Affiliations: [a] Department of Mathematics and Mechanics, University of
Science and Technology Beijing, 30 Xueyuan Road, Haidian, Beijing, China | [b] Department of Civil Engineering, University of Science
and Technology Beijing, 30 Xueyuan Road, Haidian, Beijing, China | [c] Department of Mechanics and Civil Engineering, Jinan
University, 601 Huangpu Road, Guangzhou, China
Abstract: The periodic vibration of a magnetostrictive actuator is analyzed.
The problem is described in mathematical as solving the displacement response
of a Terfenol-D rod excited by the input harmonic alternating current. The
governing equation and boundary condition include periodically variable
coefficient with time. As the magnetoelastic coefficient of Terfenol-D is
small, a regular perturbation approach is employed to approximately solve the
analytic solution of the problem. The displacement response curves and
amplitude-frequency characteristic curves from the presented analytic solution
agree well with the numeric solution and the experimental data in reference.
The study indicates that the double frequency effect generates in the case of
no biasing magnetic field. However for high biasing magnetic field, the output
displacement depends in synchronous and linearly on the input current. These
features of the solution could provide applicable information for control
design of magnetostrictive actuators.
