Equilibrium consistent anisotropic stress fields in membrane design

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Abstract

This paper deals with the control of mesh distortions which may appear during the form finding procedure of membrane design. The reason is the unbalance of surface stresses either due to the interaction of edge and surface or incompatibilities along the sewing lines of adjacent membrane patches. An approach is presented which is based on a rational modification of the surface tension field. The criterion is based on the control of the element distortion and derived from differential geometry. Several examples demonstrate the success of the method.

Original languageEnglish
Title of host publicationTextile Composites and Inflatable Structures
EditorsEugenio Oñate, Bern Kröplin
PublisherSpringer
Pages143-151
Number of pages9
ISBN (Print)9781402033162
DOIs
StatePublished - 2005
EventInternational Conference on Textile Computer and Inflated Structures, 2003 - Barcelona, Spain
Duration: 30 Jun 20032 Jul 2003

Publication series

NameComputational Methods in Applied Sciences
Volume3
ISSN (Print)1871-3033

Conference

ConferenceInternational Conference on Textile Computer and Inflated Structures, 2003
Country/TerritorySpain
CityBarcelona
Period30/06/032/07/03

Keywords

  • Anisotropic surface stress
  • Form finding
  • Mesh control
  • Minimal surface

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