A Theoretical Prediction of Natural Frequency of a Ferromagnetic Beam Plate With Low Susceptibility in an In-Plane Magnetic Field

[+] Author and Article Information
You-He Zhou

Department of Mechanics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China

Kenzo Miya

Nuclear Engineering Research Laboratory, The University of Tokyo, Tokyo, Japan

J. Appl. Mech 65(1), 121-126 (Mar 01, 1998) (6 pages) doi:10.1115/1.2789014 History: Received October 31, 1994; Revised August 03, 1997; Online October 25, 2007


In order to simulate the experimental phenomenon of increase of natural frequency to a cantilevered ferromagnetic beam plate in in-plane magnetic fields, a theoretical model for behaving the magnetoelastic interaction is proposed in this paper based on the variational principle of energy functional of the system. It is found that the expression of magnetic force is distinctly different from those of the existing theoretical models in publications, and the experimental phenomenon is successfully simulated by this theoretical model. After the increase of natural frequency is quantitatively considered in the predictions of magnetic damping, the theoretical predictions of magnetic damping ratio are agreement with the corresponding experimental data well.

Copyright © 1998 by The American Society of Mechanical Engineers
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