Eccentric angular motion transfer mechanisms are analyzed in the paper. The de-balancing mass has an additional degree of freedom in these mechanisms. It was found that certain types of such mechanisms posses interesting nonlinear dynamical features when a self-resonance motion mode occurs. Such self-resonance motion mode takes place when the main driving element rotates with relatively high angular velocity, but low frequency vibrations are generated in the range of fundamental frequency of the system. Analytical, numerical and experimental investigations of nonlinear vibration excitation systems were performed. Such vibration excitation systems have high practical value as there is no necessity for complex vibration control equipment -the stability of operation is guaranteed by non-linear dynamical interactions. Laser velocity measurement system was used for experimental investigations of the dynamical properties of the system. The results of the investigations validated the results of the theoretical analysis and provide a background for developing new type of dynamical mechanisms.