A novel planar scissor structure transforming between concave and convex configurations

Yar, Müjde; Korkmaz, Koray; Kiper, Gökhan; Maden, Feray; Akgün, Yenal; Aktaş, Engin

doi:10.2495/cmem-v5-n4-442-450

Cited by 8 publications

(11 citation statements)

References 5 publications

(7 reference statements)

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“…(Table 5). Just like the vertical kite loop assemblies the assemblies obtained from TI patterns with X-type connections go through a transformable motion as noted by Yar et al (2017) and the TG pattern of a vertical dart loop results in a linkage with scaling deployment. To the best knowledge of the authors, the scaling linkages obtained from TG patterns of vertical dart loops are not noted in the literature before.…”

Section: Loop Assembliesmentioning

confidence: 96%

“…Such transformable assemblies are issued by Yar et al (2017). A special case is obtained when the pattern is constructed on a circular arc, in which case the linkage has angular deployable motion (Table 3).…”

Section: Loop Assembliesmentioning

confidence: 99%

“…Bai et al (2014) assembled rhombus, parallelogram, kite and general quadrilateral loops for polygon scaling, where they discuss different ways to assemble these loops as well Yar et al (2017). used kite and dart loops andGür et al (2017; used anti-parallelogram loops to obtain planar linkages comprising SLEs, some of which are deployable, whereas some are transformable.Two main methods to design scissor structures are: 1) assembling scissor units composed of two ternary links, and 2) assembling 4-bar loops.…”

mentioning

confidence: 99%

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Loop Based Design and Classification of Planar Scissor Linkages

Kiper

Korkmaz

Gür

et al. 2020

Preprint

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Scissor linkages have been used for several applications since ancient Greeks and Romans. In addition to simple scissor linkages with straight rods, linkages with angulated elements were introduced in the last decades. In the related literature, two methods seem to be used to design scissor linkages, one of which is based on scissor elements, and the other is based on assembling loops. This study presents a systematic classification of scissor linkages as assemblies of rhombus, kite, dart, parallelogram and anti-parallelogram loops using frieze patterns and long-short diagonal connections. After the loops are multiplied along a curve as a pattern, the linkages are obtained by selection of proper common link sections for adjacent loops. The resulting linkages are analyzed for their motion and they are classified as realizing scaling deployable, angular deployable or transformable motion. Some of the linkages obtained are novel. Totally 10 scalable deployable, 1 angular deployable and 8 transformable scissor linkages are listed. Designers in architecture and engineering can use this list of linkages as a library of scissor linkage topologies.

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Section: Loop Assembliesmentioning

confidence: 96%

Section: Loop Assembliesmentioning

confidence: 99%

mentioning

confidence: 99%

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Loop Based Design and Classification of Planar Scissor Linkages

Kiper

Korkmaz

Gür

et al. 2020

Preprint

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“…Later, Bai et al [22] focus on the connection alternatives of several types of loops, however there is no systematic approach for deriving the loop patterns. Yar et al [23] experiment with arrays of similar and different kite loops but do not investigate possible loop patterns. In order to generate possible loop assemblies, symmetry operations are used in this study.…”

Section: Frieze Patternsmentioning

confidence: 99%

Design of Anti-Parallelogram Loop Assemblies

Gür¹,

Korkmaz²,

Kiper³

2019

Journal of the International Association for Shell and Spatial

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Scissor mechanisms are frequently used for deployable structures and many studies have been conducted on the subject. Most of the studies consider scissor units as modules in the design process. An alternative approach is to utilize loops as the modules for design. In this paper, the design alternatives of single degree-of-freedom planar linkages comprising anti-parallelogram loops using the loop assembly method is presented. First, scissor mechanisms are reviewed. Next, the types of four-bar loops and the resulting linkages in the literature are introduced and those which are yet to be explored, anti-parallelogram being one of them, are identified. Then the loop assembly method and the examples in the literature are reviewed. As a method to form as many alternatives as possible, symmetry operations are proposed. Suitable frieze symmetry groups utilized for obtaining the assemblies are explained and the anti-parallelogram loop patterns are derived. Next, the single degree-of-freedom linkages are obtained from the loop assemblies. Finally, a selection of the resulting linkages with novel properties are presented. This study shows that loop assemblies are efficient in systematic type synthesis of scissor linkages, some types of which could not be foreseen by using units as modules.

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“…Liao and Li [14], Kiper and Söylemez [12] also made use of rhombi for scaling planar graphs and polygons. Yar et al [19] used kite and dart loops and Gür et al [5] used antiparallelogram loops to obtain planar linkages comprising SLEs.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Scalable Planar Scissor Linkages with Anti-parallelogram Loops

et al. 2018

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Scissor linkages are commonly used as mechanisms for scaling objects. They constitute a significant portion of deployable structures. Since 1960s many researchers sought to form novel structures using the scissor units. In 1990s Hoberman brought a new perspective to the field when he used the loops, not the units to form linkages. Starting from mid 2000s, other researchers joined into this new approach of design. One of the latest researches presented a design for scaling a circular forms with antiparallelogram loops. This study shows that an anti-parallelogram loop assembly can also be used for scaling planar curves with variable curvature.

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A novel planar scissor structure transforming between concave and convex configurations

Cited by 8 publications

References 5 publications

Loop Based Design and Classification of Planar Scissor Linkages

Loop Based Design and Classification of Planar Scissor Linkages

Design of Anti-Parallelogram Loop Assemblies

Synthesis of Scalable Planar Scissor Linkages with Anti-parallelogram Loops

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