-
摘要: 利用大型有限元商业软件ABAQUS建立了车辆-齿轨铁路导入装置耦合动力学有限元模型;仿真了齿轨车辆通过齿轨铁路导入装置的过程,分析了车辆与齿轨铁路导入装置的动态相互作用;考虑不同参数的影响,研究了齿轨铁路导入装置振动响应、结构应力、动态接触力等动态特性响应规律。研究结果表明:随着支撑弹簧预紧力的增大,齿轮转速能更快达到与车速匹配的速度,且总体上同步装置振动与动态应力会增大,入齿装置振动和动态应力将减小,校正装置振动也将减小;确定合理的支撑弹簧预紧力,应综合考虑结构应力及振动水平,在本文计算工况中,建议预紧力取3 kN;齿轨铁路导入装置的最大振动速度为5.66 m·s-1,振动速度最大均方根为1.31 m·s-1,最大振动加速度为5 657.82 m·s-2,振动加速度最大均方根为479.36 m·s-2,都出现在支撑弹簧预紧力1 kN工况下;随着齿轮初始转速增加至车速,总体上同步装置垂向振动变化不大,纵向振动减小,齿轮初始转速越接近车速越好;列车通过速度越大,齿轮对整个齿轨铁路导入装置的冲击力越大,因此,确定合理的列车通过速度,应综合考虑冲击振动及行车效率,在计算的5和10 km·h-1的速度中,建议通过速度为5 km·h-1或者低于5 km·h-1。Abstract: The coupled dynamics finite element model of the vehicle-rack railway guiding equipment (RRGE) was established by using the large finite element commercial software ABAQUS. The whole process of vehicle passing through the RRGE was simulated, and the dynamic interaction between the vehicle and the RRGE was analyzed. Considering the influences of different parameters, the dynamic performance response laws such as the vibration response, structural stress and dynamic contact force of rack railway guiding equipment were studied. Research results indicate that as the increase of the supporting spring preload, the rotating speeds of the gear increase to the value that matching the train speed more promptly. And generally the vibrations and dynamic stress of the synchronous section increase, while both the vibrations and dynamic stress of the entry section and the vibration of the calibration section decrease. The reasonable supporting spring preload should be determined by considering the effect of structural stress and vibration level comprehensively. For the calculation scenarios in this paper, the reasonable supporting spring preload is recommended to be 3 kN. The vibration speed, the root mean square of the vibration speed, the vibration acceleration, and the root mean square of the vibration acceleration reach their maximum values (e.g. 5.66 m·s-1, 1.31 m·s-1, 5 657.82 m·s-2, 479.36 m·s-2) under the condition that the supporting spring preload is 1 kN. As the increase of the initial rotating speed of the gear up to the train speed, the vertical vibration of the synchronous section varies little in general, and the longitudinal vibration decreases, indicating that it is better to set the initial rotating speed of the gear equal to the train speed. The impact force acting to the RRGE structure from the gear increases with the increase of train speed, therefore, the reasonable train speed passing by the RRGE should be determined by considering the factors comprehensively such as the impact vibration and the operation efficiency. For the calculated speeds of 5 and 10 km·h-1, it is recommended that the reasonable train speed passing by the RRGE should be 5 km·h-1 or less. 5 tabs, 15 figs, 30 refs.
-
表 1 齿轮与齿条传动设计参数
Table 1. Gear and rack drive design parameters
参数 齿轮 齿条 全齿高/mm 62.580 52.115 模数/mm 31.831 31.831 齿形角/(°) 14.036 14.036 齿宽/mm 60 60 齿数 22 齿顶高系数 0.9 顶隙系数 0.166 表 2 齿轨铁路导入装置最大垂向位移
Table 2. Maximum vertical displacements of RRGE
预紧力/kN 轨道位置 垂向位移/mm 1 入齿装置左端 197.34 2 入齿装置左端 66.38 3 入齿装置左端 46.51 1 入齿装置右端 82.09 2 入齿装置右端 64.28 3 入齿装置右端 12.06 1 校正装置左端 56.63 2 校正装置左端 18.48 3 校正装置左端 4.63 表 3 同步装置底板应力
Table 3. Base plate stresses of synchronous section
预紧力/kN 位置 应力最大值/MPa 应力均方根/MPa 1 左 53.21 8.22 2 左 72.35 14.07 3 左 59.86 16.42 1 中 62.58 18.50 2 中 100.75 37.06 3 中 142.23 54.16 1 右 37.35 7.64 2 右 55.38 12.76 3 右 72.58 15.99 表 4 垂向接触力仿真计算结果
Table 4. Simulation results of vertical contact force
速度/(km·h-1) 接触对 最大值/kN 均方根/kN 5 齿轮-同步装置 36.65 7.27 5 齿轮-入齿装置 49.12 8.07 5 齿轮-校正装置 13.72 0.97 10 齿轮-同步装置 82.13 8.94 10 齿轮-入齿装置 124.18 16.97 10 齿轮-校正装置 188.52 16.85 表 5 纵向接触力仿真计算结果
Table 5. Simulation results of longitudinal contact force
速度/(km·h-1) 接触对 最大值/kN 均方根/kN 5 齿轮-同步装置 61.36 2.47 5 齿轮-入齿装置 56.91 11.05 5 齿轮-校正装置 55.08 3.55 10 齿轮-同步装置 114.93 4.30 10 齿轮-入齿装置 267.99 30.86 10 齿轮-校正装置 342.07 38.51 -
[1] WEBER M, ABT M S. Rack-railway locomotives of the Swiss mountain railways[J]. Proceedings of the Institution of Mechanical Engineers, 1911, 81(1): 539-577. doi: 10.1243/PIME_PROC_1911_081_007_02 [2] 王争鸣. 复杂山区铁路选线思路及理念[J]. 铁道工程学报, 2016, 33(10): 5-9. https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201610002.htmWANG Zheng-ming. Methods and ideas of railway route selection in complicated mountainous areas[J]. Journal of Railway Engineering Society, 2016, 33(10): 5-9. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201610002.htm [3] 井国庆, 杜文博, 蔡向辉, 等. 齿轨铁路齿轨系统及轨下基础研究[J]. 中国铁路, 2021(3): 94-100. https://www.cnki.com.cn/Article/CJFDTOTAL-TLZG202103017.htmJING Guo-qing, DU Wen-bo, CAI Xiang-hui, et al. Track structure system and stress of rack railway[J]. China Railway, 2021(3): 94-100. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TLZG202103017.htm [4] 冯帅. 山区旅游观光铁路车辆选型探讨[J]. 铁道建筑技术, 2017(2): 27-30. https://www.cnki.com.cn/Article/CJFDTOTAL-TDJS201702008.htmFENG Shuai. Discussion on vehicle selection of mountain tourist railway[J]. Railway Construction Technology, 2017(2): 27-30. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDJS201702008.htm [5] 沈健. 山地齿轨旅游交通系统技术及应用研究[J]. 机械工程与自动化, 2020(4): 222-224. https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX202004092.htmSHEN Jian. Research on technology and application of mountainous rack tourism transportation system[J]. Mechanical Engineering and Automation, 2020(4): 222-224. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX202004092.htm [6] STARBUCK D R. The Cog Railway on Mount Washington[J]. The Journal of the Society for Industrial Archeology, 1994, 20(1/2): 101-118. [7] SMITH P. Thomas Cook and Son's Vesuvius Railway[J]. Japan Railway and Transport Review, 1998, 15(3): 10-15. [8] 牛悦丞, 李芾, 丁军君, 等. 齿轨铁路发展及应用现状综述[J]. 铁道标准设计, 2019, 63(12): 37-43. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201912008.htmNIU Yue-cheng, LI Fu, DING Jun-jun, et al. Overview of mountain rack railway development and application[J]. Railway Standard Design, 2019, 63(12): 37-43. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201912008.htm [9] 姬燕男. 张家界七星山齿轨铁路编组方案研究[J]. 甘肃科学学报, 2021, 33(6): 62-68.JI Yan-nan. Research on the marshalling scheme of Qixing Mountain Rack Railway in Zhangjiajie[J]. Journal of Gansu Sciences, 2021, 33(6): 62-68. (in Chinese) [10] 尚勤, 李廉枫, 涂旭. 国外齿轨铁路技术的发展及运用[J]. 机车电传动, 2019(2): 9-15. https://www.cnki.com.cn/Article/CJFDTOTAL-JCDC201902002.htmSHANG Qin, LI Lian-feng, TU Xu. Development and application of foreign cog railways and rack vehicles[J]. Electric Drive for Locomotives, 2019(2): 9-15. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JCDC201902002.htm [11] 余浩伟, 章玉伟, 陈粒. 齿轨铁路技术特点与应用展望研究[J]. 铁道工程学报, 2020, 37(10): 6-10. https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC202010002.htmYU Hao-wei, ZHANG Yu-wei, CHEN Li. Research on the technical characteristics and application prospect of the rack railway[J]. Journal of Railway Engineering Society, 2020, 37(10): 6-10. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC202010002.htm [12] 舒睿洪, 陈志辉, 杨吉忠, 等. 山地齿轨系统结构特点及关键参数选型设计[J]. 铁道工程学报, 2021, 38(9): 24-28, 67. https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC202109005.htmSHU Rui-hong, CHEN Zhi-hui, YANG Ji-zhong, et al. Structural characteristics and key structure parameter selections of mountain cog railway[J]. Journal of Railway Engineering Society, 2021, 38(9): 24-28, 67. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC202109005.htm [13] 潘相楠, 唐岚, 寇峻瑜, 等. 山地齿轨铁路发展现状及国内应用前景研究[J]. 黑龙江科学, 2020, 11(4): 10-14. https://www.cnki.com.cn/Article/CJFDTOTAL-HELJ202004003.htmPAN Xiang-nan, TANG Lan, KOU Jun-yu, et al. Development status and domestic application research of cog railway[J]. Heilongjiang Science, 2020, 11(4): 10-14. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HELJ202004003.htm [14] NAGY A, LAKATOS I. Examining the movement differences in the behavior of normal and rack railway vehicle[J]. International Journal of Engineering and Management Sciences, 2019, 4(1): 96-103. doi: 10.21791/IJEMS.2019.1.13. [15] 刘宗峰. 齿轨铁路设计规范编制中桥梁荷载取值研究[J]. 铁道标准设计, 2019, 63(12): 102-106. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201912020.htmLIU Zong-feng. Study on bridge load value in compiling design code for rack rail[J]. Railway Standard Design, 2019, 63(12): 102-106. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201912020.htm [16] 刘宗峰. 旅游轨道交通桥梁设计特点分析——以张家界市旅游轨道交通为例[J]. 铁道标准设计, 2019, 63(6): 77-82. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201906018.htmLIU Zong-feng. Analysis of bridge design characteristics of tourism rail transit—taking Zhangjiajie tourist rail transit as an example[J]. Railway Standard Design, 2019, 63(6): 77-82. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201906018.htm [17] 李粮余, 欧灵畅, 尤睿, 等. 山地米轨铁路有砟轨道结构稳定性研究[J]. 铁道工程学报, 2019, 36(12): 23-28. https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201912005.htmLI Liang-yu, OU Ling-chang, YOU Rui, et al. Research on the stability of ballasted track structure in mountainous metergage railway[J]. Journal of Railway Engineering Society, 2019, 36(12): 23-28. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDGC201912005.htm [18] 张永权, 王薇, 刘朝辉, 等. 重型采煤机齿轨轮齿形优化与啮合仿真[J]. 煤矿机电, 2016(2): 37-40. https://www.cnki.com.cn/Article/CJFDTOTAL-MKJD201602011.htmZHANG Yong-quan, WANG Wei, LIU Zhao-hui, et al. Gear shape optimization and meshing simulation of heavy shearer[J]. Colliery Mechanical and Electrical Technology, 2016(2): 37-40. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MKJD201602011.htm [19] 马雁翔, 续利文. 基于Pro/E采煤机复合齿廓销轨轮啮合仿真[J]. 煤矿机械, 2012, 33(7): 90-91. https://www.cnki.com.cn/Article/CJFDTOTAL-MKJX201207043.htmMA Yan-xiang, XU Li-wen. Compound tooth profile pin gear meshing simulation of coal shearer based Pro/E[J]. Coal Mine Machinery, 2012, 33(7): 90-91. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MKJX201207043.htm [20] 赵冠闯, 冯济桥, 丁军君, 等. 车体重心高度和转动惯量对齿轨车辆动力学性能的影响[J]. 铁道标准设计, 2021, 65(9): 181-186, 193. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS202109033.htmZHAO Guan-chuang, FENG Ji-qiao, DING Jun-jun, et al. Influence of height of gravity center and moment of inertia on vehicle dynamic performance[J]. Railway Standard Design, 2021, 65(9): 181-186, 193. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS202109033.htm [21] 蔡向辉, 张乾, 贺天龙. 张家界七星山齿轨铁路轨道技术研究[J]. 铁道标准设计, 2020, 64(7): 76-81. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS202007014.htmCAI Xiang-hui, ZHANG Qian, HE Tian-long. Research on track technology of Qixing Mountain Rack Railway in Zhangjiajie[J]. Railway Standard Design, 2020, 64(7): 76-81. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS202007014.htm [22] 张乾, 蔡小培, 蔡向辉, 等. 齿轨铁路轨道-简支梁桥相互作用及轨缝合理位置研究[J]. 工程力学, 2021, 38(3): 248-256. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX202103023.htmZHANG Qian, CAI Xiao-pei, CAI Xiang-hui, et al. Research on simply supported beam-track interaction and reasonable gap position of rack railway[J]. Engineering Mechanics, 2021, 38(3): 248-256. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX202103023.htm [23] 张乾, 蔡向辉, 蔡小培, 等. 现代齿轨铁路无砟轨道纵向力学特性及结构适用性研究[J]. 铁道建筑, 2021, 61(5): 115-119. https://www.cnki.com.cn/Article/CJFDTOTAL-TDJZ202105026.htmZHANG Qian, CAI Xiang-hui, CAI Xiao-pei, et al. Research on longitudinal mechanical characteristics and structure applicability of ballastless track of modern rack railway[J]. Railway Engineering, 2021, 61(5): 115-119. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TDJZ202105026.htm [24] 韩义涛, 田春香, 张沐然, 等. 大坡道米轨道床阻力及轨排稳定性研究[J]. 铁道标准设计, 2022, 66(2): 16-22.HAN Yi-tao, TIAN Chun-xiang, ZHANG Mu-ran, et al. Research on resistance of large ramp meter-gauge rail bed and track panel stability[J]. Railway Standard Design, 2022, 66(2): 16-21. (in Chinese) [25] 杜文博, 苏成光, 韩笑东, 等. 齿轨铁路联结部件受力分析及纵向阻力研究[J]. 铁道标准设计, 2021, DOI: 10.13238/j.issn.1004-2954.202103020002.DU Wen-bo, SU Cheng-guang, HAN Xiao-dong, et al. Mechanical analysis and longitudinal resistance research on connection parts of rack railway[J]. Railway Standard Design, 2021, DOI: 10.13238/j.issn.1004-2954.202103020002.(in Chinese) [26] 代丰, 杨吉忠, 杨文茂, 等. 齿轨铁路活性粉末混凝土轨枕结构与力学性能研究[J]. 铁道标准设计, 2021, DOI: 10.13238/j.issn.1004-2954.202110140001.DAI Feng, YANG Ji-zhong, YANG Wen-mao, et al. Research on structure and mechanical properties of reactive powder concrete sleeperfor rack railway[J]. Railway Standard Design, 2021, DOI: 10.13238/j.issn.1004-2954.202110140001.(in Chinese) [27] 王坚强, 卢剑锋, 陈志辉, 等. 齿轨岔区可动齿条转换方案探讨[J]. 铁路通信信号工程技术, 2021, 18(7): 22-24, 53. https://www.cnki.com.cn/Article/CJFDTOTAL-TLTX202107007.htmWANG Jian-qiang, LU Jian-feng, CHEN Zhi-hui, et al. Discussion on conversion scheme of movable rack in rack rail turnout section[J]. Railway Signalling and Communication Engineering, 2021, 18(7): 22-24, 53. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TLTX202107007.htm [28] 赵轩, 温炎丰, 吴晓, 等. 基于动力学仿真的齿轨车辆限界研究[J]. 机械工程与自动化, 2021(3): 50-55. https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX202103016.htmZHAO Xuan, WEN Yan-feng, WU Xiao, et al. Gauge calculation of rack vehicles based on dynamics simulation[J]. Mechanical Engineering and Automation, 2021(3): 50-55. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX202103016.htm [29] CHEN Zhao-wei, LI Shi-hui. Dynamic evaluation and optimization of layout mode of traction motor in rack vehicle[J]. Nonlinear Dynamics, 2021, 106(4): 3025-3050. [30] FORRESTER B D. Advanced vibration analysis techniques for fault detection and diagnosis in geared transmission systems[D]. Melbourne: Swinburne University of Technology, 1996.