The study of designing methods for floating slab constant frequency isolator based on the load characteristics of isolator

PDF(3112 KB)

Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (10) : 230-239.

DU Xianggang1,2,ZHU Guangnan3,LIU Wei1,4,CAO Qingjie3,CHEN Yushu3

Author information +

History +

Abstract

In this paper, a nonlinear floating-slab vibration isolator and its optimal nonlinear damper with constant natural frequency is proposed, based upon the nonlinear vibration theory, to ensure operating stability of the train in the laying area of the floating-slab track. Firstly, the vibration isolation requirements of the floating slab vibration isolation system are determined, through the identification of the load characteristics of the vibration isolator for the floating slab track; Secondly, the stiffness curve of constant frequency nonlinear vibration isolation system (also called constant frequency system) with the constant natural frequency near any quasi-static load position is designed, based on the dynamic characteristics of variable mass vibration isolation system; Then, the optimal nonlinear damping design for the constant frequency system is carried out, based on the characteristics of the stiffness curve of the constant frequency system and the influence mechanism of the damping coefficient on the vibration isolation performance of the nonlinear system; Finally, the optimal fixed frequency system is simulated and verified, based on the integrated simulation analysis model of vehicle floating slab track tunnel system. The theoretical study shows that, compared with traditional floating slab system which adopt linear steel spring isolator (also called linear system), the constant frequency system has a better displacement control capacity, the dynamic displacement response of the slab can be reduced by about 8%; the constant frequency system can significantly reduce the acceleration response of floating slab, vibration acceleration effective value can be reduced about 46.24%; the constant frequency system has a better vibration attenuation effect in all frequency band, vibration level (Z weighting) decreases by about 6.26 dB.

Key words

Nonlinear vibration reduction / nonlinear stiffness / nonlinear damping / floating slab track / lower frequency vibration

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

DU Xianggang1,2,ZHU Guangnan3,LIU Wei1,4,CAO Qingjie3,CHEN Yushu3. The study of designing methods for floating slab constant frequency isolator based on the load characteristics of isolator[J]. Journal of Vibration and Shock, 2023, 42(10): 230-239

References

[1] W. M. Zhai, P. Xu, K. Wei. Analysis of vibration reduction characteristics and applicability of steel-spring floating-slab track [J].Journal of Modern Transportation, 2011, 19(04): 215-222.
[2] K. F. Li, W. N. Liu, X. J SUN, et al. In-situ test and analysis on the vibration mitigation measures of the elevated line in Beijing metro line 5 [J]. China Railway Science, 2009, 30(4): 25-29.
[3] F. Kirzhner, G.Rosenhouse, Y. Zimmels. Attenuation of noise and vibration caused by underground train, using soil replacement [J]. Tunneling and Underground Space Technology, 2006, 21(5): 561-567.
[4] R. D. Li. Metro-induced ground vibration and their impacts on precision instrument [J]. Chinese Journal of Rock Mechanics and Engineer, 2008, 27(1): 206-214.
[5] G. W. Dong, F. H. Li. Research Report on vibration assessment and optimal design of the superstructure property caused by Wuxi metro operation [R]. WUXI METRO, Tongji University, 2018.
[6] W. Liu, G. P. Chen, X. L. Wang. Research Report on vibration and noise reduction technology and engineering application in the development of the above covered property [R]. WUXI METRO, CRRC Corporation Limited, 2019.
[7] Y. X. Jia. Study on Analytical Model of Coupled Vehical \& Track and Effect to Enviroment by Metro Train-Induced Vibrations [D]. Beijing Jiaotong University, 2009
[8] S. Y. Zhu, J. W. Wang, C. B. Cai, et al. Development of a Vibration Attenuation Track at Low Frequencies for Urban Rail Transit [J]. Computer-Aided Civil and Infrastructure Engineering, 2017, 32: 713-726.
[9] F. Cui, C. H. Chew. The effectiveness of floating slab track system-Part I. Receptance methods [J]. Applied Acoustics, 2000,61(4): 441-453.
[10] H. Saurenman, J. Phillips. In-service tests of the effectiveness of vibration control measures on the BART rail transit system[J]. Journal of Sound \& Vibration, 2006, 293(3-5):888-900.
[11] K. E. Vogiatzis, G. Kouroussis. Prediction and efficient control of vibration mitigation using floating slabs: practical application at Athens metro lines 2 and 3 [J]. International Journal of Rail Transportation, 2015, 3(4):215-232.
[12] 丁德云.地铁列车振动环境响应低频特征的分析与研究[D]. 北京交通大学，2010.
Ding Deyun. Study on Low Frequency Characteristics of Environmental Vibrations due to Metro Trains [D]. Beijing: Beijing Jiaotong University, 2010.
[13] 刘卫丰,刘维宁,马蒙,李克飞,王文斌．地铁列车运行引起的振动对精密仪器的影响研究[J]. 振动工程学报, 2012, (02): 130-137.
Liu Weifeng, Liu Weining, Ma Meng, Li Kefei, and Wang Wenbin. Study of effect on sensitive equipment due to vibrations induced by metro traffic [J]. Journal of Vibration Engineering, 2012, (02): 130-137.
[14] 王建玮. 基于动力吸振器的浮置板轨道低频振动控制试验研究[D].成都：西南交通大学, 2014.
Wang Jianwei. Exprimental Study on Low-frequency Vibration Control of Floating Slab Tracks based on Dynamic Vibration Absorbers [D]. Chengdu: Southwest Jiaotong University, 2014.
[15] 朱光楠. 基于准零刚度特性的变压器抗震设计与隔振研究[D].哈尔滨工业大学,2017.
Zhu Guangnan. Anti-seismic and Vibration Isolation Study on a Nonlinear System with Quasi-zero Stiffness [D]. Harbin: Harbin Institute of Technology, 2017.
[16] 肖安鑫, 田野. 钢弹簧浮置板轨道对车内噪声影响的实测与分析[J].噪声与振动控制,2012,(01): 51-54.
Xiao Anxin, Tian Ye. Measurement and Analysis of Influence of Steel Spring Floating Slab Track on Vehicle Interior Noise [J]. Noise and Vibration Control, 2012, (01): 51-54.
[17] Hao Z.F, Cao Q.J. The isolation characteristics of an archetypal dynamical model with stable-quasi-zero-stiffness[J]. Journal of Sound and Vibration, 2015, 340.
[18] 王保励.一类几何非线性准零刚度系统的隔振理论与实验研究[D].哈尔滨：哈尔滨工业大学, 2016.
Wang Baoli. Theoretical and Experimental Study on a Class of Geometrically Nonlinear Quasi-zero Stiffness Vibration Isolation System [D]. Harbin: Harbin Institute of Technology, 2016.
[19] Cao Q.J, Wiercigroch M, Pavlovskaia E.E, Grebogi C, Thompson J.M.T. Archetypal oscillator for smooth and discontinuous dynamics[J]. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 2006, 74(4): 046218.
[20] Zhu Guangnan, Liu Jiye, Cao Qingjie, Cheng Yongfeng, Lu Zhicheng, Zhu Zhubing. A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering [J]. Science China Technological Sciences, 2020, 63(3): 496-505.
[21] 惠安民,金映丽,张磊,闫明,王开平.边界摩擦条件下含有预紧的对合碟簧隔振单元的振动特性[J].振动与冲击,2021,40(2): 228-234.
Hui Anmin, Jin Yingli, Zhang Lei, Yan Ming, and Wang Kaiping. Vibration Characteristics of a Disc Spring Vibration Isolator with Pre-tightening under Boundary Friction Condition [J]. Journal of Vibration and Shock, 2021, 40(2): 228-234.
[22] Carrella A, Brennan M J, Waters T P. Optimization of a Passive Vibration Isolator with Quasi-Zero-Stiffness Characteristic. University of Southampton, Institute of Sound and Vibration Research, Dynamics Group, 2006
[23] Carrella A, Brennan M J, Waters TP. Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic. Journal of Sound and Vibration, 2006, 301, 678-689
[24] Carrella A, Brennan M J, Waters T P. Optimization of a quasi-zero-stiffness isolator. Journal of Mechanical Science and Technology, 2007, 21, 946-949
[25] Carrella A, Brennan M J, Waters T P, et al. On the design of a high-static-low-dynamic stiffness isolator using linear mechanical springs and magnets. Journal of Sound and Vibration, 2008, 315, 712–720
[26] Carrella A, Brennan M J, Kovacic I, et al. On the force transmissibility of a vibration isolator with quasi-zero-stiffness. Journal of Sound and Vibration, 2009, 322, 707-717
[27] Kovacic I, Brennan M J, Waters T P. A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. Journal of Sound and Vibration, 2008, 315, 700-711
[28] Kovacic I, Brennan M J, Lineton B. Effect of a static force on the dynamic behavior of a harmonically excited quasi-zero stiffness system. Journal of Sound and Vibration, 2009, 325, 870-883
[29] Brennan M J, Kovacic I, Carrella A, et al. On the jump-up and jump-down frequencies of the Duffing oscillator. Journal of Sound and Vibration, 2008, 318, 1250-1261
[30] Gatti G, Kovacic I, Brennan M J. On the response of a harmonically excited two degree-of-freedom system consisting of a linear and a nonlinear quasi-zero stiffness oscillator. Journal of Sound and Vibration, 2010, 329, 1823-1835
[31] Platus D L. Negative-stiffness-mechanism vibration isolation systems. Proceedings of SPIE-the International Society for Optical Engineering, 1999, 3786, 98-105
[32] Robertson W S, Kidner M R F, Cazzolato B S, et al. Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation. Journal of Sound and Vibration, 2009, 326, 88-103
[33] Zhou N, Liu K. A tunable high-static-low-dynamic stiffness vibration isolator. Journal of Sound and Vibration, 2010, 329, 1254-1273
[34] 徐道临, 张月英, 周加喜, 等. 一种准零刚度隔振器的特性分析与实验研究[J]. 振动与冲击, 2014, 33(11): 208-213.
Xu Daolin, Zhang Yueying, Zhou Jiaxi, et. al. Characteristic Analysis and Experimental Investigation for a Vibration Isolator with Quasi-zero Stiffness [J]. Journal of Vibration and Shock, 2014, 33(11): 208-213.
[35] Q.J. Cao, M. Wiercigroch, E. E. Pavlovskaia, An archetypal oscillator for smooth and discontinuous dynamics, Physical ReviewE 74(2006)046218.
[36] Q.J.Cao, M. Wiercigroch, E. E. Pavlovskaia, J. M. T. Thompson, C. Grebogi, Piecewise linear approach to anarchetypal oscillator for smooth and discontinuous dynamics, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366 (2008) 635-652.
[37] Z.F. Hao, Q.J. Cao, A novel dynamical model for GVT nonlinear supporting system with stable-quasi-zero-stiffness, Journal of Theoretical and Applied Mechanics 52 (1) (2014) 199-213.
[38] Z.F. Hao and Q.J. Cao, The isolation characteristics of an archetypal dynamical model with stable-quasi-zero-stiffness, Journal of Sound and Vibration, 340(2015)61-79
[39] 张利国,张嘉钟,贾力萍等. 空气弹簧的现状及其发展. 振动与冲击, 2007, 26(2): 146-150
Zhang Liguo, Zhang Jiazhong, Jia Liping, et. al. Future and Development of Air Springs [J]. Journal of Vibration and Shock, 2007, 26(2): 146-150.
[40] 上官文斌,吕振华. 汽车动力总成橡胶隔振器弹性特性的有限元分析. 内燃机工程, 2003, 24(6): 50-55
Shangguan Wenbin, Lv Zhenhua. Finite Element Analysis of Elastic Characteristics of Rubber Isolator for Automotive Powertrain Systems [J]. Neiranji Gongcheng, 2003, 24(6): 50-55.
[41] 孙凯,陈曙等. 钢丝绳隔振器机械阻抗分析. 四川兵工学报, 2010, 31(6): 125-126.
Sun Kai, Chen Shu, et. al. Mechanical Impedance Analysis of Wire Rope Vibration Isolator [J]. Journal of Sichuan Ordnance Industry, 2010, 31(6): 125-126.
[42] 刘兴天,张志谊,华宏星. 新型低频隔振器的特性研究. 振动与冲击, 2012, 31(5): 161-164
Liu Tianxing, Zhang Zhiyi, and Hua Hongxing. Characteristics of a Novel Low-frequency Isolator [J]. Journal of Vibration and Shock, 2012, 31(5): 161-164.
[43] 徐道临,余奇平,吕永建等. 具有准零刚度的非线性磁力隔振器. 中国专利. ZL 201120223834. 0. 2012-02-01
Xu Daolin, Yu Qiping, Lv Yongjian, et. al. Nonlinear Magnetic Isolator with Quasi-zero Stiffness [P]. Patent: ZL 201120223834. 0. 2012-02-01
[44] G. N. Zhu, J. Y. Liu, Q. J. Cao, Y. F. Cheng, Z. C. Lu, Z. B. Zhu, A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering [J]. Science China Technological Sciences, 2020, 063(003):P.496-505, https://doi.org/10.1007/s11431-018-9524-2.
[45] 杜香刚,肖俊恒,杨吉忠,刘韦,朱光楠,李忠继,郭有松,丁炜等. 高稳定性低频减振轨道系统关键技术研究[R]. 北京：中国铁道科学研究院集团有限公司, 2020.
Du Xianggang, Xiao Junheng, Yang Jizhong, Liu Wei, Zhu Guangnan, Li Zhongji, Guo Yousong, Ding Wei, et. al. Research on Key Technologies of High Stability and Low-frequency Vibration Damping Track System [R]. Beijing: China Academy of Railway Sciences, 2020.