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.

scholarly journals The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Y. H. Qian ◽  
J. L. Pan ◽  
S. P. Chen ◽  
M. H. Yao
Keyword(s):  
Exact Solutions ◽  
Nonlinear Vibration ◽  
Harmonic Balance ◽  
Nonlinear Dynamical Systems ◽  
Harmonic Balance Method ◽  
Time History ◽  
Approximate Solutions ◽  
Balance Method ◽  
Lumped Mass ◽  
Strongly Nonlinear

The exact solutions of the nonlinear vibration systems are extremely complicated to be received, so it is crucial to analyze their approximate solutions. This paper employs the spreading residue harmonic balance method (SRHBM) to derive analytical approximate solutions for the fifth-order nonlinear problem, which corresponds to the strongly nonlinear vibration of an elastically restrained beam with a lumped mass. When the SRHBM is used, the residual terms are added to improve the accuracy of approximate solutions. Illustrative examples are provided along with verifying the accuracy of the present method and are compared with the HAM solutions, the EBM solutions, and exact solutions in tables. At the same time, the phase diagrams and time history curves are drawn by the mathematical software. Through analysis and discussion, the results obtained here demonstrate that the SRHBM is an effective and robust technique for nonlinear dynamical systems. In addition, the SRHBM can be widely applied to a variety of nonlinear dynamic systems.

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