Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness
Current gear design guidelines and standards have given little or no consideration to the increase in strength that can be achieved by using ultra-clean steels. In order to fully exploit the potential of ultra-clean steels, it is therefore necessary to use higher-quality calculation methods that com...
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MDPI AG
2024-11-01
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| Series: | Metals |
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| Online Access: | https://www.mdpi.com/2075-4701/14/12/1349 |
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| author | Christian Eggert Dieter Mevissen Christian Westphal Christian Brecher |
| author_facet | Christian Eggert Dieter Mevissen Christian Westphal Christian Brecher |
| author_sort | Christian Eggert |
| collection | DOAJ |
| description | Current gear design guidelines and standards have given little or no consideration to the increase in strength that can be achieved by using ultra-clean steels. In order to fully exploit the potential of ultra-clean steels, it is therefore necessary to use higher-quality calculation methods that combine FEM stress calculations with local strength calculations. Therefore, the aim of this paper is to extend the inclusion-based model to allow for the calculation of the tooth root bending strength of gears with different steel cleanliness. For this purpose, a material analysis of 20MnCr5 with three different degrees of cleanliness is carried out and the respective material defect distribution is determined. In order to be able to represent the determined material defect distributions of the different cleanliness grades in the inclusion-based model, the model is extended accordingly, and a sensitivity analysis is carried out on the influence of the material defect distribution functions on the tooth root bending strength calculation. Finally, the model is applied to a pulsator test to verify the applicability of the model. The results of the verification show that the calculation of the mean bending strength of gears in pulsator investigations is generally possible with the extended inclusion-based model. The inclusion-based model thus offers the potential to improve the statistical significance of pulsator test results by supplementing the limited number of practical test points with the virtual test points of the inclusion-based model. |
| format | Article |
| id | doaj-art-0613deae4d324d27b6600d3a01a5289b |
| institution | DOAJ |
| issn | 2075-4701 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
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| series | Metals |
| spelling | doaj-art-0613deae4d324d27b6600d3a01a5289b2025-08-20T02:57:20ZengMDPI AGMetals2075-47012024-11-011412134910.3390/met14121349Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel CleanlinessChristian Eggert0Dieter Mevissen1Christian Westphal2Christian Brecher3Laboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Steinbachstraße 19, 52074 Aachen, GermanyLaboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Steinbachstraße 19, 52074 Aachen, GermanyLaboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Steinbachstraße 19, 52074 Aachen, GermanyLaboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Steinbachstraße 19, 52074 Aachen, GermanyCurrent gear design guidelines and standards have given little or no consideration to the increase in strength that can be achieved by using ultra-clean steels. In order to fully exploit the potential of ultra-clean steels, it is therefore necessary to use higher-quality calculation methods that combine FEM stress calculations with local strength calculations. Therefore, the aim of this paper is to extend the inclusion-based model to allow for the calculation of the tooth root bending strength of gears with different steel cleanliness. For this purpose, a material analysis of 20MnCr5 with three different degrees of cleanliness is carried out and the respective material defect distribution is determined. In order to be able to represent the determined material defect distributions of the different cleanliness grades in the inclusion-based model, the model is extended accordingly, and a sensitivity analysis is carried out on the influence of the material defect distribution functions on the tooth root bending strength calculation. Finally, the model is applied to a pulsator test to verify the applicability of the model. The results of the verification show that the calculation of the mean bending strength of gears in pulsator investigations is generally possible with the extended inclusion-based model. The inclusion-based model thus offers the potential to improve the statistical significance of pulsator test results by supplementing the limited number of practical test points with the virtual test points of the inclusion-based model.https://www.mdpi.com/2075-4701/14/12/1349tooth root bending strengthultra-clean steelsteel cleanlinessmaterial defect distributionlocal strength calculationinclusion-based model |
| spellingShingle | Christian Eggert Dieter Mevissen Christian Westphal Christian Brecher Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness Metals tooth root bending strength ultra-clean steel steel cleanliness material defect distribution local strength calculation inclusion-based model |
| title | Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness |
| title_full | Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness |
| title_fullStr | Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness |
| title_full_unstemmed | Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness |
| title_short | Inclusion-Based Model: Calculating Tooth Root Bending Strength Considering Steel Cleanliness |
| title_sort | inclusion based model calculating tooth root bending strength considering steel cleanliness |
| topic | tooth root bending strength ultra-clean steel steel cleanliness material defect distribution local strength calculation inclusion-based model |
| url | https://www.mdpi.com/2075-4701/14/12/1349 |
| work_keys_str_mv | AT christianeggert inclusionbasedmodelcalculatingtoothrootbendingstrengthconsideringsteelcleanliness AT dietermevissen inclusionbasedmodelcalculatingtoothrootbendingstrengthconsideringsteelcleanliness AT christianwestphal inclusionbasedmodelcalculatingtoothrootbendingstrengthconsideringsteelcleanliness AT christianbrecher inclusionbasedmodelcalculatingtoothrootbendingstrengthconsideringsteelcleanliness |