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Automation of layout design of spiral conical scans
In this paper the authors solve the problem of dense layout on the infinite plane of the spiral scans of the side surface of a straight circular truncated cone. The boundaries of the spiral scans are arcs of circles and spirals of Archimedes. A full scan of the side surface of the cone is a single p...
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creator | Byrdina, Marina V. Bekmurzaev, Lema A. Mitsik, Mikhail F. Kelekhsaev, Dmitry B. Kondratenko, Anatoly I. |
description | In this paper the authors solve the problem of dense layout on the infinite plane of the spiral scans of the side surface of a straight circular truncated cone. The boundaries of the spiral scans are arcs of circles and spirals of Archimedes. A full scan of the side surface of the cone is a single part. The approach of finding a dense layout by means of implementation of transformations of rotation of figures and their parallel transfer in the Maple 2015 is offered. As an example of the surface, the surface of a conical spiral antenna or the surface of a woman's skirt can be considered. It is shown that for the proposed layout of the spiral scan the proportion of cuttings is equal to 5.3%, and for straight conical scans of the same lateral surface is 10.2%. Thus, the proposed method of layout of the spiral scans in the plane allows to reduce the proportion of cuttings by almost 5%. |
doi_str_mv | 10.1109/EWDTS.2019.8884468 |
format | conference_proceeding |
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The boundaries of the spiral scans are arcs of circles and spirals of Archimedes. A full scan of the side surface of the cone is a single part. The approach of finding a dense layout by means of implementation of transformations of rotation of figures and their parallel transfer in the Maple 2015 is offered. As an example of the surface, the surface of a conical spiral antenna or the surface of a woman's skirt can be considered. It is shown that for the proposed layout of the spiral scan the proportion of cuttings is equal to 5.3%, and for straight conical scans of the same lateral surface is 10.2%. Thus, the proposed method of layout of the spiral scans in the plane allows to reduce the proportion of cuttings by almost 5%.</description><identifier>EISSN: 2472-761X</identifier><identifier>EISBN: 1728110033</identifier><identifier>EISBN: 9781728110035</identifier><identifier>DOI: 10.1109/EWDTS.2019.8884468</identifier><language>eng</language><publisher>IEEE</publisher><subject>Antennas ; dense layout ; Gears ; infinite plane ; Layout ; model of a female figure and antenna ; Solid modeling ; spiral scans ; Spirals ; straight cone ; Surface treatment ; the percentage of cuttings</subject><ispartof>2019 IEEE East-West Design & Test Symposium (EWDTS), 2019, p.1-4</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8884468$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,778,782,787,788,23913,23914,25123,27908,54538,54915</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8884468$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Byrdina, Marina V.</creatorcontrib><creatorcontrib>Bekmurzaev, Lema A.</creatorcontrib><creatorcontrib>Mitsik, Mikhail F.</creatorcontrib><creatorcontrib>Kelekhsaev, Dmitry B.</creatorcontrib><creatorcontrib>Kondratenko, Anatoly I.</creatorcontrib><title>Automation of layout design of spiral conical scans</title><title>2019 IEEE East-West Design & Test Symposium (EWDTS)</title><addtitle>EWDTS</addtitle><description>In this paper the authors solve the problem of dense layout on the infinite plane of the spiral scans of the side surface of a straight circular truncated cone. The boundaries of the spiral scans are arcs of circles and spirals of Archimedes. A full scan of the side surface of the cone is a single part. The approach of finding a dense layout by means of implementation of transformations of rotation of figures and their parallel transfer in the Maple 2015 is offered. As an example of the surface, the surface of a conical spiral antenna or the surface of a woman's skirt can be considered. It is shown that for the proposed layout of the spiral scan the proportion of cuttings is equal to 5.3%, and for straight conical scans of the same lateral surface is 10.2%. Thus, the proposed method of layout of the spiral scans in the plane allows to reduce the proportion of cuttings by almost 5%.</description><subject>Antennas</subject><subject>dense layout</subject><subject>Gears</subject><subject>infinite plane</subject><subject>Layout</subject><subject>model of a female figure and antenna</subject><subject>Solid modeling</subject><subject>spiral scans</subject><subject>Spirals</subject><subject>straight cone</subject><subject>Surface treatment</subject><subject>the percentage of cuttings</subject><issn>2472-761X</issn><isbn>1728110033</isbn><isbn>9781728110035</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2019</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNotj81KAzEURqMgWNu-gG7mBWbMTWaSm2Wp9QcKLmzRXbmTH4lMJ2UyXfTtLdrVge_AB4exe-AVADePq8-nzUclOJgKEeta4RW7Ay3wbLmU12wiai1KreDrls1z_uGcg4LGCJgwuTiOaU9jTH2RQtHRKR3Hwvkcv_-GfIgDdYVNfbRnZkt9nrGbQF328wunbPu82ixfy_X7y9tysS4jAI6lIyGaug2IzmnhNdhGBSvblkMgMMqRtM5KAyEEbIAcSqOM1FZwUiQaOWUP_7_Re787DHFPw2l3aZS_NTJFtg</recordid><startdate>201909</startdate><enddate>201909</enddate><creator>Byrdina, Marina V.</creator><creator>Bekmurzaev, Lema A.</creator><creator>Mitsik, Mikhail F.</creator><creator>Kelekhsaev, Dmitry B.</creator><creator>Kondratenko, Anatoly I.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201909</creationdate><title>Automation of layout design of spiral conical scans</title><author>Byrdina, Marina V. ; Bekmurzaev, Lema A. ; Mitsik, Mikhail F. ; Kelekhsaev, Dmitry B. ; Kondratenko, Anatoly I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i118t-da2254bf88dd72e71c56fc3bb01fa196da3cdc391fff851ad8396937c20a6a253</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Antennas</topic><topic>dense layout</topic><topic>Gears</topic><topic>infinite plane</topic><topic>Layout</topic><topic>model of a female figure and antenna</topic><topic>Solid modeling</topic><topic>spiral scans</topic><topic>Spirals</topic><topic>straight cone</topic><topic>Surface treatment</topic><topic>the percentage of cuttings</topic><toplevel>online_resources</toplevel><creatorcontrib>Byrdina, Marina V.</creatorcontrib><creatorcontrib>Bekmurzaev, Lema A.</creatorcontrib><creatorcontrib>Mitsik, Mikhail F.</creatorcontrib><creatorcontrib>Kelekhsaev, Dmitry B.</creatorcontrib><creatorcontrib>Kondratenko, Anatoly I.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Byrdina, Marina V.</au><au>Bekmurzaev, Lema A.</au><au>Mitsik, Mikhail F.</au><au>Kelekhsaev, Dmitry B.</au><au>Kondratenko, Anatoly I.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Automation of layout design of spiral conical scans</atitle><btitle>2019 IEEE East-West Design & Test Symposium (EWDTS)</btitle><stitle>EWDTS</stitle><date>2019-09</date><risdate>2019</risdate><spage>1</spage><epage>4</epage><pages>1-4</pages><eissn>2472-761X</eissn><eisbn>1728110033</eisbn><eisbn>9781728110035</eisbn><abstract>In this paper the authors solve the problem of dense layout on the infinite plane of the spiral scans of the side surface of a straight circular truncated cone. The boundaries of the spiral scans are arcs of circles and spirals of Archimedes. A full scan of the side surface of the cone is a single part. The approach of finding a dense layout by means of implementation of transformations of rotation of figures and their parallel transfer in the Maple 2015 is offered. As an example of the surface, the surface of a conical spiral antenna or the surface of a woman's skirt can be considered. It is shown that for the proposed layout of the spiral scan the proportion of cuttings is equal to 5.3%, and for straight conical scans of the same lateral surface is 10.2%. Thus, the proposed method of layout of the spiral scans in the plane allows to reduce the proportion of cuttings by almost 5%.</abstract><pub>IEEE</pub><doi>10.1109/EWDTS.2019.8884468</doi><tpages>4</tpages></addata></record> |
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ispartof | 2019 IEEE East-West Design & Test Symposium (EWDTS), 2019, p.1-4 |
issn | 2472-761X |
language | eng |
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source | IEEE Xplore All Conference Series |
subjects | Antennas dense layout Gears infinite plane Layout model of a female figure and antenna Solid modeling spiral scans Spirals straight cone Surface treatment the percentage of cuttings |
title | Automation of layout design of spiral conical scans |
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