Model elementary flexor

E - Fixed Constructions – 04 – B

Patent

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E04B 1/344 (2006.01)

Patent

CA 2594996

The model elementary flexor is a polyhedral panel represented by a four-angle star-like pyramid which is formed by thin elastic three-angle faces with hinge junctions. It has two symmetry planes which intersect the petals of flexor. An essential geometric property of the flexor is following: when the middle polyhedron is projected into the plane of the boundary, then each face is mapped to a triangle whose doubled intrinsic and extrinsic angles adjacent to the boundary are equal to .tau.r/2-.alpha. .tau.a .pi./2+.alpha. respectively, where .alpha. is the third angle of the three-angle and it belongs to the interval (0, .tau.r/2). As consequence, the presented device is more general than its prototype, the right star-like pyramid "Model ideal flexor", disclosed in UA Patent No. 54692. The invented device belongs to various areas of technique and industry where polyhedral shells with freely changed geometric forms are applied: architecture, aircraft construction, shipbuilding and precise instrument-making.

L~invention concerne un flexeur élémentaire modèle constitué d~un panneau polyèdre représenté par une pyramide en étoile à quatre angles, formée par des faces élastiques fines triangulaires avec des jonctions à charnière. Il possède deux plans de symétrie qui coupent les pétales de flexeur. Une propriété géométrique essentielle du flexeur est la suivante : lorsque le polyèdre médian est projeté sur le plan de la zone interface, alors chaque face est transformée en triangle dont les angles intrinsèques et extrinsèques doublés adjacents à la zone interface sont égaux à .tau.r/2-.alpha. .tau.a .pi./2+.alpha. respectivement, où .alpha. est le troisième angle du triangle et il appartient à l~intervalle (0, .tau.r/2). En conséquence, le dispositif présenté est plus général que son prototype, la pyramide en étoile de droite "Flexeur idéal modèle", divulgué dans le brevet UA No. 54692. Le dispositif de l~invention appartient à divers domaines de la technique et de l~industrie dans lesquels les coquilles polyèdres avec formes géométriques changées librement sont appliquées : architecture, construction aéronautique, construction navale et fabrication précise d~instruments.

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