In order to investigate the behaviour of worm drives, a new dynamic model, composed of two blocks, is established and used to extract numerical results. The tooth deflection of the worm drive, bearings, and wheels inertias are taken into consideration. Newmark solving method is applied to solve motion equations. The state of contact of teeth is what enables these signals to manifest themselves. Modal analysis is developed to investigate the different natural modes of the model. Furthermore, modal energetic analysis is used to understand the distribution of strain and kinetic energies. It is also applied to classify natural models into “teeth modes” and “bearing modes”. These two modes constitute two different frequency bands. The dynamic coefficient is measured simultaneously with the gradual increase of the turning speed of the motor. This allows for the evaluation of the overload of the system.

Revised:

Accepted:

Published online:

Ala Eddin Chakroun ^{1, 2};
Ahmed Hammami ^{2};
Ana De-Juan ^{1};
Fakher Chaari ^{2};
Alfonso Fernandez ^{1};
Fernando Viadero ^{1};
Mohamed Haddar ^{2}

@article{CRMECA_2021__349_2_241_0, author = {Ala Eddin Chakroun and Ahmed Hammami and Ana De-Juan and Fakher Chaari and Alfonso Fernandez and Fernando Viadero and Mohamed Haddar}, title = {Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model}, journal = {Comptes Rendus. M\'ecanique}, pages = {241--258}, publisher = {Acad\'emie des sciences, Paris}, volume = {349}, number = {2}, year = {2021}, doi = {10.5802/crmeca.80}, language = {en}, }

TY - JOUR AU - Ala Eddin Chakroun AU - Ahmed Hammami AU - Ana De-Juan AU - Fakher Chaari AU - Alfonso Fernandez AU - Fernando Viadero AU - Mohamed Haddar TI - Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model JO - Comptes Rendus. Mécanique PY - 2021 SP - 241 EP - 258 VL - 349 IS - 2 PB - Académie des sciences, Paris DO - 10.5802/crmeca.80 LA - en ID - CRMECA_2021__349_2_241_0 ER -

%0 Journal Article %A Ala Eddin Chakroun %A Ahmed Hammami %A Ana De-Juan %A Fakher Chaari %A Alfonso Fernandez %A Fernando Viadero %A Mohamed Haddar %T Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model %J Comptes Rendus. Mécanique %D 2021 %P 241-258 %V 349 %N 2 %I Académie des sciences, Paris %R 10.5802/crmeca.80 %G en %F CRMECA_2021__349_2_241_0

Ala Eddin Chakroun; Ahmed Hammami; Ana De-Juan; Fakher Chaari; Alfonso Fernandez; Fernando Viadero; Mohamed Haddar. Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model. Comptes Rendus. Mécanique, Volume 349 (2021) no. 2, pp. 241-258. doi : 10.5802/crmeca.80. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.80/

[1] Calculation of the efficiency of worm gear drives, International Gear Conference 2014, Lyon, Woodhead Publishing Limited, 2014

[2] Effect of elastohydrodynamic film thickness on a wear model for worm gears, Proc. Inst. Mech. Eng. Part J J. Eng. Tribol., Volume 220 (2006) no. 3, pp. 295-306 | DOI

[3] Prediction of the wear pattern in worm gears, Wear, Volume 261 (2006) no. 5–6, pp. 666-673 | DOI

[4] Load and stress analysis of cylindrical worm gearing using tooth slicing method, Trans. Can. Soc. Mech. Eng., Volume 30 (2006) no. 1, pp. 97-111 | DOI

[5] Mathematical model and tooth surfaces of recess action worm gears with double-depth teeth, Mech. Mach. Theory, Volume 46 (2011) no. 12, pp. 1840-1853 | DOI

[6] Displacements in worm gears with grouns concave worm profile, Mech. Mach. Theory, Volume 31 (1996) no. 8, pp. 1131-1140 | DOI

[7] Wear damage to plastic worms and gears, Wear, Volume 44 (1977) no. 2, pp. 405-409 | DOI

[8] Load sharing of worm gear with a plastic wheel, J. Mech. Des., Volume 129 (2006) no. 1, pp. 23-30 | DOI

[9] Numerical and experimental study of the loaded transmission error of a worm gear with a plastic wheel, J. Mech. Des., Volume 130 (2008) no. 6, 062602

[10] Dynamics study and diagnostics with vibration analysis from worm gear manufactured by reverse engineering techniques, J. Vibroeng., Volume 18 (2016) no. 7, pp. 4458-4471 | DOI

[11] Parametric study of dynamics of worm and worm-gear set under suddenly applied rotating angle, J. Sound Vib., Volume 304 (2007) no. 1–2, pp. 246-262 | DOI

[12] The mesh property of the steel involute cylindrical worm with a plastic involute helical gear, J. Mech., Volume 30 (2014) no. 2, pp. 185-192 | DOI

[13] A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs, J. Mech. Des., Volume 129 (2007) no. 1, pp. 75-84 | DOI

[14] Effect of friction coefficients on the dynamic response of gear systems, Front. Mech. Eng., Volume 12 (2017) no. 3, pp. 397-405 | DOI

[15] Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission, Eur. J. Mech. A/Solids, Volume 27 (2008) no. 4, pp. 691-705 | DOI | Zbl

[16] Dynamic behaviour of a wind turbine gear system with uncertainties, C. R. Mec., Volume 344 (2016) no. 6, pp. 375-387 | DOI

[17] Numerical model of a single stage gearbox under variable regime, Mech. Based Des. Struct. Mach., Volume 50 (2020) | DOI

[18] Effect of elastic coupling on the modal characteristics of spur gearbox system, Appl. Acoust., Volume 144 (2019), pp. 71-84 | DOI

[19] Effects of eccentricity defect on the nonlinear dynamic behavior of the mechanism clutch-helical two stage gear, Mech. Mach. Theory, Volume 46 (2011) no. 7, pp. 986-997 | DOI | Zbl

[20] Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system, Mech. Mach. Theory, Volume 82 (2014), pp. 71-86 | DOI

[21] Dynamic behaviour of back to back planetary gear in run up and run down transient regimes, J. Mech., Volume 31 (2015) no. 4, pp. 481-491 | DOI

[22] 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, C. R. Mec., Volume 345 (2017) no. 12, pp. 807-823 | DOI

[23] Frequency analysis of a two-stage planetary gearbox using two different methodologies, C. R. Mec., Volume 345 (2017) no. 12, pp. 832-843 | DOI

[24] A model for the study of meshing stiffness in spur gear transmissions, Mech. Mach. Theory, Volume 61 (2013), pp. 30-58 | DOI | Zbl

[25] Study of a spur gear dynamic behavior in transient regime, Mech. Syst. Signal Process., Volume 25 (2011) no. 8, pp. 3089-3101 | DOI

[26] Modal analysis of back-to-back planetary gear: experiments and correlation against lumped-parameter model, J. Theor. Appl. Mech., Volume 53 (2015) no. 1, pp. 125-138 | DOI

[27] Planetary gear parametric instability caused by mesh stiffness variation, J. Sound Vib., Volume 249 (2002) no. 1, pp. 129-145 | DOI

*Cited by Sources: *

Comments - Policy