Full Text:   <3009>

Summary:  <1961>

CLC number: U213.21

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2020-12-15

Cited: 0

Clicked: 4156

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Juan-juan Ren

https://orcid.org/0000-0001-9500-452X

Ze-ming Zhao

https://orcid.org/0000-0003-0782-9092

Kai Wei

https://orcid.org/0000-0003-4898-8014

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2021 Vol.22 No.1 P.37-52

http://doi.org/10.1631/jzus.A2000040


Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators


Author(s):  Ze-ming Zhao, Kai Wei, Juan-juan Ren, Gao-feng Xu, Xiang-gang Du, Ping Wang

Affiliation(s):  MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China; more

Corresponding email(s):   weimike@home.swjtu.edu.cn, renjuanjuan1983@hotmail.com

Key Words:  Floating slab track (FST), Quasi-zero-stiffness (QZS) vibration isolators, Vehicle‒, track coupled dynamics, Low-frequency vibration reduction


Ze-ming Zhao, Kai Wei, Juan-juan Ren, Gao-feng Xu, Xiang-gang Du, Ping Wang. Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators[J]. Journal of Zhejiang University Science A, 2021, 22(1): 37-52.

@article{title="Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators",
author="Ze-ming Zhao, Kai Wei, Juan-juan Ren, Gao-feng Xu, Xiang-gang Du, Ping Wang",
journal="Journal of Zhejiang University Science A",
volume="22",
number="1",
pages="37-52",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2000040"
}

%0 Journal Article
%T Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators
%A Ze-ming Zhao
%A Kai Wei
%A Juan-juan Ren
%A Gao-feng Xu
%A Xiang-gang Du
%A Ping Wang
%J Journal of Zhejiang University SCIENCE A
%V 22
%N 1
%P 37-52
%@ 1673-565X
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2000040

TY - JOUR
T1 - Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators
A1 - Ze-ming Zhao
A1 - Kai Wei
A1 - Juan-juan Ren
A1 - Gao-feng Xu
A1 - Xiang-gang Du
A1 - Ping Wang
J0 - Journal of Zhejiang University Science A
VL - 22
IS - 1
SP - 37
EP - 52
%@ 1673-565X
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2000040


Abstract: 
To improve the low-frequency vibration reduction effect of a steel spring floating slab track (FST), nonlinear quasi-zero-stiffness (QZS) vibration isolators composed of positive stiffness elements (PSEs) and negative stiffness elements (NSEs) were used to support the FST. First, considering the mechanical characteristics of the nonlinear QZS vibration isolators and the dynamic displacement limit (3 mm) of the FST, the feasible parameter groups were studied with the nonlinear stiffness variation range and bearing capacity as evaluation indices. A vertical vehicle‒;quasi-zero-stiffness floating slab track (QZS-FST) coupled dynamic model was then established. To obtain a reasonable nonlinear stiffness within a few millimeters, the original length of the NSEs must be analyzed first, because it chiefly determines the stiffness nonlinearity level. The compression length of the NSEs at the equilibrium position must be determined to obtain the low stiffness of the floating slab without vehicle load. Meanwhile, to meet the dynamic displacement limit of the FST, the PSE stiffness must be increased to obtain a higher stiffness at the critical dynamic displacement. Various stiffness groups for the PSEs and NSEs can provide the same dynamic bearing capacity and yet have a significantly different vibration reduction effect. Excessive stiffness nonlinearity levels cannot effectively improve the vibration reduction effect at the natural frequency. Furthermore, they also significantly amplify the vibrations above the natural frequency. In this paper, the vertical vibration acceleration level (VAL) of the floating slab and the supporting force of the FST can be decreased by 6.9 dB and 55%, respectively, at the resonance frequency.

非线性准零刚度浮置板轨道振动响应分析

目的:综合考虑车轨耦合系统的安全性与减振效果,合理优化浮置板轨道用准零刚度隔振器正负刚度元件的参数匹配,从而降低钢弹簧浮置板轨道基频,提高低频减振效果.
创新点:1. 应用高静低动非线性刚度特征,在保证动态位移不超限的前提下,进一步优化浮置板轨道的低频减振效果,解决了传统线性隔振理论面临的瓶颈问题.2. 在毫米级的动态位移限制范围内,研究了一种针对浮置板准零刚度隔振器结构的参数匹配优化分析方法.
方法:1. 针对浮置板轨道毫米级动态位移,提出正负刚度元件参数的匹配研究顺序以及合理取值范围.2. 建立一种车辆-准零刚度浮置板轨道耦合动力学模型.3. 综合准零刚度隔振器对轮轨系统安全性及浮置板轨道减振效果的影响,提出正负刚度元件的参数匹配及优化方法.
结论:1. 在浮置板轨道毫米级动态位移范围内,隔振器的刚度非线性程度主要取决于负刚度元件的原始长度(图2).2. 负刚度元件在浮置板轨道无车载情况下的压缩长度决定了浮置板轨道在静力荷载作用下的低动刚度(图3);然而,为了保证浮置板轨道动态位移不超限,需要提高正刚度元件的刚度以实现浮置板轨道在车辆荷载作用下的高静刚度(图4).3. 在隔振器承载能力相同的情况下,正负刚度元件有多种刚度匹配方式(图4),但其减振效果与非线性特性密切相关;刚度非线性过低,其减振效果与降低线性隔振器刚度相似(图10和11);刚度非线性过强,将会导致高于传统固有频率的振动被放大(图17).4. 通过关键参数的合理匹配,在不增加浮置板轨道动态位移的情况下(图12),固有频率可降低20%,而基频处浮置板垂向振动加速度水平和支承力分别降低6.9 dB和55%(图16和17).

关键词:浮置板轨道;准零刚度隔振器;车辆轨道耦合动力学;低频减振效果

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Carrella A, Brennan MJ, Waters TP, et al., 2008. On the design of a high-static–low-dynamic stiffness isolator using linear mechanical springs and magnets. Journal of Sound and Vibration, 315(3):712-720.

[2]Connolly DP, Marecki GP, Kouroussis G, et al., 2016. The growth of railway ground vibration problems–a review. Science of the Total Environment, 568:1276-1282.

[3]Danh LT, Ahn KK, 2014. Active pneumatic vibration isolation system using negative stiffness structures for a vehicle seat. Journal of Sound and Vibration, 333(5):1245-1268.

[4]Dong GX, Zhang XN, Xie SL, et al., 2017. Simulated and experimental studies on a high-static-low-dynamic stiffness isolator using magnetic negative stiffness spring. Mechanical Systems and Signal Processing, 86:188-203.

[5]Gupta S, Degrande G, 2010. Modelling of continuous and discontinuous floating slab tracks in a tunnel using a periodic approach. Journal of Sound and Vibration, 329(8):1101-1125.

[6]Hamid A, Yang TL, 1981. Analytical description of track geometry variations. Transportation Research Record, 838:19-26.

[7]Huang XC, Liu XT, Sun JY, et al., 2014. Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: a theoretical and experimental study. Journal of Sound and Vibration, 333(4):1132-1148.

[8]Ibrahim RA, 2008. Recent advances in nonlinear passive vibration isolators. Journal of Sound and Vibration, 314(3-5):371-452.

[9]Kouroussis G, Zhu SY, Olivier B, et al., 2019. Urban railway ground vibrations induced by localized defects: using dynamic vibration absorbers as a mitigation solution. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(2):83-97.

[10]Kovacic I, Brennan MJ, Waters TP, 2008. A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. Journal of Sound and Vibration, 315(3):700-711.

[11]Kuo CM, Huang CH, Chen YY, 2008. Vibration characteristics of floating slab track. Journal of Sound and Vibration, 317(3-5):1017-1034.

[12]Lan CC, Yang SA, Wu YS, 2014. Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads. Journal of Sound and Vibration, 333(20):4843-4858.

[13]Le TD, Ahn KK, 2011. A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat. Journal of Sound and Vibration, 330(26):6311-6335.

[14]Le TD, Ahn KK, 2013. Experimental investigation of a vibration isolation system using negative stiffness structure. International Journal of Mechanical Sciences, 70:99-112.

[15]Li YL, Xu DL, 2017. Vibration attenuation of high dimensional quasi-zero stiffness floating raft system. International Journal of Mechanical Sciences, 126:186-195.

[16]Liu CC, Jing XJ, Li FM, 2015. Vibration isolation using a hybrid lever-type isolation system with an X-shape supporting structure. International Journal of Mechanical Sciences, 98:169-177.

[17]Liu XT, Huang XC, Hua HX, 2013. On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector. Journal of Sound and Vibration, 332(14):3359-3376.

[18]Lu ZQ, Brennan MJ, Yang TJ, et al., 2013. An investigation of a two-stage nonlinear vibration isolation system. Journal of Sound and Vibration, 332(6):1456-1464.

[19]Ma M, Markine V, Liu WN, et al., 2011. Metro train-induced vibrations on historic buildings in Chengdu, China. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 12(10):782-793.

[20]MOHURD (Ministry of Housing and Urban-Rural Development of the People’s Republic of China), 2012. Technical Code for Floating Slab Track, CJJ/T 191-2012. MOHURD, Beijing, China (in Chinese).

[21]Shaw AD, Neild SA, Wagg DJ, et al., 2013. A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation. Journal of Sound and Vibration, 332(24):6265-6275.

[22]Ulgen D, Ertugrul OL, Ozkan MY, 2016. Measurement of ground borne vibrations for foundation design and vibration isolation of a high-precision instrument. Measurement, 93:385-396.

[23]Wei K, Zhao ZM, Du XG, et al., 2019. A theoretical study on the train-induced vibrations of a semi-active magneto-rheological steel-spring floating slab track. Construction and Building Materials, 204:703-715.

[24]Xu DL, Yu QP, Zhou QP, et al., 2013. Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic. Journal of Sound and Vibration, 332(14):3377-3389.

[25]Yang J, Xiong YP, Xing JT, 2013. Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism. Journal of Sound and Vibration, 332(1):167-183.

[26]Yang JJ, Zhu SY, Zhai WM, 2020. A novel dynamics model for railway ballastless track with medium-thick slabs. Applied Mathematical Modelling, 78:907-931.

[27]Zhai WM, Sun X, 1994. A detailed model for investigating vertical interaction between railway vehicle and track. Vehicle System Dynamics, 23(S1):603-615.

[28]Zhai WM, Xu P, Wei K, 2011. Analysis of vibration reduction characteristics and applicability of steel-spring floating-slab track. Journal of Modern Transportation, 19(4):215-222.

[29]Zhang JZ, Li D, Chen MJ, et al., 2004. An ultra-low frequency parallel connection nonlinear isolator for precision instruments. Key Engineering Materials, 257-258:231-238.

[30]Zheng YS, Zhang XN, Luo YJ, et al., 2018. Analytical study of a quasi-zero stiffness coupling using a torsion magnetic spring with negative stiffness. Mechanical Systems and Signal Processing, 100:135-151.

[31]Zhu SY, Yang JZ, Yan H, et al., 2015. Low-frequency vibration control of floating slab tracks using dynamic vibration absorbers. Vehicle System Dynamics, 53(9):1296-1314.

[32]Zhu SY, Wang JW, Cai CB, et al., 2017. Development of a vibration attenuation track at low frequencies for urban rail transit. Computer-Aided Civil and Infrastructure Engineering, 32(9):713-726.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE