The Model of Spatial Forming with Multi-cutting-edge for Cylindrical Gear Hobbing and Its Application

doi:10.3901/JME.2016.09.176

Abstract

Abstract: As the most widely used cylindrical gear machining approach, gear hobbing owns characteristics of high efficiency but complexity. On the basis of generating theory, a series of cutting edges which regularly distributed on the basic worm face of the hob is going to remove material from the gear blank successively and the involute tooth flank is shaped by enveloping. The study on its forming principle can provide effective guidance for performance improvement. In allusion to the characteristics of multi-edge cutting, the spatial forming model for cylindrical gear hobbing is established. The parametric equation of cutting edges sequence is established based on the theoretical constraint relationship of the geometrical and structural parameters of the hob. The kinematics relationship between the hob and gear blank is determined according to geometric parameters of hob and gear as well as machining parameters. The parametric model of the spatial forming surface generated by the cutting edge sequence is derived. Based on the model, the geometry and thickness of the chip corresponding to each cutting edge is obtained with numerical method by discretization. And the dynamic main cutting force in gear hobbing process is calculated according to the chip geometry. The established model can be utilized to support parameter optimization of gear hobbing process and the geometric design of hob.

Key words: cutting force, forming principle, gear hobbing, spatial geometric forming

CLC Number:

TG161

CHEN Yongpeng¹, CAO Huajun¹, LI Xianguang², CHEN Peng². The Model of Spatial Forming with Multi-cutting-edge for Cylindrical Gear Hobbing and Its Application[J]. Journal of Mechanical Engineering, 2016, 52(9): 176-183.

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