基于SD振子理论的浮置板几何非线性隔振器研究

刘韦,肖俊恒,江成,杨军,杜香刚,朱光楠,施成,刘吉烨

振动与冲击 ›› 2021, Vol. 40 ›› Issue (19) : 269-276.

PDF(3039 KB)
PDF(3039 KB)
振动与冲击 ›› 2021, Vol. 40 ›› Issue (19) : 269-276.
论文

基于SD振子理论的浮置板几何非线性隔振器研究

  • 刘韦1,2,肖俊恒1,3,江成1,3,杨军2,杜香刚1,3,朱光楠4,施成1,3,刘吉烨4
作者信息 +

Floating slab geometrically nonlinear vibration isolator based on SD oscillator theor

  • LIU Wei1,2, XIAO Junheng1,3, JIANG Cheng1,3, YANG Jun2, DU Xianggang1,3, ZHU Guangnan4, SHI Cheng1,3, LIU Jiye4
Author information +
文章历史 +

摘要

基于SD(smooth and discontinuous)振子几何非线性理论,根据城市轨道交通实际载荷条件和隔振需求,对钢弹簧浮置板隔振器的非线性刚度曲线及其浮置板轨道系统的动态性能进行优化设计,研发了一种浮置板用几何非线性隔振器,其同时具有良好的低频隔振性能和振动位移控制能力。对非线性隔振器进行了理论分析、结构参数设计、仿真分析及试验验证,研究表明:非线性隔振器对浮置板的振动位移具有较好的控制能力和低频隔振效果,单隔振器试验表明,相对传统的钢弹簧隔振器,非线性隔振器后浮置板的振动位移可以降低40%以上;隔振器支反力在4 Hz,6 Hz,8 Hz,11 Hz,15 Hz和20 Hz分别有3.25%,15.47%,18.77%,25.18%,31.27%和37.60%的振动衰减量。

Abstract

Based on the geometrically nonlinear theory of smooth and discontinuous (SD) oscillator, according to the actual load conditions and vibration isolation requirements of urban rail transit, nonlinear stiffness curve of steel spring floating slab isolator and dynamic performance of floating slab rail system were optimized to develop a geometrically nonlinear isolator for floating slab, it has both good low-frequency vibration isolation performance and vibration displacement control ability. Here, theoretical analysis, structural parametric design, simulation analysis and test verification of the nonlinear vibration isolator were conducted. The results showed that the nonlinear vibration isolator has better control ability and low-frequency vibration isolation effect on vibration displacement of floating slab; the single vibration isolator tests reveal  compared with the traditional steel spring vibration isolator, vibration displacement of rear floating slab of the nonlinear vibration isolator can be reduced by more than 40%; at frequencies of 4 Hz, 6 Hz, 8 Hz, 11 Hz, 15 Hz and 20 Hz, vibration attenuation values of the isolator’s bearing reaction force are 3.25%, 15.47%, 18.77%, 25.18%, 31.27% and 37.60%, respectively.

关键词

SD振子 / 几何非线性 / 非线性隔振器 / 高静低动刚度 / 浮置板

Key words

SD oscillator / geometrically nonlinear / nonlinear isolator / high-static and low-dynamic stiffness / floating slab

引用本文

导出引用
刘韦,肖俊恒,江成,杨军,杜香刚,朱光楠,施成,刘吉烨. 基于SD振子理论的浮置板几何非线性隔振器研究[J]. 振动与冲击, 2021, 40(19): 269-276
LIU Wei, XIAO Junheng, JIANG Cheng, YANG Jun, DU Xianggang, ZHU Guangnan, SHI Cheng, LIU Jiye. Floating slab geometrically nonlinear vibration isolator based on SD oscillator theor[J]. Journal of Vibration and Shock, 2021, 40(19): 269-276

参考文献

[1]夏禾, 曹艳梅. 轨道交通引起的环境振动问题[J]. 铁道科学与工程学报, 2004, 1(1):44-51.
XIA He, CAO Yanmei. Problem of railway traffic induced vibrations of environments[J]. Journal of Railway Science and Engineering, 2004,1(1):44-51.
[2]夏禾, 吴萱, 于大明. 城市轨道交通系统引起的环境振动问题[J]. 北京交通大学学报, 1999, 23(4):1-7.
XIA He, WU Xuan, YU Daming. Environmental vibration induced by urban rail transit system[J]. Journal of Northern Jiaotong University, 1999, 23(4):1-7.
[3]董霜, 朱元清. 地铁振动环境及对建筑影响的研究概况[J]. 噪声与振动控制, 2004, 24(2):1-4.
DONG Shuang, ZHU Yuanqing. A general study on vibtation caused by subway and its impact for buildings [J]. Noise and Vibration Control, 2004, 24(2):1-4.
[4]刘维宁,丁德云, 李克飞,等. 钢弹簧浮置板轨道低频特征试验研究[J]. 土木工程学报, 2011,44(8): 118-125. 
LIU Weining, DING Deyun, LI Kefei, et al. Experimental study of the low-frequency vibration characteristics of steel spring floating slab track [J]. China Civil Engineering Journal, 2011, 44(8):118-125.
[6]WOLF S. Potential low frequency ground vibration (<6.3 Hz) impacts from underground LRT operations[J]. Journal of Sound and Vibration, 2003, 267(3): 651-661.
[5]丁德云, 刘维宁, 翟辉. 地铁列车振动引发得地表低频(<10 Hz)响应得研究[C]//可持续发展的中国交通:2005全国博士生学术论坛(交通运输工程学科). 北京:中国铁道出版社, 2005.
[7]LI K F, LIU W N, DING D Y, et al. Numerical analysis of low-frequency ground vibration induced by metro operations[C]//Environmental Vibrations: Prediction, Monitoring, Mitigation and Evaluation. Beijing: EVPMME, 2009.
[8]栗润德, 张鸿儒, 刘维宁. 地铁引起的地面振动及其对精密仪器的影响[J]. 岩石力学与工程学报,2008,27(1):206-214.
LI Runde, ZHANG Hongru, LIU Weining. Metro-induced ground vibrations and their impacts on precision instrument [J]. Chinese Journal of Rock Mechanics and Engineering, 2008,27(1):206-214.
[9]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:北京交通大学,2010.
[10]刘卫丰,刘维宁,马蒙,等.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, 25(2): 130-137.
LIU Weifeng, LIU Weining, MA Meng, et al. Study of effect on sensitive equipment due to vibrations induced by metro traffic[J]. Journal of Vibration Engineering, 2012,25(2):130-137.
[11]吴永芳. 轨道减振效果系统评价方法研究[J].中国铁道科学,2013, 34(3): 1-6.
WU Yongfang. Investigation into the evaluation method for vibration damping effect of track systems[J]. China Railway Science,2013, 34(3): 1-6.
[12]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.
[13]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, 32(1): 51-55.
XIAO Anxin, TIAN Ye. Measurement and analysis of influence of steel spring floating slab track on vehicle interior noise[J].  Noise and Vibration Control, 2012,32(1):51-55.
[14]李伟. 地铁钢轨波磨成因及其对车辆/轨道行为的影响[D]. 西南交通大学, 2015. 
[15]MENG L S, SUN J G, WU W J. Theoretical design and characteristics analysis of a quasi-zero stiffness isolator using a disk spring as negative stiffness element[J]. Shock and Vibration, 2015,2015: 1-19.
[16]HUANG X C, LIU X, SUN J Y, et al. Vibration isolation characteristics of nonlinear isolator using Euler buckled beam as negative stiffness corrector: a theoretical and experimental study[J]. Journal of Sound and Vibration, 2014, 333: 1132-1148.
[17]闫振华, 王国强, 苏丽达. 非线性被动隔振器刚度特性研究[J]. 振动与冲击, 2013, 32(19): 139-143.
YAN Zhenhua, WANG Guoqiang, SU Lida. Stiffness characteristics of a non-linear passive vibration isolator[J]. Journal of Vibration and Shock, 2013, 32(19): 139-143.
[18]王毅, 徐道临, 周加喜. 滚球型准零刚度隔振器的特性分析[J]. 振动与冲击, 2015, 34(4): 142-147.
WANG Yi, XU Daolin, ZHOU Jiaxi. Characteristic analysis of a ball-type vibration isolator with quasi-zero-stiffness[J]. Journal of Vibration and Shock, 2015, 34(4): 142-147.
[19]ZHOU J X, WANG X L, XU D L, et al. Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms[J]. Journal of Sound and Vibration, 2015, 346: 53-69.
[20]ZHU T, CAZZOLATO B, ROBERTSON W S P, et al. Vibration isolation using six degree-of-freedom quasi-zero stiffness magnetic levitation[J]. Journal of Sound and Vibration, 2015, 358:48-73.
[21]CAO Q J, WIERCIGROCH M, PAVLOVSKAIA E E, et al. Archetypal oscillator for smooth and discontinuous dynamics[J]. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2006, 74(4): 046218.
[22]CAO Q J, WIERCIGROCH M, PAVLOVSKAIA E E, et al. Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics[J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008, 366(1865): 635-652.
[23]CAO Q J, WIERCIGROCH M, PAVLOVSKAIA E E, et al. The limit case response of the archetypal oscillator for smooth and discontinuous dynamics[J]. International Journal of Non-Linear Mechanics, 2008, 43(6): 462-473.
[24]CAO Q J, XIONG Y P, WIERCIGROCH M. Resonances of the SD oscillator due to the discontinuous phase[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 183-191. 
[25]CAO Q J, XIONG Y P. A novel model of dipteran flight mechanism[J]. International Journal of Dynamics and Control, 2013, 1(1): 1-11.
[26]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: 61-79.[27]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: 61-79.[28]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.

PDF(3039 KB)

Accesses

Citation

Detail

段落导航
相关文章

/