Hysteresis and Dynamic Response of Magnetorheological Measuring Systems

doi:10.3969/j.issn.1004-132X.2022.17.001

Abstract

Abstract: The control effectiveness of magnetorheological systems depended on the modeling， which was crucial for modeling hysteresis and dynamic response characteristics. By analyzing the hysteresis of each part of the magnetorheological systems excited by a control signal， the method of systematically studying the dynamic behavior of parts was known. By applying the excitation of DC and AC， dynamic response characteristics of the magnetorheological measuring systems were tested and studied. The results show that the current-shear stress relationship under the excitation of the unbiased harmonic current is a butterfly curve， which is caused by the response hysteresis， and the smooths upper and lower edges of the curve are caused by the hysteresis and the nonlinearity of the system， respectively. Finally， the hysteresis time is introduced to better describe the dynamic response relationship between currents and shear stresses in various situations， and the value is as 23.1 ms.

Key words: dynamic response, magnetorheology, measurement, hysteresis

摘要： 磁流变系统的控制效果依赖于系统建模，因此对滞后与动态响应特性的建模尤为重要。通过分析磁流变系统受控制信号激励时各部分的滞后，得到了系统研究各部分动态行为的方法；通过施加直流加交流的激励，测试与研究了磁流变测量系统的动态响应特性。结果表明，无偏置简谐电流激励下电流-剪切应力关系为蝶形曲线，经分析可知其由响应滞后所致，而曲线光滑的上下沿分别由滞后和系统的非线性导致。最后，通过引入滞后时间较好地描述了各种情况下电流与剪切应力间的动态响应关系，其值为23.1 ms。

关键词: 动态响应, 磁流变, 测量, 滞后

CLC Number:

LYU Jingcheng, WEI Yintao, WU Mingyu, HE Junxiang, LIANG Guanqun, YIN Hang. Hysteresis and Dynamic Response of Magnetorheological Measuring Systems[J]. China Mechanical Engineering, 2022, 33(17): 2017-2023.

吕靖成, 危银涛, 邬明宇, 何俊祥, 梁冠群, 尹航. 磁流变测量系统的控制滞后与动态响应[J]. 中国机械工程, 2022, 33(17): 2017-2023.

References

［1］RABINOW J. The Magnetic Fluid Clutch［J］. Transactions of the American Institute of Electrical Engineers， 1948， 67（2）：1308-1315.
［2］NEELAKANTAN V A， WASHINGTON G N. Modeling and Reduction of Centrifuging in Magnetorheological（MR） Transmission Clutches for Automotive Applications［J］. Journal of Intelligent Material Systems & Structures， 2005， 16（9）：703-711.
［3］SUKHWANI V K， HIRANI H. A Comparative Study of Magnetorheological Fluid Brake and Magnetorheological Grease Brake［J］. Tribology Online， 2008， 3（1）：31-35.
［4］郭安薪，李惠，欧进萍，等. 广畅国际大厦磁流变和粘滞阻尼器抗震分析［J］. 世界地震工程， 2003， 19（4）：45-50.
GUO Anxin， LI Hui， OU Jinping， et al. Aseismic Analysis of Guangchang International Center with the MR and Viscous Dampers［J］. World Earthquake Engineering， 2003， 19（4）：45-50.
［5］DU Y C， LIN J W. Magnetorheological Fluid Particle Impact Damper：WO 2021143245［P］. 2021-07-22.
［6］WANG C L， MIAO G Y， CHEN Y F， et al. Magnetic Control Material-based， Magnetorheological， Pilot Operated Safety Valve for Hydraulic Support， and Use Therefor：AU 20200334595［P］. 2021-09-16.
［7］李钢，杜成斌. 磁流变阻尼器密封机制研究［J］. 机械设计与制造， 2011（7）：78-80.
LI Gang， DU Chengbin. Study of Sealing Mechanism of a Magneto-rheological Damper［J］. Machinery Design & Manufacture， 2011（7）：78-80.
［8］KIM B C， CHUNG J H， CHO M W， et al. Magnetorheological Fluid Polishing Using an Electromagnet with Straight Pole-piece for Improving Material Removal Rate［J］. Journal of Mechanical Science and Technology， 2018， 32（7）：3345-3350.
［9］GODASZ J. Insight into Magnetorheological Shock Absorbers［M］. Berlin：Springer International Publishing， 2015.
［10］塞吉奥，查尔斯，克里斯蒂亚诺，等. 车辆半主动悬架控制设计［M］. 危银涛，彭志召，译. 北京：清华大学出版社， 2019：71-134.
SEIGIO M S， CHARLES P-V， CRISTIANO S， et al. Semi-active Suspension Control Design for Vehicles［M］. WEI Yintao， PENG Zhizhao， Trans.. Beijing：Tsinghua University Press， 2019：71-134.
［11］YOON D S， KIM G W， CHOI S B. Response Time of Magnetorheological Dampers to Current Inputs in a Semi-active Suspension System：Modeling， Control and Sensitivity Analysis［J］. Mechanical Systems and Signal Processing， 2021， 146：106999.
［12］QIN Y， ZHAO F， WANG Z， GU L， et al. Comprehensive Analysis for Influence of Controllable Damper Time Delay on Semi-active Suspension Control Strategies［J］. Journal of Vibration and Acoustics， 2017， 139（3）：1006-1-12.
［13］WANG L X， KAMATH H. Modelling Hysteretic Behaviour in Magnetorheological Fluids and Dampers Using Phase-transition Theory［J］. Smart Materials and Structures， 2006， 15（6）：1725-1733.
［14］CHOI S B， HAN Y M. Hysteretic Behavior of a Magnetorheological Fluid：Experimental Identification［J］. Acta Mechanica， 2005， 180（1）：37-47.
［15］KOO J H， GONCALVES F D， AHMADIAN M. Investigation of the Response Time of Magnetorheological Fluid Dampers［C］∥Smart Structures and Materials 2004：Damping and Isolation. San Diego， 2004：63-71.
［16］李川. 磁流变减振器的时滞与控制［D］. 重庆：重庆大学， 2010.
LI Chuan. The Research of Magnetorheological Dampers Time Delay and Control［D］. Chongqing：Chongqing University， 2010. ［17］卡姆普曲克 V W，勒斯 E. 铁氧体磁芯［M］. 冯怀涵，沈执良，池玉清，译. 北京：科学出版社， 1986：218-221.
KAMPCZYK V W， ROB E. Ferritkerne［M］. FENG Huaihan， SHEN Zhiliang， CHI Yuqing， Trans.. Beijing：Science Press， 1986：218-221.
［18］赵如如. 偏磁场与开气隙对磁性材料干扰抑制特性影响的研究［D］. 南京：东南大学， 2012.
ZHAO Ruru. Study on Interference Suppression Characteristics of Magnetic Material under Bias Magnetic Field and Air Gapped Conditions［D］. Nanjing：Southeast University， 2012.
［19］刘永明. 新编实用电工手册［M］. 北京：冶金工业出版社， 1997.
LIU Yongming. New Practical Electricians Handbook［M］. Beijing：Metallurgical Industry Press， 1997.
［20］张忠仕，汪伟，陈文，等. 线圈阻抗、磁心阻抗及材料的标准化阻抗［J］. 磁性材料及器件， 2010， 41（5）：73-75.
ZHANG Zhongshi， WANG Wei， CHEN Wen， et al. Coil Impedance， Magnetic Core Impedance and Standardized Impedance of Materials［J］. Journal of Magnetic Materials and Devices， 2010， 41（5）：73-75.
［21］HANS M L， CLAUS G. Measurement Modes of the Response Time of a Magnetorheological Fluid（MRF）for Changing Magnetic Flux Density［J］. Rheologica Acta， 2007， 46（5）：665-676.

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