CN102561575A - Method for making fixed point rotary circular openable structure - Google Patents

Abstract

The invention discloses a method for making a fixed point rotary circular openable structure. The method comprises the following steps of: 1) selecting the fixed point rotary circular openable structure which is provided with an arc opening or a folding opening when opened, and setting design parameters; 2) designing similar sectorial cover plate units of the fixed point rotary circular openable structure, namely arc boundary similar sectorial cover plate units or folding boundary similar sectorial cover plate units; 3) determining the positions of internal fixed points of the similar sectorial cover plate units of the fixed point rotary circular openable structure; 4) determining the positions of the connecting corner beam sections among the similar sectorial cover plate units in the similar sectorial cover plate units; and 5) connecting the similar sectorial cover plate units by means of the connecting corner beam sections, and thus obtaining the fixed point rotary circular openable structure. The openable structure obtained by the method has abundant and elegant models; the center of the structure is completely sealed when the structure is closed, and the area of the central opening of the structure is large when the structure is opened; and the similar sectorial cover plate units are rotated around the respective internal fixed points in the process of opening and closing, are synchronously moved and are easy to control.

Description

The fix a point preparation method of rotary circular retractable structure

Technical field

The present invention relates to a kind of preparation method of the rotary circular retractable structure of fixing a point.

Background technology

Can open development under the research background of roof structure.Up to now, retractable structure mainly can be divided into by its opening ways rotarily open, horizontal linear moves and opens and move up and down the unlatching three major types.With respect to other two types of opening ways, rotarily opening the great advantage that has is that its rotary unit can exist fixed point in motion process, thereby improves stability and the safety of structure in moving process.Simultaneously, under moving process and unlatching, closure state, the combination between rotary unit can demonstrate abundant graceful moulding.In moving process, how guaranteeing the synchronism between rotary unit and avoiding the mutual collision between rotary unit is to rotarily open the problem that structure faces.

Built that to rotarily open the most representative in the roof structure be the loyal indoor tennis stadium of Shanghai flag, but separate between its rotary unit, the synchronism of moving process need rely on extraneous control, and when opening in the central opening b influenced aperture area ^[1]People such as Adachi utilize the mutual effect of contraction between adjacent rotary unit, and having proposed a kind ofly only has the fixed point of a whole degree of freedom can open roof structure, but this class formation central authorities when closure can stay the hole that is difficult to eliminate ^[2]People such as Luo Yaozhi utilize the equilateral chain linkage of single-degree-of-freedom principle proposed one type by double-deck swivel plate unit through the scissors hinge connect form radially can open plank frame, but there is not fixed point in this class formation inside, unit in moving process ^[3]

[1]Gao?Lin，Ying-ru?Lin.The?design?and?research?of?revolving?openable?roof?system?for?ShangHai?Qi-Zhong?Stadium[J].International?Symposium?of?IASS，2006.

[2]Adachi?et?al.1987.Openable?dome-shaped?roof?structure.US?Patent?4，706，419.

[3]Yaozhi?Luo，Decan?Mao，Zhong?You.On?a?type?of?radially?retractable?plate?structures[J].International?Journal?of?solids?and?structures，2007.

Summary of the invention

The objective of the invention is to overcome the deficiency of prior art, a kind of preparation method of the rotary circular retractable structure of fixing a point is provided.

The step of preparation method of rotary circular retractable structure of fixing a point is following:

1) the rotary circular retractable structure of fixed point that has arc opening or broken line shape opening after selection is opened, and definite cover plate piece is counted n, opening angle Φ, unlatching back central opening radius r, fixed point zone radius r _d, connect cantilevered corner beam section width b;

2) the fan-shaped cover plate of the class unit that has the rotary circular retractable structure of fixed point of arc opening or broken line shape opening after design is opened; Two radiuses of class fan-shaped cover plate unit with rotary circular retractable structure of fixed point of arc opening are made up of a plurality of arcs border, and two radiuses of the fan-shaped cover plate of class unit with rotary circular retractable structure of fixed point of broken line shape opening are made up of a plurality of broken line shapes border: the design formulas on the arc border of the fan-shaped cover plate of class unit is following:

${\mathrm{\ρ}}_0\·\cos {\mathrm{\θ}}_0=r\·\sin \frac{\mathrm{\π}}{n}$ ，ρ ₀∈(r，∞)， ${\mathrm{\θ}}_0\∈(\frac{\mathrm{\π}}{2}-\frac{\mathrm{\Φ}}{2},\frac{\mathrm{\π}}{2}),$ $\mathrm{\Φ}\≤\frac{2\mathrm{\π}}{n};$

ρ wherein ₀Be arc border radius corresponding, θ ₀Be the corresponding central angle in arc border;

The broken line shape border of the fan-shaped cover plate of class unit is on the arc border, to get a little, and with straightway these points is connected successively;

3) confirm to have the position of the inner fixed point in cover plate unit of the rotary circular retractable structure of fixed point of arc opening or broken line shape opening, with polar coordinate representation, the coordinate G at inner fixed point center, cover plate unit (ρ, design formulas θ) is following:

$\mathrm{\&rho;}=\frac{\mathrm{<figure-callout\; id="2"\; label="l"\; filenames="120119152243.png"\; state="\{\{state\}\}">l</figure-callout>}}{2\sin \frac{\mathrm{\&pi;}}{n}},$ $\mathrm{\&theta;}=\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2};$

Wherein the ρ representative is fixed a point to the distance of structure centre, the angle of θ representative fixed point and structure centre line and type fan-shaped cover plate elementary boundary;

4) confirm to connect between the cover plate unit cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _iPosition in the cover plate unit with polar coordinate representation, connects cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l, design formulas is following:

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin \left[(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})\right]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ $h_{\min }=r_d+\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2}$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

If connect cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l then connects cantilevered corner beam section JI _iParallel with polar axis shaft, obtain connecting cantilevered corner beam section JI thus _iAnother end points DI _I2, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iAxis join end to end, promptly connect cantilevered corner beam section JII _iAn end points DII _I1Be connected cantilevered corner beam section JI _iEnd points DI _I2Overlap, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2

If connect cantilevered corner beam section JI _iEnd points DI _I1Not at i piece class inside, fan-shaped cover plate unit or ρ ₁＞l then need reduce θ ₁, connect cantilevered corner beam section JII this moment _iBe connected cantilevered corner beam section JI _iAxis no longer continuous, under closure state, connect cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l:

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin [j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ j＝2，3，4…， $h_{\min }=r_d+\frac{b}{2}$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

Progressively increase j until connecting cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l.Connect cantilevered corner beam section JII _iAn end points DII _I1Through connecting cantilevered corner beam section JI _iEnd points DI _I1Fixed point around the fan-shaped cover plate of i piece class unit is rotated counterclockwise the η angle earlier, and the 2 π/n angle that turns clockwise around the retractable structure center again obtains, and connects cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle still be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2, anglec of rotation η should satisfy for the first time:

$\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\sin \mathrm{\&alpha;}}\&le;{\mathrm{\&rho;}}_1\sin [\frac{\mathrm{\&eta;}}{2}-\frac{\mathrm{\&pi;}}{n}],$ $\mathrm{\&alpha;}=\frac{\mathrm{\&pi;}+\mathrm{\&eta;}}{2}-\mathrm{\&Phi;}-\frac{\mathrm{\&pi;}}{n}-j(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2});$

5) first group of connection cantilevered corner beam section JI accomplished in design ₁, connect cantilevered corner beam section JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁After, the connection cantilevered corner beam section JI of all the other each groups _i, connect cantilevered corner beam section JII _iWith the fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iCan connect cantilevered corner beam JI through first group accordingly ₁, connect cantilevered corner beam JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁2 π (the i-1)/n that turns clockwise around the retractable structure center obtains; The fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iThrough connecting cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _I-1With the fan-shaped cover plate of arc border class unit PA _I+1Or the fan-shaped cover plate of broken line shape border class unit PP _I+1Be connected the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Through connecting cantilevered corner beam section JI ₁, connect cantilevered corner beam section JII _nWith the fan-shaped cover plate of arc border class unit PA ₂Or the fan-shaped cover plate of broken line shape border class unit PP ₂Be connected the fan-shaped cover plate of arc border class unit PA _nOr the fan-shaped cover plate of broken line shape border class unit PP _nThrough connecting cantilevered corner beam section JI _n, connect cantilevered corner beam section JII _N-1With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Be connected, rotary circular retractable structure obtains fixing a point.

The moulding of the structure that the present invention processes is abundant graceful; Structure central authorities complete closed when closed, structure central opening area is big during unlatching; In the moving process, the cover plate unit all rotates around inner separately fixed point, and all cover plate unit all are synchronized with the movement, and is easy to control.

Description of drawings

Below in conjunction with accompanying drawing the present invention is further specified

Fig. 1 (a) is the rotary circular retractable structure closure state sketch map of fixed point that has arc opening after the present invention opens;

Fig. 1 (b) is the rotary circular retractable structure opening sketch map of fixed point that has arc opening after the present invention opens;

Fig. 2 (a) is the rotary circular retractable structure closure state sketch map of fixed point that has broken line shape opening after the present invention opens;

Fig. 2 (b) is the rotary circular retractable structure opening sketch map of fixed point that has broken line shape opening after the present invention opens;

Fig. 3 (a) is cover plate unit and the numbering figure of cantilevered corner beam that has the rotary circular retractable structure of fixed point of arc opening after the present invention opens;

Fig. 3 (b) is cover plate unit and the numbering figure of cantilevered corner beam that has the rotary circular retractable structure of fixed point of broken line shape opening after the present invention opens;

Fig. 4 (a)～(c) is arc border, a camber line of the present invention border class fan-shaped cover plate unit design flow diagram;

Fig. 4 (d) is that figure is confirmed in the fixed point center on the fan-shaped cover plate of the camber line of the present invention border class unit, and G is the fixed point center;

Fig. 4 (e) is that figure is confirmed in the cantilevered corner beam position on the fan-shaped cover plate of the camber line of the present invention border class unit;

Fig. 4 (f) is the fan-shaped cover plate of camber line of the present invention border class unit and be connected cantilevered corner beam section sketch map;

Fig. 5 (a)～(c) is broken line shape border, the fan-shaped cover plate of a broken line of the present invention border class unit design flow diagram;

Fig. 5 (d) is that figure is confirmed in the fixed point center on the fan-shaped cover plate of the broken line of the present invention border class unit, and G is the fixed point center;

Fig. 5 (e) is that figure is confirmed in the cantilevered corner beam position on the fan-shaped cover plate of the broken line of the present invention border class unit;

Fig. 5 (f) is the fan-shaped cover plate of broken line of the present invention border class unit and be connected cantilevered corner beam section sketch map.

The specific embodiment

The step of preparation method of rotary circular retractable structure of fixing a point is following:

1) the rotary circular retractable structure of fixed point that has arc opening or broken line shape opening after selection is opened, and definite cover plate piece is counted n, opening angle Φ, unlatching back central opening radius r, fixed point zone radius r _d, connect cantilevered corner beam section width b;

Cover plate unit number n should not be greater than 10, and the initial value of opening angle Φ can be taken as Φ=2 π/n-2 π/9n, and the central opening radius r can be confirmed according to design demand during unlatching, fixed point zone radius r _dCan confirm that connecting cantilevered corner beam section width b can confirm according to the width of design cantilevered corner beam by the size of fixed point bearing;

2) the fan-shaped cover plate of the class unit that has the rotary circular retractable structure of fixed point of arc opening or broken line shape opening after design is opened; Two radiuses of class fan-shaped cover plate unit with rotary circular retractable structure of fixed point of arc opening are made up of a plurality of arcs border, and two radiuses of the fan-shaped cover plate of class unit with rotary circular retractable structure of fixed point of broken line shape opening are made up of a plurality of broken line shapes border: the design formulas on the arc border of the fan-shaped cover plate of class unit is following:

${\mathrm{\&rho;}}_0\&CenterDot;\cos {\mathrm{\&theta;}}_0=r\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n},$ ρ ₀∈(r，∞)， ${\mathrm{\&theta;}}_0\&Element;(\frac{\mathrm{\&pi;}}{2}-\frac{\mathrm{\&Phi;}}{2},\frac{\mathrm{\&pi;}}{2}),$ $\mathrm{\&Phi;}\&le;\frac{2\mathrm{\&pi;}}{n};$

ρ wherein ₀Be arc border radius corresponding, θ ₀Be the corresponding central angle in arc border;

The broken line shape border of the fan-shaped cover plate of class unit is on the arc border, to get a little, and with straightway these points is connected successively;

The fan-shaped cover plate of class unit, camber line border design procedure

A) shown in Fig. 4 (a), be that polar axis shaft is set up polar coordinate system with the fan-shaped cover plate elementary boundary of class, with polar coordinates point O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc

Hand over polar axis shaft in the A point.ρ ₀And θ ₀Should meet the following conditions:

${\mathrm{\&rho;}}_0\&CenterDot;\cos {\mathrm{\&theta;}}_0=r\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n}$

ρ ₀∈(r，∞)， ${\mathrm{\&theta;}}_0\&Element;(\frac{\mathrm{\&pi;}}{2}-\frac{\mathrm{\&Phi;}}{2},\frac{\mathrm{\&pi;}}{2}),$

B) shown in Fig. 4 (b); With the A point is second section circular arc starting point; On pole axis, draw identical circular arc

generally speaking, this operation repetition gets final product for 1～2 time.

C) shown in Fig. 4 (c); Circular arc

and

are turned over

angle counterclockwise, obtain circular arc

and

The fan-shaped cover plate of class unit, broken line border design procedure

A) shown in Fig. 5 (a), be that polar axis shaft is set up polar coordinate system with the fan-shaped cover plate elementary boundary of class, with polar coordinates point O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc

Hand over pole axis in the A point.ρ ₀And θ ₀Should meet the following conditions:

${\mathrm{\&rho;}}_0\&CenterDot;\cos {\mathrm{\&theta;}}_0=r\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n}$

ρ ₀∈(r，∞)， ${\mathrm{\&theta;}}_0\&Element;(\frac{\mathrm{\&pi;}}{2}-\frac{\mathrm{\&Phi;}}{2},\frac{\mathrm{\&pi;}}{2})$

The broken line border vertices of the fan-shaped cover plate of class unit, broken line border should be inner at the circular arc that with

is the center of circle, and the slope of each broken line should reduce successively.When actual design, can pass through circular arc

Obtain the broken line border, in Fig. 5 (a), A ₁, A ₂Be circular arc On point, use broken line OA ₁A ₂A replaces circular arc

B) shown in Fig. 5 (b), as being second section broken line starting point, on pole axis, draw identical broken line AB with the A point ₁B ₂B.Generally speaking, this operation repetition gets final product for 1～2 time.

C) shown in Fig. 5 (c), with broken line OA ₁A ₂A and AB ₁B ₂B turns over counterclockwise

Angle obtains broken line OC ₁C ₂C and CD ₁D ₂D.

3) confirm to have the position of the inner fixed point in cover plate unit of the rotary circular retractable structure of fixed point of arc opening or broken line shape opening, with polar coordinate representation, the coordinate G at inner fixed point center, cover plate unit (ρ, design formulas θ) is following:

$\mathrm{\&rho;}=\frac{\mathrm{<figure-callout\; id="2"\; label="l"\; filenames="120119152243.png"\; state="\{\{state\}\}">l</figure-callout>}}{2\sin \frac{\mathrm{\&pi;}}{n}},$ $\mathrm{\&theta;}=\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2};$

Wherein the ρ representative is fixed a point to the distance of structure centre, the angle of θ representative fixed point and structure centre line and type fan-shaped cover plate elementary boundary;

Key for design is to guarantee to fix a point the zone within the border of cover plate unit, and then fixing a point the zone as if meeting the following conditions for class fan-shaped cover plate unit, camber line border and the fan-shaped cover plate of class unit, broken line border must be within elementary boundary:

$r(\sqrt{{(\cos (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)-(2m+1)\sin \frac{\mathrm{\&pi;}}{n})}^2+{(\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)+\sin \frac{\mathrm{\&pi;}}{n}\cot \frac{\mathrm{\&Phi;}}{2})}^2}-\sin \frac{\mathrm{\&pi;}}{n}/\sin \frac{\mathrm{\&Phi;}}{2})\&GreaterEqual;r_d$

|| || expression rounds the fractions omitted part to the numerical value in it.

In most cases, use fixed point zone that the design of above design parameters obtains within the border of the fan-shaped cover plate of class unit.If the fixed point zone situation within the cover plate elementary boundary not, can be on the initial value basis of opening angle Φ be that step-length progressively reduces the value of opening angle Φ and repeats above step with π/10n, up to the fixed point location at the cover plate elementary boundary with till interior.

4) confirm to connect between the cover plate unit cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _iPosition in the cover plate unit with polar coordinate representation, connects cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l, design formulas is following:

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin \left[(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})\right]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ $h_{\min }=r_d+\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2}$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

If connect cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l then connects cantilevered corner beam section JI _iParallel with polar axis shaft, obtain connecting cantilevered corner beam section JI thus _iAnother end points DI _I2, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iAxis join end to end, promptly connect cantilevered corner beam section JII _iAn end points DII _I1Be connected cantilevered corner beam section JI _iEnd points DI _I2Overlap, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2

If connect cantilevered corner beam section JI _iEnd points DI _I1Not at i piece class inside, fan-shaped cover plate unit or ρ ₁＞l then need reduce θ ₁, connect cantilevered corner beam section JII this moment _iBe connected cantilevered corner beam section JI _iAxis no longer continuous, under closure state, connect cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l:

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin [j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ j＝2，3，4…， $h_{\min }=r_d+\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2}$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

Progressively increase j until connecting cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l.Connect cantilevered corner beam section JII _iAn end points DII _I1Through connecting cantilevered corner beam section JI _iEnd points DI _I1Fixed point around the fan-shaped cover plate of i piece class unit is rotated counterclockwise the η angle earlier, and the 2 π/n angle that turns clockwise around the retractable structure center again obtains, and connects cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle still be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2, anglec of rotation η should satisfy for the first time:

$\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\sin \mathrm{\&alpha;}}\&le;{\mathrm{\&rho;}}_1\sin [\frac{\mathrm{\&eta;}}{2}-\frac{\mathrm{\&pi;}}{n}],$ $\mathrm{\&alpha;}=\frac{\mathrm{\&pi;}+\mathrm{\&eta;}}{2}-\mathrm{\&Phi;}-\frac{\mathrm{\&pi;}}{n}-j(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2});$

Connect cantilevered corner beam section JI during according to closure _iEnd points DI _I1To structure centre apart from r _jAnd connect radius R (R＞r that cantilevered corner beam section width b confirms structure when closed _j+ b/2), the value of R is unsuitable excessive.

Shown in Fig. 4 (f) and Fig. 5 (f), be the center of circle with polar coordinates initial point O, R is that radius is justified, and gets zone that circle and arc border or broken line shape border surrounded as the fan-shaped cover plate of class unit.

5) first group of connection cantilevered corner beam section JI accomplished in design ₁, connect cantilevered corner beam section JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁After, the connection cantilevered corner beam section JI of all the other each groups _i, connect cantilevered corner beam section JII _iWith the fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iCan connect cantilevered corner beam JI through first group accordingly ₁, connect cantilevered corner beam JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁2 π (the i-1)/n that turns clockwise around the retractable structure center obtains; The fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iThrough connecting cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _I-1With the fan-shaped cover plate of arc border class unit PA _I+1Or the fan-shaped cover plate of broken line shape border class unit PP _I+1Be connected the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Through connecting cantilevered corner beam section JI ₁, connect cantilevered corner beam section JII _nWith the fan-shaped cover plate of arc border class unit PA ₂Or the fan-shaped cover plate of broken line shape border class unit PP ₂Be connected the fan-shaped cover plate of arc border class unit PA _nOr the fan-shaped cover plate of broken line shape border class unit PP _nThrough connecting cantilevered corner beam section JI _n, connect cantilevered corner beam section JII _N-1With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Be connected, rotary circular retractable structure obtains fixing a point.

Embodiment 1

The central opening radius is 30000mm and the rotary circular retractable structure of the fixed point with arc opening when proposing unlatching of meter, and the cover plate unit number is 8.Design process is following:

1) known cover plate unit number n=8, central opening radius r=30000mm during unlatching, the initial value of choosing opening angle Φ are Φ=2 π/8-2 π/72=40 °, fixed point zone radius r _d=1000mm, the width b=3000mm of connection cantilevered corner beam section;

2) by

Get θ ₀=71 °, according to

Can get ρ ₀=35263mm satisfies ρ ₀∈ (r, ∞);

3) shown in Fig. 4 (a), be that polar axis shaft is set up polar coordinate system with the fan-shaped cover plate elementary boundary of class, with polar coordinates point O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc

Hand over polar axis shaft in the A point.Shown in Fig. 4 (b); With A is second section circular arc starting point; Drawing identical circular arc

is the 3rd section circular arc starting point with B; Draw identical circular arc

shown in Fig. 4 (c); Circular arc and

are turned over 45 ° counterclockwise, obtain circular arc

and

4) whether checking computations fixed points zone within the fan-shaped cover plate elementary boundary of class,

$\begin{array}{c}r(\sqrt{{(\cos (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)-(2m+1)\sin \frac{\mathrm{\&pi;}}{n})}^2+{(\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)+\sin \frac{\mathrm{\&pi;}}{n}\cot \frac{\mathrm{\&Phi;}}{2})}^2}-\sin \frac{\mathrm{\&pi;}}{n}/\sin \frac{\mathrm{\&Phi;}}{2})\\ =1177\mathrm{mm}>r_d=1000\mathrm{mm}\end{array}$

Therefore, fixed point is regional within the fan-shaped cover plate elementary boundary of class, the fixed point centre coordinate (ρ, θ) do,

$\mathrm{\&rho;}=\frac{\mathrm{<figure-callout\; id="2"\; label="r"\; filenames="120119152243.png"\; state="\{\{state\}\}">r</figure-callout>}}{2\sin \frac{\mathrm{\&Phi;}}{2}}=43857\mathrm{mm},$

5) fixed point center to cantilevered corner beam axis must satisfied minimum range h _MinBe h _Min=r _d+ b/2=2500mm connects cantilevered corner beam section JI _iAn end points coordinate DI _I1(ρ ₁, θ ₁) and connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength l do,

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})}=57314\mathrm{mm},$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n}=33567\mathrm{mm}$

Relatively can get ρ ₁＞l is so reduce θ ₁, get connection cantilevered corner beam section JI _iAn end points coordinate DI _I1(ρ ₁, θ ₁) do,

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin [i\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})]}=28684\mathrm{mm},$

Satisfy ρ ₁≤l is through checking computations joint angle beam section JI _iEnd points DI _I1Inner in the fan-shaped cover plate of i piece class unit, connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l=33567mm.

By $\frac{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="120119152243.png"\; state="\{\{state\}\}">b</figure-callout>}}{2\mathrm{Sin}\mathrm{\&alpha;}}\&le;{\mathrm{\&rho;}}_1\mathrm{Sin}[\frac{\mathrm{\&eta;}}{2}-\frac{\mathrm{\&pi;}}{n}],$ $\mathrm{\&alpha;}=\frac{\mathrm{\&pi;}+\mathrm{\&eta;}}{2}-\mathrm{\&Phi;}-\frac{\mathrm{\&pi;}}{n}-i(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2}),$ I=2 solves, η=52.9 °

Connect cantilevered corner beam section JII _iAn end points DII _I1Can be through connecting cantilevered corner beam section JI _iEnd points DI _I1Earlier inner fixed point is rotated counterclockwise 53 ° around the fan-shaped cover plate of i piece class unit, gets around to open structure centre and turn clockwise 45 ° and obtain again.Connect cantilevered corner beam section JII _iLength l=33567mm, and its be connected cantilevered corner beam section JI _iBetween angle be 135 °, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2

Connect cantilevered corner beam section JI when closed _iEnd points DI _I1To structure centre apart from r _jBe r _j=62514mm, the radius R=65000mm of structure satisfies R＞r when getting closure _j+ b/2=64014mm.

6) first group of connection cantilevered corner beam section JI accomplished in design ₁, connect cantilevered corner beam section JII ₁With the fan-shaped cover plate of arc border class unit PA ₁, the connection cantilevered corner beam section JI of all the other each groups _i, connect cantilevered corner beam section JII _iWith the fan-shaped cover plate of arc border class unit PA _iCan connect cantilevered corner beam JI through first group accordingly ₁, connect cantilevered corner beam JII ₁With the fan-shaped cover plate of arc border class unit PA ₁2 π (i-1)/8 that turn clockwise around the retractable structure center obtain; The fan-shaped cover plate of arc border class unit PA _iThrough connecting cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _I-1With the fan-shaped cover plate of arc border class unit PA _I+1Be connected the fan-shaped cover plate of arc border class unit PA ₁Through connecting cantilevered corner beam section JI ₁, connect cantilevered corner beam section JII ₈With the fan-shaped cover plate of arc border class unit PA ₂Be connected the fan-shaped cover plate of arc border class unit PA ₈Through connecting cantilevered corner beam section JI ₈, connect cantilevered corner beam section JII ₇With the fan-shaped cover plate of arc border class unit PA ₁Be connected, obtain having the rotary circular retractable structure of fixed point of arc opening.

Embodiment 2

The central opening radius is 30000mm and the rotary circular retractable structure of fixed point with broken line shape opening when proposing unlatching of meter, and the cover plate unit number is 6.Design process is following:

1) known cover plate unit number n=6, central opening radius r=30000mm during unlatching, the initial value of choosing opening angle Φ are Φ=2 π/6-2 π/54=53 °, fixed point zone radius r _d=1000mm, the width b=3000mm of connection cantilevered corner beam section;

2) by Get θ ₀=64 °, according to

Can get ρ ₀=34218mm satisfies ρ ₀∈ (r, ∞);

3) shown in Fig. 5 (a), be that polar axis shaft is set up polar coordinate system with the fan-shaped cover plate elementary boundary of class, with polar coordinates point O as circular arc starting point, (ρ ₀,-θ ₀) be the center of circle, make circular arc

Hand over polar axis shaft in the A point.Use broken line OA ₁A ₂A replaces circular arc

Shown in Fig. 5 (b), be second broken line starting point with A, draw identical broken line AB ₁B ₂B.Shown in Fig. 5 (c), with broken line OA ₁A ₂A and AB ₁B ₂B turns over 60 ° counterclockwise, obtains broken line OC ₁C ₂C and CD ₁D ₂D.

4) whether checking computations fixed points zone within elementary boundary,

$\begin{array}{c}r(\sqrt{{(\cos (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)-(2m+1)\sin \frac{\mathrm{\&pi;}}{n})}^2+{(\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)+\sin \frac{\mathrm{\&pi;}}{n}\cot \frac{\mathrm{\&Phi;}}{2})}^2}-\sin \frac{\mathrm{\&pi;}}{n}/\sin \frac{\mathrm{\&Phi;}}{2})\\ =497\mathrm{mm}>r_d=1000\mathrm{mm}\end{array}$

Therefore, the fixed point zone is outside elementary boundary.Gravity treatment opening angle Φ is Φ=53 °-2 * π/60=47 °

By

Get θ ₀=67 °, according to Can get ρ ₀=38390mm satisfies ρ ₀∈ (r, ∞);

$\begin{array}{c}r(\sqrt{{(\cos (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)-(2m+1)\sin \frac{\mathrm{\&pi;}}{n})}^2+{(\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})/\left(2\sin \frac{\mathrm{\&Phi;}}{2}\right)+\sin \frac{\mathrm{\&pi;}}{n}\cot \frac{\mathrm{\&Phi;}}{2})}^2}-\sin \frac{\mathrm{\&pi;}}{n}/\sin \frac{\mathrm{\&Phi;}}{2})\\ =1881\mathrm{mm}>r_d=1000\mathrm{mm}\end{array}$

At this moment, the fixed point zone is within elementary boundary, and (ρ θ) does the fixed point centre coordinate

$\mathrm{\&rho;}=\frac{\mathrm{<figure-callout\; id="2"\; label="r"\; filenames="120119152243.png"\; state="\{\{state\}\}">r</figure-callout>}}{2\sin \frac{\mathrm{\&Phi;}}{2}}=37618\mathrm{mm},$

5) fixed point center to cantilevered corner beam axis must satisfied minimum range h _MinBe h _Min=r _d+ b/2=2500mm connects cantilevered corner beam section JI _iAn end points coordinate DI _I1(ρ ₁, θ ₁) and connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength l do,

${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin (\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})}=22084\mathrm{mm},$

$l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n}=37618\mathrm{mm}$

Satisfy ρ ₁≤l is through checking computations joint angle beam section JI _iEnd points DI _I1Inner in the fan-shaped cover plate of i piece class unit.Therefore, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iAxis join end to end, promptly connect cantilevered corner beam section JII _iAn end points DII _I1Be connected cantilevered corner beam section JI _iEnd points DI _I2Overlap, connect cantilevered corner beam section JII _iLength l=37618mm, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle be 120 °, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2

Connect cantilevered corner beam section JI when closed _iEnd points DI _I1To structure centre apart from r _jBe r _j=3769mm, the radius R=56000mm of structure satisfies R＞r when getting closure _j+ b/2=55269mm.

6) first group of connection cantilevered corner beam section JI accomplished in design ₁, connect cantilevered corner beam section JII ₁With the fan-shaped cover plate of broken line shape border class unit PP ₁, the connection cantilevered corner beam section JI of all the other each groups _i, connect cantilevered corner beam section JII _iWith the fan-shaped cover plate of broken line shape border class unit PP _iCan connect cantilevered corner beam JI through first group accordingly ₁, connect cantilevered corner beam JII ₁With the fan-shaped cover plate of broken line shape border class unit PP ₁2 π (i-1)/6 that turn clockwise around the retractable structure center obtain; The fan-shaped cover plate of broken line shape border class unit PP _iThrough connecting cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _I-1With the fan-shaped cover plate of broken line shape border class unit PP _I+1Be connected the fan-shaped cover plate of broken line shape border class unit PP ₁Through connecting cantilevered corner beam section JI ₁, connect cantilevered corner beam section JII ₆With the fan-shaped cover plate of broken line shape border class unit PP ₂Be connected the fan-shaped cover plate of broken line shape border class unit PP ₆Through connecting cantilevered corner beam section JI ₆, connect cantilevered corner beam section JII ₅With the fan-shaped cover plate of broken line shape border class unit PP ₁Be connected, rotary circular retractable structure obtains fixing a point.

Claims (1)

1. One kind the fixed point rotary circular retractable structure preparation method, it is characterized in that its step is following:

   1) the rotary circular retractable structure of fixed point that has arc opening or broken line shape opening after selection is opened, and definite cover plate piece is counted n, opening angle Φ, unlatching back central opening radius r, fixed point zone radius r _d, connect cantilevered corner beam section width b;

   2) the fan-shaped cover plate of the class unit that has the rotary circular retractable structure of fixed point of arc opening or broken line shape opening after design is opened; Two radiuses of class fan-shaped cover plate unit with rotary circular retractable structure of fixed point of arc opening are made up of a plurality of arcs border, and two radiuses of the fan-shaped cover plate of class unit with rotary circular retractable structure of fixed point of broken line shape opening are made up of a plurality of broken line shapes border: the design formulas on the arc border of the fan-shaped cover plate of class unit is following:

   ${\mathrm{\&rho;}}_0\&CenterDot;\cos {\mathrm{\&theta;}}_0=r\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n},$ ρ ₀∈(r，∞)， ${\mathrm{\&theta;}}_0\&Element;(\frac{\mathrm{\&pi;}}{2}-\frac{\mathrm{\&Phi;}}{2},\frac{\mathrm{\&pi;}}{2}),$ $\mathrm{\&Phi;}\&le;\frac{2\mathrm{\&pi;}}{n};$

   ρ wherein ₀Be arc border radius corresponding, θ ₀Be the corresponding central angle in arc border;

   The broken line shape border of the fan-shaped cover plate of class unit is on the arc border, to get a little, and with straightway these points is connected successively;

   3) confirm to have the position of the inner fixed point in cover plate unit of the rotary circular retractable structure of fixed point of arc opening or broken line shape opening, with polar coordinate representation, the coordinate G at inner fixed point center, cover plate unit (ρ, design formulas θ) is following:

   $\mathrm{\&rho;}=\frac{l}{2\sin \frac{\mathrm{\&pi;}}{n}},$ $\mathrm{\&theta;}=\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2};$

   Wherein the ρ representative is fixed a point to the distance of structure centre, the angle of θ representative fixed point and structure centre line and type fan-shaped cover plate elementary boundary;

   4) confirm to connect between the cover plate unit cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _iPosition in the cover plate unit with polar coordinate representation, connects cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l, design formulas is following:

   ${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin \left[(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})\right]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ $h_{\min }=r_d+\frac{b}{2}$

   $l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

   If connect cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l then connects cantilevered corner beam section JI _iParallel with polar axis shaft, obtain connecting cantilevered corner beam section JI thus _iAnother end points DI _I2, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iAxis join end to end, promptly connect cantilevered corner beam section JII _iAn end points DII _I1Be connected cantilevered corner beam section JI _iEnd points DI _I2Overlap, connect cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2

   If connect cantilevered corner beam section JI _iEnd points DI _I1Not at i piece class inside, fan-shaped cover plate unit or ρ ₁＞l then need reduce θ ₁, connect cantilevered corner beam section JII this moment _iBe connected cantilevered corner beam section JI _iAxis no longer continuous, under closure state, connect cantilevered corner beam section JI _iAn end points coordinate be DI _I1(ρ ₁, θ ₁), connect cantilevered corner beam section JI _iBe connected cantilevered corner beam section JII _iLength be l:

   ${\mathrm{\&rho;}}_1=\frac{h_{\min }}{\sin [j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})]},$ ${\mathrm{\&theta;}}_1=[\mathrm{\&pi;}-j\&CenterDot;(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2})],$ j＝2，3，4…， $h_{\min }=r_d+\frac{b}{2}$

   $l=\frac{r}{\sin \frac{\mathrm{\&Phi;}}{2}}\&CenterDot;\sin \frac{\mathrm{\&pi;}}{n};$

   Progressively increase j until connecting cantilevered corner beam section JI _iEnd points DI _I1At i piece class inside, fan-shaped cover plate unit and ρ ₁Satisfy ρ ₁≤l.Connect cantilevered corner beam section JII _iAn end points DII _I1Through connecting cantilevered corner beam section JI _iEnd points DI _I1Fixed point around the fan-shaped cover plate of i piece class unit is rotated counterclockwise the η angle earlier, and the 2 π/n angle that turns clockwise around the retractable structure center again obtains, and connects cantilevered corner beam section JII _iBe connected cantilevered corner beam section JI _iBetween angle still be π-2 π/n, obtain connecting cantilevered corner beam section JII thus _iAnother end points DII _I2, anglec of rotation η should satisfy for the first time:

   $\frac{b}{2\sin \mathrm{\&alpha;}}\&le;{\mathrm{\&rho;}}_1\sin [\frac{\mathrm{\&eta;}}{2}-\frac{\mathrm{\&pi;}}{n}],$ $\mathrm{\&alpha;}=\frac{\mathrm{\&pi;}+\mathrm{\&eta;}}{2}-\mathrm{\&Phi;}-\frac{\mathrm{\&pi;}}{n}-j(\frac{\mathrm{\&pi;}}{n}-\frac{\mathrm{\&Phi;}}{2});$

   5) first group of connection cantilevered corner beam section JI accomplished in design ₁, connect cantilevered corner beam section JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁After, the connection cantilevered corner beam section JI of all the other each groups _i, connect cantilevered corner beam section JII _iWith the fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iCan connect cantilevered corner beam JI through first group accordingly ₁, connect cantilevered corner beam JII ₁With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁2 π (the i-1)/n that turns clockwise around the retractable structure center obtains; The fan-shaped cover plate of arc border class unit PA _iOr the fan-shaped cover plate of broken line shape border class unit PP _iThrough connecting cantilevered corner beam section JI _i, connect cantilevered corner beam section JII _I-1With the fan-shaped cover plate of arc border class unit PA _I+1Or the fan-shaped cover plate of broken line shape border class unit PP _I+1Be connected the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Through connecting cantilevered corner beam section JI ₁, connect cantilevered corner beam section JII _nWith the fan-shaped cover plate of arc border class unit PA ₂Or the fan-shaped cover plate of broken line shape border class unit PP ₂Be connected the fan-shaped cover plate of arc border class unit PA _nOr the fan-shaped cover plate of broken line shape border class unit PP _nThrough connecting cantilevered corner beam section JI _n, connect cantilevered corner beam section JII _N-1With the fan-shaped cover plate of arc border class unit PA ₁Or the fan-shaped cover plate of broken line shape border class unit PP ₁Be connected, rotary circular retractable structure obtains fixing a point.

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