CN104707870A - Hot rolling flattening machine working roll forming design method based on multi-segment roll forming curve fitting - Google Patents
Hot rolling flattening machine working roll forming design method based on multi-segment roll forming curve fitting Download PDFInfo
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- CN104707870A CN104707870A CN201510013237.8A CN201510013237A CN104707870A CN 104707870 A CN104707870 A CN 104707870A CN 201510013237 A CN201510013237 A CN 201510013237A CN 104707870 A CN104707870 A CN 104707870A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
- B21B37/30—Control of flatness or profile during rolling of strip, sheets or plates using roll camber control
Abstract
The invention relates to a working roll forming design method, and by means of the method, flattening machine working roll rolling kilometers can be increased, and the product strip shape quality can be improved. To be specific, according to the method, on a hot rolling flattening machine without using roll shaft axial displacement, by conducting design for working roll forming curves, the aims that the hot rolling flattening machine working roll rolling kilometers are increased, and the strip shape quality is improved are achieved. By the method of superimposing a compensating curve onto a working roll initial forming curve, a special working roll forming curve is formed. A working roll initial forming curve coefficient is determined according to the strip shape control capability of the flattening machine and the practical production condition at the site, while parameters of all segments of the compensating curve are mainly determined through positions and dimensions for compensating abrasion of rollers and curve characteristics, and when the two groups of curves are determined, multi-segment functions are superposed as per different zones. The practical application indicates that by means of the hot rolling flattening machine working roll forming technology, the rolling kilometers of the working roll can be effectively increased, the strip shape quality can be improved, and the production cost can be reduced.
Description
Technical field:
The present invention relates to metallurgical machinery, automation and rolling technique, specifically refer to a kind of by multistage curve and ground conth superimposed, thus improve the shape of working roll method for designing of hot rolling and leveling machine working roll rolling milimeter number and product strip shape quality.
Background technology:
On hot-rolled leveling machine production line, it is relevant that the plate shape of belt steel product mainly carries roll gap shape with milling train.Affecting the factor of milling train carrying roll gap shape, to mainly contain two: one be roll forming of the roll, and two is elastic deformations of roll.The former is by the decision such as thermal deformation of the ground conth of roll, the wearing and tearing of roll and roll, and the load that the latter and milling train bear is relevant.For different milling trains, they are different to the influence degree of roll gap, need to study for concrete rolling mill type.
Research object is herein hot rolling and leveling machine.In the process that hot rolling and leveling machine is produced at band steel role be impose to the hot-strip of cool to room temperature about 0.5% ~ 3% small deformation, for eliminating yield point elongation, improving mechanical property, simultaneously can also improve plate shape.
But in actual production, because hot-strip did not both cool in formation process, also do not lubricate, planisher working roll there will be very serious uneven wear; The roll-force of planisher is smaller on the other hand, and cause the elastic deformation of roll also less, therefore, the impact of roll wear on roll gap and plate shape thereof is more outstanding, badly influences the plate shape regulating effect of planisher and the rolling milimeter number of working roll.
Fewer about the research of hot rolled strip steel leveling roll wear problem at present, need to study targetedly the wearing and tearing of hot rolled strip steel leveling working roll, to extend rolling milimeter number, the reduction roller consumption of planisher working roll and to improve plate shape.
Analyze the course of work of planisher: in formation process, because smooth power is less, and smooth speed is low, and between working roll and band steel, coefficient of friction is low, so the wear extent of central region should be very little; Directly carry out smooth because hot-strip is unprocessed, and the degree of batching rear band steel each location contacts air in coil of strip hot rolling production process is different, cooling velocity after the chemical composition of hot-strip, rolling temperature, rolling and coiling temperature also different, the difference of the structure of the iron scale after this causes hot rolling reeling, belt steel surface generated, thickness and character, namely with coiled strip steel in width range and upper and lower two the surperficial composition of oxide, differences of heterogeneous microstructure.Fig. 1 is on-the-spot Surfaces of Hot Rolled Strip iron scale distribution situation figure.Be brown iron oxide skin in the middle part of band steel, the iron scale mainly formed after section cooling after band steel goes out mm finishing mill unit, its composition is mainly Fe
2o
3; And steel edge portion is blue-black iron scale, it is formed under naturally cooling after high temperature coiling, and because steel roll rim more can touch oxygen than center, so the oxide components more complicated of edge, its composition is mainly Fe
2o
3and Fe
3o
4.Due to Fe
3o
4hardness be Fe
2o
3doubly, the regions wear that this oxide components and the difference of structure cause subsequent hot rolled skin pass mill group working roll body of roll direction corresponding from steel edge portion is different with central region for the 5-6 of hardness.Therefore, many than central region serious wear of the wearing and tearing of steel edge portion position, finally cause the distribution in " W " shape of planisher working roller abrasion, as shown in Figure 2.The serious uneven wear problem of this working roll can cause the planisher working roll military service later stage to produce complex wave, affects the strip shape quality of product.In actual production, can only solve by reducing the frequent roll change of rolling milimeter number.This way greatly reduces the production efficiency of production line, and ton steel cost increases substantially simultaneously.
Although have some achievements in research at present in hot rolling and leveling machine working roller abrasion problem, but the research mainly still concentrated on by regulating the methods such as the size of milling train roll shifting and bending roller force to improve working roller abrasion, as document 1 (uneven wear of hot rolled strip steel leveling working roll and reduction measure thereof, 2011, Central South University's journal (natural science edition)) with 2250mm hot rolled strip steel leveling for object, the uneven wear of working roll is studied, utilize the abrasion condition of working roll during model computational analysis difference shifting strategy, deficiency for former strategy proposes new shifting strategy, document 2 (Wuhan Iron and Steel Plant 2250 hot rolling and leveling machine uneven wear and plate shape modulating properties, 2009, University of Science & Technology, Beijing's journal) regulating measure that proposes to use working roll to be gradually changed to negative roller by positive roller carries Gap crown to increase milling train, to compensate the reduction of the carrying Gap crown that working roller abrasion and roll shifting in formation process cause, thus ensure the relatively stable of carrying Gap crown, document 3 (hot rolled strip steel leveling working roller abrasion Study on Problems, 2007, metallurgical equipment) proposes optimize the smooth production schedule and take rational shifting strategy to improve the abrasion condition etc. of working roll.These researchs all cannot the complex wave that brings due to roll uneven wear of the solution hot rolling and leveling machine that never possesses roll shifting function and the too short problem of working roll rolling milimeter number.At present, the complex wave problem brought of hot rolling and leveling machine working roll uneven wear and the also not relevant research of the too short production problem of roll rolling milimeter number and good solution.
Summary of the invention:
In order to solve the problem, the object of the invention is to provide a kind of roll contour design method of the employing multistage function subregion superposition be based upon on mass data statistical analysis basis, for improving hot rolling and leveling machine working roll rolling milimeter number, compensate the serious uneven wear of roll because raw material inherent shortcoming causes thus the problem causing strip shape quality to decline, increase substantially the rolling milimeter number of hot rolling and leveling machine working roll and the strip shape quality of product.
Technical solution of the present invention specifically comprises the following steps:
1. in the Primary Stage Data statistical analysis stage: gather in a large number and statistical analysis the shape of working roll wear data in hot-rolled leveling production line a period of time, calculate the mean value worn and torn in each position of the body of roll, primary Calculation goes out the wear trend curve of working roll.
2. the determination of compensated curve: the compensated curve calculating shape of working roll according to wear trend opisometer, because hot rolling and leveling machine is without roll shifting mechanism and the regulating power of bending roller force is limited, so working roller abrasion should be symmetric.And the result of in-site measurement is different from theoretical value, when this is roll shape detecting, working roll position does not accomplish that the reasons such as horizontal positioned cause completely, therefore, first need the non-wearing part of wear curve to compensate on a horizontal linear, then calculate the size along each point offset on barrel length direction on roll surface.According to wearing and tearing this feature symmetrical, roll forming should be got the mean value at 2, symmetric position place relative to the offset at the symmetric position place of mid point, so just tentatively can obtain a compensated curve, finally the non-wearing part in compensated curve topping roll two ends be moved to horizontal level at zero point.
Step 3: the determination of planisher working roll compensated curve expression formula: observe compensated curve and find that it cannot be determined with single mathematic(al) representation, therefore, need to carry out piecewise fitting expression according to its curve feature.Curve segmentation position is determined according to the feature of compensated curve, gets-X
0,-X
1,-X
2, X
2, X
1, X
0main points point, is divided into seven-segment table to show compensated curve:
1) represent for first paragraph horizontal linear, formula is as follows:
y＝0 x∈[-X
0,-X
1]
2) can be similar to for second segment and represent with straight line, formula is as follows:
y＝a
0x+d
1x∈[-X
1,-X
2-100]
Because second segment straight line and first paragraph straight line are at x
1=-X
1intersect, therefore obtain:
d
1＝-a
0x
1＝a
0X
1
Wherein, a
0represent the slope of this straight line;
3) the 3rd section is changeover portion, and ensure that second segment straight line is smoothly transitted into the 4th section of curve, adopt six order polynomial curves to carry out matching, formula is as follows:
y＝b
6x
6+b
5x
5+b
4x
4+b
3x
3+b
2x
2+b
1x+d
2x∈[-X
2-100,-X
2+100]
Because the 3rd section of curve and second segment straight line are at x
2=-X
2-100 intersect, therefore obtain:
d
2＝a
0x
2+d
1-b
6x
2 6-b
5x
2 5-b
4x
2 4-b
3x
2 3-b
2x
2 2-b
1x
2
Wherein, b
6, b
5, b
4, b
3, b
2, b
1be six power curve coefficients;
4) the 4th section can be carried out matching with six order polynomial curves, and formula is as follows:
y＝a
6x
6+a
5x
5+a
4x
4+a
3x
3+a
2x
2+a
1x+d
3x∈[-X
2+100,X
2-100]
Because the 4th section of curve and the 3rd section of curve are at x
3=-X
2+ 100 intersect, therefore obtain:
d
3＝b
6x
3 6+b
5x
3 5+b
4x
3 4+b
3x
3 3+b
2x
3 2+b
1x
3+d
2-a
6x
3 6-a
5x
3 5-a
4x
3 4-a
3x
3 3-a
2x
3 2-a
1x
3
Wherein, a
6, a
5, a
4, a
3, a
2, a
1be six power curve coefficients;
5) the 5th section acts on identical with the 3rd section, ensures that the 4th section of curve smoothing is transitioned into the 6th section of straight line, and symmetrical about working roll center line with the 3rd section of curve, and six order polynomial curves also can be adopted to carry out matching, and formula is as follows:
y＝b
6x
6-b
5x
5+b
4x
4-b
3x
3+b
2x
2-b
1x+d
2x∈[X
2-100,X
2+100]
6) the 6th section with second segment symmetrical to working roll center line, formula is as follows:
y＝-a
0x+d
1x∈[X
2+100,X
1]
7) the 7th section with first paragraph symmetrical to working roll center line, formula is as follows:
y＝0 x∈[X
1,X
0]
Therefore, working roll compensated curve can show with following formula table:
Wherein, X
0=L/2, L are defined as planisher working roll roll surface length; X
1=B/2, B are defined as the strip width of institute's rolling; X
2for the position of roll wear amount maximum point.
4. the determination of the new roll forming of working roll: obtain the roll forming compensated curve being divided into seven sections according to step 3, be added to after its each point roll forming value is multiplied by penalty coefficient on planisher working roll ground conth, penalty coefficient is got between 0.2 ~ 0.5, obtain the new roll forming discrete points data of working roll, the roll lateral coordinates that wherein x is is initial point with roll surface mid point, unit is mm, y is roll forming of the roll value, unit is μm, thus obtains final roll forming grinding curve.
Content of the present invention can extend the rolling milimeter number of planisher by the design of roll shape curve, improves the strip shape quality of product, inputs grinding machine carry out grinding after roll contour design completes in the mode of discrete point.Therefore, the present invention implements on hot rolling and leveling machine that feasibility is strong, cost is low.Show after certain factory's hot rolling and leveling machine uses on the machine, this kind of roll forming can significantly improve the rolling milimeter number of planisher working roll, improves product strip shape quality.
Accompanying drawing illustrates:
Fig. 1 Surfaces of Hot Rolled Strip iron scale distribution situation figure.
Fig. 2 work on the spot roller wearing and tearing roll forming survey map.
Figure is determined in Fig. 3 compensated curve segmentation position.
Fig. 4 working roller abrasion data statistics figure.
Fig. 5 working roller abrasion tendency chart.
Fig. 6 working roll compensated curve figure.
Fig. 7 working roll ground conth curve.
The new roll shape curve of Fig. 8 working roll.
The new shape of working roll curve of Fig. 9 and ground conth curve comparison schematic diagram.
A is black and blue color iron scale; B is brown iron oxide skin.
Detailed description of the invention:
Below in conjunction with detailed description of the invention, the present invention is described further:
The phenomenon that the working roller abrasion problem occurred for certain factory's hot rolling line planisher is serious, improves its shape of working roll.
According to content of the present invention, design corresponding shape of working roll curve.
First added up the wear data of planisher working roll in the nearly two weeks of this factory, amounted to 23 groups of data, see Fig. 4, calculated the mean value along the wearing and tearing of each position of the body of roll, obtain the wear trend figure of working roll, see Fig. 5.
The offset of shape of working roll is calculated according to wear trend curve, first the non-wearing part of wear curve is needed to compensate on a horizontal linear, then the size along barrel length direction each point offset on roll surface is calculated, because working roller abrasion is symmetrical, roll forming is got the mean value at 2, symmetric position place relative to the offset of the position of mid point, tentatively obtain a compensated curve, finally non-for compensated curve two ends wearing part is moved to horizontal level at zero point, obtain final compensated curve, see Fig. 6.
Then carry out piecewise fitting to the compensated curve obtained, formula is as follows:
Be first paragraph curve when x ∈ [-900 ,-720], y=0;
Be second segment curve when x ∈ [-720 ,-640], y=0.1788x+128.97;
Be the 3rd section of curve when x ∈ [-640 ,-440],
Be the 4th section of curve when x ∈ [-440,440],
Be the 5th section of curve when x ∈ [440,640],
Be the 6th section of curve when x ∈ [640,720], y=-0.1788x+128.97;
Be the 7th section of curve when x ∈ [720,900], y=0.
The ground conth of planisher working roll is the recessed roll forming of-60 μm, sees Fig. 7; Adopt conic section function representation:
y＝7.407×10
-5x
2-60 x∈[-900,900]
After above roll forming segment design completes, superpose curve, according to the real work situation of planisher, getting penalty coefficient is 0.25, and compensated curve superposes with ground conth after being multiplied by penalty coefficient, can obtain new shape of working roll.Aggregative formula is as follows:
When x ∈ [-900 ,-720], y=7.407 × 10
-5x
2-60;
When x ∈ [-720 ,-640], y=7.407 × 10
-5x
2+ 0.0447x-27.7575;
When x ∈ [-640 ,-440],
Time x ∈ [-440,440],
When x ∈ [440,640],
When x ∈ [640,720], y=7.407 × 10
-5x
2-0.0447x-27.7575;
When x ∈ [720,900], y=7.407 × 10
-5x
2-60.
Can calculate the horizontal discrete points data (interval 25mm point) of roll according to formula above, as shown in table 1, the roll lateral coordinates that x is is initial point with roll mid point, unit mm, y are roll forming of the roll value, and unit is μm.Fig. 8 is newly-designed shape of working roll; Fig. 9 is new design work roller roll shape curve and original initial roll shape curve comparison diagram.
The horizontal discrete points data of table 1 working roll
| x | y | x | y | x | y |
| -900 | 0.00 | -275 | -53.13 | 350 | -47.85 |
| -875 | -3.29 | -250 | -54.49 | 375 | -45.70 |
| -850 | -6.48 | -225 | -55.65 | 400 | -43.40 |
| -825 | -9.59 | -200 | -56.64 | 425 | -40.98 |
| -800 | -12.60 | -175 | -57.46 | 450 | -38.47 |
| -775 | -15.51 | -150 | -58.12 | 475 | -36.05 |
| -750 | -18.34 | -125 | -58.65 | 500 | -33.61 |
| -725 | -21.23 | -100 | -59.07 | 525 | -31.48 |
| -700 | -22.75 | -75 | -59.37 | 550 | -29.94 |
| -675 | -24.18 | -50 | -59.58 | 575 | -28.96 |
| -650 | -25.52 | -25 | -59.70 | 600 | -27.99 |
| -625 | -26.77 | 0 | -59.74 | 625 | -26.77 |
| -600 | -27.99 | 25 | -59.70 | 650 | -25.52 |
| -575 | -28.96 | 50 | -59.58 | 675 | -24.18 |
| -550 | -29.94 | 75 | -59.37 | 700 | -22.75 |
| -525 | -31.48 | 100 | -59.07 | 725 | -21.23 |
| -500 | -33.61 | 125 | -58.65 | 750 | -18.34 |
| -475 | -36.05 | 150 | -58.12 | 775 | -15.51 |
| -450 | -38.47 | 175 | -57.46 | 800 | -12.60 |
| -425 | -40.98 | 200 | -56.64 | 825 | -9.59 |
| -400 | -43.40 | 225 | -55.65 | 850 | -6.48 |
| -375 | -45.70 | 250 | -54.49 | 875 | -3.29 |
| -350 | -47.85 | 275 | -53.13 | 900 | 0.00 |
| -325 | -49.81 | 300 | -51.57 | ||
| -300 | -51.57 | 325 | -49.81 |
Above data are input to grinding machine and carry out grinding, obtain new shape of working roll and carry out upper machine production.
Actual production shows: hot rolling and leveling machine is by adopting newly-designed shape of working roll, and strip shape quality objection have dropped 36%, and flatness defect is effectively controlled; The average rolling milimeter number of planisher working roll is increased to 960 kilometers by original 540 kilometers, greatly reduce a ton steel rider consumption, decrease the grinding roller number of times in roll dressing workshop and the roll change frequency of hot-rolled leveling machine production line simultaneously, greatly improve the operating rate producing line, for enterprise brings huge economic benefit.
The foregoing is only the preferred embodiments of the present invention, be not limited to the present invention, for a person skilled in the art, the present invention can have various modifications and variations.Within the spirit and principles in the present invention all; improve any amendment that degradation problem under the low and strip shape quality of planisher working roll rolling milimeter number that roll uneven wear brings does, equivalent replacement, improvement etc. by roll forming technology, all should be included within protection scope of the present invention.
Claims (1)
1. based on the hot rolling and leveling machine shape of working roll method for designing of multistage roll shape curve matching, it is characterized in that, the mode that this roll shape curve adopts ground conth curve to superpose with compensated curve segmentation, concrete steps are as follows:
Step 1: Primary Stage Data statistical analysis stage: the shape of working roll wear data in hot-rolled leveling production line a period of time is gathered and statistical analysis in a large number, the wear extent of statistics each position of the body of roll, obtain the mean value of each body of roll position wear extent, thus obtain the wear trend curve of working roll;
Step 2: the determination of compensated curve: the compensated curve calculating shape of working roll according to wear trend curve, first wear curve transmission side and fore side is needed to be compensated for as straight line, then the size along barrel length direction each point roll forming offset on roll surface is calculated, because working roller abrasion is symmetrical, roll forming is got the mean value of 2 relative to the offset at the symmetric position place of mid point, tentatively obtain a compensated curve, finally non-for two ends corresponding for compensated curve wearing part is moved to dead-center position;
The determination of step 3. planisher working roll compensated curve expression formula: because compensated curve cannot be determined with single mathematic(al) representation, therefore, need to carry out segmentation expression according to its curvilinear characteristic, segmentation position is determined according to the feature of compensated curve, first define-
x 0,-
x 1,-
x 2,
x 2,
x 1,
x 0main points point, compensated curve divides seven sections to represent respectively, and formula is as follows:
1) first paragraph horizontal linear represents, formula is as follows:
2) second segment can be similar to and represent with straight line, and formula is as follows:
Because second segment straight line and first paragraph straight line exist
intersect, therefore obtain:
Wherein,
represent the slope of this straight line;
3) the 3rd section is changeover portion, and ensure that second segment straight line is smoothly transitted into the 4th section of curve, adopt six order polynomial curves to carry out matching, formula is as follows:
Because the 3rd section of curve and second segment straight line exist
intersect, therefore obtain:
Wherein,
,
,
,
,
,
be six power curve coefficients;
4) the 4th section is carried out matching with six order polynomial curves, and formula is as follows:
Because the 4th section of curve and the 3rd section of curve exist
intersect, therefore obtain:
wherein,
,
,
,
,
,
be six power curve coefficients;
5) the 5th section acts on identical with the 3rd section, ensures that the 4th section of curve smoothing is transitioned into the 6th section of straight line, and symmetrical about working roll center line with the 3rd section of curve, and adopt six order polynomial curves to carry out matching, formula is as follows:
6) the 6th section with second segment symmetrical to working roll center line, formula is as follows:
7) the 7th section with first paragraph symmetrical to working roll center line, formula is as follows:
Wherein,
x 0=
l/ 2,
lbe defined as planisher working roll roll surface length;
x 1=
b/ 2
, Bbe defined as the strip width of institute's rolling;
x 2for the position of roll wear amount maximum point,
Step 4: the determination of the new roll forming of working roll: obtain the roll forming compensated curve being divided into seven sections according to step 3, be added to after its each point roll forming value is multiplied by penalty coefficient on planisher working roll ground conth, penalty coefficient is got between 0.2 ~ 0.5, obtain the new roll forming discrete points data of working roll, the roll lateral coordinates that wherein x is is initial point with roll surface mid point, unit is mm, y is roll forming of the roll value, unit is μm, thus obtains final roll forming grinding curve.
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| CN112974543A (en) * | 2019-12-12 | 2021-06-18 | 上海梅山钢铁股份有限公司 | Method for optimizing ship-shaped curve of hot-rolled thin strip steel |
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| CN113857265A (en) * | 2021-09-13 | 2021-12-31 | 北京科技大学 | Method for designing roll shape of working roll of hot-rolled ultrathin strip based on multi-target cooperative control |
| CN113857265B (en) * | 2021-09-13 | 2022-08-09 | 北京科技大学 | Method for designing roll shape of working roll of hot-rolled ultrathin strip based on multi-target cooperative control |
| CN114147558A (en) * | 2021-11-04 | 2022-03-08 | 北京科技大学 | Method for determining grinding roll shape of strip steel hot continuous rolling working roll |
| CN114147559A (en) * | 2021-11-22 | 2022-03-08 | 江苏沙钢集团有限公司 | Roll shape configuration method and configuration structure of cold-rolled tin plate continuous annealing line temper mill |
| CN114147559B (en) * | 2021-11-22 | 2024-04-30 | 江苏沙钢集团有限公司 | Roll configuration method and configuration structure of cold-rolled tin sheet continuous annealing line leveling machine |
| CN114700368A (en) * | 2022-03-07 | 2022-07-05 | 北京科技大学 | Working roll shape for eliminating local high points of plate strip and design method |
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