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Temperature influence on involute gear measurements

Temperatureinfluss bei Messungen von zylindrischen Evolventenverzahnungen

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An Erratum to this article was published on 30 October 2019

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Abstract

Involute gears are high-stress components used in a variety of drivetrain applications. Small manufacturing tolerances require low measurement uncertainties in production metrology. A well-established traceability chain from industrial facilities to national gear measurement standards is essential for reliable quality control.

Especially for large parts, the ambient and workpiece temperatures contribute to the measurement uncertainty considerably. However, measurements on the shop floor can rarely be performed at exactly 20 °C, which is the international reference temperature for dimensional metrology.

In this paper, the influence of thermal expansion on gear deviations is discussed. Theoretical considerations are compared to results obtained via finite element analysis (FEA) as well as to experimental data. This also includes measurements of PTB’s large gear measurement standards under different temperature conditions. The outcome of this study can be used either to estimate measurement uncertainty contributors in industrial applications or to compensate thermally induced errors in gear measurements.

Zusammenfassung

Verzahnungen mit evolventischem Profil sind stark beanspruchte Bauteile in einer Vielzahl von Getriebeanwendungen. Um diesen Beanspruchungen standzuhalten, sind sehr geringe Fertigungstoleranzen einzuhalten, die wiederum bei der Qualitätsüberprüfung noch viel kleinere Messunsicherheiten erfordern. Für eine zuverlässige Qualitätskontrolle ist eine geschlossene Rückführungskette von nationalen Normalen bis zum Produkt in der Industrie notwendig. Vor allem bei großen Bauteilen liefert die Umgebungs- und Materialtemperatur des Bauteils einen entscheidenden Beitrag zur Messunsicherheit. Allerdings können Messungen unter fertigungsnahen Bedingungen meist nicht bei der definierten Bezugstemperatur von 20 °C durchgeführt werden, bei der die Kalibrierung des Normals stattfand.

In diesem Artikel wird der Einfluss der thermischen Ausdehnung auf Abweichungen der Verzahnungsgeometrie diskutiert. Theoretische Ansätze werden mit den Ergebnissen von Simulationen mit der Finite-Elemente-Methode sowie tatsächlichen Messwerten verglichen. Hierzu wurde das Großverzahnungsnormal der PTB bei verschiedenen Temperaturzuständen gemessen. Die Ergebnisse können entweder dazu verwendet werden, den Einfluss auf die Messunsicherheit richtig abzuschätzen oder die Abweichungen, die durch den thermischen Zustand entstehen, zu korrigieren.

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References

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Acknowledgements

This research project was funded by the BMWi. The authors would like to thank Thomas Cailloux from the University of Besançon and Philipp Wortmann from PTB for their support in CAD modeling and FEA simulations.

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Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

    Ann-Kathrin Wiemann, Martin Stein & Karin Kniel

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  1. Ann-Kathrin Wiemann
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  2. Martin Stein
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  3. Karin Kniel
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Correspondence to Ann-Kathrin Wiemann.

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Wiemann, AK., Stein, M. & Kniel, K. Temperature influence on involute gear measurements. Forsch Ingenieurwes 83, 683–690 (2019). https://doi.org/10.1007/s10010-019-00346-5

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  • DOI: https://doi.org/10.1007/s10010-019-00346-5

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