CN101109353A - Method for calculating particular spiral casing expansion parameter - Google Patents
Method for calculating particular spiral casing expansion parameter Download PDFInfo
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- CN101109353A CN101109353A CNA2007100497175A CN200710049717A CN101109353A CN 101109353 A CN101109353 A CN 101109353A CN A2007100497175 A CNA2007100497175 A CN A2007100497175A CN 200710049717 A CN200710049717 A CN 200710049717A CN 101109353 A CN101109353 A CN 101109353A
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- groove
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- spiral case
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- scroll
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/20—Hydro energy
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Abstract
The invention discloses a calculation method for the evolution parameters of a special scroll, which comprises the following procedures: making the profile of the scroll section, calculating the scroll-evolution parameters with symmetric grooves; plotting a sectional diagram of any point on the sectional profile of the scroll, calculating respectively the length of the generating line of the neutral layer when the grooves are symmetric, the length of the generating line when the grooves are outer grooves, and the length of the generating line when the grooves are inner grooves; calculating respectively the spatial coordinate parameters of the section of the bigger end and that of the section of the smaller end. The invention can calculate the evolution parameters in the design of scroll section with spliced grooves containing inner and outer grooves, solves such quality problems as misrun of scroll section or too big weld seam gap possibly occurred when splicing scrolls, and provides scientific base for evolution and blanking of scroll sections.
Description
Technical field
The present invention relates to a kind of method for calculating particular spiral casing expansion parameter.
Background technique
The power station is the outlet unit of my company in certain state's water, be strict with in foreign side under the situation of quality of product, its seat ring spiral case is manufactured with some difficult points: at first, this special spiral case unwind need be regrouped in the non-type circle of spiral case, ellipse, big or small circular section; Secondly, shell joint splicing groove is designed to two kinds of groove types and (has been designed to outer groove on the stringcourse, be designed to internal groove under the stringcourse), and spiral case is transported to the building site welding after dividing 4 half assembly weldings, and the splicing groove of volute joint was designed to single symmetrical groove mostly in the past, so we have only considered to be this a kind of situation of symmetrical groove mostly when spiral case launches programming, but through our calculating of mapping, if the form difference of groove, blank size after it launches is then inequality, therefore, multi-form as not considering to splice groove, all by symmetrical groove unfolding and cutting, then in a joint shell joint, make two kinds of grooves after, quality problems such as shell joint misrun or weld gap be excessive can take place during the spiral case splicing, can not satisfy the production standard requirement, therefore the making of seat ring spiral case needs strictness by designing requirement, and ability blanking after shell joint expansion will carrying out groove is handled needs to calculate this particular spiral casing expansion parameter for this reason.
Summary of the invention
Goal of the invention of the present invention is to provide a kind of method for calculating particular spiral casing expansion parameter, quality problems such as the spiral case unfolding and cutting that contains inside and outside two kinds of groove types for the design of volute joint splicing groove provides scientific basis, and contingent shell joint misrun or weld gap be excessive when solving the spiral case splicing.
Goal of the invention of the present invention is achieved through the following technical solutions: method for calculating particular spiral casing expansion parameter, and it may further comprise the steps:
(1) makes spiral case cross section molded lines, calculate the spiral casing expansion parameter under the symmetrical groove condition;
(2) make the sectional drawing of arbitrary point on the molded lines of spiral case cross section, the neutrosphere bus when calculating groove respectively and be symmetrical groove is long, the bus when groove is outer groove is long and the bus of groove when being internal groove is long;
(3) calculate the space coordinates parameter of big end section and the space coordinates parameter of little end section respectively.
Further describe the detailed calculated process of above three steps below:
The section type line chart of power station spiral case is shown in Fig. 1 (a), Fig. 1 (b), Fig. 1 (c) in certain state's water, the A point is spiral case and seat ring point of contact in the molded lines of spiral case cross section, the AB section is a straightway, it is the elongation line of O2A and the tangent section of circular section, the BC segment table shows one section circular arc of roundlet, and then is the circular section of great circle.
As shown in Figure 1, ellipse, circle, big or small circular section molded lines that this spiral case cross section, power station molded lines is different from the past, the main feature in its cross section is that spiral case and seat ring butterfly limit dress welding position are equipped with one section straight section, and the straight section size in each cross section is also different, and, the triformed cross section of spiral case molded lines: round belt straight flange; Size round belt straight flange, but the little center of circle is on the big left side, the center of circle: big or small round belt straight flange, but the little center of circle is on the right, the big center of circle.
Spiral casing expansion parameter derivation thinking under the symmetry groove condition: at first according to the relevant data among spiral case single line drawing size, the seat ring figure, calculate the length (straight flange was checked data when this length also was the spiral case shaping) of every cross section friend's straight section earlier, then according to this length of straight flange and scroll casing shape linear dimension, calculate the data that the angle that each cross section orthodrome comprises, the angle that little circular arc comprises etc. launch needs.Derive the space coordinates parametric equation formula that spiral case launches according to linear formula of each section type and data at last.Cross section space coordinates parametric equation formula is as follows:
0≤q0≤Q1
x＝(r0+r1*cos(q0))*sin(a)
y＝(r0+r1*COs(qo))*cos(a)
z＝r1*sin(a)
Q1≤q0≤Q2
x＝xjx+r2*cos(q0))*sin(a)
y＝xjx+r2*Coo(q0))*cos(a)
z＝r2xjx*sin(q0)+xjy
Last point (promptly with tangent this point of seat ring) space coordinates parametric equation formula:
x＝(R-t/2*sin(55*3.14159/180))*sin(a)
y＝(R＝t/2*sin(55*3.14159/180))*sin(a)
z＝H+t/2*cos(55*3.14159/180)
In the formula, Q1 table orthodrome cornerite, Q2 table roundlet arc cornerite, q0 table equal diversion point is in the angle of this relative starting point in cross section, r0 shows the distance of the big center of circle to the seat ring center, and r2 shows little circle radius, and r1 shows big circle radius, a table section type wire clamp angle, xjx shows the distance at the little center of circle and seat ring center, and xjy shows the distance at the little center of circle and seat ring stringcourse center, t watchcase joint thickness of slab, H represents that seat ring half is high, and R represents the seat ring radius.
The spiral casing expansion parameter that the design of shell joint splicing groove contains inside and outside two kinds of groove types calculates:
We according to the form of spiral case splicing groove make spiral case cross section molded lines take up an official post meaning any generalized section as shown in Figure 2.Among Fig. 2, this end of Q2M represents that shell saves big end section, and Q1N is little end section, and EF table spiral case endothelium, NM spiral case neutrosphere, GH table spiral case crust, band hatching partly are spiral case natures behind the steel formability when being symmetrical groove.
Among Fig. 2, M (N) point: the neutrosphere point that big (little) end section splicing groove calculates when being symmetrical groove; M1 (N1) point: the neutrosphere point that big (little) end section splicing groove calculates when being outer groove: M2 (N2) point: the neutrosphere point that big (little) end section splicing groove calculates during for internal groove; HF2, EG2 straight line: when the splicing groove is internal groove, the big natural shaped state of (little) end section spiral case; H2F, E2G straight line: when the splicing groove is outer groove, the big natural shaped state of (little) end section spiral case; H1F1, E1G1 straight line: when the splicing groove is symmetrical groove, the big natural shaped state of (little) end section spiral case.
We are as can be seen from Fig. 2: the difference of bevel for welding form, shell joint neutrosphere bus is long also different, the long L1 of neutrosphere bus when to calculate the splicing groove earlier be symmetrical groove, when shell joint assembly joint groove is outer groove, the shell joint calculates bus length and deducts L2 and L3 for L1, obviously the bus L4 size during the wide symmetrical relatively groove of shell joint plate narrows down, when shell joint assembly joint groove is internal groove, calculate bus length and add L2 and L3 for L4, bus L1 size during than symmetrical groove broadens, and is very important so groove is handled.
It launched derivation after the shell joint was considered the splicing groove:
According to schematic representation 2, because the space coordinates parametric equation that Q1, N, Q2, M are ordered has all been tried to achieve when symmetrical groove is handled, now just can calculate the length of Q1N, Q1M, Q2M, Q2N, MN according to the space coordinates range formula, in triangle Q1MN, can obtain angle W2 value according to the triangle cosine law again, in triangle Q2MN, can obtain the W1 angle value.Release the parameter expression of asking L2, L3 length according to the diagram datum again: L2=ctg (W1) * t/2; L3=ctg (W2) * t/2, wherein t is a thickness of slab.According to similar triangle theory, obtain illustrating the space coordinates parameter expression of three kinds of splicing groove types again.
The space coordinates parametric equation formula of big end section is as follows, wherein gets plus sige when internal groove, gets minus sign during outer groove, neither adds also during symmetrical groove not subtract.
x’＝X
M±L2/L1*?(X
N-X
M)
Y’＝Y
M±L2/L1*?(Y
N-Y
M)
Z’＝Z
M±L2/L1*?(Z
N-Z
M)
The space coordinates parametric equation formula of little end section is as follows, wherein gets minus sign when internal groove, gets plus sige during outer groove, neither adds also during symmetrical groove not subtract.
x’＝X
N±L2/L1*?(X
N-X
M)
Y’＝Y
N±L2/L1*?(Y
N-Y
M)
Z’＝Z
N±L2/L1*?(Z
N-Z
M)
X in the following formula
M, Y
M, Z
MRepresent the spiral case 3 d space coordinate parameter that diagram M is ordered when the splicing groove is symmetrical groove; X
N, Y
N, Z
NThe 3 d space coordinate parameter of representing spiral case to order at diagram N when the splicing groove is symmetrical groove.
By top narration as can be seen, method for calculating particular spiral casing expansion parameter provided by the invention, can calculate the expansion parameter that the design of shell joint splicing groove contains inside and outside two kinds of groove types, quality problems such as spiral case contingent shell joint misrun of when splicing or weld gap be excessive have been solved, for the volute joint unfolding and cutting provides scientific basis.
Description of drawings
Fig. 1 spiral case cross section molded lines schematic representation
The generalized section of arbitrary point on the molded lines of Fig. 2 spiral case cross section
Embodiment
Further describe technological scheme of the present invention below in conjunction with accompanying drawing:
Fig. 1 (a), Fig. 1 (b), Fig. 1 (c) are the section type line chart of power station spiral case in certain state's water, and the A point is spiral case and seat ring point of contact in the molded lines of spiral case cross section, and the AB section is a straightway, and it is the elongation line of O2A and the tangent section of circular section.The BC segment table shows one section circular arc of roundlet, and then is the circular section of great circle.
By figure (1) as can be known, ellipse, circle, big or small circular section molded lines that this spiral case cross section, power station molded lines is different from the past, the main feature in its cross section is that spiral case and seat ring butterfly limit dress welding position are equipped with one section straight section, and the straight section size in each cross section is also different.And, the triformed cross section of spiral case molded lines: round belt straight flange; Size round belt straight flange, but the little center of circle is on the big left side, the center of circle: big or small round belt straight flange, but the little center of circle is on the right, the big center of circle.
Spiral casing expansion parameter derivation thinking under the symmetry groove condition: at first according to the relevant data among spiral case single line drawing size, the seat ring figure, calculate the length (straight flange was checked data when this length also was the spiral case shaping) of every cross section friend's straight section earlier, then according to this length of straight flange and scroll casing shape linear dimension, calculate the data that the angle that each cross section orthodrome comprises, the angle that little circular arc comprises etc. launch needs.Derive the space coordinates parametric equation formula that spiral case launches according to linear formula of each section type and data at last.Cross section space coordinates parametric equation formula is as follows:
0≤q0≤Q1
x＝(r0+r1*cos(q0))*sin(a)
y＝(r0+r1*COs(qo))*cos(a)
z＝r1*sin(a)
Q1≤q0≤Q2
x＝xjx+r2*cos(q0))*sin(a)
y＝xjx+r2*Coo(q0))*cos(a)
z＝r2xjx*sin(q0)+xjy
Last point (promptly with tangent this point of seat ring) space coordinates parametric equation formula:
x＝(R-t/2*sin(55*3.14159/180))*sin(a)
y＝(R-t/2*sin(55*3.14159/180))*sin(a)
z＝H+t/2*cos(55*3.14159/180)
In the formula, Q1 table orthodrome cornerite, Q2 table roundlet arc cornerite, q0 table equal diversion point is in the angle of this relative starting point in cross section, r0 shows the distance of the big center of circle to the seat ring center, and r2 shows little circle radius, and r1 shows big circle radius, a table section type wire clamp angle, xjx shows the distance at the little center of circle and seat ring center, and xjy shows the distance at the little center of circle and seat ring stringcourse center, t watchcase joint thickness of slab, H represents that seat ring half is high, and R represents the seat ring radius.
Fig. 2 is the generalized section of arbitrary point on the molded lines of spiral case cross section, and according to Fig. 2, the spiral casing expansion parameter computational process that the design of shell joint splicing groove contains inside and outside two kinds of groove types is as follows:
Among Fig. 2, this end of Q2M represents that shell saves big end section, and Q1N is little end section, and EF table spiral case endothelium, NM spiral case neutrosphere, GH table spiral case crust, band hatching partly are spiral case natures behind the steel formability when being symmetrical groove.
Among Fig. 2, M (N) point: the neutrosphere point that big (little) end section splicing groove calculates when being symmetrical groove; M1 (N1) point: the neutrosphere point that big (little) end section splicing groove calculates when being outer groove: M2 (N2) point: the neutrosphere point that big (little) end section splicing groove calculates during for internal groove; HF2, EG2 straight line: when the splicing groove is internal groove, the big natural shaped state of (little) end section spiral case; H2F, E2G straight line: when the splicing groove is outer groove, the big natural shaped state of (little) end section spiral case; H1F1, E1G1 straight line: when the splicing groove is symmetrical groove, the big natural shaped state of (little) end section spiral case.
We are as can be seen from Fig. 2: the difference of bevel for welding form, shell joint neutrosphere bus is long also different, the long L1 of neutrosphere bus when to calculate the splicing groove earlier be symmetrical groove, when shell joint assembly joint groove is outer groove, the shell joint calculates bus length and deducts L2 and L3 for L1, obviously the bus L4 size during the wide symmetrical relatively groove of shell joint plate narrows down, when shell joint assembly joint groove is internal groove, calculate bus length and add L2 and L3 for L4, bus L1 size during than symmetrical groove broadens, and is very important so groove is handled.
It launched derivation after the shell joint was considered the splicing groove:
According to schematic representation 2, because the space coordinates parametric equation that Q1, N, 02, M are ordered has all been tried to achieve when symmetrical groove is handled, now just can calculate the length of Q1N, Q1M, Q2M, Q2N, MN according to the space coordinates range formula, in triangle Q1MN, can obtain angle W2 value according to the triangle cosine law again, in triangle Q2MN, can obtain the W1 angle value.Release the parameter expression of asking L2, L3 length according to the diagram datum again: L2=ctg (W1) * t/2; L3=ctg (W2) * t/2, wherein t is a thickness of slab.According to similar triangle theory, obtain illustrating the space coordinates parameter expression of three kinds of splicing groove types again.
The space coordinates parametric equation formula of big end section is as follows, wherein gets plus sige when internal groove, gets minus sign during outer groove, neither adds also during symmetrical groove not subtract.
x’＝X
M±L2/L1*(X
N-X
M)
Y’＝Y
M±L2/L1*(Y
N-Y
M)
Z’＝Z
M±L2/L1*(Z
N-Z
M)
The space coordinates parametric equation formula of little end section is as follows, wherein gets minus sign when internal groove, gets plus sige during outer groove, neither adds also during symmetrical groove not subtract.
x’＝X
N±L2/L1*(X
N-X
M)
Y’＝Y
N±L2/L1*(Y
N-Y
M)
Z’＝Z
N±L2/L1*(Z
N-Z
M)
X in the following formula
M, Y
M, Z
MRepresent the spiral case 3 d space coordinate parameter that diagram M is ordered when the splicing groove is symmetrical groove; X
N, Y
N, Z
NThe 3 d space coordinate parameter of representing spiral case to order at diagram N when the splicing groove is symmetrical groove.
Claims (1)
1. method for calculating particular spiral casing expansion parameter is characterized in that it may further comprise the steps:
(1) makes spiral case cross section molded lines, calculate the spiral casing expansion parameter under the symmetrical groove condition;
(2) make the sectional drawing of arbitrary point on the molded lines of spiral case cross section, the neutrosphere bus when calculating groove respectively and be symmetrical groove is long, the bus when groove is outer groove is long and the bus of groove when being internal groove is long;
(3) calculate the space coordinates parameter of big end section and the space coordinates parameter of little end section respectively.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CNA2007100497175A CN101109353A (en) | 2007-08-10 | 2007-08-10 | Method for calculating particular spiral casing expansion parameter |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CNA2007100497175A CN101109353A (en) | 2007-08-10 | 2007-08-10 | Method for calculating particular spiral casing expansion parameter |
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| Publication Number | Publication Date |
|---|---|
| CN101109353A true CN101109353A (en) | 2008-01-23 |
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|---|---|---|---|
| CNA2007100497175A Pending CN101109353A (en) | 2007-08-10 | 2007-08-10 | Method for calculating particular spiral casing expansion parameter |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109871595A (en) * | 2019-01-28 | 2019-06-11 | 天津大学 | A kind of design method of spiral case |
| CN111102246A (en) * | 2020-01-07 | 2020-05-05 | 宁波方太厨具有限公司 | Volute profile generation method of centrifugal fan |
-
2007
- 2007-08-10 CN CNA2007100497175A patent/CN101109353A/en active Pending
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109871595A (en) * | 2019-01-28 | 2019-06-11 | 天津大学 | A kind of design method of spiral case |
| CN109871595B (en) * | 2019-01-28 | 2023-02-28 | 天津大学 | Design method of volute |
| CN111102246A (en) * | 2020-01-07 | 2020-05-05 | 宁波方太厨具有限公司 | Volute profile generation method of centrifugal fan |
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