CN109622905A - A kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method - Google Patents
A kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method Download PDFInfo
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- CN109622905A CN109622905A CN201910121075.8A CN201910121075A CN109622905A CN 109622905 A CN109622905 A CN 109622905A CN 201910121075 A CN201910121075 A CN 201910121075A CN 109622905 A CN109622905 A CN 109622905A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/12—Accessories for subsequent treating or working cast stock in situ
- B22D11/1226—Accessories for subsequent treating or working cast stock in situ for straightening strands
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Abstract
The invention belongs to bloom continuous casting production fields, and in particular to a kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method.Withdrawal straightening machine high-order moment convex roller design feature of the invention be the body of roll using sectional curve including marginal zone, high-order moment curve area and plain-barreled roll district's groups at, high-order moment curve area's curve is that 3-5 order polynomial Drawing of Curve forms by most high order, marginal zone is the straight line engaged with high-order moment curve area, opposite edges area, plain-barreled roll area is in convex shape, is the straight line engaged with the high-order moment curve area other end.Bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method provided by the invention, slab central dense degree, which can be increased substantially, makes the center porosity (segregation) of slab that can be effectively controlled, and smooth curve transition can effectively avoid face crack caused by concentrating because of transition region stress, enhance the control ability to casting blank shape, while transition region curve digitization is conducive to processing and manufacturing.
Description
Technical field
The invention belongs to bloom continuous casting production fields, and in particular to a kind of bloom continuous casting withdrawal straightening machine high-order moment is bent
Line convex roller design method.
Background technique
The pressure of withdrawal straightening machine casting roll is mostly used to complete solidification end soft reduction process in bloom continuous casting production process, in order to apply
Heavy reduction, most of bloom continuous casting withdrawal straightening machines are required to change by improving hydraulic device ability to improve green compact ability
It is larger to make expense.According to the Solidification Characteristics of bloom, wick-containing is taper, therefore during solidification end pressure, slab becomes
Shape drag is concentrated mainly on two sides green shell.Therefore, it if can be depressed using the slab of intermediate projections, can will be acted under roll-in
Power concentrates on the central area of slab, to significantly improve pressure efficiency.
According to this theory, researcher both domestic and external proposes that a variety of convex rollers designs are real with, application method and related process
It applies.Such as: the scholar at South Korea Pu proposes double 1/4 rounded transitional camber convex roller (ISIJ International, Vol.52
(2012), No.7, pp.1266-1272).This structure is mainly characterized by: the region 300mm is convex among the roller of diameter 450mm
The face of rising, double 1/4 rounded transitional arcs that wherein radius between crowning and plane is 40mm.This structure can significantly improve wick-containing
Extrusion capability, it was reported that the drafts of improved 14mm can achieve the technological effect that preceding 30mm drafts is transformed.However,
This design organization will inevitably cause the stress at double 1/4 rounded transitional arc positions to be concentrated, to cause slab corner
Crackle.
Patent application CN107537987A " combination of continuous casting alloy steel bloom convex and weight soft reduction process ", is closed for continuous casting
Golden steel bloom proposes the convex roller that gradual curvature has boss and constant curvature without boss convex roller, solves the center portion of continuous casting billet
Quality problems；Patent application CN106001475A " continuous casting alloy steel bloom gradual curvature convex roller and weight soft reduction process ", mentions
The high-alloy steel continuous casting billet using gradual curvature convex equipment, weight soft reduction process production specification 380mm × 490mm is gone out, through it
Low power is examined to show that the center portion quality of continuous casting billet is obviously improved, quality is stablized.
Bicircular arcs formula and gradual curvature formula used by the studies above, due to not providing equation processing difficulties and roller column
Curve is unable to get effective control, and it has been known however to the tool with convex roller that convex roller, which improves situation to the center portion of slab, at present
There is also deficiencies for body design method.
Summary of the invention
In order to overcome the above-mentioned deficiencies of the prior art, purpose provided by the invention is that the present invention provides a kind of bloom company
Withdrawal straightening machine high-order moment curve convex roller design method is cast, in the case where guaranteeing that process stabilizing is implemented with continuous casting billet quality,
The implementation that rational design is conducive to fabricate and meet various soft reduction process is carried out to convex roller.
To achieve the goals above, technical scheme is as follows:
A kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method, withdrawal straightening machine high-order moment convex
The body of roll of roller use sectional curve, including marginal zone, high-order moment curve area and plain-barreled roll district's groups at；
High-order moment curve area's curve is that 3-5 order polynomial Drawing of Curve forms by most high order；
The marginal zone is the straight line engaged with high-order moment curve area, and opposite edges area, plain-barreled roll area is in convex shape, is
The straight line engaged with the high-order moment curve area other end.
A kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method as described in claim 1,
Preferred embodiment is the polynomial curve of piecewise function, and roll shape function is as follows:
In formula, y (x) is the roll shape function of the convex roller body of roll, unit mm；
y1It (x) is body of roll left side edge area constant value roll shape function, y1(x)=lc1Unit is mm；
y2It (x) is high-order moment curve area 3-5 order polynomial roll shape function on the left of the body of roll, y2(x)=A3x3+A2x2+A1x
+c
Or y2(x)=A4x4+A3x3+A2x2+A1x+c
Or y2(x)=A5x5+A4x4+A3x3+A2x2+A1X+c unit is mm；
y3It (x) is body of roll plain-barreled roll area constant value roll shape function, y3(x)=lqUnit is mm；
y4It (x) is high-order moment curve area 3-5 order polynomial roll shape function on the right side of the body of roll, y4(x)=B3x3+B2x2+B1x
+c
Or y4(x)=B4x4+B3x3+B2x2+B1x+c
Or y4(x)=B5x5+B4x4+B3x3+B2x2+B1X+c unit is mm；
y5It (x) is body of roll right side edge area constant value roll shape function, y5(x)=lc2Unit is mm；
X is body of roll coordinate, unit mm；
A1、A2、A3、A4、A5For roll shape coefficient, unit mm；
B1、B2、B3、B4、B5For roll shape coefficient, unit mm；
C is intercept, unit mm；
s0Away from origin horizontal offset, unit mm；
lc1Left side edge area horizontal length, unit mm；
lc2Right side edge area horizontal length, unit mm；
ls1Left side high-order moment curve area horizontal length, unit mm；
ls2Right side high-order moment curve area horizontal length, unit mm；
lqPlain-barreled roll area horizontal length, unit mm；
L is working roll barrel length, unit mm；
Pass through given working roll barrel length l, left side edge area horizontal length lc1, right side edge area horizontal length lc2,
Left side high-order moment curve area horizontal length ls1, right side high-order moment curve area horizontal length ls2, plain-barreled roll area horizontal length
lqAnd roller diameter D, diameter of axle d, the convex roller is drawn substantially, requires the height to the convex roller further according to live actual process
Order polynomial curve pattern is specifically drawn, and the curve drawn is carried out fitting of a polynomial, is selected according to actual processing request
Most high order 3-6 order polynomial curve is taken to further determine that A1、A2、A3、A4、A5、B1、B2、B3、B4、B5, the parameters such as c, s0Away from origin water
Flat offset can be chosen according to actual processing request；
The convex roller roller curve can be determined and be added according to the parameter that above various and live processing is chosen
Work.
The invention has the benefit that can increase substantially slab central dense degree makes the center porosity (segregation) of slab
It can be effectively controlled, and smooth curve transition can effectively avoid face crack caused by concentrating because of transition region stress,
Enhance the control ability to casting blank shape, while transition region curve digitization is conducive to processing and manufacturing.
Detailed description of the invention
Fig. 1 is convex roll structure figure；
Fig. 2 is high-order moment curve area on the left of the working roll body of roll；
Fig. 3 is high-order moment curve area on the right side of the working roll body of roll.
Specific embodiment
Further detailed specific description is carried out to the embodiment of the present invention below in conjunction with attached drawing.
Embodiment 1
As shown in Figure 1, giving working roll barrel length l=500mm, left and right side marginal zone horizontal length when roll design
lc1=lc2=110mm, left and right side high-order moment curve area horizontal length ls1=ls2=70mm, plain-barreled roll area horizontal length lq=
140mm and roller diameter D=560mm, diameter of axle d=500mm, away from origin horizontal offset s0=0, given parameters pair are combined in next step
High-order moment curve regions are drawn.
As shown in Figures 2 and 3, working roll high-order moment curve area body of roll shape is extracted, roll shape function is fitted, is obtained
To roll shape function:
Wherein: y2(x)=A3x3+A2x2+A1x+c
Or y2(x)=A4x4+A3x3+A2x2+A1x+c
Or y2(x)=A5x5+A4x4+A3x3+A2x2+A1x+c
y4(x)=B3x3+B2x2+B1x+c
Or y4(x)=B4x4+B3x3+B2x2+B1x+c
Or y4(x)=B5x5+B4x4+B3x3+B2x2+B1x+c
Embodiment described above is merely preferred embodiments of the present invention, and protection scope of the present invention is not limited to
This, anyone skilled in the art within the technical scope of the present disclosure, the technical side that can be become apparent to
The simple change or equivalence replacement of case, all belong to the scope of protection of the present invention within.
Claims (2)
1. a kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method, it is characterised in that: withdrawal straightening machine high order
The body of roll of multinomial convex roller use sectional curve, including marginal zone, high-order moment curve area and plain-barreled roll district's groups at；
High-order moment curve area's curve is that 3-5 order polynomial Drawing of Curve forms by most high order；
The marginal zone is the straight line engaged with high-order moment curve area, and opposite edges area, plain-barreled roll area is in convex shape, is and height
The straight line of order polynomial curve area's other end engagement.
2. a kind of bloom continuous casting withdrawal straightening machine high-order moment curve convex roller design method according to claim 1,
Be characterized in that: the polynomial curve of piecewise function, roll shape function are as follows:
In formula, y (x) is the roll shape function of the convex roller body of roll, unit mm；
y1It (x) is body of roll left side edge area constant value roll shape function, y1(x)=lc1Unit is mm；
y2It (x) is high-order moment curve area 3-5 order polynomial roll shape function on the left of the body of roll,
y2(x)=A3x3+A2x2+A1x+c
Or y2(x)=A4x4+A3x3+A2x2+A1x+c
Or y2(x)=A5x5+A4x4+A3x3+A2x2+A1X+c unit is mm；
y3It (x) is body of roll plain-barreled roll area constant value roll shape function, y3(x)=lqUnit is mm；
y4It (x) is high-order moment curve area 3-5 order polynomial roll shape function on the right side of the body of roll,
y4(x)=B3x3+B2x2+B1x+c
Or y4(x)=B4x4+B3x3+B2x2+B1x+c
Or y4(x)=B5x5+B4x4+B3x3+B2x2+B1X+c unit is mm；
y5It (x) is body of roll right side edge area constant value roll shape function, y5(x)=lc2Unit is mm；
X is body of roll coordinate, unit mm；
A1、A2、A3、A4For roll shape coefficient, unit mm；
B1、B2、B3、B4For roll shape coefficient, unit mm；
C is intercept, unit mm；
s0Away from origin horizontal offset, unit mm；
lc1Left side edge area horizontal length, unit mm；
lc2Right side edge area horizontal length, unit mm；
ls1Left side high-order moment curve area horizontal length, unit mm；
ls2Right side high-order moment curve area horizontal length, unit mm；
lqPlain-barreled roll area horizontal length, unit mm；
L is working roll barrel length, unit mm；
Pass through given working roll barrel length l, left side edge area horizontal length lc1, right side edge area horizontal length lc2, left side
High-order moment curve area horizontal length ls1, right side high-order moment curve area horizontal length ls2, plain-barreled roll area horizontal length lqWith
And roller diameter D, diameter of axle d, the convex roller is drawn substantially, is required further according to live actual process more to the high order of the convex roller
Item formula curve pattern is specifically drawn, and the curve drawn is carried out fitting of a polynomial, is chosen most according to actual processing request
High order 3-5 order polynomial curve further determines that A1、A2、A3、A4、B1、B2、B3、B4, the parameters such as c, s0Away from origin horizontal offset
It can be chosen according to actual processing request；
The convex roller roller curve can be determined and be processed according to the parameter that above various and live processing is chosen.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910121075.8A CN109622905B (en) | 2019-02-19 | 2019-02-19 | Design method of high-order polynomial curve convex roller of bloom continuous casting withdrawal and straightening unit |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910121075.8A CN109622905B (en) | 2019-02-19 | 2019-02-19 | Design method of high-order polynomial curve convex roller of bloom continuous casting withdrawal and straightening unit |
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| CN109622905A true CN109622905A (en) | 2019-04-16 |
| CN109622905B CN109622905B (en) | 2020-02-21 |
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|---|---|---|---|
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112157235A (en) * | 2020-09-11 | 2021-01-01 | 北京科技大学 | Convex press-down roller at solidification tail end of continuous casting slab and preparation process thereof |
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|---|---|---|---|---|
| JPH0691309A (en) * | 1992-09-11 | 1994-04-05 | Nippon Steel Corp | Work roll and cold tandem mill using the same |
| CN1150068A (en) * | 1995-11-10 | 1997-05-21 | 东北重型机械学院南校 | Roller shape of axial movement capable of changing roll pass concavity and shape |
| JP2009125784A (en) * | 2007-11-27 | 2009-06-11 | Sanyo Special Steel Co Ltd | Hump of roll for assel mill |
| EP2620237A2 (en) * | 2012-01-24 | 2013-07-31 | Siemens VAI Metals Technologies GmbH | Guide roller and strand guide for a strand casting machine |
| CN104399924A (en) * | 2014-11-20 | 2015-03-11 | 东北大学 | Gradient curvature raised roller of tension leveler for cogged ingot continuous casting and use method |
| CN204584215U (en) * | 2015-02-27 | 2015-08-26 | 新日铁住金工程技术株式会社 | Slighter compress roller and slighter compress device |
| CN106001475A (en) * | 2016-06-07 | 2016-10-12 | 东北特钢集团大连特殊钢有限责任公司 | Gradually-varied-curvature convex roller for continuously-cast alloy steel bloom, and heavy reduction process |
| CN107377919A (en) * | 2017-07-20 | 2017-11-24 | 东北大学 | A kind of method for improving bearing steel strand central dense degree |
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2019
- 2019-02-19 CN CN201910121075.8A patent/CN109622905B/en active Active
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0691309A (en) * | 1992-09-11 | 1994-04-05 | Nippon Steel Corp | Work roll and cold tandem mill using the same |
| CN1150068A (en) * | 1995-11-10 | 1997-05-21 | 东北重型机械学院南校 | Roller shape of axial movement capable of changing roll pass concavity and shape |
| JP2009125784A (en) * | 2007-11-27 | 2009-06-11 | Sanyo Special Steel Co Ltd | Hump of roll for assel mill |
| EP2620237A2 (en) * | 2012-01-24 | 2013-07-31 | Siemens VAI Metals Technologies GmbH | Guide roller and strand guide for a strand casting machine |
| CN104399924A (en) * | 2014-11-20 | 2015-03-11 | 东北大学 | Gradient curvature raised roller of tension leveler for cogged ingot continuous casting and use method |
| CN204584215U (en) * | 2015-02-27 | 2015-08-26 | 新日铁住金工程技术株式会社 | Slighter compress roller and slighter compress device |
| CN106001475A (en) * | 2016-06-07 | 2016-10-12 | 东北特钢集团大连特殊钢有限责任公司 | Gradually-varied-curvature convex roller for continuously-cast alloy steel bloom, and heavy reduction process |
| CN107377919A (en) * | 2017-07-20 | 2017-11-24 | 东北大学 | A kind of method for improving bearing steel strand central dense degree |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112157235A (en) * | 2020-09-11 | 2021-01-01 | 北京科技大学 | Convex press-down roller at solidification tail end of continuous casting slab and preparation process thereof |
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| CN109622905B (en) | 2020-02-21 |
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