On the influence of the electric field on free transverse vibrations of smart beams

Free transverse vibrations of smart beams are considered where distributed actuators and sensors are realized by means of piezoelastic layers. Utilizing a variational formulation, the direct piezoelectric effect is incorporated into beam theory via suitable approximations for the axial components of...

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Bibliographic Details
Published in:Smart materials and structures 1999-06, Vol.8 (3), p.401-410
Main Authors: Krommer, Michael, Irschik, Hans
Format: Article
Language:English
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Summary:Free transverse vibrations of smart beams are considered where distributed actuators and sensors are realized by means of piezoelastic layers. Utilizing a variational formulation, the direct piezoelectric effect is incorporated into beam theory via suitable approximations for the axial components of the electric field or the electric displacement, respectively. The influence of shear and rotary inertia is taken into account in the manner suggested by Timoshenko. It is shown that the correction for electrical coupling leads to effective stiffness parameters. This advantageous behavior is utilized for studying its influence on natural frequencies of smart beams with various boundary conditions. (Author)
ISSN:0964-1726
1361-665X
DOI:10.1088/0964-1726/8/3/311