Determining performance efficiency of the differential in a device for speed change through epicycle

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.110683

Keywords:

performance efficiency, toothed differential, change in speed, satellite, epicycle

Abstract

We determined coefficient of performance efficiency for the multistage toothed differentials in a device for speed change when the drive link is a sun cogwheel of the first stage, the driven link is a carrier, or vice versa, with the epicycles of separate stages as control links.

Analytical dependences for determining performance efficiency of the multistage toothed differentials were derived using a method of potential power, which is the product of circular force on teeth and circular velocity of the point of initial circle of the satellite relative to the carrier, or the product of torque of a given force by angular velocity. Given the complexity of the task, we performed here a theoretical-computer study into performance efficiency of multistage toothed differentials in the devices for speed change with hydraulic systems using two- and three-stage transmissions as examples. By using a given procedure, it is possible to determine performance efficiency of the four- and multistage transmissions.

We constructed graphical dependences for performance efficiency of two- and three-stage transmissions. These charts enable visual tracking of change in the value of performance efficiency depending on angular velocity of the epicycle, transfer ratio, and the number of stages.

It was established that for the two- and three-stage toothed differentials the condition of automatic braking is not applicable because performance efficiency is far greater than zero. In all cases, an increase in the number of stages in toothed differential results in the decrease of performance efficiency, which confirms general patterns.

The results obtained might have practical application at the stage of development and design of new devices for speed control, they make it possible to estimate operation of multi-stage toothed differentials in terms of energy consumption and automatic braking, thereby creating a basis for further research

Author Biographies

Volodymyr Mаlashchenkо, Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79013

Doctor of Technical Sciences, Professor, Head of Departament

Departament of Technical Mechanics and Machine Dynamics

Оleh Strilets, National University of Water and Environmental Engineering Soborna str., 11, Rivne, Ukraine, 33028

PhD

Department of Analytical Dynamics, Engineering Graphics and Mechanical Engineering

Volodymyr Strilets, National University of Water and Environmental Engineering Soborna str., 11, Rivne, Ukraine, 33028

PhD, Associate Professor

Departament of Analytical Dynamics, Engineering Graphics and Mechanical Engineering

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Published

2017-12-11

How to Cite

Mаlashchenkо V., Strilets О., & Strilets, V. (2017). Determining performance efficiency of the differential in a device for speed change through epicycle. Eastern-European Journal of Enterprise Technologies, 6(7 (90), 51–57. https://doi.org/10.15587/1729-4061.2017.110683

Issue

Vol. 6 No. 7 (90) (2017): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2017 Volodymyr Mаlashchenkо, Оleh Strilets, Volodymyr Strilets

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