Inclusion of non-uniform distribution of motion effects in the transmission-line analogs of the piezoelectric plate resonator: theory and experiment

The inclusion of the effects of a non-uniform distribution of vibratory motion in Ballato´s exact transmission-line analogs of the piezoelectric plate resonator is addressed on both theoretical and experimental bases. It is shown that both the mass loading (series inductance) and piezoelectric coupling (transformer) terms are modified by the non-uniform distribution of motion. Typical magnitudes of the required correction factors are discussed, and representative experimental data are presented