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Nonlinear dynamics of a multistage gear transmission system with multi-clearance

Nonlinear dynamics of a multistage gear transmission system with multi-clearance
Nonlinear dynamics of a multistage gear transmission system with multi-clearance

The nonlinear torsional model of a multistage gear transmission system which consists of a planetary gear and two parallel gear stages is established with time-varying meshing stiffness, comprehensive gear error and multi-clearance. The nonlinear dynamic responses are analyzed by applying the reference of backlash bifurcation parameters. The motions of the system on the change of backlash are identified through global bifurcation diagram, largest Lyapunov exponent (LLE), FFT spectra, Poincaré maps, the phase diagrams and time series. The numerical results demonstrate that the system exhibits rich features of nonlinear dynamics such as the periodic motion, nonperiodic states and chaotic states. It is found that the sun-planet backlash has more complex effect on the system than the ring-planet backlash. The motions of the system with backlash of parallel gear are diverse including some different multi-periodic motions. Furthermore, the state of the system can change from chaos into quasi-periodic behavior, which means that the dynamic behavior of the system is composed of more stable components with the increase of the backlash. Correspondingly, the parameters of the system should be designed properly and controlled timely for better operation and enhancing the life of the system.

backlash, bifurcation, chaos, nonlinear dynamics, Planetary gear transmission
0218-1274
Xiang, Ling
cfed6f15-f24a-4510-a881-bd62f7fa60cb
Zhang, Yue
5fe8caa6-e91e-4498-9bb6-398780b51016
Gao, Nan
deebdbe3-1eb0-41ed-90d4-7f7cc9122818
Hu, Aijun
a51ee121-02d4-44c5-922b-5722aeb9eab0
Xing, Jingtang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xiang, Ling
cfed6f15-f24a-4510-a881-bd62f7fa60cb
Zhang, Yue
5fe8caa6-e91e-4498-9bb6-398780b51016
Gao, Nan
deebdbe3-1eb0-41ed-90d4-7f7cc9122818
Hu, Aijun
a51ee121-02d4-44c5-922b-5722aeb9eab0
Xing, Jingtang
d4fe7ae0-2668-422a-8d89-9e66527835ce

Xiang, Ling, Zhang, Yue, Gao, Nan, Hu, Aijun and Xing, Jingtang (2018) Nonlinear dynamics of a multistage gear transmission system with multi-clearance. International Journal of Bifurcation and Chaos, 28 (3), [1850034]. (doi:10.1142/S0218127418500347).

Record type: Article

Abstract

The nonlinear torsional model of a multistage gear transmission system which consists of a planetary gear and two parallel gear stages is established with time-varying meshing stiffness, comprehensive gear error and multi-clearance. The nonlinear dynamic responses are analyzed by applying the reference of backlash bifurcation parameters. The motions of the system on the change of backlash are identified through global bifurcation diagram, largest Lyapunov exponent (LLE), FFT spectra, Poincaré maps, the phase diagrams and time series. The numerical results demonstrate that the system exhibits rich features of nonlinear dynamics such as the periodic motion, nonperiodic states and chaotic states. It is found that the sun-planet backlash has more complex effect on the system than the ring-planet backlash. The motions of the system with backlash of parallel gear are diverse including some different multi-periodic motions. Furthermore, the state of the system can change from chaos into quasi-periodic behavior, which means that the dynamic behavior of the system is composed of more stable components with the increase of the backlash. Correspondingly, the parameters of the system should be designed properly and controlled timely for better operation and enhancing the life of the system.

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More information

Accepted/In Press date: 1 March 2018
e-pub ahead of print date: 12 April 2018
Keywords: backlash, bifurcation, chaos, nonlinear dynamics, Planetary gear transmission

Identifiers

Local EPrints ID: 420177
URI: http://eprints.soton.ac.uk/id/eprint/420177
ISSN: 0218-1274
PURE UUID: c652c99c-a074-4773-817d-f1cfbefe8081

Catalogue record

Date deposited: 01 May 2018 16:30
Last modified: 13 Mar 2019 18:32

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