scholarly journals A Form-Finding Method for Branching Structures Based on Dynamic Relaxation

2021 ◽  
Vol 11 (15) ◽  
pp. 7165
Author(s):  
Guigang Tu ◽  
Chen Chen ◽  
Zaijing Gong ◽  
Yueren Wang
Keyword(s):  
Free Form ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Branching Structures ◽  
Axial Forces ◽  
Branching Model ◽  
Grid Shell ◽  
Joint Form ◽  
Rational Shape ◽  
Finding Method

Branching structure is often used as a supporting structure of the grid shell due to its geometrical and force-transferring features, and the rationality of its shape is very important. The “physical” and “numerical” hanging models can be used for the joint form-finding of the branching structure and free-form grid shell. However, slack elements may exist in the equilibrium model which corresponds to the inefficient members in the form-found branching structure. To solve this problem, a form-finding method of branching structure based on dynamic relaxation is proposed in this study. The proposed method clusters the elements of the branching model and equalizes the axial forces of the elements in the same cluster, in other words, there are no slack elements in the equilibrium branching model. This method overcomes the defect that the equilibrium branching model may have slack elements and needs many manual adjustments during the procedure of determining the rational shape of a branching structure, and effectively prevents the inefficient members existing in the form-found structure. Numerical examples are provided to demonstrate the characteristics of the proposed method and its effectiveness is verified as well.

ARCHITECTURAL POTENTIALITY OF FREE-FORM STRUCTURES

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Anas Hameed ◽  
Hoda Al-Alwan ◽  
Nazar Oukaili
Keyword(s):  
Parametric Design ◽  
Weight Ratio ◽  
High Strength ◽  
Free Form ◽  
Form Finding ◽  
Shell System ◽  
Construction Techniques ◽  
Grid Shell ◽  
Architectural Structures ◽  
Free Form Structures

Contemporary architecture has witnessed a new innovative trend in design characterized by the creation of interesting free-flowing structures that reflect expressiveness of form and design, as well as the uniqueness of structure and approaches of construction. These fascinating structures are often perceived as landmarks that blend harmoniously into their surroundings. In the last two decades, parametric design and advanced computational tools, with prefabrication and construction techniques, enabled architects and engineers to explore new materials and methods to create such impressive structures, breaking the obsolete ways of thinking. Several examples of free-form structures lack obviously to explore architectural potentialities, that enrich the intention of architect, are still unformulated. The main objective of the present paper includes a conceptual proposal exploring the architectural potentiality of the free-form structures, focusing on form-finding possibilities through optimizing both the geometry and the mass of the structure, to generate configurations that ensure self-supported forms with stable force equilibrium. The paper introduces two simplified analytical methods to achieve the efficiency of the free-form architectural structures: the first depends on using extra materials to strengthen surfaces (such as grid shell system), and the second includes changing the geometry to achieve high “strength-to-weight” ratio (such as folding or conical self supports). By applying these methods, it is possible to explore various form-finding possibilities that contribute to the generation of characteristic landmarks with impressive structures.

scholarly journals Estimation Of Young’s Modulus Of Elesticity By The Form Finding Of Grid Shell Structures By The Dynamic Relaxation Method

2015 ◽  
Vol 23 (4) ◽  
pp. 25-30 ◽  
Author(s):  
Ivana Grančičová ◽  
Ján Brodniansky
Keyword(s):  
Young’S Modulus ◽  
Young's Modulus ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Grid Shell ◽  
Important Input ◽  
Internal Forces ◽  
Considerable Impact ◽  
Dynamic Relaxation Method

Abstract The paper is basically focused on the process of form finding by the dynamic relaxation method (DRM) with the aid of computational tools that enable us to make many calculations with different inputs. There are many important input values with a significant impact on the course of the calculations and the resulting displacement of a structure. One of these values is Young’s modulus of elasticity. This value has a considerable impact on the final displacement of a grid shell structure and the resulting internal forces.

scholarly journals Form-finding optimization methods for free-form reticulated shells: Reverse realization and numerical simulation

2017 ◽  
Vol 9 (11) ◽  
pp. 168781401773725 ◽  
Author(s):  
Na Li ◽  
Jinyu Lu ◽  
Wei Zong ◽  
Yihe Fan
Keyword(s):  
Numerical Simulation ◽  
Optimization Methods ◽  
Free Form ◽  
Form Finding

Form-finding of deployable mesh reflectors using dynamic relaxation method

2018 ◽  
Vol 151 ◽  
pp. 380-388 ◽  
Author(s):  
Xinyu Wang ◽  
Jianguo Cai ◽  
Ruiguo Yang ◽  
Jian Feng
Keyword(s):  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Dynamic Relaxation Method

Informed Forms and Matters

2021 ◽  
pp. 62-77
Author(s):  
Negar Kalantar ◽  
Alireza Borhani
Keyword(s):  
Design Process ◽  
Design Education ◽  
Early Stage ◽  
Pedagogical Approach ◽  
Form Finding ◽  
Stage Design ◽  
Early Design ◽  
Early Stage Design ◽  
Finding Method ◽  
Proper Balance

After sufficient consideration for the proper balance between material and formal constraints, this chapter describes a pedagogical approach that transforms the education of future architects through a 'form-finding' method, allowing the material to accommodate itself to form and celebrate its own nature. To enhance pedagogical improvement of foundational studies in architecture and further explore this pedagogy based on form-finding in early design education, this chapter also presents the challenges to integrating materiality within the design process, as derived from the incorporation of experimental form-finding methods into early-stage design.

Cable-Membrane Structures - Numerical Analysis and Practical Application

2016 ◽  
Vol 837 ◽  
pp. 99-102
Author(s):  
Milos Huttner ◽  
Jiří Maca ◽  
Petr Fajman
Keyword(s):  
Numerical Analysis ◽  
Relaxation Method ◽  
Computation Method ◽  
Practical Application ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Form Finding ◽  
Correct Operation ◽  
Commercial Program ◽  
Dynamic Relaxation Method

This paper presents a practical application of form-finding process of cable-membrane structures. The dynamic relaxation method with kinetic damping is used as the computation method for numerical analysis. A brief description of the construction, a description of the models and the way of solving tasks will be introduced. The correct operation of the implemented algorithm will be compared with a commercial program.

scholarly journals Form-Finding of Tensegrity Model with Triangular Cells

2018 ◽  
Vol 7 (3.36) ◽  
pp. 137
Author(s):  
Nur Farizah Filzah Naing ◽  
Oh Chai Lian ◽  
Ilyani Akmar Abu Bakar ◽  
Mohd Raizamzamani Md Zain
Keyword(s):  
Inverse Method ◽  
Equilibrium Equations ◽  
Form Finding ◽  
Tensegrity Structures ◽  
Weight Structure ◽  
Tensegrity Model ◽  
Generalized Inverse Method ◽  
Stage Class ◽  
System Of Equilibrium Equations ◽  
Finding Method

Tensegrity structures is a light-weight structure compared to concrete structures that are heavy and rigid in shape. The studies on form-finding for tensegrity configuration are still ongoing and have been extensively conducted. Additionally, many proposed tensegrity structures have not been built for real applications. This study aims to determine potential self-equilibrated configurations of three-stage Class I tensegrity model assemblage with triangular cells, which may be applied as deployable towers. The form-finding methodology involves phases in establishment of desired form and formulation for the self-equilibrated state. The system of equilibrium equations was solved by Moore-Penrose generalized inverse method.  A range of twist angles 10o – 50o for triangular cells was investigated in the form-finding process.  It was found that the form-finding method via changing of twist angles has successfully search self-equilibrated tensegrity models.  

A non-invasive form finding method with application to metal forming

2016 ◽  
Vol 10 (1) ◽  
pp. 93-102 ◽  
Author(s):  
Philipp Landkammer ◽  
Thomas Schneider ◽  
Robert Schulte ◽  
Paul Steinmann ◽  
Marion Merklein
Keyword(s):  
Metal Forming ◽  
Form Finding ◽  
Non Invasive ◽  
Finding Method
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