Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures
Gradient porous structures (GPS) offer significant mechanical and functional advantages over homogeneous counterparts. This paper proposes a computational design framework utilizing spatial Voronoi diagrams to create lightweight, stress-responsive spatial frames optimized for architectural double-cu...
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2025-05-01
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| author | Haining Zhou Xinyu Shi Da Wan Weijiu Cui Kang Bi Wenxuan Zhao Rong Jiao Hiroatsu Fukuda |
| author_facet | Haining Zhou Xinyu Shi Da Wan Weijiu Cui Kang Bi Wenxuan Zhao Rong Jiao Hiroatsu Fukuda |
| author_sort | Haining Zhou |
| collection | DOAJ |
| description | Gradient porous structures (GPS) offer significant mechanical and functional advantages over homogeneous counterparts. This paper proposes a computational design framework utilizing spatial Voronoi diagrams to create lightweight, stress-responsive spatial frames optimized for architectural double-curvature arched shell roofing components. The method integrates Solid Isotropic Material with Penalization (SIMP)-based topology optimization (TO) to establish initial stress-informed material distributions, adaptive Voronoi control point (CP) placement guided by localized stress data, and a bi-objective genetic algorithm (GA) optimizing maximum and average displacement. Following optimization, a weighted Lloyd relaxation (LR) refines Voronoi cells into spatial frameworks with varying densities corresponding to stress gradients. Finite Element Analysis (FEA) demonstrates that the optimized Voronoi-driven GPS achieves notable improvements, revealing up to 79.7% material volume reduction and significant improvement in structural efficiency, achieving a stiffness-to-weight ratio (SWR) exceeding 2200 in optimized configurations. Furthermore, optimized structures consistently maintain maximum von Mises (MVM) stresses below 20 MPa, well within the allowable yield strength of the Polyethylene Terephthalate Glycol (PETG) material (53 MPa). The developed framework effectively bridges structural performance, material efficiency, and aesthetic considerations, offering substantial potential for application in advanced, high-performance architectural systems. |
| format | Article |
| id | doaj-art-46b7a8b3671f46a6b89e8d9222bdd83f |
| institution | OA Journals |
| issn | 2075-5309 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
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| series | Buildings |
| spelling | doaj-art-46b7a8b3671f46a6b89e8d9222bdd83f2025-08-20T01:49:50ZengMDPI AGBuildings2075-53092025-05-01159154710.3390/buildings15091547Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell StructuresHaining Zhou0Xinyu Shi1Da Wan2Weijiu Cui3Kang Bi4Wenxuan Zhao5Rong Jiao6Hiroatsu Fukuda7iSMART, Qingdao University of Technology, Qingdao 266033, ChinaiSMART, Qingdao University of Technology, Qingdao 266033, ChinaSchool of Architecture, Tianjin Chengjian University, Tianjin 300074, ChinaiSMART, Qingdao University of Technology, Qingdao 266033, ChinaFaculty of Environmental Engineering, The University of Kitakyushu, Fukuoka 808-0135, JapaniSMART, Qingdao University of Technology, Qingdao 266033, ChinaFaculty of Environmental Engineering, The University of Kitakyushu, Fukuoka 808-0135, JapanFaculty of Environmental Engineering, The University of Kitakyushu, Fukuoka 808-0135, JapanGradient porous structures (GPS) offer significant mechanical and functional advantages over homogeneous counterparts. This paper proposes a computational design framework utilizing spatial Voronoi diagrams to create lightweight, stress-responsive spatial frames optimized for architectural double-curvature arched shell roofing components. The method integrates Solid Isotropic Material with Penalization (SIMP)-based topology optimization (TO) to establish initial stress-informed material distributions, adaptive Voronoi control point (CP) placement guided by localized stress data, and a bi-objective genetic algorithm (GA) optimizing maximum and average displacement. Following optimization, a weighted Lloyd relaxation (LR) refines Voronoi cells into spatial frameworks with varying densities corresponding to stress gradients. Finite Element Analysis (FEA) demonstrates that the optimized Voronoi-driven GPS achieves notable improvements, revealing up to 79.7% material volume reduction and significant improvement in structural efficiency, achieving a stiffness-to-weight ratio (SWR) exceeding 2200 in optimized configurations. Furthermore, optimized structures consistently maintain maximum von Mises (MVM) stresses below 20 MPa, well within the allowable yield strength of the Polyethylene Terephthalate Glycol (PETG) material (53 MPa). The developed framework effectively bridges structural performance, material efficiency, and aesthetic considerations, offering substantial potential for application in advanced, high-performance architectural systems.https://www.mdpi.com/2075-5309/15/9/1547gradient porous structurestopology optimizationspatial voronoiadaptive tessellationstress-responsive designstructural efficiency |
| spellingShingle | Haining Zhou Xinyu Shi Da Wan Weijiu Cui Kang Bi Wenxuan Zhao Rong Jiao Hiroatsu Fukuda Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures Buildings gradient porous structures topology optimization spatial voronoi adaptive tessellation stress-responsive design structural efficiency |
| title | Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures |
| title_full | Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures |
| title_fullStr | Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures |
| title_full_unstemmed | Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures |
| title_short | Stress-Responsive Spatial Voronoi Optimization for Lightweight Architectural Shell Structures |
| title_sort | stress responsive spatial voronoi optimization for lightweight architectural shell structures |
| topic | gradient porous structures topology optimization spatial voronoi adaptive tessellation stress-responsive design structural efficiency |
| url | https://www.mdpi.com/2075-5309/15/9/1547 |
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