Optimal Choice of Worm Gearing Design with Increased Wear Resistance for Machine’s Rotary Table

Abstract

This work is devoted to the research of circular feed devices for a metal-cutting machine with backlash-free worm gear of increased wear resistance. A spatial model of a rotary table with a gap compensation mechanism as sliding supports in the integrated CAD KOMPAS-3D environment has been developed. A design scheme is proposed, and the efforts required to create a guaranteed hard contact are determined. The effectiveness of the proposed method for compensating the gap due to the worm displacement relative to the wheel is substantiated. The phenomena associated with a decrease in the intensity of wear and arising in the engagement of a worm gear with limitations on rigidity are investigated. A mathematical model of a two-parameter problem of optimizing the wear rate using Lagrange multipliers is formed. The concept of increasing the resource of a mechanical transmission due to the availability of gapless contact between the worm and the wheel is analyzed. The authors conclude that using sliding supports will reduce the time for adjusting machine tools and make the process of manufacturing housing parts more economical. An analytical apparatus for determining the main parameter of the worm gear by the minimum wear criterion is created. The assumption about the rational area of using this design of the backlash-free transmission for the rotary table at low gear ratios and the use of quadric-thread worms is substantiated.