Mathematics & Physics 2016, 10(1), 45–50 УДК 537.633 Properties of Magnetorheological Elastomers in Crossed AC and DC Magnetic Fields Yuliya A. Alekhina∗ Ludmila A.Makarova† Tatyana S. Rusakova‡ Anna S. Semisalova§ Nikolay S.Perov¶ Department of Physics Lomonosov Moscow State University 119991, Moscow Russia Received 06.08.2016, received in revised form 06.09.2016, accepted 16.11.2016 Dynamic properties of magnetorheological elastomers (MREs) with barium ferrite particles in the presence of crossed AC and DC magnetic fields were investigated. <...> Calculations of the magnetic permeability were made based on the fact, that the inductance of the coil changes when the coil is filled with the elastomer. <...> The dependencies of real and imaginary parts of magnetic permeability on AC field frequency had resonance peaks at different values of DC magnetic field strength. <...> The sample vibration was considered in frame of the elastic rod oscillations model. <...> The change of dielectric permittivity of the elastomer with conductive particles under magnetic field (so-called magnetodielectric effect) was also investigated. <...> These effects are the examples of transformation of the magnetic field energy into the electrical or mechanical energy of the MRE. <...> Under magnetic field they can demonstrate effects which characteristics can be controlled by varying the parameters of the elastomer (namely, material and size of the filler particles, elasticity of the matrix, etc.) or the magnetic field parameters. <...> The natural frequency of oscillations can be shifted by applying the external magnetic field [1–5]. <...> Properties of Magnetorheological Elastomers in Crossed AC and DC Magnetic Fields the natural frequency of oscillations of the elastomer with iron particles was about 20–30 Hz. For the higher frequencies, the parameters of the elastomer should be changed. <...> Under magnetic field the change of dielectric permittivity of the elastomer (so–called magnetodielectric effect) can also be observed [7]. <...> The above-mentioned effects are the examples of transformation of the magnetic field energy into the electrical or mechanical energy of the MRE, which allow to construct converters and actuators. <...> Filler concentrations was 56wt.% and 80wt.% for the elastomers with carbonyl iron particles and 61wt.% for the elastomers with barium ferrite particles. <...> For the capacitance measurements, the sample was placed between the plane capacitor plates and then fixed <...>