Numerical Analysis for Vibration of Magnetostrictive Actuator

X. C. Shang (), L. P. Qin and L. M. Liu
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X. C. Shang: University of Science and Technology Beijing, Department of Mathematics and Mechanics
L. P. Qin: University of Science and Technology Beijing, Department of Civil Engineering
L. M. Liu: University of Science and Technology Beijing, Department of Mathematics and Mechanics

A chapter in Computational Mechanics, 2007, pp 407-407 from Springer

Abstract: Abstract Giant magnetostrictive materials (GMM) such as Terfenol-D have been used to make principal driving element in actuator, owing to its fine characteristic that is high energy density and small hysteretic loss. The dynamic behavior of the actuator is described as the periodic vibration of a magnetostrictive rod excited by the input harmonic alternating current. On the basis of the nonlinear constitutive relation of magnetostrictive materials and Ampere’s law for the magnetic field, the mathematical modeling of the vibration problem is constructed by using Harmilton’s principle. The governing equation and boundary condition are of time periodically variable coefficient. In the present work finite difference scheme and transfer matrix method with high performance is developed to simulate numerically the respond of the output displacement at the pusher of actuator to the input exciting current. The numerical results indicate that the response of displacement is of periodic and of double frequency. For control applications of magnetostrictive actuator, the relation curve between the amplitude of output displacement and the peak input current is given.

Date: 2007
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DOI: 10.1007/978-3-540-75999-7_207

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