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A Geometric Modeling Method for Single-Layer Reticulated Shells with Hexagonal Mesh

A hexagonal grid, geometric modeling technology, applied in the direction of architecture, building components, building structures, etc., can solve the single-layer reticulated shell engineering examples without large-scale pentagonal or hexagonal grids, polygonal Mesh stability and in-plane rigidity are poor, single-layer reticulated shells are rarely used in projects, etc., to achieve the effect of convenient production and installation, convenient processing and production, and neat architectural effects

Active Publication Date: 2019-04-26
SHANDONG JIANZHU UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Compared with triangular meshes, the stability and in-plane stiffness of other polygonal meshes are poor, so the single-layer reticulated shell engineering applications of other polygonal meshes are relatively seldom
At present, some single-layer reticulated shells with quadrilateral grids have been built, but there are no engineering examples of large-scale pentagonal or hexagonal single-layer reticulated shells.

Method used

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  • A Geometric Modeling Method for Single-Layer Reticulated Shells with Hexagonal Mesh
  • A Geometric Modeling Method for Single-Layer Reticulated Shells with Hexagonal Mesh
  • A Geometric Modeling Method for Single-Layer Reticulated Shells with Hexagonal Mesh

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Embodiment approach 1

[0020] Picture 9 It is a hexagonal mesh single-layer reticulated shell with a span of 40m, the ratio of the vector height to the span is 1 / 7, and the rod length is 1.5m except for the edge members. Create it according to the following steps (steps (1) ~ (7) respectively) correspond Figure 1~Figure 7 , The solid line in each figure is the line segment that has been created before this step, and the dashed line is the line segment that needs to be created in this step).

[0021] (1) Hexagonal mesh at the center of the reticulated shell vertex: Create a regular hexagon with a side length of 1.5m, the center of which is point O, and there are six axes (OA, OB axis) between the point O and the midpoint of each side Etc.), the geometry of the reticulated shell in each adjacent axis is the same.

[0022] (2) Hexagonal grid plane and partial edges of the second circle of the reticulated shell: a plane is established through each side of the regular hexagon, and each plane is in line wit...

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Abstract

The invention discloses a geometric modeling method of a hexagon mesh single-layer latticed shell. The method comprises the steps that (1) a latticed shell vertex center regular hexagon mesh is established; (2) a second circle of six hexagon meshes are established; (3) an outer circle of hexagon meshes are established in sequence until the needed mesh number is reached; and (4) a plane parallel to the latticed shell vertex center regular hexagon mesh is used for intercepting the meshes, and needed latticed shell geometry is obtained. The established hexagon mesh single-layer latticed shell has the advantages that a whole curve surface formed by latticed shell joint points is smooth and close to a sphere face; the hexagon meshes are all placed in the same plane, and glass or roofs of other materials can be arranged conveniently; all joint points are only connected with three rod pieces, included angles between adjacent rod pieces are approximately the same, and accordingly latticed shell manufacturing and mounting are convenient; and except for latticed shell edge rod pieces, the other rod pieces of the latticed shell are the same in length, building effect is in order, and machining and manufacturing are convenient.

Description

Technical field [0001] The invention patent relates to a geometric modeling method of a hexagonal grid single-layer reticulated shell, and belongs to the field of architectural steel structures. Background technique [0002] As one of the main structural forms of large-span space structures, the single-layer reticulated shell structure has reasonable stress and beautiful architectural shapes, and has been widely used worldwide. The basic unit of the single-layer reticulated shell is a polygonal grid, which mainly includes triangles, quadrilaterals, pentagons, hexagons and other grid forms. Compared with other polygonal meshing forms, the stability and rigidity of the triangular mesh are the most superior. Therefore, most single-layer reticulated shells adopt the triangular mesh form. Compared with triangular meshes, other polygonal meshes have poor stability and in-plane rigidity, so the single-layer reticulated shell engineering applications of other polygonal meshes are relati...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50E04B7/10
Inventor 杨大彬种传超陈杰刘春阳魏强李鹏
Owner SHANDONG JIANZHU UNIV
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