Citation: | DOU Yinling, WEI Kai, CAO Yong, WANG Shaohua, QI Wei, WANG Ping. Effect of Bending-Torsional Coupling of Beams on Lateral Vibration Characteristics of Rails[J]. Journal of Southwest Jiaotong University, 2023, 58(5): 1056-1063. doi: 10.3969/j.issn.0258-2724.20210774 |
To accurately predict the propagation of elastic waves in rails and explore the necessity of considering the bending-torsional coupling (BTC) of Timoshenko beam, a rail-fastener spatial infinite model considering the BTC of the beam was developed based on the spectral element method (SEM) and the symplectic method (SM). Based on model verification, the BTC effect of Timoshenko beam on the lateral natural frequency and velocity admittance of the rail was analyzed, and the effect of vertical preload dependence of fastener pads on the lateral bending vibration characteristics of the rail was analyzed theoretically and experimentally. The research results show that because of the BTC effect of the beam, the lateral bending resonance frequency (BRF) of the rail increases by about 29.6 Hz, and the bending and torsional pinned-pinned modes appear simultaneously in the lateral bending vibration of the rail. The vertical preload dependence of fastener pads mainly affects the lateral low- and mid-frequency vibrations of the rail. As the preload increases, the lateral BRF of the rail increases. When the preload is increased from 30 kN to 50 kN, the measured lateral BRF increases by about 13.7 Hz, while the increase is about 12.5 Hz and 21.7 Hz by considering the BTC effect of the beam or not. The variation law of lateral BRF of the rail considering the BTC of the beam under different preloads is closer to the measured results.
[1] |
THOMPSON D J. Wheel-rail noise generation, part Ⅲ: rail vibration[J]. Journal of Sound and Vibration, 1993, 16: 421-446.
|
[2] |
翟婉明. 车辆-轨道耦合动力学·上册[M]. 4版. 北京: 科学出版社, 2015.
|
[3] |
THOMPSON D. Railway noise and vibration: mechanisms, modelling and means of control[M]. Amsterdam: Elsevier Science, 2009.
|
[4] |
BANERJEE J R, WILLIAMS F W. Coupled bending– torsional dynamic stiffness matrix for Timoshenko beam elements[J]. Computers & Structures, 1992, 42(3): 301-310.
|
[5] |
VINCENT N, BOUVET P, THOMPSON D J, et al. Theoretical optimization of track components to reduce rolling noise[J]. Journal of Sound and Vibration, 1996, 193(1): 161-171. doi: 10.1006/jsvi.1996.0255
|
[6] |
KOSTOVASILIS D, THOMPSON D J, HUSSEIN MFM. A semi-analytical beam model for the vibration of railway tracks[J]. Journal of Sound and Vibration, 2017, 393: 321-337. doi: 10.1016/j.jsv.2016.12.033
|
[7] |
TIMOSHENKO S, YOUNG D H. Vibration problems in engineering[M]. 3rd ed. New York: Van Nostrand, 1955.
|
[8] |
LI J, SHI C X, KONG X S, et al. Stochastic response of an axially loaded composite Timoshenko beam exhibiting bending-torsion coupling[J]. Archive of Applied Mechanics, 2013, 84(1): 109-122.
|
[9] |
易强. 周期性铁路轨道结构弹性波传播特性及调控方法研究[D]. 成都: 西南交通大学, 2020.
|
[10] |
农兴中,魏晓,李祥,等. 地铁常用减振轨道钢轨横向振动特性测试分析[J]. 铁道工程学报,2019,36(1): 43-47.
NONG Xingzhong, WEI Xiao, LI Xiang, et al. Test and analysis of transverse vibration characteristics of commonly used vibration-damping rails in metro[J]. Journal of Railway Engineering Society, 2019, 36(1): 43-47.
|
[11] |
WEI K, YANG Q L, DOU Y L, et al. Experimental investigation into temperature-and frequency-dependent dynamic properties of high-speed rail pads[J]. Construction and Building Materials, 2017, 151: 848-858. doi: 10.1016/j.conbuildmat.2017.06.044
|
[12] |
THOMPSON D J, VAN VLIET W J, WERHEIJ J W. Developments of the indirect method for measuring the high frequency dynamic stiffness of resilient elements[J]. Journal of Sound and Vibration, 1998, 213(1): 169-188. doi: 10.1006/jsvi.1998.1492
|
[13] |
中华人民共和国铁道行业标准. 高速铁路扣件, 第一部分, 通用技术条件: TB/T 3395.1—2015[S]. 北京: 国家铁路局, 2015.
|
[14] |
范盛金. 一元三次方程的新求根公式与新判别法[J]. 海南师范学院学报(自然科学版),1989(2): 91-98.
|
[15] |
WEI K, DOU Y L, WANG F, et al. High-frequency random vibration analysis of a high-speed vehicle-track system with the frequency-dependent dynamic properties of rail pads using a hybrid SEM-SM method[J]. Vehicle System Dynamics, 2018, 56(12): 1838-1863. doi: 10.1080/00423114.2018.1439977
|
[16] |
韦凯,王丰,牛澎波,等. 钢轨扣件弹性垫板的动态黏弹塑性力学试验及理论表征研究[J]. 铁道学报,2018,40(12): 115-122.
WEI Kai, WANG Feng, NIU Pengbo, et al. Experimental investigation and theoretical model of viscoelastic and plastic dynamic properties of rail pads[J]. Journal of the China Railway Society, 2018, 40(12): 115-122.
|
[17] |
HOWSON W P, JEMAH A K. Exact out-of-plane natural frequencies of curved Timoshenko beams[J]. Journal of Engineering Mechanics, 1999, 125(1): 19-25. doi: 10.1061/(ASCE)0733-9399(1999)125:1(19)
|
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