The Optimal Placement of the Piezoelectric Element in a Structure Based on the Solution of the Problem of Natural Vibrations

Abstract

It is a wll-recognized fact that effective damping of vibrations in the structure containing piezo-electrical elements strongly depends on their distribution throughout the structure. In this paper, we consider the possibilities of applying the problem on natural vibrations of elecro-elastic and electro-viscoelastic deformable bodies for identification of optimal location of piezo elements. The results of numerical simulation of the optimal piezo element arrangement in the structure, providing generation of the maximal electric potential at the prescribed resonance frequencies, are presented. The investigation has been carried out for the prototype of the plane wing, representing cantilevered symmetrical and nonsymmetrical trapezoidal plates. The possibilities of applying the problem of natural vibrations for the purpose of optimal performance of piezo elements as sensors and actuators are analyzed.