Study on the Tooth Surface and Curvature Characteristics of Cylindrical Gear with Variable Hyperbolic Arc-tooth-trace

doi:10.15961/j.jsuese.201700372

CORC > 兰州理工大学 > 兰州理工大学 > 机电工程学院

	Study on the Tooth Surface and Curvature Characteristics of Cylindrical Gear with Variable Hyperbolic Arc-tooth-trace
	Wei, Yongqiao 1,3; Ma, Dengqiu 2,3; Wu, Yang 3; Luo, Lan 3; Q., Bai ; L., Hou
刊名	Gongcheng Kexue Yu Jishu/Advanced Engineering Science
	2017-11-20
卷号	49 期号:6 页码:196-203
关键词	Digital storage Gear teeth Geometry Linear transformations curvature Cylindrical gear Gaussians Mean curvature Normal curvature Principal curvature Tooth surface equations
ISSN号	20963246
DOI	10.15961/j.jsuese.201700372
英文摘要	The curvature relationship of the conjugate tooth surface of gear pair is the important parameter which is the characterization of gear transmission quality, and has a direct effect on the induced normal curvature, contact zone shape, contact property, lubrication, wear and tooth surface stress. Based on the deduced tooth surface equation of cylindrical gear with variable hyperbolic arc-toothtrace (VH-CATT), its curvature expressions were deduced and its change regulations were studied. Firstly, based on the machining principle of the great cutter head, the tooth surface equations of VH-CATT gear were derived according to the transformation matrix of coordinates. According to the derived tooth surface equations, the principal curvature, gauss curvature, mean curvature and induced normal curvature of the VH-CATT gear were derived by using differential geometry and meshing theory. Based on the derived expressions, the tooth surface data, principal curvature, Gaussian curvature, mean curvature, induced normal curvature of the VH-CATT gear pair were simulated and analyzed by computer software. And the change regulations of the VH-CATT gear curvatures were obtained in the meshing process. It could be seen from the research results that the change trends of principal curvature of the concave tooth surface and convex tooth surface are consistent in the tooth line direction, but have the little differences. The principal curvatures gradually increase in the tooth profile direction, but the increase range is just the opposite, and the change trend of principal curvature is consistent with the convexity of profile. The Gauss curvature and mean curvature of the gear pair are very small, and the change range is also small in the meshing process, and no mutation occurs. It was proved that the tooth surfaces of VH-CATT gear pair are smooth and continuous. The main value of induced curvature is close to zero in the tooth line direction, and is the negative in the tooth profile direction. It was also proved that the interference phenomenon of gears don't occur in the meshing process. The research results of curvature, Showed that the VH-CATT gear drive has good performance and stable transmission. © 2017, Editorial Department of Advanced Engineering Sciences. All right reserved.
语种	中文
出版者	Editorial Department of Journal of Sichuan University
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114773]
专题	机电工程学院
作者单位	1.School of Mechanical and Electrical Eng., Lanzhou Univ. of Technol., Lanzhou; 730050, China; 2.School of Eng. and Technol., Zunyi Normal College, Zunyi; 563000, China 3.School of Manufacturing Sci. and Eng., Sichuan Univ., Chengdu; 610065, China;
推荐引用方式 GB/T 7714	Wei, Yongqiao,Ma, Dengqiu,Wu, Yang,et al. Study on the Tooth Surface and Curvature Characteristics of Cylindrical Gear with Variable Hyperbolic Arc-tooth-trace[J]. Gongcheng Kexue Yu Jishu/Advanced Engineering Science,2017,49(6):196-203.
APA	Wei, Yongqiao,Ma, Dengqiu,Wu, Yang,Luo, Lan,Q., Bai,&L., Hou.(2017).Study on the Tooth Surface and Curvature Characteristics of Cylindrical Gear with Variable Hyperbolic Arc-tooth-trace.Gongcheng Kexue Yu Jishu/Advanced Engineering Science,49(6),196-203.
MLA	Wei, Yongqiao,et al."Study on the Tooth Surface and Curvature Characteristics of Cylindrical Gear with Variable Hyperbolic Arc-tooth-trace".Gongcheng Kexue Yu Jishu/Advanced Engineering Science 49.6(2017):196-203.