CN109719136B - Roll-shaped curve of hexagonal square supporting roll - Google Patents
Roll-shaped curve of hexagonal square supporting roll Download PDFInfo
- Publication number
- CN109719136B CN109719136B CN201811581877.9A CN201811581877A CN109719136B CN 109719136 B CN109719136 B CN 109719136B CN 201811581877 A CN201811581877 A CN 201811581877A CN 109719136 B CN109719136 B CN 109719136B
- Authority
- CN
- China
- Prior art keywords
- roll
- curve
- supporting
- equation
- supporting roller
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Abstract
The invention relates to a sextic-order square supporting roller shape curve, and belongs to the technical field of strip steel production equipment in the metallurgical industry. The technical scheme is as follows: the equation of the roll profile curve of the supporting roll is as follows: f (x) = p1*x^6+p2*x^5+p3*x^4+p4*x^3+p5*x^2+p6*x+p7(ii) a Wherein: x is the length coordinate of the roll body of the supporting roll, p1、p2、p3、p4、p5、p6Coefficient of the equation to the sixth, fifth, fourth, third, second, fourth, and fourth powers, p7Is a constant term of an equation, and E is a scientific counting method; the roll profile of the supporting roll is formed by grinding by a numerical control grinding machine. The invention has the beneficial effects that: the plate shape of the finished product strip steel can be improved, and the plate shape reduction rate is reduced from 4.63% to 0.06%. The roll-shaped curve of the sextic-order square supporting roll is a curve formed by one-time grinding, and the chamfers on the two sides of the supporting roll are not needed to be independently ground, so that the grinding efficiency of the supporting roll is improved.
Description
Technical Field
The invention relates to a sextic-order square supporting roller shape curve, and belongs to the technical field of strip steel production equipment in the metallurgical industry.
Background
The product with excellent plate shape quality is applied to the aspects of automobile and household appliance manufacturing, the market demand is large, and the hot continuous rolling technology at home and abroad is developed to the aspects of plate shape, thickness precision, accurate control of temperature and performance, surface quality control and the like. The plate shape control of plate and strip products is always a main problem which is solved by production plants at home and abroad, and the poor plate shape has great influence on the production stability, the cost, the operation rate and the product quality. The method improves the plate shape quality of thin specification and variety steel, has obvious economic benefits for stable production, improvement of operation rate, reduction of abnormal consumption of the roller and improvement of product quality, can promote the rolling technical progress, and provides demonstration and reference for technical upgrading of the same type of production lines at home and abroad.
The 1700 production line is a common production line for the production of strip steel in the metallurgical industry at present, and comprises a steel rolling process and a flattening process, wherein the double-side wave defect generally exists in finished product strip steel due to poor roll shapes of a 1700 finishing mill and a flattening machine supporting roll, the double-side wave defect is more serious when the thickness is thinner and the strength is higher, the production and equipment in the subsequent processes are greatly influenced, and the judgment or quality objection is finally caused by poor plate shapes of part of products.
Disclosure of Invention
The invention aims to provide a sextic square supporting roller shape curve, which can improve the plate shape of a finished product strip steel, improve the appearance quality of a product and solve the problems in the background technology.
The technical scheme of the invention is as follows:
a sextic square supporting roller shape curve has the following equation:
f(x) = p1*x^6 + p2*x^5 + p3*x^4 + p4*x^3 + p5*x^2 + p6*x + p7
wherein: f (x) is a univariate sextuple equation of the roll profile of the support roll
x is the length coordinate of the roll body of the supporting roll
p1、 p2 、p3 、p4 、p5 、p6Coefficient of the equation to the sixth, fifth, fourth, third, second and first power
p7Is a constant term of an equation
E is a scientific counting method;
said p is1、 p2 、p3 、p4 、p5 、p6And p7Respectively corresponding to different support rollers, wherein:
a leveling machine supporting roller: p is a radical of1 =-2.152 E -18，p2 =1.136E-14，p3 =-2.370 E -11，p4 =2.479 E -08，p5 =-1.357 E -06，P6 =3.661 E -03，P7 =-0.381；
1700 hot rolling line finish rolling front frame F1-F3 back-up rolls: p1 =-1.069 E -17，P2 =5.387 E -15，P3 =-1.0881 E -11，P4 =1.12 E -07，P5 =-6.186 E -05，P6 =1.739 E -02，P7 =-1.963；
1700 hot rolling line finish rolling front frame F4-F7 back-up rolls: p1 =-5.067 E -18，P2 =2.554 E -14，P3 =-5.219 E -11，P4 =5.523 E -08，P5 =-3.186 E -05，P6 =9.481 E -03，P7 =0。
The roll profile curve of the supporting roll is formed by grinding by a numerical control grinding machine, and the following two methods can be adopted during grinding:
the method comprises the following steps: aiming at a numerical control grinding machine with a CVC curve program, during grinding, inputting parameters of a roll profile curve equation of a supporting roll into the CVC curve program of the numerical control grinding machine, and then grinding through the CVC curve program of the numerical control grinding machine until the roll surface of the supporting roll is ground into a roll profile curve of a supporting roll of a sixth power;
the second method comprises the following steps: for the numerical control grinding machine without CVC curve program, a point-by-point input method can be adopted, firstly, the length coordinate x of the supporting roller body in the supporting roller shape curve equation is divided into a plurality of points, the starting point is 0, the end point is the length of the supporting roller body, then the length coordinate x of the supporting roller body and other parameters in the supporting roller shape curve equation are input into the grinding program of the numerical control grinding machine for grinding until the roller surface of the supporting roller is ground into a supporting roller shape curve of a sixth power.
In the second method, the number of points into which the length coordinate x of the supporting roller body is divided can enable the roller-shaped curve of the supporting roller to be connected into a smooth curve.
The invention has the beneficial effects that: the plate shape of the finished product strip steel can be improved, and the plate shape reduction rate is reduced from 4.63% to 0.06%. The roll-shaped curve of the sextic-order square supporting roll is a curve formed by one-time grinding, and the chamfers on the two sides of the supporting roll are not needed to be independently ground, so that the grinding efficiency of the supporting roll is improved.
Drawings
FIG. 1 is a graph of a six-power backup roll profile;
FIG. 2 is a schematic diagram of a roll profile calibration of a sextuple support roll.
Detailed Description
The invention is further illustrated by way of example in the following with reference to the accompanying drawings.
Referring to the attached figure 1, a sextuple backup roll shape curve has the following equation:
f(x) = p1*x^6 + p2*x^5 + p3*x^4 + p4*x^3 + p5*x^2 + p6*x + p7
wherein: f (x) is a univariate sextuple equation of the roll profile of the support roll
x is the length coordinate of the roll body of the supporting roll
p1、 p2 、p3 、p4 、p5 、p6Coefficient of the equation to the sixth, fifth, fourth, third, second and first power
p7Is a constant term of an equation
E is a scientific counting method;
said p is1、 p2 、p3 、p4 、p5 、p6And p7Respectively corresponding to different support rollers, wherein:
levelling machine supportRoller: p is a radical of1 =-2.152 E -18，p2 =1.136E-14，p3 =-2.370 E -11，p4 =2.479 E -08，p5 =-1.357 E -06，P6 =3.661 E -03，P7 =-0.381；
1700 hot rolling line finish rolling front frame F1-F3 back-up rolls: p1 =-1.069 E -17，P2 =5.387 E -15，P3 =-1.0881 E -11，P4 =1.12 E -07，P5 =-6.186 E -05，P6 =1.739 E -02，P7 =-1.963；
1700 hot rolling line finish rolling front frame F4-F7 back-up rolls: p1 =-5.067 E -18，P2 =2.554 E -14，P3 =-5.219 E -11，P4 =5.523 E -08，P5 =-3.186 E -05，P6 =9.481 E -03，P7 =0。
The roll profile curve of the supporting roll is formed by grinding by a numerical control grinding machine, and the following two methods can be adopted during grinding:
the method comprises the following steps: aiming at a numerical control grinding machine with a CVC curve program, during grinding, inputting parameters of a roll profile curve equation of a supporting roll into the CVC curve program of the numerical control grinding machine, and then grinding through the CVC curve program of the numerical control grinding machine until the roll surface of the supporting roll is ground into a roll profile curve of a supporting roll of a sixth power;
the second method comprises the following steps: for the numerical control grinding machine without CVC curve program, a point-by-point input method can be adopted, firstly, the length coordinate x of the supporting roller body in the supporting roller shape curve equation is divided into a plurality of points, the starting point is 0, the end point is the length of the supporting roller body, then the length coordinate x of the supporting roller body and other parameters in the supporting roller shape curve equation are input into the grinding program of the numerical control grinding machine for grinding until the roller surface of the supporting roller is ground into a supporting roller shape curve of a sixth power.
In this example, the key points of the required sextuple curves, see points 1-4 in FIG. 1, are determined by the length of the body of the back-up roll, the intermediate height and the chamfer length, and then the coefficients p of the sextuple curves of the back-up rolls of the leveler, the hot rolling line of 1700 pre-rolling stands F1-F3 and the post-rolling stands F4-F7 are fitted with mathematical tools1、 p2 、p3 、p4 、p5 、p6、p7。
Aiming at the numerical control grinding machine with the CVC curve program, parameters of a sextic-square curve equation can be directly input into the CVC curve program, and each parameter can be subjected to fitting adjustment according to the middle-high quantity and the chamfer length of the actual production requirement.
For the control system of the grinding machine without a corresponding curve program, a point-by-point input method can be adopted. Taking a supporting roller with the roller body length of 1680mm used by a 1700 line as an example, firstly dividing the roller body length of 1680mm into 170 points, wherein the 170 points are not evenly distributed, the positions with large curvature change at two sides are taken, the positions with dense reference points and small curvature change at the middle are taken, the reference points are taken less, the starting points are 0, the end points are 1680, and the 170 points are substituted into a sextic curve equation to obtain 170 solutions, so that 170 groups of coordinate points are obtained, and the 170 points are connected into a smooth curve, namely the sextic curve of the roller type of the supporting roller. In the setting of the actual grinding program, input points can be increased infinitely to ensure that the curve is smooth and compact, thereby ensuring that the ground roller surface is stable and excessive and has no grinding defects such as grinding wheel tool marks and the like.
The method comprises the steps that a six-time square supporting roller curve of a ground supporting roller needs to be checked before the supporting roller is used, during checking, the calculated roller profile curve, roller parameters and rolling load are input into finite element calculation software, the pressure between the supporting roller and a working roller is calculated, whether the allowable stress of the roller is exceeded or not is checked, and the calculation result is shown in figure 2. From the stress color display shown in fig. 2, it can be clearly seen that the roll profile curve does not significantly increase the stress of the backup roll and the work roll system, the strain range is in a lower risk range, and the proof strength of production is satisfied. If the pressure between the rolls is high, the medium height or chamfer length can be increased appropriately and then recalculated.
By adopting the roller type, the trend of double-side waves at the outlet of the F7 finish rolling in the last time is obviously improved, and the reduction rate of the plate type is reduced from 4.63% to 0.06%.
Claims (2)
1. A sextic-square supporting roller profile curve is characterized in that: the equation of the roll profile curve of the supporting roll is as follows:
f(x) = p1*x^6 + p2*x^5 + p3*x^4 + p4*x^3 + p5*x^2 + p6*x + p7
wherein: f (x) is a univariate sextuple equation of the roll profile of the support roll
x is the length coordinate of the roll body of the supporting roll
p1、 p2 、p3 、p4 、p5 、p6Coefficient of the equation to the sixth, fifth, fourth, third, second and first power
p7Is a constant term of an equation
E is a scientific counting method;
said p is1、 p2 、p3 、p4 、p5 、p6And p7Respectively corresponding to different support rollers, wherein:
a leveling machine supporting roller: p is a radical of1 =-2.152 E -18，p2 =1.136E-14，p3 =-2.370 E -11，p4 =2.479 E -08，p5 =-1.357 E -06，P6 =3.661 E -03，P7 =-0.381；
1700 hot rolling line finish rolling front frame F1-F3 back-up rolls: p1 =-1.069 E -17，P2 =5.387 E -15，P3 =-1.0881 E -11，P4 =1.12 E -07，P5 =-6.186 E -05，P6 =1.739 E -02，P7 =-1.963；
1700 hot rolling line finish rolling front frame F4-F7 back-up rolls: p1 =-5.067 E -18，P2 =2.554 E -14，P3 =-5.219 E -11，P4 =5.523 E -08，P5 =-3.186 E -05，P6 =9.481 E -03，P7 =0；
The roll profile curve of the supporting roll is formed by grinding by a numerical control grinding machine, and the following two methods are adopted during grinding:
the method comprises the following steps: aiming at a numerical control grinding machine with a CVC curve program, during grinding, inputting parameters of a roll profile curve equation of a supporting roll into the CVC curve program of the numerical control grinding machine, and then grinding through the CVC curve program of the numerical control grinding machine until the roll surface of the supporting roll is ground into a roll profile curve of a supporting roll of a sixth power;
the second method comprises the following steps: aiming at a numerical control grinding machine without a CVC curve program, a point-by-point input method is adopted, firstly, a length coordinate x of a supporting roller body in a supporting roller shape curve equation is divided into a plurality of points, the starting point is 0, the end point is the length of the supporting roller body, then the length coordinate x of the supporting roller body and other parameters in the supporting roller shape curve equation are input into a grinding program of the numerical control grinding machine for grinding until the roller surface of the supporting roller is ground into a sextuple supporting roller shape curve;
and (3) checking the six-time square supporting roll curve of the ground supporting roll before use, inputting the calculated roll profile curve, roll parameters and rolling load into finite element calculation software during checking, calculating the pressure between the supporting roll and the working roll, and checking whether the allowable stress of the roll is exceeded or not.
2. A sextuple roll profile as recited in claim 1, wherein: in the second method, the number of points into which the length coordinate x of the supporting roller body is divided can enable the roller-shaped curve of the supporting roller to be connected into a smooth curve.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811581877.9A CN109719136B (en) | 2018-12-24 | 2018-12-24 | Roll-shaped curve of hexagonal square supporting roll |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811581877.9A CN109719136B (en) | 2018-12-24 | 2018-12-24 | Roll-shaped curve of hexagonal square supporting roll |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109719136A CN109719136A (en) | 2019-05-07 |
| CN109719136B true CN109719136B (en) | 2021-02-26 |
Family
ID=66296397
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201811581877.9A Active CN109719136B (en) | 2018-12-24 | 2018-12-24 | Roll-shaped curve of hexagonal square supporting roll |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109719136B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111881528B (en) * | 2020-07-23 | 2023-10-17 | 东北大学 | Method for determining roll shape curve of CVC rolling mill backup roll with parabolic chamfer |
| CN113714305B (en) * | 2021-07-30 | 2023-06-30 | 安阳钢铁股份有限公司 | Method for improving flat plate shape defect |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH08117829A (en) * | 1994-10-18 | 1996-05-14 | Kawasaki Steel Corp | Cold rolling method for steel sheet |
| CN101890429A (en) * | 2010-07-22 | 2010-11-24 | 首钢总公司 | Complete roll forming configuring method for wide flat steel hot rolling finish mill set |
| CN102247993A (en) * | 2011-05-27 | 2011-11-23 | 马鞍山钢铁股份有限公司 | Method for designing and matching roll shape of continuous annealing temper mill |
| CN102716911A (en) * | 2012-06-21 | 2012-10-10 | 首钢总公司 | Composite supporting roll for hot-continuous rolling wide-strip-steel four-roll mill |
| CN104492814A (en) * | 2014-11-28 | 2015-04-08 | 首钢总公司 | Roll contour configuration method for hot-rolling 1580mm temper mill |
-
2018
- 2018-12-24 CN CN201811581877.9A patent/CN109719136B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH08117829A (en) * | 1994-10-18 | 1996-05-14 | Kawasaki Steel Corp | Cold rolling method for steel sheet |
| CN101890429A (en) * | 2010-07-22 | 2010-11-24 | 首钢总公司 | Complete roll forming configuring method for wide flat steel hot rolling finish mill set |
| CN102247993A (en) * | 2011-05-27 | 2011-11-23 | 马鞍山钢铁股份有限公司 | Method for designing and matching roll shape of continuous annealing temper mill |
| CN102716911A (en) * | 2012-06-21 | 2012-10-10 | 首钢总公司 | Composite supporting roll for hot-continuous rolling wide-strip-steel four-roll mill |
| CN104492814A (en) * | 2014-11-28 | 2015-04-08 | 首钢总公司 | Roll contour configuration method for hot-rolling 1580mm temper mill |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109719136A (en) | 2019-05-07 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN101934290B (en) | Load allocation adjusting method for stainless steel tandem cold rolling mill | |
| CN109719136B (en) | Roll-shaped curve of hexagonal square supporting roll | |
| Shinkin | Preliminary straightening of thick steel sheet in a seven-roller machine | |
| CN103157956A (en) | Processing method of nickel-titanium memorial alloy tube with thin diameter and thick wall | |
| CN101690940A (en) | Method for rolling precision stainless steel strips with Sendzimir rolling mill | |
| WO2019087284A1 (en) | Roll wear dispersion method for rolling stand and rolling system | |
| CN103071683B (en) | Comprehensive adjustment rolling technology for double-frame S-shaped four-roll cold rolling mill | |
| CN101912886A (en) | Optimizing method for controlling side part to be thinned | |
| CN107457273A (en) | The board-shape control method and hot-rolling finishing mill of hot-rolling finishing mill | |
| CN111014307A (en) | Rolling mill speed control method for continuous rolling of furnace coil and finishing mill set | |
| CN104148404A (en) | Hot rolled strip flatness automatic control method | |
| CN105458012A (en) | Universal design method for roll shape of supporting roll in cooperation with high-order curve working roll | |
| CN101422785B (en) | Method for adjusting middle-roller drunkenness in double cold reduction shadow-mask strip-steel machine | |
| CN113664047B (en) | Production method for eliminating hot rolling local high points with wide and thick specifications of cold-rolled material | |
| CN104858245A (en) | Rough-rolling head warping and bending control method for hot continuous rolling mill based on multiple heating furnaces | |
| CN105855297A (en) | Control method for improving head thickness precision of first block of non-oriented silicon steel hot-rolled | |
| KR20070118544A (en) | Flat wire manufacturing method of manufacturing flat wire for ring gear | |
| Wang et al. | VCR back-up roll and negative work roll contour design for solving roll spalling and transfer bar profile problems in hot strip mill | |
| CN216655854U (en) | Unequal-width straightening roller set for high-strength H-shaped steel | |
| Cao et al. | Finite element analysis of strip and rolling mills | |
| CN112588895B (en) | Shell plate roll bending forming method | |
| CN112845682A (en) | Method for controlling deflection of H-shaped steel web and straightening tool used by method | |
| CN101477353B (en) | Computing method for roll profile of steckel mill | |
| CN108213087A (en) | A kind of method for disperseing CVC working roll roll shiftings position | |
| JP2019055415A (en) | Plate crown control method, plate crown control device, and steel plate manufacturing method |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |