Nonlinear torsional vibration modeling and characteristic study of planetary gear train processing device

被引：0

作者：

Zhijun S. ^{[1
]}

Li H. ^{[1
]}

Qinglin C. ^{[1
]}

Yongqiao W. ^{[1
]}

Wei L. ^{[2
]}

机构：

[1] School of Manufacturing Science and Engineering, Sichuan University, Chengdu

[2] School of Mechanical Engineering and Automation, Xihua University, Chengdu

来源：

International Journal of Acoustics and Vibrations | 2016年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Elastic waves - Harmonic analysis - Machine vibrations - Bifurcation (mathematics) - Vibration analysis - Damping - Systems engineering;

D O I：

10.20855/ijav.2016.21.1395

中图分类号：

学科分类号：

摘要：

A nonlinear torsional vibration model with meshing errors, time varying meshing stiffness, damping coefficients, and gear backlashes was presented to analyse the nonlinear dynamic behaviour of the planetary gear train system, which was used to machine the Circular-Arc-Tooth-Trace cylindrical gear. Its dimensionless equations of the system were derived, and the solution of the equations was carried out by using the method of numerical integration. The bifurcation diagrams indicated that the system had abundant bifurcation properties with the dimensionless speed, and the damping ratios of meshing pairs could influence the vibration amplitudes and bifurcation characteristic greatly. The phase plane plots and Poincar maps revealed that the motion state of the system would through the regions such as harmonic response, non-harmonic response, 2T-periodic harmonic response, 4T-periodic harmonic response, quasi-harmonic response, and chaotic response. The chaotic regions will cause the system failure and instabilities, so these regions should be avoided.

引用

页码：59 / 66

页数：7

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