Formation of mathematical models of vibration interactions of elements of technical means of transport and technological purposes

Abstract

The scientific and methodological basis of system approaches to solving problems of the dynamics of technical objects is being developed. The technology of constructing structural mathematical models of vibration protection systems for various structural and technical purposes is proposed; a number of innovative technical proposals are presented. The theoretical basis of the proposed material is the methods of structural mathematical modeling, in which a mechanical oscillatory system is considered as a dynamically equivalent block diagram of an automatic control system. The methods of system analysis and the theory of automatic control are used. It is shown that a mechanical oscillatory system in its structural interpretation consists of an object, the dynamic state of which is estimated, and the implementation in the oscillatory circuit of negative feedbacks created using typical elementary links (elastic links and damping devices). It is shown that the number of typical links of a known nature can be expanded by introducing inertial links into the system. The possibilities of implementing such approaches based on the introduction of additional connections into the structure of a mechanical oscillatory system, which are the simplest mechanisms of various types (non-self-braking screw, lever, gear gears, etc.), are investigated. A technology for evaluating and changing the dynamic states of mechanical oscillatory systems by introducing mechanisms with different design and technical characteristics into the structure is proposed and developed. It is shown that vibration protection systems can be developed due to the concept of forming and building up the structure of additional connections, within which the known elementary typical elements can also be considered as special cases of more general ideas about the possibilities of feedback.