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A finite element approach to the simulation of the dynamic responses of electromagnetic induction transducers is presented. The electromagnetic induction transducer for intense sound radiation is considered as a transient coupled magneto-mechano-acoustic system, in which nonlinear effect of the acoustic field is also included. The axisymmetric finite element formulation is developed and solved in the time domain. Some numerical examples are demonstrated for the transducers with a circular plate radiator and a shallow spherical shell radiator. Experimental verification is then made for the fabricated models of small scale. The comparison proves the validity and the capability of the present numerical modelling.