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The new dynamic effects, arising in problems of vibration protection of objects at external perturbations from the bearing surfaces, are considered.A method of constructing mathematical models for the vibration-protection system, in which protection of an object has two degrees of freedom, is developed. The possibilities of the introduction of additional ties in the form of devices for converting the movement are shown. The possibilities of using screw non self-locking mechanisms with nuts - flywheels, reduced moment of inertia may be regulated are estimated. The technique of constructing frequency chart, showing the possible forms of realization of the dynamic effects, is offered. The conditions of the realization of new physical effects in the form of simultaneous dynamic vibration damping of the solid at the same time by two coordinates at the kinematic system perturbation are determined. Results of numerical modeling are given.