A morphogenesis method for shape optimization of framed structures subject to spatial constraints

Cui, Changyu; Jiang, Baoshi

doi:10.1016/j.engstruct.2014.07.032

Cited by 38 publications

(26 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2. Perform a multiscale optimization: the optimizer should not provide a unique optimum solution but a family of different optimum solutions in order to have the flexibility to adjust the final solution in a multi-scale procedure of post-evaluation (from the building to the city scale) • In thermal performance optimization problems, the design parameters, have significant influence on the final architectural form; so a variety of optimal forms is obtained by changing these design parameters during the project design phase [70]. That means that what is interesting in computational morphogenesis problems, is that we are not looking for THE best solution but for a space of a variety of optimal solutions.…”

Section: Discussion Of Results: Key Points and Most Important Aspectsmentioning

confidence: 99%

A review on hybrid optimization algorithms to coalesce computational morphogenesis with interactive energy consumption forecasting

Mavromatidis

2015

Energy and Buildings

View full text Add to dashboard Cite

Section: Discussion Of Results: Key Points and Most Important Aspectsmentioning

confidence: 99%

A review on hybrid optimization algorithms to coalesce computational morphogenesis with interactive energy consumption forecasting

Mavromatidis

2015

Energy and Buildings

View full text Add to dashboard Cite

“…Their important features are their uninterrupted span, the smoothness of their continuous surface, the sparseness of their structural grid, curve fluidity and most importantly their high structural efficiency that can resist external actions through membrane stiffness (Malek and Williams 2017). Gridshells with multi-planar, cylindrical, spherical and parabolic shapes are not uncommon in practice (Kang et al, 2003;Shilin, 2010;Cui and Jiang, 2014), where engineers use analytical equations to generate nodal positions and member connectivity, as shown in Fig.1. In general, however, free-form surfaces cannot be expressed accurately by means of (piecewise) analytic functions, and the curvature of such surfaces is generally complex.…”

Section: Introductionmentioning

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.

View full text Add to dashboard Cite

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.

show abstract

“…There are several well-known methods of building structures optimal design [1,2,5,6,7,8] that can be applied while designing building structures cross-beams or girders. In this paper, the authors present an example of determining optimal shape of a compressed-bend.…”

Section: Introductionmentioning

confidence: 99%

Bar optimal design with the use of out-form

et al. 2016

View full text Add to dashboard Cite

Abstract. The paper describes steel girders optimal design. Steel girders optimal design is based on the strength theory introduced by M. Huber, R. Mises, H. Hencky and on the theory of mirror functions. With the help of out-form volume we can either calculate the optimal form for a girder with variable cross-section or the optimal height for a girder of uniform crosssection. The paper introduces girders calculations according to the authors' methodology. For use this methodology effect of steel saving is about 10-20% compared with a girder or a beam with uniform cross-section. An example of determining optimal shape of a compressed-bend girder the paper describes.

show abstract

A morphogenesis method for shape optimization of framed structures subject to spatial constraints

Cited by 38 publications

References 20 publications

A review on hybrid optimization algorithms to coalesce computational morphogenesis with interactive energy consumption forecasting

A review on hybrid optimization algorithms to coalesce computational morphogenesis with interactive energy consumption forecasting

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

Bar optimal design with the use of out-form

Contact Info

Product

Resources

About