Oscillations of a magneto‐sensitive elastic sphere

Magneto‐sensitive (MS) or magnetorheological (MR) elastomers are smart materials whose mechanical properties change instantly by the application of a magnetic field. MS elastomers are widely used in the practice as elements of MEMS (sensors, actuators, etc.), for example, in medical devices. The behavior of MS elastomers under time‐dependent magnetic field is a complex process and till now is not investigated in all details. Here we present the statements of the dynamic boundary‐value problem of a MS elastomer and demonstrate the special features of the dynamic behavior of such system. As an example both the nonlinear and the linear oscillations of a MS elastic sphere are considered. The control of radially symmetric oscillations of MS elastic sphere by a homogeneous magnetic field is investigated. The presented results can be used for control and generation of radially symmetric acoustic waves using magnetic field excitation.