Dynamic modes of a vibration isolation system

To specify the optimal dimensions of the vibration isolation device that meet the requirements, it is necessary to determine the dynamic modes of the device. In this paper, perturbation techniques are used to solve the formulated problem and evaluate the device efficiency. When using dynamic vibration dampers, the vibrations are suppressed by the damper springs. The increase in their stiffness is determined by the forces arising during the additional mass motion. The dynamic characteristics of the considered system with a vibration damper are calculated using the Simulink modeling tool. It is revealed that the frequencies of free vibrations in the “basic mass – dynamic damper” system are determined by two parameters, namely, the mass ratio of the dynamic damper and main structure, as well as the damper settings. The obtained free vibration frequencies of the system are located almost symmetrically relative to the natural free vibration frequency of the main structure. Variation in the tuning frequency induces symmetry breaking.