Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies
We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling an...
Gespeichert in:
| Veröffentlicht in: | European journal of applied mathematics 2018-10, Vol.29 (5), p.805-825 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 825 |
|---|---|
| container_issue | 5 |
| container_start_page | 805 |
| container_title | European journal of applied mathematics |
| container_volume | 29 |
| creator | VAZIRI, VAHID KAPITANIAK, MARCIN WIERCIGROCH, MARIAN |
| description | We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling and Analysis of BHA and Drill-string Vibrations) and using commercial Polycrystalline Diamond Compact (PDC) drill-bits and rock-samples. A mathematical model of the experimental setup, which takes into account the dynamics of the drill-string and the driving motor, is constructed. Physical parameters of the experimental rig are identified in order to calibrate the mathematical model and consequently to ensure robust predictions and a close agreement between experimental and numerical results for stick–slip vibration is shown. Then, a sliding mode control method is employed to suppress stick–slip vibration. A special attention is paid to prove the Lyapunov stability of the controller in presence of model parameter uncertainties by defining a robust Lyapunov function. Again experimental and numerical results for the control cases are in a close agreement. Stick–slip vibration is eliminated and a significant reduction in vibration amplitude has been observed when using the sliding controller. |
| doi_str_mv | 10.1017/S0956792518000232 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2092568956</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_S0956792518000232</cupid><sourcerecordid>2092568956</sourcerecordid><originalsourceid>FETCH-LOGICAL-c360t-a7646591b2c2c652980f48eb7934e22b2724a7bb0070b4804e3b1bc8652a58ab3</originalsourceid><addsrcrecordid>eNp1kM9KxDAQxoMouK4-gLeA5-okTZvWmyz-g0UPq-eSpOmStW1qkop78x18Q5_EFBc8iKdh5vt9M8OH0CmBcwKEX6ygzHJe0owUAEBTuodmhOVlwhjN9tFskpNJP0RH3m8ASAq8nKF-NQ6D094b22Pb4NqZtk18cKZfYx-Mevn6-PStGfCbkU6ECZNbHCf1RHS21ljZPjjbXuKHsdPOKNFi0ddYvw-x63Qf4sCHsTbaH6ODRrRen-zqHD3fXD8t7pLl4-394mqZqDSHkAieszwriaSKqjyjZQENK7TkZco0pZJyygSXEoCDZAUwnUoiVRFRkRVCpnN09rN3cPZ11D5UGzu6Pp6sKMQU8iLmESnyQylnvXe6qYb4sHDbikA1xVr9iTV60p1HdNKZeq1_V__v-gZuVXut</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2092568956</pqid></control><display><type>article</type><title>Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies</title><source>Cambridge University Press Journals Complete</source><creator>VAZIRI, VAHID ; KAPITANIAK, MARCIN ; WIERCIGROCH, MARIAN</creator><creatorcontrib>VAZIRI, VAHID ; KAPITANIAK, MARCIN ; WIERCIGROCH, MARIAN</creatorcontrib><description>We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling and Analysis of BHA and Drill-string Vibrations) and using commercial Polycrystalline Diamond Compact (PDC) drill-bits and rock-samples. A mathematical model of the experimental setup, which takes into account the dynamics of the drill-string and the driving motor, is constructed. Physical parameters of the experimental rig are identified in order to calibrate the mathematical model and consequently to ensure robust predictions and a close agreement between experimental and numerical results for stick–slip vibration is shown. Then, a sliding mode control method is employed to suppress stick–slip vibration. A special attention is paid to prove the Lyapunov stability of the controller in presence of model parameter uncertainties by defining a robust Lyapunov function. Again experimental and numerical results for the control cases are in a close agreement. Stick–slip vibration is eliminated and a significant reduction in vibration amplitude has been observed when using the sliding controller.</description><identifier>ISSN: 0956-7925</identifier><identifier>EISSN: 1469-4425</identifier><identifier>DOI: 10.1017/S0956792518000232</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Applied mathematics ; Control stability ; Diamond drills ; Diamond tools ; Diamonds ; Drill bits ; Drillstrings ; Liapunov functions ; Mathematical models ; Parameter identification ; Parameter uncertainty ; Physical properties ; Polycrystalline diamond ; Robustness (mathematics) ; Sliding mode control ; Slip ; Torsional vibration ; Vibration ; Vibration control</subject><ispartof>European journal of applied mathematics, 2018-10, Vol.29 (5), p.805-825</ispartof><rights>Copyright © Cambridge University Press 2018</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-a7646591b2c2c652980f48eb7934e22b2724a7bb0070b4804e3b1bc8652a58ab3</citedby><cites>FETCH-LOGICAL-c360t-a7646591b2c2c652980f48eb7934e22b2724a7bb0070b4804e3b1bc8652a58ab3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0956792518000232/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids></links><search><creatorcontrib>VAZIRI, VAHID</creatorcontrib><creatorcontrib>KAPITANIAK, MARCIN</creatorcontrib><creatorcontrib>WIERCIGROCH, MARIAN</creatorcontrib><title>Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies</title><title>European journal of applied mathematics</title><addtitle>Eur. J. Appl. Math</addtitle><description>We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling and Analysis of BHA and Drill-string Vibrations) and using commercial Polycrystalline Diamond Compact (PDC) drill-bits and rock-samples. A mathematical model of the experimental setup, which takes into account the dynamics of the drill-string and the driving motor, is constructed. Physical parameters of the experimental rig are identified in order to calibrate the mathematical model and consequently to ensure robust predictions and a close agreement between experimental and numerical results for stick–slip vibration is shown. Then, a sliding mode control method is employed to suppress stick–slip vibration. A special attention is paid to prove the Lyapunov stability of the controller in presence of model parameter uncertainties by defining a robust Lyapunov function. Again experimental and numerical results for the control cases are in a close agreement. Stick–slip vibration is eliminated and a significant reduction in vibration amplitude has been observed when using the sliding controller.</description><subject>Applied mathematics</subject><subject>Control stability</subject><subject>Diamond drills</subject><subject>Diamond tools</subject><subject>Diamonds</subject><subject>Drill bits</subject><subject>Drillstrings</subject><subject>Liapunov functions</subject><subject>Mathematical models</subject><subject>Parameter identification</subject><subject>Parameter uncertainty</subject><subject>Physical properties</subject><subject>Polycrystalline diamond</subject><subject>Robustness (mathematics)</subject><subject>Sliding mode control</subject><subject>Slip</subject><subject>Torsional vibration</subject><subject>Vibration</subject><subject>Vibration control</subject><issn>0956-7925</issn><issn>1469-4425</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kM9KxDAQxoMouK4-gLeA5-okTZvWmyz-g0UPq-eSpOmStW1qkop78x18Q5_EFBc8iKdh5vt9M8OH0CmBcwKEX6ygzHJe0owUAEBTuodmhOVlwhjN9tFskpNJP0RH3m8ASAq8nKF-NQ6D094b22Pb4NqZtk18cKZfYx-Mevn6-PStGfCbkU6ECZNbHCf1RHS21ljZPjjbXuKHsdPOKNFi0ddYvw-x63Qf4sCHsTbaH6ODRrRen-zqHD3fXD8t7pLl4-394mqZqDSHkAieszwriaSKqjyjZQENK7TkZco0pZJyygSXEoCDZAUwnUoiVRFRkRVCpnN09rN3cPZ11D5UGzu6Pp6sKMQU8iLmESnyQylnvXe6qYb4sHDbikA1xVr9iTV60p1HdNKZeq1_V__v-gZuVXut</recordid><startdate>201810</startdate><enddate>201810</enddate><creator>VAZIRI, VAHID</creator><creator>KAPITANIAK, MARCIN</creator><creator>WIERCIGROCH, MARIAN</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>201810</creationdate><title>Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies</title><author>VAZIRI, VAHID ; KAPITANIAK, MARCIN ; WIERCIGROCH, MARIAN</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-a7646591b2c2c652980f48eb7934e22b2724a7bb0070b4804e3b1bc8652a58ab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applied mathematics</topic><topic>Control stability</topic><topic>Diamond drills</topic><topic>Diamond tools</topic><topic>Diamonds</topic><topic>Drill bits</topic><topic>Drillstrings</topic><topic>Liapunov functions</topic><topic>Mathematical models</topic><topic>Parameter identification</topic><topic>Parameter uncertainty</topic><topic>Physical properties</topic><topic>Polycrystalline diamond</topic><topic>Robustness (mathematics)</topic><topic>Sliding mode control</topic><topic>Slip</topic><topic>Torsional vibration</topic><topic>Vibration</topic><topic>Vibration control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>VAZIRI, VAHID</creatorcontrib><creatorcontrib>KAPITANIAK, MARCIN</creatorcontrib><creatorcontrib>WIERCIGROCH, MARIAN</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>European journal of applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>VAZIRI, VAHID</au><au>KAPITANIAK, MARCIN</au><au>WIERCIGROCH, MARIAN</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies</atitle><jtitle>European journal of applied mathematics</jtitle><addtitle>Eur. J. Appl. Math</addtitle><date>2018-10</date><risdate>2018</risdate><volume>29</volume><issue>5</issue><spage>805</spage><epage>825</epage><pages>805-825</pages><issn>0956-7925</issn><eissn>1469-4425</eissn><abstract>We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling and Analysis of BHA and Drill-string Vibrations) and using commercial Polycrystalline Diamond Compact (PDC) drill-bits and rock-samples. A mathematical model of the experimental setup, which takes into account the dynamics of the drill-string and the driving motor, is constructed. Physical parameters of the experimental rig are identified in order to calibrate the mathematical model and consequently to ensure robust predictions and a close agreement between experimental and numerical results for stick–slip vibration is shown. Then, a sliding mode control method is employed to suppress stick–slip vibration. A special attention is paid to prove the Lyapunov stability of the controller in presence of model parameter uncertainties by defining a robust Lyapunov function. Again experimental and numerical results for the control cases are in a close agreement. Stick–slip vibration is eliminated and a significant reduction in vibration amplitude has been observed when using the sliding controller.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0956792518000232</doi><tpages>21</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0956-7925 |
| ispartof | European journal of applied mathematics, 2018-10, Vol.29 (5), p.805-825 |
| issn | 0956-7925 1469-4425 |
| language | eng |
| recordid | cdi_proquest_journals_2092568956 |
| source | Cambridge University Press Journals Complete |
| subjects | Applied mathematics Control stability Diamond drills Diamond tools Diamonds Drill bits Drillstrings Liapunov functions Mathematical models Parameter identification Parameter uncertainty Physical properties Polycrystalline diamond Robustness (mathematics) Sliding mode control Slip Torsional vibration Vibration Vibration control |
| title | Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T13%3A37%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Suppression%20of%20drill-string%20stick%E2%80%93slip%20vibration%20by%20sliding%20mode%20control:%20Numerical%20and%20experimental%20studies&rft.jtitle=European%20journal%20of%20applied%20mathematics&rft.au=VAZIRI,%20VAHID&rft.date=2018-10&rft.volume=29&rft.issue=5&rft.spage=805&rft.epage=825&rft.pages=805-825&rft.issn=0956-7925&rft.eissn=1469-4425&rft_id=info:doi/10.1017/S0956792518000232&rft_dat=%3Cproquest_cross%3E2092568956%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2092568956&rft_id=info:pmid/&rft_cupid=10_1017_S0956792518000232&rfr_iscdi=true |