Control of Oscillation Process in Vibration Protection Systems with Mechanical Energy Recuperator

The article presents the results of studies of basic models of vibration protection systems with recuperators of mechanical energy, as periodically recharged energy sources. The process of recovering potential energy or kinetic energy is carried out by alternating two combinations of the opposite connections of the elastic element or inertial link between the object and the moving base. The optimal synthesizing control functions of a singular type are found that allow to provide the best vibration safety indicators in accordance with the accepted quality criterion. It was established that resonance phenomena do not appear in these systems: the values of the dynamic coefficients are less than unity and monotonically decrease with increasing frequency of the kinematic perturbation. Moreover, in the high-frequency region, the values of the dynamic coefficients are less than the limiting values of the dynamic coefficients of a linear system without damping.