Geometric configuration method aiming at regular polygon expanded mutual support structure
A technology of regular polygons and configurations, applied in the field of civil engineering, can solve the problems of poor applicability, complex algorithms, and many calculation variables of regular polygons to expand mutual bearing structures, and achieve easy programming, simple solution principles, and calculation variables little effect
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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 △d between the distance between the axes of the components and the sum of the radii of the two components that need to be overlapped and the rotation angle ∠θ change monotonously. See 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 distance △d between the axes of the two components to be overlapped is 0. And when △d is 0, the position relationship of the corresponding two components in space is exactly tangent, that is, the two components are in an overlapping relationship. Utilizing the ...
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