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Similarity shapes of a fully liquid - filled membrane on an incline / Yoon Rak Choi in Journal of engineering mechanics, Vol. 138 N° 8 (Août 2012) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.984–996. Titre : Similarity shapes of a fully liquid - filled membrane on an incline Type de document : texte imprimé Auteurs : Yoon Rak Choi, Auteur ; Solomon C. Yim, Auteur Année de publication : 2012 Article en page(s) : pp.984–996. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Fully  filled  geosynthetic-tube  membranes  Similarity  Canonical  shape  Elliptic  integrals  Integration  of  curvature Résumé : Membranes, such as geosynthetic tubes, have been widely used in civil construction and as storage tanks. Estimation of the shape, structural tension, and internal pressure are essential for effective and safe use of these structures. Motivated by a numerical study on the case of a partially liquid-filled membrane, this study presents a novel general mathematical static analysis of a fully liquid-filled geosynthetic-tube membrane section anchored on an incline. The membrane problem can be modeled analytically as a set of simultaneous nonlinear ordinary differential equations with some undetermined boundary conditions. A close examination of possible analytical solutions for increasing the cross-sectional area of the membrane identifies that the membrane sections have four similarity (or canonical) shapes. Integration of the curvature expression results in a similarity solution of the canonical shape, expressed in terms of analytical elliptic integrals. Using the analysis method developed, the range of the characteristic parameters of each canonical shape and the associated pressure and tension of membrane sections of arbitrary sizes can be determined. The analytical results developed provide an efficient tool to identify the canonical shapes and transition points and are valuable in interpreting the physics. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000411 [article] Similarity shapes of a fully liquid - filled membrane on an incline [texte imprimé] / Yoon Rak Choi, Auteur ; Solomon C. Yim, Auteur . - 2012 . - pp.984–996. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.984–996. Mots-clés : Fully  filled  geosynthetic-tube  membranes  Similarity  Canonical  shape  Elliptic  integrals  Integration  of  curvature Résumé : Membranes, such as geosynthetic tubes, have been widely used in civil construction and as storage tanks. Estimation of the shape, structural tension, and internal pressure are essential for effective and safe use of these structures. Motivated by a numerical study on the case of a partially liquid-filled membrane, this study presents a novel general mathematical static analysis of a fully liquid-filled geosynthetic-tube membrane section anchored on an incline. The membrane problem can be modeled analytically as a set of simultaneous nonlinear ordinary differential equations with some undetermined boundary conditions. A close examination of possible analytical solutions for increasing the cross-sectional area of the membrane identifies that the membrane sections have four similarity (or canonical) shapes. Integration of the curvature expression results in a similarity solution of the canonical shape, expressed in terms of analytical elliptic integrals. Using the analysis method developed, the range of the characteristic parameters of each canonical shape and the associated pressure and tension of membrane sections of arbitrary sizes can be determined. The analytical results developed provide an efficient tool to identify the canonical shapes and transition points and are valuable in interpreting the physics. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000411