ABSTRACT
One of the ways to ensure the reliability of technical systems during operation is to constantly monitor their technical condition. Such control is carried out in various ways, the most effective of which are methods that do not require equipment downtime and decommissioning. These methods include vibroacoustic control, in particular, the method of spectral analysis of vibroacoustic signals. The relevance of this study lies in the mathematical substantiation of the patterns of change in the vibration characteristics of the diagnosed rotating mechanisms based on the state of their specific elements. These patterns make it possible to formulate the rules for fault detection of both individual elements and mechanisms in general when using the method of spectral analysis of vibroacoustic signals excited during their operation. The aim of the study is to develop a mathematical method for obtaining diagnostic information about the nature of changes in the oscillatory processes of the considered rotating mechanism based on the state of its elements. The method provides for the development of a dynamic model of the mechanism based on the Lagrange equations of the second kind and describing the dynamics of oscillatory processes. The result of applying the method is a set of diagnostic patterns of changes in the oscillatory processes of a rotating mechanism based on the state of its elements, the use of which ensures the solution of the main problems of technical diagnostics of the considered rotating mechanism. Key conclusions: the described method makes it possible to develop rules for fault detection of a diagnosed mechanism and draw a conclusion about its state without downtime or decommissioning using the method of spectral analysis.
