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Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System
Joint Authors
Huang, Qilin
Wang, Yong
Huo, Zhipu
Xie, Yudong
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A nonlinear purely rotational dynamic model of a multistage closed-form planetary gear set formed by two simple planetary stages is proposed in this study.
The model includes time-varying mesh stiffness, excitation fluctuation and gear backlash nonlinearities.
The nonlinear differential equations of motion are solved numerically using variable step-size Runge-Kutta.
In order to obtain function expression of optimization objective, the nonlinear differential equations of motion are solved analytically using harmonic balance method (HBM).
Based on the analytical solution of dynamic equations, the optimization mathematical model which aims at minimizing the vibration displacement of the low-speed carrier and the total mass of the gear transmission system is established.
The optimization toolbox in MATLAB program is adopted to obtain the optimal solution.
A case is studied to demonstrate the effectiveness of the dynamic model and the optimization method.
The results show that the dynamic properties of the closed-form planetary gear transmission system have been improved and the total mass of the gear set has been decreased significantly.
American Psychological Association (APA)
Huang, Qilin& Wang, Yong& Huo, Zhipu& Xie, Yudong. 2013. Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1008543
Modern Language Association (MLA)
Huang, Qilin…[et al.]. Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1008543
American Medical Association (AMA)
Huang, Qilin& Wang, Yong& Huo, Zhipu& Xie, Yudong. Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1008543
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008543