Transformed Corrugated Shell Units Used as a Material Determining Unconventional Forms of Complex Building Structures

Abramczyk, Jacek

doi:10.3390/ma14092402

Cited by 4 publications

(7 citation statements)

References 15 publications

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“…In order to obtain the tetrahedron Γ 12 its four vertices W AB12 , W CD12 , W AD12 and W BC12 must be defined [3,29]. The vertex W AB12 = W CD12 .…”

Section: Figurementioning

confidence: 99%

Transformed Shell Structures Determined by Regular Networks as a Complex Material for Roofing

Abramczyk¹

2021

Materials

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The article presents a comprehensive extension of the proprietary basic method for shaping innovative systems of corrugated shell roof structures by means of a specific complex material that comprises regular transformable shell units limited by spatial quadrangles. The units are made up of nominally plane folded sheets transformed into shell shapes. The similar shell units are regularly and effectively arranged in the three-dimensional space in an orderly manner with a universal regular reference surface, polyhedral network, and polygonal network. The extended method leads to the increase in the variety of the designed complex shell roof forms and plane-walled elevation forms of buildings. For this purpose, the rules governing the creation of the continuous roof shell structures of many shells arranged in different unconventional visually attractive patterns and their discontinuous regular modifications are sought. To obtain several novel groups of similar unconventional parametric roof forms, single division coefficients and double division coefficients are used. The easy and intuitive modifications of the positions of the vertices belonging to the polygonal network on the side edges of the polyhedral network accomplished by means of a parametric algorithm allow one to adjust the geometry of the complete shell units to the geometric and material constraints related to the orthotropic properties of the transformed sheeting by means of these coefficients. The innovative approach to the shaping of the diverse unconventional roof structures requires the solving of many interdisciplinary problems in the field of mathematics, civil engineering, construction, morphology, architecture, mechanics, computer visualization, and programming.

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“…In order to obtain the tetrahedron Γ 12 its four vertices W AB12 , W CD12 , W AD12 and W BC12 must be defined [3,29]. The vertex W AB12 = W CD12 .…”

Section: Figurementioning

confidence: 99%

Transformed Shell Structures Determined by Regular Networks as a Complex Material for Roofing

Abramczyk¹

2021

Materials

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“…Source: own study When carrying out an analysis related to the geometric and mechanical properties of the plane corrugated sheeting transformed elastically into different roof shells, it is necessary to take into account the values of the initial bending, twisting, displacements, deformations, stresses, and strains diversified for all subsequent folds of all transformed sheeting [6]- [7]. The geometric and mechanical limitations of the sheets require composing multiple complete transformed shell sheeting units into a single edge structure to obtain medium-and large-spanned roofs [8].…”

Section: Introductionmentioning

confidence: 99%

“…The expected straightness of the longitudinal axes of all transformed shell folds and the longitudinal borders of all complete sheets, along with the whole shell sheeting after transforming, are other basic limitations in the use of the flat folded sheets. The developed models of the designed transformed shell units should be shaped in the form of various ruled surface sectors limited by spatial quadrangles with rectangular or similar corners [1], [8]. The more the corner angles differ from right angles, the greater the oblique cuts of the transverse edges of the transformed sheeting, passing parallel to the roof directrices supporting the sheeting.…”

Section: Introductionmentioning

confidence: 99%

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Unconventional building forms roofed with innovative structures arranged on regular surfaces with the negative Gaussian curvature

Abramczyk,

Chrzanowska

2023

Bud-Arch

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A novel method for shaping innovative building forms, roofed with diversified complex continuous and discontinuous folded structures composed of many transformed corrugated shell units, is presented in the paper. The units are defined on the basis of specific reference polyhedral networks and arranged on arbitrary reference surfaces characterized by the negative Gaussian curvature. The method is presented using several computer models of complex building structures with folded plane-walled elevations. The proposed method significantly supplements the previous method developed for modelling building free forms, roofed with shell structures arranged in conformity with surfaces having the positive Gaussian curvature. Some basic rules using parameterization and governing the creation of the multi-plane elevations, ribbed continuous and discontinuous roof shell structures, arranged in different unconventional and visually attractive patterns, were developed. The elaborated specific sets of division coefficients are taken as parameters for the designed building structures. These sets determine unconventional polyhedral networks, which are composed of several specific sets that allow to define a polygonal eaves network, a reference surface and, finally, individual shell units of the roof structures. The developed method is presented using the example of three novel forms defined by means of the appropriately selected diversified sets of values of the division coefficients. The elaborated new forms confirm the innovative nature of the achieved results. By imposing appropriate proportions between the values of these division coefficients, the developed method enables the creation of two different groups continuous and discontinuous complex shell roof structures.

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“…Structural morphology is defined by Wester as "the Study of Form" [18]. Abramczyk reveals the concept of morphology as "a study of the forms taking account of the adopted interrelationships between the function, structure, internal and external texture, static-strength work and comfort conditions ascribed to the designed building object" [20]. A detailed theoretical framework for structural morphology is given by Li in [4].…”

Section: Introductionmentioning

confidence: 99%

Fiber-Reinforced Polymers in Freeform Structures: A Review

2021

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This article is a survey discussing the application of fiber-reinforced polymer composites in freeform structures and their impact on the design and shape generation process. The analysis of case studies showed that the use of FRP composites not only helps to overcome some challenges in the construction of objects with complex geometry, but also creates brand new types of structures and design approaches. On the other hand, there is a problem—although FRP materials are frequently used in construction, the shapes of structures and design methods are often traditional and are simply copied from materials such as wood, concrete, and steel. FRP composites have been applied in civil engineering for several decades, since the 1960s, as building envelopes, façade skins, load-bearing structures, and internal and external reinforcement. The article aims to analyze this accumulated experience and to explore the role of FRP materials in the design of buildings with free, complex, fluid, and organic shapes. A new classification of freeform composite structures is proposed. They are classified in this article according to the methodology applied at the conceptual design stage: structures created by using a geometric approach, a form-finding (equilibrium) approach, or a biomimetic approach. Each approach is described in its own separate section, with a thorough literature and state-of-the-art review.

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Transformed Corrugated Shell Units Used as a Material Determining Unconventional Forms of Complex Building Structures

Cited by 4 publications

References 15 publications

Transformed Shell Structures Determined by Regular Networks as a Complex Material for Roofing

Transformed Shell Structures Determined by Regular Networks as a Complex Material for Roofing

Unconventional building forms roofed with innovative structures arranged on regular surfaces with the negative Gaussian curvature

Fiber-Reinforced Polymers in Freeform Structures: A Review

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