Abstract
Dynamic characteristics of a beam structure with an active electromagnetic damper are investigated by the use of the finite element method and the Laplace transformation. A shock pulse is applied to a beam subjected to a camping force by the active electromagnetic damper. In the analysis, first, the governing matrix equations of the coupling system consisting of the beam and the active electromagnetic damper are obtained by the use of the finite element method. Then, the governing matrix equations are transformed into the complex domain by the Laplace transformation method, and the transient vibration responses of the coupling system are derived directly by the application of the residue theorem. Furthermore, numerical calculations are carried out for an exponentially decaying pulse and a half sinus one, and the numerical results agree well with the previous experimental ones.