Analysis of the wormwheel toothing accuracy

Abstract

The article presents a mathematical model for the determination of the tooth surface of the wormwheel machined by either the tangential or the radial method. Wormwheel machining with a special hob and a modular hob is considered. Different methods of solving the task are presented. This includes also a numerical method that requires the envelope condition to be solved. The described discussion is general in nature. The tool action surface, built based on the worm mating with the wormwheel in the worm gear, may have an arbitrary profile. In the technological gear, made up by the tool and the wormwheel, the rotary motion of the wormwheel was exchanged for its rectilinear motion. The tool positioning errors in the machining process were taken into account.

Keywords

• envelope method
• worm gear
• wormwheel