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Effect of modification coefficient on nonlinear dynamic characteristics of planetary drive with small teeth number difference
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Li, Hongtao, Niu, Wentie , Zhang, Dawei , Tian, Yanling and Fu, Shengli (2013) Effect of modification coefficient on nonlinear dynamic characteristics of planetary drive with small teeth number difference. Journal of Vibroengineering, 16 (1). pp. 90-102. ISSN 1392-8716 .
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Abstract
Planetary Drive with Small Teeth Number Difference (PDSTND) is widely utilized in industry for its advantages including large transmission ratio, huge torque and high efficiency. However, interference can easily occur due to the small teeth number difference between annulus and planetary gear, which can be solved by modification. Besides, noise and vibration are still the remained problems to influence its working performance. In order to discover the interaction of modification coefficient and vibration, a nonlinear dynamic model is established by using Lagrange equation and solved by the fourth-order Runge-Kutta method. Modification coefficient, backlash and transmission error are used as the control parameters to investigate their effects on the dynamic characteristics of the system, by means of bifurcation diagrams, Poincaré maps, trajectories and frequency spectrums. The results show that the system turns into quasi‑periodic motion, and then alternates between period‑ ( 5, 6) and chaotic motion as modification coefficient increases. Moreover, the responses of backlash and transmission error to the system get more complex with increasing modification coefficient. The results can provide new theoretical basis for the design, manufacture and fault diagnosis of PDSTND.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
Journal or Publication Title: | Journal of Vibroengineering | ||||||||
Publisher: | Public Institution Vibromechanika | ||||||||
ISSN: | 1392-8716 | ||||||||
Official Date: | 5 October 2013 | ||||||||
Dates: |
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Volume: | 16 | ||||||||
Number: | 1 | ||||||||
Page Range: | pp. 90-102 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
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