Control Power Calculation for Teeth of the Planetary Stage of a Gear Drive Using ANSYS Software Package

Power calculation of a planetary gear drive using ANSYS provides a detailed picture of the stress-stain state of all the engaged elements. The software allows the calculation to be considered from different viewpoints other than those offered by the classical method. The basic principle is that carburized teeth are structural elements with residual stresses, whose physical properties are determined by the material structure and geometry of the object. The residual stresses are added to the external load stresses. When performing the calculation, the teeth are considered to be bimetallic, that is having a carburized layer made of high strength material sensitive to stress concentrators, and a core made of medium strength material with low sensitivity to stress concentrators. The carburized layer is separated from the main part of the tooth by a zone of tensile stresses with no interface in between. Under the action of external loads, a weak point is formed at the foot of the tooth with the highest tensile stresses, which determine the allowable stresses at bending, depending on the strength of the carburized steel. The allowable contact load is estimated by shear stresses in the contact zone calculated as flexural endurance. The depth of the shear stress peak determines the minimum thickness of the carburization. The analysis of the stress-strain state of the planetary gear drive showed a significantly lower level of stresses in the helical gear. The prevailing stress state also changes in the contact wheels. The teeth of the satellites in both types of planetary gear drives are not loaded in a symmetrical cycle. For wheels with internal gearing, it is possible to use aluminum alloys as they satisfy the strength conditions.

References

[1] Karatushin S.I., Bil’diuk N.A., Pleshanova Iu.A., Bokuchava P.N. Proverochnyi silovoi raschet v ANSYS zubchatogo zatsepleniia [Checking calculations of stresses in gears using ANSYS]. Izvestiia vysshikh uchebnykh zavedenii. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2015, no. 3, pp. 27–34.

[2] Chernyshev G.N., Popov A.L., Kozintsev V.M. Poleznye i opasnye ostatochnye napriazheniia [Useful and harmful residual stresses]. Priroda [Nature]. 2002, no. 10, pp. 17–24.

[3] Din’ P.D. Razrabotka metodiki opredeleniia parametrov uprochneniia tsementatsiei zubchatykh koles pri remonte [Development of the method of determining the parameters of hardening carburizing gears for repair]. Molodoi uchenyi [Young scientist]. 2013, no. 8, pp. 85–88.

[4] Pavlov V.F. O naibol’shei velichine ostatochnykh napriazhenii v uprochnennykh detaliakh. Matematicheskoe modelirovanie i kraevye zadachi [On the greatest magnitude of residual stresses in the hardening of parts. Mathematical modeling and boundary problems]. Trudy 6 Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (1–4 iiunia 2009 g.) [6 Proceedings of the Scientific Conference with international participation (1–4 June 2009)]. Samara, 2009, pp. 186–189.

[5] Berendeev N.N. Primenenie sistemy ANSYS k otsenke ustalostnoi dolgovechnosti [Application of ANSYS to the estimation of fatigue life]. Nizhnii Novgorod, NGU im. N.I. Lobachevskogo publ., 2006. 83 p.

[6] Nadai A. Plastichnost’ i razrushenie tverdykh tel [Plasticity and fracture of solids]. Moscow, Mir publ., 1969, vol. 2, 864 p.

[7] Batista A.C., Dias A.M., Lebrun J.L., Le Flour J.C., Inglebert G. Contact fatigue of automotive gears: Evolution and effects of residual stresses introduced by surface treatments. Fatigue and Fracture of Engineering Materials and Structures, 2000, vol. 23, iss. 3, pp. 217–228.

[8] Dzhonson K. Mekhanika kontaktnogo vzaimodeistviia [Contact mechanics]. Moscow, Mir publ., 1989. 510 p.

[9] Ovsenko A.N., Serebriakov V.I., Gaek M.M. Tekhnologicheskoe obespechenie kachestva izdelii mashinostroeniia [Technological maintenance of quality engineering products]. Moscow, Ianus-K publ., 2003. 296 p.

[10] Kirpichev V.A., Bukatyi A.S., Filatov A.P., Chirkov A.V. Prognozirovanie predela vynoslivosti poverkhnostno uprochnennykh detalei pri razlichnoi stepeni kontsentratsii napriazhenii [Prediction of fatigue strength surface-hardened parts with different degrees of stress concentration]. Vestnik UGATU [Bulletin USATU]. 2011, vol. 15, no. 4(44), pp. 81–85.

[11] Alieva S.G., Al’tman M.B., Ambartsumian S.M., Anan’in S.M. Promyshlennye aliuminievye splavy: spravochnik [Industrial aluminum alloys: Directory]. Moscow, Metallurgiia publ., 1984. 528 p.