A practical grid generation procedure for the design of free-form structures

Gao, Boqing; Li, Tierui; Ma, Teng; Jun, Ye; Becque, Jurgen; Hajirasouliha, Iman

doi:10.1016/j.compstruc.2017.10.006

Cited by 17 publications

(9 citation statements)

References 20 publications

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“…It is important to note that current software, has tools that allow to easily design complex structures (16). In this specific case, the software used was Rhinoceros 5 (17) and Grasshopper (18).…”

Section: Three-dimensional Modelmentioning

confidence: 99%

Mallas elásticas de madera - Estructuras con un diseño integrado

Fernandes

Branco²,

Barroso

et al. 2020

Inf. constr.

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Una malla estructural de madera es un tipo especial de estructura que establece un nuevo marco para la construcción ligera. Es posible crear una amplia variedad de formas y geometrías, garantizando así una enorme libertad arquitectónica. Sin embargo, dada la variedad de formas y la complejidad que pueden presentar es necesario utilizar diferentes herramientas e información para avalar este complejo proceso. El presente trabajo explora la interacción entre la información y las diferentes herramientas utilizadas por arquitectos e ingenieros durante el proceso de diseño y construcción de una malla elástica de madera, presentando un caso de estudio real con 42m2 (6,5mx6,5m), después de la elevación, construida con la intención de explorar el diseño y el proceso constructivo junto con métodos de integración de “form finding”. En el trabajo, los objetivos de optimización tanto del arquitecto como del ingeniero se realizan sobre el mismo caso de estudio. Se presentará el proceso de diseño y se describirá la construcción de la malla elástica.

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Section: Three-dimensional Modelmentioning

confidence: 99%

Mallas elásticas de madera - Estructuras con un diseño integrado

Fernandes

Branco²,

Barroso

et al. 2020

Inf. constr.

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“…However, this method lacks robustness and the resultant meshes are not very uniform. In Gao et al (2017), a practical grid generation method was proposed based on the concept of the guide line which allowed an initial expression of architectural intent. The quality of the mesh depends on the guide line, but it is difficult to set a suitable guide line for a complex surface.…”

Section: Related Workmentioning

confidence: 99%

Triangular mesh generation on free-form surfaces based on bubble dynamics simulation

Wang

Gao

2019

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Purpose Modern CAD systems facilitate the creation of any surface geometry imaginable, and complex surfaces for free-form grid shells are often represented by a set of Non-Uniform Rational B-Splines surface patches. But it remains an intractable issue how to generate high-quality grids on complex surfaces efficiently. To solve this issue, an automatic triangular mesh generation method is presented, based on bubble dynamics simulation and a modified Delaunay method. Design/methodology/approach A moderate amount of points are first distributed on a given surface. Next, by regarding the points as elastic bubbles with the same size and introducing the forces acting on bubbles, the motion control equations of bubbles are established. The equilibrium state of the bubble system is found by Verlet algorithm. Then, the Voronoi diagram on the surface is obtained by calculating the intersection between the surface and the three-dimensional (3D) Voronoi diagram of the centers of bubbles. Finally, a triangular mesh, Delaunay triangulation on the surface, is determined based on the dual change of the Voronoi diagram. Findings This method generates meshes on the surface directly, unlike mapping-based methods, avoiding the mapping distortion. Examples are given to demonstrate the successful execution of this method. The result also illustrates that this method is applicable to various surfaces in high automation level and resultant meshes are highly uniform and well-shaped. Originality/value Thus, this method provides the convenience for the geometry design of complex free-form grid structure.

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“…When the surface shown in Fig.9 is flattened using the above method, the result is as shown in Fig.12. The guide-line method presented here is an improvement on that developed by Gao et al (2017b), since it can deal with complex boundary conditions. Since the 2D flattened surface shares the same u-v parametric field with the original 3D free-form surface, the original trimming boundary curves (both internal and external) can be mapped onto the 2D flattened surface as shown in Fig.13.…”

Section: Flattening Of the Whole Regionsmentioning

confidence: 99%

Computational Grid Generation for the Design of Free-Form Shells with Complex Boundary Conditions

Jun

Shepherd

et al. 2019

J. Comput. Civ. Eng.

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Free-form grid structures have been widely used in various public buildings, and many are bounded by complex curves including internal voids. Modern computational design software enables the rapid creation and exploration of such complex surface geometries for architectural design, but the resulting shapes lack an obvious way for engineers to create a discrete structural grid to support the surface that manifest the architect's intent. This paper presents an efficient design approach for the synthesis of free-form grid structures based on "guide line" and "surface flattening" methods, which consider complex features and internal boundaries. The method employs a fast and straightforward approach, which achieves fluent lines with bars of balanced length. The parametric domain of a complete NURBS (Non-Uniform Rational B-Spline) surface is firstly divided into a number of patches, and a discrete free-form surface formed by mapping dividing points onto the surface. The free-form surface was then flattened based on the principle of equal area. Accordingly, the flattened rectangular lattices are then fit to the 2D surface, with grids formed by applying a guide-line method. Subsequently, the intersections of the guide-lines and the complex boundary are obtained, and the guide-lines divided equally between boundaries to produce grids connected at the dividing points. Finally, the 2D grids are mapped back onto the 3D surface and a spring-mass relaxation method is employed to further improve the smoothness of the resulting grids. The paper concludes bypresenting realistic examples to demonstrate the practical effectiveness of the proposed method.

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A practical grid generation procedure for the design of free-form structures

Cited by 17 publications

References 20 publications

Mallas elásticas de madera - Estructuras con un diseño integrado

Mallas elásticas de madera - Estructuras con un diseño integrado

Triangular mesh generation on free-form surfaces based on bubble dynamics simulation

Computational Grid Generation for the Design of Free-Form Shells with Complex Boundary Conditions

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