Smart Search 



Title of the article METHOD AND SOFTWARE IMPLEMENTATION OF KINEMATIC ANALYSIS OF A ROCKER MECHANISM
Authors

KOTOV Andrey V., M. Sc. in Eng., Leading Design Engineer, JSC “Seismotekhnika”, Gomel, Republic of Belarus; Postgraduate Student of the Department “Mechanics”, Sukhoi State Technical University of Gomel, Gomel, Republic of Belarus; This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

KROL Dmitriy G., Ph. D. in Phys. And Math., Assoc. Prof., First Vice-Rector, Sukhoi State Technical University of Gomel, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section COMPUTER MECHANICS
Year 2025
Issue 4(73)
Pages 25–30
Type of article RAR
Index UDK 621.01 + 631.354
DOI https://doi.org/10.46864/1995-0470-2025-4-73-25-30
Abstract An analytical method of kinematic analysis of the rocker mechanism of the reaping part of a grain harvester using the theory of complex numbers, as well as an algorithm and its software implementation are presented. The use of complex numbers in the kinematic analysis of lever mechanisms makes it possible to optimize mathematical calculations by performing only elementary operations of addition (subtraction) and multiplication of complex numbers. An example of graphical visualization of the results of kinematic analysis in the mathematical package PTC MathCAD is given. The proposed method of kinematic analysis of plain lever mechanisms using the theory of complex numbers can find its effective application in relevant engineering and scientific calculations.
Keywords rocker mechanism, reaping part, kinematic analysis, complex numbers, coordinate transformation method, algorithm
  You can access full text version of the article.
Bibliography
  1. Truflyak E.V., Trubilin E.I. Sovremennye zernouborochnye kombayny [Modern combine harvesters]. Saint Petersburg, Lan Publ., 2023. 320 p. (in Russ.).
  2. Miu P. Combine harvesters: theory, modeling, and design. Boca Raton, CRC Press, 2015. 482 р. DOI: https://doi.org/10.1201/b18852.
  3. Kotov A.V. Optimizatsiya parametrov predokhranitelnogo elementa palchikovogo mekhanizma shneka zhatki zernouborochnogo kombayna [The optimization of parameters of a safety element of the finger mechanism of the header auger of a combine harvester]. Tractors and agricultural machinery, 2023, vol. 90, no. 1, pp. 13–24. DOI: https://doi.org/10.17816/0321-4443-114970 (in Russ.).
  4. Kutsepolenko A.V. Geometricheskiy analiz sharnirnogo mekhanizma tsentrobezhnogo ogranichitelya skorosti lifta s dvumya vykhodnymi zvenyami [Geometrical analysis of the hinge mechanism of a centrifugal lift speed limiter with two output links]. Mechanics of machines, mechanisms and materials, 2024, no. 4(69), pp. 61–69. DOI: https://doi.org/10.46864/1995-0470-2024-4-69-61-69 (in Russ.).
  5. Antonescu O., Antonescu D., Ionita A Kinematic analysis of the windshield wiper mechanism with two parallel rocker blades. IOP conference series: materials science and engineering, 2024, vol. 1303. DOI: https://doi.org/10.1088/1757-899x/1303/1/012041.
  6. Dubovik D.A., Pribyl’skii V.I., Novikov A.A., Vyrskii A.N. Kinematicheskiy i silovoy analiz mekhanizma privoda dvukhstannoy ochistki zernouborochnogo kombayna [Kinematic and power analysis of a two-cleaner shoe drive system of a grain harvester]. Problemy mashinostroeniya i nadezhnosti mashin, 2019, no. 6, pp. 78–90. DOI: https://doi.org/10.1134/S023571191906004X (in Russ.).
  7. Kotov A.V., Krol D.G. Kinematicheskiy i silovoy analiz mekhanizma podema naklonnoy kamery zernouborochnogo kombayna s primeneniem teorii kompleksnykh chisel [Kinematic and force analysis of the inclined chamber lift mechanism of a combine harvester using complex numbers theory]. Konstruirovanie, ispolzovanie i nadezhnost mashin selskokhozyaystvennogo naznacheniya, 2025, no. 1(24), pp. 40–48 (in Russ.).
  8. Abhary K. A unified analytical parametric method for kinematic analysis of planar mechanisms. International journal of mechanical engineering education, 2022, vol. 50, iss. 2, pp. 389–431. DOI: https://doi.org/10.1177/0306419020978175.
  9. Smirnov D.A. Kinematicheskiy analiz kulisnogo mekhanizma s odnoy stepenyu svobody s nepodvizhnymi vrashchatelnymi kinematicheskimi parami [Kinematic analysis of a one-degreeof-freedom slidecrank mechanism with fixed turning kinematic pairs]. Fundamental research, 2014, no. 8–5, pp. 1069–1074 (in Russ.).
  10. Malcoci I., Guţu M. Rocker mechanism from classical to modern kinematical analysis. Journal of engineering science of the Technical University of Moldova, 2020, vol. XXVII, no. 3, pp. 54–64. DOI: http://dx.doi.org/10.5281/zenodo.3949664.
  11. Artobolevskiy I.I. Teoriya mekhanizma i mashin [Theory of mechanism and machines]. Moscow, Nauka Publ., 1988. 640 p. (in Russ.).
  12. Wilson C.E., Sadler J.P. Kinematics and dynamics of machinery. Pearson, 2013. 848 p.
  13. Privalov I.I. Analiticheskaya geometriya [Analytical geometry]. Saint Petersburg, Lan Publ., 2022. 304 p. (in Russ.).
  14. Kolovskiy M.Z., Evgrafov A.N., Semenov Yu.A., Sloushch A.V. Teoriya mekhanizmov i mashin [Theory of mechanisms and machines]. Moscow, Akademiya Publ., 2008. 557 p. (in Russ.).
  15. Kotov A.V. Sposob graficheskogo otobrazheniya matematicheskikh modeley ploskikh rychazhnykh mekhanizmov s pomoshchyu matrits odnorodnogo preobrazovaniya [A method for graphical representation of mathematical models of plain lever mechanisms using homogeneous transformation matrices]. Materialy mezhdunarodnoy nauchno-prakticheskoy konferentsii studentov, aspirantov i molodykh uchenykh “19 Masherovskie chteniya” [Proc. International scientific and technical conference of students, postgraduates and young scientists “19th Masherov readings”]. Vitebsk, 2025, vol. 1, pp. 25–28 (in Russ.).
  16. Petrov G.N., Evgrafov A.N. Vizualizatsiya raschetov v programmakh Excel i MathCAD [Visualization calculations in Excel and MathCAD programs]. Materialy 14-y Mezhdunarodnoy nauchnoy konferentsii “Sovremennoe mashinostroenie. Nauka i obrazovanie 2025” [Proc. 14th International scientific conference “Modern mechanical engineering. Science and education 2025”]. Saint Petersburg, 2025, pp. 55–70. DOI: https://doi.org/10.18720/SPBPU/2/id25-99 (in Russ.).