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Intrinsic equations for a relaxed elastic line of second kind on an oriented surface

Bayram, Ergin; Kasap, Emin


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{
  "@context": "https://schema.org/", 
  "@id": 57739, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Ondokuz Mayis Univ, Dept Math, TR-55139 Samsun, Turkey", 
      "name": "Bayram, Ergin"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Ondokuz Mayis Univ, Dept Math, TR-55139 Samsun, Turkey", 
      "name": "Kasap, Emin"
    }
  ], 
  "datePublished": "2016-01-01", 
  "description": "Let alpha(s) be an arc on a connected oriented surface S in E-3, parameterized by arc length s, with torsion tau and length l. The total square torsion H of alpha is defined by H = integral(l)(0) tau(2) ds. The arc alpha is called a relaxed elastic line of second kind if it is an extremal for the variational problem of minimizing the value of H within the family of all arcs of length l on S having the same initial point and initial direction as alpha. In this study, we obtain differential equation and boundary conditions for a relaxed elastic line of second kind on an oriented surface.", 
  "headline": "Intrinsic equations for a relaxed elastic line of second kind on an oriented surface", 
  "identifier": 57739, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Intrinsic equations for a relaxed elastic line of second kind on an oriented surface", 
  "url": "https://aperta.ulakbim.gov.tr/record/57739"
}
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