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Kinematic calculation of eccentric mechanisms using the Mathcad software

https://doi.org/10.25206/1813-8225-2025-193-13-20

EDN: TMGHHV

Abstract

The article determines the value of the pusher stroke of the eccentric mechanism with the 4 to 6 mm eccentricity basing on graphic research. By approximating the graphs of the pusher stroke on the eccentric surface, the authors propose a calculation formula, which defines the pusher stroke as a function of the angle of the eccentric shaft rotation for practical purposes. Moreover, formulae for determining the velocity and acceleration of the eccentric mechanism pusher are offered. The relative error does not exceed 6 % in determining the pusher stroke by graphical and calculation methods. Calculations and graphs of path, velocity, acceleration of the eccentric mechanism pusher with eccentricity of 4, 5 and 6 mm at a shaft speed of 1000 min-1 are calculated and plotted using Mathcad software. The practical implementation of eccentric mechanisms for power supply systems of internal combustion engines is considered.

About the Authors

Yu. P. Makushev
Siberian State Automobile and Highway University
Russian Federation

MAKUSHEV Yuri Petrovich, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Automation and Power Engineering Department

AuthorID (RSCI): 650763

AuthorID (SCOPUS): 57210975800

Omsk



T. A. Polyakova
Siberian State Automobile and Highway University; Omsk State Technical University
Russian Federation

POLYAKOVA Tatiana Anatolyevna, Candidate of Pedagogical Sciences, Associate Professor, Associate Professor of the Physics and Mathematics Department;

Associate Professor of the Applied Mathematics and Fundamental Computer Science Department

AuthorID (RSCI): 652910

AuthorID (SCOPUS): 57287283100

Omsk



L. Yu. Volkova
Kaliningrad State Technical University
Russian Federation

VOLKOVA Larisa Yurievna, Candidate of Technical Sciences, Associate Professor of the Еnergy Industry Department

AuthorID (RSCI): 1013467

AuthorID (SCOPUS): 57210983249

Kaliningrad



V. V. Ryndin
Toraighyrov University
Kazakhstan

RYNDIN Vladimir Vitalievich, Candidate of Technical Sciences, Professor of the Mechanics, Oil and Gas Engineering Department

AuthorID (RSCI): 929600

AuthorID (SCOPUS): 7007057327

Pavlodar



References

1. Simionescu P., Talpasanu I. Kinematics of the eccentric RPRPR chain with applications to robotics, materials handling and manipulation. International Journal of Mechanisms and Robotic Systems. 2015. Vol. 2, no. 3–4. P. 314–340. DOI: 10.1504/IJMRS.2015.074109. (In Engl.).

2. Xie Li Jun. Kinematics and Dynamics Analysis of Eccentric Circle Cam Mechanism. Advanced Materials Research. Vol. 821–822. P. 1466–1469. DOI: 10.4028/www.scientific.net/amr.821-822.1466. (In Engl.).

3. Igumnov А., Metrikin V., Nikiforova I. The dynamics of eccentric vibration mechanism (Part 1). Journal of Vibroengineering. 2017. Vol. 19, no. 7. P. 4854–4865. DOI: 10.21595/jve.2017.18346. (In Engl.).

4. Ignatishchev R. M. Osnovnyye rezul’taty issledovaniy dlya geometricheskikh i kinematicheskikh raschetov sinusoekstsentrikovykh peredach [Main research results for geometric and kinematic calculations of sinusoexcentric gears]. Vestnik Belorussko-Rossiyskogo universiteta. Bulletin of the Belarusian-Russian University. 2010. No. 1 (26). P. 53–60. DOI: 10.53078/20778481_2010_1_53. EDN: OITKHB. (In Russ.).

5. Sil’chenko P. N., Timofeyev G. A., Mesnyankin M. V. et al. Nagruzochnaya sposobnost’ ekstsentrikovykh podshipnikov kacheniya [Load capacity of eccentric rolling bearings]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroyeniye. BMSTU Journal of Mechanical Engineering. 2020. No. 7 (724). P. 13–21. DOI: 10.18698/0536-1044-2020-7-13-21. EDN: LGPPLX. (In Russ.).

6. Selivonchik N. M., Nesterenko N. L. Silovoy raschet protivougonnogo kranovogo ustroystva iz ekstsentrikovogo i klinovogo mekhanizmov [Power calculation of anti-driveaway crane device from eccentric and wedge mechanisms]. Nauka i tekhnika. Science & Technique. 2023. Vol. 22, no. 2. P. 113–118. DOI: 10.21122/2227-1031-2023-22-2-113-118. (In Russ.).

7. Lustenkov M., Khalilov I., Moiseenko A. Comparative Analysis of Dynamic Characteristics of Spherical and Eccentric Transmissions with a Double-Ring Satellite. Advances in Science and Technology. 2024. Vol. 148. P. 103–110. DOI: 10.4028/p-msjjs7.(In Engl.).

8. Strelkov A. R., Tsabilev O. V., Gridneva M. A. Vibratory Shear Enhanced Process Membrane Filtering Technology to Overcome the Negative Effects of Concentration Polarization. Materials Science Forum. 2023. Vol. 1088. P. 95–101. DOI: 10.4028/p-e4fh01. (In Engl.).

9. Artobolevskiy I. I. Teoriya mekhanizmov i mashin [Theory of mechanisms and machines]. Moscow, 1988. 640 p. (In Russ.).

10. Makushev Yu. P., Polyakova T. A., Batrakov P. A. Opredeleniye skorosti i uskoreniya porshnya s pomoshch’yu proizvodnykh [Determination of piston velocity and acceleration using derivatives]. Vestnik Sibirskoy gosudarstvennoy avtomobil’no-dorozhnoy akademii. The Russian Automobile and Highway Industry Journal. 2010. No. 3 (17). P. 9–14. EDN: PBLZVL. (In Russ.).

11. Makushev Yu. P., Polyakova T. A., Ryndin V. V. [et al.]. Integral’noye i differentsial’noye ischisleniya v prilozhenii k tekhnike: monograph. [Integral and differential calculus in application to technology]. Pavlodar, 2013. 330 p. ISBN 978-601-238-300-3. (In Russ.).

12. Makarov E. G. Inzhenernyye raschety v Mathcad 15. [Engineering calculations in Mathcad 15]. Saint Petersburg, 2011. 400 p. (In Russ.).

13. Ryndin V. V., Volkova L. Yu. Primeneniye sistemy Mathcad pri statisticheskom analize eksperimental’nykh dannykh [Application of the Mathcad system in the statistical analysis of experimental data]. Nauka i tekhnika Kazakhstana. Science and Technology of Kazakhstan. 2018. No. 4. P. 6–17. (In Russ.).

14. Faynleyb B. N. Toplivnaya apparatura avtotraktornykh dizeley: spravochnik. [Fuel equipment of automotive diesel engines]. Leningrad, 1990. 352 p. (In Russ.).


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For citations:


Makushev Yu.P., Polyakova T.A., Volkova L.Yu., Ryndin V.V. Kinematic calculation of eccentric mechanisms using the Mathcad software. Omsk Scientific Bulletin. 2025;(1):13-20. (In Russ.) https://doi.org/10.25206/1813-8225-2025-193-13-20. EDN: TMGHHV

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ISSN 1813-8225 (Print)
ISSN 2541-7541 (Online)