MATHEMATICAL MODEL AND OPTIMIZATION OF PARAMETERS OF AND PNEUMATIC ROTARY PISTON ENGINE
Abstract
A special role in the organization of modern production is played by the use of small-scale mechanization, in particular manual mechanized tools that allow to significantly increase productivity, reduce the need for labor and improve working con- ditions. Pneumatic engines have become the most widely used drive in such tools, which is explained by the high level of their operational safety and reliability. At the same time, the most common rotary vane engines have certain disadvantages: low effi- ciency, rapid wear of working blades, which leads to an increase in inefficient consumption of compressed air and a reduction in service life. There are also problems with increased noise levels, high air consumption and excessive vibration exceeding sanitary standards. To solve these problems, a fundamentally new pneumatic rotary-piston engine has been proposed, the design of which does not have blades separating the working chambers, which ensures an increase in the efficiency of its technical and economic characteristics and a reduction in noise and vibrations. Accordingly, the development of methods for calculating and optimizing the parameters of such an engine is of great importance. This paper presents a mathematical model of the functioning of a pneumatic rotary-piston engine and the results of opti- mizing its technical characteristics based on gas-dynamic calculations. According to the results of the optimization of the engine torque, it was established that to ensure smooth rotation of its shaft, it is necessary to use designs with three working chambers offset along the circumference by 2/3π. Calculations of the main parameters and their optimization are carried out for the given dimensions, power and speed of the pneumatic engine. The relevance of the topic of the presented research is due to the growing need for cost-effective and environmentally friendly technical solutions in mechanical engineering and other areas of industry, since reducing energy consumption and increasing the efficiency of production processes are priority tasks of modern technology.
References
2. Барсов В. І., Краснобаєв В. А., Барсова З. В. Математичні методи та технічні засоби АСУ : підруч. для студентів вищ. навч. закл. Укр. інж.-пед. акад. Харків: Точка, 2012. 302 с.
3. Fang, Y., Lu, Y., Yu, X., Roskilly, A.B. Experimental study of a pneumatic engine with heat supply to improve the overall performance. Applied Thermal Engineering. 2018. V. 134. P.78-85. Doi: 10.1016/i. applthermaleng.2018.01.113.
4. Saidur R., Rahim N. A., Hasanuzzaman M. A review on compressed-air energy use and energy savings. Renewable and Sustainable Energy Reviews. 2010. № 14. Р. 1135–1153.
5. Chong L., Dewen K., Maolin C. Research on Energy-Saving Operation of Screw Air Compressor. Research Journal of Applied Sciences, Engineering and Technology. 2013. № 6 (2). Р.325–333.
6. Mousavi S., Kara S., Kornfeld B. Energy Efficiency of Compressed Air Systems. 21st CIRP Conference on Life Cycle Engineering. Procedia CIRP. 2014. № 15. Р.313–318.
7. Прокопов М. Г., Ванєєв С. М., Козін В. М., Мерзляков Ю. С. Конструкції елементів пневмоагрегатів: навч. посіб. Сумський державний університет. Суми: 2020. 146 с.
8. Zinko R., Kramskyi O., Mokriak B., & Polyakov A. Research on the operational characteristics of a pneumatic automotive engine. Journal of Mechanical Engineering and Transport. 2024. V. 10(2). P.48-53. Doi: 10.63341/vjmet/2.2024.48.
9. Leontiev D., Voronkov O., Korohodskyi V., Hlushkova D., Nikitchenko I., Teslenko E., Lykhodii O. Mathematical Modelling of Operating Processes in the Pneumatic Engine of the Car. SAE Technical Paper 2020-01-2222, 2020. ISSN: 0148-7191. DOI: 10.4271/2020-01-2222
10. Касьян А. В., Галецький О. С. Розробка математичної моделі пневматичного позиційного приводу. Вісник ХНТУ. 2025. № 1(92). С. 79–88. Doi: 10.35546/kntu2078-4481.2025.1.1.10
11. Петриченко С. В., Паляничка Н. О., Тарасенко В. Г. Монтажні інструменти і пристосування: навч. посіб. ТДАТУ, 2021. URL: https://elib.tsatu.edu.ua/dep/mtf/ophv_35/page25.html.

This work is licensed under a Creative Commons Attribution 4.0 International License.
ISSN 



