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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Tension & Membrane Structures

An extension of the Natural Force Density Method to quadrangular elements

< Table of Contents for Tension & Membrane Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Tension & Membrane Structures
  • Pages: 10
  • Title: An extension of the Natural Force Density Method to quadrangular elements
  • Author(s): Fagner Lopes Fernandes, Ruy M.O. Pauletti
  • Keywords: natural force density method, membrane structure, shape finding
Abstract
The Force Density Method (FDM), first proposed by Linkwitz and Scheck in 1974 is a convenient alternative for finding configurations of cable nets and membranes, since it provides viable geometries in a single linear equilibrium analysis. The Natural Force Density Method (NFDM) is an extension of the FDM to the shape finding of membrane structures, which preserves the linearity of the original method and overcomes the difficulties of the original method to deal with irregular meshes. It was first suggested by Pauletti in 2006 [1], [2], based on a triangular membrane element introduced by Argyris in 1974. The original NFDM required the use of meshes composed exclusively of triangular elements. This paper presents an extension of the method to quadrangular elements, considering an equivalent assembling of flat triangular elements and compares several results obtained with fully triangulated meshes, as required by the original NFDM.

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