Optimization of two-speed planetary gearbox with brakes on single shafts
DOI:
https://doi.org/10.31181/rme2001280122mKeywords:
Two-speed planetary gear trains, Transmission ratio, Brakes on single shaft, Multicriteria optimization.Abstract
This paper deals with configurations of complex planetary gear trains consisting of two planetary gear trains of basic type. These gear trains are formed by linking shafts from different component gearsets and contain two carriers, and therefore designated as two-carrier planetary gear trains with four external and two coupled shafts. The structural configurations are pointed out, and additional research has been made into gear trains using coupled external shafts for torque input and output, with the controlling brakes acting on single external shafts. The kinematic schemes have been created for all analyzed PGT variants, and the available transmission ratio ranges calculated for both speeds. The transmission ratio is changed by alternating the activation of each brake, enabling their use as transmissions with two transmission ratios in transportation technology and other engineering applications. Extreme transmission ratio changes have been determined for each analyzed PGT design solution. Also, relations of ideal torque ratios to the required transmission ratios of component planetary gear trains for both speeds have been calculated. These relations enable the selection of compound gear train designs which will achieve the required pair of transmission ratios. The optimal design parameters for the adopted configuration were determined, and the optimal transmission solution for the given input data selected.
References
Arnaudov, K., Genova, P., Dimitrov, L. (2005). For a unified and correct IFToMM terminology in the area of gearing. Mechanism and Machine Theory, 40(9), 993-1001.
Arnaudov, K., Karaivanov, D. (2001). Engineering analysis of the coupled two-carrier planetary gearing through the lever analogy. Proceedings of the International Conference on Mechanical Transmissions, Chongqing, China, China Machine Press, April 5–9, 2001, 44-49.
Arnaudov, K., Karaivanov, D. (2005). Higher Compound Planetary Gear Trains. VDI – Berichte 1904- 1, pp. 327-344.
Arnaudov, K., Karaivanov, D. (2013). The torque method used for studying coupled two-carrier planetary gear trains. Transactions of FAMENA, 37(1), 49-61.
Arnaudov, K., Karaivanov, D. (2013). Alternative Method for Analysis of Complex Compound Planetary Gear Trains: Essence and Possibilities. In G. Dobre & M. R. Vladu (Eds.), Power Transmissions, Proceedings of the 4th International Conference on Power Transmissions, June 20-23, 2012, Sinaia, Romania, (pp. 3-20). Heidelberg: Springer.
Arnaudow, K., Karaivanov, D. (2005). Systematics, properties, and possibilities of multicarrier compound planetary gear trains (in German). Antriebstechnik, 5, 58-65.
Čabala, J, Jadlovsky, J. (2020). Choosing the Optimal Production Strategy by Multi-Objective Optimization Methods. Acta Polytechnica hungarica, 17(5), 7-25.
Daoudi, K., Boudi, E. M., Abdellah, M. (2019). Genetic Approach for Multiobjective Optimization of Epicyclical gear Train. Hindawi Mathematical Problems in Engineering, 19, Article ID 9324903, https://doi.org/10.1155/2019/9324903.
International organization for standardization (ISO), (2006). ISO 6336:2006, Calculation of load capacity of spur and helical gears. Geneve: International organization for standardization.
Jelaska, D. T. (2012). Gears and Gear Drives. Chichester: Wiley & Sons.
Karaivanov, D., Troha, S. (2006). Examining the possibilities for using coupled two-carrier planetary gears in two-speed mechanical transmissions. Machinebuilding and electrical engineering, 5-6, 124-127.
Kudriavtsev, V. N., Kirdyiashev, I. N. (1977). Planetary Gears Handbook. Leningrad: Mashinostroenie, Leningrad.
Lechner, G., Naunheimer, H. (1999). Automotive Transmissions. Heidelberg: Springer-Verlag.
Merritt, H. E. (1947). Gear Trains. London: Sir Isaac Pitman & Sons, Ltd.
Niemann, G., Winter, H. (1989). Machine elements, Volume 2: Overview of gear transmissions, Gearing basics, Spur gears (in German), 2nd completely reworked edition. Berlin: Springer-Verlag.
Stefanović-Marinović, J. (2008). Multicriterion optimization of planetary power transmission gear pairs (in Serbian), PhD Thesis. Niš: University of Niš, Faculty of Mechanical Engineering.
Stefanović-Marinović, J., Petković, M., Stanimirović, I., Milovančević: M. (2011). A Model of Planetary Gear Multicriteria Optimization. Transactions of FAMENA, 35(4), 21-34.
Stefanović-Marinović, J., Troha, S., Milovančević, M. (2017). An Application of Multicriteria Optimization to the Two-Carrier Two-Speed Planetary Gear Trains. FACTA UNIVERSITATIS Series: Mechanical Engineering, 15(1), 85-95.
Tkachev, A., Goldfarb, V. (2009). The concept of optimal design for spur and helical gears. Proceedings of the 3rd International Conference Power Transmissions 2009. Kallithea, Greece, 59-62.
Troha, S. (2011). Analysis of a planetary change gear train's variants (in Croatian), PhD Thesis. Rijeka: Faculty of Engineering – University of Rijeka.
Troha, S., Lovrin, N., Milovančević, M. (2012). Selection of the two–carrier shifting planetary gear train controlled by clutches and brakes. Transactions of FAMENA, 36(3), 1-12.
Troha, S., Stefanović-Marinović, J., Vrcan, Ž., Milovančević, M. (2020). Selection of the optimal two-speed planetary gear train for fishing boat propulsion. FME Transactions, 48(2), 397-403. doi:10.5937/fme 2002397T
Troha, S., Vrcan, Ž., Karaivanov, D., Isametova, M (2020): The Selection of Optimal Reversible Two-speed Planetary Gear Trains for Machine Tool Gearboxes. FACTA UNIVERSITATIS Series: Mechanical Engineering, 18(1), 121 – 134.
Troha, S., Žigulić, R., Karaivanov, D. (2014). Kinematic Operating Modes of Two-Speed Two-Carrier Planetary Gear Trains with four External Shafts. Transactions of FAMENA, 38(1), 63-76.
Tudose, L., Buiga, O., Jucan, D., Stefanache, C. (2008). Multi-objective optimization in helical gears design, Proceedings of the Fifth International Symposium about Design in Mechanical Engineering KOD 2008. Novi Sad, Serbia, Faculty of Technical Sciences, 77-84.
