Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics

doi:10.1007/s11071-021-06891-5

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	Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics
	Shi, Jian-fei 1,2; Gou, Xiang-feng 2; Zhu, Ling-yun 2
刊名	NONLINEAR DYNAMICS
	2021-09
卷号	106 期号:3 页码:2035-2060
关键词	Spur gear pair Five-state meshing behavior Multi-state contact mechanism Time-varying backlash Bifurcation and chaos
ISSN号	0924-090X
DOI	10.1007/s11071-021-06891-5
英文摘要	Teeth disengagement or back-side teeth engagement induced by backlash reduces the transmission quality and dynamic performance of gear systems, and the accurate interpretation of multi-state meshing behavior can provide guidance for structural optimization and performance evaluation. Therefore, the multi-state meshing behavior of the gear system is elaborated. A new nonlinear dynamic model of a spur gear system with five-state meshing behavior is established based on the time-varying backlash and contact ratio. The time-varying meshing stiffness and time-varying backlash considering the elastic contact of gear teeth, gear temperature rise and lubrication are included in the model. The five-state meshing behavior is clearly characterized by constructing five Poincare maps, and its generation mechanism is revealed using dynamic meshing force time history, teeth relative displacement time history and phase portrait. The bifurcation and evolution of five-state meshing behavior are analyzed under the effects of load factor, meshing frequency and error coefficient. The results show that the mutation in the direction of dynamic meshing force leads to teeth disengaging and back-side single- or double-tooth contact, forming multi-state meshing behavior. Bifurcation caused by parameter changes greatly affects the evolution of five-state meshing behavior, particularly grazing bifurcation can decrease the number of teeth disengagement. Chaotic behavior or trajectory expansion inspires multi-state meshing vibration of the system. Previous gear system models could not reveal these phenomena due to ignoring the multi-state meshing behavior.
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000698096900001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148799]
专题	兰州理工大学
作者单位	1.Lanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Peoples R China; 2.Tiangong Univ, Sch Mech Engn, Tianjin 300387, Peoples R China
推荐引用方式 GB/T 7714	Shi, Jian-fei,Gou, Xiang-feng,Zhu, Ling-yun. Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics[J]. NONLINEAR DYNAMICS,2021,106(3):2035-2060.
APA	Shi, Jian-fei,Gou, Xiang-feng,&Zhu, Ling-yun.(2021).Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics.NONLINEAR DYNAMICS,106(3),2035-2060.
MLA	Shi, Jian-fei,et al."Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics".NONLINEAR DYNAMICS 106.3(2021):2035-2060.