Abstract
Recurrence plots and recurrence plots quantification analysis were applied to the planetary gears system to identify faults in the system. In this chapter the recurrence rate parameter adopted in the gear fault detection is presented. It is indicated in terms of recurrence statistics that the response of the gears system with faults is more periodic. This is caused by selected harmonics which are more pronounced in system with faults. Usefulness of other recurrence parameters is also discussed.
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References
F. Chaari, T. Fakhfakh, M. Haddar, Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking. J. Fail. Anal. Prev. 6, 73–78 (2006)
Z. Cheng, N. Hu. Quantitative Damage Detection for Planetary Gear Sets Based on Physical Models. Chin. J. Mech. Eng. 25(1), 190–196 (2012)
M.I. Friswell, G. Litak, J.T. Sawicki, Crack identification in rotating machines with active bearings, in Proceedings of ISMA (Leuven, Belgium, 20–22 September, 2010), pp. 2843–2855
Y.C. Guo, R.G. Parker, Analytical determination of mesh phase relations in general compound planetary gears. Mech. Mach. Theory 46, 1869–1887 (2011)
C. Hu, W.A. Smith, R.B. Randall, Z. Peng, Development of a gear vibration indicator and its application in gear wear monitoring. Mech. Syst. Signal Process. 76–77, 319–336 (2016). https://doi.org/10.1016/j.ymssp.2016.01.018
Y.G. Lei, M.J. Zuo, Z.J. He et al., A multidimensional hybrid intelligent method for gear fault diagnosis. Expert Syst. Appl. 37, 1419–1430 (2010)
Y.G. Lei, J. Lin, M.J. Zuo, Z. He, Condition monitoring and fault diagnosis of planetary gear boxes: a review. Measurement 48, 292–305 (2014)
G. Litak, M.I. Friswell, Dynamics of a gear system with faults in meshing stiffness. Nonlinear Dyn. 41, 415–421 (2005). https://doi.org/10.1007/s11071-005-1398-y
G. Litak, J.T. Sawicki, R. Kasperek, Cracked rotor detection by recurrence plots. Nondestruct. Test. Eval. 24(4), 347–351 (2009)
G. Litak, M. Wiercigroch, B.W. Horton, X. Xu, Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik 90(1), 33–41 (2010)
N. Marwan, J. Kurths, Nonlinear analysis of bivariate data withcross recurrence plots. Phys. Lett. A 302, 299–307 (2002)
N. Marwan, M.C. Romano, M. Thiel, Recurrence plots for the analysis of complex systems. Phys. Rep. 438, 237–329 (2007)
N. Marwan, CRP Toolbox for MATLAB v.5.19, Potsdam Institute for Climate Impact Research (PIK) (2016). http://tocsy.pik-potsdam.de/crp.php
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Ambrożkiewicz, B., Guo, Y., Litak, G., Wolszczak, P. (2019). Dynamical Response of a Planetary Gear System with Faults Using Recurrence Statistics. In: Belhaq, M. (eds) Topics in Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 228. Springer, Singapore. https://doi.org/10.1007/978-981-13-9463-8_9
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DOI: https://doi.org/10.1007/978-981-13-9463-8_9
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