A systematic modeling study is conducted to predict the dynamic response of magnetorheological (MR) damper based on a refined constitutive model for MR fluids. A particle-level simulation method is first employed to probe the microstructured behavior and rheological properties of MR fluids, based on which the refined constitutive model is developed. The constitutive model is further validated by comparing the predicted results with the data obtained from microscopic simulations and existing experiments. It is revealed that the proposed constitutive model has comparable accuracy and good applicability in representing MR fluids. Subsequently, a computational fluid dynamics (CFD) model is established to explore MR damper’s behavior by using the proposed constitutive model to describe the fluid rheology. For better capturing the dynamic hysteretic behavior of MR damper, a modified parametric model is developed by combing the Bingham plastic model and the proposed constitutive model. The modified model for MR damper shows its validity and superiority over the existing Bingham plastic models.
BinghamEC (1922) Fluidity and Plasticity, vol. 2. McGraw-Hill. City: New York.
2.
CaseDTaheriBRicherE, et al. (2012) Finite element modeling and analysis of magnetorheological dampers. In: Proceedings of the ASME 2011 international mechanical engineering congress & exposition, Denver, CO, 11–17 November 2011, pp.1203–1209. New York, NY: ASME.
3.
CaseDTaheriBRicherE (2014) Dynamical modeling and experimental study of a small-scale magnetorheological damper. IEEE/ASME Transactions on Mechatronics19(3): 1015–1024.
4.
ChengMChenZLiuW, et al. (2020) A novel parametric model for magnetorheological dampers considering excitation characteristics. Smart Materials and Structures29(4): 045002.
5.
ChoMSChoiHJJhonMS (2005) Shear stress analysis of a semiconducting polymer based electrorheological fluid system. Polymer46(25): 11484–11488.
6.
ChooiWWOyadijiSO (2009) Experimental testing and validation of a magnetorheological (MR) damper model. Journal of Vibration and Acoustics131(6): 061003.
7.
ElsaadyWOyadijiSONasserA (2020) A one-way coupled numerical magnetic field and CFD simulation of viscoplastic compressible fluids in MR dampers. International Journal of Mechanical Sciences167: 105265.
8.
EsmaeilnezhadEHajiabadiSHChoiHJ (2019) Effect of medium viscosity on rheological characteristics of magnetite-based magnetorheological fluids. Journal of Industrial and Engineering Chemistry80: 197–204.
9.
GoldaszJSapinskiB (2012) Nondimensional characterization of flow-mode magnetorheological/electrorheological fluid dampers. Journal of Intelligent Material Systems and Structures23(14): 1545–1562.
10.
GolinelliNSpaggiariA (2018) Characterization of commercial magnetorheological fluids at high shear rate: Influence of the gap. Smart Materials and Structures27(7): 075034.
11.
GuoDHuH (2005) Nonlinear stiffness of a magneto-rheological damper. Nonlinear Dynamics40(3): 241–249.
12.
HerschelWHBulkleyR (1926) Konsistenzmessungen von gummi-benzollösungen. Kolloid-Zeitschrift39(4): 291–300.
13.
HongSRJohnSWereleyNM, et al. (2008) A unifying perspective on the quasi-steady analysis of magnetorheological dampers. Journal of Intelligent Material Systems and Structures19(8): 959–976.
14.
ImaduddinFMazlanSAZamzuriH, et al. (2015) Design and performance analysis of a compact magnetorheological valve with multiple annular and radial gaps. Journal of Intelligent Material Systems and Structures26(9): 1038–1049.
15.
KittipoomwongDKlingenbergDJUlicnyJC (2005) Dynamic yield stress enhancement in bidisperse magnetorheological fluids. Journal of Rheology49(6): 1521–1538.
16.
KubíkMGoldaszJ (2019) Multiphysics model of an MR damper including magnetic hysteresis. Shock and Vibration2019: 1–20.
17.
KwokNMHaQPNguyenTH, et al. (2006) A novel hysteretic model for magnetorheological fluid dampers and parameter identification using particle swarm optimization. Sensors and Actuators A Physical132(2): 441–451.
18.
LemaireEMeunierABossisG, et al. (1995) Influence of the particle size on the rheology of magnetorheological fluids. Journal of Rheology39(5): 1011–1020.
19.
LuHXuZGaoK, et al. (2020) A new invertible model of magnetorheological damper based on sigmoid function. Smart Materials and Structures29(11): 115026.
20.
LvHZhangSSunQ, et al. (2021) The dynamic models, control strategies and applications for magnetorheological damping systems: A systematic review. Journal of Vibration Engineering & Technologies9(1): 131–147.
21.
MileckiAHaukeM (2012) Application of magnetorheological fluid in industrial shock absorbers. Mechanical Systems and Signal Processing28: 528–541.
22.
ParlakZEnginT (2012) Time-dependent CFD and quasi-static analysis of magnetorheological fluid dampers with experimental validation. International Journal of Mechanical Sciences64(1): 22–31.
23.
PeiPPengYB (2021) The squeeze strengthening effect on the rheological and microstructured behaviors of magnetorheological fluids: A molecular dynamics study. Soft Matter17(1): 184–200.
24.
PengYBPeiP (2021) Microstructure evolution based particle chain model for shear yield stress of magnetorheological fluids. Journal of Intelligent Material Systems and Structures32(1): 49–64.
25.
PengYBZhangZKYangJG, et al. (2019) Full-scale simulations of magnetorheological damper for implementation of semi-actively structural control. Journal of Mechanics35(4): 549–562.
26.
RabbaniYAshtianiMHashemabadiSH (2015) An experimental study on the effects of temperature and magnetic field strength on the magnetorheological fluid stability and MR effect. Soft Matter11(22): 4453–4460.
27.
ŞahinİEnginTÇeşmeciŞ (2010) Comparison of some existing parametric models for magnetorheological fluid dampers. Smart Materials and Structures19(3): 035012.
28.
SeoYPChoiHJSeoY (2012) A simplified model for analyzing the flow behavior of electrorheological fluids containing silica nanoparticle-decorated polyaniline nanofibers. Soft Matter8(17): 4659–4663.
29.
SimHGAhnKHLeeSJ (2003) Three-dimensional dynamics simulation of electrorheological fluids under large amplitude oscillatory shear flow. Journal of Rheology47(4): 879–895.
30.
SongWLLiDHTaoY, et al. (2017) Simulation and experimentation of a magnetorheological brake with adjustable gap. Journal of Intelligent Material Systems and Structures28(12): 1614–1626.
31.
SpencerBFDykeSJSainMK, et al. (1997) Phenomenological model for magnetorheological dampers. Journal of Engineering Mechanics123(3): 230–238.
32.
StanwayRSprostonJLStevensNG (1987) Non-linear modelling of an electro-rheological vibration damper. Journal of Electrostatics20(2): 167–184.
33.
StreckerZRoupecJMazurekI, et al. (2015) Design of magnetorheological damper with short time response. Journal of Intelligent Material Systems and Structures26(14): 1951–1958.
34.
Susan-ResigaD (2009) A rheological model for magneto-rheological fluids. Journal of Intelligent Material Systems and Structures20(8): 1001–1010.
35.
TeixeiraPCFSaadNDSLara-MolinaFA, et al. (2019) Evaluation of parametric models dedicated to a magnetorheological actuator including uncertainty and sensitivity analyses. ASCE-ASME Journal Risk and Uncertainty in Engineering Systems Part B Mechanical Engineering5(4): 041003.
36.
VågbergDTigheBP (2017) On the apparent yield stress in non-Brownian magnetorheological fluids. Soft Matter13(39): 7207–7221.
37.
WangDHLiaoWH (2011) Magnetorheological fluid dampers: A review of parametric modelling. Smart Materials and Structures20(2): 023001.
38.
WangDTianZMengQ, et al. (2013) Development of a novel two-layer multiplate magnetorheological clutch for high-power applications. Smart Materials and Structures22(8): 085018.
39.
WangGGengJQiX, et al. (2021) Rheological performances and enhanced sedimentation stability of mesoporous Fe3O4 nanospheres in magnetorheological fluid. Journal of Molecular Liquids336: 116389.
40.
WangXGordaninejadF (2006) Study of magnetorheological fluids at high shear rates. Rheologica Acta45(6): 899–908.
41.
XuZDShaLFZhangXC, et al. (2013) Design, performance test and analysis on magnetorheological damper for earthquake mitigation. Structural Control and Health Monitoring20(6): 956–970.
42.
YangFGongXLXuanSH, et al. (2011) Simulation study on the trembling shear behavior of eletrorheological fluid. Physical Review E84(1): 011504.
43.
YangGQ (2001) Large-scale magnetorheological fluid damper for vibration mitigation: modeling, testing and control. Doctoral Dissertation, University of Notre Dame. Indiana, USA.
44.
YangGQSpencerBFJungHJ, et al. (2004) Dynamic modeling of large-scale magnetorheological damper systems for civil engineering applications. Journal of Engineering Mechanics130(9): 1107–1114.
45.
YuMWangSFuJ, et al. (2013) Unsteady analysis for oscillatory flow of magnetorheological fluid dampers based on Bingham plastic and Herschel–Bulkley models. Journal of Intelligent Material Systems and Structures24(9): 1067–1078.
46.
YuYLiYLiJ, et al. (2019) Characterizing nonlinear oscillation behavior of an MRF variable rotational stiffness device. Smart Structures and Systems24(3): 303–317.
47.
YuYRoyelSLiY, et al. (2020) Dynamic modelling and control of shear-mode rotational MR damper for mitigating hazard vibration of building structures. Smart Materials and Structures29(11): 114006.
48.
ZhangXZhangXZhaoY, et al. (2017) Experimental and numerical studies on a composite MR damper considering magnetic saturation effect. Engineering Structures132: 576–585.
49.
ZhangYLiDCuiH, et al. (2020) A new modified model for the rheological properties of magnetorheological fluids based on different magnetic field. Journal of Magnetism and Magnetic Materials500: 166377.
50.
ZhengJLiYLiZ, et al. (2015) Transient multi-physics analysis of a magnetorheological shock absorber with the inverse Jiles–Atherton hysteresis model. Smart Materials and Structures24(10): 105024.
