Devices for the transformation of motion in the structure of oscillatory system: dynamic damping of oscillations

Abstract

Dynamic properties of technical object with two degrees of freedom in the regimes of dynamic damping of oscillations are considered. Technologies of constructing transfer functions and determining conditions for dynamic damping of oscillations are offered. The purpose of the work is to develop a method for constructing mathematical models for estimating the dynamic properties, determining conditions for realizing the dynamic effects of “nullifying” motions on individual coordinates under the simultaneous action of several harmonic perturbations. Methods of structural mathematical modeling are used. The scientific novelty of the work is to evaluate the possibilities of applying devices for the transformation of motion (DTM) in the structures of mechanical oscillatory systems. The technology of transition from transfer functions of systems to the equations for estimating frequencies of dynamic damping of oscillations is developed. Method of constructing frequency diagrams for finding the required frequency of dynamic damping of oscillations is developed. It is shown that the system has the potential to implement different regimes of dynamic damping of oscillation.