Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number
This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori da...
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Danilov, M. F. [verfasserIn] |
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Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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Enthalten in: Measurement techniques - Springer US, 1958, 64(2021), 9 vom: Dez., Seite 711-717 |
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volume:64 ; year:2021 ; number:9 ; month:12 ; pages:711-717 |
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10.1007/s11018-022-01993-x |
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10.1007/s11018-022-01993-x doi (DE-627)OLC2078067113 (DE-He213)s11018-022-01993-x-p DE-627 ger DE-627 rakwb eng 620 VZ 11 ssgn Danilov, M. F. verfasserin aut Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022 This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of the model and experimental results are verified by the Monte Carlo method using an especially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. The roundness characteristic is also investigated. The influence of the parameters of regular structures and the aspects of the technological processes of manufacturing of control point coordinates is revealed. Fourier analysis is performed to identify and quantify regular structures on the surface. This article also presents error sources that have a significant impact on the measurement results of the shape characteristics of products’ geometric elements. Based on the statistical calculation results, the dependence of the measurement error of the shape characteristics on the control point number is analyzed, and the scope of the application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. This study can be of use by specialists in the field of practical coordinate metrology and related fields. coordinate measurement error simulation modeling statistical analysis Ivanova, A. P. aut Enthalten in Measurement techniques Springer US, 1958 64(2021), 9 vom: Dez., Seite 711-717 (DE-627)129596876 (DE-600)240846-6 (DE-576)015090051 0543-1972 nnns volume:64 year:2021 number:9 month:12 pages:711-717 https://doi.org/10.1007/s11018-022-01993-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 64 2021 9 12 711-717 |
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10.1007/s11018-022-01993-x doi (DE-627)OLC2078067113 (DE-He213)s11018-022-01993-x-p DE-627 ger DE-627 rakwb eng 620 VZ 11 ssgn Danilov, M. F. verfasserin aut Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2022 This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of the model and experimental results are verified by the Monte Carlo method using an especially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. The roundness characteristic is also investigated. The influence of the parameters of regular structures and the aspects of the technological processes of manufacturing of control point coordinates is revealed. Fourier analysis is performed to identify and quantify regular structures on the surface. This article also presents error sources that have a significant impact on the measurement results of the shape characteristics of products’ geometric elements. Based on the statistical calculation results, the dependence of the measurement error of the shape characteristics on the control point number is analyzed, and the scope of the application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. This study can be of use by specialists in the field of practical coordinate metrology and related fields. coordinate measurement error simulation modeling statistical analysis Ivanova, A. P. aut Enthalten in Measurement techniques Springer US, 1958 64(2021), 9 vom: Dez., Seite 711-717 (DE-627)129596876 (DE-600)240846-6 (DE-576)015090051 0543-1972 nnns volume:64 year:2021 number:9 month:12 pages:711-717 https://doi.org/10.1007/s11018-022-01993-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 64 2021 9 12 711-717 |
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This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of the model and experimental results are verified by the Monte Carlo method using an especially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. The roundness characteristic is also investigated. The influence of the parameters of regular structures and the aspects of the technological processes of manufacturing of control point coordinates is revealed. Fourier analysis is performed to identify and quantify regular structures on the surface. This article also presents error sources that have a significant impact on the measurement results of the shape characteristics of products’ geometric elements. Based on the statistical calculation results, the dependence of the measurement error of the shape characteristics on the control point number is analyzed, and the scope of the application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. This study can be of use by specialists in the field of practical coordinate metrology and related fields. © Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of the model and experimental results are verified by the Monte Carlo method using an especially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. The roundness characteristic is also investigated. The influence of the parameters of regular structures and the aspects of the technological processes of manufacturing of control point coordinates is revealed. Fourier analysis is performed to identify and quantify regular structures on the surface. This article also presents error sources that have a significant impact on the measurement results of the shape characteristics of products’ geometric elements. Based on the statistical calculation results, the dependence of the measurement error of the shape characteristics on the control point number is analyzed, and the scope of the application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. This study can be of use by specialists in the field of practical coordinate metrology and related fields. © Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of the model and experimental results are verified by the Monte Carlo method using an especially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. The roundness characteristic is also investigated. The influence of the parameters of regular structures and the aspects of the technological processes of manufacturing of control point coordinates is revealed. Fourier analysis is performed to identify and quantify regular structures on the surface. This article also presents error sources that have a significant impact on the measurement results of the shape characteristics of products’ geometric elements. Based on the statistical calculation results, the dependence of the measurement error of the shape characteristics on the control point number is analyzed, and the scope of the application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. This study can be of use by specialists in the field of practical coordinate metrology and related fields. © Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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| title_short |
Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number |
| url |
https://doi.org/10.1007/s11018-022-01993-x |
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false |
| author2 |
Ivanova, A. P. |
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Ivanova, A. P. |
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129596876 |
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| doi_str |
10.1007/s11018-022-01993-x |
| up_date |
2024-07-03T18:40:03.193Z |
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1803584277783248896 |
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F.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC, part of Springer Nature 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the control point number, taking into account a given confidence probability. 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