Network representation for piezoelectric bimorphs

The networks associated with the bimorph matrix are presented. The bimorph matrix is diagonalized and eigenvalues and eigenstates are found for the extremes of nonpiezoelectric and strong piezoelectric coupling. A physical interpretation of the eigenvalues and eigenstates is proposed. The bimorph matrix is also diagonalized through elementary operation matrices, which give the matrix in equivalent form. The transformation matrices are of upper triangular form. This transformation yields networks of the simplest possible connection schemes. It is shown that when fewer than the maximum number of boundary conditions are applied, the networks are easily simplified. The networks of the admittance and impedance matrix are presented.