Nonlinear torsional instabilities in two-stage gear systems with flexible shafts

Z. Rao; C. Y. Zhou; Z. H. Deng; M. Y. Fu

doi:10.1016/j.ijmecsci.2014.02.021

Nonlinear torsional instabilities in two-stage gear systems with flexible shafts

Z. Rao, C. Y. Zhou^*, Z. H. Deng, M. Y. Fu

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

The present paper is focused on the torsional instabilities in a two stage gear system. A theoretical model is established taking account the torsional flexibility of the shafts and the meshing time-varying stiffness of the gears. Multiple scale method is applied to analyse the instability areas of the gear system for which the generalized modal coordinate is adopted. The result is verified by numerical calculations of the dynamic equations by Runge-Kutta method.

Original language	English
Pages (from-to)	60-66
Number of pages	7
Journal	International Journal of Mechanical Sciences
Volume	82
DOIs	https://doi.org/10.1016/j.ijmecsci.2014.02.021
Publication status	Published - May 2014

Keywords

Multi-scales method
Nonlinear vibration
Stability
Two-stage gear

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10.1016/j.ijmecsci.2014.02.021

Cite this

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title = "Nonlinear torsional instabilities in two-stage gear systems with flexible shafts",

abstract = "The present paper is focused on the torsional instabilities in a two stage gear system. A theoretical model is established taking account the torsional flexibility of the shafts and the meshing time-varying stiffness of the gears. Multiple scale method is applied to analyse the instability areas of the gear system for which the generalized modal coordinate is adopted. The result is verified by numerical calculations of the dynamic equations by Runge-Kutta method.",

keywords = "Multi-scales method, Nonlinear vibration, Stability, Two-stage gear",

author = "Z. Rao and Zhou, {C. Y.} and Deng, {Z. H.} and Fu, {M. Y.}",

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AU - Rao, Z.

AU - Zhou, C. Y.

AU - Deng, Z. H.

AU - Fu, M. Y.

PY - 2014/5

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N2 - The present paper is focused on the torsional instabilities in a two stage gear system. A theoretical model is established taking account the torsional flexibility of the shafts and the meshing time-varying stiffness of the gears. Multiple scale method is applied to analyse the instability areas of the gear system for which the generalized modal coordinate is adopted. The result is verified by numerical calculations of the dynamic equations by Runge-Kutta method.

AB - The present paper is focused on the torsional instabilities in a two stage gear system. A theoretical model is established taking account the torsional flexibility of the shafts and the meshing time-varying stiffness of the gears. Multiple scale method is applied to analyse the instability areas of the gear system for which the generalized modal coordinate is adopted. The result is verified by numerical calculations of the dynamic equations by Runge-Kutta method.

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KW - Nonlinear vibration

KW - Stability

KW - Two-stage gear

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JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

Nonlinear torsional instabilities in two-stage gear systems with flexible shafts

Abstract

Keywords

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