Abstract: A nonlinear mathematical model of the first-orderapproximation is proposed based on Taylor series expansion, the geneticalgorithm is adopted for the natural frequency of the system, and thesimulation model of the corresponding system is constructed.Simulations of the system of an active hard-disk with a wireless isolatorare carried out under the action of a half-sine impulse. From the theoretical analysesand simulated results, it can be seen that the simulationmodel can be used for different impulse widths, can have the effect of isolation withthe permissible maximum of deformations, and effectively inverse the naturalfrequency of the system with wireless isolators.