Abstract
In this paper, theoretical analysis of longitudinal free vibration was carried out for Tb-Dy-Fe series magnetostrictive actuator and transducer. The formulations considered two constitutive laws; in one we employ the standard square nonlinear constitutive equation of magnetostriction and in the other we employ the linear piezomagnetic equation. The results obtained from the nonlinear equation can be reduced to the linear piezomagnetic equation when the amplitude of the excitation magnetic field provided by the coil is very small compared to the bias magnetic field and its frequency does not induce resonance of the system. For the case of a relatively large excitation magnetic field, which usually exists for an actuator, the nonlinear constitutive equation should be adopted in order to provide an accurate prediction for the design and analysis of actuator and transducer. Another important aspect is the resonance of the Tb-Dy-Fe series transducers that was revealed in the analysis using the nonlinear constitutive equation. The resonance not only appears at the natural frequencies of the system, but also arises when the frequency of excitation current in the coil happens to be half of one of the natural frequencies of the system. This conclusion cannot be reached using the linear piezomagnetic formulation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Carman, G.P. and Mitrovic, M. (1996). Nonlinear constitutive relations for magnetostrictive materials with applications to 1-D problems. Journal of Intelligent Material Systems and Structures 6, 673–683.
Clark, A.E. (1980). Magnetostrictive rare earth-Fe2 compounds. In E.P. Wohlfarth (ed.), Ferromagnetic Materials. Amsterdam, North Holland, vol.1, pp. 531–589.
Huang, J.H. and Kuo, W.S. (1997). The analysis of piezoeletric/piezomagnetic composite materials containing ellipsoidal inclusions. Journal of Applied Physics 81, 1378–1386.
Moffet, M.B., Clark, A.E., Wun-Fogle, M., Linberg, J., Teter, J.P. and McLaughlin, E.A. (1991). Characterization of Terfenol-D for magnetostrictive transducers. Journal of Acoustics Society of America 89, 1448–1455.
Ohmata, K., Zaike, M. and Koh, T. (1997). A three-link arm type vibration control device using magnetostrictive actuators. Journal of Alloys and Compounds 258, 74–78.
Wan, Y.P., Fang, D.N. and Hwang, K.-Ch. (2003a). Nonlinear Constitutive Relations for the Magnetostrictive Materials. International Journal of Non-linear Mechanics38, 1053–1065.
Wan, Y.P., Fang, D.N., Soh, A.K. and Hwang, K.-Ch. (2003b). Experimental and theoretical study of the nonlinear response of a giant magnetostrictive rod. Acta Mechanica Sinica19, 324–329.
Wan, Y.P., Fang, D.N., Soh, A.K. and Hwang, K.-Ch. (2003c). Effects of magnetostriction on fracture of a soft ferromagnetic medium with a crack-like flaw. Fatigue and Fracture of Engineering Materials and Structures 26, 1091–1102.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wan, Y., Zhong, Z. Vibration Analysis of Tb-Dy-Fe Magnetostriction Actuator and Transducer. Mechanics and Materials in Design 1, 95–107 (2004). https://doi.org/10.1023/B:MAMD.0000035479.08730.d7
Issue Date:
DOI: https://doi.org/10.1023/B:MAMD.0000035479.08730.d7