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Form finding with dynamic relaxation and isogeometric membrane elements

Alic, Vedad LU and Persson, Kent LU (2016) In Computer Methods in Applied Mechanics and Engineering 300. p.734-747
Abstract
A method for form finding with dynamic relaxation and Non-Uniform Rational B-Splines (NURBS) based isogeometric membrane elements has been implemented and studied regarding the influence of the discretization and element shape on the form finding. The procedure allows for rapid form finding since NURBS describe the curved geometry well and it is shown that the form-finding can be performed using a coarse mesh. However, to minimize the bending strain energy a fine mesh is needed. Using smaller elements is more advantageous than increasing the degree of the basis functions, keeping the number of integration points few and converging at a lesser number of iterations. Using isogeometric analysis (IGA) simplifies further studies since the... (More)
A method for form finding with dynamic relaxation and Non-Uniform Rational B-Splines (NURBS) based isogeometric membrane elements has been implemented and studied regarding the influence of the discretization and element shape on the form finding. The procedure allows for rapid form finding since NURBS describe the curved geometry well and it is shown that the form-finding can be performed using a coarse mesh. However, to minimize the bending strain energy a fine mesh is needed. Using smaller elements is more advantageous than increasing the degree of the basis functions, keeping the number of integration points few and converging at a lesser number of iterations. Using isogeometric analysis (IGA) simplifies further studies since the form-found shape can be exactly represented with a shell element formulation. The method is suitable to be used in computer aided design environments such as Rhinoceros 3D during design stages, where the form finding can be evaluated together with other studies in a design context. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Structural form finding, Dynamic relaxation, Isogeometric analysis, NURBS, Optimization
in
Computer Methods in Applied Mechanics and Engineering
volume
300
pages
734 - 747
publisher
Elsevier
external identifiers
  • scopus:84960912489
  • wos:000369487700032
ISSN
0045-7825
DOI
10.1016/j.cma.2015.12.009
language
English
LU publication?
yes
id
bc3177a1-958c-43a4-a048-65b91570359e
date added to LUP
2016-04-28 10:46:25
date last changed
2017-01-01 08:24:02
@article{bc3177a1-958c-43a4-a048-65b91570359e,
  abstract     = {A method for form finding with dynamic relaxation and Non-Uniform Rational B-Splines (NURBS) based isogeometric membrane elements has been implemented and studied regarding the influence of the discretization and element shape on the form finding. The procedure allows for rapid form finding since NURBS describe the curved geometry well and it is shown that the form-finding can be performed using a coarse mesh. However, to minimize the bending strain energy a fine mesh is needed. Using smaller elements is more advantageous than increasing the degree of the basis functions, keeping the number of integration points few and converging at a lesser number of iterations. Using isogeometric analysis (IGA) simplifies further studies since the form-found shape can be exactly represented with a shell element formulation. The method is suitable to be used in computer aided design environments such as Rhinoceros 3D during design stages, where the form finding can be evaluated together with other studies in a design context.},
  author       = {Alic, Vedad and Persson, Kent},
  issn         = {0045-7825},
  keyword      = {Structural form finding,Dynamic relaxation,Isogeometric analysis,NURBS,Optimization},
  language     = {eng},
  pages        = {734--747},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {Form finding with dynamic relaxation and isogeometric membrane elements},
  url          = {http://dx.doi.org/10.1016/j.cma.2015.12.009},
  volume       = {300},
  year         = {2016},
}