Abstract:A finite element vehicle-track coupling dynamic model was established to determine the reasonable stiffness of the vibration-reduction track of urban rail transit. The dynamic responses under the condition of 3~200 kN/mm rail support stiffness and 3~6 level rail irregularity spectrum were calculated. The velocity and acceleration signals were processed with a wavelet packet method to obtain the relationship between rail support stiffness, rail irregularity ,and vibration energy. Finally, the suggested rail support stiffness was put forward to reach the lowest energy. The results show that the velocity decreases monotonously with the rail support stiffness, while the acceleration decreases at first and then increases; the high stiffness track is more sensitive to irregularity, so the aggravation of the irregularity will enlarge the vibration energy; the optimal rail support stiffness of urban rail transit should be 5~10 kN/mm, which can be achieved using the combination of low stiffness fastener, sleeper or track; the steel-spring floating-slab has the widest range of application.
Keywords: vibration damping track; energy characteristics; wavelet packet analysis; rail support stiffness
王启好,蔡小培,常文浩,张乾. 基于振动能量的城市轨道交通减振轨道刚度研究[J]. 振动与冲击, 2022, 41(13): 81-88.
WANG Qihao, CAI Xiaopei, CHANG Wenhao, ZHANG Qian. Vibration reduction track stiffness of urban rail transit based on vibration energy. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(13): 81-88.
[1] 高亮,赵闻强,钟阳龙,等. 轨道工程精细-均衡分析理论初探[J]. 北京交通大学学报,2020,44(01):1-11.
GAO Liang, ZHAO Wen-qiang, ZHONG Yang-long, et al. Preliminary Study on Detailed & Equilibrium Analysis Theory in Railway Projects[J]. Journal of Beijing Jiaotong University, 2020, 44(01): 1-11.
[2] 赵国堂. 铁路轨道刚度的确定方法[J]. 中国铁道科学,2005,26(01):2-7.
ZHAO Guo-tang. Method for Determining the Rigidity of Railway Track[J]. China Railway Science, 2005, 26(01): 2-7.
[3] 刘学毅. 轨道刚度的影响分析及动力学优化[J]. 西南交通大学学报,2004,39(01):1-5.
LIU Xue-yi. Effect Analysis of Track Stiffness on Dynamic Characteristics of Wheel-Rail System and Its Dynamic Optimization[J]. Journal of Southwest Jiaotong University, 2004, 39(01): 1-5.
[4] Germonpré M, Nielsen J C O, Degrande G, et al. Contributions of Longitudinal Track Unevenness and Track Stiffness Variation to Railway Induced Vibration[J]. Journal of Sound and Vibration, 2018(437): 292-307.
[5] 张瑾,马兴瑞,韩增尧,等. 基于有限元的能量流分析方法研究[J]. 振动与冲击,2012,31(08):47-51.
ZHANG Jin, MA Xing-rui, HAN Zeng-yao. Energy flow analysis based on finite element method[J]. Journal of Vibration and Shock, 2012, 31(08): 47-51.
[6] 余亮亮,雷晓燕,罗锟. 基于混合有限元-统计能量分析的箱梁结构噪声特性分析[J/OL]. 应用声学:1-13[2020-11-30]. http://kns.cnki.net/kcms/detail/11.2121.O4.20200826.1611.007.html.
YU Liang-liang, LEI Xiao-yan, LUO Kun. Noise Analysis of Box Girder Structure Based on Hybrid Finite Element-statistical Energy Analysis[J/OL]. Journal of Applied Acoustics: 1-13[2020-11-30]. http://kns.cnki.net/kcms/detail/11.2121.O4.20200826.1611.007.html.
[7] 谷爱军,范俊杰. 浮置板轨道竖向振动能量传递分析[J]. 铁道学报,2004,26(05):125-128.
GU Ai-jun, FAN Jun-jie. Analysis of Vertical Vibration Energy Transmission of the Floating Slab Track Structure[J]. Journal of the China Railway Society, 2004, 26(05): 125-128.
[8] 付娜,刘钰,赵振航,等. 减振型双块式无砟轨道振动能量特性研究[J]. 铁道学报,2018,40(10):111-118.
FU Na, LIU Yu, ZHAO Zhen-hang, et al. Study of Vibration Energy Properties of Double-block Ballastless Damping Track[J]. Journal of the China Railway Society, 2018, 40(10): 111-118.
[9] 王振宇,梁旭,陈银鲁,等. 基于输入能量的爆破震动安全评价方法研究[J]. 岩石力学与工程学报,2010,29(12):2492-2499.
WANG Zhen-yu, LIANG Xu, CHEN Yin-lu, et al. Study of Safety Evaluation Method of Blasting Vibration Based on Input Energy[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(12): 2492-2499.
[10] Garinei A, Risitano G, Scappaticci L, et al. An optimized method to evaluate the performance of trench isolation for railway-induced vibration[J]. Measurement, 2016, 94: 92-102.
[11] 李小珍,陈桂媛,朱艳,等.高速铁路轨道-桥梁-土体系统的振动传递特性试验研究[J].振动与冲击,2019,38(17):58-64+72.
LI Xiaozhen, CHEN Guiyuan, ZHU Yan, et al. Tests for vibration transmission characteristics of a high-speed railway track-bridge-soil system[J]. Journal of Vibration and Shock, 2019, 38(17): 58-64+72.
[12] 吕鹏,宗刚,李文涛,单涛涛.地铁引发场地振动的实测信号能量分析[J].工程力学,2013,30(S1):325-328.
LV Peng, ZONG Gang, LI Wentao, et al. Energy analysis of ground vibration induced by subway trains[J]. Engineering Mechanics, 2013, 30(Sup1): 325-328.
[13] 沈超,钱德玲.基于小波包能量的地基土对框筒结构地震损伤影响试验研究[J].振动与冲击,2019, 38(16): 174-180.
SHEN Chao, QIAN Deling. Experimental investigation of the seismic damage effect of foundation on frame-core tube structures considering foundation soil based on the wavelet packet energy[J]. Journal of Vibration and Shock, 2019, 38(16): 174-180.
[14] 高亮. 轨道工程[M]. 北京:中国铁道出版社,2015.
[15] 刘维宁, 马蒙. 地铁列车振动环境影响的预测、评估与控制[M]. 科学出版社, 2014.
[16] Cai X P, Wang Q, Li D, Liang Y. Theoretical Study of Long Elastic Sleeper Track to Reduce Vibrations Induced by Subway Trains[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit. 2020;234(5):538-549.
[17] 王启好,蔡小培,常文浩,等. 考虑枕下胶垫超弹性本构的弹性长枕轨道动力仿真[J]. 中南大学学报(自然科学版),2020,51(07):2021-2027.
WANG Qi-hao, CAI Xiao-pei, CHANG Wen-hao, et al. Dynamic Simulation of Long Elastic Sleeper Track Based on Hyperelastic Constitutive Models of Ruber Cushion under Sleeper[J]. Journal of Central South University (Science and Technology), 2020, 51(07): 2021-2027.
[18] Daubechies I. The Wavelet Transform, Time-frequency Localization and Signal Analysis[J]. IEEE transactions on information theory, 1990, 36(5): 961-1005.
[19] 周德廉,邵国友.现代测试技术与信号分析[M].徐州:中国矿业大学出版社,2005.