A Unified Theory for 3D Gear and Thread Metrology
We propose a unified theory for the metrological treatment of helical machine elements such as cylindrical and conical gears, worms, and screw threads. The main idea is to introduce a universal 3D geometry model for threaded components that provides for distinct parameterization using a unique set o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/16/7611 |
| _version_ | 1797524731524546560 |
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| author | Martin Stein Frank Keller Anita Przyklenk |
| author_facet | Martin Stein Frank Keller Anita Przyklenk |
| author_sort | Martin Stein |
| collection | DOAJ |
| description | We propose a unified theory for the metrological treatment of helical machine elements such as cylindrical and conical gears, worms, and screw threads. The main idea is to introduce a universal 3D geometry model for threaded components that provides for distinct parameterization using a unique set of geometry parameters and that offers and a functional description of the transverse profile. Using modern 3D coordinate measuring technology, a holistic evaluation algorithm yields the actual geometry as the result of a high dimensional best-fit procedure and form deviations as corresponding residuals. All determinants and evaluation parameters can then be calculated from the set of actual geometry parameters. By applying certain constraints to the model to be fitted, the novel method can be reduced to the established 2D methods and hence meets demands for the comparison of the two procedures. The results of the novel approach have proven to be very stable and they enable the evaluation of areal measurements with no loss of information. |
| first_indexed | 2024-03-10T09:01:34Z |
| format | Article |
| id | doaj.art-98e55b3472d54c6c816ae62028dc873a |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T09:01:34Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-98e55b3472d54c6c816ae62028dc873a2023-11-22T06:44:16ZengMDPI AGApplied Sciences2076-34172021-08-011116761110.3390/app11167611A Unified Theory for 3D Gear and Thread MetrologyMartin Stein0Frank Keller1Anita Przyklenk2Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, GermanyPhysikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, GermanyPhysikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, GermanyWe propose a unified theory for the metrological treatment of helical machine elements such as cylindrical and conical gears, worms, and screw threads. The main idea is to introduce a universal 3D geometry model for threaded components that provides for distinct parameterization using a unique set of geometry parameters and that offers and a functional description of the transverse profile. Using modern 3D coordinate measuring technology, a holistic evaluation algorithm yields the actual geometry as the result of a high dimensional best-fit procedure and form deviations as corresponding residuals. All determinants and evaluation parameters can then be calculated from the set of actual geometry parameters. By applying certain constraints to the model to be fitted, the novel method can be reduced to the established 2D methods and hence meets demands for the comparison of the two procedures. The results of the novel approach have proven to be very stable and they enable the evaluation of areal measurements with no loss of information.https://www.mdpi.com/2076-3417/11/16/7611coordinate metrologygear metrologythread metrologyhelical machine elementsholistic evaluationareal measurements |
| spellingShingle | Martin Stein Frank Keller Anita Przyklenk A Unified Theory for 3D Gear and Thread Metrology Applied Sciences coordinate metrology gear metrology thread metrology helical machine elements holistic evaluation areal measurements |
| title | A Unified Theory for 3D Gear and Thread Metrology |
| title_full | A Unified Theory for 3D Gear and Thread Metrology |
| title_fullStr | A Unified Theory for 3D Gear and Thread Metrology |
| title_full_unstemmed | A Unified Theory for 3D Gear and Thread Metrology |
| title_short | A Unified Theory for 3D Gear and Thread Metrology |
| title_sort | unified theory for 3d gear and thread metrology |
| topic | coordinate metrology gear metrology thread metrology helical machine elements holistic evaluation areal measurements |
| url | https://www.mdpi.com/2076-3417/11/16/7611 |
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