Abstract

In order to reduce the amplitude of a vibrating system excited by an external force, a magnetic dynamic absorber can be utilized. The system with the magnetic dynamic absorber has non-linear characteristics. Generally for the non-linear system there exist two steady solutions which are locally stable in a certain interval of the excited frequency. Which of the steady solutions is realized in the system can be determined by the help of a certain disturbance in the initial conditions. By using a phase plane this subject above mentioned, has been investigated by Ch.Hayashi and A.Tondl. In this paper, concerning the system with a damped magnetic dynamic absorber excited by an external periodic force, the regions and probabilities of occurrence of disturbances in initial conditions which realize steady solutions of the system were calculated and solved by Tondl's method by means of the digital computer.

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