Electromagnetically Induced Vibration in Particulate Functionalized Materials

Abstract

In many smallscale devices, the materials employed are functionalized (doped) with microscale and/or nanoscale particles, in order to deliver desired overall dielectric properties. In this work, we develop a reducedorder lumpedmass model to characterize the dynamic response of a material possessing a microstructure that is comprised of an electromagneticallyneutral binder with embedded electromagneticallysensitive (charged) particles. In certain industrial applications, such materials may encounter external electrical loading that can be highly oscillatory. Therefore, it is possible for the forcing frequencies to activate the inherent resonant frequencies of these microand nanostructures. In order to extract qualitative information, this paper first analytically investigates the mechanical and electromagnetic (cyclotronic) contributions to the dynamic response for a single particle, and then quantitatively investigates the response of a model problem consisting of a coupled multiparticle periodic array, via numerical simulation, using an implicit temporallyadaptive trapezoidal timestepping scheme. For the model problem, numerical studies are conducted to observe the cyclotronicallydominated resonant frequency and associated beat phenomena, which arises due to the presence of mechanical and electromagnetic harmonics in the material system.