Design and optimization of grid shell structures using Christoffel duality

Research output: Contribution to book/Conference proceedings/Anthology/ReportConference contributionContributedpeer-review

Contributors

Abstract

In the paper, the authors deal with design and optimization of grid shell, by using geometry methods, which were not often used for shell structures. They include designing, discretization and modification of the meshes (size and edge's direction) with the help of the circle geometry patterns [1]. Methods that are used all came from circle geometry that enables a lot of transformations and defines different mesh offsets. Moreover, the edges of modified meshes in the surface are known for defining the direction of principal curvatures and therefore represent fundamental shape characteristics. The authors use the curvature's direction as an input for iterative procedure of sphere mapping and projective transformation on the mesh division of the designed surface and create new, circular mesh. With changed geometry, the structural properties are changing as well. The goal is to explore the combination of this methods and optimize the free-form shell both geometrically and structurally.

Details

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
Pages193-200
Number of pages8
Publication statusPublished - 2019
Peer-reviewedYes

Publication series

SeriesIASS Symposium 2019
ISSN1028-365X

External IDs

Scopus 85092793860

Keywords

Keywords

  • Christoffel duality, Circle pattern, Circular mesh surface, Geometry optimization, Grid shell