ОСНОВНІ ПІДХОДИ ОПТИМІЗАЦІЇ МАС ЗУБЧАСТИХ КОЛІС МЕХАНІЧНОЇ ПЕРЕДАЧІ
Journal Title: Математичне моделювання - Year 2018, Vol 1, Issue 1
Abstract
THE MAIN APPROACHES TO OPTIMIZING THE MASSES OF MECHANICAL TRANSMISSIONS’ GEARS Romaniuk O.D. Abstract The problem of stabilizing the kinematic and dynamic characteristics of a machine unit in the steady-state motion regime is usually realized by increasing the reduced moment of inertia. To do this, will be used the additional masses, the flywheels, which, unfortunately, increase the acceleration time and the mass of the machine. Elimination of the corresponding disadvantages of additional masses can be realized by changing the approach to the design of mechanical transmissions’ gears. In this work was made a deep analysis of the dependence of the main geometric parameters of the mechanical transmission. It was made with the aim of influencing the optimization process at the stage of preliminary design of the mass of the gear wheel, which corresponds to the flywheel moment of the flywheel. The corresponding analysis was conducted according to the equations for determining the mass of the gears, taking into account their basic geometric parameters. As a result, were obtained the graphical dependences of the gear wheel mass on the mass ratio. These dependencies make it possible to optimize the main geometric parameters of the gears at the preliminary design stage. Accordingly, it is possible to reach the necessary value of their mass, the moment of inertia of which would correspond to the flywheel moment of the flywheel in the machine's executive body. The use of the proposed approach in the design will allow to select the corresponding masses of gears, the moments of inertia of which correspond to the flywheel moment of the flywheel, which is necessary for stabilization of the dynamic characteristics of the machine's executive body. Considering the fact that the rotational mass of the mechanical transmission in the drive circuit consists not only from the gear wheel, but from the mass of the shaft and bearings, further research can be aimed at expanding the mathematical model. The purposefulness of further research is due to the fact that the mass of the shaft and bearings in the gears that transmit significant torque is almost equal to the mass of the gear wheel. References [1] Gemintern V.N., Kogan B.M. Metody optimal'nogo proektirovanija.[Methods of optimal design] Moscow, 1980. 160 p. [2] Sobol I.M., Statnikov R.B. Vybor optimal'nyh parametrov v zadachah so mnogimi kriterijami [Choosing the optimal parameters in problems with many criteria] Moscow, 2006. 175 p. [3] J. Genta. Nakopiteli kineticheskoj energii. Teorija i praktika sovremennyh mahovichnyh system [Aggregators kinetic energy here. Theory and practice of advanced flywheel systems] Moscow, 1988. 430 p. [4] Romaniuk A.D. [Method of multicriteria optimization of gears parameters] Sbornik nauchnyh trudov Kerchenskogo gosudarstvennogo morskogo tehnologicheskogo universiteta "Mehanizacija proizvodstvennyh processov rybnogo hozjajstva, promyshlennyh i agrarnyh predprijatij. Mehanika tverdogo tela." [Collection of scientific works of the Kerch State Maritime Technological University "Mechanization of production processes in the fishing industry, industrial and agrarian enterprises. Mechanics of a solid body "], 2010, Issue 11, pp. 81-85. (In Russian) [5] Romaniuk A.D. [Determination of the minimum time for the acceleration of the machine assembly] Sbornik nauchnyh trudov Kerchenskogo gosudarstvennogo morskogo tehnologicheskogo universiteta i Dneprodzerzhinskogo gosudarstvennogo tehnicheskogo universiteta "Mehanizacija proizvodstvennyh processov rybnogo hozjajstva, promyshlennyh i agrarnyh predprijatij. Mehanika tverdogo tela." [Collection of scientific works of Kerch State Maritime Technological University and Dneprodzerzhinsk State Technical University "Mechanization of production processes of fish industry, industrial and agrarian enterprises. Mechanics of a solid body "], 2012, Issue 13, pp. 144-146. (In Russian) [6] Romaniuk A.D. [Synthesis of the transfer mechanism optimal by the criterion of dynamism] Sbornik nauchnyh trudov Dneprodzerzhinskogo gosudarstvennogo tehnicheskogo universiteta i Kerchenskogo gosudarstvennogo morskogo tehnologicheskogo universiteta "Mehanika tverdogo tela Mehanizacija proizvodstvennyh processov rybnogo hozjajstva, promyshlennyh i agrarnyh predprijatij" [Collection of scientific works of the Dneprodzerzhinsk State Technical University and the Kerch State Marine Technological University "Mechanics of the solid body. Mechanization of production processes in the fishing industry, industrial and agricultural enterprises. "], 2013, Issue 14, pp.20-23. (In Russian) [7] Romaniuk A.D. [Basic approaches to solving the synthesis transmission’s problems of the mechanisms based on optimization of its characteristics] Sbornik nauchnyh trudov Dneprodzerzhinskogo gosudarstvennogo tehnicheskogo universiteta i Kerchenskogo gosudarstvennogo morskogo tehnologicheskogo universiteta "Mehanika tverdogo tela Mehanizacija proizvodstvennyh processov rybnogo hozjajstva, promyshlennyh i agrarnyh predprijatij" [Collection of scientific works of the Dneprodzerzhinsk State Technical University and the Kerch State Marine Technological University "Mechanics of the solid body. Mechanization of production processes in the fishing industry, industrial and agricultural enterprises. "], 2013, Issue 14, pp.24-26. (In Russian) [8] Romaniuk A.D., Mamaev L.M., Kabakov A.M., Telepko L.P. [Optimization of the transfer functions of the mechanism] Materialy XII Mezhdunarodnoj nauchno-prakticheskoj konferencii "Aktual'nye nauchnye dostizhenija - 2016" Tom 11. Tehnicheskie nauki [Materials of the XII international scientific and practical conference "Actual scientific achievements - 2016"], Volume 11, Engineering, Praha, 2016. pp.14-17. (In Russian) [9] Romaniuk O.D. Vybir mahovyh mas lanok peredatochnyh mehanizmiv na osnovi optymizacii' peredatochnoi' funkcii' [The choice of wing parts by weight of gear mechanisms based on optimizing the transfer function]. Mathematical modeling, 2015, no. 2(33), pp. 52–54. (in Ukrainian) [10] Romaniuk O.D. Optymizacija mas zubchastyh kolis mehanichnoi' peredachi na etapi poperedn'ogo proektuvannja [Optimization of the masses of gears mechanical transmission during the preliminary design]. Mathematical modeling, 2016, no. 2(35), pp. 35–38. (in Ukrainian)
Authors and Affiliations
О. Д. Романюк
Keywords
Related Articles
- EP ID EP297119
- DOI 10.31319/2519-8106.1(38)2018.129038
- Views 56
- Downloads 0
Моделювання підходів подрібнення різнотипів руд конкретного родовища у кульових млинах замкненого циклу
MODELING OF THE APPROACHES OF MILLING THE DIFFERENT TYPES OF ORES SPECIFIC FIELD IN A BALL MILL CLOSED CYCLE Matsui A.N., Kondratets V.A. Abstract Taking into account that the non-optimal variant of grinding different...
ЕФЕКТИВНИЙ МЕТОД ОПТИМІЗАЦІЇ В ЗАДАЧАХ ЛІНІЙНОГО РОЗКРОЮ МАТЕРІАЛІВ
EFFECTIVE METHOD OF OPTIMIZATION IN A LINEAR MATERIAL CUTTING Kosolap A.I., Kodola G.M. Abstract In this paper the problem of one-dimensional cutting is considered, which has practical application, for example, on the m...
МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ПРОЦЕСУ РОЗСІЮВАННЯ ВИКИДІВ ВІД ПОСТІЙНО ДІЮЧОГО СТАЦІОНАРНОГО ДЖЕРЕЛА ЗАБРУДНЕННЯ
MATHEMATICAL MODELING OF DISPERSION PROCESS OF EMISSIONS FROM CONSTANTLY OPERATING STATIONARY SOURCE OF POLLUTION Biliaiev M.М., Rusakova T.I. Abstract The processes of extraction and processing of ironstone are accompa...
Дослідження надійності функціонування апаратури гемодіалізного лікування
RESEARCH OF THE WORK RELIABILITY OF HEMODIALYSIS TREATMENT EQUIPMENT Meshchaninov S.K., Dovgalyuk B.P., Kupratsevych P.S., Prokopenko A.Y., Ivanov A.V. Abstract Reliability is particularly important while using of medic...
ОБҐРУНТУВАННЯ ВИБОРУ ЧИСЕЛЬНОГО МЕТОДУ ДЛЯ ВИРІШЕННЯ ЗАВДАННЯ ПЛАВЛЕННЯ, КОМБІНОВАНОГО АЛЮМОВМІСЬКОГО РОЗКИСЛЮВАЧА ЦИЛІНДРИЧНОЇ ФОРМИ, З ОБВАЖНЮВАЧЕМ, В ЗАХИСНІЙ ОБОЛОНЦІ
THE JUSTIFICATION FOR SELECTION OF NUMERICAL METHOD FOR MELTING PROBLEM SOLUTION OF WEIGHTED COMBINED ALUMINUM-CONTAINING DEOXIDIZER OF CYLINDRICAL FORM IN PROTECTIVE SHELL Babenko M.V., Voloshin R.V., Krivosheev G.A. A...