Structural Optimization of frames or lattices with beam elements

Ioannis N. Tsiptsis, Kai Uwe Bletzinger

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In the present research paper, the structural optimization problem is studied for various structural unit cell structural arrangements, namely square bi-linear 4-noded elements with two translational degrees of freedom, truss unit cells of two different bracings and framed unit cell with Euler-Bernoulli (EB) or Timoshenko (TS) beam elements. The Cowper shear coefficient formula for solid cross sections and the assumption of shear frames have been considered. The minimization of the compliance is performed with both Optimality Criteria approach and the Method of Moving Asymptotes. Comparisons between bar, EB and TS unit-cell configurations have been performed in order to study the influence of shear during optimization of lattice structures and frames. This is the first step towards investigating the influence of higher order phenomena, such as warping (secondary shear deformation effect), in the analysis of these structural arrangements. Moreover, the Ground Structure method has been employed to formulate truss-like configurations and compare the optimized structure derived by both Sequential Linear Programming and Particle Swarm Optimizer, which belongs to metaheuristic methods.

Original languageEnglish
Title of host publicationIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
EditorsCarlos Lazaro, Kai-Uwe Bletzinger, Eugenio Onate
PublisherInternational Center for Numerical Methods in Engineering
Pages2123-2130
Number of pages8
ISBN (Electronic)9788412110104
StatePublished - 2019
EventIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE - Barcelona, Spain
Duration: 7 Oct 201910 Oct 2019

Publication series

NameIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE

Conference

ConferenceIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
Country/TerritorySpain
CityBarcelona
Period7/10/1910/10/19

Keywords

  • Compliance
  • Frames
  • Lattices
  • Method of moving asymptotes
  • Optimality criteria
  • Shear
  • Structural optimization
  • Unit cells
  • Warping

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