Quasistatic inflation processes within compliant tubes
In former work , , and , a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Mechanik 2017-08, Vol.97 (8), p.973-989 |
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| container_title | Zeitschrift für angewandte Mathematik und Mechanik |
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| creator | Vogt, Werner Steigenberger, Joachim Maißer, Peter |
| description | In former work , , and , a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.
In former works, a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent. |
| doi_str_mv | 10.1002/zamm.201500276 |
| format | Article |
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In former works, a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.</description><identifier>ISSN: 0044-2267</identifier><identifier>EISSN: 1521-4001</identifier><identifier>DOI: 10.1002/zamm.201500276</identifier><language>eng</language><publisher>Weinheim: Wiley Subscription Services, Inc</publisher><subject>49J15 ; 49N90 ; 65L10 ; 74F10 ; 74K15 ; Biomechanics ; Computer simulation ; Control systems ; Differential equations ; numerical methods ; Optimal control ; Potential energy ; state constraint ; Tubes</subject><ispartof>Zeitschrift für angewandte Mathematik und Mechanik, 2017-08, Vol.97 (8), p.973-989</ispartof><rights>2017 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim</rights><rights>Copyright © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3836-d4f64b62294da640e0d6f492ef7659b51c967eefae34afce5b67bede563421f13</citedby><cites>FETCH-LOGICAL-c3836-d4f64b62294da640e0d6f492ef7659b51c967eefae34afce5b67bede563421f13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fzamm.201500276$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fzamm.201500276$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,778,782,1414,27907,27908,45557,45558</link.rule.ids></links><search><creatorcontrib>Vogt, Werner</creatorcontrib><creatorcontrib>Steigenberger, Joachim</creatorcontrib><creatorcontrib>Maißer, Peter</creatorcontrib><title>Quasistatic inflation processes within compliant tubes</title><title>Zeitschrift für angewandte Mathematik und Mechanik</title><description>In former work , , and , a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.
In former works, a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. 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Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.
In former works, a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.</abstract><cop>Weinheim</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/zamm.201500276</doi><tpages>17</tpages></addata></record> |
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| subjects | 49J15 49N90 65L10 74F10 74K15 Biomechanics Computer simulation Control systems Differential equations numerical methods Optimal control Potential energy state constraint Tubes |
| title | Quasistatic inflation processes within compliant tubes |
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