Modal and whirling analysis of coupled lateral and torsional vibration of herringbone gear

被引：5
作者：
Chen S. [1 ]
Tang J. [1 ]
Zhou C. [2 ]
Hu Z. [1 ]
机构：
[1] State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, Hunan
[2] State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha
来源：
International Journal of Dynamics and Control | 2014年 / 2卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Herringbone gear; High speed; Modal vibration; Whirling;
D O I：
10.1007/s40435-013-0042-9
中图分类号：
学科分类号：
摘要：
The coupled lateral and torsional motions are significant for the herringbone gear in high-speed applications. The present work attempts to investigate the influences of damping, eccentric mass and time varying mesh stiffness of gear pair on the modal vibration of a herringbone gear pair. Under high-speed condition, the gyroscopic performance as a result of coupled lateral and torsional motions cannot be ignored. To achieve a targeted analysis, the equivalent mesh stiffness of the herringbone gear pair is calculated in preprocessing based on the finite element method by considering the thin rim and web. Subsequently, an analytical model for coupled lateral and torsional motions of the herringbone gear is proposed. Then, the natural frequencies, synchronous whirling speed, critical speed, as well as the transient behaviors with time invariant and time varying stiffness, are calculated numerically. The results in Campbell diagram show that the damping affects the critical speed slightly while the eccentric mass will reduce the critical speed significantly. Transient dynamics analysis shows that no matter which stiffness models are used, the high frequency components are predominant, which may be the results of frequency veering phenomena at high order natural frequency. The present work indicates the necessity of paying attention to the critical speed relative to mesh frequency in high speed gear applications. © 2013, Springer-Verlag Berlin Heidelberg.
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页码：404 / 414
页数：10
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