Structural Analysis of a Planetary Gear Mechanism with Two Floating Links

Design of modern mechanisms and machines is a very complex and multifaceted process. One of the first steps in this process is structural analysis of mechanisms, followed by kinematic, dynamic, kinetostatic and other types of analyses. In modern mechanical engineering, designers are faced with tasks that require creating fundamentally new and complex 3D mechanisms. At the same time, numerous mechanisms have redundant links that cause considerable problems to engineers. These mechanisms involve manufacturing high-precision parts that increases the cost of the machine and, occasionally, makes machine assembly impossible. Redundant links reduce bearing capacity and efficiency of the machine, and increase its dimensions and weight. Therefore, the problem of creating machines without redundant links draws attention of a large number of engineers. The authors conducted a structural analysis of a planetary gear mechanism using the method of graphs, which made it possible to formalize and study the structural model based on the theory of graphs.

References

[1] Reshetov L.N. Samoustanavlivaiushchiesia mekhanizmy: spravochnik [Self-aligning mechanisms: a handbook]. Moscow, Mashinostroenie publ., 1991. 288 p.

[2] Volkov D.P., Krainev A.F. Transmissii stroitel’nykh i dorozhnykh mashin. Spravochnoe posobie [Transmission construction and road machines. Handbook]. Moscow, Mashinostroenie publ., 1974. 424 p.

[3] Konstruirovanie mashin: Spravochno-metodicheskoe posobie [Design of machines: a reference handbook]. Ed. Frolov K.V. In 2 vol. Vol. 1. Moscow, Mashinostroenie publ., 1994. 528 p.

[4] Reshetov L.N. Samoustanavlivaiushchiesia mekhanizmy. Spravochnik [Self-aligning mechanisms: a handbook]. Moscow, Mashinostroenie publ., 1979. 924 p.

[5] Timofeev G.A., Martynova A.V. Razrabotka strukturnoi skhemy samoustanavlivaiushcheisia volnovoi peredachi s diskovym generatorom voln [Development of the structural scheme of the self-setting wave gear with disc wave generator]. Pod"emno-transportnoe delo [Lift and transportation engineering]. 2015, no. 3(81), pp. 7–12.

[6] Smeliagin A.I., Babenko E.V. Strukturnyi analiz mekhanizmov i mashin metodom grafov [Structural analysis of mechanisms and machines by the method of graphs]. Problemy mekhaniki sovremennykh mashin. Materialy tret’ei mezhdunarodnoi konferentsii [Problems of mechanics of modern machines. Materials of the third international conference]. 2006, Ulan-Ude, Vostochno-Sibirskii gosudarstvennyi universitet tekhnologii i upravleniia publ., pp. 38–39.

[7] Timofeev G.A., Samoilova M.V. Ispol’zovanie metoda grafov v strukturnom analize planetarno-volnovogo mekhanizma [Application of Method of Graphs for Structural Analysis of Planetary and Wave Mechanism]. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie [Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering]. 2010, no. 2, pp. 3–14.

[8] Timofeev G.A., Samoilova M.V. Geometro-kinematicheskoe issledovanie kombinirovannogo planetarno-volnovogo mekhanizma [Geometric-Kinematic Study of Combined Planetary-Wave Mechanism]. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie [Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering]. 2012, no. 1, pp. 71–81.

[9] Krainev A.F. Mekhanika mashin. Fundamental’nyi slovar’ [Mechanics of machines. Fundamental dictionary]. Moscow, Mashinostroenie publ., 2000. 904 p.

[10] Pivovarov A.O. Razrabotka konstruktsii planetarnoi peredachi bez izbytochnykh sviazei [Development of the construction of planetary gearwithout redundant links]. Fundamental’nye issledovaniia [Fundamental research]. 2013, no. 6–3, pp. 556–560.

[11] Ershov Iu.V., Kireev S.O., Kovalev V.N. Strukturnyi sintez i analiz planetarnoi peredachi K-H-V s promezhutochnymi telami kacheniia [The Structural Analysis and Synthesis of Planetary Transfer К-Н-V with Intermediate Rollers]. Izvestiia vysshikh uchebnykh zavedenii. Severo-Kavkazskii Region. Seriia tekhnicheskie nauki [University news. North-Caucasian Region. Technical Sciences Series]. 2008, no. 6, pp. 38–40.

[12] Timofeev G.A. Investigation of the Structure of a Wave Gear with an External Deformation Wave Generator. Journal of Machinery Manufacture and Reliability, 2016, vol. 45, no. 3, pp. 191–198.

[13] Ermak V.N. Novyi metod vyiavleniia i ustraneniia izbytochnykh sviazei v mnogokonturnykh mekhanizmakh [New method to reveal and eliminate redundant constraints in multicircuit mechanisms]. Izvestiia vysshikh uchebnykh zavedenii. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2012, no. 1, pp. 18–23.