Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Abramczyk, Jacek

doi:10.3390/ma14082051

Cited by 6 publications

(4 citation statements)

References 18 publications

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“…In order to develop the rules governing the formation of several novel complex forms of the shell roofs that are impossible to obtain with the help of the single ruled shells due to the transformation constraints, methods based on spatial plane-walled reference networks are used [3,4]. One of such methods was developed and, next, expanded to utilize in elaborating the special rules defining different types of the complex shell roofs [5]. The considered roofs are derivatives of the basic roof shell structures described in the abovementioned articles.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

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

Abramczyk¹

2021

Materials

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“…A significant modification of Reichhart’s method was made by Abramczyk [ 17 ], who developed an algorithm for modeling the contraction appearing in each folded sheet subjected to torsional or bending-torsional transformation with the help of the lines of striction of various ruled surfaces. Abramczyk and Chrzanowska elaborated a new approach to design several properly correlated directrices to enforce the required shapes of the entire transformed folded sheeting [ 18 ].…”

Section: State Of the Artmentioning

confidence: 99%

Impact of Inclination of Girders and Columns on the Effort and Stability of Flat Bar Frames

Abramczyk,

Chrzanowska,

Bielak

2023

Materials

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The article describes a specific method of using innovative transverse systems of flat bar frames as structures forcing elastic shape transformations of nominally flat folded sheets into the forms of ruled shell roof coverings. An innovative method for parametric shaping these forms and arrangement of frames constituting structural systems of sheds with folded thin-walled roof coverings, taking account of the specificity of designing elastically transformed roof sheeting, was proposed. The proposed method for defining the loads of the considered frames supporting lower shelves of the folds of transformed roof sheeting, as loads distributed uniformly along the length of the upper chord of a roof frame girder, is also an innovative approach. The above unconventional premises result in the innovative topic of the research presented in terms of checking the impact of changing the shape of subsequent flat frames (intended for the construction of sheds roofed with the transformed sheeting) on the geometric and mechanical properties of the members of these frames. For the defined loads and the proposed parameterization of the frame forms, an innovative set of conditions was developed to optimize their performance, and then a theoretical analysis of the observed dependencies was carried out. This analysis was performed in an unconventional, novel way using section modules of the cross-sections of all members. The performed computer simulations confirmed the significance of changes in the inclination of girders and columns on the geometric and mechanical properties of the members. The obtained results are the basis and justification for simulations and tests in the scope of further modification of the form, loads, work, and methods of using various configurations of flat frames in constructions.

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“…However, it must be noted that all the variety of freeform structures is difficult to classify according to one of the approaches, since the principles of two or more approaches can be used during the design process. For example, thin-walled corrugated shells, described in [25,26], require use of all three approaches: geometric-the structures are mathematically described ruled surfaces, biomimetic-the laws governed by mechanical properties of folded orthotropic sheets-mechanical restrictions, and formfinding-optimization of the resultant shell shapes, the location of the sheet's contraction line, and the appearing pre-stresses resulting from the initial elastic shape transformations.…”

Section: What Are Freeform Structures?mentioning

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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Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs

Cited by 6 publications

References 18 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

Impact of Inclination of Girders and Columns on the Effort and Stability of Flat Bar Frames

Fiber-Reinforced Polymers in Freeform Structures: A Review

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