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CLC number: U213.21

On-line Access: 2021-01-11

Received: 2020-02-08

Revision Accepted: 2020-06-23

Crosschecked: 2020-12-15

Cited: 0

Clicked: 2165

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

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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.

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publisher="Zhejiang University Press & Springer",
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%T Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators
%A Ze-ming Zhao
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%A Juan-juan Ren
%A Gao-feng Xu
%A Xiang-gang Du
%A Ping Wang
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2000040

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T1 - Vibration response analysis of floating slab track supported by nonlinear quasi-zero-stiffness vibration isolators
A1 - Ze-ming Zhao
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A1 - Xiang-gang Du
A1 - Ping Wang
J0 - Journal of Zhejiang University Science A
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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

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