Research Article | OPEN ACCESS
A Model for a Thin Magnetostrictive Actuator in Nonlinear Dynamics
1G.B. Nkamgang, 1E. Foadieng, 2V. Kamdoum Tamba, 1P.K. Talla and 1A. Fomethe
1Laboratoire de Mécanique et de Modélisation des Systèmes Physiques (L2MSP), Dschang, Cameroon
2Laboratoire d’Electronique et de Traitement du Signal (LETS), Cameroon
Research Journal of Applied Sciences, Engineering and Technology 2015 11:1245-1256
Received: July ‎24, ‎2015 | Accepted: August ‎30, ‎2015 | Published: December 15, 2015
Abstract
In this study, we propose a model for the dynamics of magnetostrictive hysteresis in a thin rod actuator when mechanically the material works in his nonlinear domain. We derive two equations that represent magnetic and mechanical dynamics equilibrium. Our model results from an application of the energy balance principle. The numerical simulations of the model with sinusoidal periodic external fieldgenerate the hysteresis curve and show the equivalent mechanic model. By using the method of multiple scales we analyze the effects of the nonlinear parameter in the system response of magnetostrictive materials. With Routh-Hurwitz theorem, the stability and bifurcation analysis are carried out. Analytical and numerical methods are used to investigate the dynamics of the materials.
Keywords:
Actuator, hysteresis, magnetostriction, material , nonlinear,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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