Bending of Thin Electromagnetic Plates
S. A. Kaloerov, A. V. Seroshtanov
Donetsk National University, 83001, Donetsk, Russia
Keywords: theory of bending of thin plates, electromagnetoelasticity, complex potentials, series method, exact solutions, piezoelectric effect
Abstract
Main correlations in the theory of bending of thin electromagnetoelastic plates are obtained, in which complex potentials are used. Exact analytical solutions are obtained for the problems of bending an elliptical plate and an infinite plate with an elliptical hole. It is established that no electric or magnetic inductions arise in the case of a simply connected finite plate under mechanical influences, and no mechanical stresses arise under the action of inductions, despite the fact that the piezoelectric effect occurs due to deformations, displacements, and field potentials. The piezoelectric effect in the case of an infinite simply connected plate is always observed and has a significant effect on the values of bending moments. The influence of the physical and mechanical properties of materials and the geometric characteristics of holes on the values of bending moments In the case of a plate with an elliptical hole is studied.
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