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: 4071
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0001-9500-452X
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.
[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.
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