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A method for extending the geometric configuration of mutual supporting structures for regular polygons

A technology of regular polygons and configurations, which is applied in the field of civil engineering, can solve problems such as complex algorithms, poor applicability of regular polygons to expand mutual bearing structures, and many variables to be calculated, so as to achieve simple solution principles, easy programming and calculation of variables little effect

Active Publication Date: 2019-11-29
黑龙江省工研院资产经营管理有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] In order to solve the problem that in the existing research methods at present, the algorithm is relatively complicated, there are many variables involved in the calculation, and the applicability of the regular polygon extended mutual support structure is not strong, and then a geometrical method for the regular polygon extended mutual support structure is proposed. configuration method

Method used

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  • A method for extending the geometric configuration of mutual supporting structures for regular polygons
  • A method for extending the geometric configuration of mutual supporting structures for regular polygons
  • A method for extending the geometric configuration of mutual supporting structures for regular polygons

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specific Embodiment approach 1

[0009] Specific implementation mode one: combine figure 1 To illustrate this embodiment, a method for expanding the geometric configuration of mutual support structures for regular polygons described in this embodiment is realized through the following steps:

[0010] Step 1. Split the target structure: split the target component into a central regular polygon mutual support structure and a unit or a single component added to the structure;

[0011] Step 2: Use the rotation configuration method to add a single component or unit, so as to complete the geometric configuration of the regular polygonal extended mutual support structure.

[0012] Calculation formula of geometric configuration of regular polygon mutual bearing structure:

[0013] For the i-th component:

[0014]

[0015]

[0016]

[0017]

[0018]

[0019] z i2 =0

[0020] in:

[0021]

[0022] x 1 =x i1 -x i2

[0023] x 2 =x j1 -x j2

[0024] Y 1 =y i1 -y i2

[0025] Y 2 =y j1 -...

specific Embodiment approach 2

[0029] Specific implementation mode two: combination image 3 To illustrate this embodiment, the steps of a method for expanding the geometric configuration of mutual support structures for regular polygons described in this embodiment are:

[0030] Step 1. Split the target structure: split the target component into a central regular polygon mutual support structure and a unit or a single component added to the structure;

[0031] Step 2: Use the rotation configuration method to add a single component or unit, so as to complete the geometric configuration of the regular polygonal extended mutual support structure.

[0032] The rotation configuration method described in step 2 is based on the regular polygon mutual support structure as the basic unit, according to the overlapping geometric relationship of the construction of the mutual support structure, using the spatial coordinate rotation method, adding the basic unit or component to the central regular polygon mutual suppor...

specific Embodiment approach 3

[0035] Specific implementation mode three: combination figure 2 Describe this embodiment, a method for expanding the geometric configuration of mutual support structures for regular polygons described in this embodiment, is characterized in that: during the rotation process, the single member and the added unit added in category A and category B, within a certain Within the rotation angle of , the difference Δd between the distance between the axes of the components and the sum of the radii of the two components to be overlapped and the rotation angle ∠θ change monotonously, and the variation relationship is shown in Figure 4 , so the adding process of the whole unit or component is the process of finding a suitable rotation angle ∠θ so that the difference Δd between the axis distance between components and the sum of the radii of the two components to be overlapped is 0. And when Δd is 0, the positional relationship of the corresponding two components in space is exactly ta...

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Abstract

The invention relates to a configuration method and particularly relates to a geometric configuration method aiming at a regular polygon expanded mutual support structure. According to the geometric configuration method, the problems that algorithms are relatively complex, related calculation variables are more, and the applicability of the regular polygon expanded mutual support structure is poor in the existing research methods are solved. The geometric configuration method comprises the following steps: (1) splitting a target structure: splitting a target component into a central regular polygon expanded mutual support structure and a single unit or component added to the structure; and (2) adding the single component or unit by virtue of a rotary configuration method, so as to finish the geometric configuration of the regular polygon expanded mutual support structure. The geometric configuration method belongs to the field of civil engineering.

Description

technical field [0001] The invention relates to a configuration method, in particular to a method for expanding the geometric configuration of mutual supporting structures for regular polygons, and belongs to the field of civil engineering. Background technique [0002] Mutual support structure is a space structure formed by overlapping components. Each of its components supports the endpoints of other components within its own span, while its own endpoints overlap the spans of other components, forming a rhythmic spatial grid structure. Its spatial grid forms are diverse and the curved surface form is novel, so it is also favored by architects at home and abroad, and is used in various buildings and architectural sketches. The mutual support structure adopts the joint form of overlapping members. Although the joint structure is simplified, it also brings difficulty in positioning the members in space. The change of the position of a single component will cause the change ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/17
Inventor 武岳乔刚李清朋
Owner 黑龙江省工研院资产经营管理有限公司
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