# Dynamic hysteretic sensing model of bending-mode Galfenol transducer

## Abstract

A dynamic hysteretic sensing model has been developed to predict the dynamic responses of the magnetic induction, the stress, and the output voltage for a bending-mode Galfenol unimorph transducer subjected simultaneously to acceleration and bias magnetic field. This model is obtained by coupling the hysteretic Armstrong model and the structural dynamic model of the Galfenol unimorph beam. The structural dynamic model of the beam is founded based on the Euler-Bernouli beam theory, the nonlinear constitutive equations, and the Faraday law of electromagnetic induction. Comparisons between the calculated and measured results show the model can describe dynamic nonlinear voltage characteristics of the device, and can predict hysteretic behaviors between the magnetic induction and the stress. Moreover, the model can effectively analyze the effects of the bias magnetic field, the acceleration amplitude, and frequency on the root mean square voltage of the device.

- Authors:

- Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability, Hebei University of Technology, Tianjin 300130 (China)

- Publication Date:

- OSTI Identifier:
- 22403043

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Applied Physics

- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 17; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; AMPLITUDES; BENDING; COMPARATIVE EVALUATIONS; COUPLING; DIFFERENTIAL EQUATIONS; ELECTRIC POTENTIAL; INDUCTION; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; STRESSES; TRANSDUCERS

### Citation Formats

```
Cao, Shuying, E-mail: shuying-cao@hebut.edu.cn, Zheng, Jiaju, Sang, Jie, Zhang, Pengfei, Wang, Bowen, and Huang, Wenmei.
```*Dynamic hysteretic sensing model of bending-mode Galfenol transducer*. United States: N. p., 2015.
Web. doi:10.1063/1.4908296.

```
Cao, Shuying, E-mail: shuying-cao@hebut.edu.cn, Zheng, Jiaju, Sang, Jie, Zhang, Pengfei, Wang, Bowen, & Huang, Wenmei.
```*Dynamic hysteretic sensing model of bending-mode Galfenol transducer*. United States. doi:10.1063/1.4908296.

```
Cao, Shuying, E-mail: shuying-cao@hebut.edu.cn, Zheng, Jiaju, Sang, Jie, Zhang, Pengfei, Wang, Bowen, and Huang, Wenmei. Thu .
"Dynamic hysteretic sensing model of bending-mode Galfenol transducer". United States. doi:10.1063/1.4908296.
```

```
@article{osti_22403043,
```

title = {Dynamic hysteretic sensing model of bending-mode Galfenol transducer},

author = {Cao, Shuying, E-mail: shuying-cao@hebut.edu.cn and Zheng, Jiaju and Sang, Jie and Zhang, Pengfei and Wang, Bowen and Huang, Wenmei},

abstractNote = {A dynamic hysteretic sensing model has been developed to predict the dynamic responses of the magnetic induction, the stress, and the output voltage for a bending-mode Galfenol unimorph transducer subjected simultaneously to acceleration and bias magnetic field. This model is obtained by coupling the hysteretic Armstrong model and the structural dynamic model of the Galfenol unimorph beam. The structural dynamic model of the beam is founded based on the Euler-Bernouli beam theory, the nonlinear constitutive equations, and the Faraday law of electromagnetic induction. Comparisons between the calculated and measured results show the model can describe dynamic nonlinear voltage characteristics of the device, and can predict hysteretic behaviors between the magnetic induction and the stress. Moreover, the model can effectively analyze the effects of the bias magnetic field, the acceleration amplitude, and frequency on the root mean square voltage of the device.},

doi = {10.1063/1.4908296},

journal = {Journal of Applied Physics},

issn = {0021-8979},

number = 17,

volume = 117,

place = {United States},

year = {2015},

month = {5}

}