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.!25
展开▼
