以降低城市轨道车辆的车体刚性振动和弹性振动为目的,利用模态的正交性,将车体等效为均质等截面Eluer梁,建立了考虑车体弹性的车-轨-复合吸振器垂向动力学耦合模型,提出了适用于该模型的复合吸振器的设计方法。针对城市轨道车辆运行工况,通过解析求解出复合吸振器刚度、质量参数和目标频率的函数关系式,遍历复合吸振器两振子质量,从而获得与之匹配的刚度参数。利用建立的车体振动能量的评价指标,对不同参数设计复合吸振器的减振性能进行评价,获得车体振动能量最小时的复合吸振器的参数设计。最后,结合车辆的平稳性指标对复合吸振器的减振效果进行验证。研究结果表明:复合吸振器存在两固有频率,对其进行参数的设计时,应首先保证两固有频率与车体浮沉固有频率和一阶弹性频率相谐调,建立的车体振动能量评价指标可以用于对不同设计的吸振器减振性能进行综合评价。复合吸振器的安装,对车体刚性和弹性振动都有较好的减振效果,有利于车辆的运行品质的提升。为利用复合吸振器以降低车辆垂向振动的研究和应用提供一定的参考价值。
Abstract
To reduce vibration of urban rail vehicle body, using modal orthogonality, car body was equivalent to a homogeneous Euler beam with uniform cross-section, the vertical dynamic model of an elastic body-track-composite absorber rigid-flexible coupled system was established, and the design method for composite absorber suitable for this model was proposed.According to operating conditions of urban rail vehicles, the functional relation among stiffness, mass parameters and target frequency of the composite absorber was solved analytically.By going through the mass value of two vibrators of the composite absorber, its matching stiffness parameters were obtained.Using the established evaluation index of the body vibration energy, the vibration reduction performance of the composite absorber designed with different parameters was evaluated to obtain the parametric design of the composite absorber with the minimum body vibration energy.Finally, the vibration reduction effect of the composite absorber was verified by combining with the vehicle stationarity index.The research results showed that there are two natural frequencies of the composite absorber; when designing its parameters, the two natural frequencies should be coordinated with the natural frequency of vehicle body floating and sinking and body first-order elastic frequency; the established body vibration energy evaluation index can be used to comprehensively evaluate vibration reduction performance of absorbers with different designs; the composite absorber installation has a better vibration reduction effect on the vehicle body vibration, and improves the vehicle’s operation quality; the study results provide a reference for the research using composite vibration absorbers to reduce vehicle vertical vibration.
关键词
车体减振
/
弹性振动 /
垂向振动 /
复合吸振器 /
平稳性
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Key words
car body vibration reduction /
elastic vibration /
vertical vibration /
composite vibration absorber /
stationarity
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参考文献
[1] 背户一登. 动力吸振器及其应用[M]. 北京:机械工业出版社,2013.
[2] 曾京,罗仁. 考虑车体弹性效应的铁道客车系统振动分析[J]. 铁道学报,2007,29(6):19-25.
ZENG Jing,LUO Ren. Vibration analysis of railway passenger car system considering the elastic effect of vehicle body [J]. Journal of Railway,2007,29(6):19-25.
[3] NAGAI M, YOSHIDA H, TOHTAKE T, et al. Coupled vibration of passenger and lightweight car-body in consideration of human-body biomechanics[J]. Vehicle System Dynamics, 2006, 44(sup1):601-611.
[4] 周劲松. 铁道车辆振动与控制[M]. 北京:中国铁道出版社, 2012.
ZHOU Jinsong. Railway vehicle vibration and control[M]. Beijing: China Railway Publication House,2012.
[5] FOO E , GOODALL R M. Active suspension control of flexible-bodied railway vehicles using electro-hydraulic and electro-magnetic actuators[J]. Control Engineering Practice, 2000, 8(5):507-518.
[6] 曾京, 邬平波, 郝建华. 铁道客车系统的垂向减振分析[J]. 中国铁道科学, 2006(3):62-67.
ZENG Jing , WU Ping-bo , HAO Jian-hua. Analysis of Vertical Vibration Reduction for Railway Vehicle Systems[J]. China Railway Science, 2006(3):62-67.
[7] 黄彩虹, 曾京. 基于约束阻尼层的高速客车车体弯曲振动的抑制[J]. 交通运输工程学报, 2010(1):36-42.
HUANG Cai-hong, ZENG Jing. Flexural vibration suppression of car body for high-speed passenger car based on constrained damping layers[J]. Journal of Traffic and Transportation Engineering, 2010(1):36-42.
[8] 黄彩虹, 曾京. 基于压电元件的高速客车车体弹性振动被动控制[J]. 铁道学报, 2011, 33(7):19-24.
HUANG Cai-hong, ZENG Jing. Passive vibration control of elastic carbody of high speed passenger cars based on piezoelectric elements[J]. Journal of the China Railway Society, 2011, 33(7):19-24.
[9] 文永蓬,李琼,尚慧琳,等. 考虑车轨耦合作用的车体动力吸振器减振性能研究[J]. 振动与冲击,2016, 35(21):53-62.
WEN Yongpeng, LI Qiong, SHANG Huilin, et al. Study on vibration reduction performance of vehicle body dynamic vibration absorber considering the coupling between vehicle and rail [J] .Journal of Vibration and Shock, 2016,35 (21): 53-62.
[10] 周伟浩,文永蓬,尚慧琳,等.轨道车辆半主动式磁流变吸振器的减振特性研究[J].振动与冲击,2018, 37(16):124-134.
ZHOU Weihao, WEN Yongpeng, SHANG Huilin, et al. Study on the vibration reduction of wide dynamic vibration absorber for the carbody utilizing magnetorheological elastomers[J]. Journal of Vibration and Shock,2018, 37(16):124-134.
[11] 文永蓬,孙倩,周伟浩等. 轨道车辆车体磁流变弹性体吸振器的建模与仿真[J]. 机械工程学报,2018,54(22):114-127.
WEN Yongpeng, SUN Qian, ZHOU Weihao,et al. Modeling and simulation of vibration absorber for the carbody utilizing magnetorheological elastomers[J]. Chinese Journal of Mechanical Engineering,2018,54(22):114-127.
[12] WEN Yongpeng, SUN Qian, ZOU Yu,et al. Study on the vibration suppression of a flexible carbody for urban railway vehicles with a magnetorheological elastomer-based dynamic vibration absorber[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2019, doi: 10.1177/0954409719865370.
[13] YU S, JINSONG Z, DAO G, et al. A New Vibration Absorber Design for Under-Chassis Device of a High-Speed Train[J]. Shock and Vibration, 2017, (2017):1-8.
[14] 孙煜, 周劲松, 宫岛, 等. 基于负刚度的高速动车组二维动力吸振器研究[J]. 同济大学学报 (自然科学版), 2018,46(6): 854-860.
SUN Yu, ZHOU Jinsong, GONG Dao, SUN Wenjing. Two-Dimensional Dynamic Vibration Absorber of High-Speed Electric Multiple Unit(EMU) Train Based on Negative Stiffness[J]. Journal of Tongji University (Natural Science), 2018, 46(6): 854-860.
[15] 周劲松,宫岛,孙文静,等. 铁道客车车体垂向弹性对运行平稳性的影响[J]. 铁道学报, 2009, 31(2):32-37.
ZHOU Jinsong,GONG Dao,SUN Wenjing, et al. Effect of vertical elasticity of railway passenger car body on running stability [J] .Transactions of the Chinese Railway Society, 2009, 31 (2): 32-37.
[16] BENAROYA.H. Mechanical vibration: analysis, uncertainties, and control[J]. International Journal of Acoustics & Vibration, 2004, 1:899 - 904.
[17] 吴天行,华宏星. 机械振动[M]. 清华大学出版社, 2014.
WU Tianxing, HUA Hongxing. Mechanical vibration [M]. Tsinghua University Press, 2014.
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