Bracing rhombic structure by one-dimensional tensegrities

Kem, Gyula Nagy

doi:10.1007/s11012-016-0477-0

Cited by 6 publications

(5 citation statements)

References 22 publications

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“…Például körlapok normálisátés középpontját rögzítve a térben, majd ezek kiválasztott pontjait csuklókkal rudak közbeiktatásával egymáshoz rögzítve analóg feladatot kapunk. Szintén nem tárgyalt kérdés, ha a keresztkapcsolatokat létesítő rudak helyett, vagy mellett köteleket, illetve támaszokat is megengedünk, mint lehetséges kényszereket [18], azaz kiterjeszthető-e Recskiés Shai [23] eredménye azáltalunk vizsgált szál szerkezetekre. Sejthetően igen, hiszen mindkét esetben egydimenziós mozgásokat vizsgálunk.…”

Section: Kapcsolat a Mechanizmusokkalés A Tensegrity Szerkezetekkelunclassified

Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Nagy¹

2019

AML

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Section: Kapcsolat a Mechanizmusokkalés A Tensegrity Szerkezetekkelunclassified

Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Nagy¹

2019

AML

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“…We thank Eliana Duarte for pointing out this statement to us and sharing some hints about a possible proof [7]. Nagy Kem [18] translates the infinitesimal rigidity of a braced rhombic carpet to the rigidity of an auxiliary framework which in turn corresponds to the connectivity of the bracing graph.…”

Section: Introductionmentioning

confidence: 99%

Bracing frameworks consisting of parallelograms

Grasegger

Legerský

2022

Art Discrete Appl. Math.

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A rectangle in the plane can be continuously deformed preserving its edge lengths, but adding a diagonal brace prevents such a deformation. Bolker and Crapo characterized combinatorially which choices of braces make a grid of squares infinitesimally rigid using a bracing graph: a bipartite graph whose vertices are the columns and rows of the grid, and a row and column are adjacent if and only if they meet at a braced square. Duarte and Francis generalized the notion of the bracing graph to rhombic carpets, proved that the connectivity of the bracing graph implies rigidity and stated the other implication without proof. Nagy Kem gives the equivalence in the infinitesimal setting. We consider continuous deformations of braced frameworks consisting of a graph from a more general class and its placement in the plane such that every 4-cycle forms a parallelogram. We show that rigidity of such a braced framework is equivalent to the non-existence of a special edge coloring, which is in turn equivalent to the corresponding bracing graph being connected.

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“…Similarly, the theoretic result of Maxwell [18] for the frameworks that consist of ideal bars and joints presents a necessary and sufficient assumption for the rigidity of the arbitrary framework. For periodical structures in the 3-dimensional space was given a better characterization by Bolker and Crapo's one story building and in the case n-story building of Radics, and the annex building of Nagy [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Numerous methods were published for the stability of periodic frameworks as bracing, shear walls, cores, or actuators [5,[33][34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Create a Rigid and Safe Grid-Like Structure

Kovács¹,

Kem²

2019

Period. Polytech. Civil Eng.

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The failure of the building is not the consequence of the not strong enough elements of the structure in the majority of the cases, but the bracing elements inappropriate places. We consider a 4 × 4 and 4 × 5 braced frames to understand the connections between the lateral stiffnesses, and bracing graph to achieve the stiffest and the more safety design. In our consideration, we study those relationships that based on our frame using their finite element analyses and some new result in optimizations of structural design.We offer some conclusions, including perspectives and future developments in the rigidity of scaffolds and tall building as symmetrical and grid-like bar-joint frameworks. Keywordsbraced scaffolding, n-story building, the safety of the structure, kinematics of braced structure

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Bracing rhombic structure by one-dimensional tensegrities

Cited by 6 publications

References 22 publications

Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Összekapcsolt, axiális irányban mozgó szál hálózatok merevségének jellemzése gráfokkal

Bracing frameworks consisting of parallelograms

Create a Rigid and Safe Grid-Like Structure

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