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The thesis refers to the previous researches of the authors of the dynamics of rigid rotor placed on favourable ground. Such systems are characterized by usually low frequency of normal mode vibrations which causes real danger that they can work in the resonant region or cross this region every time during acceleration or start. The amplitude of rotor's vibrations with small internal damping reaches then high values. The factor of damping for the system with small mass may be defined on the basis of the character of its response to pulse extortion. The way how to determine the value of rotor's damping useful for the numerical analysis of its vibration was presented. The thesis presents also the results of the researches of the effectiveness of disk balance with circum-resonant speed in the situations when only unbalanced force affects the rotor and when vibrations of the foundation are caused by the external resonant induction.
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