Design and optimization of grid shell structures using Christoffel duality
Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-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 language | English |
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Title of host publication | IASS 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 |
Pages | 193-200 |
Number of pages | 8 |
Publication status | Published - 2019 |
Peer-reviewed | Yes |
Publication series
Series | IASS Symposium 2019 |
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ISSN | 1028-365X |
External IDs
Scopus | 85092793860 |
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Keywords
Keywords
- Christoffel duality, Circle pattern, Circular mesh surface, Geometry optimization, Grid shell