Structural Reciprocity: Critical Overview and Promising Research/Design Issues

Pugnale, Alberto; Sassone, Mario

doi:10.1007/s00004-014-0174-z

Cited by 32 publications

(28 citation statements)

References 31 publications

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“…Nexorades, also known as reciprocal frames [1,2], are constituted of load-bearing members, which support each other along their span and not their extremities [3]. Their arrangement simplifies the construction of connection details, since only two members meet instead of four in quadrangular structures, or six in triangulated structures.…”

Section: Motivationmentioning

confidence: 99%

Form finding of nexorades using the translations method

Mesnil

Douthe

Baverel

et al. 2018

Automation in Construction

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This article proposes a new computational method for the form-finding of nexorades, also called reciprocal frames in the literature. The method is based on the translations of members forming the initial layout. It is shown that the two geometrical quantities defining nexorades-eccentricity and engagement length-depend linearly on the transformation parameters. The method introduced in this article is thus based on linear algebra, so that fitting problems can be formulated as simple quadratic optimisation problems under linear constraints. The proposed method is therefore fast, simple to implement, robust and can be applied to various grid patterns. Furthemore, the proposed framework preserves planar facets. This paper proposes thus a new structural system where the nexorade is braced by planar facets. The feasibility of this structural system and of the computational framework introduced in this article is demonstrated by the fabrication of a 50m 2 timber pavilion.

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Section: Motivationmentioning

confidence: 99%

Form finding of nexorades using the translations method

Mesnil

Douthe

Baverel

et al. 2018

Automation in Construction

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“…A reciprocal structure is formed by modules that support each other forming a closed system where there is no structural hierarchy, that is to say, there is no module more important than the other one [28,29]. Structures of modules that are repeated can be found in this category, sharing the direction and mechanism of opening of the vegetable; this makes the drive of all modules to be interconnected such that a change of pressure in one of the modules promotes the whole system to self-balance from the self-organization and the joint work of the parts [30].…”

Section: Reciprocal Geometriesmentioning

confidence: 99%

Classification, Characterization and Abstraction of Vegetable Surfaces for Design

Patiño¹,

Torreblanca-Díaz²,

Valencia-Escobar³

et al. 2019

Int. J. DNE

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Biological design tools such as biomimicry and bio-inspiration are increasingly used resources to solve design and engineering problems, owing to their high probability of finding efficient technical solutions and novel morphologies with the potential to positively impact the environment. This article focuses on the development of a methodology for the morphological characterization of plant surfaces, which can be applied in a conventional design or research project based on biological information. The process proposed here is part of the results of the research project 'Repertory of bio-inspired surfaces and textures, through morphological experiments with Digital Manufacturing Technologies'. For the development of the characterization, the observation and selection of 225 species, which were grouped and categorized based on the predominant geometric characteristics, resulting in six categories: basic geometries, reciprocals, reliefs, ramifications, folds and visual texture. Then, the natural models were evaluated qualitatively and the representative samples of each category to later perform the process of digital abstraction using CAD and parametric tools. In the process of abstraction a description and visual analysis is made from: transition points, contours, symmetries, cross-sections and basic patterns as straight lines, sections of circle, circumferences, ellipses and/or parabolas. It was possible to verify that the three-dimensional interpretation that was made digitally of the textures, preserve the fundamental morphological properties, in addition to, to keep a direct relationship with the category to which they belong, achieving a balance between the faithful copy and the abstract copy; this in order to maintain the formal properties with potential to be applied in future design projects.

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“…From the conceptual point of view, the development of a reciprocal structure requires: (1) the presence of at least two elements that allow a certain forced interaction to be generated; (2) that each element of the composition must support and be supported by another one; (3) that each and every supported element must come into contact with its support along the span and never at the vertices, in order to avoid the generation of a space grid with pin-joints (Pugnale and Sassone 2014). Figure 1 shows an elementary example of a reciprocal structure that respects such conditions.…”

Section: Reciprocal Systems Based On Elongated Elementsmentioning

confidence: 99%

“…The principle of reciprocity is based on the use of load bearing elements that, supporting one another along their span and never at the extremities, compose a spatial configuration without any clear structural hierarchy (Pugnale and Sassone 2014). Reciprocal systems have mainly been developed with elongated elements.…”

Section: Introductionmentioning

confidence: 99%

Reciprocal Systems Based on Planar Elements: Morphology and Design Explorations

Baverel¹,

Pugnale²

2014

Nexus Netw J

Self Cite

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The concept of transferring forces in a reciprocal way has always been related to the use of timber beams, that is, elongated elements. However, planar components can also be considered; circular tiles, squares, triangles and more articulated or irregular geometrical shapes are all valid alternatives. This report proposes an initial exploration of reciprocal systems based on planar elements in order to guide further morphological studies. It also presents some prototypes, which were developed by the students of the É cole des Ponts in Paris during two design workshops run in 2012 and 2013.

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Structural Reciprocity: Critical Overview and Promising Research/Design Issues

Cited by 32 publications

References 31 publications

Form finding of nexorades using the translations method

Form finding of nexorades using the translations method

Classification, Characterization and Abstraction of Vegetable Surfaces for Design

Reciprocal Systems Based on Planar Elements: Morphology and Design Explorations

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