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Modelling and optimal control of coupled structural acoustic systems with piezoelectric elements
Author(s) -
Litvinov W. G.,
Kröplin B.
Publication year - 2003
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.434
Subject(s) - uniqueness , piezoelectricity , mathematics , optimal control , shell (structure) , attenuation , acoustic attenuation , mathematical analysis , acoustics , control theory (sociology) , control (management) , mathematical optimization , computer science , physics , mechanical engineering , engineering , optics , artificial intelligence
We construct a model of a shell with piezoelectric elements (patches) that take into account the mutual influence of deformations and electric fields. Coupled problems for the shell with piezoelectric patches and an acoustic field, are studied and results on the existence and the uniqueness are obtained. For this system we consider an optimal control problem on noise attenuation and obtain results on the existence, the uniqueness, necessary and sufficient conditions of optimality. Copyright © 2003 John Wiley & Sons, Ltd.