Dynamic stiffness formulation for a piezoelectric array element

The formulation for developing the dynamic stiffness matrix for a piezoelectric array element with arbitrary boundary conditions is presented in this paper. Gorman's superposition method innovatively utilized to obtain the solutions of the governing equations of motion for piezoelectric materials. Boundary conditions are satisfied in a strong form and Projection method is adopted for solving the spatial dependence. The results obtained for a piezoelectric array element operating a transmitter and receiver are validated by the finite element method using COMSOL Multiphysics.

Automated summary

This paper presents a formulation for developing the dynamic stiffness matrix of a piezoelectric array element with arbitrary boundary conditions. Gorman's superposition method is innovatively utilized to obtain the solutions of the governing equations of motion for piezoelectric materials. The strong form of boundary conditions is satisfied, and the Projection method is adopted for solving the spatial dependence. The results of a piezoelectric array element operating as a transmitter and receiver are validated using the finite element method with COMSOL Multiphysics.