Abstract

The article considers the formation of a mathematical model for changing the technical state of a mechanical system using the Theory of Catastrophes. During the operation of the mechanical system, failures gradually accumulate, causing a decrease in working capacity and machine failure. The Theory of Catastrophes allows developing models for changing the technical condition of a mechanical system for various operating modes and operating conditions. In the field of the space of technical states of a mechanical system containing critical features, the coordinates of the point of the limiting state and possible failure of the part are determined.

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