Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation
This work presents a design framework for the selection of the topology and cross-section size of elastic timber gridshells, taking as constraints the shape of the structure and the maximum value of bending stress that can be reached in a given area of the gridshell. For this purpose, a parametric d...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/13/1/63 |
| _version_ | 1797626342800359424 |
|---|---|
| author | Antonio Roig Antonio José Lara-Bocanegra José Xavier Almudena Majano-Majano |
| author_facet | Antonio Roig Antonio José Lara-Bocanegra José Xavier Almudena Majano-Majano |
| author_sort | Antonio Roig |
| collection | DOAJ |
| description | This work presents a design framework for the selection of the topology and cross-section size of elastic timber gridshells, taking as constraints the shape of the structure and the maximum value of bending stress that can be reached in a given area of the gridshell. For this purpose, a parametric design environment and a genetic optimisation algorithm are used, which provides a set of solutions (optimal and near-optimal) that can be examined by the designer before adopting the final solution. The construction of the parametric mesh model is based on a geometric approach using an original adaptation of the Compass Method by developing two algorithms. The first one plots geodesic curves on a surface given a starting point and a direction. The second algorithm adapts the accuracy of the Compass Method to the local curvature of the surface, substantially minimising the computation time. The results show that the optimisation process succeeds in significantly reducing the initial bending stresses and offers an interesting solution space, consisting of a set of solutions with sufficiently diverse topologies and cross-section sizes, from which the final solution can be chosen by the Decision Maker, even according to additional non-programmed structural or aesthetic requirements. The design framework has been successfully applied and verified in the design of the PEMADE gridshell, an innovative elastic timber gridshell recently realised by the authors. Finally, the most relevant details of its construction process carried out to ensure the exact position of the timber laths are presented. |
| first_indexed | 2024-03-11T10:09:03Z |
| format | Article |
| id | doaj.art-93ca561b9ea548c0b0089e35a4af9897 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T10:09:03Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-93ca561b9ea548c0b0089e35a4af98972023-11-16T14:50:06ZengMDPI AGApplied Sciences2076-34172022-12-011316310.3390/app13010063Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic OptimisationAntonio Roig0Antonio José Lara-Bocanegra1José Xavier2Almudena Majano-Majano3Department of Building Structures and Physics, School of Architecture, Universidad Politécnica de Madrid, avda. Juan de Herrera 4, 28040 Madrid, SpainDepartment of Building Structures and Physics, School of Architecture, Universidad Politécnica de Madrid, avda. Juan de Herrera 4, 28040 Madrid, SpainUNIDEMI, Research & Development Unit for Mechanical and Industrial Engineering, Department of Mechanical and Industrial Engineering, NOVA School of Science and Technology, Universidade NOVA de Lisboa, 2829-516 Caparica, PortugalDepartment of Building Structures and Physics, School of Architecture, Universidad Politécnica de Madrid, avda. Juan de Herrera 4, 28040 Madrid, SpainThis work presents a design framework for the selection of the topology and cross-section size of elastic timber gridshells, taking as constraints the shape of the structure and the maximum value of bending stress that can be reached in a given area of the gridshell. For this purpose, a parametric design environment and a genetic optimisation algorithm are used, which provides a set of solutions (optimal and near-optimal) that can be examined by the designer before adopting the final solution. The construction of the parametric mesh model is based on a geometric approach using an original adaptation of the Compass Method by developing two algorithms. The first one plots geodesic curves on a surface given a starting point and a direction. The second algorithm adapts the accuracy of the Compass Method to the local curvature of the surface, substantially minimising the computation time. The results show that the optimisation process succeeds in significantly reducing the initial bending stresses and offers an interesting solution space, consisting of a set of solutions with sufficiently diverse topologies and cross-section sizes, from which the final solution can be chosen by the Decision Maker, even according to additional non-programmed structural or aesthetic requirements. The design framework has been successfully applied and verified in the design of the PEMADE gridshell, an innovative elastic timber gridshell recently realised by the authors. Finally, the most relevant details of its construction process carried out to ensure the exact position of the timber laths are presented.https://www.mdpi.com/2076-3417/13/1/63strained gridshellsactive bendingCompass Method<i>Eucalyptus globulus</i>Tchevychev netstructural design |
| spellingShingle | Antonio Roig Antonio José Lara-Bocanegra José Xavier Almudena Majano-Majano Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation Applied Sciences strained gridshells active bending Compass Method <i>Eucalyptus globulus</i> Tchevychev net structural design |
| title | Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation |
| title_full | Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation |
| title_fullStr | Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation |
| title_full_unstemmed | Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation |
| title_short | Design Framework for Selection of Grid Topology and Rectangular Cross-Section Size of Elastic Timber Gridshells Using Genetic Optimisation |
| title_sort | design framework for selection of grid topology and rectangular cross section size of elastic timber gridshells using genetic optimisation |
| topic | strained gridshells active bending Compass Method <i>Eucalyptus globulus</i> Tchevychev net structural design |
| url | https://www.mdpi.com/2076-3417/13/1/63 |
| work_keys_str_mv | AT antonioroig designframeworkforselectionofgridtopologyandrectangularcrosssectionsizeofelastictimbergridshellsusinggeneticoptimisation AT antoniojoselarabocanegra designframeworkforselectionofgridtopologyandrectangularcrosssectionsizeofelastictimbergridshellsusinggeneticoptimisation AT josexavier designframeworkforselectionofgridtopologyandrectangularcrosssectionsizeofelastictimbergridshellsusinggeneticoptimisation AT almudenamajanomajano designframeworkforselectionofgridtopologyandrectangularcrosssectionsizeofelastictimbergridshellsusinggeneticoptimisation |