Dynamic elastic and damping models development and research for technical objects vibration safety providing

This article considers single-mass elastic-damper model of oscillating system; simplified classic versions with pendants in the form of rheological models of Poynting-Thomson, Kelvin, Maxwell, Hooke can be derived from this model. The difference between this model and other classic versions is that the components of researched model suspension system are based on different foundations; one of foundations can be vibro-active. Model has two modifications, the difference between these modifications is that in one case elastic part of suspension system is based on vibro potentially active foundation and in other case elastic – damper part of suspension system is based on vibro potentially active foundation. The article also contains mathematical models of these modifications with allowance for damping of nonlinear type. Dynamical functions of variation are researched. In this variation vibrations can be transmitted from foundation to protected mass through elastic component. Article shows the cases of force and kinematic vibro-loading of mass with appliance of frequency functions on absolute and relative parameters. Dynamics of researched model is identical to dynamics of classic model in case of force vibro-loading of researched model. New properties (two invariant points) appear on amplitudefrequency characteristic of relative parameter in case of kinematic vibro-loading. This fact is used for optimization of damping level in order to minimize the resonance amplitude. The range of low-frequency vibration isolation is not less than the range of conservative oscillating system. Its size depends on damping and stiffness of elastic elements, so the choice of these values is associated with the achievement of compromise between
limitation of the range of resonance oscillations and providing of the low-frequency vibration isolation of the required quality.