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Estimation of the damping model of a spur gear pair system including a time-varying loading
Comptes Rendus. Mécanique, Volume 350 (2022), pp. 255-267.

The integral method was used in a previous research to identify the damping model but this technique has some limitations in estimating the damping model in a gear system including time-varying loading conditions. To overcome these limitations, the integral method is reformulated in this research to identify the damping model on spur gear pair system including variable loading. The motion equations presented in terms of integrals, including time-varying loading conditions, are solved by linear least squares method to characterise the constant piecewise model. Continuous wavelet transform method is used to validate the constant damping model. The new methodology is tested with a signal obtained from numerical simulation.

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DOI : 10.5802/crmeca.104
Mots clés : Time-varying loading conditions, Integral method, Wavelet demodulation, Damping model, Gear system
Nourhaine Yousfi 1, 2 ; Bacem Zghal 2 ; Ali Akrout 1, 2 ; Lassaad Walha 2 ; Mohamed Haddar 2

1 Engineering National School of Tunis, University of Tunis El-Manar, Tunisia
2 Mechanics, Modelling and Production Research Laboratory (LA2MP), Engineering National School of Sfax, University of Sfax, Tunisia
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     author = {Nourhaine Yousfi and Bacem Zghal and Ali Akrout and Lassaad Walha and Mohamed Haddar},
     title = {Estimation of the damping model of a spur gear pair system including a time-varying loading},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {255--267},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {350},
     year = {2022},
     doi = {10.5802/crmeca.104},
     language = {en},
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Nourhaine Yousfi; Bacem Zghal; Ali Akrout; Lassaad Walha; Mohamed Haddar. Estimation of the damping model of a spur gear pair system including a time-varying loading. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 255-267. doi : 10.5802/crmeca.104. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.104/

[1] R. B. Randall A new method of modelling gear faults, J. Mech. Des., Volume 104 (1982), pp. 259-267

[2] Fakher Chaari; Walter Bartelmus; Radoslaw Zimroz; Taher Fakhfakh; Mohamed Haddar Effect of load shape in cyclic load variation on dynamic behavior of spur gear system, Key Eng. Mater., Volume 518 (2012), pp. 119-126 | DOI | Zbl

[3] Wang Guangjiana; Chen Lina; Yu Lia; Zou Shuaidonga Research on the dynamic transmission error of a spur gear pair with eccentricities by finite element method, Mech. Mach. Theory, Volume 109 (2017), pp. 1-13 | DOI

[4] Ernesto Rocca; Riccardo Russo Theoretical and experimental investigation into the influence of the periodic backlash fluctuations on the gear rattle, J. Sound Vib., Volume 330 (2011), pp. 4738-4752 | DOI

[5] Ahmed Hammami; Alfonso Fernandez Del Rincon; Fakher Chaari; Miguel Iglesias Effects of variable loading conditions on the dynamic behaviour of planetary gear with power recirculation, Measurement, Volume 94 (2016), pp. 306-315 | DOI

[6] F. H. Liu; S. Theodossiades; L. A. Bergman; A. F. Vakakis; D. M. McFarland Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions, Mech. Mach. Theory, Volume 94 (2015), pp. 141-147 | DOI

[7] J. W. S. Rayleigh Theory of Sound, 2, Dover Publications, New York, 1877 (1945 reissue)

[8] Youssef M. A. Hashash; D. Park Viscous damping formulation and high frequency motion propagation in non-linear site response analysis Park, Soil Dyn. Earthq. Eng., Volume 22 (2002), pp. 611-624 | DOI

[9] Nourhaine Yousfi; Bacem Zghal; Ali Akrout; Lassaad Walha; Mohamed Haddar Selection of viscous damping coefficients using the continuous wavelet transform method for a gear system, J. Theor. Appl. Mech., Volume 58 (2020) no. 3, pp. 585-598 | DOI

[10] M. Amabili; A. Rivola Dynamic analysis of spur gear pairs: steady-state response and stability of the sdof model with time-varying meshing damping, Mech. Syst. Signal Process, Volume 11 (1997) no. 3, pp. 375-390 | DOI

[11] R. Guilbault; S. Lalonde; M. Thomas Nonlinear damping calculation in cylindrical gear dynamic modeling, J. Sound Vib., Volume 331 (2012) no. 9, pp. 2110-2128 | DOI

[12] S. Li; A. Kahraman A spur gear mesh interface damping model based on elastohydrodynamic contact behaviour, Int. J. Powertrains, Volume 1 (2011) no. 1, pp. 4-21 | DOI

[13] Nourhaine Yousfi; Bacem Zghal; Ali Akrout; Lassaad Walha; Mohamed Haddar Damping models identification of a spur gear pair, Mech. Mach. Theory, Volume 122 (2018), pp. 371-388 | DOI

[14] L. Walha; T. Fakhfakh; M. Haddar Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash, Mech. Mach. Theory, Volume 44 (2009), pp. 1058-1069 | DOI | Zbl

[15] N. Wongvanich; C. E. Hann; H. R. Sirisena Minimal modeling methodology to characterize non-linear damping in an electromechanical system, Math. Comput. Simul., Volume 117 (2015), pp. 117-140 | DOI | MR | Zbl

[16] C. Hann; M. Snowdon; A. Rao; O. Winn; N. Wongvanich; X. Chen Minimal modelling approach to describe turbulent rocket roll dynamics in a vertical wind tunnel, Proc. Inst. Mech. Eng. G J. Aerosp. Eng., Volume 226 (2011), pp. 1042-1060 | DOI

[17] C. E. Hann; J. Chase; J. Lin; T. Lotz; C. Doran; G. Shaw Integral-based parameter identification for long-term dynamic verification of a glucose-insulin system model, Comput. Meth. Programs Biomed., Volume 77 (2005), pp. 259-270 | DOI

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