A STUDY ON THE TOOTH GEOMETRY AND CUTTING MACHINE MECHANISMS OF SPIRAL BEVEL GEARS

Abstract

The tooth geometry and cutting machine mechanisms of spiral bevel gears are investigated. Based on the kinematics of tilted head cutter, machine cradle, sliding base and work head, the matrix presentation of spiral bevel gear's tooth geometry are developed. The relations between the parameters of the proposed mathematical model and the machine settings of existing spiral bevel gear cutting machines are also investigated. The tilt of head cutter axis, motion of generation, helical motion of sliding base, and nongenerating cutting of spiral bevel gears are taken into consideration. An example is given to illustrate the application of the proposed mathematical model.