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Proceedings Paper

Flexural vibrations of smart beams taking into account the influence of shear, rotatory inertia, and coupling to the electric field
Author(s): Hans Irschik; Michael Krommer
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Paper Abstract

Flexural 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 and the pyroelectric effect are incorporated into beam theory via suitable approximations for the axial components of electric field or electric displacement, respectively. Influence of shear and rotary inertia is taken into account in the manner suggested by Timoshenko. It is shown that the effects of the direct piezoelectric and the pyroelectric effect lead to effective stiffness parameters. The present coupled Timoshenko-type theory thus is equal to computational complexity when compared to the commonly used decoupled theory. This advantageous behavior is utilized for studying thermally induced deflections and calculating natural frequencies.

Paper Details

Date Published: 24 July 1998
PDF: 10 pages
Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316298
Show Author Affiliations
Hans Irschik, Johannes Kepler Univ. Linz (Austria)
Michael Krommer, Johannes Kepler Univ. Linz (United States)


Published in SPIE Proceedings Vol. 3323:
Smart Structures and Materials 1998: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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