A Novel Transformable Structural Mechanism for Doubly Ruled Hypar Surfaces

Maden, Feray; Aktaş, Engin; Korkmaz, Koray

doi:10.1115/1.4029231

Cited by 8 publications

(3 citation statements)

References 12 publications

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“…This equation allows designers to adjust the parameters (x, y, a, and b) for getting a desirable shape, size, slope and other form variations of the hypar. The 'ruled surface generation' method is also an easy alternative method for modeling a hypar (Maden et al 2015). In this method, two main parameters l (directrix) and β (a measure of curvature) generate the width (b) and the height (h) of a hypar using the following relations:…”

Section: Background and Problem Statementmentioning

confidence: 99%

Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure

Rian

2018

Nexus Netw J

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The concept of Takagi-Landsberg's fractal surface is applied in this paper for constructing a parametric model of a hyperbolic paraboloid (hypar) shell structure using the Midpoint Displacement Method (MDM) based on the Iterated Function System (IFS) and controlled by the relative size value (w), a factor of fractal dimension. This method of generating a parametric model of a hypar is applied to create a domain of non-integer dimensions through which the hypar surface passes through textural changes, thus transforming the smooth hypar surface from its two-dimensional shape to a higher but non-integer-dimensional irregular surface that results in the changes of structural behavior. This paper briefly compares the structural behavior between the regular hypar and the fractal-based irregular hypar, and also searches the optimal shape of the hypar in terms of minimum deformation from the collection of its regular version and its different levels of irregular versions.

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Section: Background and Problem Statementmentioning

confidence: 99%

Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure

Rian

2018

Nexus Netw J

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“…Increased configurations variability is enabled through increase of the DOF of the mechanism, i.e., additional application of simple angulated elements (Hoberman, 1993;You and Pellegrino, 1997), scissor-hinge mechanisms (Akgün et al, 2010;Akgün et al, 2011), and universal scissor components (Alegria Mira et al, 2015). Likewise, the development of double scissor-pair transformable structures and hyperbolic paraboloids, based on 2-DOF mechanisms, aims at obtaining a variety of possible non-uniform shapes (Rosenberg and Thesis, 2009;Maden et al, 2015). Origami structures of rigid plates form a combination of corresponding linkages, since folding concentrates in the hinge-like creases that include the actuation mechanism (Chen et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

New perspectives in architecture through transformable structures: A simulation study

Matheou

Phocas²,

Christoforou³

et al. 2023

Front. Built Environ.

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Structures enabling transformability of buildings, components and materials at different levels gain significance in view of a sustainable built environment. Such structures are capable of obtaining different shapes in response to varying functional, environmental or loading conditions. Certain limitations of classic tensegrity and scissor-like structures, applied so far in an architectural and engineering context, are attributed to a limited number of possible configurations and a big number of actuators required. In this context, rigid-bar linkages offer a promising alternative with regard to constructability, modularity, transformability and control components integration. In achieving improved flexibility and controllability with a reduced number of actuation devices, a kinematics principle has been previously proposed by the authors that involves the reduction of the system to an externally controlled one degree-of-freedom mechanism in a multistep transformation process. The paper presents application of the kinematics principle in two classes of a transformable spatial rigid-bar linkage structure. Investigation of the system kinematics was conducted using parametric associative design. The kinematics principle is applied on a torus-shaped spatial structural system composed of planar interconnected linkages. Alternative motion sequences of multiple transformation steps by the planar linkages can be implemented for the stepwise adjustment of the joints to their desired values. The actuators employed are positioned at the ground supports and are detached from the main structural body. Thus, minimum structural self-weight, simplicity and reduced energy consumption become possible. The transformation approaches using parametric associative design are exemplified based on a selected motion sequence pattern. The case study demonstrates the high degree of control flexibility and transformability of the system.

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“…For small-size elements such as portable tents or (in a completely different field of application) space antennas [11], also foldable tensegrity structures have been analysed and constructed [12]. Other interesting mechanisms that can support membranes are the modular Bennett-like mechanism [13][14][15] and the cable-stiffened voussoirs [16]. Other studies have regarded optic [17] and space [18] applications, but for these the boundary and load conditions are generally different from those associated with architectural applications.…”

Section: Introductionmentioning

confidence: 99%

Large transformations with moderate strains of tensile membrane structures

Beatini

Royer-Carfagni

2016

Mathematics and Mechanics of Solids

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Using a classical non-linear theory, we analytically investigate possible ways for transforming the shape of a curved elastic membrane while keeping it tensioned and moderately strained. This is a critical issue because, as a rule, membranes must be considerably stretched in order to avoid wrinkling and slackening. If the final configuration is fixed, the membrane can be cut and formed according to the final shape, but this cannot be done if more configurations, considerably distant from one another, have to be achieved. Nevertheless, we propose large transformation movements that can be obtained starting from flat membranes while maintaining their strain as limited. We discuss in detail the paradigmatic example of the hyperbolic-paraboloid-shaped membrane. These opportunities are suitable for applications of transformable architecture because they do not require excessive tensioning, compatible with the strength of materials used for this kind of structures.

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A Novel Transformable Structural Mechanism for Doubly Ruled Hypar Surfaces

Cited by 8 publications

References 12 publications

Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure

Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure

New perspectives in architecture through transformable structures: A simulation study

Large transformations with moderate strains of tensile membrane structures

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