Andrey R. Korabelnikov
Kostroma State University
Svеtlana V. Bukina
Kostroma State University
Kirill E. Shiryaev
Kostroma State University
Korabelnikov A. R., Bukina S. V., Shiryaev K. E. Numerical integration of the equation of motion of a machine unit in steady condition. Technologies & Quality. 2023. No 4(62). P. 17–23. (In Russ.) https: doi 10.34216/2587-6147-2023-4-62-17-23.
DOI: 10.34216/2587-6147-2023-4-62-17-23
УДК: 62-5
Publish date: 2023-11-22
Annotation: In this article, an attempt is made to consider the question of integrating the equation of motion of a machine unit in a general form. The conclusion of analytical dependencies characterising the mechanics of the steady motion of the machine unit is given. The numerical integration of the differential equation of motion uses the method of successive approximations. When determining the operation of the moment of the resistance forces, integration was carried out for two cases – as a function of the generalised coordinate and angular velocity, as well as from the generalised coordinate and time. The equation of the mechanical characteristics of the electric motor of the studied interval and the kinetic energy values of the reduction link with the accuracy of the second order of smallness is determined. By consistently specifying the value of the angular velocity, it can be calculated with any required degree of accuracy, which will allow more accurately calculating the details and components of the lever mechanism for vibration resistance and reducing the in-tensity of the technological process.
Keywords: equation of motion, machine unit, steady motion, integration of differential equation, generalised coordinate, angular velocity, electric motor’s mechanical characteristics
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Author's info: Andrey R. Korabelnikov, Kostroma State University, Kostroma, prostokar@yandex.ru, https://orcid.org/0000-0002-4546-7515
Co-author's info: Svеtlana V. Bukina, Kostroma State University, Kostroma, tmmbukina@yandex.ru, https://orcid.org/0000-0002-2137-7304
Co-author's info: Kirill E. Shiryaev, Kostroma State University, Kostroma, shiryaev4@yandex.ru, https://orcid.org/0000-0002-5495-6820