Applied Theory of Vibrations of a Composite Electromagnetoelastic Bimorph with Damping

In this paper, we considered the plane problem of steady-state bending vibrations of a hinged-supported bimorph in an alternating magnetic field, considering damping. The bimorph under study consisted of a multilayer electromagnetoelastic composite modeled using the effective modulus approach. Within the framework of Kirchhoff's hypotheses, an applied theory was constructed, which considered the quadratic distributions of electric and magnetic potentials along the thickness of the bimorph and considered heterogeneity in the longitudinal direction. In addition, the theory introduced linear viscoelasticity. Using the resulting theory, distributions of electric, magnetic, and mechanical fields were constructed. Comparison of the obtained results, based on the theory, with the results of the finite element model in the COMSOL Multiphysics package showed a good convergence of the results. Next, based on the obtained theory, the behavior of plate de-flection in the vicinity of the first resonance was studied at various values of the damping coefficient, which showed that the obtained theory can be used to analyze the bandwidth of converters, based on constructing the amplitude-frequency characteristics of bimorphs made of an electromagnetoelastic composite.