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Journal of Structural and Construction Engineering 2024年第826期89卷 1379-1384页

作者： Kawamori, Keisuke Terai, Masakazu Manabe, Masatoshi Fujii, Daiji Graduate School Kindai University Japan Faculty of Engineering Kindai University Japan Masuoka Gumi Co. Ltd. Japan

This paper proposes a hybrid method using the SIMP (Solid Isotropic Material with Penalization) and IESO (Improved Evolutionary Structural Optimization) methods. In this method, the SIMP method adds to the IESO method's solution that it is locally optimal. On the other hand, the IESO method adds solution diversity to the SIMP method. The effectiveness of the proposed method is demonstrated by comparing it with the SIMP method using density filtering and the IESO method using sensitivity filtering. © 2024 Architectural Institute of Japan. All rights reserved.

关键词： Topology optimization IESO method SIMP method Hybrid method computational morphogenesis

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Benjamin W. Betts and his computable approach towards morphogenesis

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INTERNATIONAL JOURNAL OF ARCHITECTURAL COMPUTING 2023年第1期21卷 42-66页

作者： Soltan Rahmati, Hossein Ayatollahi, Mohammad Hossein Yazd Univ Dept Architecture Imam St Yazd 89195 Iran

Morphological theories in architecture are more popular than ever partly due to the rapid developments in computational techniques. This rapid development, however, is more fruitful when it is informed of the philosophical and ethical bases of such techniques. The neglected historical case of BenjaminW. Betts, an architect of the late Victorian Britain, is an early example of the effects of philosophical presuppositions on computable theories of morphogenesis in arts and architecture. The aims of this study are to shed light on his motivations and sources of inspiration, and also to present an algorithm for his procedure. We used the only book available on the Betts' works in addition to archival materials to conduct the research. Betts was under heavy influence of Idealism and Oriental thought in his symbology and the morphogenetic procedure he designed. The Python/Grasshopper algorithm for Rhino presented in this paper produces two dimensional Betts' diagrams that can be used as an educational tool or an opportunity of enjoying the beauty of mathematical forms, and the immense variety they offer thanks to parameterization.

关键词： fourth dimension architecture computational morphogenesis geometrical psychology

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Interactive exploration of tensile membrane structures for conceptual and optimal design

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STRUCTURES 2024年 60卷

作者： Marbaniang, Allan L. Kabasi, Sounak Ghosh, Siddhartha Indian Inst Technol Dept Civil Engn Mumbai 400076 India Indian Inst Technol Dept Civil Engn Struct Safety Risk & Reliabil SSRR Lab Mumbai 400076 India

Lightweight tensile membrane structures (TMS) are versatile solutions for covering large open spaces. These structures comprise of membrane fabric supported by cables and struts. TMS offer designers great flexibility in design. However, TMS design is unconventional because the initial shape is unknown and must be 'formfound'. This poses challenges during the conceptual design stage. To address this, a novel interactive generative framework has been developed in this study. It assists designers in exploring various TMS forms under different boundary conditions. The framework allows designers to incorporate both qualitative and quantitative performance objectives, by employing an evolutionary algorithm - including shape parameterisation and ranking - where designers actively participate in the optimisation process. Furthermore, the TMS prestress can be optimised against external loads. This robust framework is adaptable to various TMS shapes and is illustrated through diverse case studies.

关键词： Tensile membrane structures computational morphogenesis Generative design Interactive optimisation Conceptual design

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Mechanically-grown morphogenesis of Voronoi-type materials: Computer design, 3D-printing and experiments

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MECHANICS OF MATERIALS 2022年 173卷

作者： Hooshmand-Ahoor, Z. Tarantino, M. G. Danas, K. Inst Polytech Paris Ecole Polytech LMS CNRS F-91128 Palaiseau France Univ Paris Saclay ICMMO SP2M CNRS F-91405 Orsay France

The present work introduces a novel and versatile computer-design and experimental strategy to obtain random Voronoi-type geometries, called M-Voronoi (from mechanically grown), with smooth void shapes and variable intervoid ligament sizes that can reach very low relative densities. This is achieved via a numerical, large strain, nonlinear elastic, void growth mechanical process. Originally small circular voids embedded in a cell of arbitrary shape (triangle, circle, rectangle, trapezoid) grow when subjected to displacement (Dirichlet) boundary conditions. The deformed voids evolve into smooth Voronoi-type geometrical shapes leading to macroscopic isotropy or anisotropy depending on the prescribed boundary conditions. The void growth process is a direct consequence of mass conservation and the incompressibility of the surrounding nonlinear elastic matrix phase and the final achieved relative density may be analytically estimated in terms of the determinant of the applied deformation gradient. In order to study the mechanical properties of the M-Voronoi materials, we focus on two-dimensional porous polymer square representative isotropic and anisotropic geometries in terms of void size and realization, which are 3D-printed and experimentally tested under uniaxial compression. For comparison, we also test random polydisperse porous materials with circular voids, standard eroded Voronoi geometries and hexagonal honeycombs. The first two are also isotropic while the latter are only isotropic in the linear elastic regime. We show that the randomness of the M-Voronoi geometry and their non-uniform intervoid ligament size leads to enhanced mechanical properties at large compressive strains with no apparent peak-stress and strong hardening well before densification. By comparing them with the hexagonal geometries, which tend to exhibit a peak-stress and a plateau-type response, we show that the hardening response of the M-Voronoi is mainly due to their geometrical character

关键词： Voronoi materials Porous materials Architected materials computational morphogenesis Void growth 3D-printing

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A coupled reaction-diffusion-strain model predicts cranial vault formation in development and disease

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BIOMECHANICS AND MODELING IN MECHANOBIOLOGY 2019年第4期18卷 1197-1211页

作者： Lee, Chanyoung Richtsmeier, Joan T. Kraft, Reuben H. Penn State Univ Dept Mech Engn 341 Leonhard Bldg University Pk PA 16802 USA Penn State Univ Dept Anthropol 409 Carpenter Bldg University Pk PA 16802 USA Penn State Univ Dept Mech & Nucl Engn 320 Leonhard Bldg University Pk PA 16802 USA Penn State Univ Dept Biomed Engn University Pk PA 16802 USA Penn State Univ Inst Cybersci University Pk PA 16802 USA

How cells utilize instructions provided by genes and integrate mechanical forces generated by tissue growth to produce morphology is a fundamental question of biology. Dermal bones of the vertebrate cranial vault are formed through the direct differentiation of mesenchymal cells on the neural surface into osteoblasts through intramembranous ossification. Here we join a self-organizing Turing mechanism, computational biomechanics, and experimental data to produce a 3D representative model of the growing cerebral surface, cranial vault bones, and sutures. We show how changes in single parameters regulating signaling during osteoblast differentiation and bone formation may explain cranial vault shape variation in craniofacial disorders. A key result is that toggling a parameter in our model results in closure of a cranial vault suture, an event that occurred during evolution of the cranial vault and that occurs in craniofacial disorders. Our approach provides an initial and important step toward integrating biomechanics into the genotype phenotype map to explain the production of variation in head morphology by developmental mechanisms.

关键词： computational morphogenesis Finite volume method Intramembranous ossification Skull growth and evolution Craniosynostosis Brain Mouse model

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Topology Optimization of Free Formed Shells using Improved ESO 60

Topology Optimization of Free Formed Shells using Improved E...

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60th Anniversary Symposium of the International-Association-for-Shell-and-Spatial-Structures (IASS SYMPOSIUM) / 9th International Conference on Textile Composites and Inflatable Structures (STRUCTURAL MEMBRANES)

作者： Otani, Koki Kamimura, Koichi Matsumoto, Shinya Fujii, Daiji Kindai Univ Grad Sch Syst Engn 1 Takaya Umenobe Hiroshima 7392116 Japan Kinoshita Struct Engineers Hiroshima Japan Kindai Univ Fac Engn Higashiosaka Osaka Japan

ISBN: (纸本)9788412110104

D. Fujii et al. [1] proposed the topology optimization method using voxel finite element method for morphogenesis of continuum shell structures. In this method, unnecessary elements are gradually removed from the fixed design domain (rectangular parallelepiped divided by voxels) to obtain the optimal morphology. And, Improved Evolutionary Structural Optimization (IESO) method [2-4] is used for removing the elements in the optimization process. Also, the external force is uniformly applied as body force (inertial force) over the entire design domain. In the proposed method, the morphology of shell structure is obtained in which are simultaneously optimized. In the previous paper [1], we verified the effectiveness of this method with basic examples such as hemispherical shell and cylindrical shell. In this paper, we verify that this method can create various morphologies of shell structures by showing the several numerical examples.

关键词： Topology optimization ESO method computational morphogenesis Continuum shell structures Voxel finite element method

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On the internal architecture of emergent plants

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JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 2018年 119卷 224-239页

作者： Zhao, Zi-Long Zhou, Shiwei Feng, Xi-Qiao Xie, Yi Min RMIT Univ Sch Engn Ctr Innovat Struct & Mat Melbourne Vic 3001 Australia Tsinghua Univ Dept Engn Mech Inst Biomech & Med Engn Beijing 100084 Peoples R China XIE Archistruct Design Shanghai Co Ltd Shanghai 200092 Peoples R China

It remains a puzzling issue why and how the organs in plants living in the same natural environment evolve into a wide variety of geometric architecture. In this work, we explore, through a combination of experimental and numerical methods, the biomechanical morphogenesis of the leaves and stalks of representative emergent plants, which can stand upright and survive in harsh water environments. An interdisciplinary topology optimization method is developed here by integrating both mechanical performance and biological constraint into the bi-directional evolutionary structural optimization technique. The experimental and numerical results reveal that, through natural selection over many million years, these leaves and stalks have been optimized into distinctly different cross-sectional shapes and aerenchyma tissues with intriguing anatomic patterns and improved load-bearing performance. The internal aerenchyma is an optimal compromise between the mechanical performance and functional demands such as air exchange and nutrient transmission. We find that the optimal distribution of the internal material depends on multiple biomechanical factors such as the cross-sectional geometry, hierarchical structures, boundary condition, biological constraint, and material property. This work provides an in-depth understanding of the property-structure-performance-function interrelations of biological materials. The proposed topology optimization method and the presented biophysical insights hold promise for designing highly efficient and advanced structures (e.g., airplane wings and turbine blades) and analyzing other biological materials (e.g., bones, horns, and beaks). (C) 2018 Elsevier Ltd. All rights reserved.

关键词： Aerenchyma Anatomic pattern computational morphogenesis Structural topology optimization Voronoi diagram

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A computational ANALYSIS OF BONE FORMATION IN THE CRANIAL VAULT USING A REACTION-DIFFUSION-STRAIN MODEL

A COMPUTATIONAL ANALYSIS OF BONE FORMATION IN THE CRANIAL VA...

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作者： Lee, Chanyoung PennState University Libraries

学位级别：Doctor of Philosophy

Bones of the mouse cranial vault are formed by differentiation of mesenchymal cells into osteoblasts, a process that is primarily understood to be controlled by a cascade of reactions between extracellular molecules and cells. We assume that the process can be modeled using Turing’s reaction-diffusion model, a mathematical model describing the pattern formation controlled by two interacting molecules (activator and inhibitor). In addition to the processes modeled by reaction-diffusion equations, we propose that mechanical stimuli of the cells due to growth of the underlying brain contribute significantly to the process of cell differentiation in cranial vault development. Structural analysis of the surface of the brain is conducted to explore the effects of the mechanical strain on bone formation. We propose a mechanobiological model for the formation of cranial vault bones by coupling the reaction-diffusion model with structural mechanics. The mathematical formulation was solved using the finite volume method. The computational domain and model parameters are determined using a large collection of experimental data that provides precise three-dimensional (3D) measures of mouse cranial geometry and cranial vault bone formation for specific embryonic time points. The results of this study suggest that mechanical strain contributes information to specific aspects of bone formation. Our mechanobiological model predicts some key features of cranial vault bone formation that were verified by experimental observations including the relative location of ossification centers of the individual vault bones, the pattern of cranial vault bone growth over time, and the position of cranial vault sutures.

关键词： computational morphogenesis finite volume method skull growth developmental biology mechanobiology intramembranous ossification

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Brick Patterning on Free-Form Surfaces

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NEXUS NETWORK JOURNAL 2017年第1期19卷 5-25页

作者： Rajabzadeh, Shaghayegh Sassone, Mario Politecn Torino DAD Turin Italy Politecn Torino Turin Italy

With the aim of proposing vaults and domes in contemporary architecture, this paper explores an innovative method to help designers model the brick patterning on a curved surface automatically and interactively, especially during the early design phases, when most important decisions are made. The focus is on the development of a modeling approach to patterning, capable of defining the brick courses, handling mortar thickness, and controlling all the related geometrical issues of free-form surfaces. A computational environment has been developed and implemented to simulate patterning in 3-D space, allowing the user to develop the arrangement of bricks on a desired structure. With this digital tool it is possible to model different kinds of patterns such as stretcher bond or herringbone pattern on any kind of free-form surface, increasing the accuracy and speed of construction and enabling the designer and builder to estimate the brick requirements before fabrication.

关键词： Masonry vaulting Brick dome computational morphogenesis Brick pattern Bricklaying Interactive tool Automatic brick pattern modeling

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Structures, Algorithms and Stone/Timber Prototypes

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NEXUS NETWORK JOURNAL 2017年第1期19卷 209-215页

作者： Colella, Micaela Univ Roma Tre Politecn Bari Consorzio Argonauti Dipartimento Sci Ingn Civile & Architettura Via Orabona 4 I-70125 Bari Italy

A one-day seminar on structures, algorithms and stone/timber prototypes was held on 11 January, 2016 at the Department of Civil Engineering and Architecture (DICAR) of the Politecnico di Bari. The event included an ex... 详细信息

关键词： Digital stereotomy Post-formed grid shell Thin shell computational morphogenesis Algorithms in architectural design Genetic algorithm

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