The aim of the article is the modeling of the rearrangement process between martensite variants in order to use magnetic shape memory alloys (MSMs) as actuators. In the framework of the thermodynamics of irreversible processes, an efficient choice of the internal variables to take into account the magnetic and mechanical actions and a free energy function are stated. The behavior is chosen as magnetically reversible and mechanically irreversible. An equivalence between magnetic field action H and uniaxial stress action for the initiation of the rearrangement is established. Finally, model predictions are compared with experimental measurements.
To cite this version:Joël Abadie, Emmanuel Piat, Stéphane Oster, Mehdi Boukallel. Modeling and experimentation of a passive low frequency nanoforce sensor based on diamagnetic levitation.. Sensors and Actuators A: Physical , Elsevier, 2012, 173, pp.227-237. 10.1016/j.sna.2011 Modeling and experimentation of a passive low frequency nanoforce sensor based on diamagnetic levitation
This paper proposes an application of the Lagrangian formalism and its Hamiltonian extension to design, model and control a mechatronic system using Magnetic Shape Memory Alloys. In this aim, an original dynamical modelling of a Magnetic Shape Memory Alloy based actuator is presented. Energy-based techniques are used to obtain a coherent modelling of the magnetical, mechanical and thermodynamic phenomena. The Lagrangian formalism, well suited in such a case, is introduced and used to take into account the dynamical effects. Hamilton equations are deduced and used for the computation of the theoretical behaviour of this actuator. These numerical simulations are compared with some experimental measurements permitting the validation of the proposed modelling. Beyond the work presented here, these results will be used to design an energy shaping nonlinear control well-adapted for a strongly nonlinear active material.
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