Abstract
The actuation performance of smart beams with extension and shearmode segments is investigated. The beam models are based on the first-orderand higher-order shear deformation beam theories. The piezoelectric stressresultants are expressed in terms of Heaviside discontinuity functions. Thestate-space approach along with the Jordan canonical form is used to obtainan analytical solution for the static deflection of smart beams with arbitraryboundary conditions. Through demonstrative examples, a comparative study of abeam with extension mode actuators and the corresponding beam with a shearmode actuator is attained. The effects of actuator length and location on thedeflected shape of the beam are studied. Results show that shear patches createthe largest deflection if they are placed near the support, whereas extensionpatches create the largest deflection if they are placed at the beam center.For clamped-hinged and clamped-clamped beams, the actuation performance ofthe shear patches is superior to that of the extension patches.
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