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Holistic evaluation of involute gear surfaces using 3D point cloud inversion

Lookup NU author(s): Tom ReavieORCiD, Dr Robert FrazerORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

Gear users desire increased performance from their products and are interested in predicting the behavior (vibration, loss, service life, etc), and gear manufacturers are interested in adjusting machining parameters to manufacture even better gears. Both require proficient metrology. The evaluation standards were originally written to classify the manufacturing capability of machine tools and as tolerances tighten they may not provide enough insight into the functional performance of the manufactured parts. Furthermore, the advantage of modern coordinate and gear measuring machines is not fully taken into account when applying standardized measurement and evaluation strategies. Improved analysis tools can increase the relevant information gained from current measurement capabilities and enable more useful functional characteristics to be specified by designers and manufacturers. A key improvement is to move from profile and helix line traces to flank surfaces and corresponding fitted form elements. This is achieved by the introduced method. We present an inversion algorithm that fits dimension, form, and pose, and is applicable with current methods through freezing of specific fitting parameters. The method fits a synthetic point cloud with output results that are accurate to the 7th digit, or in practical terms are numerically equal. The inversion method can increase the understanding of error contributions and the functional performance of gears.


Publication metadata

Author(s): Przyklenk A, Reavie T, Stein M, Frazer R

Publication type: Article

Publication status: Published

Journal: Engineering Research Express

Year: 2024

Volume: 6

Issue: 1

Print publication date: 01/03/2024

Online publication date: 04/03/2024

Acceptance date: 24/01/2024

Date deposited: 14/10/2025

ISSN (electronic): 2631-8695

Publisher: Institute of Physics Publishing Ltd.

URL: https://doi.org/10.1088/2631-8695/ad2241

DOI: 10.1088/2631-8695/ad2241

Data Access Statement: All data that support the findings of this study are included within the article (and any supplementary files).


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Funding

Funder referenceFunder name
The project 19ENG07 Met4Wind has received funding from the EMPIR programme co-financed by the Participating States and from the European Union's Horizon 2020 research and innovation program.

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