Oscillations of a magneto‐sensitive elastic sphere

Abstract

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.

On the Time-Dependent Behavior of FGM Plates

“…Here ... denotes the integration over the plate thickness h. For the plate which is symmetrically to the midplane the relation B B B = 0 0 0 holds true. The relaxation functions of the isotropic viscoelastic plate with symmetric cross-section were considered in [25]. Note that for the isotropic viscoelastic material three functions E(s), µ(s) and ν(s) are introduced.…”

Assessment of dynamic characteristics of thin cylindrical sandwich panels with magnetorheological core

“…For sandwich shells containing ER/MR core, there are only a few results, see, for example, Yeh (2011), Mohammadi and Sedaghati (2012), Mikhasev et al (2011Mikhasev et al ( , 2014 and Altenbach et al (2008). Yeh (2011) and Mohammadi and Sedaghati (2012) developed different variants of FEM to analyse free vibrations of sandwich shells containing ER core and shown that applying electric fields leads to both the change of eigenfrequencies and enhancement of damping properties of smart structures.…”

Inelastic deformation of conductive bodies in electromagnetic fields

“…They formulated general asymptotic solutions of the three-dimensional equations of magnetoelasticity for shells and plates and proposed a theory of magnetoelasticity for thin bodies. Wave propagations, oscillations, control and other problems in the theory of magnetoelastic solids are considered in [2,[11][12][13].…”