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

摘要

Several magnetic force models were developed to interpret various phenomena of a softnferromagnetic beam plate subjected to a uniform external magnetic field with differentnincident angles. In this paper, a new transverse magnetic force model for the interfacenbetween a ferromagnetic material and the air is derived with the continuation of magne-ntoelastic stress across the material boundary. It is noted that both the normal and thentangential components of magnetic field on the material boundary are considered in thisnmodel. By applying such a transverse magnetic force and the effect of magnetic viscousndamping, a new theoretical model is constructed in this study to predict the naturalnfrequency of a soft ferromagnetic beam plate placed in an in-plane magnetic field. Thennumerical results of the present study are displayed graphically and compared with thenexperimental data, which appeared in literature to assure the exactness of the presentnwork. u0001DOI: 10.1115/1.3168602