Material modeling of frequency, magnetic field and strain dependent response of magnetorheological elastomer

Abstract

Accurate modeling of material behavior is very critical for the success of magnetorheological elastomer-based semi-active control device. The material property of magnetorheological elastomer is sensitive to the frequency, magnetic field and the input strain. Additionally, these properties are unique for a particular combination of matrix and the filler loading. An experimental-based characterization approach is costly and time consuming as it demands a large amount of experimental data. This process can be simplified by adopting material modeling approach. The material modeling of magnetorheological elastomer is an extension of conventional viscoelastic constitutive relations coupled with hysteresis and magnetic field sensitive attributes. In the present study, a mathematical relation to represent the frequency, magnetic field and strain dependent behavior of magnetorheological elastomer is presented. The viscoelastic behavior is represented by a fractional zener element and the magnetic field and strain dependent attributes incorporated in the model by a magnetic spring and linearized Bouc-–Wen element, respectively. The proposed model comprised of a total of eight parameters, which are identified by minimizing the least square error between the model predicted and the experimental response. The variations of each parameter with respect to the operating conditions are represented by a generalized expression. The parameters estimated from the generalized expression are used to assess the ability of the model in describing the dynamic response of magnetorheological elastomer. The proposed model effectively predicted the stiffness characteristics with an accuracy, more than 94.3% and the corresponding accuracy in predicting the damping properties is above 90.1%. This model is capable of fitting the experimental value with a fitness value of more than 93.22%.

Dynamic modeling and vibration control for isolation systems based on magnetorheological elastomers

“…Extreme cases of α = 0 and 1 can represent linear springs and Newton dashpots, respectively. The parameter τ is influenced by the response time of MRE materials, and both the parameters τ and α will contribute to the damping of isolation systems (Nadzharyan et al, 2018; Nguyen et al, 2020; Poojary and Gangadharan, 2021; Zhu et al, 2021a).…”

Theoretical Modeling of Magnetoactive Elastomers on Different Scales: A State-of-the-Art Review

“…In [ 150 ], elements that reproduce the nonlinear magnetization of the material, nonlinear elasticity, and elastoplasticity were used. In [ 151 ], the fractional Maxwell model was coupled with a stochastic linearized Bouc–Wen component. This eight-parameter model described viscoelastic as well as the magnetic field and strain dependent behavior of MAEs with a high accuracy exceeding 91%.…”

A Comparative Study on Various ANN Optimization Algorithms for Magnetorheological Elastomer Carbonyl Iron Particle Concentration Estimation

“…Hence, modelling and simulation model is needed to accurately anticipate particle composition under certain conditions. Prediction model for estimating viscoelastic properties (forward model) such as stress relaxation and creep behaviour [15] or particle composition such as particle concentration and size [16] (inverse model) involved with mathematical derivation-based model [17,18] and also machine learning based model [19][20][21].…”