199-208. doi: 10.1243/09544097JRRT226 [11] Transportation Safety Board of Canada. Railway investigation report R02C0050[R]. Ottawa: Transportation Safety Board of Canada, 2002. [12] WU Qing, LUO Shi-hui, XU Zi-qiang, et al. Coupler jackknifing and derailments of locomotives on tangent track[J]. Vehicle System Dynamics, 2013, 51(11): 1784-1800. doi: 10.1080/00423114.2013.830184 [13] 吴庆, 罗世辉, 魏冲锋, 等. 货运机车车钩缓冲装置动力学仿真模型[J]. 交通运输工程学报, 2012, 12(3): 37-43. doi: 10.3969/j.issn.1671-1637.2012.03.008WU Qing, LUO Shi-hui, WEI Chong-feng, et al. Dynamics simulation models of coupler systems for freight locomotive[J]. Journal of Traffic and Transportation Engineering, 2012, 12(3): 37-43. (in Chinese). doi: 10.3969/j.issn.1671-1637.2012.03.008 [14] 许自强, 罗世辉, 马卫华, 等. 机车关键参数对车钩转角与机车运行安全性的影响[J]. 交通运输工程学报, 2013, 13(3): 47-52. http://transport.chd.edu.cn/article/id/201303007XU Zi-qiang, LUO Shi-hui, MA Wei-hua, et al. Influence of locomotive key parameters on coupler rotation angle and locomotive running safety[J]. Journal of Traffic and Transportation Engineering, 2013, 13(3): 47-52. (in Chinese). http://transport.chd.edu.cn/article/id/201303007 [15] XU Zi-qiang, MA Wei-hua, WU Qing, et al. Coupler rotation behaviour and its effect on heavy haul trains[J]. Vehicle System Dynamics, 2013, 51(12): 1818-1838. doi: 10.1080/00423114.2013.834369 [16] XU Zi-qiang, MA Wei-hua, WU Qing, et al. Analysis of the rotation angle of a coupler used on heavy haul locomotives[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2014, 228(8): 835-844. [17] YAO Yuan, LIU Xu, ZHANG Hong-jun, et al. The stability and mechanical characteristics of heavy haul couplers with restoring bumpstop[J]. Vehicle System Dynamics, 2014, 52(1): 26-44. [18] YAO Yuan, ZHANG Xiao-xia, ZHANG Hong-jun, et al. The stability mechanism and its application to heavy-haul couplers with arc surface contact[J]. Vehicle System Dynamics, 2013, 51(9): 1324-1341. [19] YAO Yuan, ZHANG Xiao-xia, ZHANG Hong-jun. Dynamic performances of an innovative coupler used in heavy haul trains[J]. Vehicle System Dynamics, 2014, 52(10): 1288-1303. [20] 许英奎. 铁路货车车钩分离原因分析及预防[J]. 沈阳工程学院学报: 自然科学版, 2012, 8(3): 266-269. https://www.cnki.com.cn/Article/CJFDTOTAL-SYDL201203023.htmXU Ying-kui. Cause analysis and preventative measures of coupler separation of railway freight car[J]. Journal of Shenyang Institute of Engineering: Natural Science, 2012, 8(3): 266-269. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SYDL201203023.htm [21] HIPPMANN G. An algorithm for compliant contact between complexly shaped bodies[J]. Multibody System Dynamics, 2004, 12(4): 345-362. [22] 丁莉芬. 重载列车纵向动力学建模研究[D]. 北京: 北京交通大学, 2012.DING Li-fen. Study on modelling the longitudinal dynamics of heavy haul train[D]. Beijing: Beijing Jiaotong University, 2012. (in Chinese).