Masaaki Miki

Masaaki Miki
The University of Tokyo | Todai · College of Art and Science & Graduate School of Arts and Sciences

PhD

About

27
Publications
10,757
Reads
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269
Citations
Introduction
Stress function, tension-compression mixed shell, purely geometric problems in architectural design and construction
Additional affiliations
February 2014 - present
The University of Tokyo
Position
  • PostDoc Position
August 2012 - February 2014
Japan Science and Technology Agency (JST)
Position
  • PostDoc Position

Publications

Publications (27)
Article
Full-text available
This paper presents a method that employs parametric surfaces as surface geometry representations at any stage of a computational process to compute self-supporting surfaces. This approach can be differentiated from existing relevant methods because such methods represent surfaces by a triangulated mesh surface or a network consisting of lines. The...
Article
Full-text available
This paper presents an extension to the existing dynamic relaxation method to include equality constraint conditions in the process. The existing dynamic relaxation method is presented as a general, gradient-based, minimization technique. This representation allows for the introduction of the projected gradient, discrete parallel transportation and...
Conference Paper
Full-text available
Copyright © 2014 by the authors. Published by the International Association for Shell and Spatial Structures (IASS) with permission. Abstract A simple computational algorithm to construct geodesics on implicit surfaces is presented. Although geodesics are known as shortest paths between two points on a surface, there is another viewpoint of geodesi...
Article
Full-text available
Editor's Note: The first author of this paper is one of the four winners of the 2010 Hangai Prize, awarded for outstanding papers that are submitted for presentation and publication at the annual IASS Symposium by younger members of the Association (under 30 years old). It is re-published here with permission of the editors of the proceedings of th...
Conference Paper
Full-text available
Metal-glass grid shells are increasingly being constructed worldwide. However, the efficiency of their construction can be improved from both structural and assembly viewpoints. Many studies have noted that aligning the principal stress and principal curvature nets enables the design of grid shell structures that are both structurally efficient and...
Article
In architecture, shapes of surfaces that can withstand gravity with no bending action are considered ideal for shell structures. Those shells have special geometries through which they can stream gravitational force toward the ground via stresses strictly tangent to the surface, making them highly efficient. The process of finding these special for...
Conference Paper
Full-text available
Our recent paper, "Interactive exploration of tension-compression mixed shells" [1], discusses the topic of the form-finding of shell structures in which both compression and tension are present and proposes a novel numerical approach that can iteratively refine the problem until a solution is found. This is achieved by regarding two surfaces-a she...
Article
Full-text available
This is our second siggraph paper discusses NURBS-based form-finding of shells. It points out that a bilinear equation can be solved by the Variable Projection method, even when the resulting prpblem is a hyperboloic boundary value problem.
Conference Paper
Full-text available
Tension-compression mixed shell form-finding is deserving of more attention. In the history of construction, a constant focus has been on optimal forms that stand against gravity by in-plane stresses streaming along the form. Regardless of what has been found by experiments using physical models or by numerical methods, finding forms in pure compre...
Preprint
Full-text available
引張り圧縮混合型シェルの形状決定の日本語訳です。
Article
Pure-compression shells have been the central topic in the form-finding of shells. This study investigated tension-compression mixed-type shells by utilizing a NURBS-based isogeometric form-finding approach that analyses Airy stress functions to expand the possible plan geometry. A complete set of smooth version graphic statics tools is provided to...
Conference Paper
Full-text available
This paper aims to provide a small note on a problem with compatible boundary conditions that occurs when both tension and compression forces are allowed in the membrane shell form-finding. The Airy stress function is employed as a primary tool in a process, and a stress function that allows us to avoid the problem is presented. Shell structures th...
Preprint
Full-text available
Pure-compression shells have been the central topic in the form-finding of shells. This paper studies tension-compression mixed type shells by utilizing a NURBS-based isogeometric form-finding approach that analyzes Airy stress functions to expand the possible plan geometry. A complete set of smooth version graphic statics tools is provided to supp...
Preprint
Full-text available
Pure-compression shells have been the central topic in the form-finding of shells. This paper studies tension-compression mixed type shells by utilizing a NURBS-based isogeometric form-finding approach that analyzes Airy stress functions to expand the possible plan geometry. A complete set of smooth version graphic statics tools is provided to supp...
Conference Paper
Full-text available
This paper introduces force diagrams represented by a set of NURBS surfaces. A NURBS-based computational form-finding method that utilizes Airy stress functions for continuum shell form-finding was presented at SIGGRAPH 2015 [1]. The Airy stress function also has been explored for form-finding and analysis of discrete 2D trusses, with the discrete...
Article
This paper focuses on the use of graphic statics in both the two and three-dimensional layout of structures, and in the purely geometric panelization of architectural surfaces. The paper will present an in-house computer program for graphic statics including an untangling algorithm, a topology optimizer based on the Newton method with constraints a...
Conference Paper
This paper focuses on the use of graphic statics in both the two and three-dimensional layout of structures, and in the purely geometric panelization of architectural surfaces. The paper will present an in-house computer program for graphic statics including an untangling algorithm, a topology optimizer based on the Newton method with constraints...
Conference Paper
Full-text available
This paper presents a new computational method for computing funicular, i.e. compression-only, shells, also referred to as self-supporting surfaces (Miki et al. [14]). In this method, both input and output geometries are represented by NURBS, which allows for a precise and smooth controlled form finding without the need of discretization. The metho...
Conference Paper
Full-text available
We developed a small program named " Sprout " , which aimed at converting curves and surfaces into the forms 3d-printable. This program automatically merges curves and surfaces and adds thickness to them. The eventual output is guranteed to be a " clean " triangulated mesh surface that is accepted by a popular 3d-printing services. The algorithm is...
Article
Full-text available
Recent digital fabrication tools have opened up accessibility to personalized rapid prototyping; however, such tools are limited to product-scale objects. The materials currently available for use in 3D printing are too fine for large-scale objects, and CNC gantry sizes limit the scope of printable objects. In this paper, we propose a new method fo...
Article
Full-text available
Elastic beams or rods in two and three dimensions produce smooth curves by minimizing the strain energy due to classical Euler-Bernoulli bending and Saint-Venant torsion subject to constraints on the arc length and end positions and orientations. However it is possible to postulate other strain energy measures. In this paper we describe a strain en...
Article
Full-text available
抄録 The aim of this work is to propose making use of three-term method, as one of the standard direct minimization approaches, in searches of solutions in various static problems of structures. In the first part of this work, two simple recursive methods, namely two-term and three-term methods are presented as standard iterative direct minimization...
Article
Full-text available
This work aims to provide standard formulations for direct minimization approaches on various types of static problems of continuum mechanics. Particularly, form-finding problems of tension structures are discussed in the first half and the large deformation problems of continuum bodies are discussed in the last half. In the first half, as the stan...
Article
Full-text available
The objective of this work can be divided into two parts. The first one is to propose an extension of the force density method (FDM)(H.J. Schek, 1974), a form-finding method for prestressed cable-net structures. The second one is to present a review of various form-finding methods for tension structures, in the relation with the extended FDM. In th...
Article
Within this work, direct minimization approaches on static problems of membranes are discussed. In the first half, standard direct minimization methods are discussed. Some form-finding analyses of tension structures are also illustrated as simple direct minimization approaches. In the second half, the principle of virtual works for cables, membrane...
Article
Full-text available
Numerous form-finding methods have been proposed for tension structures. While these methods are satisfyingly effective they require some special experiences or techniques for practical applications. This paper introduces the application of the generalized steepest descent method to finding minimal surfaces putting stress on its simple numerical co...

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