Magnetoviscoelasticity parametric model of an MR elastomer vibration mitigation device

Abstract

Both experimental and modeling studies of magnetic field induced viscoelastic properties of magnetorheological (MR) elastomers under different loading cases are discussed. Anisotropic MR elastomer (MRE) samples with different concentrations of carbonyl iron powder, natural rubber and additives are fabricated and four MRE vibration mitigation devices are manufactured to investigate the dynamic viscoelastic properties of MREs under varying magnetic fields, displacement amplitudes and frequencies in the shear mode. The characteristics of the dynamic properties of the MRE devices are obtained in terms of the experimentally determined shear storage modulus and loss factor. These results demonstrate that the MREs exhibit variable stiffness and damping properties. Based on the studies of properties of viscoelastic materials and the experimental results of MREs, a parameter model is proposed to describe MRE performances. The four parameters under various working conditions, such as magnetic field, displacement amplitude and frequency, are identified by using the Matlab optimization algorithm. Comparisons between experimental and numerical results are discussed, and the results show that the proposed parameter model can describe the performances of MRE devices very well.

Viscoelastic Properties of Magnetorheological Elastomers for Damping Applications

“…In order to acquire the effect of the magnetic field on hysteresis curve in detail, the characteristic parameters including the storage modulus G ′ and the loss factor η which represent the stiffness and energy dissipation, respectively, are calculated in accordance with Equation (1) and (2): where u 0 is the maximum displacement in hysteresis curves, F 1 is the corresponding force at the displacement u 0 , F 2 is the corresponding force at the zero displacement. All these value of F 1 , F 2 , and u 0 can be obtained from the experimental curves.…”

“…In order to acquire the effect of the magnetic field on hysteresis curve in detail, the characteristic parameters including the storage modulus G 0 and the loss factor h which represent the stiffness and energy dissipation, respectively, are calculated in accordance with Equation (1) and (2): [39,40]…”

Recent Progress on Magnetorheological Solids: Materials, Fabrication, Testing, and Applications

“…The supplements that have been applied in MREs include zinc oxide and stearic acid as activators, sulfenamide (CZ) as an accelerator, sulfur as a crosslinking agent, and mercaptobenzothiazole. [49,97,117,[158][159][160][161][162][163][164][165][166][167][168] The concentration of each supplement influences the quality of the matrix; for example, excessive plasticizer will lead the rubber to become soft, and, hence, unable to sustain a load. [98] Synthetic rubber-based MREs received more attention than the natural rubber MREs since they have higher resistance to oil, better aging, and weathering as well as resilience over a wide temperature range.…”

“…Zhou and coworkers [39,88] developed analytical model to represent shear properties including complex shear modulus and damping factor. The mentioned analytical approaches were referred as basic analytical of MREs in late 10 years non-phenomenological model development such as energy approach; [242] magnetic-induced shear modulus based on multi-chain; [38] bimodal particles model; [243] viscoelastic fractional derivative model, [168] and Neo-Hookean based finite element approach. [204] The phenomenological model which used empirical data as model development base was also interestingly used in modeling area.…”

A principal axis formulation for nonlinear magnetoelastic deformations: Isotropic bodies

“…These materials have attracted the attention of different researchers due to the possible applications, for example, in vibration control and in the design of flexible robots, see, for example (Albanese et al, 2003;B€ ose et al, 2012;Deng and Gong, 2008;Farshad and Le Roux, 2004;Ghafoorianfar et al, 2013;Ginder et al, 1999Ginder et al, , 2000Ginder et al, , 2001Kashima et al, 2012;Li and Zhang, 2008;Yalcintas and Dai, 2004;Zhu et al, 2012). The theory of nonlinear magneto-elastic interactions was developed many decades ago, we can mention, for example, the monograph by Brown (1966) and Maugin (1988) and Eringen and Maugin (1990); Hutter et al (2006); Tiersten (1964).…”