Effect of Load Shape in Cyclic Load Variation on Dynamic Behavior of Spur Gear System

Abstract:

Transmissions including spur gears are widely used in several industrial applications. They are characterized by high efficiency and capability to transmit high torques. A special attention should be made for transmissions running under varying loading conditions which have to be well monitored. The presence of this variability associated with defects that may occur in the transmission will complicate its condition monitoring. The first step to overcome this difficulty is to identify and characterize the dynamic response of the transmission in healthy conditions subjected to variable loading conditions. In this paper, a model based approach is presented in order investigate the influence of the loading shape on the vibration characteristics of the transmission. A dynamic model of a one stage spur gear transmission including a time varying loading conditions is developed. Two cases of loading conditions are considered. A parametric study is achieved and main conclusions are discussed.

• Periodical: Key Engineering Materials (Volume 518)
• Pages: 119-126
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.518.119
• Online since: July 2012
• Authors: Fakher Chaari, Walter Bartelmus, Radoslaw Zimroz, Taher Fakhfakh, Mohamed Haddar
• Keywords: Dynamic Response, Spur Gear Transmissions, Time Varying Loading Conditions

References

[1] W. Bartelmus, Condition monitoring of open cast mining machinery. Oficyna Wydawnicza Politechniki Wrocławskiej Wrocław (2006).

[2] W. Bartelmus, Gearbox damage process Journal of Physics: Conference Series, Vol. 305/1 (2011) Article no 012029 DOI: 10. 1088/1742-6596/305/1/012029.

DOI: 10.1088/1742-6596/305/1/012029

[3] W. Bartelmus, F. Chaari, R. Zimroz and M Haddar, Modelling of gearbox dynamics under time-varying nonstationary load for distributed fault detection and diagnosis. European Journal of Mechanics. A, Solids 29/4 (2010), 637-646.

DOI: 10.1016/j.euromechsol.2010.03.002

[4] W. Bartelmus, Root cause and vibration signal analysis for gearbox condition monitoring, Insight: Non-Destructive Testing and Condition Monitoring Vol. 50/4 (2008) pp.195-201.

DOI: 10.1784/insi.2008.50.4.195

[5] Bartelmus, W., Zimroz, R., Vibration condition monitoring of planetary gearbox under random varying, Mechanical Systems and Signal Processing 23 (2009) 246-257.

DOI: 10.1016/j.ymssp.2008.03.016

[6] W. Bartelmus, R. Zimroz, A new feature for monitoring the condition of gearboxes in non-stationary operating conditions, Mechanical Systems and Signal Processing 29 (2010) 637-646.

DOI: 10.1016/j.ymssp.2009.01.014

[7] R.B., Randall, A new method of modelling gear faults, Journal of Mechanical Design 104, (1982) 259–267.

[8] C. J. Stander, P. S. Heyns, W. Schoombie, Using Vibration Monitoring For Local Fault Detection on Gears Operating Under Fluctuating Load Conditions, Mechanical Systems and Signal Processing 16/6 (2002) 1005–1024.

DOI: 10.1006/mssp.2002.1479

[9] N. Baydar, A. Ball, Detection of gear deterioration under varying load conditions by using the instantaneous power spectrum. Mechanical Systems and Signal Processing 14 (2000) 907–921.

DOI: 10.1006/mssp.1999.1281

[10] Combet, F, Zimroz, R, A new method for the estimation of the instantaneous speed relative fluctuation in a vibration signal based on the short time scale transform, Mechanical Systems and Signal Processing 23/4 (2009) 1382-1397.

DOI: 10.1016/j.ymssp.2008.07.001

[11] F. Chaari, W. Bartelmus, R. Zimroz, T. Fakhfakh, M. Haddar, Gearbox vibration signal amplitude and frequency modulation, Shock and Vibration, Accepted for publication, 2011. DOI 10. 3233/SAV-2011-0656.

DOI: 10.1155/2012/839420

[12] Y. Zhan, Y. Makis, A.K.S. Jardine, Adaptive State Detection Of Gearboxes Under Varying Load Conditions Based On Parametric Modelling Mechanical, Mechanical Systems and Signal Processing 20/1 (2006) 188-221.

DOI: 10.1016/j.ymssp.2004.08.004

[13] T. Fakhfakh , F. Chaari, M. Haddar, Numerical and experimental analysis of gear system with teeth defects, International Journal of Advanced Manufacturing Technology (IJAMT) 25 (2005) 542-550.

DOI: 10.1007/s00170-003-1830-8

[14] F. Chaari, W. Baccar, M. Haddar, Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission, European Journal of Mechanics A/ Solids 27/4 (2008) 691-705.

DOI: 10.1016/j.euromechsol.2007.11.005

[15] Chaari, F., Fakhfakh, T., Haddar M., Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness, European Journal of Mechanics - A/Solids, 2009, Vol. 28, p.461–468.

DOI: 10.1016/j.euromechsol.2008.07.007

[16] Bartelmus, W., Mathematical modelling of gearbox vibration for fault diagnosis. International Journal of COMADEM, 2000, Vol. 3 (4), pp.5-15.

[17] Bartelmus, W., Mathematical modelling and computer simulations as an aid to gearbox diagnostics. Mechanical Systems and Signal Processing, 2001, Vol. 15 (5), pp.855-871.

DOI: 10.1006/mssp.2001.1411

[18] Wright, D., Class notes on design and analysis of machine elements, Department of Mechanical and Materials Engineering, The University of Western Australia (2005).

[19] R. G. Parker, S. M Vijayakar, T. Imago, Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons, Journal of Sound and Vibration 237/3 (2000) 435-455.

DOI: 10.1006/jsvi.2000.3067

[20] R. Zimroz, F. Millioz, N. Martin, A procedure of vibration analysis from planetary gearbox under non-stationary cyclic operations by instantaneous frequency estimation in time-frequency domain, Proceedings of the 7th International Conference on Condition Monitoring and Machinery Failure Prevention Technologies, Stratford upon Avon, June 2010, UK.

DOI: 10.1007/978-3-319-20463-5_9

[21] R. Zimroz, J. Urbanek, T. Barszcz W. Bartelmus, F. Millioz, N. Martin, Measurement of instantaneous shaft speed by advanced vibration signal processing - application to wind turbine gearbox, Metrology and Measurement Systems, Vol. 18, 4 (2011).

DOI: 10.2478/v10178-011-0066-4

[22] R. Makowski et all Adaptive Bearings Vibration Modelling for Diagnosis, Lecture Notes in Computer Science (in Lecture Notes in Artificial Intellig. ) Vol. 6943 LNAI (2011) 248-259.

DOI: 10.1007/978-3-642-23857-4_26

[23] R. Zimroz , W. Bartelmus Application of adaptive filtering for weak impulsive signal recovery for bearings local damage detection in complex mining mechanical systems working under condition of varying load Solid State Phenomena Vol. 180 (2012).

DOI: 10.4028/www.scientific.net/ssp.180.250

[24] M.T. Khabou, N. Bouchaala, F. Chaari, T. Fakhfakh, M. Haddar Study of a spur gear dynamic behavior in transient regime Mechanical Systems and Signal Processing 25/8(2011) 3089-3101 doi: 10. 1016/j. ymssp. 2011. 04. 018.

DOI: 10.1016/j.ymssp.2011.04.018