The paper shown one new assisted research of the magnetorheological damper (MRD) used in the on-line optimization of the dynamic behavior of the mechanical applications. To operate with these intelligent elements was necessary to developing the proper research of some dynamic parameters and new mathematical model of the damper. The original contribution of the research was to complete the Bouc-Wen modified model with new four equations and to simulate the rheological damper characteristics. With these new research was possible to know the influence of the changed parameters to the dampers characteristics and to move some of the frequencies in to the attenuation frequency bandwidth of the Fourier spectrum. Method and the results can be used in all others mechanical research.
