Skip to main content
Top
Published in: Structural and Multidisciplinary Optimization 1/2017

31-05-2016 | BRIEF NOTE

The anisotropic pressure vessel of minimal mass

Author: V. Kobelev

Published in: Structural and Multidisciplinary Optimization | Issue 1/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A pressure vessel made of anisotropic material is held together against the gas pressure tanks to tensile forces within the walls. The optimization problem consists in searching the shape and the thickness distribution of membrane shells, made of anisotropic material. The closed form solution of the optimization problem is obtained and corresponding isoperimetric inequality is proved for anisotropic Hill yield criteria.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abramowitz M, Stegun IA, eds. (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series 55 (10 ed.). New York, USA: United States Department of Commerce, National Bureau of Standards; Dover Publications Abramowitz M, Stegun IA, eds. (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series 55 (10 ed.). New York, USA: United States Department of Commerce, National Bureau of Standards; Dover Publications
go back to reference Banichuk NV, Barthold FJ, Serra M (2005) Optimization of axisymmetric membrane shells against brittle fracture. Meccanica 40(2):135–145CrossRefMATH Banichuk NV, Barthold FJ, Serra M (2005) Optimization of axisymmetric membrane shells against brittle fracture. Meccanica 40(2):135–145CrossRefMATH
go back to reference Hilbert D, Cohn-Vossen S (1999) Geometry and the imagination. Chelsea, New YorkMATH Hilbert D, Cohn-Vossen S (1999) Geometry and the imagination. Chelsea, New YorkMATH
go back to reference Olver FWJ et al (2010) NIST handbook of mathematical functions. Cambridge University Press, Cambridge, p 967MATH Olver FWJ et al (2010) NIST handbook of mathematical functions. Cambridge University Press, Cambridge, p 967MATH
go back to reference Ventsel E, Krauthammer T (2001) Thin plates and shells, theory, analysis, and applications. Marcel Dekker, New YorkCrossRef Ventsel E, Krauthammer T (2001) Thin plates and shells, theory, analysis, and applications. Marcel Dekker, New YorkCrossRef
Metadata
Title
The anisotropic pressure vessel of minimal mass
Author
V. Kobelev
Publication date
31-05-2016
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 1/2017
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1486-2

Other articles of this Issue 1/2017

Structural and Multidisciplinary Optimization 1/2017 Go to the issue

Premium Partners