Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

Wei Liu; Kai Shi; Valerii Tupolev; Guangbin Yu; Bing Dai

doi:10.1007/s12206-021-1206-8

Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

Wei Liu^*
, Kai Shi
, Valerii Tupolev
, Guangbin Yu
, Bing Dai

^*Corresponding author for this work

Northeast Forestry University
School of Mechatronics Engineering, Harbin Institute of Technology
Harbin University

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

8 Scopus citations

Abstract

In this paper, nonlinear dynamics of two-stage planetary gear (TSPG) system with elastic ring gear and sliding friction are studied to extend previous study. Compared with the present literatures, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. This study mainly focus on the investigation of the effect of sliding friction and ring’s elasticity on the nonlinear behavior through the previous elastic TSPG model. Time-varying mesh stiffness formulas including sliding friction and nonlinearity backlash are derived to compare the bifurcation diagrams and vibration response. Numerical examples show interesting behaviors for the TSPG model including sliding friction and elastic component in comparison with the lumped parameter model.

Original language	English
Pages (from-to)	77-85
Number of pages	9
Journal	Journal of Mechanical Science and Technology
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s12206-021-1206-8
State	Published - Jan 2022
Externally published	Yes

Keywords

Bifurcation curve
Elastic ring gear
Nonlinear dynamic
Planetary gear
Sliding friction

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10.1007/s12206-021-1206-8

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title = "Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear",

abstract = "In this paper, nonlinear dynamics of two-stage planetary gear (TSPG) system with elastic ring gear and sliding friction are studied to extend previous study. Compared with the present literatures, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. This study mainly focus on the investigation of the effect of sliding friction and ring{\textquoteright}s elasticity on the nonlinear behavior through the previous elastic TSPG model. Time-varying mesh stiffness formulas including sliding friction and nonlinearity backlash are derived to compare the bifurcation diagrams and vibration response. Numerical examples show interesting behaviors for the TSPG model including sliding friction and elastic component in comparison with the lumped parameter model.",

keywords = "Bifurcation curve, Elastic ring gear, Nonlinear dynamic, Planetary gear, Sliding friction",

author = "Wei Liu and Kai Shi and Valerii Tupolev and Guangbin Yu and Bing Dai",

note = "Publisher Copyright: {\textcopyright} 2022, The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = jan,

doi = "10.1007/s12206-021-1206-8",

language = "英语",

volume = "36",

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journal = "Journal of Mechanical Science and Technology",

issn = "1738-494X",

publisher = "Korean Society of Mechanical Engineers",

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TY - JOUR

T1 - Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

AU - Liu, Wei

AU - Shi, Kai

AU - Tupolev, Valerii

AU - Yu, Guangbin

AU - Dai, Bing

PY - 2022/1

Y1 - 2022/1

N2 - In this paper, nonlinear dynamics of two-stage planetary gear (TSPG) system with elastic ring gear and sliding friction are studied to extend previous study. Compared with the present literatures, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. This study mainly focus on the investigation of the effect of sliding friction and ring’s elasticity on the nonlinear behavior through the previous elastic TSPG model. Time-varying mesh stiffness formulas including sliding friction and nonlinearity backlash are derived to compare the bifurcation diagrams and vibration response. Numerical examples show interesting behaviors for the TSPG model including sliding friction and elastic component in comparison with the lumped parameter model.

AB - In this paper, nonlinear dynamics of two-stage planetary gear (TSPG) system with elastic ring gear and sliding friction are studied to extend previous study. Compared with the present literatures, the majority of previous works modeled ring gear as a rigid body and completely ignored the sliding friction. This study mainly focus on the investigation of the effect of sliding friction and ring’s elasticity on the nonlinear behavior through the previous elastic TSPG model. Time-varying mesh stiffness formulas including sliding friction and nonlinearity backlash are derived to compare the bifurcation diagrams and vibration response. Numerical examples show interesting behaviors for the TSPG model including sliding friction and elastic component in comparison with the lumped parameter model.

KW - Bifurcation curve

KW - Elastic ring gear

KW - Nonlinear dynamic

KW - Planetary gear

KW - Sliding friction

UR - https://www.scopus.com/pages/publications/85122637379

U2 - 10.1007/s12206-021-1206-8

DO - 10.1007/s12206-021-1206-8

M3 - 文章

AN - SCOPUS:85122637379

SN - 1738-494X

VL - 36

SP - 77

EP - 85

JO - Journal of Mechanical Science and Technology

JF - Journal of Mechanical Science and Technology

IS - 1

ER -

Nonlinear dynamics of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

Abstract

Keywords

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