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Oscillations of Nonlinear Thin Plates Excited by Piezoelectric Patches
Author(s) -
Hoffmann K.H.,
Botkin N.D.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199807)78:7<495::aid-zamm495>3.0.co;2-w
Subject(s) - piezoelectricity , nonlinear system , excited state , dimension (graph theory) , bending , materials science , physics , mechanics , mathematical analysis , acoustics , mathematics , composite material , atomic physics , quantum mechanics , pure mathematics
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.