Forced Vibrations of Planetary Gears with Elements of the Increased Flexibility

Authors

  • I. A. Pushkarev Kalashnikov ISTU

DOI:

https://doi.org/10.22213/2413-1172-2021-4-102-108

Keywords:

planetary gear, flexibility of elements, dynamic, vibrations

Abstract

The paper continues the research of dynamics of planetary gears with elements of the increased flexibility. The ba-sis for the analytical model and input equations is the system of nine differential equations of dynamics of the plane-tary mechanism received earlier. In the generalized forces the engine moment, the moment caused by torsion of an elastic shaft of a sun gearwheel, and elastic forces in meshing of gearwheels and on satellites axes are considered. The planetary carrier’s speed is assumed to be constant. The rigidity of the axle of the satellite in the tangential di-rection considerably exceeds the rigidity of the axle in the radial direction, therefore, the displacement in the tangen-tial direction is absent. The moment of the engine changes under the harmonious law. In this case forced vibrations of a sun gearwheel and the satellite can be considered separately from forced vibrations of the satellite in the radial di-rection owing to flexibility of the satellite axle. Amplitude-frequency characteristics of these oscillations are con-structed. Characteristics of vibration processes are expressed through mass-dimensional, kinematic and strength parameters of the planetary gear taking into account flexibility of its elements. Influence of the relative height of the flexible axle section, gear ratio of the mechanism and module of gearing on the amplitude of forced vibrations and the position of the resonance area is investigated. Conclusions are drawn on limits of variation of these parameters and their influences on the structure of planetary gears.

Author Biography

I. A. Pushkarev, Kalashnikov ISTU

Post-graduate

References

Bostan I., Dulgheru V., Ciobanu R. Elaboration and research of planetary precessional multiplier type k-h-v. Proc. 7th International Conference on Advanced Concepts in Mechanical Engineering, 2016, p. 012002. DOI: 10.1088/1757-899X/147/1/012002.

Trubachev E., Savelyeva T., Pushkareva T. Practice of designe and production of worm gears with localized contact. Mechanisms and Machine Science, 2018, vol. 51, pp. 327-343. DOI: 10.1007/978-3-319-60399-5.

Wehrle E., Palomba I., Vidoni R. In-Operation Structural Modification of Planetary Gear Sets Using Design Optimization Methods. Proc. 4th IFToMM Symposium on Mechanism Design for Robotics (January 2019), pp. 395-405. DOI: 10.1007/978-3-030-00365-4_47.

Plekhanov F., Goldfarb V. Rational designs of planetary transmission, geometry of gearing and strength parameters. Mechanisms and Machine Science, 2016, vol. 34, pp. 285-300. DOI: 10.1007/978-3-319-19740-1_13.

Plekhanov F.I., Vychuzhanina E.F., Pushkarev I.A., Suntsov A.S. [Investigation of loading distribution in tooth contact of multi-row planetary gears and its influence on overall economics of the drive]. Vestnik IzhGTU imeni M. T. Kalashnikova, 2017, vol. 20, no. 2, pp. 29-35 (in Russ.). DOI: 10.22213/2413-1172-2017-2-29-35.

Plekhanov F.I., Kuznetsov V.S. Deformability of elements of planetary transmission. Russian Engineering Research, 2010, vol. 30, no. 6, pp. 557-560. DOI: 10.3103_s1068798x10060055.

Plekhanov F.I. Influence of gear deformability in a planetary transmission on the load distribution in tooth engagement. Russian engineering research, 2015, vol. 35, no. 7, pp. 485-488. DOI: 10.3103/S1068798X17120164.

Plekhanov F.I. Deformability of units of a planetary gear and its effect on load distribution in gear meshes. Journal of Machinery Manufacture and Reliability, 2015, vol. 44, no. 3, pp. 227-231. DOI: 10.3103/S1068798X17120164.

Plekhanov F., Goldfarb V., Vychuzhanina E. Load distribution in meshing of planetary gearwheels and its influence on the technical and economic performance of the mechanism. Mechanisms and Machine Science, 2018, vol. 51, pp. 117-137. DOI: 10.1007/978-3-319-60399-5.

Plekhanov F.I., Ovsyannikov A.V. Load capacity of planetary transmission with internal gear engagemen. Russian Engineering Research, 2011, vol. 31, no. 9, pp. 825-827. DOI: 10.3103/S1068798X11090218.

Plekhanov F., Pushkarev A., Pushkarev I. Influence of layout features and parameters of planetary gear on its dynamics and strength characteristics. Mechanisms and Machine Science, 2018, vol. 51, pp. 481-494. DOI: 10.1007/978-3-319-60399-5.

Zhang A., Wei J., Qin D., Qin D. Analytical coupling characterization of multi-stage planetary gear free vibration considering flexible structure. Journal of Vibroengineering, October 2017, 19 (6). DOI: 10.21595/ jve.2017.17767.

Nikolic-Stanojevic V., Dolicanin C., Veljovic L. A new model of the fractional order dynamics of the planetary gears. Mathematical Problems in Engineering, 2013, vol. 2013, pp. 932150. DOI: 10.1115/1.4002392.

Zhou W., Zuo Y., Zheng M. Analysis and Optimization of the Vibration and Noise of a Double Planetary Gear Power Coupling Mechanism. Shock and Vibration, 2018 (2):1-13. November 2018. DOI: 10.1155/ 2018/9048695.

Shao Y. The relationship between the engaging force of planetary gear train and the position correlated modal properties. The Journal of Engineering, October 2018. DOI: 10.1049/joe.2018.8964.

Li S., Wu Q., Zhang Z. Bifurcation and chaos analysis of multistage planetary gear train. Nonlinear Dynamics, January 2014, 75(1-2). DOI: 10.1007/s11071-013-1060-z.

Batinic V.J. Planetary gear dynamic response to mesh. Vojnotehnicki glasnik, 2013, vol. 61, no. 1, pp. 58-68. DOI: 10.5937/vojtehg61-2006.

Grabsky A.A., Plekhanov F.I., Kantovich L.I., Pushkarev I.A. [Loading and deformability of multi-satellite planetary gear trains of mine shovels]. Gornyi zhurnal, 2018, no. 4, pp. 82-86 (in Russ.). DOI: 10.17580/gzh.2018.04.15.

Pushkarev I.A. [Modeling of dynamics of planetary gears with elements of the increased flexibility]. Vestnik IzhGTU imeni M. T. Kalashnikova, 2018, vol. 21, no. 2, pp. 43-48 (in Russ.). DOI: 10.22213/2413-1172-2018-2-43-48.

Pushkarev I.A. [Modeling of dynamics of planetary gears with elements of the increased flexibility]. Vestnik IzhGTU imeni M. T. Kalashnikova, 2018, vol. 21, no. 2, pp. 43-48 (in Russ.). DOI: 10.22213/2413-1172-2018-2-43-48.

Plekhanov F., Pushkarev A., Pushkarev I. Influence of layout features and parameters of planetary gear on its dynamics and strength characteristics. Mechanisms and Machine Science, 2018, vol. 51, pp. 481-494. DOI: 10.1007/978-3-319-60399-5.

Plekhanov F.I., Suntsov A.S., Molchanov S.M. Influence of planetary-gear structure on the load distribution. Russian Engineering Research, 2017, vol. 37, no. 12, pp. 1028-1032. DOI: 10.3103/S1068798X17120164.

Published

21.12.2021

How to Cite

Pushkarev И. А. (2021). Forced Vibrations of Planetary Gears with Elements of the Increased Flexibility. Vestnik IzhGTU Imeni M.T. Kalashnikova, 24(4), 102–108. https://doi.org/10.22213/2413-1172-2021-4-102-108

Issue

Section

Articles