Flexural vibrations of smart beams taking into account the influence of shear, rotatory inertia, and coupling to the electric field

Hans Irschik; Michael Krommer

doi:10.1117/12.316298

24 July 1998 Flexural vibrations of smart beams taking into account the influence of shear, rotatory inertia, and coupling to the electric field

Hans Irschik, Michael Krommer

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Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316298
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

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.

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Hans Irschik and Michael Krommer "Flexural vibrations of smart beams taking into account the influence of shear, rotatory inertia, and coupling to the electric field", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); https://doi.org/10.1117/12.316298

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