Investigation of the effect of multi-segment cutter section on meshing characteristics for face-hobbed hypoid gears

Abstract

In this paper, a novel cutter section is designed, which adds a linear transition section between the fillet and the major cutting edge for the three-faced cutter plate. By deriving the relative motion coupling relationship with the cutter plate, machine and gear blank, the tooth surface point set is solved by using the meshing equation and the mapping relationship with the discretized point set of the blank section. The mathematical model and the meshing model of hypoid gear are established with different cutter parameters. The influences of the multi-segment cutter section on the meshing characteristics of the hypoid gear are researched. The results show that the effect of contact pattern is not obvious of with linear segment. Besides, the peak to peak value of transmission error and meshing stiffness are reduced compared with the traditional cutter section. With the increase of the length of the linear segment, the tooth root bending stress increases and the transmission error and meshing stiffness decrease. The tooth root bending stress decreases and the transmission error and the meshing stiffness are not obvious with the increased of the radius of fillet. Therefore, the proper length of the linear segment and the radius of fillet can reduce the vibration by decreasing the transmission error with guaranteed strength.

Keywords

• face-hobbed hypoid gear
• cutting tool section
• mathematical model
• meshing model
• meshing characteristics