3D modelling of kinematic fields in the cutting area: application to milling
The work presented in this article deals with modelling the milling process. The exact position of the cutting edge within the modelling space is determined according to the different angles of orientation during milling, κ r , γ 0 , and λ s as reported by Albert et al. (Int J Adv Manuf Technol 55:8...
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| Veröffentlicht in: | International journal of advanced manufacturing technology 2016-10, Vol.86 (9-12), p.2735-2745 |
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| creator | Yousfi, W. Laheurte, R. Darnis, Ph Cahuc, O. Calamaz, M. |
| description | The work presented in this article deals with modelling the milling process. The exact position of the cutting edge within the modelling space is determined according to the different angles of orientation during milling,
κ
r
,
γ
0
, and
λ
s
as reported by Albert et al. (Int J Adv Manuf Technol 55:843–854, 2011), the cutting edge angle, the rake angle by Merchant (J Appl Phys 16:267–275, 1945) and Oxley (International Journal of Machine Tool Design and Research 1:89–97, 1961), and the cutting edge inclination angle, respectively. For each insert position, the kinematic torsor is determined and any changes are analyzed. The instantaneous variation in kinematic and geometric cutting parameters is determined in the case of end milling with a milling tool with cutting inserts at several representative points on the cutting edge. These parameters represent the input data for an orthogonal cutting model at the point of the cutting edge being considered. The kinematic analysis shows variation of the vector velocity along the cutting edge and variation of the instantaneous feed for a tool rotation. If we consider an orthogonal configuration cutting model for each point of the cutting edge, these variations contribute to define different input data for the orthogonal configuration cutting model (cutting velocity and feed). The results of the cutting force and tangential forces are dependent of the kinematic description along the cutting edge. In a future work, we will discuss the generation of strain and strain rates gradients due to the variation of the velocities along the cutting edge. The variation in linear speed due to the rotation of the tool, the feed speed, and a combination of the two, influences the cutting angle, the clearance angle, and the instantaneous cutting speed
V
corth
. Extra input into the orthogonal cutting model is instantaneous feed. This is determined analytically, based on a geometric representation of the area covered by the tool. The different calculation approaches will be described in this paper with a sensitivity study of the different cutting parameters. |
| doi_str_mv | 10.1007/s00170-016-8396-8 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02021166v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1880866450</sourcerecordid><originalsourceid>FETCH-LOGICAL-c378t-4176b9ffe486c87fce7de1be190e87003eac4956fbb41bf5e48c0874ff4a637a3</originalsourceid><addsrcrecordid>eNp9kT9PwzAQxS0EEqXwAdgsMTEE7uLEdtmq8qdIkVhgthzXbl3SJMQpEt8ehyDEAsuddP69d9Y9Qs4RrhBAXAcAFJAA8kSyWSwHZIIZYwkDzA_JBFIuEya4PCYnIWwjzZHLCSnYLd01K1tVvl7TxtFXX9ud7r2hzttqFaivab-x1Oz7fkB0Z_UN1W1beROxJr42dOe_9KfkyOkq2LPvPiUv93fPi2VSPD08LuZFYpiQfZKh4OXMOZtJbqRwxoqVxdLiDKwUAMxqk81y7soyw9LlkTMgReZcpjkTmk3J5ei70ZVqO7_T3YdqtFfLeaGGGaSQInL-jpG9GNm2a972NvRq2-y7On5PpSlPU8FByv8olBIk51kOkcKRMl0TQmfdz3IENcSgxhhUvK4aYlCDczpqQmTrte1-Of8p-gSiPYg2</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2262276088</pqid></control><display><type>article</type><title>3D modelling of kinematic fields in the cutting area: application to milling</title><source>SpringerLink Journals - AutoHoldings</source><creator>Yousfi, W. ; Laheurte, R. ; Darnis, Ph ; Cahuc, O. ; Calamaz, M.</creator><creatorcontrib>Yousfi, W. ; Laheurte, R. ; Darnis, Ph ; Cahuc, O. ; Calamaz, M.</creatorcontrib><description>The work presented in this article deals with modelling the milling process. The exact position of the cutting edge within the modelling space is determined according to the different angles of orientation during milling,
κ
r
,
γ
0
, and
λ
s
as reported by Albert et al. (Int J Adv Manuf Technol 55:843–854, 2011), the cutting edge angle, the rake angle by Merchant (J Appl Phys 16:267–275, 1945) and Oxley (International Journal of Machine Tool Design and Research 1:89–97, 1961), and the cutting edge inclination angle, respectively. For each insert position, the kinematic torsor is determined and any changes are analyzed. The instantaneous variation in kinematic and geometric cutting parameters is determined in the case of end milling with a milling tool with cutting inserts at several representative points on the cutting edge. These parameters represent the input data for an orthogonal cutting model at the point of the cutting edge being considered. The kinematic analysis shows variation of the vector velocity along the cutting edge and variation of the instantaneous feed for a tool rotation. If we consider an orthogonal configuration cutting model for each point of the cutting edge, these variations contribute to define different input data for the orthogonal configuration cutting model (cutting velocity and feed). The results of the cutting force and tangential forces are dependent of the kinematic description along the cutting edge. In a future work, we will discuss the generation of strain and strain rates gradients due to the variation of the velocities along the cutting edge. The variation in linear speed due to the rotation of the tool, the feed speed, and a combination of the two, influences the cutting angle, the clearance angle, and the instantaneous cutting speed
V
corth
. Extra input into the orthogonal cutting model is instantaneous feed. This is determined analytically, based on a geometric representation of the area covered by the tool. The different calculation approaches will be described in this paper with a sensitivity study of the different cutting parameters.</description><identifier>ISSN: 0268-3768</identifier><identifier>EISSN: 1433-3015</identifier><identifier>DOI: 10.1007/s00170-016-8396-8</identifier><language>eng</language><publisher>London: Springer London</publisher><subject>CAE) and Design ; Computer-Aided Engineering (CAD ; Configurations ; Cutting force ; Cutting parameters ; Cutting speed ; Cutting tools ; End milling cutters ; Engineering ; Inclination angle ; Industrial and Production Engineering ; Inserts ; Kinematics ; Machine tools ; Mathematical models ; Mechanical Engineering ; Mechanics ; Media Management ; Milling (machining) ; Modelling ; Original Article ; Parameter sensitivity ; Physics ; Rake angle ; Rotation ; Three dimensional models ; Velocity</subject><ispartof>International journal of advanced manufacturing technology, 2016-10, Vol.86 (9-12), p.2735-2745</ispartof><rights>Springer-Verlag London 2016</rights><rights>Copyright Springer Science & Business Media 2016</rights><rights>The International Journal of Advanced Manufacturing Technology is a copyright of Springer, (2016). All Rights Reserved.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c378t-4176b9ffe486c87fce7de1be190e87003eac4956fbb41bf5e48c0874ff4a637a3</citedby><cites>FETCH-LOGICAL-c378t-4176b9ffe486c87fce7de1be190e87003eac4956fbb41bf5e48c0874ff4a637a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00170-016-8396-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00170-016-8396-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,780,784,885,27923,27924,41487,42556,51318</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02021166$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Yousfi, W.</creatorcontrib><creatorcontrib>Laheurte, R.</creatorcontrib><creatorcontrib>Darnis, Ph</creatorcontrib><creatorcontrib>Cahuc, O.</creatorcontrib><creatorcontrib>Calamaz, M.</creatorcontrib><title>3D modelling of kinematic fields in the cutting area: application to milling</title><title>International journal of advanced manufacturing technology</title><addtitle>Int J Adv Manuf Technol</addtitle><description>The work presented in this article deals with modelling the milling process. The exact position of the cutting edge within the modelling space is determined according to the different angles of orientation during milling,
κ
r
,
γ
0
, and
λ
s
as reported by Albert et al. (Int J Adv Manuf Technol 55:843–854, 2011), the cutting edge angle, the rake angle by Merchant (J Appl Phys 16:267–275, 1945) and Oxley (International Journal of Machine Tool Design and Research 1:89–97, 1961), and the cutting edge inclination angle, respectively. For each insert position, the kinematic torsor is determined and any changes are analyzed. The instantaneous variation in kinematic and geometric cutting parameters is determined in the case of end milling with a milling tool with cutting inserts at several representative points on the cutting edge. These parameters represent the input data for an orthogonal cutting model at the point of the cutting edge being considered. The kinematic analysis shows variation of the vector velocity along the cutting edge and variation of the instantaneous feed for a tool rotation. If we consider an orthogonal configuration cutting model for each point of the cutting edge, these variations contribute to define different input data for the orthogonal configuration cutting model (cutting velocity and feed). The results of the cutting force and tangential forces are dependent of the kinematic description along the cutting edge. In a future work, we will discuss the generation of strain and strain rates gradients due to the variation of the velocities along the cutting edge. The variation in linear speed due to the rotation of the tool, the feed speed, and a combination of the two, influences the cutting angle, the clearance angle, and the instantaneous cutting speed
V
corth
. Extra input into the orthogonal cutting model is instantaneous feed. This is determined analytically, based on a geometric representation of the area covered by the tool. The different calculation approaches will be described in this paper with a sensitivity study of the different cutting parameters.</description><subject>CAE) and Design</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Configurations</subject><subject>Cutting force</subject><subject>Cutting parameters</subject><subject>Cutting speed</subject><subject>Cutting tools</subject><subject>End milling cutters</subject><subject>Engineering</subject><subject>Inclination angle</subject><subject>Industrial and Production Engineering</subject><subject>Inserts</subject><subject>Kinematics</subject><subject>Machine tools</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Mechanics</subject><subject>Media Management</subject><subject>Milling (machining)</subject><subject>Modelling</subject><subject>Original Article</subject><subject>Parameter sensitivity</subject><subject>Physics</subject><subject>Rake angle</subject><subject>Rotation</subject><subject>Three dimensional models</subject><subject>Velocity</subject><issn>0268-3768</issn><issn>1433-3015</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kT9PwzAQxS0EEqXwAdgsMTEE7uLEdtmq8qdIkVhgthzXbl3SJMQpEt8ehyDEAsuddP69d9Y9Qs4RrhBAXAcAFJAA8kSyWSwHZIIZYwkDzA_JBFIuEya4PCYnIWwjzZHLCSnYLd01K1tVvl7TxtFXX9ud7r2hzttqFaivab-x1Oz7fkB0Z_UN1W1beROxJr42dOe_9KfkyOkq2LPvPiUv93fPi2VSPD08LuZFYpiQfZKh4OXMOZtJbqRwxoqVxdLiDKwUAMxqk81y7soyw9LlkTMgReZcpjkTmk3J5ei70ZVqO7_T3YdqtFfLeaGGGaSQInL-jpG9GNm2a972NvRq2-y7On5PpSlPU8FByv8olBIk51kOkcKRMl0TQmfdz3IENcSgxhhUvK4aYlCDczpqQmTrte1-Of8p-gSiPYg2</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Yousfi, W.</creator><creator>Laheurte, R.</creator><creator>Darnis, Ph</creator><creator>Cahuc, O.</creator><creator>Calamaz, M.</creator><general>Springer London</general><general>Springer Nature B.V</general><general>Springer Verlag</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>1XC</scope></search><sort><creationdate>20161001</creationdate><title>3D modelling of kinematic fields in the cutting area: application to milling</title><author>Yousfi, W. ; Laheurte, R. ; Darnis, Ph ; Cahuc, O. ; Calamaz, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-4176b9ffe486c87fce7de1be190e87003eac4956fbb41bf5e48c0874ff4a637a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>CAE) and Design</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Configurations</topic><topic>Cutting force</topic><topic>Cutting parameters</topic><topic>Cutting speed</topic><topic>Cutting tools</topic><topic>End milling cutters</topic><topic>Engineering</topic><topic>Inclination angle</topic><topic>Industrial and Production Engineering</topic><topic>Inserts</topic><topic>Kinematics</topic><topic>Machine tools</topic><topic>Mathematical models</topic><topic>Mechanical Engineering</topic><topic>Mechanics</topic><topic>Media Management</topic><topic>Milling (machining)</topic><topic>Modelling</topic><topic>Original Article</topic><topic>Parameter sensitivity</topic><topic>Physics</topic><topic>Rake angle</topic><topic>Rotation</topic><topic>Three dimensional models</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yousfi, W.</creatorcontrib><creatorcontrib>Laheurte, R.</creatorcontrib><creatorcontrib>Darnis, Ph</creatorcontrib><creatorcontrib>Cahuc, O.</creatorcontrib><creatorcontrib>Calamaz, M.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</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>Hyper Article en Ligne (HAL)</collection><jtitle>International journal of advanced manufacturing technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yousfi, W.</au><au>Laheurte, R.</au><au>Darnis, Ph</au><au>Cahuc, O.</au><au>Calamaz, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>3D modelling of kinematic fields in the cutting area: application to milling</atitle><jtitle>International journal of advanced manufacturing technology</jtitle><stitle>Int J Adv Manuf Technol</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>86</volume><issue>9-12</issue><spage>2735</spage><epage>2745</epage><pages>2735-2745</pages><issn>0268-3768</issn><eissn>1433-3015</eissn><abstract>The work presented in this article deals with modelling the milling process. The exact position of the cutting edge within the modelling space is determined according to the different angles of orientation during milling,
κ
r
,
γ
0
, and
λ
s
as reported by Albert et al. (Int J Adv Manuf Technol 55:843–854, 2011), the cutting edge angle, the rake angle by Merchant (J Appl Phys 16:267–275, 1945) and Oxley (International Journal of Machine Tool Design and Research 1:89–97, 1961), and the cutting edge inclination angle, respectively. For each insert position, the kinematic torsor is determined and any changes are analyzed. The instantaneous variation in kinematic and geometric cutting parameters is determined in the case of end milling with a milling tool with cutting inserts at several representative points on the cutting edge. These parameters represent the input data for an orthogonal cutting model at the point of the cutting edge being considered. The kinematic analysis shows variation of the vector velocity along the cutting edge and variation of the instantaneous feed for a tool rotation. If we consider an orthogonal configuration cutting model for each point of the cutting edge, these variations contribute to define different input data for the orthogonal configuration cutting model (cutting velocity and feed). The results of the cutting force and tangential forces are dependent of the kinematic description along the cutting edge. In a future work, we will discuss the generation of strain and strain rates gradients due to the variation of the velocities along the cutting edge. The variation in linear speed due to the rotation of the tool, the feed speed, and a combination of the two, influences the cutting angle, the clearance angle, and the instantaneous cutting speed
V
corth
. Extra input into the orthogonal cutting model is instantaneous feed. This is determined analytically, based on a geometric representation of the area covered by the tool. The different calculation approaches will be described in this paper with a sensitivity study of the different cutting parameters.</abstract><cop>London</cop><pub>Springer London</pub><doi>10.1007/s00170-016-8396-8</doi><tpages>11</tpages></addata></record> |
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| ispartof | International journal of advanced manufacturing technology, 2016-10, Vol.86 (9-12), p.2735-2745 |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | CAE) and Design Computer-Aided Engineering (CAD Configurations Cutting force Cutting parameters Cutting speed Cutting tools End milling cutters Engineering Inclination angle Industrial and Production Engineering Inserts Kinematics Machine tools Mathematical models Mechanical Engineering Mechanics Media Management Milling (machining) Modelling Original Article Parameter sensitivity Physics Rake angle Rotation Three dimensional models Velocity |
| title | 3D modelling of kinematic fields in the cutting area: application to milling |
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