Impedance approaches as an estimation form for dynamical properties of mechanical oscillation systems in structural mathematical modelling
Method, based on structural schemes, has been proposed to transform mathematical models of oscillation systems. Structural analogs of mathematical models have been used to construct variants of transfer functions for initial mechanical systems. Technology has been offered to transform structural schemes with an object which has the properties with integrated link of the second order. It has been shown that the impedance is a local characteristic for frequency-dynamic properties of mechanical oscillation systems, vibration protection systems, in particular. The concept of impedance is associated with estimation technologies for dynamic properties of mechanical systems, in which the point is selected to apply the input action in the form of the force with the respective speed measurement of a baricentric element. Characteristics have been received which are analogs of impedance constructed on the basis of using movements and accelerations of the points. Conditions have been received for mutual ties of frequency characteristics. Compatibility conditions have been identified for structural models of mechanical chain theory and automation control theory. Generalized approach has been developed for the selection of transfer forms obtained from structural schemes with capabilities to display dynamic properties of systems.