Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Yee, Hooi Min; Hamid, Haslinda Abdul; Hadi, Mohd Nasir Abdul

doi:10.4028/www.scientific.net/amm.754-755.743

Cited by 11 publications

(7 citation statements)

References 3 publications

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“…As the minimal base surface, already known surfaces can be used, such as an Enneper surface or new kinds of free form surfaces. The Enneper surface is mostly investigated as a form for tensioned fabric structures [37]. A lot of works analyze geometric properties of Enneper surfaces, but little is known of the application of these surfaces in the building industry.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

Dzwierzynska

Labuda

2021

Materials

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The article deals with shaping effective curvilinear steel rod roof structures using genetic algorithms by implementing them for the analysis of various case studies in order to find new and efficient structures with positive characteristics. The structures considered in this article are created on the basis of the Enneper surface and minimal surfaces stretched on four arcs. On the Enneper surface, a single layer grid is used, while on the other surfaces, two-layer ones. The Enneper form structure with four supports and the division into an even number of parts along the perimeter of the covered place proved to be the most efficient, and the research showed that small modifications of the initial base surface in order to adapt the structure to the roof function did not significantly affect its effectiveness. However, the analysis and comparison of single and double-shell rod structures based on minimal surfaces stretched on four arcs have shown that a single-shell structure is much more effective than a double one. The paper considers the theoretical aspects of shaping effective structures, taking their masses as the optimization criterion. The optimization helped to choose the best solutions due to structures’ shapes and topologies. However, the obtained, optimized results can find practical applications after conducting physical tests.

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Section: Introductionmentioning

confidence: 99%

Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

Dzwierzynska

Labuda

2021

Materials

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“…Other forms of minimal surfaces such as Oval and Egg shape have been considered by [6], [7] and Moebius Strip by [8]- [10]. The form-finding of Enneper is taken another look by [11], [12] while other minimal surfaces such as Chen-Gackstatter, Monkey Saddle, Handkerchief, Bour and Thomsen have been studied by [13]- [18]. However, the study on half-Costa in YZ plane with different geometry as TMS form have not been done up till now.…”

Section: Introductionmentioning

confidence: 99%

Environmentally Sustainable Tensioned Fabric Structure in the Form of Half-Costa YZ-Plane

Azlan¹,

Min²,

Malek³

2020

IJESD

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Form-finding analysis is carried out and presented for half-Costa tensioned membrane structure model in YZ-plane. There are three models presented, each with different center part of the half-Costa boundaries. Nonlinear analysis method is adopted for the form-finding analysis. Half-Costa tensioned membrane models in YZ-plane with different geometry have been found in a good agreement with least square error of total warp and fill stress deviation. Results obtained from this study would become a reference to select suitable parameters to increase the performance of sustainable tensioned membrane structure in the form of half-Costa in YZ-plane respected to their boundary condition. These resource efficient structures have the ability to prevent further damage to the environment hence these models presented are good selective forms for design engineer and architect to ponder on.

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“…[3] adds that TMS has minimal site interruptions since it is fabricated in factories and has lower maintenance in comparison to glass. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] have studied form-finding in TMS in the surface of Catenoid, Helicoid, Enneper, Moebius Strip, Costa, half-Costa in XZ and YZ plane, Oval, Egg, Chen-Gackstatter, Monkey Saddle, Handkerchief, Bour's and Thomsen. However, half-Costa in YZ plane with different geometry have not studied yet.…”

Section: Introductionmentioning

confidence: 99%

Membrane Structures with Half-Costa Surface in YZ-Plane

Yee

Afiqah

2020

MSF

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This paper presents the computational form-finding analysis of half-Costa tensioned membrane structure model in YZ-plane with different boundaries. The computational form-finding analysis is carried out based on nonlinear analysis method. The tensioned membrane structure in the form of half-Costa models in YZ-plane with different geometry have been found to converge with least square error of total warp and fill stress deviation. The outcome of this paper can serve as a reference in selecting satisfactory parameters to allow the performance increase of tensioned membrane structure in the form of half-Costa in YZ-plane respected to their boundary condition. These models will be selective forms of tensioned membrane structure for design engineers and architect to ponder on as it is a resource efficient structure hence preventing further damage to the environment.

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Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Cited by 11 publications

References 3 publications

Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

Environmentally Sustainable Tensioned Fabric Structure in the Form of Half-Costa YZ-Plane

Membrane Structures with Half-Costa Surface in YZ-Plane

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