Principal Symmetric Structures

Davide Pellis; Helmut Pottmann

doi:10.1007/978-3-031-44328-2_37

Principal Symmetric Structures

Davide Pellis^*, Helmut Pottmann

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We introduce a new class of quadrilateral gridshell structures in axial force equilibrium where beams run symmetrically to the principal stress directions of their limit membrane shell. This kind of structures have the property that, at each node, the axial forces in the four connected beams are approximately equal. This allows for a more homogeneous distribution of forces in the structure, particularly in shapes where stresses are significantly anisotropic, in which case a conventional gridshell typically results in numerous beams remaining nearly unloaded. In this work, we first discuss the properties of principal symmetric structures and evaluate their advantages relative to other types of gridshells. We introduce then a computational pipeline for the design of such structures based on a quadrilateral remeshing and a subsequent optimization, and show some results.

Original language	English (US)
Title of host publication	Shell and Spatial Structures - Proceedings of IWSS 2023
Editors	Stefano Gabriele, Amedeo Manuello Bertetto, Francesco Marmo, Andrea Micheletti
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	359-368
Number of pages	10
ISBN (Print)	9783031443275
DOIs	https://doi.org/10.1007/978-3-031-44328-2_37
State	Published - 2024
Event	2nd Italian Workshop on Shell and Spatial Structures, IWSS 2023 - Turin, Italy Duration: Jun 26 2023 → Jun 28 2023

Publication series

Name	Lecture Notes in Civil Engineering
Volume	437
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	2nd Italian Workshop on Shell and Spatial Structures, IWSS 2023
Country/Territory	Italy
City	Turin
Period	06/26/23 → 06/28/23

Bibliographical note

Publisher Copyright:
© 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Architectural geometry
Gridshells
Structural optimization

ASJC Scopus subject areas

Civil and Structural Engineering

Access to Document

10.1007/978-3-031-44328-2_37

Cite this

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title = "Principal Symmetric Structures",

abstract = "We introduce a new class of quadrilateral gridshell structures in axial force equilibrium where beams run symmetrically to the principal stress directions of their limit membrane shell. This kind of structures have the property that, at each node, the axial forces in the four connected beams are approximately equal. This allows for a more homogeneous distribution of forces in the structure, particularly in shapes where stresses are significantly anisotropic, in which case a conventional gridshell typically results in numerous beams remaining nearly unloaded. In this work, we first discuss the properties of principal symmetric structures and evaluate their advantages relative to other types of gridshells. We introduce then a computational pipeline for the design of such structures based on a quadrilateral remeshing and a subsequent optimization, and show some results.",

keywords = "Architectural geometry, Gridshells, Structural optimization",

author = "Davide Pellis and Helmut Pottmann",

note = "Publisher Copyright: {\textcopyright} 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 2nd Italian Workshop on Shell and Spatial Structures, IWSS 2023 ; Conference date: 26-06-2023 Through 28-06-2023",

year = "2024",

doi = "10.1007/978-3-031-44328-2_37",

language = "English (US)",

isbn = "9783031443275",

series = "Lecture Notes in Civil Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "359--368",

editor = "Stefano Gabriele and {Manuello Bertetto}, Amedeo and Francesco Marmo and Andrea Micheletti",

booktitle = "Shell and Spatial Structures - Proceedings of IWSS 2023",

address = "Germany",

}

Pellis, D & Pottmann, H 2024, Principal Symmetric Structures. in S Gabriele, A Manuello Bertetto, F Marmo & A Micheletti (eds), Shell and Spatial Structures - Proceedings of IWSS 2023. Lecture Notes in Civil Engineering, vol. 437, Springer Science and Business Media Deutschland GmbH, pp. 359-368, 2nd Italian Workshop on Shell and Spatial Structures, IWSS 2023, Turin, Italy, 06/26/23. https://doi.org/10.1007/978-3-031-44328-2_37

Principal Symmetric Structures. / Pellis, Davide; Pottmann, Helmut.
Shell and Spatial Structures - Proceedings of IWSS 2023. ed. / Stefano Gabriele; Amedeo Manuello Bertetto; Francesco Marmo; Andrea Micheletti. Springer Science and Business Media Deutschland GmbH, 2024. p. 359-368 (Lecture Notes in Civil Engineering; Vol. 437).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Pellis, Davide

AU - Pottmann, Helmut

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AB - We introduce a new class of quadrilateral gridshell structures in axial force equilibrium where beams run symmetrically to the principal stress directions of their limit membrane shell. This kind of structures have the property that, at each node, the axial forces in the four connected beams are approximately equal. This allows for a more homogeneous distribution of forces in the structure, particularly in shapes where stresses are significantly anisotropic, in which case a conventional gridshell typically results in numerous beams remaining nearly unloaded. In this work, we first discuss the properties of principal symmetric structures and evaluate their advantages relative to other types of gridshells. We introduce then a computational pipeline for the design of such structures based on a quadrilateral remeshing and a subsequent optimization, and show some results.

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KW - Structural optimization

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A2 - Manuello Bertetto, Amedeo

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Principal Symmetric Structures

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

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