Self-excited Vibration of Single-Magnet Suspension System: Stability Analysis and Inhibition
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摘要: 为了研究EMS型磁浮列车起浮后与轨道相互耦合发生的自激振动对车辆安全性、舒适性造成的影响,建立了单磁铁悬浮系统的车体-悬浮架-轨道的动力学模型.分析了车-轨系统的稳定性及悬浮控制器和系统各主要参数对振动的影响,提出了系统各参数和稳定性关系的表达式,讨论了运用瞬时最优控制算法抑制车-轨自激振动的具体方法.数值仿真了在3组不同系统参数条件下瞬时最优控制对于自激振动的抑制效果.研究结果表明:车辆结构、悬浮控制器、轨道各主要参数在车-轨自激振动中相互影响;当仿真系统起浮10 s时,悬浮气隙振幅分别减少了59%、62%、5%,轨道振幅分别减少48%、94%、73%,表明了控制方法的有效性.Abstract: The self-excited vibration occurs due to mutual coupling between EMS maglev vehicles and the track. In order to study its effect on the safety and comfort of vehicles, a vehicle body-suspension frame-track dynamic model for single-magnet suspension systems was established. Using this model, the stability of the vehicle-track system was analyzed together with the influence of the suspension controller and main system parameters on the vibration. Consequently, a relational expression between the system parameters and stability was proposed, and a specific method of using instantaneous optimal control algorithm to inhibit the self-excited vibration of the vehicle-track system was discussed. The inhibiting effect on self-excited vibration of the proposed algorithm was simulated under three groups of different system parameters. The results indicate that the vehicle structure, the suspension controller, and the main parameters of the track would influence each other in the vehicle-track self-excited vibration. At the time of 10 s after the simulation system started, the amplitude of the suspension air gap vibration in the three parameter configurations decreased by 59%, 62%, and 5% respectively; and the amplitude of track vibration decreased by 48%, 94%, and 73% respectively, which demonstrated the effectiveness of the proposed control method.
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赵春发. 磁悬浮车辆系统动力学研究 [D]. 成都:西南交通大学,2002. 翟婉明,赵春发. 磁浮车辆/轨道系统动力学(Ⅰ):磁/轨相互作用及稳定性 李莉,孟光. 慢起慢落时磁浮车辆与钢轨道框架耦合共振分析 ZHOU D F, HANSEN C H, LI J. Suppression of maglev vehicle-girder self-excited vibration using a virtual tuned mass damper [J]. 机械工程学报,2005,41(7): 1-10. ZHAI Wanming, ZHAO Chunfa. Dynamics of maglev vehicle/guideway sysystems(Ⅰ): magnet/rail interaction and system stability 施晓红,龙志强. 磁悬浮车轨耦合控制系统的非线性振动特性分析 [J]. Chinese Journal of Mechanical Engineering, 2005, 41(7): 1-10. 洪华杰,李杰,张锰. 磁浮车轨耦合系统稳定性分析 邹东升,佘龙华,张志强,等. 磁浮系统车轨耦合振动分析 [J]. 振动与冲击,2006,25(6): 46-48. LI Li, MENG Guang. Analysis on resonance vibration of maglev trains suspending or loading on steel track frame [J]. Journal of Vibration and Shock, 2006, 25(6): 46-48. 黎松奇,张昆仑. 磁浮列车车轨耦合振动仿真研究 梁鑫,罗世辉,马卫华,等. 磁浮列车单铁悬浮车桥耦合振动分析 王洪坡,李杰. 一类非自治位置时滞反馈控制系统的亚谐共振响应 [J]. Journal of Sound and Vibration, 2011, 330(5): 883-901. ZHANG Lingling, HUANG Lihong, ZHANG Zhizhou. Hopf bifurcation of the maglev time-delay feedback system via pseudo-oscillator analysis [J]. 铁道学报,2009,31(4): 38-42. SHI Xiaohong, LONG Zhiqiang. Nonlinear vibration analysis of the maglev guideway-vehicle coupling control system WANG Hui, SHEN Gang, ZHOU Jinsong. Control strategy of maglev vehicles based on particle swarm algorithm [J]. Journal of the China Rrailway Society, 2009, 31(4): 38-42. 李云钢,常文森. 磁浮列车悬浮系统的串级控制 李宏男,李忠献,祁皑,等. 结构振动与控制 [J]. 控制理论与应用,2006,23(3): 421-428. HONG Huajie, LI Jie, ZHANG Meng. Stability analysis of magnetic levitation system with vehicle-guideway interaction [J]. Journal of Control Theory and Applications, 2006, 23(3): 421-428. [J]. 电子学报,2010,38(9): 2071-2075. ZOU Dongsheng, SHE Longhua, ZHANG Zhiqiang, et al. Maglev vehicle and guideway coupling vibration analysis [J]. Acta Electronica Sinica, 2010, 38(9): 2071-2075. [J]. 计算机仿真,2014,31(8): 137-141. LI Songqi, ZHANG Kunlun. On simulation of track coupling vibration for maglev train [J]. Computer Simulation, 2014, 31(8): 137-141. [J]. 交通运输工程学报,2012,12(2): 32-37. LIANG Xin, LUO Shihui, MA Weihua, et al. Coupling vibration analysis of single-magnet suspension vehicle-bridge for maglev train [J]. Journal of Traffic and Transportation Engineering, 2012, 12(2): 32-37. [J]. 物理学报,2007,56(5): 2504-2516. WANG Hongpo, LI Jie. Sub-harmonic resonances of the non-autonomous system with delayed position feedback control [J]. Acta Physica Sinica, 2007, 56(5): 2504-2516. [J]. Mathematical and Computer Modelling, 2010, 52(5/6): 667-673. [J]. Journal of Modern Transportation, 2014, 22(1): 30-36. [J]. 自动化学报,1999,25(2): 247-251. LI Yungang, CHANG Wensen. Cascade control of an ems maglev vehicle's levitation control system [J]. Acta Automatica Sinica, 1999, 25(2): 247-251. [M]. 北京:中国建筑工业出版社,2005: 356-359.
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