TECHNICAL ISOMORPHISM OF PHYSICAL INERTIAL OBJECTS AND ITS STRUCTURAL, OPERATIONAL AND MATHEMATICAL BASIS

Abstract

The article studies principles of usage of physical analogies of inertial objects. As an example, schematic diagrams of four inertial chains of different physical nature are given. The structural, operational and mathematical foundations of technical isomorphism are presented, the methods of which are designed to unify the analysis of inertial objects of various physical nature using their graphical and mathematical models reduced to uniform forms. Examples of the implementation of physical processes for two electrical circuits, a heating element of the equipment and a mechanical spring are given. For a more complete description of isomorphism, the characteristics of the fields for electrical and thermal circuits are considered. Differential equations for these circuits are presented. For a jump-like effect, the solution of the differential equation is given, which allows one to analyze these effects.