DEVELOPMENT OF FORMS OF STRUCTURAL MATHEMATICAL MODELING IN DYNAMICS OF MECHANICAL OSCILLATION SYSTEMS: IMPEDANCE AND POSSIBLE VARIANTS OF APPROACH

Abstract

Offering method of transformation of mathematical models of oscillation systems based on using of structural schemes. Structural analogs of mathematical models used for creature of variants of transfer functions of initial mechanical systems. Technology of transformation of structural schemes with object which has properties of integrated link of second order. Is shown that impedance is local characteristic of frequence dynamical properties of mechanical oscillation systems, in particular, vibration protection systems. Characteristics-analogs of impedance are given. They constructed on base using of movements and accelerations of allocated points. Conditions of ties of relative frequence characteristics are given. Conditions of compatibility of structural models of mechanical chains theory and automation control theory are identified.

Keywords

• impedance
• structural scheme
• structural mathematical model
• transfer function
• structural transformations