Abstract
Planetary gearboxes are used in a large variety of mechanical systems. Several of these systems undergo variable operating conditions, producing non-stationary features of measured variables typically used for condition monitoring purposes, such as vibrations. Benefits can be obtained from these signals only if the consideration of the non-stationary features is properly made. For this purpose it is necessary to conduct numerical investigation and experimental study on the dynamic behaviour of planetary gearboxes under variable operating conditions. In this paper we address the problem of a one-stage planetary gearbox driven by an asynchronous motor in open-loop control configuration and subjected to periodically variable load. The dynamic response is obtained by integrating the equation of motion using implicit Newmark algorithm. For validation, test bench measurements are performed on a planetary gearbox subjected to the same conditions simulated. The results show good agreement between the model and actual system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chaari F, Bartelmus W, Zimroz R, Fakhfakh T, Haddar M (2012) Gearbox vibration signal amplitude and frequency modulation. Shock Vib 18:1–18
Randall RB (1982) A new method of modeling gear faults. J Mech Des 104:259–267
Bartelmus W (1992) Vibration condition monitoring of gearboxes. Mach Vib 1:178–189
Bartelmus W, Zimroz R (2009) Vibration condition monitoring of planetary gearbox under varying external load. Mech Syst Sig Proc 23:246–257
Bartelmus W, Chaari F, Zimroz R, Haddar M (2010) Modelling of gearbox dynamics under time-varying non stationary load for distributed fault detection and diagnosis. Eur J Mech A/Sol 29:637–646
Zimroz R, Millioz F, Martin N (2010) A procedure of vibration analysis from planetary gearbox under non-stationary cyclic operations for instantaneous frequency estimation in time-frequency domain. In: Conference on condition monitoring and machinery failure prevention technologies (CM and MFPT 2010). Stratford-upon-Avon, UK
Khabou MT, Bouchaala N, Chaari F, Fakhfakh T, Haddar M (2011) Study of a spur gear dynamic behavior in transient regime. Mech Syst Signal Process 25(8):3089–3101
Bouchaala N, Chaari F, Khabou MT, Fakhfakh T, Haddar M (2011) Influence of the nonlinear Hertzian stiffness on the dynamics of a spur gear system under transient regime and tooth defects. Int J Veh Noise Vib 7(2):149–177
Chaari F, Abbes MS, Rueda FV, del Rincon AF, Haddar M (2013) Analysis of planetary gear transmission in non-stationary operations. Front Mech Eng 8(1):88–94
Vicuña CM (2012) Theoretical frequency analysis of vibrations from planetary gearboxes. Forschungim Ingenieurwesen 76(1):15–31
Inalpolat M, Kahraman AA (2009) Theoretical and experimental investigation of modulation sidebands of planetary gear sets. J Sound Vib 323(3–5):677–696
Lin J, Parker RG (1999) Analytical characterization of the unique properties of planetary gear free vibration. J Vib Acoust 121:316–321
Wright D (2005) Class notes on design and analysis of machine elements. Department of Mechanical and Materials Engineering, The University of Western Australia
McFadden PD, Smith JD (1985) An explanation for the asymmetry of the modulation sidebands about the tooth meshing frequency in epicyclic gear vibration. Proc Inst Mech Eng 199(C1):65–70
Acknowledgments
Cristián Molina Vicuña thanks CONICYT-FONDECYT for the support of Project 11110017.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Vicuña, C.M., Chaari, F. (2016). Analysis of a Planetary Gearbox Under Non-stationary Operating Conditions: Numerical and Experimental Results. In: Chaari, F., Zimroz, R., Bartelmus, W., Haddar, M. (eds) Advances in Condition Monitoring of Machinery in Non-Stationary Operations. CMMNO 2014. Applied Condition Monitoring, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-20463-5_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-20463-5_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20462-8
Online ISBN: 978-3-319-20463-5
eBook Packages: EngineeringEngineering (R0)