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A Coupled FE‐BE Analysis of Smart Lightweight Structures for Active Noise and Vibration Control
Author(s) -
Ringwelski Stefan,
Gabbert Ulrich
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810699
Subject(s) - finite element method , superposition principle , actuator , vibration , piezoelectricity , acoustics , active vibration control , coupling (piping) , vibration control , computer science , noise (video) , smart material , boundary element method , piezoelectric sensor , structural acoustics , engineering , mechanical engineering , structural engineering , physics , materials science , image (mathematics) , quantum mechanics , artificial intelligence , nanotechnology
Over the past years much research and development has been done in the area of active control in order to improve the acoustical and vibrational properties of thin–walled lightweight structures. An efficient technique for actively reducing the structural vibration and sound radiation is the application of smart structures. In smart structures piezoelectric materials are often used as actuators and sensors. The design of smart structures requires fast and reliable simulation tools. Therefore, the purpose of this paper is to present a coupled finite element–boundary element formulation, which enables the modeling of piezoelectric smart lightweight structures. The paper describes the theoretical background of the coupled approach in which the finite element method (FEM) is applied for the modeling of the passive vibrating shell structure as well as the surface attached piezoelectric actuators and sensors. The boundary element method (BEM) is used to characterize the corresponding sound field. In order to derive a coupled FE–BE formulation additional coupling conditions are introduced at the fluid–structure interface. Since the resulting overall model contains a large number of degrees of freedom, the mode superposition method is employed to reduce the size of the FE submodel. To validate the accuracy of the proposed approach, numerical simulations are carried out in the frequency domain and the results are compared with analytical reference solutions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)