Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process.

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Title: Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process.
Authors: Witkowski, Błażej1 (AUTHOR) blazej.witkowski@p.lodz.pl, Stachurski, Wojciech1 (AUTHOR), Pawłowski, Witold1 (AUTHOR), Sikora, Małgorzata1 (AUTHOR), Kępczak, Norbert1 (AUTHOR) norbert.kepczak@p.lodz.pl
Source: Materials (1996-1944). Jan2025, Vol. 18 Issue 1, p138. 14p.
Subjects: Tangential force, Aluminum oxide, Grinding wheels, Cutting tools, Mathematical models, Dynamometer
Abstract: The article presents the results of research aimed at developing mathematical models for determining the components of grinding force occurring during the sharpening of the rake face of hob cutters. The development of the models was based on the results obtained during experimental tests conducted in the first stage of the research. The studies were carried out using a tool grinder and an aluminum oxide grinding wheel. During the tests, two components of the grinding force were measured, using a piezoelectric dynamometer. A sample made of HS6-5-2 high-speed steel was ground. Grinding was carried out using different sets of cutting parameters. Based on the obtained measurement results, two mathematical models were developed in the form of (1) a multiple regression function and (2) a polynomial function, enabling the calculation of the normal and the tangential force. The experimentally obtained results were then compared with those calculated based on the developed models, and the results of this comparison showed that the developed models provide a good basis for analyzing the sharpening process of hob cutters in terms of variable grinding parameters. [ABSTRACT FROM AUTHOR]
Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process.
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  Data: <searchLink fieldCode="AR" term="%22Witkowski%2C+Błażej%22">Witkowski, Błażej</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> blazej.witkowski@p.lodz.pl</i><br /><searchLink fieldCode="AR" term="%22Stachurski%2C+Wojciech%22">Stachurski, Wojciech</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pawłowski%2C+Witold%22">Pawłowski, Witold</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sikora%2C+Małgorzata%22">Sikora, Małgorzata</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kępczak%2C+Norbert%22">Kępczak, Norbert</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> norbert.kepczak@p.lodz.pl</i>
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  Data: <searchLink fieldCode="JN" term="%22Materials+%281996-1944%29%22">Materials (1996-1944)</searchLink>. Jan2025, Vol. 18 Issue 1, p138. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Tangential+force%22">Tangential force</searchLink><br /><searchLink fieldCode="DE" term="%22Aluminum+oxide%22">Aluminum oxide</searchLink><br /><searchLink fieldCode="DE" term="%22Grinding+wheels%22">Grinding wheels</searchLink><br /><searchLink fieldCode="DE" term="%22Cutting+tools%22">Cutting tools</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamometer%22">Dynamometer</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The article presents the results of research aimed at developing mathematical models for determining the components of grinding force occurring during the sharpening of the rake face of hob cutters. The development of the models was based on the results obtained during experimental tests conducted in the first stage of the research. The studies were carried out using a tool grinder and an aluminum oxide grinding wheel. During the tests, two components of the grinding force were measured, using a piezoelectric dynamometer. A sample made of HS6-5-2 high-speed steel was ground. Grinding was carried out using different sets of cutting parameters. Based on the obtained measurement results, two mathematical models were developed in the form of (1) a multiple regression function and (2) a polynomial function, enabling the calculation of the normal and the tangential force. The experimentally obtained results were then compared with those calculated based on the developed models, and the results of this comparison showed that the developed models provide a good basis for analyzing the sharpening process of hob cutters in terms of variable grinding parameters. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.3390/ma18010138
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 14
        StartPage: 138
    Subjects:
      – SubjectFull: Tangential force
        Type: general
      – SubjectFull: Aluminum oxide
        Type: general
      – SubjectFull: Grinding wheels
        Type: general
      – SubjectFull: Cutting tools
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Dynamometer
        Type: general
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      – TitleFull: Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process.
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          Name:
            NameFull: Witkowski, Błażej
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            NameFull: Stachurski, Wojciech
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            NameFull: Pawłowski, Witold
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            NameFull: Sikora, Małgorzata
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            NameFull: Kępczak, Norbert
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            – D: 01
              M: 01
              Text: Jan2025
              Type: published
              Y: 2025
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            – TitleFull: Materials (1996-1944)
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