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Transactions of FAMENA, Vol. 50 No. 3, 2026.

Original scientific paper

https://doi.org/10.21278/TOF.503067224

A Geometric Method for the Design of Skewing Involute Worm Gearing Based on the Engagement-Limiting Curve

Yaoting Yu ; School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, P. R. China
Yaping Zhao orcid id orcid.org/0000-0001-8333-4759 ; School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, P. R. China *
Jiayue Ma ; School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, P. R. China
Zhiqiang Hao ; Key Laboratory of Metallurgical Equipment and Control Technology of the Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, P. R. China

* Corresponding author.

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Abstract

A geometric design method for the offset type of worm gearing is proposed, based on the computation of the engagement-limiting curve of the gearing. A novel type of offset worm gearing, the skewing involute worm gearing, is chosen to demonstrate the design method proposed in this paper. The calculation theory of the engagement-limiting curve is well established. The analytical expression of the limiting curve is derived, and all numerical solutions of the limiting curve are obtained. The result shows that the limiting curves in the axial section of the worm are hyperbolic curves. The compact design of the gearing is realized, based on the condition that the engagement-limiting curve is as close as possible to the worm without entering the worm helicoid. Thus, the installing distance of the worm of the compact design gearing is 42.1947 mm, compared with 48.2100 mm of the worm of the non-compact gearing; this shows that the installing gear distance of the compact design decreased by 12.4773%. The formulae for the installing distance of the worm and the coordinates of the reference point are deduced, and the dimensions of the worm gear blank are determined.

Keywords

engagement-limiting curve; involute helicoid; worm gearing; compact design method; hyperbola

Hrčak ID:

351044

URI

https://hrcak.srce.hr/351044

Publication date:

16.6.2026.

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