期刊
MECHANISM AND MACHINE THEORY
卷 134, 期 -, 页码 582-603出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2019.01.018
关键词
Gear vibration; Back-side tooth mesh; Dynamic meshing force; Time-varying parameter; Backlash
资金
- Natural Science Key Foundation of Tianjin, China [16JCZDJC38500]
- Natural Science Foundation of Tianjin, China [18JCYBJC88800]
- National Natural Science Foundation of China [51365025]
- Program for Innovative Research Team in University of Tianjin, China [TD13-5037]
Backlash-induced variations may lead to teeth separation and back-side tooth mesh in lightly loaded geared drive. Effects of teeth separation and back-side tooth mesh are considered. The dynamic model of a spur gear pair under multi-state meshing conditions such as teeth separation, drive- and back-side tooth mesh is established based on the gear transmission principle and forces acting on teeth. Time-varying meshing stiffness, time-varying friction, load distribution, comprehensive transmission error and backlash are included in the model. Variations of the dynamic meshing force of the system under different meshing states are analyzed numerically. The dynamic meshing force affects the meshing state of the system significantly. Furthermore, the effects of load, backlash and comprehensive transmission error on meshing states and vibro-impact properties of the system are studied by defining three different Poincare maps, where bifurcation diagrams, top Lyapunov exponent diagrams (TLE), phase portraits are used. Results indicate that the complicated phenomena such as drive-side impact, teeth separation and back-side impact gradually occur with the decrease of the load or the increase of the comprehensive error. However, these phenomena always exist with the increase in backlash. This study provides a theoretical reference for the optimization of gears. (C) 2019 Elsevier Ltd. All rights reserved.
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