Abstract
A model describing oscillations of nonlinear thin plates excited by piezoelectric actuators is considered. The specific of the model is that the mutual coupling between elastic deformations and electric fields is taken into consideration. Partial differential equations describing the model are stated and their solvability is proved. The question of homogenization when the number of the piezoelectric patches goes to infinity whereas their dimension goes to zero is investigated.
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© 2001 Birkhãuser Verlag Basel/Switzerland
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Hoffmann, KH., Botkin, N.D. (2001). Fully Coupled Model of a Nonlinear Thin Plate Excited by Piezoelectric Actuators. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_9
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DOI: https://doi.org/10.1007/978-3-0348-8148-7_9
Publisher Name: Birkhäuser, Basel
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