Computational form-finding of tension membrane structures?Non-finite element approaches: Part 2. Triangular mesh discretization and control of mesh distortion in modelling minimal surface membranes

2003 ◽  
Vol 56 (5) ◽  
pp. 669-684 ◽  
Author(s):  
J. S. Brew ◽  
W. J. Lewis
Keyword(s):  
Finite Element ◽  
Minimal Surface ◽  
Triangular Mesh ◽  
Membrane Structures ◽  
Form Finding ◽  
Mesh Distortion ◽  
And Control ◽  
Computational Form

A Computational Study on Tensioned Fabric Structure in the Form of Richmond’s

2018 ◽  
Vol 777 ◽  
pp. 538-542
Author(s):  
Hooi Min Yee ◽  
Natasha Zureena Arabi ◽  
Abdul Malek Afiqah Nurul ◽  
Rohamezan Rohim ◽  
Amer Yusuff
Keyword(s):  
Minimal Surface ◽  
Computational Study ◽  
Equilibrium Shape ◽  
Form Finding ◽  
Alternative Source ◽  
Fabric Structure ◽  
Alternative Choice ◽  
Fabric Structures ◽  
Computational Form ◽  
Selection Of

Computational form-finding analysis need to be carried out for tensioned fabric structure in order to determine the initial equilibrium shape under prescribed pre-stress and boundary condition. Tensioned fabric structure is highly suited to be used for realizing surfaces of complex or new forms. However, research study on a new form as a tensioned fabric structure has not attracted much attention. Alternative source of inspiration of minimal surface which could be adopted as form for tensioned fabric structure is very crucial. The aim of this study is to investigate initial equilibrium shape of tensioned fabric structures in the form of Richmond’s minimal surfaces using nonlinear analysis method. The study proposes an alternative choice for engineer to consider the Richmond’s minimal surface withr=0.24,t=1.31;r=0.34,t=1.21andr=0.44,t=1.11 applied in tensioned fabric structure. The results on parameter range in Richmond’s minimal surface can serve as a reference for proper selection of surface parameter for achieving a structurally viable surface.

Membrane Structures - Aspects of Form-Finding Process

2017 ◽  
Vol 1144 ◽  
pp. 28-33
Author(s):  
Miloš Huttner ◽  
Petr Fajman ◽  
Jiří Maca
Keyword(s):  
Minimal Surface ◽  
Minimal Surfaces ◽  
Minimal Length ◽  
Static Equilibrium ◽  
Design Stage ◽  
Membrane Structures ◽  
Form Finding ◽  
Basic Principles ◽  
Search Condition

This paper is concerned with the selected aspects, which are discovered during a design stage of cable and membrane structures, known as “form-finding” process. The aim of this paper is the understanding of the basic principles of the form-finding process and their explanation of the very simple examples. The use of the finding a shape of a tension membrane that is in static equilibrium as an analogy with the search condition of minimal surfaces is explained. The basic principles are demonstrated on simple 2D example, in which the finding a stable minimal surface passes in the finding a stable minimal length.

Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

2015 ◽  
Vol 754-755 ◽  
pp. 743-746 ◽  
Author(s):  
Hooi Min Yee ◽  
Haslinda Abdul Hamid ◽  
Mohd Nasir Abdul Hadi
Keyword(s):  
Minimal Surface ◽  
Form Finding ◽  
Fabric Structure ◽  
Computer Investigation ◽  
Alternative Choice ◽  
Two Parameter ◽  
Computational Form

Form-finding of tensioned fabric structure in the form of Enneper minimal surface has been investigated. Computational form-finding is frequently used to investigate the possible forms of uniformly stressed surfaces. In this study, two parameter of Enneper minimal surface was used in this study are u and v = 0.4 and 1.2. This study provides an alternative choice for engineer to consider the Enneper minimal surface, u = v = 0.4 and 1.2 to be applied in tensioned fabric structure.

scholarly journals Form-finding software and minimal surface equation: A comparative approach

Filomat ◽  
2015 ◽  
Vol 29 (10) ◽  
pp. 2447-2455 ◽  
Author(s):  
Jana Lipkovski ◽  
Aleksandar Lipkovski
Keyword(s):  
Minimal Surface ◽  
Minimal Surfaces ◽  
Iterative Process ◽  
Comparative Approach ◽  
Membrane Structures ◽  
Form Finding ◽  
Fixed Boundary ◽  
Minimal Surface Equation ◽  
Finite Differences Method ◽  
Commercial Package

The shape of membrane and cable-net structures is usually modeled by geometry of minimal surfaces. Using central finite differences method, a nonlinear iterative process for finding the minimal surface with given fixed boundary conditions is developed and implemented in Mathematica?. Having in mind form-finding of membrane structures, the results are compared with the results obtained by commercial package EASY?, made by Technet GmbH, Germany.

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