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Título

Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers

AutorPérez Álvarez, Nicolás; Cardoni, Andrea; Cerisola, Niccolo; Riera, Enrique; Brizzotti Andrade, Marco Aurélio; Adamowski, Julio Cezar
Palabras claveLangevin transducers
Nonlinear model
Rayleigh law
Fecha de publicación18-nov-2015
EditorMultidisciplinary Digital Publishing Institute
CitaciónActuators 4(4): 255-266 (2015)
ResumenLangevin transducers are employed in several applications, such as power ultrasound systems, naval hydrophones, and high-displacement actuators. Nonlinear effects can influence their performance, especially at high vibration amplitude levels. These nonlinear effects produce variations in the resonant frequency, harmonics of the excitation frequency, in addition to loss of symmetry in the frequency response and “frequency domain hysteresis”. In this context, this paper presents a simplified nonlinear dynamic model of power ultrasound transducers requiring only two parameters for simulating the most relevant nonlinear effects. One parameter reproduces the changes in the resonance frequency and the other introduces the dependence of the frequency response on the history of the system. The piezoelectric constitutive equations are extended by a linear dependence of the elastic constant on the mechanical displacement amplitude. For introducing the frequency hysteresis, the elastic constant is computed by combining the current value of the mechanical amplitude with the previous state amplitude. The model developed in this work is applied for predicting the dynamic responses of a 26 kHz ultrasonic transducer. The comparison of theoretical and experimental responses, obtained at several input voltages around the tuned frequency, shows a good agreement, indicating that the model can accurately describe the transducer nonlinear behavior.
Versión del editorhttp://dx.doi.org/10.3390/act4040255
URIhttp://hdl.handle.net/10261/137300
DOI10.3390/act4040255
ISSN2076-0825
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