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ВИЗНАЧЕННЯ ЗВЕДЕНИХ ОБЕРТАЛЬНИХ МОМЕНТІВ РІВНЯНЬ ДИНАМІКИ ПРИСТРОЇВ ЗМІНИ ШВИДКОСТІ ЧЕРЕЗ ЗУБЧАСТІ ДИФЕРЕНЦІАЛИ З ЗАМКНУТИМИ ГІДРОСИСТЕМАМИ

DETERMINATION OF THE AGGREGATE TORQUES FOR THE EQUATIONS OF DYNAMICS OF SPEED CHANGE DEVICES INCLUDING GEAR DIFFERENTIALS WITH CLOSED-LOOP HYDRAULIC SYSTEMS

Сторінки: 118-123. Номер: №3, 2020 (285)
Автори:
О. Р. СТРІЛЕЦЬ1, В. О. МАЛАЩЕНКО2, В. М. СТРІЛЕЦЬ1
1Національний університет  водного господарства та природокористування, м. Рівне
2Національний університет «Львівська політехніка»
O. R. STRILETS1, V. О. Malashenko2, V. M. STRILETS1
1National University of Water And Environmental Engineering, Rivne
2 Lviv Polytechnic National University
DOI: https://www.doi.org/10.31891/2307-5732-2020-285-3-20
Рецензія/Peer review : 11.04.2020 р.
Надрукована/Printed : 04.06.2020 р.

Анотація мовою оригіналу

У статті наведена методика отримання аналітичних виразів для визначення зведених обертальних  моментів для пристроїв керування змінами швидкості з зубчастими диференціалами і замкнутими гідросистемами. Отримані аналітичні вирази відносяться до випадків, коли керування швидкістю може виконуватись через сонячне зубчасте колесо, або епіцикл, або водило в прямому і зворотному напрямках. Вирази для зведених обертальних моментів використовуються у рівняннях динаміки методом Лагранжа ІІ роду. Це дозволить розв’язати  отримане рівняння динаміки, проаналізувати з точки зору силових змін і обрати кращий варіант.
Ключові слова: зведений обертальний момент, пристрій для керування змінами швидкості, зубчастий диференціал, замкнута гідросистема, сонячне зубчасте колесо, епіцикл, водило, сателіт.

Розширена анотація англійською мовою

The aim of the research is to develop a method and obtain mathematical models for determining the aggregate torques of speed change devices that include gear differentials combined with closed-loop hydraulic systems. An analysis of recent scientific publications shows that insufficient attention has been paid to the dynamic processes that take place in new speed control devices with a gear differential using a closed-loop hydraulic system, which are developed at the level of patents. These issues of the dynamics of such devices are waiting to be resolved, especially in the direction of accumulating knowledge about the aggregate torques. To solve this problem, three schemes of speed control devices have been used, namely, when closed-loop hydraulic systems pumps are meshed either with sun gears, or carriers, or ring gears of the corresponding gear differential. The analytical dependencies between the torques and the angular velocities of the links through the gear ratios of the individual gearings of the gear differential and the drive of the closed-loop hydraulic system have been taken into consideration. Expressions for aggregate torques can be further applied in dynamics equations by the Lagrange method of the second kind, which will allow to solve those equations and analyze them in terms of force changes so to choose the best option among different schemes of gear differentials of speed change devices. The results have practical application at the stage of development and design of new speed change control devices and are the basis for further research of dynamic processes. It is recommended for implementation in design and engineering practice in the development of new speed change devices including gear differentials of drives of various equipment and in the educational process of higher technical educational institutions in the disciplines of mechanical engineering to study machine drives.
Key words: aggregate torque, speed change control device, gear differential, closed-loop hydraulic system, sun gear, ring gear, carrier.

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