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Combined finite element–normal mode expansion methods in electroelasticity and their application to piezoactive motors
Author(s) -
Le Letty R.,
Claeyssen F.,
Lhermet N.,
Hamonic B.,
Decarpigny J. N.,
Bossut R.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970930)40:18<3385::aid-nme218>3.0.co;2-b
Subject(s) - finite element method , displacement (psychology) , rotor (electric) , transient (computer programming) , engineering , basis (linear algebra) , control theory (sociology) , structural engineering , computer science , mathematics , mechanical engineering , geometry , control (management) , artificial intelligence , operating system , psychology , psychotherapist
The proposed numerical modelling technique combines the Finite Element Method (FEM) and the normal mode expansion method. These methods have been mainly used in structural analysis. They can be extended to steady‐state or transient problems of electromechanical structures. This technique associates precise description of the three‐dimensional electromechanical coupling effects by FEM to lumped parameter equivalent circuits simplicity. This circuit is provided by expanding the transducer displacement field with respect to the resonance mode basis. This operation results in relatively few matrix decompositions in computing the contact problems encountered in piezoactive motors analysis. It also gives an interesting insight to the physic of electromechanical energy conversion. In addition, the large rigid displacement of the rotor is easily taken into account. The proposed method is first assessed through some classical problems to show some of its practical advantages and is subsequently applied to piezoactive motor modelling. © 1997 by John Wiley & Sons, Ltd.