The present paper is aimed at the application of a substructure methodology, based on the Frequency Response Function (FRF) simulation technique, to analyze the vibration of a stage reducer connected by a rigid coupling to a planetary gear system. The computation of the vibration response was achieved using the FRF-based substructuring method. First of all, the two subsystems were analyzed separately and their FRF were obtained. Then the coupled model was analyzed indirectly using the substructuring technique. A comparison between the full system response and the coupled model response using the FRF substructuring was investigated to validate the coupling method. Furthermore, a parametric study of the effect of the shaft coupling stiffness on the FRF was discussed and the effects of modal truncation and condensation methods on the FRF of subsystems were analyzed.
Accepted:
Published online:
Marwa Bouslema 1, 2; Ahmed Frikha 1; Moez Abdennadhar 1; Tahar Fakhfakh 1; Rachid Nasri 2; Mohamed Haddar 1
@article{CRMECA_2017__345_12_807_0,
author = {Marwa Bouslema and Ahmed Frikha and Moez Abdennadhar and Tahar Fakhfakh and Rachid Nasri and Mohamed Haddar},
title = {Effects of modal truncation and condensation methods on the {Frequency} {Response} {Function} of a stage reducer connected by rigid coupling to a planetary gear system},
journal = {Comptes Rendus. M\'ecanique},
pages = {807--823},
publisher = {Elsevier},
volume = {345},
number = {12},
year = {2017},
doi = {10.1016/j.crme.2017.09.008},
language = {en},
}
TY - JOUR AU - Marwa Bouslema AU - Ahmed Frikha AU - Moez Abdennadhar AU - Tahar Fakhfakh AU - Rachid Nasri AU - Mohamed Haddar TI - Effects of modal truncation and condensation methods on the Frequency Response Function of a stage reducer connected by rigid coupling to a planetary gear system JO - Comptes Rendus. Mécanique PY - 2017 SP - 807 EP - 823 VL - 345 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2017.09.008 LA - en ID - CRMECA_2017__345_12_807_0 ER -
%0 Journal Article %A Marwa Bouslema %A Ahmed Frikha %A Moez Abdennadhar %A Tahar Fakhfakh %A Rachid Nasri %A Mohamed Haddar %T Effects of modal truncation and condensation methods on the Frequency Response Function of a stage reducer connected by rigid coupling to a planetary gear system %J Comptes Rendus. Mécanique %D 2017 %P 807-823 %V 345 %N 12 %I Elsevier %R 10.1016/j.crme.2017.09.008 %G en %F CRMECA_2017__345_12_807_0
Marwa Bouslema; Ahmed Frikha; Moez Abdennadhar; Tahar Fakhfakh; Rachid Nasri; Mohamed Haddar. Effects of modal truncation and condensation methods on the Frequency Response Function of a stage reducer connected by rigid coupling to a planetary gear system. Comptes Rendus. Mécanique, Volume 345 (2017) no. 12, pp. 807-823. doi : 10.1016/j.crme.2017.09.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.09.008/
[1] Parametric resonance in two stage gears from fluctuating mesh stiffness, Int. J. Gearing Transm., Volume 3 (2001), pp. 127-134
[2] Mesh stiffness variation instabilities in two stage gear systems, J. Vib. Acoust., Volume 124 (2002), pp. 68-76
[3] Dynamic tooth loads in epicyclic gears, J. Eng. Ind., Volume 94 (1974), pp. 578-584
[4] Non-linear dynamic analysis of a geared rotor-bearing system with multiple clearances, J. Sound Vib., Volume 144 (1991), pp. 469-506
[5] Effect of axial vibrations on the dynamics of a helical gear pair, Trans. Am. Soc. Mech. Eng., Volume 115 (1993), pp. 33-39
[6] Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets, JSME Int. J., Volume 47 (2004) no. 3, pp. 908-915
[7] A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets, Mech. Mach. Theory, Volume 41 (2006), pp. 725-748
[8] Planetary gear train dynamics, J. Mech. Des., Volume 116 (1994) no. 3, pp. 713-720
[9] Dynamic response simulation of planetary gears by the iterative spectral method, Int. J. Simul. Model., Volume 4 (2005), pp. 35-45
[10] Sensitivity of general compound planetary gear natural frequencies and vibration modes to model parameters, J. Vib. Acoust., Volume 132 (2010) no. 1
[11] Comparison of analysis techniques for the dynamic behaviour of an integrated drivetrain in a wind turbine, Proceedings of ISMA 2002, Department of Mechanical Engineering, K.U. Leuven, Belgium, 2002
[12] Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes, Renew. Energy, Volume 36 (2011), pp. 3098-3113
[13] A study on optimum design method of gear transmission system for wind turbine, Int. J. Precis. Eng. Manuf., Volume 14 (2013) no. 5, pp. 767-778
[14] Flexible multibody dynamic modeling of a horizontal wind turbine drivetrain system, J. Mech. Des., Volume 131 (2009), pp. 1-8
[15] Structural analysis of a wind turbine and its drive train using the flexible multibody simulation technique, Proceedings of ISMA2006, Department of Mechanical Engineering, K.U. Leuven, Belgium, 2006
[16] Vibration signal models for fault diagnosis of planetary gearboxes, J. Sound Vib., Volume 331 (2012), pp. 4919-4939
[17] Generalized frequency domain substructure synthesis, J. Am. Helicopter Soc., Volume 33 (1988) no. 1, pp. 55-64
[18] The Mechanics of Vibration, Cambridge University Press, 1960
[19] Prediction of the dynamics of structural assemblies using measured FRF data: some improved data enhancement techniques, London (1991), pp. 909-918
[20] An improved numerical procedure for coupling of dynamic components using frequency response functions, London (1991), pp. 902-908
[21] Determination of system vibratory response characteristics applying a spectral-based inverse sub-structuring approach. Part I: analytical formulation, Int. J. Veh. Noise Vib., Volume 1 (2004), pp. 1-30
[22] Application of the impedance coupling method and the equivalent rotor model in rotordynamics, Finite Elem. Anal. Des., Volume 39 (2002) no. 2, pp. 93-106
[23] Promises and pitfalls of decoupling procedures, Bethel, CT, USA (2008)
[24] Analytical modeling of spindle-tool dynamics on machine tools using Timoshenko beam model and receptance coupling for the prediction of tool point FRF, Int. J. Mach. Tools Manuf., Volume 46 (2006), pp. 1901-1912
[25] The role of interface DoFs in decoupling of substructures based on the dual domain decomposition, Mech. Syst. Signal Process., Volume 24 (2010), pp. 2035-2048
[26] Evaluation of the FRF based substructuring and modal synthesis technique applied to vehicle FE data, Leuven (2003)
[27] Decoupling procedures in the general framework of frequency based substructuring, Proceedings of the IMAC-XXVII, 2009
[28] Dynamic Analysis of Coupled Structures Using Experimental Data, University of London, 1989 (PhD thesis)
[29] Simulation of Dynamic Drive Train Loss in a Wind Turbine, Departement Werktuigkunde, Katholieke Universiteit Leuven, Belgium, 2006 (PhD thesis)
[30] Decoupling of a substructure from modal data of the complete structure, Leuven, Belgium ( January 2004 ), pp. 2693-2706
[31] A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control, J. Sound Vib., Volume 332 (2013), pp. 4403-4422
[32] A modal synthesis technique based on the force derivative method, J. Vib. Acoust., Volume 114 (1992), pp. 209-216
[33] Analytical characterization of the unique properties of planetary gear free vibration, J. Vib. Acoust., Volume 121 (1999), pp. 316-321
[34] Substructure system identification from coupled system test data, Mech. Syst. Signal Process., Volume 22 (2008) no. 1, pp. 15-33
[35] Dynamic response of two rotors connected by rigid mechanical coupling with parallel misalignment, J. Sound Vib., Volume 249 (2002) no. 3, pp. 483-498
[36] The frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method, St. Louis, MO (2006) (Paper 136)
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