In different applications, optimal values of an impact damper parameters (impact mass, elastic coefficient of barrier etc.) should be found in order to damp undesired vibrations efficiently. The main target of this work is modeling and investigating the behaviour of a kind of impact dampers. Our model incorporates Hertzian contact between the impact mass and the barrie. In next step, due to the strong non-linearity of the model, Homotopy Perturbation method is used to solve the governing equation of the main mass motion. To confirm the accuracy of this method, results are compared with numerical solutions. Next, a systematic approach based on a Genetic Algorithm optimization method is used to determine the best design parameters for suppressing vibrations. Finally, optimum parameters for complete quenching of vibrations are obtained.

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