Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System

Gang Tian; Xihui Liu; Zhihui Gao; Yushu Bian

doi:10.1007/978-981-16-7381-8_30

Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System

Gang Tian
, Xihui Liu
, Zhihui Gao^*
, Yushu Bian

^*Corresponding author for this work

School of Mechanical Engineering and Automation

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A nonlinear dynamic model of two stages planetary gear and one stage parallel helical gear system considering the torsional vibration, axial vibration and Radial vibration is established by using Lagrange equation. Referring to the dynamic response of the system, the influence of transmission error is analyzed with the help of bifurcation diagrams, Poincare diagrams, phase diagrams and time history diagrams. The results show that with the changes of the transmission error, the system exhibits different types of nonlinear behaviors and dynamic evolution mechanism, including quasi-periodic, multi-periodic, chaotic motions, and jump discontinuity phenomenon. The results of this paper have some guiding significance for selecting reasonable gear parameter values.

Original language	English
Title of host publication	Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021
Editors	Jianrong Tan
Publisher	Springer Science and Business Media B.V.
Pages	447-458
Number of pages	12
ISBN (Print)	9789811673801
DOIs	https://doi.org/10.1007/978-981-16-7381-8_30
State	Published - 2022
Event	International Conference on Mechanical Design, ICMD 2021 - Changsha, China Duration: 11 Aug 2021 → 13 Aug 2021

Publication series

Name	Mechanisms and Machine Science
Volume	111
ISSN (Print)	2211-0984
ISSN (Electronic)	2211-0992

Conference

Conference	International Conference on Mechanical Design, ICMD 2021
Country/Territory	China
City	Changsha
Period	11/08/21 → 13/08/21

Keywords

Bifurcation
Chaos
Nonlinear dynamics
Planetary gear

Access to Document

10.1007/978-981-16-7381-8_30

Cite this

Tian, G., Liu, X., Gao, Z., & Bian, Y. (2022). Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System. In J. Tan (Ed.), Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021 (pp. 447-458). (Mechanisms and Machine Science; Vol. 111). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-981-16-7381-8_30

Tian, Gang ; Liu, Xihui ; Gao, Zhihui et al. / Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System. Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. editor / Jianrong Tan. Springer Science and Business Media B.V., 2022. pp. 447-458 (Mechanisms and Machine Science).

@inproceedings{6ced68fd5f4e4c058d51424b1b2d73bf,

title = "Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System",

abstract = "A nonlinear dynamic model of two stages planetary gear and one stage parallel helical gear system considering the torsional vibration, axial vibration and Radial vibration is established by using Lagrange equation. Referring to the dynamic response of the system, the influence of transmission error is analyzed with the help of bifurcation diagrams, Poincare diagrams, phase diagrams and time history diagrams. The results show that with the changes of the transmission error, the system exhibits different types of nonlinear behaviors and dynamic evolution mechanism, including quasi-periodic, multi-periodic, chaotic motions, and jump discontinuity phenomenon. The results of this paper have some guiding significance for selecting reasonable gear parameter values.",

keywords = "Bifurcation, Chaos, Nonlinear dynamics, Planetary gear",

author = "Gang Tian and Xihui Liu and Zhihui Gao and Yushu Bian",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; International Conference on Mechanical Design, ICMD 2021 ; Conference date: 11-08-2021 Through 13-08-2021",

year = "2022",

doi = "10.1007/978-981-16-7381-8\_30",

language = "英语",

isbn = "9789811673801",

series = "Mechanisms and Machine Science",

publisher = "Springer Science and Business Media B.V.",

pages = "447--458",

editor = "Jianrong Tan",

booktitle = "Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021",

address = "荷兰",

}

Tian, G, Liu, X, Gao, Z & Bian, Y 2022, Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System. in J Tan (ed.), Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. Mechanisms and Machine Science, vol. 111, Springer Science and Business Media B.V., pp. 447-458, International Conference on Mechanical Design, ICMD 2021, Changsha, China, 11/08/21. https://doi.org/10.1007/978-981-16-7381-8_30

Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System. / Tian, Gang; Liu, Xihui; Gao, Zhihui et al.
Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. ed. / Jianrong Tan. Springer Science and Business Media B.V., 2022. p. 447-458 (Mechanisms and Machine Science; Vol. 111).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System

AU - Tian, Gang

AU - Liu, Xihui

AU - Gao, Zhihui

AU - Bian, Yushu

PY - 2022

Y1 - 2022

N2 - A nonlinear dynamic model of two stages planetary gear and one stage parallel helical gear system considering the torsional vibration, axial vibration and Radial vibration is established by using Lagrange equation. Referring to the dynamic response of the system, the influence of transmission error is analyzed with the help of bifurcation diagrams, Poincare diagrams, phase diagrams and time history diagrams. The results show that with the changes of the transmission error, the system exhibits different types of nonlinear behaviors and dynamic evolution mechanism, including quasi-periodic, multi-periodic, chaotic motions, and jump discontinuity phenomenon. The results of this paper have some guiding significance for selecting reasonable gear parameter values.

AB - A nonlinear dynamic model of two stages planetary gear and one stage parallel helical gear system considering the torsional vibration, axial vibration and Radial vibration is established by using Lagrange equation. Referring to the dynamic response of the system, the influence of transmission error is analyzed with the help of bifurcation diagrams, Poincare diagrams, phase diagrams and time history diagrams. The results show that with the changes of the transmission error, the system exhibits different types of nonlinear behaviors and dynamic evolution mechanism, including quasi-periodic, multi-periodic, chaotic motions, and jump discontinuity phenomenon. The results of this paper have some guiding significance for selecting reasonable gear parameter values.

KW - Bifurcation

KW - Chaos

KW - Nonlinear dynamics

KW - Planetary gear

UR - https://www.scopus.com/pages/publications/85127867939

U2 - 10.1007/978-981-16-7381-8_30

DO - 10.1007/978-981-16-7381-8_30

M3 - 会议稿件

AN - SCOPUS:85127867939

SN - 9789811673801

T3 - Mechanisms and Machine Science

SP - 447

EP - 458

BT - Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021

A2 - Tan, Jianrong

PB - Springer Science and Business Media B.V.

T2 - International Conference on Mechanical Design, ICMD 2021

Y2 - 11 August 2021 through 13 August 2021

ER -

Tian G, Liu X, Gao Z , Bian Y. Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System. In Tan J, editor, Advances in Mechanical Design - Proceedings of the 2021 International Conference on Mechanical Design, ICMD 2021. Springer Science and Business Media B.V. 2022. p. 447-458. (Mechanisms and Machine Science). doi: 10.1007/978-981-16-7381-8_30

Research on Nonlinear Dynamic Influence of Transmission Error on Wind Turbine Planetary Gear System

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