CN100452065C - Method for designing and arranging template of arc-curved axis-rotating oval casing structure - Google Patents

Abstract

A design-composing method of template used on axle rotary arc curved egg form pool includes calculating actual curve of pool body, confirming layer number and height in layering construction, setting small and big opening radius at each layer, inputting allowable chord arc difference, calculating chord length based on said radius and said difference, calculating horizontal tangent arc length correspond to template at small opening and sector general arc length at small opening, calculating template group number according to said general arc length and said horizontal tangent arc length and calculating quantity and size of various template based on template width-increment.

Description

The method for designing and arranging template of arc-curved axis-rotating oval casing structure

Technical field

The template that the present invention relates to avette pond construction usefulness in a kind of sewage disposal system is calculated and row's plate method, particularly a kind of method of utilizing computing machine template selected in the egg-shaped pool construction to be optimized design.

Background technology

Settling basin in the sewage disposal system and digester are mainly based on right cylinder and ovoid (being also referred to as the egg type body), and oval digestion tank has very big advantage at technology, mechanics, aspect such as energy-conservation, and it is stressed rationally, volume is big and floor area is little so be used widely in sewage disposal system.

Because the volume of pond body is all very big, highly also very high, maximum gauge is more than 20 meters, and pond body maximum height can reach more than 40 meters.In practice of construction, because the pond body is hyperboloid at arbitrary height place, radius-of-curvature and cambered surface are all inequality, in the building course, be to adopt earlier the pond body to be divided into several layers, each layer installs and the pond body curved surface template of match mutually, and casting concrete carries out actual construction in template.1.5 meters whens height, more than 40 meters the time, need install 30 layers height nearly for general template height with respect to pond height degree.

Each layer template is made up of the polylith template, comprising several rectangle templates, trapezoid template and distortion trapezoid template are formed, by with the rectangle template of variant quantity, trapezoid template and/or distortion trapezoid template splice and combine into the elementary cell template, constitute and the actual curved surface of this layer pond body template group of match mutually.Every layer height is all inequality because of radius-of-curvature and cambered surface, and row's plate order and template size are all different.

As shown in Figure 1, every layer of template comprised many groups elementary cell template 1.In Fig. 2, amplify the synoptic diagram that has shown an elementary cell template.This unit template 1 comprises 10, trapezoid templates 20 of a rectangle template and a distortion trapezoid template 30.This elementary cell template comprises trapezoid template 20 and distortion trapezoid template 30 simultaneously in the present embodiment, but also can only select trapezoid template 20 or distortion trapezoid template 30 for use according to the actual curve situation.

This rectangle template 10 is standard forms, after construction finishes, can reclaim and continue to use, but trapezoid template 20 and 30 of trapezoid templates of distortion to carry out the specialized designs manufacturing according to the actual curved surface parameter of pond body, in case and this pond body construction finishes, then can't utilize at other different Chi Tizhong.Therefore, consider from the angle that reduces cost, the rectangle template of selection standard as much as possible in every layer of template group, and reduce the consumption of trapezoid template and distortion trapezoid template.

But, because be the actual curved surface that comes match pond body with plane template, certainly existing error between the two, this error mainly represented by string arc difference dh, this string arc difference equals the distance between the small-bore place string and arc in this layer, as shown in Figure 1.If the quantity of trapezoid template is very few, then the error between the actual curved surface of the curved surface of template group and pond body will increase, and promptly dh increases, and causes the decline of construction quality, even does not reach the construction quality acceptance requirement.Therefore should consider as a whole when determining the trapezoid template size, optimal design, realize general.

At present the calculating of template is adopted artificial calculating mostly with design, and because the workload of calculating is big, can't realize both reducing cost, can realize the optimization between the error minimum again, often can only by virtue of experience design or during actual at the construction field (site) assembly unit, run into when needing the distortion trapezoid template, replace, waste a large amount of timber with sawmilling side.

Summary of the invention

The object of the present invention is to provide the calculating and row's plate method of the avette pool body mould plate of a kind of hyperbolic cambered surface, can under the prerequisite that guarantees construction precision, reduce material cost, also can save a large amount of artificial.

To achieve these goals, the invention provides a kind of method for designing and arranging template of arc-curved axis-rotating oval casing structure, each layer template is spliced by many groups unit template, each unit template is made up of a rectangle template and/or trapezoid template and/or distortion trapezoid template, and this method may further comprise the steps:

A) go out actual pond body curve according to pond body designing and calculating, and the number of plies of definite construction in layer and floor height;

B) determine the little port radius and the big port radius of each layer then according to the number of plies and floor height;

C) the string arc of input permission is poor;

D) the osculum radius chord arc difference according to current layer number calculates chord length, and promptly rectangle template is at the width at osculum place;

E) according to the osculum radius r ₀, big port radius r ₁Calculate as the fan-shaped central angle St of anterior layer with current story height H;

F) according to chord length XL and osculum radius r ₀Calculate the pairing horizontal section arc length of osculum place rectangle template CL;

G) according to the osculum radius r ₀Calculate fan-shaped interior total arc length L at osculum place;

H) the horizontal section arc length CL of total arc length L of basis and osculum place rectangle template correspondence calculates the unit template group and counts N _Group

I) computing unit template length of side DL;

J) computing unit template broadening amount D _Width

K) according to unit template broadening amount D _WidthDetermine the quantity and the size of various templates;

L) repeat above-mentioned b)-k) step calculates the template parameter of each layer.

The method for designing and arranging template of above-mentioned arc-curved axis-rotating oval casing structure, wherein the trapezoid template minor face is wide is 0.1m, long hem width is 0.2m; Distortion trapezoid template minor face is wide to be 0.1m; Step k) in, if unit template broadening amount＜0.1m, then the unit template adds a distortion trapezoid template by a rectangle template and forms; If template broadening amount in unit equals 0.1m, then the unit template adds a trapezoid template by a rectangle template and forms; If unit template broadening amount＞0.1m, and＜0.2m, then the unit template adds a trapezoid template by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.1m simultaneously; If template broadening amount in unit equals 0.2m, then the unit template adds two trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.1m simultaneously; If unit template broadening amount＞0.2m, and＜0.3m, then the unit template adds two trapezoid templates by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.2m simultaneously; If template broadening amount in unit equals 0.3m, then the unit template adds three trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.2m simultaneously.

Utilize said method to calculate, thereby significantly reduce artificial amount of calculation, and string arc difference is easier to be controlled, thereby reach the purpose of optimal design with the template parameter and the type-setting mode of computer program to each layer.

Description of drawings

Fig. 1 is row's plate structure synoptic diagram of single tier templates of the present invention;

Fig. 2 is the enlarged diagram of an elementary cell template of the present invention; And

Fig. 3 is the process flow diagram of row's plate computing method of the present invention; And

Fig. 4 arranges the synoptic diagram of the eccentric circular ring of formation in the plane for single tier templates of the present invention.

Embodiment

The present invention is that the template of the avette pond of a kind of hyperbolic cambered surface body is calculated and row's plate method, goes out actual pond body curve according to pond body designing and calculating earlier, and the number of plies of definite construction in layer and story height H; Determine the osculum radius r of each layer then according to the number of plies and floor height ₀With big port radius r ₁The string arc difference dh that input allows; Osculum radius r according to current layer number ₀Chord arc difference dh calculates chord length, and promptly rectangle template is at the width XL at osculum place; According to the osculum radius r ₀, big port radius r ₁Calculate as the fan-shaped central angle St of anterior layer with current story height H; According to chord length XL and osculum radius r ₀Calculate the pairing horizontal section arc length of osculum place rectangle template CL; According to the osculum radius r ₀Calculate fan-shaped interior total arc length L at osculum place; Calculate the unit template group according to the horizontal section arc length CL of total arc length L and osculum place rectangle template correspondence and count N _GroupComputing unit template length of side DL; Computing unit template broadening amount D _WidthAccording to unit template broadening amount D _WidthDetermine the quantity and the size of various templates; Repeat the template parameter that said process calculates each layer then.

Fig. 3 has shown the process flow diagram of aforementioned calculation method.

Below will specifically explain the aforementioned calculation method.

Every layer of template as depicted in figs. 1 and 2 is made up of many groups unit template 1, and each unit template 1 comprises a rectangle template 10 and/or trapezoid template 20 and/or distortion trapezoid template 30.Minor face 31 width of the minor face 21 of trapezoid template 20 and distortion trapezoid template 30 all are 0.1m.Long limit 22 width of trapezoid template 20 are 0.2m.Long limit 32 width of distortion trapezoid template are determined by calculating between 0.1-0.2m.

The width of rectangle template 10 at small-bore place is that chord length XL is calculated by following formula:

$\mathrm{XL}=2R\sqrt{1-{(1-\frac{\mathrm{dh}}{r_0})}^2}$

XL-chord length in the following formula is represented this layer formwork erection place, the width of rectangle template

r ₀The little port radius of-template;

Dh-string arc is poor, the distance between small-bore place string and the arc

R-fan ring inside radius equals little port radius

As shown in Figure 4, fan ring is meant that all template of this layer arrange an eccentric circular ring of formation in the plane, and this fan encircles a central angle S _tCalculate by following formula:

$S_t=\frac{r_1-r_0}{H}\×360$

St-fan ring central angle in the following formula

r ₁Big mouthful of place of-template radius

r ₀-template osculum place radius

H-single tier templates height

The pairing horizontal section arc length of osculum place rectangle template CL is calculated by following formula:

$\mathrm{CL}=2R\·\arcsin \frac{\mathrm{XL}}{2r_0}$

R-fan ring inside radius equals little port radius in the following formula

The XL-chord length

r ₀The little port radius of-template;

Total arc length L is calculated by following formula in fan-shaped:

L＝2π·r ₀

The unit template group is counted N _GroupCalculate by following formula:

$N_{\mathrm{group}}=\frac{L}{\mathrm{CL}+0.1}$

Unit template length of side DL is calculated by following formula:

DL＝XL+0.1

Unit template broadening amount D _Width

$D_{\mathrm{width}}=2H\·\mathrm{tg}\left(\frac{S_t\·\mathrm{\π}}{360N_{\mathrm{group}}}\right)$

Template broadening amount in Dwidth-unit is meant in the following formula, the big hem width of unit template and little hem width poor.

Then according to the type-setting mode of the actual broadening amount determining unit template of unit template group.If unit template broadening amount＜0.1m, then the unit template adds a distortion trapezoid template by a rectangle template and forms; If template broadening amount in unit equals 0.1m, then the unit template adds a trapezoid template by a rectangle template and forms; If unit template broadening amount＞0.1m, and＜0.2m, then the unit template adds a trapezoid template by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.1m simultaneously; If template broadening amount in unit equals 0.2m, then the unit template adds two trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.1m simultaneously; If unit template broadening amount＞0.2m, and＜0.3m, then the unit template adds two trapezoid templates by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.2m simultaneously; If template broadening amount in unit equals 0.3m, then the unit template adds three trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.2m simultaneously.

During practice of construction, every layer installs inside and outside two-layer template, is cast between the two-layer template and carries out, and computing method are the same, only need to get final product according to the real radius numerical evaluation of ectonexine.

Below list specific embodiment, so that understand the principle of computing method of the present invention better.

Example 1: the known end radius 7.013m that waits to install the template place, top radius 7.891m, floor height is 1.5m, requires string arc difference to need in 0.01m.

Chord length XL=2 * 7.013 * sqrt (1-(1-0.01/7.013) ²)=0.74m, round up 0.7m.

Central angle St=(7.891-7.013)/1.5 * 360=210.72 degree

Horizontal section arc length CL=2 * 7.013 * arcsin (0.7/2/7.013)=0.70029m

Total arc length L=2 * 3.1415926 * 7.013=44.06398mm in fan-shaped

The unit template group is counted N _Group=44.06398/ (0.7+0.1)=55.080

Unit template length of side DL=0.7+0.1=0.8

Unit template broadening amount D _Width=2 * 1.5 * (210.72 * 3.1515926/360/55.080)=0.1002m approximates 0.1m.According to above-mentioned composition method, need a trapezoid template.

Therefore, this layer unit template group comprises a rectangle template and a trapezoid template, the wide 0.7m of rectangle template, trapezoid template broadening amount 0.1m.

Example 2: the known end radius 8.891m that waits to install the template place, top radius 9.691m, floor height is 1.5m, requires string arc difference to need in 0.01m.

Chord length XL=2 * 8.891 * sqrt (1-(1-0.01/8.891) ²)=0.84m, round up 0.8m.

Central angle St=(9.691-8.891)/1.5 * 360=192 degree

Horizontal section arc length CL=2 * 8.891 * arcsin (0.8/2/8.891)=0.80027m

Total arc length L=2 * 3.1415926 * 8.891=55.86380mm in fan-shaped

The unit template group is counted N _Group=55.86380/ (0.8+0.1)=62.071

Unit template length of side DL=0.8+0.1=0.9

Unit template broadening amount D _Width=2 * 1.5 * (192 * 3.1515926/360/62.071)=0.081m.According to above-mentioned composition method, need a distortion trapezoid template.

Therefore, this layer unit template group comprises a rectangle template and a distortion trapezoid template, the wide 0.8m of rectangle template, distortion trapezoid template broadening amount 0.081m.

Example 3: the known end radius 5.038m that waits to install the template place, top radius 6.061m, floor height is 1.5m, requires string arc difference to need in 0.01m.

Chord length XL=2 * 5.038 * sqrt (1-(1-0.01/5.038) ²)=0.64m, round up 0.6m.

Central angle St=(6.061-5.038)/1.5 * 360=245.52 degree

Horizontal section arc length CL=2 * 5.038 * arcsin (0.6/2/5.038)=0.05958m

Total arc length L=2 * 3.1415926 * 5.038=31.65469mm in fan-shaped

The unit template group is counted N _Group=31.65469/ (0.6+0.1)=45.22

Unit template length of side DL=0.6+0.1=0.7

Unit template broadening amount D _Width=2 * 1.5 * (245.52 * 3.1515926/360/45.22)=0.142m.According to above-mentioned composition method, need a trapezoid template and a distortion trapezoid template, simultaneously the rectangle template width is reduced 0.1m, be 0.5m.

Therefore, this layer unit template group comprises a rectangle template, a trapezoid template and a distortion trapezoid template, the wide 0.5m of rectangle template, distortion trapezoid template broadening amount 0.042m.

Example 4: the known end radius 2.798m that waits to install the template place, top radius 3.949m, floor height is 1.5m, requires string arc difference to need in 0.01m.

Chord length XL=2 * 2.798 * sqrt (1-(1-0.01/2.798) ²)=0.47m, round up 0.5m.

Central angle St=(3.949-2.798)/1.5 * 360=276.24 degree

Horizontal section arc length CL=2 * 2.798 * arcsin (0.5/2/2.798)=0.5007m

Total arc length L=2 * 3.1415926 * 2.798=17.58035mm in fan-shaped

The unit template group is counted N _Group=17.58035/ (0.5+0.1)=29.30

Unit template length of side DL=0.5+0.1=0.6

Unit template broadening amount D _Width=2 * 1.5 * (276.24 * 3.1515926/360/29.30)=0.247m.According to above-mentioned composition method, need two trapezoid templates and a distortion trapezoid template, simultaneously the rectangle template width is reduced 0.2m, be 0.3m.

Therefore, this layer unit template group comprises a rectangle template, two trapezoid templates and a distortion trapezoid template, the wide 0.3m of rectangle template, distortion trapezoid template broadening amount 0.047m.

Above-mentionedly respectively organize the group number that the unit template calculates and not to be integer, after the template that is about to the integer group will sequence, also remain a splaying.This gap is now made a plank according to physical size at the construction field (site) temporarily and is filled and get final product.Because every layer only can exist a gap, therefore only need mend a plank, can not cause difficulty to the work of whole row's plate.

More than explanation and description only are the embodiments that adopts for those skilled in the art can understand the present invention better, protection scope of the present invention are not construed as limiting.Under the situation that does not break away from claim scope required for protection, the present invention can carry out any correction and change.

Claims (2)

1. the method for designing and arranging template of an arc-curved axis-rotating oval casing structure, each layer template is spliced by many groups unit template, each unit template is made up of a rectangle template and/or trapezoid template and/or distortion trapezoid template, it is characterized in that: may further comprise the steps:

A) go out actual pond body curve according to pond body designing and calculating, and the number of plies of definite construction in layer and floor height;

B) determine the little port radius and the big port radius of each layer then according to the number of plies and floor height;

C) the string arc of input permission is poor;

D) the osculum radius chord arc difference according to current layer number calculates chord length, and promptly rectangle template is at the width at osculum place;

E) calculate when the fan-shaped central angle of anterior layer according to little port radius, big port radius and current floor height;

F) calculate the pairing horizontal section arc length of osculum place rectangle template according to chord length and osculum radiuscope;

G) calculate total arc length in osculum place fan-shaped according to the osculum radiuscope;

H) the horizontal section arc length according to total arc length and osculum place rectangle template correspondence calculates unit template group number;

I) the computing unit template length of side;

J) computing unit template broadening amount;

K) determine the quantity and the size of various templates according to unit template broadening amount;

L) repeat above-mentioned b)-k) step calculates the template parameter of each layer.

2. the method for designing and arranging template of arc-curved axis-rotating oval casing structure as claimed in claim 1 is characterized in that: the trapezoid template minor face is wide to be 0.1m, and long hem width is 0.2m; Distortion trapezoid template minor face is wide to be 0.1m; Step k) in, if unit template broadening amount＜0.1m, then the unit template adds a distortion trapezoid template by a rectangle template and forms; If template broadening amount in unit equals 0.1m, then the unit template adds a trapezoid template by a rectangle template and forms; If unit template broadening amount＞0.1m, and＜0.2m, then the unit template adds a trapezoid template by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.1m simultaneously; If template broadening amount in unit equals 0.2m, then the unit template adds two trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.1m simultaneously; If unit template broadening amount＞0.2m, and＜0.3m, then the unit template adds two trapezoid templates by a rectangle template and adds a distortion trapezoid template and form, and the width with rectangle template reduces 0.2m simultaneously; If template broadening amount in unit equals 0.3m, then the unit template adds three trapezoid templates by a rectangle template and forms, and the width with rectangle template reduces 0.2m simultaneously.

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