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Analysis of the backlash in the single stage cycloidal gearbox

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper the analysis of backlash influence on the spectrum of torque at the output shaft of a cycloidal gearbox has been performed. The model of the single stage cycloidal gearbox was designed in the MSC Adams. The analysis for the excitation with the torque and the analysis with constant angular velocity of the input shaft were performed. For these analyses, the amplitude spectrums of the output torque for different backlashes was solved using FFT algorithm. The amplitude spectrums of the combined sine functions composed of the impact to impact times between the cycloidal wheel and the external sleeves were computed for verification. The performed studies show, that the backlash has significant influence on the output torque amplitude spectrum. Unfortunately the dependencies between the components of the spectrum and the backlash could not be expressed by linear equations, when vibrations of the output torque in the range of (350 Hz – 600 Hz) are considered. The gradual dependence can be found in the spectrum determined for the combined sine functions with half-periods equal impact-to-impact times. The spectrum is narrower for high values of backlash.
Rocznik
Strony
693--711
Opis fizyczny
Bibliogr. 24 poz., rys., tab.
Twórcy
autor
  • Faculty of Mechanical Engineering, Kazimierz Pulaski University of Technology and Humanities in Radom, Poland
Bibliografia
  • [1] M. Blagojević, M. Matejić, and N. Kostić. Dynamic behaviour of a two-stage cycloidal speed reducer of a new design concept. Tehnički Vjesnik, 25(2):291–298, 2018, doi: 10.17559/TV- 20160530144431.
  • [2] M. Wikło, R. Król, K. Olejarczyk, and K. Kołodziejczyk. Output torque ripple for a cycloidal gear train. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(21–22):7270–7281, 2019, doi: 10.1177/0954406219841656.
  • [3] N. Kumar, V. Kosse, and A. Oloyede. A new method to estimate effective elastic torsional compliance of single-stage Cycloidal drives. Mechanism and Machine Theory, 105:185–198, 2016, doi: 10.1016/j.mechmachtheory.2016.06.023.
  • [4] C.F. Hsieh. The effect on dynamics of using a new transmission design for eccentric speed reducers. Mechanism and Machine Theory, 80:1–16, 2014, doi: 10.1016/j.mechmachtheory.2014.04.020.
  • [5] R. Król. Kinematics and dynamics of the two stage cycloidal gearbox. AUTOBUSY – Technika, Eksploatacja, Systemy Transportowe, 19(6):523–527, 2018, doi: 10.24136/atest.2018.125.
  • [6] K.S. Lin, K.Y. Chan, and J.J. Lee. Kinematic error analysis and tolerance allocation of cycloidal gear reducers. Mechanism and Machine Theory, 124:73–91, 2018, doi: 10.1016/j.mechmachtheory.2017.12.028.
  • [7] L.X. Xu, B.K. Chen, and C.Y. Li. Dynamic modelling and contact analysis of bearing-cycloid-pinwheel transmission mechanisms used in joint rotate vector reducers. Mechanism and Machine Theory, 137:432–458, 2019, doi: 10.1016/j.mechmachtheory.2019.03.035.
  • [8] D.C.H. Yang and J.G. Blanche. Design and application guidelines for cycloid drives with machining tolerances. Mechanism and Machine Theory, 25(5):487–501, 1990, doi: 10.1016/0094-114X(90) 90064-Q.
  • [9] J.W. Sensinger. Unified approach to cycloid drive profile, stress, and efficiency optimization. Journal of Mechanical Design, 132(2):024503, 2010, doi: 10.1115/1.4000832.
  • [10] Y. Li, K. Feng, X. Liang, and M.J. Zuo. A fault diagnosis method for planetary gearboxes under non-stationary working conditions using improved Vold-Kalman filter and multi-scale sample entropy. Journal of Sound and Vibration, 439:271–286, 2019, doi: 10.1016/j.jsv.2018.09.054.
  • [11] Z.Y. Ren, S.M. Mao, W.C. Guo, and Z. Guo. Tooth modification and dynamic performance of the cycloidal drive. Mechanical Systems and Signal Processing, 85:857–866, 2017, doi: 10.1016/j.ymssp.2016.09.029.
  • [12] L.X. Xu and Y.H. Yang. Dynamic modeling and contact analysis of a cycloid-pin gear mechanism with a turning arm cylindrical roller bearing. Mechanism and Machine Theory, 104:327–349, 2016, doi: 10.1016/j.mechmachtheory.2016.06.018.
  • [13] S. Schmidt, P.S. Heyns, and J.P. de Villiers. A novelty detection diagnostic methodology for gearboxes operating under fluctuating operating conditions using probabilistic techniques, Mechanical Systems and Signal Processing, vol. 100, pp. 152–166, 2018, doi: 10.1016/j.ymssp.2017.07.032.
  • [14] Y. Lei, D. Han, J. Lin, and Z. He. Planetary gearbox fault diagnosis using an adaptive stochastic resonance method. Mechanical Systems and Signal Processing, 38(1):113–124, 2013, doi: 10.1016/j.ymssp.2012.06.021.
  • [15] Y. Chen, X. Liang, and M.J. Zuo. Sparse time series modeling of the baseline vibration from a gearbox under time-varying speed condition. Mechanical Systems and Signal Processing, 134:106342, 2019, doi: 10.1016/j.ymssp.2019.106342.
  • [16] G. D’Elia, E. Mucchi, and M. Cocconcelli. On the identification of the angular position of gears for the diagnostics of planetary gearboxes. Mechanical Systems and Signal Processing, 83:305–320, 2017, doi: 10.1016/j.ymssp.2016.06.016.
  • [17] X. Chen and Z. Feng. Time-frequency space vector modulus analysis of motor current for planetary gearbox fault diagnosis under variable speed conditions. Mechanical Systems and Signal Processing, 121:636–654, 2019, doi: 10.1016/j.ymssp.2018.11.049.
  • [18] S. Schmidt, P.S. Heyns, and K.C. Gryllias. A methodology using the spectral coherence and healthy historical data to perform gearbox fault diagnosis under varying operating conditions. Applied Acoustics, 158:107038, 2020, doi: 10.1016/j.apacoust.2019.107038.
  • [19] D. Zhang and D. Yu. Multi-fault diagnosis of gearbox based on resonance-based signal sparse decomposition and comb filter. Measurement, 103:361–369, 2017, doi: 10.1016/j.measurement.2017.03.006.
  • [20] C. Wang, H. Li, J. Ou, R. Hu, S. Hu, and A. Liu. Identification of planetary gearbox weak compound fault based on parallel dual-parameter optimized resonance sparse decomposition and improved MOMEDA. Measurement, 165:108079, 2020, doi: 10.1016/j.measurement.2020.108079.
  • [21] W. Teng, X. Ding, H. Cheng, C. Han, Y. Liu, and H. Mu. Compound faults diagnosis and analysis for a wind turbine gearbox via a novel vibration model and empirical wavelet transform. Renewable Energy, 136:393–402, 2019, doi: 10.1016/j.renene.2018.12.094.
  • [22] R. Król. Resonance phenomenon in the single stage cycloidal gearbox. Analysis of vibrations at the output shaft as a function of the external sleeves stiffness. Archive of Mechanical Engineering, 68(3):303–320, 2021, doi: 10.24425/ame.2021.137050.
  • [23] MSC Software. MSC Adams Solver Documentation.
  • [24] MSC Software. MSC Adams View Documentation.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0738efb8-1ae2-4363-ba52-15ec1b535324
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