NONLINEAR DYNAMICS OF PLANETARY GEAR TRANSMISSION BY HARMONIC BALANCE METHOD BASED ON DFT

2002 ◽  
Vol 38 (11) ◽  
pp. 58 ◽  
Author(s):  
Tao Sun
Keyword(s):  
Nonlinear Dynamics ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Planetary Gear ◽  
Gear Transmission ◽  
Balance Method

Harmonic Balance Method for Nonlinear Vibration of Compound Planetary Gear Sets

2015 ◽  
Author(s):  
Weilin Zhu ◽  
Shijing Wu ◽  
Xiaosun Wang
Keyword(s):  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Planetary Gear ◽  
Response Characteristic ◽  
Transmission Error ◽  
Balance Method ◽  
Time Varying ◽  
Algebraic Equations ◽  
Gear Backlash ◽  
Planetary Gear Sets

In this paper, a new nonlinear time-varying dynamic model for compound planetary gear sets, which incorporates the time-varying meshing stiffness, transmission errors and gear backlash, has been presented. The harmonic balance method (HBM), which is an analytical approach widely used for nonlinear oscillators, is employed to investigate the dynamic characteristics of the gear sets. The matrix form iteration algebraic equations has been established and solved by HBM and single rank inverse Broyden method to reveal the effect of transmission error and gear backlash on the frequency response characteristic of the system. Sub-harmonic resonant, super-harmonic resonant and jump phenomenon have been illustrated by several examples.

Study on Nonlinear Dynamics of Planetary Reducer

2013 ◽  
Vol 756-759 ◽  
pp. 4616-4620
Author(s):  
Xue Feng Han ◽  
Yang Bai ◽  
Ming Li ◽  
Hong Guang Jia
Keyword(s):  
Nonlinear Dynamics ◽  
Harmonic Balance ◽  
Optimization Design ◽  
Harmonic Balance Method ◽  
Balance Method ◽  
Lumped Mass ◽  
Lumped Mass Method ◽  
Nonlinear Dynamics Model ◽  
Response Variation ◽  
Motor Drive System

Based on nonlinear vibration theory and synthesizing harmonic balance method, numerical analysis method and reducer vibration test, the paper studies the characteristics of traditional systematic nonlinear dynamics. Based on harmonic balance method, the paper deduces the frequency response equation in the range of the whole frequency and studies magnitude-frequency characteristic. The accuracy of the model is verified by comparing with traditional model. Lumped mass method is used to construct nonlinear dynamics model of 2K-H planetary reducer drive mechanism in new hybrid cars double motor drive system. And the paper makes detailed and deeper analysis on response variation rules of the system and meshing stock state of gear pair with different parameters. Through the analysis of the relevant parameters, the planetary reducer is to have a more profound understanding, laid the foundation for future optimization design.

Nonlinear Dynamics of Planetary Gears With Equal Planet Spacing

2007 ◽  
Author(s):  
Cheon-Jae Bahk ◽  
Robert G. Parker
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamic Response ◽  
Harmonic Balance ◽  
Gear Tooth ◽  
Harmonic Balance Method ◽  
Planetary Gear ◽  
Nonlinear Effects ◽  
Planetary Gears ◽  
Parallel Finite Element ◽  
The Impact

Planetary gears are parametrically excited by the time-varying mesh stiffness that fluctuates as the number of gear tooth pairs in contact changes during gear rotation. The resulting vibration causes tooth separation leading to nonlinear effects such as classical jump phenomena and sub- and superharmonic resonance. The nonlinear dynamics of the planetary gear is examined by both numerical and analytical methods over the meaningful mesh frequency ranges. Concise, closed-form approximations for the dynamic response are obtained by perturbation analysis. The analytical solutions give insight into the nonlinear dynamics and the impact of system parameters on dynamic response. The harmonic balance method with arclength continuation confirms the perturbation solutions. The accuracy of the analytical and harmonic balance solutions is validated by parallel finite element and numerical integration simulations.

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