Analysis of a new unidimensional model and lateral vibrations of 1-3 piezocomposite side scan sonar array

Abstract

A novel unidimensional model of 1-3 piezocomposite ultrasonic transducers is presented. A new electromechanical model is the generalization of the Smith-Auld unidimentional model, which is formulated in terms of a variational approach. It takes into account the lateral motions of the piezoelectric pillars and polymer, which are supposed to be proportional to the strain in the axial direction. A new set of equivalent elastic, electrical and electromechanical constants of 1-3 piezocomposite is derived. Lamb modes of the 1-3 piezocomposites are investigated in term of the Certon-Patat membrane model by means of direct variational method application. A new design of a 1-3 piezocomposite side scan SONAR array is considered. An implementation of the array is proposed with generation of acoustic beam patterns at three different frequencies: 80 kHz, 300 kHz and 510 kHz