Mathematical Modeling of the Dynamics of a Two-Mass Gear System with Consideration of Shaft Compliances

Mikhail Kurushin; Valeriy Balyakin

doi:10.4028/www.scientific.net/AMM.770.343

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 770Mathematical Modeling of the Dynamics of a...

Mathematical Modeling of the Dynamics of a Two-Mass Gear System with Consideration of Shaft Compliances

Abstract:

Outlined in this study is an analytical solution of the problem of dynamic excitation of two-mass elastic system by parametric change in the stiffness of teeth during the meshing process with consideration of the compliance of shafts. It is shown that the main source of excitation in a gear system is the central pinion gear. Introduction of an optimal level of multi-pitch in the gear wheel lowers vibrations to minimum.

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Periodical:

Applied Mechanics and Materials (Volume 770)

Pages:

343-348

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.770.343

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Online since:

June 2015

Authors:

Mikhail Kurushin*, Valeriy Balyakin

Keywords:

Flexible Shaft, Gear Wheel, Rigidity, Tooth, Vibrations

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References

[1] M.A. Hotait, A. Kahraman, Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs, J. Mechanism and Machine Theory. 70 (2013) 116-128.

DOI: 10.1016/j.mechmachtheory.2013.07.006

Google Scholar

[2] Cheon-Jae Bahk, Robert G. Parker, Analytical investigation of tooth profile modification effects on planetary gear dynamics, J. Mechanism and Machine Theory. 70 (2013) 298-319.

DOI: 10.1016/j.mechmachtheory.2013.07.018

Google Scholar

[3] A. Fernández, M. Iglesias, A. de-Juan, P. García, R. Sancibrián, F. Viadero, Gear transmission dynamic: Effects of tooth profile deviations and support flexibility, J. Applied Acoustics. 77 (2014) 138-149.

DOI: 10.1016/j.apacoust.2013.05.014

Google Scholar

[4] R.W. Cornell, W.W. Westervelt , Dinamic Tooth Loads and Stressing for High Contact Ratio Spur Gears, ASME, Series B. 100 (1) (1978) 70-79.

DOI: 10.1115/1.3453897

Google Scholar

[5] Siyu Chen, Jinyuan Tang, Lijuan Wu, Dynamics analysis of a crowned gear transmission system with impact damping: Based on experimental transmission error, J. Mechanism and Machine Theory. 74 (2014)354-369.

DOI: 10.1016/j.mechmachtheory.2014.01.003

Google Scholar

[6] Tao Sun, HaiYan Hu, Nonlinear dynamics of a planetary gear system with multiple clearances, J. Mechanism and Machine Theory. 38(12) (2003)1371-1390.

DOI: 10.1016/s0094-114x(03)00093-4

Google Scholar

[7] Yassine Driss, Ahmed Hammami, Lassaad Walha, Mohamed Haddar, Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system, J. Mechanism and Machine Theory. 82 (2014)71-86.

DOI: 10.1016/j.mechmachtheory.2014.07.013

Google Scholar

[8] M.A. Hotait, A. Kahraman, Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs, J. Mechanism and Machine Theory. 70 (2013) 116-128.

DOI: 10.1016/j.mechmachtheory.2013.07.006

Google Scholar

[9] Yongjun Shen, Shaopu Yang, Xiandong Liu, Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method, J. International Journal of Mechanical Sciences. 48 (11) (2006)1256-1263.

DOI: 10.1016/j.ijmecsci.2006.06.003

Google Scholar

[10] Xinghui Qiu, Qinkai Han, Fulei Chu, Analytical investigation on unstable vibrations of single-mesh gear systems with velocity-modulated time-varying stiffness, J. Journal of Sound and Vibration, 333( 20, 29) (2014) 5130-5140.

DOI: 10.1016/j.jsv.2014.05.041

Google Scholar