CN1318713C - Method for producing radial openable round plate type structure - Google Patents

Abstract

The present invention discloses a manufacture method for radial openable circular plate type structures, which comprises the procedures: firstly, an openable circular plate type structure which is provided with a quincunx opening or a polygon opening after opened is selected, and design parameters are set according to the selected structure; secondly, a triangular plate covering unit of an arc line boundary class and a triangular plate covering unit of a broken line boundary class are designed for the two kinds of radial openable circular plate type structures; thirdly, the positions of hinging holes on the plate covering units are determined; fourthly, the plate covering units of the two kinds of radial openable circular plate type structures are connected through scissor type hinges according to a combination mode. The present invention has the advantages that the structure made by the manufacture method has the advantages of graceful and rich shape, artful conception, flexible design and large structural opening rate, the center is completely closed without holes when the structure is closed, all scissor type hinging joints make linear motion along respective radial lines when the structure is opened, and both plate covering units make simultaneous motion and are easy to control.

Description

The preparation method of radial openable round plate type structure

Technical field

The present invention relates to a kind of preparation method of radial openable round plate type structure.

Background technology

Up to now, existing in the world type of opening roof structure can be divided into according to roof system opening movement mode: 1. horizontal movement is opened, for example Ri Ben Ariake Colosseum; 2. Rigid Body in Rotation With is opened, for example the loyal tennis of Shanghai flag center; 3. unlatching, for example sports palace, Olympics, Montreal move up and down.The novel roof structure opened of one class is arranged in the current research, and it has used the notion of scissors hinges.The scissors hinged joint is a kind of hinged joint that is similar to the scissors node, and its characteristics are can freely rotate each other by each member that the scissors hinged joint connects.Spain engineer Pinero[1] the earliest scissors hinges is applied in the middle of the open-type building Escrig and Zeigler[2 afterwards] it is improved.The Hoberman[3 of the U.S., 4] invented unit, simple angle (Simple Angulated Element), and designed Aris Dome.

List of references

[1].Pinero，E.P.，1961.Spain?Patent?Number?266801.

[2].Zeigler，T.R.，1981.Collapsible?self-supporting?structures?and?panels?andhub?therefore，US?Patent?4,290,244.

[3].Hoberman，C.，1990.Reversibly?expandable?doubly-curved?truss?structures.US?Patent?4,942,700.

[4].Hoberman，C.，1991.Radial?expansion?retraction?truss?structure.US?Patent5,024,031.

Summary of the invention

The preparation method that the purpose of this invention is to provide a kind of radial openable round plate type structure.

Its step is as follows:

1) have the openable round plate type structure of quincunx opening after select opening or open after have polygonal-shaped openings openable round plate type structure, and determine design parameters according to selected structure;

2) the cladding plate unit that has the openable round plate type structure of quincunx opening after design is opened: class triangle cladding plate unit, camber line border, the cladding plate unit that has the openable round plate type structure of polygonal-shaped openings after the unlatching: class triangle cladding plate unit, broken line border, main formulas is as follows:

$r_{\max }=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\cos \[(k-2)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2}{2}\],$

$\mathrm{\Φ}=\mathrm{\π}-(k-2)\frac{2\mathrm{\π}}{n}-({\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2);$

3) determine hinge connection hole site on two kinds of cladding plate unit, at first set up polar coordinate system, the coordinate at hinge connection center, hole is (ρ i, θ i) so, (i=1,2 ... k), main formulas is as follows:

${\mathrm{\ρ}}_1=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\sin \[(i-1)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_1}{2}\](i=\mathrm{1,2}\·\·\·k),$

${\mathrm{\θ}}_i=(k-i)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_2}{2}(i=\mathrm{1,2}\·\·\·k);$

4) the cladding plate unit of two kinds of radial openable round plate type structure connects by the scissors hinge according to compound mode.

The openable round plate type structure that has quincunx opening after the unlatching is formed by the connection of scissors hinged joint according to compound mode by n class triangle cladding plate unit, heads camber line border and class triangle cladding plate unit, camber line border up, n the back side, class triangle cladding plate unit, a heads camber line border links to each other with class triangle cladding plate unit, camber line border up, k the back side respectively, node connection relation is that the inner ring node is corresponding links to each other, inferior inner ring node is corresponding to link to each other, and the like, the outmost turns node is corresponding to link to each other.

The openable round plate type structure that has polygonal-shaped openings after the unlatching is formed by the connection of scissors hinged joint according to compound mode by n class triangle cladding plate unit, heads broken line border and class triangle cladding plate unit, broken line border up, n the back side, class triangle cladding plate unit, a heads broken line border links to each other with class triangle cladding plate unit, broken line border up, k the back side respectively, node connection relation is that the inner ring node is corresponding links to each other, inferior inner ring node is corresponding to link to each other, and the like, the outmost turns node is corresponding to link to each other.

Advantage of the present invention is that the beautiful design of the structure made according to this preparation method enriches, is skillfully constructed, the unlatching rate of flexible design, structure is big; Central authorities' complete closed when structure is closed, the hole of not boxing out; All along separately radial line moving linearly, all cladding plate unit all are synchronized with the movement all scissors hinged joints during unlatching, are easy to control.

Description of drawings

The present invention is further described below in conjunction with accompanying drawing

Fig. 1 (a) is the radial openable round plate type structure closure state schematic diagram that has quincunx opening after the present invention opens;

Fig. 1 (b) is the radial openable round plate type structure opening schematic diagram that has quincunx opening after the present invention opens;

Fig. 2 (a) is the radial openable round plate type structure closure state schematic diagram that has polygonal-shaped openings after the present invention opens;

Fig. 2 (b) is the radial openable round plate type structure opening schematic diagram that has polygonal-shaped openings after the present invention opens;

Fig. 3 (a)～(d) is class triangle cladding plate unit, a camber line of the present invention border design flow diagram;

Fig. 3 (e) is that figure is determined in hinge connection hole site on the class triangle cladding plate unit, camber line of the present invention border;

Fig. 4 (a)～(d) is class triangle cladding plate unit, a broken line of the present invention border design flow diagram;

Fig. 4 (e) is that figure is determined in hinge connection hole site on the class triangle cladding plate unit, broken line of the present invention border;

Fig. 5 (a) is the openable round plate type structure front cladding plate element number figure that has quincunx opening after the present invention opens;

Fig. 5 (b) is the openable round plate type structure back side cladding plate element number figure that has quincunx opening after the present invention opens;

Fig. 5 (c) is the openable round plate type structure cladding plate unit combination mode schematic diagram that has quincunx opening after the present invention opens;

Fig. 5 (d) is that figure is finished in the openable round plate type structure cladding plate unit assembling that has quincunx opening after the present invention opens;

Fig. 6 (a) is the openable round plate type structure front cladding plate element number figure that has polygonal-shaped openings after the present invention opens;

Fig. 6 (b) is the openable round plate type structure back side cladding plate element number figure that has polygonal-shaped openings after the present invention opens;

Fig. 6 (c) is the openable round plate type structure cladding plate unit combination mode schematic diagram that has polygonal-shaped openings after the present invention opens;

Fig. 6 (d) is that figure is finished in the openable round plate type structure cladding plate unit assembling that has polygonal-shaped openings after the present invention opens;

Fig. 7 (a)～(d) is that figure is finished in the openable round plate type structure cladding plate unit assembling that the embodiment of the invention 1 has a quincunx opening.

The specific embodiment

One, the radial openable round plate type structure of the present invention's making is described

Integral body was configured as circle when this retractable structure was closed, it can be divided into two big classes, one class is the openable round plate type structure (as shown in Figure 1) that has quincunx opening after opening, it is a kind of structure of two layers, each layer forms by the connection of scissors hinged joint according to certain compound mode by class triangle cladding plate unit, n camber line border, and each class triangle cladding plate unit, camber line border is all identical.The structure central authorities hole of not boxing out when architectural feature is closure; Each cladding plate unit does not collide each other during unlatching, and all scissors hinged joints all move along separately radial line, and total only has one degree of freedom in the moving process; The shape of opening back structure central opening is an a kind of closed figures by the combination of multistage camber line, and this opening shape is called quincunx opening.Another kind of is the openable round plate type structure (as shown in Figure 2) that has polygonal-shaped openings after opening, it is a kind of structure of two layers, each layer forms by the connection of scissors hinged joint according to certain compound mode by class triangle cladding plate unit, n broken line border, and each class triangle cladding plate unit, broken line border is all identical.The structure central authorities hole of not boxing out when architectural feature is closure; Each cladding plate unit does not collide each other during unlatching, and all scissors hinged joints all move along separately radial line, and total only has one degree of freedom in the moving process; The shape of opening back structure central opening is an a kind of closed polygon by many line segment combinations, and this opening shape is called polygonal-shaped openings.

Two, primary variables that relates to of the present invention and formula

${\mathrm{\ρ}}_i=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\sin \[(i-1)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_1}{2}\](i=\mathrm{1,2}\·\·\·k)---\left(1\right)$

${\mathrm{\θ}}_i=(k-i)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_2}{2}(i=\mathrm{1,2}\·\·\·k)---\left(2\right)$

$r_{\max }=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\cos [(k-2)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2}{2}]---\left(3\right)$

$\mathrm{\Φ}=\mathrm{\π}-(k-2)\frac{2\mathrm{\π}}{n}-({\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2)---\left(4\right)$

N represents class triangle cladding plate number of unit in each layer of openable round plate type structure; (among Fig. 1, n=8; Among Fig. 2, n=9)

K represents the hinge connection hole count that comprises in the single cladding plate unit; (among Fig. 1, k=3; Among Fig. 2, k=3)

ψ ₁Represent dwell angle;

ψ ₂Represent opening angle;

r _jRepresentative hinge connection pore radius;

L represents the distance at adjacent hinge connection center, hole on the same cladding plate unit;

The radius of total when R represents closure;

Three, making step of the present invention is as follows:

(1) have the openable round plate type structure of quincunx opening after select opening or open after have polygonal-shaped openings openable round plate type structure, and determine design parameters k, n, ψ according to the moulding of selected structure ₁And ψ ₂:

1) value of k has only two kinds of situations: 3 or 4, and choose k during design as far as possible and equal 3;

2) n 〉=2k does not get equal sign as far as possible.

3) ψ ₁And ψ ₂Value can not differ too big, equate as far as possible.

4) k=3, ψ ₁And ψ ₂Value is advisable between 5 °～20 °; K=4, ψ ₁And ψ ₂Value is advisable between 5 °～10 °.

According to the radius of choice structure and the size of scissors hinge, determine R or l and hinge connection pore radius r _j

R＞ρ _k+ r _j, the value of R is not excessive, as long as than value lower limit bigger slightly.

Attention: the radial openable round plate type structure overwhelming majority that the design parameters of choosing according to above-mentioned requirements designs is feasible.Just in case the design failure, alternative is got one group of design parameters, till design effectively.

(2) design of camber line border class triangle cladding plate unit and class triangle cladding plate unit, broken line border

1) camber line border class triangle cladding plate unit design procedure

Shown in Fig. 3 (a), set up polar coordinate system, with limit O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc OF, hand over pole axis in the F point. ${\mathrm{\ρ}}_0\·\cos {\mathrm{\θ}}_0=l\·\sin \frac{\mathrm{\Φ}}{2},$ Note ρ ₀And θ ₀Span.

${\mathrm{\ρ}}_0\∈(l,r_{\max })\∪(r_{\max },\∞),{\mathrm{\θ}}_0\∈(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\Φ}}{2},\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n})\∪(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n},\frac{\mathrm{\π}}{2})(k=3)$

${\mathrm{\ρ}}_0\∈(l,r_{\max }),{\mathrm{\θ}}_0\∈(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\Φ}}{2},\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n})(k=4)$

A) shown in Fig. 3 (b), be second section circular arc starting point with F, on pole axis, periodically repeat picture and equate circular arc FG.As a rule, repeating the picture circular arc gets final product for 1 to 2 time.

B) shown in Fig. 3 (c), circular arc OF and FG are turned over counterclockwise Angle repeats a, b step once again, draws circular arc OP and PQ.

C) shown in Fig. 3 (d), be the center of circle with limit O, R is a radius, makes circular arc ST and hands over circular arc FG in T, hands over circular arc PQ in S.

2) broken line border class triangle cladding plate unit design procedure

A) shown in Fig. 4 (a), set up polar coordinate system, with limit O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc OF, hand over pole axis in the F point. ${\mathrm{\ρ}}_0\·\cos {\mathrm{\θ}}_0=l\·\sin \frac{\mathrm{\Φ}}{2},$ Note ρ ₀And θ ₀Span.Replace circular arc with the multistage broken line.For example among Fig. 4 (a), arcuate midway point is A, replaces circular arc OF with broken line OAF

${\mathrm{\ρ}}_0\∈(l,r_{\max })\∪(r_{\max },\∞),{\mathrm{\θ}}_0\∈(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\Φ}}{2},\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n})\∪(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n},\frac{\mathrm{\π}}{2})(k=3)$

${\mathrm{\ρ}}_0\∈(l,r_{\max }),{\mathrm{\θ}}_0\∈(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\Φ}}{2},\frac{\mathrm{\π}}{2}-\frac{\mathrm{\π}}{n})(k=4)$

B) shown in Fig. 4 (b), as being second section broken line starting point, on pole axis, periodically repeating picture and equate broken line FBG with the F point.As a rule, repeating the picture broken line gets final product for 1 to 2 time.

C) shown in Fig. 4 (c), broken line OAF and FBG are turned over counterclockwise

Angle repeats a, b step once again, draws broken line OCP and broken line PDQ

D) shown in Fig. 4 (d), be the center of circle with limit O, R is a radius, makes circular arc ST broken line FBG in T, hands over broken line PDQ in S.

(3) determine hinge connection hole site on two kinds of cladding plate unit

1) hinge joins determining of hole site on the camber line border class triangle cladding plate unit

Shown in Fig. 3 (e), clip the redundance of each circular arc, with (ρ _i, θ _i) be the center of circle, r _jBe radius, do hinge connection hole,, join distance order number consecutively hole 1, hole 2 from small to large to the extreme, hole with hinge respectively to hinge connection hole numbering ... hole k.So far, the design of class triangle cladding plate unit, camber line border is all finished, and from the appearance, it is the closed figures that is combined by circular arc OF, circular arc FT, circular arc OP, circular arc PS, circular arc ST, and it is r that there is k radius the centre _jHinge connection hole.The key of design is that hinge connection hole must be within each border, cladding plate unit.

2) hinge joins determining of hole site on the broken line border class triangle cladding plate unit

Shown in Fig. 4 (e), clip the redundance of each broken line, with (ρ _i, θ _i) be the center of circle, r _jBe radius, do hinge connection hole,, join distance order number consecutively hole 1, hole 2 from small to large to the extreme, hole with hinge respectively to hinge connection hole numbering ... hole k.So far, the design of class triangle cladding plate unit, broken line border is finished, and from the appearance, it is the closed figures that is combined by broken line OAF, broken line FBT, broken line OCP, broken line PDS, circular arc ST, and it is r that there is k radius the centre _jHinge connection hole.The key of design is that hinge connection hole must be within each border, cladding plate unit.

(4) has the cladding plate unit of openable round plate type structure of quincunx opening after opening according to compound mode

Cut with scissors connection according to compound mode by scissors by the cladding plate unit that has the openable round plate type structure of polygonal-shaped openings after connection of scissors hinge and the unlatching.

1) has the compound mode of the openable round plate type structure of quincunx opening after opening

A) shown in Fig. 5 (a), the class triangle cladding plate unit, n camber line border that designs is faced up, number consecutively is CAF ₁, CAF ₂... CAF _n

B) shown in Fig. 5 (b), with the back side, class triangle cladding plate unit, other n camber line border that designs up, number consecutively is CAB ₁, CAB ₂... CAB _n

C) shown in Fig. 5 (c), CAF ₁No. 1 point and CAB ₁No. 1 point link to each other CAF ₁No. 2 points and CAB ₂No. 2 points link to each other CAF ₁No. 3 points and CAB ₃No. 3 points link to each other CAF ₁No. 4 points and CAB ₄No. 4 points link to each other (if point is arranged No. 4); By that analogy, CAF _NNo. 1 point and CAB _NNo. 1 point link to each other CAF _NNo. 2 points and CAB _XNo. 2 points link to each other CAF _NNo. 3 points and CAB _YNo. 3 points link to each other CAF _NNo. 4 points and CAB _ZNo. 4 points link to each other (if point is arranged No. 4).

$X=\left\{\begin{array}{cc}N+1,& N\≤n-1\\ N+1-n,& N=n\end{array}\right\}$ $Y=\left\{\begin{array}{cc}N+2,& N\≤n-2\\ N+2-n,& N>n-2\end{array}\right\}$ $Z=\left\{\begin{array}{cc}N+3,& N\≤n-3\\ N+3-n,& N>n-3\end{array}\right\}$

D) openable round plate type structure that has quincunx opening after the unlatching of making is shown in Fig. 5 (d).

2) has the compound mode of the openable round plate type structure of polygonal-shaped openings after opening

A) shown in Fig. 6 (a), the class triangle cladding plate unit, n broken line border that designs is faced up, number consecutively is CPF ₁, CPF ₂CPF _n

B) shown in Fig. 6 (b), with the back side, class triangle cladding plate unit, other n broken line border that designs up, number consecutively is CPB ₁, CPB ₂CPB _n

C) shown in Fig. 6 (c), CPF ₁No. 1 point and CPB ₁No. 1 point link to each other CPF ₁No. 2 points and CPB ₂No. 2 points link to each other CPF ₁No. 3 points and CPB ₃No. 3 points link to each other CPF ₁No. 4 points and CPB ₄No. 4 points link to each other (if point is arranged No. 4); By that analogy, CPF _NNo. 1 point and CPB _NNo. 1 point link to each other CPF _NNo. 2 points and CPB _XNo. 2 points link to each other CPF _NNo. 3 points and CPB _YNo. 3 points link to each other CPF _NNo. 4 points and CPB _ZNo. 4 points link to each other (if point is arranged No. 4).

$X=\left\{\begin{array}{cc}N+1,& N\≤n-1\\ N+1-n,& N=n\end{array}\right\}$ $Y=\left\{\begin{array}{cc}N+2,& N\≤n-2\\ N+2-n,& N>n-2\end{array}\right\}$ $Z=\left\{\begin{array}{cc}N+3,& N\≤n-3\\ N+3-n,& N>n-3\end{array}\right\}$

D) openable round plate type structure that has polygonal-shaped openings after the unlatching of making is shown in Fig. 6 (d).

Embodiment 1

Have the openable round plate type structure of quincunx opening after the unlatching that to propose radius of meter be 115mm, the diameter of scissors hinge is 5.8mm.

1) chooses n=8, k=3, ψ ₁=20 °, ψ ₂=20 °, r _j=3mm; According to R＞ρ ₃+ r _j, substitution (1) formula, promptly

Solve l＜52.323mm, get l=50mm.

2) with in design parameters substitution (3) formula and (4) formula, calculate r _Max=96.3299mm, Ф=95 °; Choose ρ ₀=55.5mm, according to ${\mathrm{\ρ}}_0\·\cos {\mathrm{\θ}}_0=l\·\sin \frac{\mathrm{\Φ}}{2},$ Calculate θ ₀=48.378 °.

ρ ₀∈(50，96.3299)，θ ₀∈(42.5 ⁰，67.5 ⁰)(k＝3)

3) shown in Fig. 3 (a), set up polar coordinate system, with limit O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc OF, hand over pole axis in the F point.

4) shown in Fig. 3 (b), be second section circular arc starting point with F, on pole axis, periodically repeat picture and equate circular arc FG.

5) shown in Fig. 3 (c), circular arc OF and FG are turned over 45 ° counterclockwise, repeat 3,4 steps more once, draw circular arc OP and PQ.

6) shown in Fig. 3 (d), be the center of circle with limit O, R is a radius, makes circular arc ST and hands over circular arc FG in T, hands over circular arc PQ in S.

7) with in design parameters substitution (1) formula and (2) formula, calculate respectively

8) shown in Fig. 3 (e), clip the redundance of each circular arc, respectively with (ρ ₁, θ ₁), (ρ ₂, θ ₂), (ρ ₃, θ ₃) be the center of circle, do the hinge connection hole of 3mm radius, respectively to hinge connection hole numbering, join distance order number consecutively hole 1, hole 2, hole 3 from small to large to the extreme, hole with hinge.

9) repeat 1～8 step 16 time.

10) shown in Fig. 7 (a), the class triangle cladding plate unit, 8 camber line borders that designs is faced up, number consecutively is CAF ₁, CAF ₂CAF ₈

11) shown in Fig. 7 (b), with the back side, class triangle cladding plate unit, other 8 camber line borders that designs up, number consecutively is CAB ₁, CAB ₂CAB ₈

12) shown in Fig. 7 (c), CAF ₁No. 1 point and CAB ₁No. 1 point link to each other CAF ₁No. 2 points and CAB ₂No. 2 points link to each other CAF ₁No. 3 points and CAB ₃No. 3 points link to each other; By that analogy, CAF _NNo. 1 point and CAB _NNo. 1 point link to each other CAF _NNo. 2 points and CAB _XNo. 2 points link to each other CAF _NNo. 3 points and CAB _YNo. 3 points link to each other.

$X=\left\{\begin{array}{cc}N+1,& N\≤n-1\\ N+1-n,& N=n\end{array}\right\}$ $Y=\left\{\begin{array}{cc}N+2,& N\≤n-2\\ N+2-n,& N>n-2\end{array}\right\}$ $Z=\left\{\begin{array}{cc}N+3,& N\≤n-3\\ N+3-n,& N>n-3\end{array}\right\}$

13) openable round plate type structure that has quincunx opening after the unlatching of making is shown in Fig. 7 (d).

Embodiment 2

Propose and count a radius openable round plate type structure that has polygonal-shaped openings after the unlatching that is 81mm, the diameter of scissors hinge is 3.8mm.

1) chooses n=9, k=3, ψ ₁=15 °, ψ ₂=20 °, r _j=2mm; According to R＞ρ ₃+ r _j, substitution (1) formula, promptly

Solve l＜36.6478mm, get l=36mm.

2) with in design parameters substitution (3) formula and (4) formula, calculate r _Max=83.5059mm, Ф=105 °; Choose ρ ₀=37.3647mm, according to ${\mathrm{\ρ}}_0\·\cos {\mathrm{\θ}}_0=l\·\sin \frac{\mathrm{\Φ}}{2},$ Calculate θ ₀=40.1484 °.

ρ ₀∈(36，83.5059)，θ ₀∈(37.5°，70°)(k＝3)

3) shown in Fig. 4 (a), set up polar coordinate system, with limit O as circular arc starting point, (ρ ₀, θ ₀) be the center of circle, make circular arc OF, hand over pole axis in the F point, arcuate midway point is A, replaces circular arc OF with broken line OAF.

4) shown in Fig. 4 (b), as being second section broken line starting point, on pole axis, periodically repeating picture and equate broken line FBG with the F point.

5) shown in Fig. 4 (c), broken line OAF and FBG are turned over 40 ° counterclockwise, repeat 3,4 steps more once, draw broken line OCP and broken line PDQ.

6) shown in Fig. 4 (d), be the center of circle with limit O, R is a radius, makes circular arc ST broken line FBG in T, hands over broken line PDQ in S.

7) with in design parameters substitution (1) formula and (2) formula, calculate respectively

8) shown in Fig. 4 (e), clip the redundance of each broken line, respectively with (ρ ₁, θ ₁), (ρ ₂, θ ₂), (ρ ₃, θ ₃) be the center of circle, do the hinge connection hole of 3mm radius, respectively to hinge connection hole numbering, join distance order number consecutively hole 1, hole 2, hole 3 from small to large to the extreme, hole with hinge.

9) repeat 1～8 step 18 time.

10) shown in Fig. 6 (a), the class triangle cladding plate unit, 9 broken line borders that designs is faced up, number consecutively is CPF ₁, CPF ₂CPF ₉

11) shown in Fig. 6 (b), with the back side, class triangle cladding plate unit, other 9 broken line borders that designs up, number consecutively is CPB ₁, CPB ₂CPB ₉

12) shown in Fig. 6 (c), CPF ₁No. 1 point and CPB ₁No. 1 point link to each other CPF ₁No. 2 points and CPB ₂No. 2 points link to each other CPF ₁No. 3 points and CPB ₃No. 3 points link to each other; By that analogy, CPF _NNo. 1 point and CPB _NNo. 1 point link to each other CPF _NNo. 2 points and CPB _XNo. 2 points link to each other CPF _NNo. 3 points and CPB _YNo. 3 points link to each other.

$X=\left\{\begin{array}{cc}N+1,& N\≤n-1\\ N+1-n& N=n\end{array}\right\}$ $Y=\left\{\begin{array}{cc}N+2,& N\≤n-2\\ N+2-n,& N>n-2\end{array}\right\}$ $Z=\left\{\begin{array}{cc}N+3,& N\≤n-3\\ N+3-n,& N>n-3\end{array}\right\}$

13) openable round plate type structure that has polygonal-shaped openings after the unlatching of making is shown in Fig. 6 (d).

Claims (3)

1. the preparation method of a radial openable round plate type structure is characterized in that, its step is as follows:

1) have the openable round plate type structure of quincunx opening after select opening or open after have polygonal-shaped openings openable round plate type structure, and determine following design parameters: the hinge connection hole count k, the dwell angle ψ that comprise in the single cladding plate unit according to selected structure ₁, opening angle ψ ₂, hinge connection pore radius r _j, adjacent hinge connection center, hole apart from the l and the radius R of total when closed on the same cladding plate unit;

2) the cladding plate unit that has the openable round plate type structure of quincunx opening after design is opened: class triangle cladding plate unit, camber line border, the cladding plate unit that has the openable round plate type structure of polygonal-shaped openings after the unlatching: class triangle cladding plate unit, broken line border, main formulas is as follows:

$r_{\max }=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\cos [(k-2)\frac{\mathrm{\π}}{2}+\frac{{\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2}{2}],$

$\mathrm{\Φ}=\mathrm{\π}(k-2)\frac{2\mathrm{\π}}{n}-({\mathrm{\ψ}}_1+{\mathrm{\ψ}}_2),$

Wherein, k is hinge connection hole count, the ψ that comprises in the single cladding plate unit ₁Be dwell angle, ψ ₂Be opening angle, r _jFor hinge connection pore radius, l are that distance, the n at adjacent hinge connection center, hole on the same cladding plate unit is the number of cladding plate unit;

3) determine hinge connection hole site on two kinds of cladding plate unit, at first set up polar coordinate system, the coordinate at hinge connection center, hole is (ρ so _i, θ _i), (i=1,2 ... k), main formulas is as follows:

${\mathrm{\ρ}}_i=\frac{l}{\sin \frac{\mathrm{\π}}{n}}\·\sin [(i-1)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_1}{2}](i=\mathrm{1,2}\·\·\·k),$

${\mathrm{\θ}}_i=(k-i)\frac{\mathrm{\π}}{n}+\frac{{\mathrm{\ψ}}_2}{2}(i=\mathrm{1,2}\·\·\·k),$

Wherein, k is hinge connection hole count, the ψ that comprises in the single cladding plate unit ₁Be dwell angle, ψ ₂Be opening angle, r _jFor hinge connection pore radius, l are that distance, the n at adjacent hinge connection center, hole on the same cladding plate unit is the number of cladding plate unit;

4) the cladding plate unit of two kinds of radial openable round plate type structure connects by the scissors hinge according to compound mode.

2. the preparation method of a kind of radial openable round plate type structure according to claim 1, it is characterized in that, described two kinds of cladding plate unit connect by the scissors hinged joint according to compound mode: the openable round plate type structure that has quincunx opening after the unlatching is formed by the connection of scissors hinged joint according to compound mode by n class triangle cladding plate unit, heads camber line border and class triangle cladding plate unit, camber line border up, n the back side, class triangle cladding plate unit, a heads camber line border links to each other with class triangle cladding plate unit, camber line border up, k the back side respectively, node connection relation is that the inner ring node is corresponding links to each other, inferior inner ring node is corresponding to link to each other, and the like, the outmost turns node is corresponding to link to each other.

3. the preparation method of a kind of radial openable round plate type structure according to claim 1, it is characterized in that, described two kinds of cladding plate unit connect by the scissors hinged joint according to compound mode: the openable round plate type structure that has polygonal-shaped openings after the unlatching is formed by the connection of scissors hinged joint according to compound mode by n class triangle cladding plate unit, heads broken line border and class triangle cladding plate unit, broken line border up, n the back side, class triangle cladding plate unit, a heads broken line border links to each other with class triangle cladding plate unit, broken line border up, k the back side respectively, node connection relation is that the inner ring node is corresponding links to each other, inferior inner ring node is corresponding to link to each other, and the like, the outmost turns node is corresponding to link to each other.

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