Abstract
The study results of the ratio partitioning effect for the total gear ratio of a modified two-stage coaxial gearbox in steps on its maximum overall size are presented. The design modification of this gearbox is based on the use of cylindrical gears with forked power flows in both of its stages. It is shown that, in comparison with the traditional analog of this gearbox type, the modified version will have a shorter center distance. Minimization of the overall length for the modified gearbox is made for a two-parameter function of the gearbox total gear ratio using the Lagrange method. The results obtained are presented in tabular form and are also approximated by a power function. Limitations on the applicability of the proposed method for partitioning the gear ratio of the gearbox are given. Gearboxes with this modification have a lower material consumption in comparison with gearboxes of this type, ceteris paribus.
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References
GOST 20373-94 (1996) Interstate standard. Gearboxes and gear motors. Options. Publishing House of Standards, Moscow
Reshetov DN, Gusenkov AP, Drozdov YN (1995) In: Reshetov DN (ed) Mechanical engineering, encyclopedia, Machine parts structural strength friction wear lubrication. vol. IV-1. Mechanical Engineering, Moscow
Ivanov KYa, Galibey NI (2010) Gear two-stage gearboxes the choice of the optimal scheme. J Bull Siberian State Univ named after M.F. Reshetnov 1(27):45–49
Tudose L, Buiga O, Jucan D, Stefanache C (2008) Optimal design of two stage gear reducer using two-phase evolutionary algorithm. Internet J Mechanics 2(3):55–66
Sundhararajan M, Gao X-Z, Nejad HV (2018) Based on ANSYS crown tapered rolling bearings dynamic simulation analysis. J Intell Fuzzy Syst 34(2):1121–1131
Shevchenko S, Mukhovaty A, Krol O (2016) Geometric aspects of modifications of tapered roller bearings. Procedia Eng 150:1107–1112. https://doi.org/10.1016/j.proeng.2016.07.07.221
Shevchenko S, Mukhovaty A, Krol O (2017) Gear clutch with modified tooth profiles. Procedia Eng 206:979–984. https://doi.org/10.1016/j.proeng.2017.10.5.581
Krol O, Sokolov V (2019). Parametric modeling of gear cutting tools. In: Advances in manufacturing II. Lecture notes in mechanical engineering, vol 4, Springer, Cham, pp 3–11 https://doi.org/10.1007/978-3-030-16943-5_1
Patel N, Gupta T, Wankhede A, Wakudkar V (2017) Design and Optimization of 2-Stage Reduction Gearbox. Int J Eng Dev Res 5(2):541–552. https://doi.org/10.3233/JIFS-169406
Bartlett HL, Lawson BE, Goldfarb M (2018) On the design of power gear trains: Insight regarding number of stages and their respective ratios. PLoS ONE 13(6):e0198048. https://doi.org/10.1371/journal.pone.0198048
Shevchenko SV, Mukhovaty OA, Krol OS (2019) Two-stage coaxial gearbox Patent of Ukraine 135044, 11, 10 Jun 2019
Sokolov V, Krol O, Stepanova O (2020) Choice of correcting link for electrohydraulic servo drive of technological equipment. In: Advances in design, simulation and manufacturing II. DSMIE 2019. Lecture notes in mechanical engineering, Springer, Cham, pp 702–710. https://doi.org/10.1007/978-3-030-22365-6_70
Krol O, Sokolov V (2019) Parametric modeling of transverse layout for machine tool gearboxes. In: Advances in manufacturing II. Lecture notes in mechanical engineering, vol 4, pp 122–130. https://doi.org/10.1007/978-3-030-16943-5_1114
Reshetov DN (1989) Details of machines. mechanical engineering, Moscow
Korn G, Korn T (1970) Handbook of mathematics Nauka, Moscow
Moiseev NN (1978) Optimization methods. Nauka, Moscow
Andrienko LA, Baykov BA, Ganulich IK et al (2004) In: Ryakhovsky OA (ed) Machine parts: textbook for high schools, NE Bauman Publishing House of MSTU, Moscow
Chernavsky SA, Snesarev GA, Kozintsov BS et al (1984) Design of mechanical gears. mechanical engineering, Moscow
Reshetov DN, Shuvalov SA, Dudko VD et al (1985) In: Reshetov DN, Shuvalov SA (eds) Calculation of machine parts on a computer. Textbook, Higher school, Moscow
Zhukov KP, Kuznetsov AK, Maslennikov SI et al (1978) Calculation and design of machine parts: Textbook. In: Shuvalov SA (ed) Stolbin GB. Higher school, Moscow
Chernavsky SA, Itskovich GM, Kiselev VA et al (1976) In: Chernavsky SA (ed) Design of mechanical gears: Ttextbook, Mechanical Engineering, Moscow
Pronikov AS, Borisov EI, Bushuev VV et al (1995) In: Pronikov AS (ed) Design of metal-cutting machine tools and machine systems: handbook-textbook, vol 2/1. Publishing House of NE Bauman MSTU, Moscow
Feodosiev VI (1970) Resistance of materials. Nauka, Moscow
GOST 25301-95 (2000) Interstate standard. Cylindrical reducers. Options, Publishing House of Standards, Moscow
Sokolov V, Rasskazova Y (2016) Automation of control processes of technological equipment with rotary hydraulic drive. Eastern-Eur J Enterp Technol 2(80):44–50. https://doi.org/10.15587/1729-4061.2016.63711
Sokolov V (2019) Diffusion of circular source in the channels of ventilation systems. In: Advances in engineering research and application. ICERA 2018. Lecture notes in networks and systems, vol 63, Springer, Cham, pp 278–283.https://doi.org/10.1007/978-3-030-04792-4_37
Adler YuP, Markova EV, Granovsky YuV (1976) Planning an experiment in the search for optimal conditions, 2nd edn. Nauka, Moscow
Sobol IN, Statnikov RB (1981) Selection of optimal parameters in problems with many criteria. Science, Moscow
Sokolov V (2020) Transfer functions for shearing stress in nonstationary fluid friction. In: Proceedings of the 5th international conference on industrial engineering. ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham, pp 707–715. https://doi.org/10.1007/978-3-030-2241-9_76
Wild D (1981) Optimal Design Mir, Moscow
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Shevchenko, S., Mukhovaty, A., Krol, O. (2021). Modification of Two-Stage Coaxial Gearbox. In: Radionov, A.A., Gasiyarov, V.R. (eds) Proceedings of the 6th International Conference on Industrial Engineering (ICIE 2020). ICIE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-54814-8_4
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