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Applied Sciences
Volume 14
Issue 23
10.3390/app142310833
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings

by
Simion Haragâș
1,
Roland Ninacs
1,
Ovidiu Buiga
1,*,
Lucian Tudose
1,
Alexandru Haragâș
2,
Ioana Monica Sas-Boca
3,* and
Felicia Aurora Cristea
1
1
Mechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
2
Computer Department, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
3
Materials Science and Engineering Department, Faculty of Materials and Environmental Engineering, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
*
Authors to whom correspondence should be addressed.
Appl. Sci. 2024, 14(23), 10833; https://doi.org/10.3390/app142310833
Submission received: 14 October 2024 / Revised: 15 November 2024 / Accepted: 20 November 2024 / Published: 22 November 2024
(This article belongs to the Special Issue Machine Tools, Advanced Manufacturing and Precision Manufacturing)
Versions Notes

Abstract

The aim of this paper is to develop a mathematical model for an unconventional worm gear consisting of a globoid worm and a worm wheel where the teeth are bearings. Using rolling elements such the teeth of the worm wheel (ball bearings) transforms the sliding friction to rolling friction during the process of worm gear meshing, improving power. The geometry of the component elements of the gear is analyzed in correlation with its kinematics. After the creation of the mathematical model, it is validated both analytically (through complex graphic representations) and experimentally (by creating, for a particular case, the 3D model and the concrete physical model (prototype) of the gear through 3D printing).
Keywords: mathematical model; globoid worm; rolling friction; analytical validation; experimental validation; graphical simulation; additive manufacturing mathematical model; globoid worm; rolling friction; analytical validation; experimental validation; graphical simulation; additive manufacturing

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MDPI and ACS Style

Haragâș, S.; Ninacs, R.; Buiga, O.; Tudose, L.; Haragâș, A.; Sas-Boca, I.M.; Cristea, F.A. An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings. Appl. Sci. 2024, 14, 10833. https://doi.org/10.3390/app142310833

AMA Style

Haragâș S, Ninacs R, Buiga O, Tudose L, Haragâș A, Sas-Boca IM, Cristea FA. An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings. Applied Sciences. 2024; 14(23):10833. https://doi.org/10.3390/app142310833

Chicago/Turabian Style

Haragâș, Simion, Roland Ninacs, Ovidiu Buiga, Lucian Tudose, Alexandru Haragâș, Ioana Monica Sas-Boca, and Felicia Aurora Cristea. 2024. "An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings" Applied Sciences 14, no. 23: 10833. https://doi.org/10.3390/app142310833

APA Style

Haragâș, S., Ninacs, R., Buiga, O., Tudose, L., Haragâș, A., Sas-Boca, I. M., & Cristea, F. A. (2024). An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings. Applied Sciences, 14(23), 10833. https://doi.org/10.3390/app142310833

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