Vibration Fatigue Fracture Mechanism of e-Type Clip Under Rail Corrugation Excitation
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摘要:
为研究地铁小半径曲线轨道上e型弹条异常断裂的原因，通过长期跟踪和测量成都地铁X号线钢轨波磨的发展情况，并基于摩擦自激振动理论，建立轮对-轨道-扣件系统的全实体单元有限元模型；采用隐式动态分析方法和谐响应分析方法，研究短波长波磨、长波长波磨对e型弹条振动疲劳寿命的影响. 研究表明：这2种类型的钢轨波磨都会导致地铁e型弹条振动疲劳寿命减小；波磨幅值越大，导致弹条的振动疲劳寿命越小；钢轨波磨不仅能够引起e型弹条产生与钢轨波磨“同频”的受迫振动，还容易激发弹条产生该频率的倍频振动；对于短波长波磨而言，由于2倍频的存在，在相同波深幅值的短波长波磨影响下，25 mm 和40 mm波长的钢轨波磨最容易导致e型弹条产生振动疲劳断裂；波长为120 mm的长波长波磨的波深幅值较大时，激发出的6倍频振动导致弹条的振动疲劳寿命急剧减小；由于振动强度的减弱，波长为240 mm的长波长波磨对弹条振动疲劳寿命的影响有限.
Abstract:To study the reason for the abnormal fracture of e-type clips on small-radius curved subway tracks, the development of rail corrugation on Line X of the Chengdu Metro over an extended period was monitored and measured. Based on the theory of friction-induced self-excited vibration, a comprehensive solid finite element model of the wheelset−rail−fastening system was established. The effects of short-pitch rail corrugation and long-pitch rail corrugation on the vibration fatigue life of e-type clips were studied by means of implicit dynamic analysis and harmonic response analysis. The study reveals that both types of rail corrugation result in a decrease in the vibration fatigue life of the e-type clips. Greater amplitude of rail corrugation indicates shorter vibration fatigue life of the clips. Rail corrugation can not only induce the e-type clip to generate forced vibrations at the frequency matching that of the rail corrugation but also easily trigger vibrations at multiples of this frequency in the e-type clips. For short-pitch rail corrugation, due to the existence of a frequency twice that of the rail corrugation, the rail corrugation with wavelengths of 25 mm and 40 mm is most likely to lead to vibration fatigue failure of the e-type clips under the influence of short-pitch and long-pitch rail corrugation with the same wave depth amplitude. When the wave depth amplitude of long-pitch rail corrugation with a wavelength of 120 mm is large, the vibration fatigue life of the clips decreases sharply due to the excited 6-fold vibration. However, the long-pitch rail corrugation with a wavelength of 240 mm has only a limited impact on the vibration fatigue life of the clips due to the attenuation of vibration intensity.
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图 1 小半径曲线轨道的低轨上产生的短波长波磨和长波长波磨
Figure 1. Short-pitch and long-pitch rail corrugation arising on low rail of small-radius curved tracks
图 2 发生在钢轨波磨区域的e型弹条断裂
Figure 2. e-type clip fracture occurring in rail corrugation area
图 4 地铁e型弹条振动加速度的PSD分析结果
Figure 4. PSD analysis results of vibration acceleration of e-type clip
图 9 e型弹条振动加速度的谐响应分析结果
Figure 9. Harmonic response analyis results of vibration acceleration of e-type clip
图 10 轮对-轨道-扣件系统有限元模型
Figure 10. Finite element model of wheelset‒rail‒fastening system
图 11 预测得到的轮轨系统不稳定振动的频率
Figure 11. Predicted unstable vibration frequencies in wheelset‒rail system
图 12 添加了周期性不平顺的有限元模型（振幅放大8倍）
Figure 12. Finite element model with periodic irregularity （vibration amplitude is enlarged by 8 times）
图 13 不同轨道上的弹条振动加速度
Figure 13. Vibration acceleration of e-type clip on different tracks
图 14 e型弹条振动加速的PSD分析结果
Figure 14. PSD analysis resukts of vibration acceleration of e-type clip
图 15 钢轨波磨影响下的e型弹条振动疲劳寿命云图
Figure 15. Cloud map of vibration fatigue life of e-type clip under influence of rail corrugation
图 16 短波长波磨的幅值、波长变化对弹条振动疲劳寿命的影响
Figure 16. Effect of amplitude and wavelength variation in short-pitch rail corrugation on vibration fatigue life of clip
图 18 长波长波磨的幅值变化对弹条振动疲劳寿命的影响
Figure 18. Effect of amplitude variation in long-pitch rail corrugation on vibration fatigue life of clip
图 19 长波长波磨引起的弹条振动加速度PSD分析结果
Figure 19. PSD analysis results of vibration acceleration of clip caused by long-pitch rail corrugation
表 1 2处曲线轨道的线路参数
Table 1. Line parameters of two curved tracks
位置 缓和曲线
长度/m超高/
mm曲线
半径/m曲线
长度/m第 1 处
曲线轨70 85 500 199.280 第 2 处
曲线轨60 115 350 651.031 
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表 2 发生在弯轨上的钢轨波磨的位置信息及类型
Table 2. Types and location information of rail corrugation at curved tracks
区段 第 1 次观测
（开通前）第 2 次观测
（空载试运营）第 3 次观测
（开通后两个月）第 4 次观测
（开通后一年）R = 350 m 的曲线轨道低轨 无波磨 短波：
22～25 mm短波：
22～30 mm短波：22～30 mm、40～50 mm
长波：120～250 mmR = 350 m 的曲线轨道高轨 无波磨 无波磨 无波磨 无波磨 R = 500 m 的曲线轨道高轨和低轨 无波磨 无波磨 无波磨 无波磨 直线轨道 无波磨 无波磨 无波磨 无波磨
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表 3 扣件系统的材料参数
Table 3. Material parameters of fastening system
部件 密度/
（g·cm−3）弹性模量/
MPa泊松比 轨距挡块 1.57 8500 0.4 弹条 7.80 2.06 × 105 0.3 铁垫板 7.80 1.73 × 105 0.26
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表 4 不同“低通信号”下的e型弹条振动疲劳寿命
Table 4. Vibration fatigue life of e-type clips under influence of different “low-pass signals”
信号 振动疲劳寿命/（×106次） 完整信号 1.18 2.0 kHz“低通” 1.185 1.2 kHz“低通” 2.637
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[1] COLLETTE C, VANHONACKER P, BASTAITS R, et al. Comparison between time and frequency studies of a corrugated curve of RER Paris network[J]. Wear, 2008, 265(9): 1249-1258. [2] TORSTENSSON P T, NIELSEN J C O. Monitoring of rail corrugation growth due to irregular wear on a railway metro curve[J]. Wear, 2009, 267(1/2/3/4): 556-561. [3] CARLBERGER A, TORSTENSSON P T, NIELSEN J C, et al. An iterative methodology for the prediction of dynamic vehicle–track interaction and long-term periodic rail wear[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2018, 232(6): 1718-1730. doi: 10.1177/0954409717747127 [4] 陈光雄. 钢轨波磨预测模型验证工况的研究[J]. 西南交通大学学报,2022,57(5): 1017-1023,1054.CHEN Guangxiong. Study on validation conditions of rail corrugation prediction models[J]. Journal of Southwest Jiaotong University, 2022, 57(5): 1017-1023,1054. [5] ZHANG H G, LIU W N, LIU W F, et al. Study on the cause and treatment of rail corrugation for Beijing metro[J]. Wear, 2014, 317(1/2): 120-128. [6] GRASSIE S L, KALOUSEK J. Rail corrugation: characteristics, causes and treatments[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 1993, 207(1): 57-68. doi: 10.1243/PIME_PROC_1993_207_227_02 [7] GRASSIE S L. Rail corrugation: characteristics, causes, and treatments[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2009, 223(6): 581-596. doi: 10.1243/09544097JRRT264 [8] OOSTERMEIJER K H. Review on short pitch rail corrugation studies[J]. Wear, 2008, 265(9/10): 1231-1237. [9] VALEHRACH J, GUZIUR P, RIHA T, et al. Assessment of rail long-pitch corrugation[J]. IOP Conference Series: Materials Science and Engineering,2017,236:012048.1-012048.8. [10] 杜茂金. 南京地铁DT Ⅵ2型扣件弹条折断原因分析[J]. 城市轨道交通研究,2009,12(7): 40-42.DU Maojin. Analysis of DT Ⅵ2 type fastener broken shells in Nanjing metro[J]. Urban Mass Transit, 2009, 12(7): 40-42. [11] 肖宏,马春生,郭骁,等. e型扣件弹条断裂原因频谱分析[J]. 同济大学学报(自然科学版),2017,45(7): 1000-1008.XIAO Hong, MA Chunsheng, GUO Xiao, et al. Fractures of e-type fastening clip by spectral analysis method[J]. Journal of Tongji University (Natural Science), 2017, 45(7): 1000-1008. [12] LING L, LI W, SHANG H X, et al. Experimental and numerical investigation of the effect of rail corrugation on the behaviour of rail fastenings[J]. Vehicle System Dynamics, 2014, 52(9): 1211-1231. doi: 10.1080/00423114.2014.934844 [13] WANG P, LU J, ZHAO C Y, et al. Numerical investigation of the fatigue performance of elastic rail clips considering rail corrugation and dynamic axle load[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2020, 235(3): 339-352. [14] XIAO H, WANG J B, ZHANG Y R. The fractures of e-type fastening clips used in the subway: theory and experiment[J]. Engineering Failure Analysis, 2017, 81: 57-68. doi: 10.1016/j.engfailanal.2017.07.006 [15] XIAO H, GUO X, Wang H Y, et al. Fatigue damage analysis and life prediction of e-clip in railway fasteners based on ABAQUS and FE-SAFE[J]. Advances in Mechanical Engineering, 2018, 10(3): 1-12. [16] MA D K, SHI J, YAN Z Q, et al. Experimental and numerical investigation of the effect of the assembled state on the static-dynamic characteristics and fatigue performance of railway fastening clips[J]. Structures, 2022, 46: 1808-1822. doi: 10.1016/j.istruc.2022.11.038 [17] HASAP A, PAITEKUL P, NORAPHAIPHIPAKSA N, et al. Influence of toe load on the fatigue resistance of elastic rail clips[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2018, 232(4): 1078-1087. doi: 10.1177/0954409717707834 [18] HASAP A, PAITEKUL P, NORAPHAIPHIPAKSA N, et al. Analysis of the fatigue performance of elastic rail clip[J]. Engineering Failure Analysis, 2018, 92: 195-204. doi: 10.1016/j.engfailanal.2018.05.013 [19] 崔晓璐,彭双千,徐佳,等. 钢轨波磨区段科隆蛋扣件弹条断裂机理[J]. 西南交通大学学报,2023:1-9.CUI Xiaolu, PENG Shuangqian, XU Jia, et al. Fracture Mechanism of Cologne-Egg Fastener Clip in Corrugated Sections of Metros[J]. Journal Of Southwest Jiaotong University, 2023: 1-9. [20] SADEGHI J, SEYEDKAZEMI M, KHAJEHDEZFULY A. Nonlinear simulation of vertical behavior of railway fastening system[J]. Engineering Structures,2020,209(C):110340.13-110340.13. [21] 徐井芒,梁新缘,王凯,等. 扣件刚度非线性对波磨区轮轨瞬态滚动接触行为影响研究[J]. 西南交通大学学报,2024,59(2): 1-8.Xu Jingmang, Liang Xinyuan, Wang Kai, et al. Influence of fastener stiffness nonlinearity on wheel-rail transient rolling contact behavior in corrugated area[J]. Journal of Southwest Jiaotong University, 2024, 59(2): 1-8. [22] WANG Z Q, LEI Z Y, ZHAO Y, et al. Rail Corrugation Characteristics of Cologne Egg Fastener Section in Small Radius Curve[J]. Shock and Vibration, 2020, 2020: 1-12. [23] LIU X G, WANG P. Investigation of the generation mechanism of rail corrugation based on friction induced torsional vibration[J]. Wear, 2021, 468/469: 203593, 9. [24] GRASSIE S L. Rail corrugation: a problem solved?[J]. Wear, 2023, 530/531(9/10): 1-8. [25] DONG B J, CHEN G X, SONG Q F, et al. Study on long-term tracking of rail corrugation and the influence of parameters[J]. Wear, 2023, 523(1-2): 1-13. [26] SUN L L, YAN Z Q, XIAO J H, et al. Experimental analysis of the modal characteristics of rail fastening clips[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2019, 234(2): 134-141. [27] OREGUI M, LI Z, DOLLEVOET R. Identification of characteristic frequencies of damaged railway tracks using field hammer test measurements[J]. Mechanical Systems and Signal Processing, 2015, 54/55: 224-242. doi: 10.1016/j.ymssp.2014.08.024 [28] KINKAID N, O’REILLY O, PAPADOPOULOS P. Automotive disc brake squeal[J]. Journal of Sound and Vibration, 2003, 267(1): 105-166. doi: 10.1016/S0022-460X(02)01573-0 [29] 国家质量监督检验检疫总局,中国国家标准化管理委员会. 弹簧钢:GB/T 1222—2016[S]. 北京:中国标准出版社,2016. [30] CUI X L, BAO P Y, LI Tong, et al. Research on the failure mechanism of elastic strip fracture in corrugated sections of metros[J]. Engineering Failure Analysis, 2023, 143: 1-12. -
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