The Model of a Technical System Operation at a Certain Time Interval

Abstract

In the theoretical study, attention is drawn to the fact that a significant increase in the level of reliability of technical systems cannot be obtained by separate isolated measures. Solving problems combined into a system increases the efficiency of resolving individual problems. Also, this integration makes it possible to obtain qualitatively new theoretical and practical results. In the publication, mathematical modeling of the reliability of technical systems is considered as an approximation of the characteristics of their reliability by the known theoretical divisions. The article highlights some approaches to identifying the main patterns of failure of structurally complex technical systems. A geometric model of the probability of failure-free operation of a technical system for a certain period of time is proposed. The publication compares the time of the probability of failure-free functioning of technical systems with various forms of their structures. Examples of analytical description of the probability of failure-free functioning and graphical representation of some redundant structures are given. A comparative analysis of the probability of failure-free functioning of the structures of a number of technical systems among themselves and the reliability of the elements that make up the structure is carried out. The significant influence of the form of structures of technical systems on the time of their trouble-free operation is clearly shown. As a result, the possibility of predicting the period of operation of structurally complex technical systems to their failure is shown. The proposed model makes it possible to predict the reliability of the functioning of technical systems, depending on the duration of the cycle of solving functional problems.