磁流变液阻尼器Bingham-多项式力学模型研究
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摘要
针对磁流变液的流变特性,分别以磁流变液的Bingham力学模型、多项式力学模型和Bingham-多项式力学模型为理论基础,建立磁流变液阻尼器的力学模型,并对三种力学模型进行参数辨识,得到准确的数学模型。搭建一套双通道负载模拟试验台,通过试验研究对比三种力学模型模拟结果和试验测试结果,评估三种力学模型的精度和Runge振荡现象。研究结果表明,Bingham力学模型具有结构简单、物理量意义明确和较强的工程实用性等优点,但缺点是模型精度较差;六阶以上多项式力学模型模拟精度较高,但是随着多项式阶数的升高,模拟曲线的Runge振荡现象也越来越严重,而且曲线有可能失真;提出的Bingham-多项式力学模型能够同时解决传统多项式力学模型中低阶曲线精度低和高阶曲线易振荡的问题,模型的模拟结果和试验测试结果吻合精度较高。研究结果可为磁流变液阻尼器在振动控制领域中力学模型的选择提供参考。
Based on the rheological properties of the magnetorheological fluid in the magnetic field,the dynamic Bingham mechanical model,polynomial model and Bingham-polynomial model of the magnetorheological fluid damper are established,and each of the theoretical mathematical model is obtained after parameter identification.Each precision and Runge turbulence is evlauated for comparing the theoretical and experimental curves by building a dual-channel load simulation test bench as an experimental means.The results show that Bingham model structure is simple,physical meaning is clear,and practicability is strong,but its theoretical models and experimental results are quite different; polynomial model can better to simulate results in more than six,but with the increasing degree of the polynomial,the fitting curve Runge phenomenon will become more serious,and it may be distorted; Bingham-polynomial model is simple,and it can solve the problems that conventional polynomial of the low-order curve which is low precision,high-order curve which is easy to shock,and the experimental results are very good fitting effect.The results can provide the reference of magnetorheological fluid damper dynamics model of choice in the field of vibration control.
Based on the rheological properties of the magnetorheological fluid in the magnetic field,the dynamic Bingham mechanical model,polynomial model and Bingham-polynomial model of the magnetorheological fluid damper are established,and each of the theoretical mathematical model is obtained after parameter identification.Each precision and Runge turbulence is evlauated for comparing the theoretical and experimental curves by building a dual-channel load simulation test bench as an experimental means.The results show that Bingham model structure is simple,physical meaning is clear,and practicability is strong,but its theoretical models and experimental results are quite different; polynomial model can better to simulate results in more than six,but with the increasing degree of the polynomial,the fitting curve Runge phenomenon will become more serious,and it may be distorted; Bingham-polynomial model is simple,and it can solve the problems that conventional polynomial of the low-order curve which is low precision,high-order curve which is easy to shock,and the experimental results are very good fitting effect.The results can provide the reference of magnetorheological fluid damper dynamics model of choice in the field of vibration control.
引文
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[15]王洋.汽车悬架磁流变液阻尼器设计与优化研究[D].哈尔滨:东北林业大学,2010.WANG Yang.Design and optimization of magnetorheological fluid damper for automotive suspension[D].Harbin:Northeast Forestry University,2010.
[16]SB C,SK L,YP P.A hysteresis model for the field-dependent damping of a magnetorheological damper[J].Journal of Sound and Vibration,2001,245(2):375-383.
[17]张洪波.插值法应用的实例分析[J].华北科技学院学报,2010,7(3):71-73.ZHANG Hongbo.An example analysis of the application of interpolation method[J].Journal of North China Institute of Science and Technology,2010,7(3):71-73.
[2]董小闵,彭少俊,于建强.自供电式汽车磁流变减振器特性研究[J].机械工程学报,2016,52(20):83-91.DONG Xiaomin,PENG Shaojun,YU Jianqiang.Study on magneto rheological damper characteristics of self powered.Journal of Mechanical Engineering,2016,52(20):83-91.
[3]马新娜.基于磁流变液阻尼器的高速机车横向振动控制与动力学研究[D].北京:北京交通大学,2012.MA Xinna.Based on magnetorheological fluid damper of high speed locomotive transverse vibration control and dynamics[D].Beijing:Beijing Jiaotong University,2012.
[4]李惠,刘敏,欧进萍,等.斜拉索磁流变智能阻尼控制系统分析与设计[J].中国公路学报,2005,18(4):37-41.LI Hui,LIU Min,OU Jinping,et al.Analysis and design of the intelligent damping control system of the cable stayed cables[J].China Journal of Highway and Transport,2005,18(4):37-41.
[5]陈世嵬,杜鹏飞,李锐,等.磁流变发动机悬置的参数化建模与辨识[J].机械工程学报,2016,52(8):29-35.CHEN Shiwei,DU Pengfei,LI Rui,et al.Parametric modeling and identification of magnetorheological engine mount[J].Journal of Mechanical Engineering,2016,52(8):29-35.
[6]ZHAO Yu,WANG Shilong,ZHOU Jie,et al.Three-stage method for Identifying the dynamic model parameters of stranded wire helical springs[J].Chinese Journal of Mechanical Engineering,2015,28(1):197-207.
[7]PHILIPS R W.Engineering applications of fluids with variable yield stress[D].Berkeley:University of California,1996.
[8]GAVIN H P,HANSON R D,FILISKO F E.Electrorheological dampers,part 1:Analysis and design[J].Journal of Applied Mechanics,1996,63(3):669-675.
[9]KAMATH G M,HURT M K,WERELEY N M.Analysis and testing of bingham plastic behavior in semi-active electrorheological fluid dampers[J].Smart Materials and Structures,1996,5(5):576-590.
[10]ZHANG Hailong,WANG Enrong,ZHANG Ning,et al.Semi-active sliding mode control of vehicle suspension with magneto-rheological damper[J].Chinese Journal of Mechanical Engineering,2015,28(1):63-75.
[11]彭志召,张进秋,岳杰,等.具有并联常通孔的磁流变阻尼器设计与分析[J].机械工程学报,2016,51(8):172-177.PENG Zhizhao,ZHANG Jinqiu,YUE Jie,et al.Design and analysis of magnetorheological damper with parallel through holes[J].Journal of Mechanical Engineering,2016,51(8):172-177.
[12]TAKESHI H,YOICHI S.Shaking Table tests on semi-active base-isolation system by magnetorheological fluid damper[C]//San Diego:Smart Structures and Materials 2003:Smart Structures and Integrated Systems,2003:311-315.
[13]强明辉,张京娥.基于MATLAB的递推最小二乘法辨识与仿真[J].自动化与仪器仪表,2008,6(6):3-5.ZHANG Minghui,ZHANG Jinge.A recursive least square method for identification and Simulation of MATLAB based on[J].Automation and instrumentation,2008,6(6):3-5.
[14]DYKE S J.Seismic protection of a benchmark building using magnetorheological dampers[C]//Kyoto:Proceedings of the 2nd World Conference on Structural Control,1998:230-235.
[15]王洋.汽车悬架磁流变液阻尼器设计与优化研究[D].哈尔滨:东北林业大学,2010.WANG Yang.Design and optimization of magnetorheological fluid damper for automotive suspension[D].Harbin:Northeast Forestry University,2010.
[16]SB C,SK L,YP P.A hysteresis model for the field-dependent damping of a magnetorheological damper[J].Journal of Sound and Vibration,2001,245(2):375-383.
[17]张洪波.插值法应用的实例分析[J].华北科技学院学报,2010,7(3):71-73.ZHANG Hongbo.An example analysis of the application of interpolation method[J].Journal of North China Institute of Science and Technology,2010,7(3):71-73.