Advertisement

Study on 3D Internal Magnetic Field Distribution and Dynamic Mechanics of a Giant Magnetostrictive Actuator

Original Paper
  • 27 Downloads

Abstract

The three-dimensional (3D) coupled magneto-elastic dynamic model of a giant magnetostrictive actuator (GMA) was built based on Maxwell’s equations, elasticity, and vibration theories. The general analytical expressions for the 3D internal magnetic field distribution of GMA were derived, and the corresponding analytical solutions were obtained. This analytical model is able to predict the internal magnetic field distribution and the output displacement of GMA system with different physical parameters under external excitations. The dynamic behaviors, such as the amplitude vs. frequency responses and the time domain waveforms of the GMA, were also studied. Analytical solutions showed that the internal magnetic field has a prominent end effect along the axial direction of a giant magnetostrictive material (GMM) rod, whereas a minimal skin effect along its radial direction, which are matched very well with the FEM results. The amplitude-frequency relationship exhibited prominent resonance and anti-resonance characteristic, which is a typical hysteresis feature of the GMA system. In order to testify the validity of the model prediction, a GMA testing system was also established. Excellent agreement was found between the experiment measurements and model predictions in the range of our research (frequency is lower than 300 Hz). The analytical results of the present study have potential applications in the fields of active vibration control and other precision machining of the GMA system.

Keywords

Giant magnetostrictive actuator (GMA) Internal magnetic field distribution Coupled magneto-elastic End effect 

Notes

Funding Information

This work is supported by the Fundamental Research Funds for the Central Universities (N150504006).

References

  1. 1.
    Weisensel, G.N., Hansen, T.T., Hrbek, W.D.: High power ultrasonic Terfenol-D transducers enable commercial application. Proc. SPIE 3326, 50–458 (1998)Google Scholar
  2. 2.
    Zhu, Y., Li, Y.: Development of a deflector-jet electrohydraulic servo valve using a giant magnetostrictive material. Smart Mater. Struct. 23, 115001 (2014)ADSCrossRefGoogle Scholar
  3. 3.
    Wang, W.J., Thomas, P.J.: Low-frequency active noise control of an underwater large-scale structure with distributed giant magnetostrictive actuators. Sens. Actuators A 263, 113–121 (2017)CrossRefGoogle Scholar
  4. 4.
    Clark, A.E.: Magnetostrictive rare earth Fe2 compounds. In: Wohlfarth, E. (ed.) Ferromagnetic materials, pp 531–589. North Holland Pub, Amsterdam (1980)Google Scholar
  5. 5.
    Zhang, T., Jiang, C., Zhang, H., Xu, H.: Giant magnetostrictive actuators for active vibration control. Smart Mater. Struct. 13, 473–477 (2004)ADSCrossRefGoogle Scholar
  6. 6.
    Zhang, T., Yang, B., Li, H., Meng, G.: Dynamic modeling and adaptive vibration control study for giant magnetostrictive actuators. Sens. Actuators A: Phys. 190, 96–105 (2013)CrossRefGoogle Scholar
  7. 7.
    Xiao, Y., Gou, X.F., Zhang, D.G.: A one-dimension nonlinear hysteretic constitutive model with elasto-thermo-magnetic coupling for giant magnetostrictive materials. J. Magn. Magn. Mater. 441, 642–649 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    Wan, Y.P., Fang, D.N., Hwang, K.C.: Non-linear constitutive relations for magnetostrictive materials. Int. J. Non-Linear Mech. 38, 1053–1065 (2003)ADSCrossRefzbMATHGoogle Scholar
  9. 9.
    Zheng, X.J., Liu, X.E.: A nonlinear constitutive model for Terfenol-D rods. J. Appl. Phys. 97, 053901–1-8 (2005)Google Scholar
  10. 10.
    Liu, X.E., Zheng, X.J.: A nonlinear constitutive model for magnetostrictive materials. Acta Mech. Sinica 21, 278–285 (2005)ADSCrossRefzbMATHGoogle Scholar
  11. 11.
    Zhou, H.M., Li, M.H., Li, X.H., Zhang, D.G.: An analytical and explicit multi-field coupled nonlinear constitutive model for Terfenol-D giant magnetostrictive material. Smart Mater. Struct. 25, 085036 (2016)ADSCrossRefGoogle Scholar
  12. 12.
    Sarawate, N., Dapino, M.: A dynamic actuation model for magnetostrictive materials. Smart Mater. Struct. 17, 065013 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    Kannan, K.S., Dasgupta, A.: A nonlinear Galerkin finite-element theory for modeling magnetostrictive smart structures. Smart Mater. Struct. 6, 341–350 (1997)ADSCrossRefGoogle Scholar
  14. 14.
    Pérez-Aparicio, J.L., Sosa, H.: A continuum three-dimensional, fully coupled, dynamic, non-linear finite element formulation for magnetostrictive materials. Smart Mater. Struct. 13, 493–502 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    Cao, Z.T., Cai, J.J.: Design of a giant magnetostrictive motor driven by elliptical motion. Sens. Actuators A 118, 332–337 (2005)CrossRefGoogle Scholar
  16. 16.
    Chakrabarti, S., Dapino, M.J.: Coupled axisymmetric finite element model of a hydraulically amplified magnetostrictive actuator for active powertrain mounts. Finite Elem. Anal. Des. 60, 25–34 (2012)CrossRefGoogle Scholar
  17. 17.
    Ge, G., Li, Z.P., Xu, J.: Response and reliability of a giant magnetostrictive film actuator subject to axial random excitation. J. Supercond. Novel Magn. 30, 2353–2357 (2017)CrossRefGoogle Scholar
  18. 18.
    Visone, C., Serpico, C.: Hysteresis operators for the modeling of magnetostrictive materials. Physica B 306, 78–83 (2001)ADSCrossRefGoogle Scholar
  19. 19.
    Natale, C., Velardi, F., Visone, C.: Identification and compensation of Preisach hysteresis models for magnetostrictive actuators. Physica B 306, 161–165 (2001)ADSCrossRefGoogle Scholar
  20. 20.
    Davino, D., Natale, C., Pirozzi, S., Visone, C.: Phenomenological dynamic model of a magnetostrictive actuator. Physica B 343, 112–116 (2004)ADSCrossRefGoogle Scholar
  21. 21.
    Xue, G.M., Zhang, P.L., He, Z.B., Li, X., Zeng, W., Chu, Y.: Revised reluctance model of the axial magnetic field intensity within giant magnetostrictive rod. P. I. Mech. Eng. C.-J. Mech. 231, 2718–2729 (2017)CrossRefGoogle Scholar
  22. 22.
    Tang, Z.F., Lu, F.Z., Liu, Y.: Magnetic field distribution in the cross section of Terfenol-D rod and its application. J. Rare Earths 27, 525–528 (2009)CrossRefGoogle Scholar
  23. 23.
    Dapino, M.J., Smith, R.C., Flatau, A.B.: Structural magnetic strain model for magnetostrictive transducers. IEEE Trans. Magn. 36, 545–556 (2000)ADSCrossRefGoogle Scholar
  24. 24.
    Tang, G.S.: Monographic Study of Ordinary Differential Equations, pp 249–273. Huazhong University of Science and Technology Press, WuHan (2005)Google Scholar
  25. 25.
    Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, pp. 479–494. Washington D. C. NBS (1966)Google Scholar
  26. 26.
    Or, S.W., Nersessian, N., Gregory, P.C.: Dynamic magnetomechanical behavior of Terfenol-D/Epoxy 1-3 particulate composites. IEEE Trans. Magn. 40, 71–77 (2004)ADSCrossRefGoogle Scholar
  27. 27.
    Or, S.W., Nersessian, N., Gregory, P.C.: Effect of combined magnetic bias and drive fields on dynamics magnetomechanical properties of Terfenol-D/epoxy 1-3 composites. J. Magn. Magn. Mater. 262, 181–185 (2003)CrossRefGoogle Scholar
  28. 28.
    Nersessian, N., Or, S.W., Gregory, P.C.: Magneto-thermo-mechanical characterization of 1-3 type polymer-bonded Terfenol-D composites. J. Magn. Magn. Mater. 263, 101–112 (2003)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of SciencesNortheastern UniversityShenyangPeople’s Republic of China

Personalised recommendations