Design of Self-Supporting Surfaces with Isogeometric Analysis
| Autor: | Wenping Wang, Ping Hu, Yang Xia, Hao Pan, Bert Jüttler, Angelos Mantzaflaris |
|---|---|
| Přispěvatelé: | Dalian University of Technology, The University of Hong Kong (HKU), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (AROMATH), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-National and Kapodistrian University of Athens (NKUA), Institute of Applied Geometry [Linz], Johannes Kepler Universität Linz (JKU), Microsoft Research Asia, Department of Computer Science and Engineering [HKUST] (CSE), Hong Kong University of Science and Technology (HKUST) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Surface (mathematics)
Computer science Computational Mechanics General Physics and Astronomy Boundary (topology) Basis function 010103 numerical & computational mathematics Isogeometric analysis 01 natural sciences Dynamic relaxation Applied mathematics Boundary value problem 0101 mathematics Masonry structure [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC] Mechanical Engineering [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation Computer Science Applications 010101 applied mathematics Architectural geometry Rate of convergence Mechanics of Materials Self-supporting Equilibrium approach [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering Computer Methods in Applied Mechanics and Engineering, Elsevier, 2019, 353, pp.328-347. ⟨10.1016/j.cma.2019.05.030⟩ Computer Methods in Applied Mechanics and Engineering, 2019, 353, pp.328-347. ⟨10.1016/j.cma.2019.05.030⟩ |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2019.05.030⟩ |
| Popis: | International audience; Self-supporting surfaces are widely used in contemporary architecture, but their design remains a challenging problem. This paper aims to provide a heuristic strategy for the design of complex self-supporting surfaces. In our method, non-uniform rational B-spline (NURBS) surfaces are used to describe the smooth geometry of the self-supporting surface. The equilibrium state of the surface is derived with membrane shell theory and Airy stresses within the surfaces are used as tunable variables for the proposed heuristic design strategy. The corresponding self-supporting shapes to the given stress states are calculated by the nonlinear isogeometric analysis (IGA) method. Our validation using analytic catenary surfaces shows that the proposed method finds the correct self-supporting shape with a convergence rate one order higher than the degree of the applied NURBS basis function. Tests on boundary conditions show that the boundary's influence propagates along the main stress directions in the surface. Various self-supporting masonry structures, including models with complex topology, are constructed using the presented method. Compared with existing methods such as thrust network analysis and dynamic relaxation, the proposed method benefits from the advantages of NURBS-based IGA, featuring smooth geometric description, good adaption to complex shapes and increased efficiency of computation. |
| Databáze: | OpenAIRE |
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