Control charts based on models derived from differential equations
Identifieur interne : 001449 ( Istex/Corpus ); précédent : 001448; suivant : 001450Control charts based on models derived from differential equations
Auteurs : Claus Weihs ; Amor Messaoud ; Nils RaabeSource :
- Quality and Reliability Engineering International [ 0748-8017 ] ; 2010-12.
English descriptors
Abstract
The development of technical processes over time can often be adequately modelled by means of differential equations. In order to monitor such processes, control charts may be derived from stochastic models based on such differential equations. In this work, this is demonstrated for a deep‐hole drilling process used for producing holes with a high length‐to‐diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances classified as either chatter vibration or spiraling. For chatter, a differential equation for the drilling torque and a model known to well approximate processes with similar characteristics are used to set up monitoring procedures. For spiraling a control chart can be based on a statistical model for the spectrum of the structure‐born vibrations derived from a differential equation for the deflection of the boring bar. Copyright © 2010 John Wiley & Sons, Ltd.
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DOI: 10.1002/qre.1134
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ISTEX:141AD1E08FFE488165166556BD1FC31F0E4A749DLe document en format XML
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Int.</title><idno type="ISSN">0748-8017</idno><idno type="eISSN">1099-1638</idno><imprint><publisher>John Wiley & Sons, Ltd.</publisher><pubPlace>Chichester, UK</pubPlace><date type="published" when="2010-12">2010-12</date><biblScope unit="volume">26</biblScope><biblScope unit="issue">8</biblScope><biblScope unit="page" from="807">807</biblScope><biblScope unit="page" to="816">816</biblScope></imprint><idno type="ISSN">0748-8017</idno></series><idno type="istex">141AD1E08FFE488165166556BD1FC31F0E4A749D</idno><idno type="DOI">10.1002/qre.1134</idno><idno type="ArticleID">QRE1134</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0748-8017</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>control charts</term><term>differential equations</term><term>drilling process</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The development of technical processes over time can often be adequately modelled by means of differential equations. In order to monitor such processes, control charts may be derived from stochastic models based on such differential equations. In this work, this is demonstrated for a deep‐hole drilling process used for producing holes with a high length‐to‐diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances classified as either chatter vibration or spiraling. For chatter, a differential equation for the drilling torque and a model known to well approximate processes with similar characteristics are used to set up monitoring procedures. For spiraling a control chart can be based on a statistical model for the spectrum of the structure‐born vibrations derived from a differential equation for the deflection of the boring bar. Copyright © 2010 John Wiley & Sons, Ltd.</div></front></TEI><istex><corpusName>wiley</corpusName><author><json:item><name>Claus Weihs</name><affiliations><json:string>Department of Statistics, TU Dortmund University, Germany</json:string><json:string>Department of Statistics, TU Dortmund University, Germany===</json:string></affiliations></json:item><json:item><name>Amor Messaoud</name><affiliations><json:string>Faculty of Juridical, Economic Sciences and Management, Jendouba University, Tunisia</json:string></affiliations></json:item><json:item><name>Nils Raabe</name><affiliations><json:string>Department of Statistics, TU Dortmund University, Germany</json:string></affiliations></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>differential equations</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>control charts</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>drilling process</value></json:item></subject><articleId><json:string>QRE1134</json:string></articleId><language><json:string>eng</json:string></language><originalGenre><json:string>article</json:string></originalGenre><abstract>The development of technical processes over time can often be adequately modelled by means of differential equations. In order to monitor such processes, control charts may be derived from stochastic models based on such differential equations. In this work, this is demonstrated for a deep‐hole drilling process used for producing holes with a high length‐to‐diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances classified as either chatter vibration or spiraling. For chatter, a differential equation for the drilling torque and a model known to well approximate processes with similar characteristics are used to set up monitoring procedures. For spiraling a control chart can be based on a statistical model for the spectrum of the structure‐born vibrations derived from a differential equation for the deflection of the boring bar. Copyright © 2010 John Wiley & Sons, Ltd.</abstract><qualityIndicators><score>6.692</score><pdfVersion>1.3</pdfVersion><pdfPageSize>595.276 x 790.866 pts</pdfPageSize><refBibsNative>true</refBibsNative><abstractCharCount>925</abstractCharCount><pdfWordCount>6757</pdfWordCount><pdfCharCount>37299</pdfCharCount><pdfPageCount>10</pdfPageCount><abstractWordCount>141</abstractWordCount></qualityIndicators><title>Control charts based on models derived from differential equations</title><refBibs><json:item><host><author></author><title>Analysis prediction of dynamic disturbances of the BTA deep hole drilling process</title></host></json:item><json:item><host><author></author><title>Theis W. Modelling varying amplitudes. PhD Dissertation, Department of Statistics, University of Dortmund 2004. Available at: http://eldorado.uni‐dormund.de:8080/FB5/ls7/forschung/2004/Theis [15 January 2010].</title></host></json:item><json:item><host><author></author><title>Messaoud A. 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In order to monitor such processes, control charts may be derived from stochastic models based on such differential equations. In this work, this is demonstrated for a deep‐hole drilling process used for producing holes with a high length‐to‐diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances classified as either chatter vibration or spiraling. For chatter, a differential equation for the drilling torque and a model known to well approximate processes with similar characteristics are used to set up monitoring procedures. For spiraling a control chart can be based on a statistical model for the spectrum of the structure‐born vibrations derived from a differential equation for the deflection of the boring bar. Copyright © 2010 John Wiley & Sons, Ltd.</p></abstract></abstractGroup></contentMeta></header></component></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Control charts based on models derived from differential equations</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Control charts based on models derived from differential equations</title></titleInfo><name type="personal"><namePart type="given">Claus</namePart><namePart type="family">Weihs</namePart><affiliation>Department of Statistics, TU Dortmund University, Germany</affiliation><affiliation>Department of Statistics, TU Dortmund University, Germany===</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Amor</namePart><namePart type="family">Messaoud</namePart><affiliation>Faculty of Juridical, Economic Sciences and Management, Jendouba University, Tunisia</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Nils</namePart><namePart type="family">Raabe</namePart><affiliation>Department of Statistics, TU Dortmund University, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="article" displayLabel="article"></genre><originInfo><publisher>John Wiley & Sons, Ltd.</publisher><place><placeTerm type="text">Chichester, UK</placeTerm></place><dateIssued encoding="w3cdtf">2010-12</dateIssued><copyrightDate encoding="w3cdtf">2010</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType><extent unit="figures">5</extent><extent unit="tables">5</extent><extent unit="references">18</extent></physicalDescription><abstract lang="en">The development of technical processes over time can often be adequately modelled by means of differential equations. In order to monitor such processes, control charts may be derived from stochastic models based on such differential equations. In this work, this is demonstrated for a deep‐hole drilling process used for producing holes with a high length‐to‐diameter ratio, good surface finish and straightness. The process is subject to dynamic disturbances classified as either chatter vibration or spiraling. For chatter, a differential equation for the drilling torque and a model known to well approximate processes with similar characteristics are used to set up monitoring procedures. For spiraling a control chart can be based on a statistical model for the spectrum of the structure‐born vibrations derived from a differential equation for the deflection of the boring bar. Copyright © 2010 John Wiley & Sons, Ltd.</abstract><subject lang="en"><genre>keywords</genre><topic>differential equations</topic><topic>control charts</topic><topic>drilling process</topic></subject><relatedItem type="host"><titleInfo><title>Quality and Reliability Engineering International</title></titleInfo><titleInfo type="abbreviated"><title>Qual. Reliab. Engng. Int.</title></titleInfo><name type="personal"><namePart type="given">Rainer</namePart><namePart type="family">Gob</namePart></name><genre type="journal">journal</genre><subject><genre>article-category</genre><topic>Research Article</topic></subject><identifier type="ISSN">0748-8017</identifier><identifier type="eISSN">1099-1638</identifier><identifier type="DOI">10.1002/(ISSN)1099-1638</identifier><identifier type="PublisherID">QRE</identifier><part><date>2010</date><detail type="title"><title>Business and Industrial Statistics: Developments and Industrial Practices in Quality and Reliability</title></detail><detail type="volume"><caption>vol.</caption><number>26</number></detail><detail type="issue"><caption>no.</caption><number>8</number></detail><extent unit="pages"><start>807</start><end>816</end><total>10</total></extent></part></relatedItem><identifier type="istex">141AD1E08FFE488165166556BD1FC31F0E4A749D</identifier><identifier type="DOI">10.1002/qre.1134</identifier><identifier type="ArticleID">QRE1134</identifier><accessCondition type="use and reproduction" contentType="copyright">Copyright © 2010 John Wiley & Sons, Ltd.</accessCondition><recordInfo><recordContentSource>WILEY</recordContentSource><recordOrigin>John Wiley & Sons, Ltd.</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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