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A Mathematical Model for Forced Vibration of Pre-Stressed Piezoelectric Plate-Strip Resting On Rigid FoundationMATEMATIKA
A modal analysis of forced vibrations caused by a time-harmonic force from a piezoelectric plate standing on a rigid foundation is presented. A 3D linearized elasticity theory for solids under initial stress (TLTESIS) is used. It is assumed that a uniformly distributed normal loadings acting on the lateral surfaces of the plate yield the initial stress state. The piezoelectric plate is under the action of a time-harmonic force poled in various directions. A mathematical model is developed, and the problem is solved employing the 3D finite-element method (3D-FEM). Some numerical results illustrating the influence of changes in the poling direction and other important factors, such as the initial stress, on the dynamic behavior of the plate are presented.
Mechanics of Composite Materials – Springer Journals
Published: Mar 1, 2022
Keywords: forced vibration; initial stress; piezoelectric material; frequency response; poling direction
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