Structural magnetic strain model for magnetostrictive transducers

Abstract

This paper addresses the modeling of strains generated by magnetostrictive transducers in response to applied magnetic elds. The measured strains are dependent upon both the rotation of moments within the material in response to the eld and the elastic properties of the material. The magnetic behavior is characterized through the consideration of the Jiles-Atherton mean eld theory for ferromagnetic hysteresis in combination with a quadratic moment rotation model for magnetostriction. The incorporation of elastic properties is necessary to account for the dynamics of the material as it vibrates. This is modeled through force balancing which yields a wave equation with magnetostrictive inputs. The validity o f the resulting transducer model is illustrated through comparison with experimental data. i Direction of Rod Motion 000 111 Spring Washer Terfenol-D Rod Compression Bolt Permanent Magnet Wound Wire Solenoid Mass End Figure 1. Cross section of a prototypical Terfenol-D magnetostrictive transducer.

Modeling, Inverse Problems and Feedback Control for Distributed Dynamical Systems

“…The initial models focused on the quantification of the direct and converse magnetoelastic effects [10,57,60,61,62,63] while later components of the investigation have centered on the incorporation of frequency and design properties of the transducers [64,66]. Both theoretical and implementational issues concerning the design of control algorithms which utilize the models have also been investigated in the context of magnetostrictive transducers [68,69,77,78].…”

Free energy model for hysteresis in magnetostrictive transducers

“…The discrepancy between the model and data in the tips of the strain loop indicates limitations in the quadratic magnetostriction model and potential mechanical coupling which must be incorporated through a PDE model for the rod based on the constitutive relations (24). The development of a distributed rod model and the computation of total strains and displacements can be addressed in the manner detailed in [6,7].…”

“…The second extension addresses the incorporation of mean field effects due to interdomain coupling. In the models of Jiles and Atherton [9,11] and subsequent magnetostrictive transducer models [1,6,7], this coupling was modeled by an effective field of the form…”

“…A number of techniques have been considered for quantifying the hysteresis and constitutive nonlinearities inherent to the relation between input field H and the generated magnetization M and strain e. For Terfenol-D transducers, these include Preisach models [15,17] and domain wall models [1,6,7] based on the magnetic theory of Jiles and Atherton [9,11]. For transducer characterization and control design, crucial requirements for the models include automatic closure of biased minor loops, flexibility with regard to temperature and frequency, and sufficient efficiency to permit real-time implementation.…”

Stress-Induced Anisotropy and Stress Dependence of Saturation Magnetostriction in the Jiles-Atherton-Sablik Model of the Magnetoelastic Villari Effect

“…However, the Jiles-Atherton model was developed for isotropic materials [18,19], whereas the presence of mechanical stresses generates significant stressinduced anisotropy K σ in the material. This stress-induced anisotropy created in the isotropic material was not considered in the original Jiles-Atherton-Sablik model.…”