The vibration modal properties of double-helical planetary gear (DHPG) system with three-dimensional motion are investigated with a combined use of numerical and analytical approach in this paper. The lumped-parameter model of the DHPG considering stiffness coupled between the left gear and the right gear is developed. Load-sharing with journal bearings is accepted in this planetary gear system, so that four stiffness coefficients can be applied to describe the dynamic behavior between the planet gear and the carrier. The model has three planar degrees of freedom for the carrier and an added axial degree of freedom for all gears, considering the effect of axial dynamic forces. The vibration equations are obtained according to Lagrange equation. A modal type distribution map is plotted initially to simplify modal classification. With the application of this modal type distribution map, all vibration modes are categorized distinctly into three essentially different types of modes including planet mode (PM), rotational-axial mode (RAM), and planer-translational mode (PTM). Unique characteristics of these vibration modes, such as, eigenvalue number, multiplicity of natural frequencies and deflection relations, are deduced and proved analytically. For each type of vibration modes, the reduced-order eigenvalue problems are derived.
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April 2015
Research-Article
Modal Analysis of Double-Helical Planetary Gears With Numerical and Analytical Approach
Zhaohua Sheng,
Zhaohua Sheng
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: zhsheng@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: zhsheng@csu.edu.cn
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Jinyuan Tang,
Jinyuan Tang
1
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: jytangcsu_312@163.com
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: jytangcsu_312@163.com
1Corresponding author.
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Siyu Chen,
Siyu Chen
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: chsy1324@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: chsy1324@csu.edu.cn
Search for other works by this author on:
Zehua Hu
Zehua Hu
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: zhhucsu@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: zhhucsu@csu.edu.cn
Search for other works by this author on:
Zhaohua Sheng
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: zhsheng@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: zhsheng@csu.edu.cn
Jinyuan Tang
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: jytangcsu_312@163.com
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: jytangcsu_312@163.com
Siyu Chen
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: chsy1324@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: chsy1324@csu.edu.cn
Zehua Hu
State Key Laboratory of High Performance
Complex Manufacturing,
e-mail: zhhucsu@csu.edu.cn
Complex Manufacturing,
Central South University
,Changsha 410083
, China
e-mail: zhhucsu@csu.edu.cn
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received February 19, 2014; final manuscript received August 4, 2014; published online November 7, 2014. Assoc. Editor: Shankar Coimbatore Subramanian.
J. Dyn. Sys., Meas., Control. Apr 2015, 137(4): 041012 (17 pages)
Published Online: April 1, 2015
Article history
Received:
February 19, 2014
Revision Received:
August 4, 2014
Citation
Sheng, Z., Tang, J., Chen, S., and Hu, Z. (April 1, 2015). "Modal Analysis of Double-Helical Planetary Gears With Numerical and Analytical Approach." ASME. J. Dyn. Sys., Meas., Control. April 2015; 137(4): 041012. https://doi.org/10.1115/1.4028788
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