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Multibody Dynamics Model of the Cycloidal Gearbox, Implemented in Fortran for Analysis of Dynamic Parameters Influenced by the Backlash as a Design Tolerance Cover

Multibody Dynamics Model of the Cycloidal Gearbox, Implemented in Fortran for Analysis of Dynamic Parameters Influenced by the Backlash as a Design Tolerance

By: Roman Król and  Kazimierz Król  
Open Access
|May 2023

References

  1. Wikło M, Król R, Olejarczyk K, Kołodziejczyk K. Output torque ripple for a cycloidal gear train. Proc Inst Mech Eng C J Mech Eng Sci 2019;233:7270–81. https://doi.org/10.1177/0954406219841656.
  2. Król R. Resonance phenomenon in the single stage cycloidal gear-box. Analysis of vibrations at the output shaft as a function of the external sleeves stiffness. Archive of Mechanical Engineering 2021;68:303–20. https://doi.org/10.24425/ame.2021.137050.
  3. Król R. Kinematics and dynamics of the two stage cycloidal gearbox. AUTOBUSY – Technika, Eksploatacja, Systemy Transportowe 2018;19:523–7. https://doi.org/10.24136/atest.2018.125.
  4. Plöger DF, Zech P, Rinderknecht S. Vibration signature analysis of commodity planetary gearboxes. Mech Syst Signal Process 2019;119:255–65. https://doi.org/10.1016/j.ymssp.2018.09.014.
  5. Lei Y, Han D, Lin J, He Z. Planetary gearbox fault diagnosis using an adaptive stochastic resonance method. Mech Syst Signal Process 2013;38:113–24. https://doi.org/10.1016/j.ymssp.2012.06.021.
  6. Wang T, Han Q, Chu F, Feng Z. Vibration based condition monitoring and fault diagnosis of wind turbine planetary gearbox: A review. Mech Syst Signal Process 2019;126:662–85. https://doi.org/10.1016/j.ymssp.2019.02.051.
  7. Naveen P, Kiran R, Siva Sankaram EVS, Bha-radwaj TM. Design, Analysis and Simulation of Compact Cycloidal Drive. Int J Sci Res Sci Eng Technol 2020;7:216–20. https://doi.org/10.32628/ijsrset207547.
  8. Król R, Król K. Optymalizacja nieliniowa przekładni cykloidalnej z ograniczeniami równościowymi na wymiary obudowy. In: Pawliczek R, Owsinski R, Łagoda T, editors. Projektowanie, budowa i eksploatacja maszyn cz. 1, vol. 558, Opole: Politechnika Opolska; 2021, p. 95–108.
  9. Li T, An X, Deng X, Li J, Li Y. A new tooth profile modification method of cycloidal gears in precision reducers for robots. Applied Sciences 2020;10. https://doi.org/10.3390/app10041266.
  10. Kormin TG, Tsumbu JDB. Cycloidal reducer with rotation external ring gear. IOP Conf Ser Mater Sci Eng 2020;971. https://doi.org/10.1088/1757-899X/971/4/042072.
  11. Huang X, Zhang J. Analysis of Geometric Characteristics of Cycloidal Transmission. IOP Conf Ser Mater Sci Eng 2020;751:12059. https://doi.org/10.1088/1757-899X/751/1/012059.
  12. Huang JT, Li CW. The High-payload Manipulator Development Based on Novel Two-stage Cycloidal Speed Reducers and Hub Motors. J Phys Conf Ser 2020;1583:12002. https://doi.org/10.1088/1742-6596/1583/1/012002.
  13. Blagojevic M, Marjanovic N, Djordjevic Z, Stojanovic B, Disic A. A new design of a two-stage cycloidal speed reducer. Journal of Mechanical Design 2011;133. https://doi.org/10.1115/1.4004540.
  14. Olejarczyk K, Wiklo M, Król K, Kolodziejczyk K. Cycloidal disc calculation of cycloidal gear using finite element method. Logistyka 2015;6.
  15. Blagojevic M, Marjanovic N, Stojanovic B, Blagojević M, Marjanović N, Đorđević Z. Stress And Strain State Of Single-Stage Cy-Cloidal Speed Reducer. The 7th International Conference Research And Development Of Mechanical Elements And Systems Irmes, 2011.
  16. Strutynskyi S, Semenchuk R. Investigation of the accuracy of the manipulator of the robotic complex constructed on the basis of cycloidal transmission. Technology Audit and Production Reserves 2021;4:6–14. https://doi.org/10.15587/2706-5448.2021.237326.
  17. Chavan U, Joshi A, Kolambe Y, Gwalani H, Chaudhari H, Khalate A, et al. Magnification of energy transmission ratio using miniature cycloidal gear box for humanoids. IOP Conf Ser Mater Sci Eng 2022;1272:012017. https://doi.org/10.1088/1757-899X/1272/1/012017.
  18. Blagojevic M, Pantić I, Blagojević M. KINEMATIC ANALYSIS OF SINGLESTAGE CYCLOIDAL SPEED REDUCER. Machine Design 2015;7:113–8.
  19. Al Kouzbary M, Al Kouzbary H, Liu J, Khamis T, Al-Hashimi Z, Shasmin HN, et al. Robotic Knee Prosthesis with Cycloidal Gear and Four-Bar Mechanism Optimized Using Particle Swarm Algorithm. Actuators 2022;11. https://doi.org/10.3390/act11090253.
  20. Tonoli A, Amati N, Impinna F, Detoni G, Ruzimov S, Gasparin E, et al. Influence of dry friction on the irreversibility of cycloidal speed reducer. 5th World Tribology Congress, WTC 2013, 2013.
  21. Luo SM, Liao LX, Mo JY. Prediction of surface roughness of end milling for cycloidal gears based on orthogonal tests. Engineering Transactions 2018;66:339–52. https://doi.org/10.24423/EngTrans.860.20180830.
  22. Blagojevic M, Marjanovic N, Stojanovic B, Ivanovic L. Influence of the friction on the cycloidal speed reducer efficiency. Journal of the Balkan Tribological Association 2012;18:217–27.
  23. Bo W, Jiaxu W, Guangwu Z, Rongsong Y, Hongjun Z, Tao H. Mixed lubrication analysis of modified cycloidal gear used in the RV reducer. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 2016;230:121–34. https://doi.org/10.1177/1350650115593301.
  24. Vasić M, Blagojević M, Dragoi M. Thermal stability of lubricants in cycloidal reducers. Engineering Today 2022;1:7–17. https://doi.org/10.5937/engtoday2202007v.
  25. Zaręba R, Mazur T, Olejarczyk K, Bzinkowski D. Measurement of the Cycloidal Drive Sleeves and Pins. Mechanika 2021;27:505–12. https://doi.org/10.5755/J02.MECH.27815.
  26. Petrovskiy AN. Increased efficiency of eccentric cycloidal engagement. Proceedings of Higher Educational Institutions Маchine Building 2021:3–14. https://doi.org/10.18698/0536-1044-2021-9-3-14.
  27. Olejarczyk K, Wikło M, Kołodziejczyk K, Król R, Król K. Theoretical and experimental verification of one stage cycloidal gearbox efficiency. Advances in Mechanism and Machine Science, vol. 73, Springer Science and Business Media B.V.; 2019, p. 1029–38. https://doi.org/10.1007/978-3-030-20131-9_102.
  28. Król R, Wikło M, Olejarczyk K, Kołodziejczyk K, Zieja A. Optimization of the one stage cycloidal gearbox as a non-linear least squares problem. Advances in Mechanism and Machine Science, 2019, p. 1039–48. https://doi.org/10.1007/978-3-030-20131-9_103.
  29. Sun X, Han L, Wang J. Tooth modification and loaded tooth contact analysis of China Bearing Reducer. Proc Inst Mech Eng C J Mech Eng Sci 2019;233:6240–61. https://doi.org/10.1177/0954406219858184.
  30. Li T, Wang G, Deng X, An X, Xing C, Ma W. Contact Analysis of Cycloidal-pin Gear of RV Reducer under the Influence of Profile Error. J Phys Conf Ser 2019;1168:22095. https://doi.org/10.1088/1742-6596/1168/2/022095.
  31. Xu LX. A dynamic model to predict the number of pins to transmit load in a cycloidal reducer with assembling clearance. Proc Inst Mech Eng C J Mech Eng Sci 2019;233:4247–69. https://doi.org/10.1177/0954406218809732.
  32. Xu LX, Chen BK, Li CY. Dynamic modelling and contact analysis of bearing-cycloid-pinwheel transmission mechanisms used in joint rotate vector reducers. Mech Mach Theory 2019;137:432–58. https://doi.org/10.1016/j.mechmachtheory.2019.03.035.
  33. Król R. Analysis of the backlash in the single stage cycloidal gearbox. Archive of Mechanical Engineering 2022;69:693–711. https://doi.org/10.24425/ame.2022.141521.
  34. Csobán A. Impacts of a profile failure of the cycloidal drive of a planetary gear on transmission gear. Lubricants 2021;9. https://doi.org/10.3390/lubricants9070071.
  35. Kostić N, Blagojević M, Petrović N, Matejić M, Marjanović N. Determination of real clearances between cycloidal speed reducer elements by the application of heuristic optimization. Transactions of Famena 2018;42:15–26. https://doi.org/10.21278/TOF.42102.
  36. Blagojević M, Matejić M, Kostić N. Dynamic behaviour of a two-stage cycloidal speed reducer of a new design concept. Tehnicki Vjesnik 2018;25:291–8. https://doi.org/10.17559/TV-20160530144431.
  37. Wikło M, Krzysztof O, Krzysztof K, Król K, Komorska I. Experimental vibration test of the cycloidal gearbox with different working conditions. Vibroengineering Procedia, vol. 13, EXTRICA; 2017, p. 24–7. https://doi.org/10.21595/vp.2017.19073.
  38. Hsieh CF, Jian WS. The effect on dynamics of using various transmission designs for two-stage cycloidal speed reducers. Proc Inst Mech Eng C J Mech Eng Sci 2016;230:665–81. https://doi.org/10.1177/0954406215618984.
  39. Xuan L, Xie C, Guan T, Lei L, Jiang H. Research on dynamic modeling and simulation verification of a new type of FT pin-cycloid transmission. Proc Inst Mech Eng C J Mech Eng Sci 2019;233:6276–88. https://doi.org/10.1177/0954406219861999.
  40. Yang R, An Z. Theoretical calculation and experimental verification of the elastic angle of a cycloid ball planetary transmission based on the axial pretightening force. Advances in Mechanical Engineering 2017;9:1–17. https://doi.org/10.1177/1687814017734112.
  41. Król R. Software for the cycloidal gearbox multibody dynamics analysis, implemented in Fortran. (Purpose: presentation of the results in the scientific article) 2022. https://doi.org/10.5281/ZENODO.7221146.
  42. Nikravesh PE. Planar Multibody Dynamics. 2018. https://doi.org/10.1201/b22302.
  43. Nikravesh PE. Planar multibody dynamics: Formulation, programming and applications. 2007.
  44. Flores P, Lankarani HM. Contact Force Models for Multibody Dynamics. vol. 226. Cham: Springer International Publishing; 2016. https://doi.org/10.1007/978-3-319-30897-5.
  45. MSC Software. MSC Adams Solver Documentation n.d.
  46. MSC Software. MSC Adams View Documentation. n.d.
DOI: https://doi.org/10.2478/ama-2023-0031 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 272 - 280
Submitted on: Oct 10, 2022
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Accepted on: Feb 5, 2023
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Published on: May 10, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2023 Roman Król, Kazimierz Król, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.