MATHEMATICAL MODELING OF ENERGOMECHANICAL SYSTEMS FOR THE PURPOSE OF DETERMINING THEIR TECHNICAL STATE 

Alexander M. Pankin, Doctor of technical sciences, associate professor, professor of Higher School of Nuclear and Thermal Power Engineering, Peter the Great Saint Petersburg Polytechnic University (29 Polytechnicheskaya street, St. Petersburg, Russia), E-mail: alpank@niti.ru
Aleksandr A. Kalyutik, Candidate of technical sciences, director of the Higher School of Nuclear and Thermal Power Engineering, Peter the Great Saint Petersburg Polytechnic University (29 Polytechnicheskaya street, St. Petersburg, Russia), E-mail: Kalyutik@yandex.ru
Dmitriy V. Lyalyuev, Department head, A. P. Alexandrov Research Institute of Technology (72 Kaporskoe highway, Sosnovy Bor, Leningrad region, Russia), E-mail: ldv@niti.ru 

681.518.3 

10.21685/2307-4205-2021-4-5 

Background. The article discusses the construction of mathematical models of controlled objects based on the fundamental laws of classical mechanics for solving the main problem of technical diagnostics – determining the technical condition. Materials and methods. A diagnostic model is built on the basis of a mathematical model. This approach leads to the definition of the working functions of the object and the receipt of criteria for assessing the performance required determining the residual resource. The concept of a diagnostic feature of an object to be identified in the process of diagnostics is clarified. Results and conclusions. In this article, consideration of the issues of technical diagnostics is limited to objects of a mechanical nature. 

mathematical model, diagnostic model, technical object, technical condition, physical laws, motion, speed, force, impulse of force, work, energy, diagnostics, working function, diagnostic feature