ARTICLE
The effect of a cracked tooth on the dynamic response of a simple gearbox with a flexible coupling under acyclism operation
 
More details
Hide details
1
Mechanics, Modeling and Production Laboratory, National Engineering School of Sfax, Sfax, Tunisia
Online publish date: 2019-07-15
Publish date: 2019-07-15
Submission date: 2018-05-19
Acceptance date: 2019-02-26
 
Journal of Theoretical and Applied Mechanics 2019;57(3):591–603
KEYWORDS
ABSTRACT
In this paper, the effect of a cracked tooth on the dynamic response of a simple gearbox with a flexible coupling is studied. The gearbox is driven by a combustion engine through a flexible coupling for which Nelson and Crandall’s model is used. The acyclism regime is generated by diesel engine inducing fluctuations of speed, torque and meshing stiffness. In addition, the cracked tooth of the wheel gear is modelled by lowering the meshing stiffness. After solving the equations of motion by using the Newmark method, the time response, spectrum, joint time-frequency analysis and envelope spectrum are used to characterize the dynamic response of the defected gearbox where the cracked tooth frequency is irregular and independent of the acyclism frequency.
 
REFERENCES (24)
1.
Bartelmus W., 2001, Gearbox dynamic modelling, Journal of Theoretical and Applied Mechanics, 39, 4, 989-999.
 
2.
Barthod M., Hayne B., Tebec J.-L., Pin J.-C., 2007a, Experimental study of dynamic and noise produced by a gearing excited by a multi-harmonic excitation, Applied Acoustics, 68, 982-1002.
 
3.
Barthod M., Hayne B., Tebec J.-L., Pin J.-C., 2007b, Experimental study of gear rattle excited by a multi-harmonic excitation, Applied Acoustics, 68, 1003-1025.
 
4.
Baudin S., Rémond D., Antoni J., Sauvage O., 2016, Non-intrusive rattle noise detection in non-stationary conditions by an angle/time cyclostationary approach, Journal of Sound and Vibration, 366, 501-513, DOI 10.1016/j.jsv.2015.11.044.
 
5.
Chaari F., Fakhfakh T., Haddar M., 2009, Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness, European Journal of Mechanics A/Solids, 28, 461-468.
 
6.
Dhatt G., Touzot G., 1984, Une présentation de la méthode des éléments finis (in French), Paris, Editions Maloine S.A.
 
7.
Driss Y., Hammami A., Walha L., Haddar M., 2014, Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system, Mechanism and Machine Theory, 82, 71-86.
 
8.
Fakhfakh T., Chaari F., Haddar M., 2005, Numerical and experimental analysis of a gear system with teeth defects, International Journal of Advanced Manufacturing Technology, 25, 542-550.
 
9.
Ghorbel A., Zghal B., Abdennadher M., Walha L., Haddar M., 2018, Effect of the gear local damage and profile error of the gear on the drivetrain dynamic response, Journal of Theoretical and Applied Mechanics, 56, 3, 765-779.
 
10.
Hammami A., Fernandez A., Viadero F., Chaari F., Haddar M., 2015, Modal analysis of back-to-back planetary gear: experiments and correlation against lumped parameter model, Journal of Theoretical and Applied Mechanics, 53, 1, 125-138.
 
11.
Hmida A., Hammami A., Khabou M.T., Chaari F., Haddar M., 2017, Effect of elastic coupling on the modal characteristics of spur gearbox system, Applied Acoustics, http://dx.doi.org/10.1016/j.ap....
 
12.
Hmida A., Hammami A., Khabou M.T., Chaari F., Haddar M., 2018, Dynamic behavior of spur gearbox with elastic coupling in the presence of eccentricity defect under acyclism regime, [In:] Rotating Machinery and Signal Processing, A. Felkaoui, F. Chaari, M. Haddar (Edit.), Springer, 123-132.
 
13.
Khabou M.T., Bouchaala N., Chaari F., Fakhfakh T., Haddar M., 2011, Study of a spur gear dynamic behavior in transient regime, Mechanical Systems and Signal Processing, 25, 3089-3101.
 
14.
Kramer E., 1993, Dynamics of Rotors and Foundations, New York, Springer-Verlag.
 
15.
Ligier J.L., Baron E., 2002, Acyclism and Vibrations: Applications to Combustion Engine and Tranmissions (in French), vol. 1, Editions TECHNIP, Paris.
 
16.
Łuczko J., 2008, Chaotic vibrations in gear mesh systems, Journal of Theoretical and Applied Mechanics, 46, 4, 879-896.
 
17.
Ma H., Song R., Pang X., Wen B., 2014, Fault feature analysis of a cracked gear coupled rotor system, Mathematical Problems in Engineering, 2014, Article ID 832192, 22 p.
 
18.
Ma H., Zeng J., Feng R., Pang X., Wang Q., Wen B., 2015, Review on dynamics of cracked gear systems, Engineering Failure Analysis, 55, 224-245.
 
19.
Nelson H.D., Crandall S.H., 1992, Analytic prediction of rotor dynamic response, [In:] Handbook of Rotor Dynamics F.E. Ehrich (Edit.), McGraw-Hill Inc., New York.
 
20.
Park S., Kim S., Choi J.H., 2018, Gear fault diagnosis using transmission error and ensemble empirical mode decomposition, Mechanical Systems and Signal Processing, 108, 262-275.
 
21.
Saxena A., Chouksey M., Parey A., 2017, Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system, Mechanism and Machine Theory, 107, 261-273.
 
22.
Sika G., Velex P., 2008, Instability analysis in oscillators with velocity-modulated time-varying stiffness – Applications to gears submitted to engine speed fluctuations, Journal of Sound and Vibration, 318, 166-175.
 
23.
Tadeo A.T., Cavalca K.L., 2003, A comparison of flexible coupling models for updating in rotating machinery response, Journal of the Brazilian Society of Mechanical Sciences and Engineering, XXV, 3, 235-246.
 
24.
Tadeo A.T., Cavalca K.L., Brennan M.J., 2011, Dynamic characterization of a mechanical coupling for a rotating shaft, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225, 604-616.
 
eISSN:2543-6309
ISSN:1429-2955