Abstract
This study is concerned with a magneto-thermo-elastic problem of a conducting beam in an external magnetic field which varies sinusoidally in time. Analytical solutions of eddy currents induced in the beam are derived on the basis of a theory of the quasi-stationary current. One-dimensional transient temperature change produced by the eddy current loss is derived by means of the Green's function method. The deflection and stress in the beam under the condition of simply supported edges are derived on the basis of Bemolli-Euler beam theory. The effect of a frequency in a sinusoidal change in time of the external magnetic field on behaviors of eddy current loss, temperature change, deflection and stress is examined. The skin effect with an increase in a frequency of the external magnetic field on the transient thermo-elastic behavior in the beam is discussed.
