Computational Morphogenesis Research Articles

線形座屈荷重を目的関数とした形状最適化法の構築

Scheme of computational morphogenesis for the shell structures with free curved surface is proposed, where the shape can be optimized for linear buckling load. In the proposed scheme, The problem in question has been mathematically formulated as linear buckling load factor maximization problem where coordinates of NURBS control points with respect to the shape of curved surface are adopted as design variables and Genetic Algorithm (GA) is utilized to solve this problem without any difficulties because no sensitivity analysis, in needed. Numerical examples are presented where the effectiveness of the proposed scheme and the structural characteristics is investigated.

Computational morphogenesis of free form shell structures by optimization

Shell structures in civil engineering are known extremely parameter sensitive, so the aim of computational morphogenesis of free-form shells is to find a rational shape which defines an ideal internal stress state. This paper sets forth a kind of computational method to generate free-form shell structures, which is a synthesis of design modelling, structural analysis and mathematical optimization. At first the design modelling of the shell is completed by non-uniform rational b spline (NURBS), then structural analysis is executed to the initial shape, at last the NLPQL algorithm which is a SQP algorithm is used for the optimization. During the optimization metamodeling is used, which involves sensitivity analysis, design of experiments and regression analysis. Several examples show the power of the approach.

Computational Morphogenesis

Computational morphogenesis is the word generally used for expressing those techniques or ways of thought by which the configuration or the system of structures is generated mainly through the usage of computers, which is realized on the firm foundation of both FEM as a tool of numerical analysis and various methods based on relatively newly-developed algorithms for structural optimization. Recently, it has been gaining a considerable number of users such as structural engineers or architects for the structural design of actual buildings as well as proposals for architectural competitions. Here we present the state of the art in computational morphogenesis especially in Japan as well as the future prospects for computational morphogenesis.

Computational Morphogenesis Method for Freeform Structures Generated by Translating B-Spline Curves

Computational Morphogenesis Method for Freeform Structures Generated by Translating B-Spline Curves

Simple Systems - Complex Capacities. Integrative Processes of Computational Morphogenesis in Architecture

The complexity of the cultural, social, economical and particularly ecological context in which architecture is practised today necessitates design strategies and tactics that achieve a high level of integration of seemingly opposed demands and criteria within the material and construction systems we design. One possibility of unfolding novel synergies in such extreme conditions is to utilize the capacity of computers in the design process in an alternative way, one that foregrounds and instrumentalizes the innate capacities of materials, manufacturing and construction processes rather than merely elaborating form in the digital realm. The computational approach that will be presented here questions the nature of current design processes, but it is not a call for the replacement of the architect by computer driven design. Rather, under this approach, architects, instead of creating exuberant shapes subsequently rationalised for constructability and superimposed functions, are able to define specific material and construction systems by the combined logics of formation and materialisation encoded in generative processes of computational morphogenesis.

Computational Morphogenesis

Computational morphogenesis is the word generally used for expressing those techniques or ways of thought by which the configuration or the system of structures is generated mainly through the usage of computers, which is realized on the firm foundation of both FEM as a tool of numerical analysis and various methods based on relatively newly-developed algorithms for structural optimization. Recently, it has been gaining a considerable number of users such as structural engineers or architects for the structural design of actual buildings as well as proposals for architectural competitions. Here we present the state of the art in computational morphogenesis especially in Japan as well as the future prospects for computational morphogenesis.

Computation of Spatial Structures

pioneer in the area of computation of shell and spatial structures. The extended abstracts constituting the conference proceedings as well as videos of the eight plenary lectures (with slides) and of the Scordelis Memorial Lectures are freely available on Cornell University Library’s eCommons website at http://eCommons.library.cornell.edu/handle/1813/11 516. With only space for a small number of full papers in this issue, it was decided to focus primarily on one selected theme – computational morphogenesis, including shape and topology optimization – that has emerged as a family of approaches for structural formfinding. Appropriately, the first paper in this issue is based on the plenary lecture on this theme presented by Hiroshi Ohmori. The following four papers draw from the sessions related to this selected theme. Finally, to present a small taste of the other themes, this issue concludes with a paper by Shiro Kato et al. on the seismic behavior of lattice domes with supporting structures that can buckle. As of this writing, the Seventh IASS-IACM Conference is being planned for Paris, 25–27 April 2012, under the organizational leadership of Adnan Ibrahimbegovic of LMT-Cachan. Further information will be forthcoming.

SIMULTANEOUS OPTIMIZATION WITH RESPECT TO BOTH SHAPE AND THICKNESS AND ITS APPLICATION

The scheme of computational morphogenesis for the shell structures with free curved surface is proposed, where shape and distribution of thickness can be simultaneously optimized. Generally, when nodal coordinates and shell thicknesses of finite element are adopted as design variables in structural optimization problem, computational cost generally becomes very large. In the proposed scheme, distribution of thickness is discretized according to the nodal points, and NURBS (Non Uniform Rational B-Spline) is utilized by which the number of unknowns can be controlled while the high degree of freedom for expression of the shape of the curved surface as well as the distribution of thickness are maintained. Consequently, the problem in question has been mathematically formulated as strain energy minimization problem where coordinates of NURBS control points with respect to both the shape of the curved surface and the distribution of thickness are adopted as design variables and numerical examples are presented where the effectiveness of the proposed scheme is investigated.

COMPUTATIONAL MORPHOGENESIS OF BUILDING STRUCTURE USING GROUND STRUCTURE APPROACH

In this paper, a ground structure approach for computational morphogenesis of building structure is shown. In this method, it is difficult to obtain exact solutions by general non-linear programming methods when the members of ground structure increase. In this paper, some examples that the solution dose not converge to exact solution are shown, and a method for solving this problem is proposed. In the proposed method, SLP or CONLIN method is used as solver of the optimization problem. Several numerical examples are presented to demonstrate the effectiveness of the proposed method. Also, it is shown that this method can be used for computational morphogenesis of building structure.

Computational Morphogenesis Based Structural Design by Using Material Topology Optimization#

This study proposes that appropriate topologies and shapes for structural design can be investigated through a computational morphogenesis of structural material topology optimization. Substantially, the morphogenesis has been motivated in order to properly describe mechanisms of natural and biological shapes such as tissues or cells. According to this concept, the numerical examples of architectural and civil structural designs for building walls or bridges demonstrate that the computational morphogenesis produces an aesthetic, functional, and safe structural design, when compared to the typical structural design.

設計者の選好と力学的合理性を勘案した自由曲面シェル構造の構造形態創生法の提案 : その2 最適性条件による理論的解法

The scheme of computational morphogenesis for the shell structures with free curved surface is proposed, where the requirement on both the aesthetic aspect and the structural rationality can be simultaneously satisfied according to the judgment of the designer. In the proposed scheme, Non Uniform Rational B-Spline (NURBS) is utilized by which the number of unknowns can be controlled while the high degree of freedom for expression of the shape of the curved surface is maintained. For the scale index concerning with the aesthetic aspect, the degree of difference between the curved surfaces given by the designers and those given by computation has been adopted and, on the other hand, the strain energy of the structures has been adopted as the quantitative scale for the mechanical measurement. Consequently, the problem in question has been mathematically formulated as the multi-objective optimization problem, where the optimality conditions are utilized for obtaining the Pareto solutions.