Design and Fabrication of Free-Form Reciprocal Structures

Parigi, Dario; Kirkegaard, Poul Henning

doi:10.1007/s00004-014-0177-9

Cited by 16 publications

(6 citation statements)

References 3 publications

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“…A reciprocal structure, also called mutually supporting structure or nexorade, 1 is a 2D or 3D structure formed by the repetition of one or multiple moduli, according to three basic rules, 2 illustrated in Figure 3:…”

Section: Introductionmentioning

confidence: 99%

Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

Latteur

Geno

Vandamme³

2021

International Journal of Space Structures

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Building with raw timber allows to reduce the price of construction and to make it more competitive with respect to concrete or steel construction. For a few years now, the combination of parametric design and robotic tools make possible the fast and precise milling of timber logs for their accurate connection. However, the spans are quickly limited by the logs length. In this context, reciprocal structures are relevant, since they allow to build large spans structures with short beams. Finally, the architectural interest of reciprocal structures is not to prove. However, the choice of the most efficient reciprocal frame, as well as its structural relevance in terms of mass and stiffness is, most of the time, ruled by subjective considerations. This paper focuses on rectangular floors composed of reciprocal moduli and has three objectives: (1) to develop a general mass and stiffness optimization method for reciprocal floors, which is not only necessary to limit the price, but also to reduce their thickness, (2) to define design rules for reciprocal floors, in particular for the choice of the best engagement ratio, and (3) to compare the structural efficiency of reciprocal floors with the one of “traditional” floors with parallel logs. Coming from a dimensionless transformation of the equilibrium equations, the results of this article will thus give the designers keys to better design reciprocal structures, evaluate their structural performances and relevance, and justify their choices.

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Section: Introductionmentioning

confidence: 99%

Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

Latteur

Geno

Vandamme³

2021

International Journal of Space Structures

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“…Baverel proposed a form generation method based on a genetic algorithm (Marano, Quaranta, & Monti, ; Sgambi, Gkoumas, & Bontempi, ) for complex RGS system, which modifies the node coordinates to fit target geometry (Baverel & Nooshin, ). Parigi proposed a hybrid optimization method for form generation of RGS (Parigi & Kirkegaard, ), which uses genetic algorithm to detect the qualified topology of the entire design space, and then gradient‐based algorithm (Plevris & Papadrakakis, ) to converge quickly.…”

Section: Introductionmentioning

confidence: 99%

Self‐adaptive form generation method for reciprocal grid structures

Qiao³

et al. 2018

Computer aided Civil Eng

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Reciprocal grid structure is a structural system consisting of mutually supporting bars.Its geometry should satisfy not only the demands of architectural intents but also the requirements of the lapping relationship of the bars. Thus, form generation is the key problem in its design. Inspired by the physical building process of a reciprocal grid structure, self-adaptive form generation method is proposed. In this method, an initial plane grid with the topology of required structural configuration is created first. Next, elements are iteratively lapped to realize a self-adaptive generation of structural form. Two new parameters, bar lapping factor and rotation angle, are proposed to describe reciprocal grid structures quantitatively and make the form generation process easy. The efficiency and accuracy of the method are illustrated by comparisons with other form generation methods. Numerical examples demonstrate the applicability of the proposed method in the complex and realistic reciprocal grid structures.

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“…This is a consequence of the non-hierarchical nature of reciprocal assemblies: the position of each and every element determines, and is at the same time determined not only by the position of the elements immediately adjacent, but also by the position of all the entire set of elements in the assembly. The geometry of a network of reciprocallyconnected elements can therefore be understood as a characteristic that emerges from the complex interaction between the elements' shape, topology and position (Parigi and Kirkegaard 2014b).…”

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confidence: 99%

“…A recent computational tool developed by Dario Parigi Kirkegaard 2013, 2014a) and called 'Reciprocalizer' is used to generate both regular configurations such as Leonardo's structure shown in Fig. 2, as well as reciprocal configurations that adapt to virtually any possible free-form geometry (Parigi and Kirkegaard 2014b) by controlling and adjusting the following three parameters at each joint between two elements b i and b j :…”

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confidence: 99%

Three-Dimensionality in Reciprocal Structures: Concepts and Generative Rules

Parigi

Pugnale

2014

Nexus Netw J

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Reciprocal systems based on superimposition joints, i.e. where un-notched bars sits on the top or in the bottom of each other, could be regarded as being intrinsically three-dimensional because of their natural out-of plane development. This paper presents seven of these three-dimensional configurations, conceived and built by the students of the Master of Science in ''Architectural Design'' at Aalborg University. They have been developed as an integral part of a 2-week workshop, organized and run by the authors during the fall semester 2011. Since physical models are instruments that trigger the exploration of new typologies because of the direct interaction they provide with the designer the students were called to deal with the issue of three-dimensionality in reciprocal systems through scale models and actual scale prototypes.

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Design and Fabrication of Free-Form Reciprocal Structures

Cited by 16 publications

References 3 publications

Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

Self‐adaptive form generation method for reciprocal grid structures

Three-Dimensionality in Reciprocal Structures: Concepts and Generative Rules

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