Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers
Langevin 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 resonan...
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-11-01
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| Series: | Actuators |
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| Online Access: | http://www.mdpi.com/2076-0825/4/4/255 |
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| author | Nicolás Peréz Alvarez Andrea Cardoni Niccolo Cerisola Enrique Riera Marco Aurélio Brizzotti Andrade Julio Cezar Adamowski |
| author_facet | Nicolás Peréz Alvarez Andrea Cardoni Niccolo Cerisola Enrique Riera Marco Aurélio Brizzotti Andrade Julio Cezar Adamowski |
| author_sort | Nicolás Peréz Alvarez |
| collection | DOAJ |
| description | Langevin 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. |
| first_indexed | 2024-04-13T22:08:05Z |
| format | Article |
| id | doaj.art-556779afae2c4d19b684cd31ad6abaeb |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-04-13T22:08:05Z |
| publishDate | 2015-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-556779afae2c4d19b684cd31ad6abaeb2022-12-22T02:27:52ZengMDPI AGActuators2076-08252015-11-014425526610.3390/act4040255act4040255Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric TransducersNicolás Peréz Alvarez0Andrea Cardoni1Niccolo Cerisola2Enrique Riera3Marco Aurélio Brizzotti Andrade4Julio Cezar Adamowski5Centro Universitario de Paysandú, Universidad de la República, Ruta 3, Km 363, CP 60000, Paysandú, UruguayPusonics SL., Pico Mulhacen 34, Arganda del Rey, Madrid, CP 28500, SpainMectron S.p.A, Carasco, CP 16042, GE, ItalyGrupo de Ultrasonidos de Potencia, CSIC, Serrano 144, CP 28006-Madrid, SpainInstituto de Física, Universidade de São Paulo, CP 66318, 05314-970, São Paulo, BrazilDepartamento de Engenharia Mecatrônica e de Sistemas Mecânicos, Universidade de São Paulo, Av. Prof. Mello Moraes 2231, São Paulo, CP 66318, BrazilLangevin 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.http://www.mdpi.com/2076-0825/4/4/255Langevin transducersnonlinear modelRayleigh law |
| spellingShingle | Nicolás Peréz Alvarez Andrea Cardoni Niccolo Cerisola Enrique Riera Marco Aurélio Brizzotti Andrade Julio Cezar Adamowski Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers Actuators Langevin transducers nonlinear model Rayleigh law |
| title | Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers |
| title_full | Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers |
| title_fullStr | Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers |
| title_full_unstemmed | Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers |
| title_short | Nonlinear Dynamic Modeling of Langevin-Type Piezoelectric Transducers |
| title_sort | nonlinear dynamic modeling of langevin type piezoelectric transducers |
| topic | Langevin transducers nonlinear model Rayleigh law |
| url | http://www.mdpi.com/2076-0825/4/4/255 |
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