Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part I: Magnetoelastic loads in conductive skins

In this study, the magnetoelastic loads for a vibrating conductive beam exposed perpendicularly to an applied steady magnetic field are addressed analytically by considering the effect of finite dimensions. The dynamic equation of such vibrating beam is presented and a simply supported conductive beam is simulated. The simulation indicates that the magnetoelastic loads affect the dynamic properties of the vibrating beam significantly only when the thickness of the beam is extremely small. This work is the basis for investigating and analyzing the field-controllable dynamic properties of a sandwich beam composed of conductive thin outer skins and a magnetorheological elastomer core, which will be presented in the second part of this research.