This paper proposes a compact electromechanical modeling of multi-electrode piezoelectric transformer. This modeling can be applied to the study of standing or traveling flexural wave in piezoelectric systems and especially for ring type piezoelectric transformers. This modelling is based on the Euler-Bernoulli beam theory and from this theory and piezoelectric equations, transfer matrixes linking stresses, velocities and voltages for a beam are determined. In piezoelectric systems with no mechanical boundary in the propagation direction of the wave, for example a ring, an admittance matrix is obtained from the modeling linking all the currents and voltages. This modelling allows moreover the representation and electrical simulation of a piezoelectric element subjected to a traveling wave.
Thomas Martinez, Dejan Vasic, Gaël Pillonnet, and François Costa, "Modeling of a multi-electrodes traveling-wave piezoelectric transformer," Proc. SPIE 10595, Active and Passive Smart Structures and Integrated Systems XII, 105952B (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 08, 2018; Published: 15 March 2018); https://doi.org/10.1117/12.2297639.
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