An iterative form-finding method for antifunicular shapes in spatial arch bridges

2012 ◽  
Vol 108-109 ◽  
pp. 42-60 ◽  
Author(s):  
Juan José Jorquera Lucerga ◽  
Javier Manterola Armisén
Keyword(s):  
Form Finding ◽  
Arch Bridges ◽  
Finding 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.

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

A form-finding method of beam string structures — Offload by steps method

2012 ◽  
Vol 12 (2) ◽  
pp. 267-283 ◽  
Author(s):  
Jihong Ye ◽  
Ruo-qiang Feng ◽  
Xianbo Zhao ◽  
Bin Liu
Keyword(s):  
Form Finding ◽  
Finding Method

Analytical Form-Finding for Highly Symmetric and Super-Stable Configurations of Rhombic Truncated Regular Polyhedral Tensegrities

2019 ◽  
Vol 86 (3) ◽  
Author(s):  
Li-Yuan Zhang ◽  
Shi-Xin Zhu ◽  
Xiao-Fei Chen ◽  
Guang-Kui Xu
Keyword(s):  
Analytical Form ◽  
Force Density ◽  
High Symmetry ◽  
Form Finding ◽  
Biomechanical Models ◽  
Irregular Shapes ◽  
Mechanical Metamaterials ◽  
Equilibrium Matrix ◽  
Mechanical Devices ◽  
Finding Method

Tensegrities have exhibited great importance and numerous applications in many mechanical, aerospace, and biological systems, for which symmetric configurations are preferred as the tensegrity prototypes. Besides the well-known prismatic tensegrities, another ingenious group of tensegrities with high symmetry is the truncated regular polyhedral (TRP) tensegrities, including Z-based and rhombic types. Although Z-based TRP tensegrities have been widely studied in the form-finding and application issues, rhombic TRP tensegrities have been much less reported due to the lack of explicit solutions that can produce their symmetric configurations. Our former work presented a unified solution for the rhombic TRP tensegrities by involving the force-density method which yet cannot control structural geometric sizes and may produce irregular shapes. Here, using the structural equilibrium matrix-based form-finding method, we establish some analytical equations, in terms of structural geometric parameters and force-densities in elements, to directly construct the self-equilibrated, symmetric configurations of rhombic TRP tensegrities, i.e., tetrahedral, cubic/octahedral, and dodecahedral/icosahedral configurations. Moreover, it is proved, both theoretically and numerically, that all of our obtained rhombic TRP tensegrities are super-stable and thus can be stable for any level of the force-densities without causing element material failure, which is beneficial to their actual construction. This study helps to readily design rhombic tensegrities with high symmetry and develop novel biomechanical models, mechanical metamaterials, and advanced mechanical devices.

scholarly journals Form-Finding of Funicular Geometries in Spatial Arch Bridges through Simplified Force Density Method

2018 ◽  
Vol 8 (12) ◽  
pp. 2553 ◽  
Author(s):  
Juan Jorquera-Lucerga
Keyword(s):  
Three Dimensional ◽  
Vertical Plane ◽  
Force Density ◽  
Functional Requirements ◽  
Form Finding ◽  
Arch Bridge ◽  
Density Method ◽  
Force Density Method ◽  
Axial Forces ◽  
Arch Bridges

In a “classical” vertical planar arch bridge subjected only to in-plane loads, its funicular geometry (which is the geometry that results in an equilibrium state free from bending stresses, i.e., simply under axial forces) is contained within a vertical plane. In the so-called “spatial arch bridges,” their structural behavior extends from the essentially vertical in-plane behavior of the “classical” arch bridges to a three-dimensional behavior. The paper presents how the Force Density Method, which is a form-finding method originally developed for cable meshes, can be simplified to easily obtain three-dimensional funicular arches. The formulation and flow chart of the method is presented and discussed in detail within this paper. Additionally, some case studies illustrate its scope. This paper intends to be useful at the conceptual stage of bridge design when the three-dimensional geometry for the spatial arch bridge typology is considered either because of functional requirements, structural efficiency, or for aesthetical purposes.

scholarly journals A Form Finding Method for Arch Bridges Using Parametric Level Set Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Yadong Shen ◽  
Jianhu Feng ◽  
Xiaohan Cheng ◽  
Xuntao Wang ◽  
Changhao Zhang
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Technique ◽  
Design Stage ◽  
Force Transmission ◽  
Form Finding ◽  
Preliminary Design Stage ◽  
Arch Bridges ◽  
Parametric Level Set Method

Topology optimization has developed rapidly in the past three decades; as a creative and efficient optimization technique, it has been applied in engineering fields of aerospace and mechanical. However, there are a few attempts in bridge form design. In this paper, the parametric level set method is utilized to solve the form finding of arch bridges. The optimization model for minimizing the structural compliance under the volume constraint is built. Three numerical examples of form finding of arch bridges are studied. Results show that the optimal structures which have well-distributed stress and smooth force transmission are almost identical with the actual forms of arch bridges. The optimal forms can be treated as alternatives in the preliminary design stage, and topology optimization has a bright prospect in form finding of arch bridges.

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