A foldable arch structure based on Miura origami technology

Abstract

The present invention discloses a foldable arch structure based on Miura origami technology, which is composed of m rows and n columns of Miura origami units, where m is an even number; the n Miura origami units in each row are connected end to end to form a total of m stacked Miura origami units; two adjacent stacked Miura origami units are arranged in a mirror image, and the corresponding vertices overlap to form one arch structure unit, forming a total of m / 2 arch structure units; two adjacent arch structure units overlap at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that m / 2 arch structure units are connected together, thereby forming a foldable arch structure. The foldable arch structure based on Miura origami technology of the present invention can effectively support vertical loads and can be quickly folded and integrated.

Description

Technical Field

[0001] The present invention relates to the field of arch support, and in particular to a foldable arch structure based on Miura origami technology. Background Art

[0002] An arch structure is a curved support structure used for support. Due to its stable structure, strong load-bearing capacity, and large span, it is widely used in civil engineering, construction, bridges, tunnels, and other fields. Arch structures commonly used in engineering are generally composed of multiple steel frames spliced ​​together, often using flanges, sleeves, or welding connections. This requires a large number of workers during on-site installation, resulting in low assembly efficiency and insufficient safety. Summary of the Invention

[0003] In response to the shortcomings of the existing technology, the present invention provides a foldable arch frame structure based on Miura origami technology. By drawing on Miura origami technology, the foldable arch frame structure obtained can not only effectively support the vertical load of the roof, but also can be quickly folded and integrated for support.

[0004] The purpose of the present invention is achieved through the following technical solutions:

[0005] A foldable arch structure based on Miura origami technology, wherein the main body of the foldable arch structure is arched and can be unfolded to a certain arch height and arch span according to different folding space requirements;

[0006] The foldable arch structure is composed of m rows and n columns of Miura origami units, where m is an even number;

[0007] The half-length of each Miura origami unit's side is a, the half-length of its imaginary side is c, and the vertex angle is α; n Miura origami units in each row are connected end to end to form a stacked Miura origami unit; each stacked Miura origami unit has a total of n+1 sides;

[0008] The second stacked Miura origami unit is arranged in a mirror image with the first stacked Miura origami unit, and the corresponding vertices overlap, together forming the first arch structure unit; the fourth stacked Miura origami unit is arranged in a mirror image with the third stacked Miura origami unit, and the corresponding vertices overlap, together forming the second arch structure unit; and so on, the mth stacked Miura origami unit is arranged in a mirror image with the m-1th stacked Miura origami unit, and the corresponding vertices overlap, together forming the m / 2th arch structure unit;

[0009] The second arch structure unit overlaps with the first arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the second arch structure unit is connected to the first arch structure unit; the third arch structure unit overlaps with the second arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the third arch structure unit is connected to the second arch structure unit; and so on, the m / 2th arch structure unit overlaps with the m / 2-1th arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the m / 2th arch structure unit is connected to the m / 2-1th arch structure unit, thereby forming a foldable arch structure.

[0010] Furthermore, the half lengths a of the side edges of the m*n Miura origami units of the foldable arch structure are all the same, and the half lengths c of the virtual edges are all the same.

[0011] Furthermore, the vertex angles of all Miura origami units of the two stacked Miura origami units constituting each arch structure unit are equal.

[0012] Furthermore, the vertex angle α of the first arch frame structure unit of the foldable arch frame structure is 58°, the vertex angle α of the third arch frame structure unit is 60°, the vertex angle α of the fifth arch frame structure unit is 62°, and so on; the vertex angle α of the second arch frame structure unit of the foldable arch frame structure is 84°, the vertex angle α of the fourth arch frame structure unit is 83°, the vertex angle α of the sixth arch frame structure unit is 82°, and so on.

[0013] Furthermore, the material of the Miura origami unit is selected from any one of steel, aluminum, and wood board.

[0014] The beneficial effects of the present invention are as follows:

[0015] (1) The foldable arch structure based on Miura origami technology of the present invention can effectively support vertical loads;

[0016] (2) The foldable arch structure based on Miura origami technology of the present invention can be folded and unfolded quickly and provided with integrated support. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] Figure 1 This is a schematic diagram of the overall structure of the foldable arch structure based on Miura origami technology when the folding angle is 10° according to an embodiment of the present invention.

[0018] Figure 2 Schematic diagram of a Miura origami unit according to an embodiment of the present invention.

[0019] Figure 3Schematic diagram of an arch structure unit formed by two stacked Miura origami units.

[0020] Figure 4 It is a schematic diagram of a foldable arch structure formed by pasting multiple arch structure units in sequence.

[0021] Figure 5 Schematic diagram of the foldable arch structure of this embodiment at different folding angles. DETAILED DESCRIPTION

[0022] The present invention will be described in detail below with reference to the accompanying drawings and preferred embodiments, and the purpose and effects of the present invention will become more apparent. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention.

[0023] like Figure 1 As shown, the foldable arch structure based on Miura origami technology of this embodiment has an arched overall structure and can effectively support vertical loads.

[0024] The main body of the foldable arch structure is arch-shaped and can be expanded to a certain arch height and span according to different folding space requirements. The foldable arch structure is composed of m rows and n columns of Miura origami units, where m is an even number. The half length of the side of each Miura origami unit is a, the half length of the imaginary side is c, and the vertex angle is α; Figure 2 As shown in the figure, the solid line represents the peak line, and the dotted line represents the valley line; the peak line means that when folding, it will be folded outward in a direction perpendicular to the plane, while the valley line means that when folding, it will be folded inward in a direction perpendicular to the plane. The 3D structure formed by folding is shown in Figure 2 As shown on the right, the degree to which the Miura origami unit can be folded is characterized by the folding angle θ. Figure 2 In the figure, the direction in which the virtual edge extends is the x-axis direction, the direction in which the side edge is located is the y-axis direction, and the direction perpendicular to the xy plane is the z-axis direction.

[0025] In the foldable arch structure based on the Miura origami technology of this embodiment, n Miura origami units in each row are connected end to end to form a total of m stacked Miura origami units; each stacked Miura origami unit has n+1 sides; the second stacked Miura origami unit is arranged in a mirror image with the first stacked Miura origami unit, and the corresponding vertices overlap, together forming the first arch structure unit; the fourth stacked Miura origami unit is arranged in a mirror image with the third stacked Miura origami unit, and the corresponding vertices overlap, together forming the second arch structure unit; and so on, the mth stacked Miura origami unit is arranged in a mirror image with the m-1th stacked Miura origami unit, and the corresponding vertices overlap, together forming the m / 2th arch structure unit;

[0026] The second arch structure unit overlaps with the first arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the second arch structure unit is connected to the first arch structure unit; the third arch structure unit overlaps with the second arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the third arch structure unit is connected to the second arch structure unit; and so on, the m / 2th arch structure unit overlaps with the m / 2-1th arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the m / 2th arch structure unit is connected to the m / 2-1th arch structure unit, thereby forming a foldable arch structure.

[0027] In this embodiment, when a=30mm, c=30mm, α=58°, θ=60°, and n=2 of the Miura origami unit, the stacked Miura origami units are obtained as follows: Figure 3 The top subgraph in . Figure 3 The yellow dotted line in is the valley line. Figure 3 The top subgraph in the stacked Miura origami unit is obtained by gluing vertices 1 to 10 of the unit to the corresponding vertices 1' to 10' of its mirror image, and we get Figure 3 The arch structure unit in the bottom sub-figure.

[0028] like Figure 4 As shown in the figure, another arch structure unit is obtained by keeping a, c, and n of the Miura origami unit unchanged and only changing α to 84°. Figure 3 The obtained arch structure unit is bonded to the three corresponding sides ab and a'b', cd and c'd', ef and e'f' of the adjacent stacked Miura origami units, and so on. The value of the angle α is continuously adjusted to make multiple arch structure units, which are sequentially bonded to the corresponding sides of the above two arch structure units to obtain the following: Figure 4 The last sub-figure shows an arch structure with a certain vertical load bearing capacity.

[0029] like Figure 5 The figure shows a folding arch structure obtained by simulation when the arch structure unit parameters a=30mm, c=30mm, α is the data in Table 1, n=10, and m / 2=28.

[0030] Table 1 Table of vertex angle α values ​​of a total of m / 2 arch structure units

[0031]

[0032]

[0033] This foldable arch structure can be folded very compactly when not in use, such as Figure 5The folding angle θ is 75°, and when needed, the structure can be unfolded into an arch structure with a certain arch height and arch span, such as the case where the folding angle θ is 60° and θ is 30°.

[0034] Those skilled in the art will understand that the foregoing descriptions are merely preferred embodiments of the invention and are not intended to limit the invention. Although the invention has been described in detail with reference to the foregoing examples, those skilled in the art will still be able to modify the technical solutions described in the foregoing examples or substitute equivalents for some of the technical features therein. Any modifications, equivalent substitutions, etc. made within the spirit and principles of the invention shall be included within the scope of protection of the invention.

Claims

1. A foldable arch structure based on Miura origami technology, characterized in that: The main body of the foldable arch structure is arch-shaped and can be unfolded to a certain arch height and arch span according to different folding space requirements; The foldable arch structure is composed of m rows and n columns of Miura origami units, where m is an even number; The half-length of each Miura origami unit's side is a, the half-length of its imaginary side is c, and the vertex angle is α; n Miura origami units in each row are connected end to end to form a stacked Miura origami unit; each stacked Miura origami unit has a total of n+1 sides; The second stacked Miura origami unit is arranged in a mirror image with the first stacked Miura origami unit, and the corresponding vertices overlap, together forming the first arch structure unit; the fourth stacked Miura origami unit is arranged in a mirror image with the third stacked Miura origami unit, and the corresponding vertices overlap, together forming the second arch structure unit; and so on, the mth stacked Miura origami unit is arranged in a mirror image with the m-1th stacked Miura origami unit, and the corresponding vertices overlap, together forming the m / 2th arch structure unit; The second arch structure unit overlaps with the first arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the second arch structure unit is connected to the first arch structure unit; the third arch structure unit overlaps with the second arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the third arch structure unit is connected to the second arch structure unit; and so on, the m / 2th arch structure unit overlaps with the m / 2-1th arch structure unit at the n+1 corresponding sides of the adjacent stacked Miura origami units, so that the m / 2th arch structure unit is connected to the m / 2-1th arch structure unit, thereby forming a foldable arch structure.

2. The foldable arch structure based on Miura origami technology according to claim 1, characterized in that: The half lengths a of the side edges of the m*n Miura origami units of the foldable arch structure are all the same, and the half lengths c of the virtual edges are all the same.

3. The foldable arch structure based on Miura origami technology according to claim 1, characterized in that: The vertex angles of all Miura origami units of the two stacked Miura origami units constituting each arch structural unit are equal.

4. The foldable arch structure based on Miura origami technology according to claim 1, characterized in that: The vertex angle α of the first arch frame structure unit of the foldable arch frame structure is 58°, the vertex angle α of the third arch frame structure unit is 60°, the vertex angle α of the fifth arch frame structure unit is 62°, and so on; the vertex angle α of the second arch frame structure unit of the foldable arch frame structure is 84°, the vertex angle α of the fourth arch frame structure unit is 83°, the vertex angle α of the sixth arch frame structure unit is 82°, and so on.

5. The foldable arch structure based on Miura origami technology according to claim 1, characterized in that: The material of the Miura origami unit is selected from any one of steel, aluminum, and wood board.

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