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Research Papers

The Magnetic Viscous Damping Effect on the Natural Frequency of a Beam Plate Subject to an In-Plane Magnetic Field

[+] Author and Article Information
Jui-Lin Lee

Department of Automation Engineering, Nan Kai University of Technology, Nantou, Taiwan 542, R.O.C.

Chun-Bo Lin

Department of Industrial Engineering and Management, Overseas Chinese University, Taichung, Taiwan 407, R.O.C.

J. Appl. Mech 77(1), 011014 (Oct 05, 2009) (10 pages) doi:10.1115/1.3168602 History: Received July 25, 2008; Revised June 02, 2009; Published October 05, 2009

Several magnetic force models were developed to interpret various phenomena of a soft ferromagnetic beam plate subjected to a uniform external magnetic field with different incident angles. In this paper, a new transverse magnetic force model for the interface between a ferromagnetic material and the air is derived with the continuation of magnetoelastic stress across the material boundary. It is noted that both the normal and the tangential components of magnetic field on the material boundary are considered in this model. By applying such a transverse magnetic force and the effect of magnetic viscous damping, a new theoretical model is constructed in this study to predict the natural frequency of a soft ferromagnetic beam plate placed in an in-plane magnetic field. The numerical results of the present study are displayed graphically and compared with the experimental data, which appeared in literature to assure the exactness of the present work.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

A ferromagnetic cantilevered beam plate in an in-plane magnetic induction

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Figure 2

A ferromagnetic cantilevered elliptic beam plate in an in-plane magnetic induction

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Figure 3

The material number for a FEM model of a beam plate on the in-plane magnetic induction

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Figure 4

The FEM output for the distribution of magnetic field on a cantilevered beam plate subjected to an in-plane magnetic induction: (a) μr1=μr2=1 and (b) μr1=1, μr2=12

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Figure 5

The normalized differentiation Hx,y(1)(x)/(B0x/μ0) of magnetic field for a cantilevered beam plate on an in-plane magnetic induction: (a) L/h=100/0.29 and (b) L/h=100/0.5

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Figure 6

The variation in natural frequency of a cantilevered beam plate on the in-plane magnetic induction with χ2=11: (a) L/h=100/0.29 and (b) L/h=100/0.5

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Figure 7

The variation in natural frequency of a cantilevered beam plate on the in-plane magnetic induction: (a) L/h=100/0.29 with xr=0.955 and (b) L/h=100/0.5 with xr=0.925

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Figure 8

The variation in damping ratio of a cantilevered beam plate on the in-plane magnetic induction with χ2=11: (a) L/h=100/0.29 and (b) L/h=100/0.5

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