Oscillations of Nonlinear Thin Plates Excited by Piezoelectric Patches
Karl Heinz Hoffmann, Nikolai D. Botkin · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1998
A model describing oscillations of nonlinear thin plates excited by patches made of piezoelectric ceramics is proposed. This model is the Kármán system with discontinuous coefficients and additional terms related to piezoelectric properties of patches. Such a model is applicable to the case where the bending is much less than the longitudinal dimension of the plate. The existence of solutions of nonlinear equations describing such composite plates is stated.