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工程设计学报
Chinese Journal of Engineering Design  2024, Vol. 31 Issue (3): 402-408    DOI: 10.3785/j.issn.1006-754X.2024.03.185
Mechanical parts and equipment design     
Numerical simulation and performance analysis of magnetorheological damper based on BP and HBP rheological models
Huijie SHU(),Guoliang HU(),Wencai ZHU,Lifan YU,Pinye LI
School of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, China
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Abstract  

To solve the problem that the traditional constitutive model was not accurate in expressing the rheological characteristics of magnetorheological (MR) fluid, the rheological characteristics of MR fluid were tested by using the MCR302 rheometer, and the relationship between shear stress and shear rate under different magnetic fields was obtained. Genetic algorithm was used to identify the parameters of Bingham-Papanastasiou (BP) model and Herschel-Bulkley-Papanastasiou (HBP) model. The simulation model was established based on the identification results, and the dynamic characteristics of the MR damper were simulated numerically. A MR damper was designed and processed, and a damping force test platform was built to test the damping force, and the experimental results were compared with the simulation results. The results showed that the identification results of the rheological characteristics of MR fluid by HBP model were in good agreement with the experimental results. The prediction results of the two models were quite different in the dynamic characteristics of the damper, but the prediction consistency of the flow rate was good. The predicted value of damping force based on HBP model was in good agreement with the experiment value. The proposed HBP model could express the rheological characteristics of MR fluid with high accuracy and had good practical value. The research results can provide reference for the selection of mechanical model of MR damper in vibration control field.

Key words： rheological characteristic      magnetorheological (MR) fluid      numerical simulation      parameter identification     
Received: 03 July 2023      Published: 27 June 2024
CLC:  TH 113  
Corresponding Authors: Guoliang HU     E-mail: 2627079815@qq.com;glhu@ecjtu.edu.cn
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Huijie SHU
Guoliang HU
Wencai ZHU
Lifan YU
Pinye LI
Cite this article:

Huijie SHU,Guoliang HU,Wencai ZHU,Lifan YU,Pinye LI. Numerical simulation and performance analysis of magnetorheological damper based on BP and HBP rheological models. Chinese Journal of Engineering Design, 2024, 31(3): 402-408.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2024.03.185     OR     https://www.zjujournals.com/gcsjxb/Y2024/V31/I3/402


基于BP和HBP流变模型的磁流变阻尼器数值模拟与性能分析

针对传统本构模型表达磁流变液的流变特性精度不高的问题，采用MCR302流变仪对磁流变液的流变特性进行测试，获得了不同磁场下剪切应力与剪切速率之间的关系。利用遗传算法对Bingham-Papanastasiou（BP）模型和Herschel-Bulkley-Papanastasiou（HBP）模型进行参数辨识。利用辨识结果建立了仿真模型，对磁流变阻尼器的动态特性进行数值模拟。设计并加工了磁流变阻尼器，搭建了阻尼力测试平台进行阻尼力测试实验，并将实验结果与仿真结果进行对比。结果表明：HBP模型对磁流变液流变特性的辨识结果与实验结果吻合较好；2个模型对阻尼器动态特性的预测结果相差较大，仅对流速的预测一致性较好；基于HBP模型的阻尼力预测值与实验值较吻合。所提出的HBP模型表达磁流变液流变特性的精度较高，具有良好的实用价值。研究结果可以为振动控制领域磁流变阻尼器力学模型的选择提供参考。


关键词： 流变特性,  磁流变液,  数值模拟,  参数辨识 
Fig.1 Rheological characteristic curves of MR fluid obtained by test
Fig.2 Rheological characteristic curves of MR fluid obtained by test and BP model
B/Tμp/(Pa·s)τy/Pamp/s
00.801.106 3
0.040.8204.31.050 0
0.080.81 000.00.800 0
0.120.82 776.90.060 7
0.160.84 464.60.028 8
0.200.85 881.80.025 3
0.240.87 610.40.021 0
0.280.89 251.10.014 7
0.320.89 300.20.014 3
0.360.810 5210.014 7
0.400.812 6100.014 7
0.440.813 3270.147 0
0.480.814 0000.014 6
0.520.814 2230.014 7
0.560.814 4830.014 7
0.640.814 8320.014 7
0.720.814 5950.014 7
Table 1 Identification result of BP model’s parameters
Fig.3 Rheological characteristic curves of MR fluid obtained by test and HBP model
B/Tτy/Pamp/sm/(Pa·s)n
00.938 41.0010.119 50.920 5
0.041000.5001200.249 2
0.08393.30.114438.80.184 7
0.121 0000.0307400.181 8
0.161 7730.014 11 1420.165 5
0.202 5000.011 341 5080.152 9
0.243 4000.008 791 8850.149 7
0.284 1750.0052 5950.129 2
0.324 8000.004 23 0500.124 6
0.365 4000.003 73 5000.118 4
0.405 8000.003 73 9000.114 2
0.446 0500.003 654 2500.110 4
0.486 3500.003 654 5820.103 0
0.526 5500.003 654 8000.099 37
0.566 8000.003 65 0000.094 09
0.647 0000.003 65 4000.084 48
0.727 1500.003 65 6520.077 46
0.807 2560.003 65 7500.073 57
Table 2 Identification result of HBP model’s parameters
符号参数数值
r1活塞头孔径5.0
r2绕线架半径13.0
r3活塞头半径20.5
r4缸体内径21.5
r5缸体外径29.5
r6活塞杆外径8.0
L1绕线槽宽33.0
L2活塞头宽45.0
L3缸体宽95.0
Table 3 Structural parameters of MR damper
Fig.4 Parametric model of MR damper
Fig.5 Magnetic flux density at effective damping gap based on different models
Fig.6 Variation curve of viscosity of MR fluid with current at effective damping gap
Fig.7 Distribution cloud diagram of flow velocity in fluid region with excitation current of 0.25 A and vibration time of 1 s
Fig.8 Distribution cloud diagram of pressure in fluid region with excitation current of 0.25 A and vibration time of 1 s
I/A

基于BP模型的

阻尼力/N

基于HBP模型的

阻尼力/N

0295.5859.986
0.25438.56377.24
0.50617.68780.24
1.00640.561 050.23
1.50644.351 158.92
Table 4 Simulation results of damping force with excitation current of 0.25 A and vibration time of 1 s
Fig.9 Prototype of MR damper
Fig.10 Damping force test platform
Fig.11 Variation curve of damping force with excitation current
Fig.12 Comparison between measured and simulated values of damping force under different excitation currents
[1]   LIU Y， YANG S， LIAO Y. A new method of parameters identification for magnetorheological damper model［J］. Journal of Mechanical Engineering， 2018， 54（6）： 62-68.
[2]   ALQADO T E， NIKOLAKOPOULOS G， DRITSAS L. Semi-active control of flexible structures using closed-loop input shaping techniques［J］. Structural Control & Health Monitoring， 2017， 24（5）： 1-20.
[3]   POZNIC A， MILORADOVIC D， JUHAS A. A new magnetorheological brake's combined materials design approach［J］. Journal of Mechanical Science & Technology， 2017， 31（3）： 1119-1125.
[4]   KUMAR S， SEHGAL R， WANI M F， et al. Stabilization and tribological properties of magnetorheological （MR） fluids： A review［J］. Journal of Magnetism and Magnetic Materials， 2021， 538： 168295.
[5]   HU G L， QI H N， CHEN M， et al. Optimal design of magnetorheological damper with multiple axial fluid flow channels using BP neural network and particle swarm optimization methodologies［J］. International Journal of Applied Electromagnetics and Mechanics， 2021， 67（3）： 339-360.
[6]   HU G L， WU L F， DENG Y J， et al. Design and performance analysis of magnetorheological damper based on multiphysics coupling model［J］. Journal of Magnetism and Magnetic Materials， 2022， 558： 169527.
[7]   祝世兴，杨丽昆，魏戬，等.基于改进Bingham模型的磁流变阻尼器力学建模及试验研究［J］.重庆理工大学学报（自然科学），2021，35（4）：254-264.
ZHU S X， YANG L K， WEI J， et al. Modeling and experimental study of magnetorheological damper based on improved bingham model［J］. Journal of Chongqing University of Technology （Natural Science）， 2021， 35（4）： 254-264.
[8]   PEI P， PENG Y， QIU C. Magnetorheological damper modeling based on a refined constitutive model for MR fluids［J］. Journal of Intelligent Material Systems and Structures， 2022， 33（10）： 1271-1291.
[9]   ZHANG G， WANG H， QING O， et al. Numerical analysis of multiphysical field for independent three-stage magnetorheological damper of double rod during recoil process of artillery［J］. Proceedings of the Institution of Mechanical Engineers， Part C： Journal of Mechanical Engineering Science， 2019， 233（14）： 4960-4979.
[10]   OUYANG Q， HU H， QIAN C， et al. Investigation of the influence of magnetic field distribution on the magnetorheological absorber with individually controllable coils［J］. IEEE Transactions on Magnetics， 2019， 55（8）： 1-13.
[11]   GUO P， XIE J， DONG X， et al. A two-dimensional axisymmetric finite element analysis of coupled inertial-viscous-frictional-elastic transients in magnetorheological dampers using the compressible herschel-bulkley fluid model［J］. Frontiers in Materials， 2019， 6（1）： 000293.
[12]   KEMERLI M， ENGIN T. Numerical analysis of a monotube mixed mode magnetorheological damper by using a new rheological approach in CFD［J］. Rheologica Acta， 2021， 60（1）： 77-95.
[13]   吴俊岐，侯保林.基于FLUENT的磁流变阻尼器阻尼特性分析［J］.兵器装备工程学报，2017，38（11）：142-145. doi：10.11809/scbgxb2017.11.031
WU J Q， HOU B L. Analysis of damping characteristics of magnetorheological （MR） damper based on FLUENT［J］. Journal of Ordnance Engineering， 2017， 38（11）： 142-145.
doi: 10.11809/scbgxb2017.11.031
[14]   ELSAADY W， OYADIJI S O， NASSER A. A one-way coupled numerical magnetic field and CFD simulation of viscoplastic compressible fluids in MR dampers［J］. International Journal of Mechanical Sciences， 2020， 167（C）： 105265.
[15]   CVEK M. Constitutive models that exceed the fitting capabilities of the Herschel-Bulkley model： A case study for shear magnetorheology［J］. Mechanics of Materials， 2022， 173（10）： 104445.
[16]   LÜ J C， WU M Y， ZHAO T， et al. Accurate prediction of magnetorheological damper characteristics based on a new rheological constitutive model［J］. Structures， 2023， 50： 108-117.
[17]   WEI Y T， LÜ J C， TANG Z， et al. A universal rheological constitutive equation of magnetorheological fluids with a wide shear rate range［J］. Journal of Magnetism and Magnetic Materials， 2022， 563： 169811.
[18]   LI H P， JÖNKKÄRI I， SARLIN E， et al. Temperature effects and temperature-dependent constitutive model of magnetorheological fluids［J］. Rheologica Acta， 2021， 60（11）： 719-728.
[19]   ÖNEN M C， PARLAK Z. Investigation of a non-newtonian MR fluid flow between parallel plates by developed CFD code for different numerical schemes［J］. Smart Materials and Structures， 2022， 31（7）： 075006.
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