Stability prediction for milling process with multiple delays using an improved semi-discretization method
Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by mul...
Gespeichert in:
| Veröffentlicht in: | Mathematical methods in the applied sciences 2016-03, Vol.39 (4), p.949-958 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 958 |
|---|---|
| container_issue | 4 |
| container_start_page | 949 |
| container_title | Mathematical methods in the applied sciences |
| container_volume | 39 |
| creator | Jin, Gang Qi, Houjun Cai, Yujun Zhang, Qichang |
| description | Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi‐discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparisonwith prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency. Copyright © 2015 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/mma.3543 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1800487355</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3946292291</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4343-727b365bd66eed1b28a852aa3e7a814cef9c878b72926a6d0581af56c753451b3</originalsourceid><addsrcrecordid>eNp10F9rFDEUBfAgFdxWwY8Q8MWXafM_mcey6Cq0ilbxMWRm7tisycw2yVjXT9-sFaWCTxcuPw6Hg9BzSk4pIewsRnfKpeCP0IqStm2o0OoIrQjVpBGMiifoOOctIcRQylZoe1Vc54Mve7xLMPi--HnC45xw9CH46Wt9zz3kjG99ucZxCcXvAuABgttnvOQDcRP2sbrvMOAM0TeDz32C4n-6X3ERyvU8PEWPRxcyPPt9T9Dn168-rd80F-83b9fnF00vuOCNZrrjSnaDUgAD7ZhxRjLnOGhnqOhhbHujTadZy5RTA5GGulGqXksuJO34CXp5n1sb3SyQi421DoTgJpiXbKkhRBjNpaz0xT90Oy9pqu0s1Ypz3hJB_gb2ac45wWh3yUeX9pYSexjd1tHtYfRKm3t66wPs_-vs5eX5Q-9zgR9_vEvfrNJcS_vl3aYWvmIf1x-M3fA7A3SS5A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1763339040</pqid></control><display><type>article</type><title>Stability prediction for milling process with multiple delays using an improved semi-discretization method</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Jin, Gang ; Qi, Houjun ; Cai, Yujun ; Zhang, Qichang</creator><creatorcontrib>Jin, Gang ; Qi, Houjun ; Cai, Yujun ; Zhang, Qichang</creatorcontrib><description>Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi‐discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparisonwith prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency. Copyright © 2015 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0170-4214</identifier><identifier>EISSN: 1099-1476</identifier><identifier>DOI: 10.1002/mma.3543</identifier><identifier>CODEN: MMSCDB</identifier><language>eng</language><publisher>Freiburg: Blackwell Publishing Ltd</publisher><subject>Computational efficiency ; Convergence ; Delay ; Mathematical analysis ; Mathematical models ; Milling (machining) ; milling chatter ; multiple delays ; runout ; semi-discretization method ; Stability ; Tool wear ; variable pitch cutter</subject><ispartof>Mathematical methods in the applied sciences, 2016-03, Vol.39 (4), p.949-958</ispartof><rights>Copyright © 2015 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2016 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4343-727b365bd66eed1b28a852aa3e7a814cef9c878b72926a6d0581af56c753451b3</citedby><cites>FETCH-LOGICAL-c4343-727b365bd66eed1b28a852aa3e7a814cef9c878b72926a6d0581af56c753451b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1411,27901,27902</link.rule.ids></links><search><creatorcontrib>Jin, Gang</creatorcontrib><creatorcontrib>Qi, Houjun</creatorcontrib><creatorcontrib>Cai, Yujun</creatorcontrib><creatorcontrib>Zhang, Qichang</creatorcontrib><title>Stability prediction for milling process with multiple delays using an improved semi-discretization method</title><title>Mathematical methods in the applied sciences</title><addtitle>Math. Meth. Appl. Sci</addtitle><description>Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi‐discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparisonwith prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency. Copyright © 2015 John Wiley & Sons, Ltd.</description><subject>Computational efficiency</subject><subject>Convergence</subject><subject>Delay</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Milling (machining)</subject><subject>milling chatter</subject><subject>multiple delays</subject><subject>runout</subject><subject>semi-discretization method</subject><subject>Stability</subject><subject>Tool wear</subject><subject>variable pitch cutter</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp10F9rFDEUBfAgFdxWwY8Q8MWXafM_mcey6Cq0ilbxMWRm7tisycw2yVjXT9-sFaWCTxcuPw6Hg9BzSk4pIewsRnfKpeCP0IqStm2o0OoIrQjVpBGMiifoOOctIcRQylZoe1Vc54Mve7xLMPi--HnC45xw9CH46Wt9zz3kjG99ucZxCcXvAuABgttnvOQDcRP2sbrvMOAM0TeDz32C4n-6X3ERyvU8PEWPRxcyPPt9T9Dn168-rd80F-83b9fnF00vuOCNZrrjSnaDUgAD7ZhxRjLnOGhnqOhhbHujTadZy5RTA5GGulGqXksuJO34CXp5n1sb3SyQi421DoTgJpiXbKkhRBjNpaz0xT90Oy9pqu0s1Ypz3hJB_gb2ac45wWh3yUeX9pYSexjd1tHtYfRKm3t66wPs_-vs5eX5Q-9zgR9_vEvfrNJcS_vl3aYWvmIf1x-M3fA7A3SS5A</recordid><startdate>201603</startdate><enddate>201603</enddate><creator>Jin, Gang</creator><creator>Qi, Houjun</creator><creator>Cai, Yujun</creator><creator>Zhang, Qichang</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope></search><sort><creationdate>201603</creationdate><title>Stability prediction for milling process with multiple delays using an improved semi-discretization method</title><author>Jin, Gang ; Qi, Houjun ; Cai, Yujun ; Zhang, Qichang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4343-727b365bd66eed1b28a852aa3e7a814cef9c878b72926a6d0581af56c753451b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Computational efficiency</topic><topic>Convergence</topic><topic>Delay</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Milling (machining)</topic><topic>milling chatter</topic><topic>multiple delays</topic><topic>runout</topic><topic>semi-discretization method</topic><topic>Stability</topic><topic>Tool wear</topic><topic>variable pitch cutter</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jin, Gang</creatorcontrib><creatorcontrib>Qi, Houjun</creatorcontrib><creatorcontrib>Cai, Yujun</creatorcontrib><creatorcontrib>Zhang, Qichang</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jin, Gang</au><au>Qi, Houjun</au><au>Cai, Yujun</au><au>Zhang, Qichang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability prediction for milling process with multiple delays using an improved semi-discretization method</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><addtitle>Math. Meth. Appl. Sci</addtitle><date>2016-03</date><risdate>2016</risdate><volume>39</volume><issue>4</issue><spage>949</spage><epage>958</epage><pages>949-958</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><coden>MMSCDB</coden><abstract>Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi‐discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparisonwith prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency. Copyright © 2015 John Wiley & Sons, Ltd.</abstract><cop>Freiburg</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/mma.3543</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0170-4214 |
| ispartof | Mathematical methods in the applied sciences, 2016-03, Vol.39 (4), p.949-958 |
| issn | 0170-4214 1099-1476 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1800487355 |
| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Computational efficiency Convergence Delay Mathematical analysis Mathematical models Milling (machining) milling chatter multiple delays runout semi-discretization method Stability Tool wear variable pitch cutter |
| title | Stability prediction for milling process with multiple delays using an improved semi-discretization method |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T16%3A32%3A56IST&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=Stability%20prediction%20for%20milling%20process%20with%20multiple%20delays%20using%20an%20improved%20semi-discretization%20method&rft.jtitle=Mathematical%20methods%20in%20the%20applied%20sciences&rft.au=Jin,%20Gang&rft.date=2016-03&rft.volume=39&rft.issue=4&rft.spage=949&rft.epage=958&rft.pages=949-958&rft.issn=0170-4214&rft.eissn=1099-1476&rft.coden=MMSCDB&rft_id=info:doi/10.1002/mma.3543&rft_dat=%3Cproquest_cross%3E3946292291%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=1763339040&rft_id=info:pmid/&rfr_iscdi=true |