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dc.contributor.authorde Oliveira Pauletti, Ruy Marcelo
dc.date.accessioned2020-04-30T16:11:25Z
dc.date.available2020-04-30T16:11:25Z
dc.date.issued2011
dc.identifier.isbn978-84-89925-58-8
dc.identifier.urihttp://hdl.handle.net/2117/185973
dc.description.abstractThis paper discusses the Natural Force Density Method, an extension of the well known Force Density Method for the shape finding of continuous membrane structures, which preserves the linearity of the original method, overcoming the need for regular meshes. The method is capable of providing viable membrane configurations, comprising the membrane shape and its associates stress field in a single iteration. Besides, if the NFDM is applied iteratively, it is capable of converging to a configuration under a uniform and isotropic plane stress field. This means that a minimal surface for a membrane can be achieved through a succession of viable configurations, in such a way that the process can be stopped at any iteration, and the result assumed as good. The NFDM can also be employed to the shape finding of non-minimal surfaces. In such cases, however, there is no guarantee that a prescribed, non-isotropic stress field can be achieved through iterations. The paper presents several examples of application of the NFDM to the shape finding of minimal and nonminimal membrane surfaces.
dc.format.extent9 p.
dc.language.isoeng
dc.publisherCIMNE
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshAir-supported structures
dc.subject.otherNatural Force Density Method, Membrane Structures, Shape finding, minimal surfaces; non-minimal surfaces
dc.titleFinding Minimal and Non-Minimal Surfaces through the Natural Force Density Method
dc.typeConference report
dc.subject.lemacEstructures pneumàtiques
dc.rights.accessOpen Access
local.citation.contributorStructural Membranes 2011
local.citation.publicationNameTextiles composites and inflatable structures V : proceedings of the V International Conference on Textile Composites and Inflatable Structures, Barcelona, Spain. 5-7 October, 2011
local.citation.startingPage138
local.citation.endingPage146


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