TY - GEN
T1 - Principal Symmetric Structures
AU - Pellis, Davide
AU - Pottmann, Helmut
N1 - Publisher Copyright:
© 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2024
Y1 - 2024
N2 - 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.
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.
KW - Architectural geometry
KW - Gridshells
KW - Structural optimization
UR - http://www.scopus.com/inward/record.url?scp=85177025451&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-44328-2_37
DO - 10.1007/978-3-031-44328-2_37
M3 - Conference contribution
AN - SCOPUS:85177025451
SN - 9783031443275
T3 - Lecture Notes in Civil Engineering
SP - 359
EP - 368
BT - Shell and Spatial Structures - Proceedings of IWSS 2023
A2 - Gabriele, Stefano
A2 - Manuello Bertetto, Amedeo
A2 - Marmo, Francesco
A2 - Micheletti, Andrea
PB - Springer Science and Business Media Deutschland GmbH
T2 - 2nd Italian Workshop on Shell and Spatial Structures, IWSS 2023
Y2 - 26 June 2023 through 28 June 2023
ER -