Analytical modeling of curved piezoelectric, Langevin-type, vibrating transducers using transfer matrices

Abstract : This paper describes a relatively general method based on a transfer matrices approach, for modeling piezoelectric Langevin-type transducers presenting a curved geometry. The obtained equations are simple enough to be solved for a vast number of configurations and be easily implemented in a program. The paper explains how they were obtained and how they can be solved using a method involving transfer matrices. The model was also employed to simulate a real transducer and a good agreement was found between calculated and measured data. Also the results given by model were compared with those obtained with FEM software ANSYS, again the model proved to work well. © 2014 Elsevier B.V.
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A. Cornogolub, P.-J. Cottinet, L. Petit. Analytical modeling of curved piezoelectric, Langevin-type, vibrating transducers using transfer matrices. Sensors and Actuators A: Physical , Elsevier, 2014, 214, pp.120-133. ⟨10.1016/j.sna.2014.04.003⟩. ⟨hal-01770281⟩

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