CN102873105A - Prediction method for rectangular flat material angular rolling width - Google Patents
Prediction method for rectangular flat material angular rolling width Download PDFInfo
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Abstract
The invention discloses a prediction method for the rectangular flat material angular rolling width, which relates to the technical field of rolling. The prediction method comprises the following steps of: before rolling, presetting a total rolling reduction and a gripping dip angle when a rectangular flat material blank to be rolled is subjected to angular rolling along a first diagonal; firstly calculating the plane area of a rolled piece after rolling is carried out along the first diagonal; according to the numerical value of the plane area, calculating the extension quantity of vertex angles on two ends of the first diagonal of the rolled piece after rolling is carried out along the first diagonal; calculating the width of the rolled piece after angular rolling according to the extension quantity; when the width of the pre-calculated rolled piece satisfies a production requirement, conveying to a rolling mill to be rolled; during rolling, carrying out back calculation according to an on-line actual-measurement parameter to obtain the self-learning parameter of the rolled piece being rolled; and calculating the self-learning parameter of a next rolled piece when width prediction is carried out with an exponential smoothing method so as to calculate the prediction width of the next rolled piece. Compared with the prior art, the prediction method for the rectangular flat material angular rolling width is characterized in that the rolled piece width after the angular rolling can be predicted on line, and a corresponding on-line self-learning method is combined to improve the prediction precision.
Description
Technical field
The present invention relates to rolling technical field, especially a kind of method that solves the prediction of flat rectangular material angular rolling process width.
Background technology
The generation of flat rectangular material angular rolling technique is exactly broadening take the sheet material that solves various non-standard width specifications from the beginning as main purpose, namely solves the width problem of large specification flat rectangular material when hot rolling cogging, makes it to reach required width.Other advantages of angular rolling are to improve bite condition, relatively transverse rolling can increase ingot casting length, reduce by how much percent defectives, enhance productivity.The core content of angular rolling technology is the precomputation of broadening amount, namely according to predefined inclination angle and the drafts of nipping, the rolled piece broadening amount of finishing after the angular rolling passage is predicted, when the deviation of forecasting width and target width is not in allowed band, can adjust in time inclination angle and drafts.For a long time, the technique of angular rolling only has theoretical research, lacks the method that can be used for forecasting online width, and width accuracy can't be guaranteed effectively.So need to propose to be used in the angular rolling width Forecasting Methodology of line computation and the self-learning method of assurance precision of prediction.
Summary of the invention
The Forecasting Methodology that the purpose of this invention is to provide a kind of flat rectangular material angular rolling width, the Forecasting Methodology of this flat rectangular material angular rolling width can solve existing angular rolling and lack the problem of forecasting that width and width accuracy can't be guaranteed effectively.
In order to address the above problem, the technical solution used in the present invention is: the Forecasting Methodology of this flat rectangular material angular rolling width, before rolling, according to default overall reduction when treating that rolling flat rectangular material blank carries out angular rolling along the first diagonal, the inclination angle of nipping, calculate first along the area of plane of the rolling rear rolled piece of the first diagonal, according to the elongation of this area of plane numerical computations along the first diagonal two ends drift angle of the rolling rear rolled piece of the first diagonal, again by the rolled piece width behind this elongation calculating angular rolling, when the rolled piece width of this precomputation satisfies production requirement, carry rolling to milling train; When rolling, go out current self study coefficient at rolled piece according to online actual measurement parameter inverse, adopt exponential smoothing, the self study coefficient when calculating next piece rolled piece and carrying out the width prediction calculates the predicted width of next piece rolled piece with this.
In the Forecasting Methodology of above-mentioned flat rectangular material angular rolling width, technical scheme can also be more specifically: the following formula of rolled piece width basis behind rolling front prediction angular rolling:
According to the constancy of volume principle, calculate the area of plane along the rolling rear rolled piece of the first diagonal
:
Wherein,
,
With
Be respectively length and width and the height of the flat material rolled piece of k piece;
With
Be respectively later rolled piece wide and high of angular rolling;
For along the rolling overall reduction of the first diagonal;
After k piece rolled piece was rolling along the first diagonal, the one-sided elongation of the first diagonal two ends drift angle was y
k:
Wherein,
The inclination angle of nipping when being the flat material rolled piece of k piece angular rolling;
Be the self study coefficient that the flat material rolled piece of k piece is carried out adopt when width is predicted;
Rolled piece width behind the calculating angular rolling is:
Wherein,
It is the later width of rolled piece of the flat material angular rolling of k piece.
Further: the side jig before and after milling train does not possess under the condition of surveying wide function, when rolled piece proceeds to passage last along the first diagonal angular rolling, according to the nip online actual measurement parameter of signal, roll rotational speed and time point of rolled piece, calculate the outlet length of rolled piece, calculate on this basis the one-sided elongation of rolled piece, inverse self study coefficient; The following formula of the basis of the predicted width of next piece rolled piece:
The projected length of diagonal on rolling direction when (1) calculating is rolling along the first diagonal, its formula is as follows:
Wherein,
Be the length that roll turns over, unit is millimeter;
Be roller radius, unit is millimeter;
The drafts of passage last when rolling along the first diagonal, unit are millimeter;
Be the mill speed curvilinear function of rolled piece, be predefined value;
Be start time point, the time point of namely nipping is got when nipping signal when detecting
=0;
The time of having nipped for roll;
Be advancing slip value, its algorithm is as follows:
Wherein,
The exit thickness of passage last when rolling along the first diagonal;
The inlet thickness of passage last when rolling along the first diagonal;
The diagonal for the treatment of rolling flat rectangular material blank before not rolling is along the projected length of rolling direction
For:
(3) based on the self-learning method of exponential smoothing
The self study coefficient calculations of k+1 piece material is:
Wherein
It is the one-sided elongation self study coefficient value of k+1 piece rolled piece;
Be the one-sided elongation self study coefficient value of k piece rolled piece, can assert that it is the 1st block of material that self-learning function begins to start, order
Be gain coefficient,
Further: the side jig before and after milling train possesses under the condition of surveying wide function, and according to the online actual measurement parameter of rolled piece width behind the angular rolling, directly inverse goes out current self study coefficient at rolled piece
, the self study coefficient
The inverse formula be:
The self study coefficient calculations of k+1 piece material is:
The width predicted value of k+1 piece rolled piece
For:
Wherein,
It is the one-sided elongation self study coefficient value of k+1 piece rolled piece;
Be the one-sided elongation self study coefficient value of k piece rolled piece, can assert that it is the 1st block of material that self-learning function begins to start, order
Be gain coefficient,
Owing to having adopted technique scheme, the present invention compared with prior art has following beneficial effect: under known overall reduction and the situation at the inclination angle of nipping when carrying out angular rolling along the first diagonal, calculating is along the one-sided multi-pass total elongation of the first diagonal two ends drift angle, further calculate accordingly the rolled piece width behind the angular rolling, again in conjunction with corresponding online self-learning method to improve precision of prediction; Propose respectively to possess the reverse calculation algorithms of surveying wide function and not possessing width self-learning coefficient under the wide functional conditions of survey at milling train front and back side jig, and be used for the prediction and calculation of next piece rolled piece.
Description of drawings
Fig. 1 is in the whole process of flat rectangular material angular rolling, turns for the first time the complete shape of rolling piece schematic diagram when also rolling of material.
Fig. 2 turns for the first time the rolling complete and shape of rolling piece schematic diagram when turning for the second time behind the material also rolling behind the material.
Fig. 3 turns the rear rolling complete shape of rolling piece schematic diagram of material for the second time.
Fig. 4 is the flat material change of shape of angular rolling schematic diagram.
Fig. 5 is the flat material passage outlet of angular rolling length computation schematic diagram.
The specific embodiment
The invention will be further described below in conjunction with accompanying drawing:
Be the whole process of flat rectangular material angular rolling as shown in Figure 1 to Figure 3, treat that the rotating roller of rolling flat rectangular material blank 3 before roll 1 turns to certain angle, along the rolling 1-4 passage of its first diagonal AC; After the centering, turn for the first time that rolling rolled piece 4 complete and when turning for the second time behind the material also rolling turns an angle at rotating roller again behind the material, along the rolling 1-4 passage of the second diagonal BD, the rolling complete rolled piece 5 that obtains; After the centering, milling train changes over to normally automatically vertically rolling, thereby reaches the purpose of broadening.Width prediction behind the angular rolling belongs to the part of angular rolling rolling schedule calculation, after nip inclination angle and drafts are determined, need to calculate the rolled piece broadening amount that under this nips inclination angle and drafts, can reach, if the broadening quantity not sufficient is to reach the requirement of finished width, the broadening amount then needs nip inclination angle and drafts are adjusted, until can meet the demands.This angular rolling width Forecasting Methodology needs according to the initial length for the treatment of rolling flat rectangular material blank 1, and the parameters such as finished width, the inclination angle of nipping, drafts are calculated.Because it is wide rolling that flat material follow-up rolling comprises also that usually edger roll subtracts, and there is certain error in prediction algorithm itself, should be in conjunction with corresponding online self-learning method to improve precision of prediction.In the present embodiment, the side jig does not possess the wide function of survey, along the rolling passage last of the first diagonal, when rolled piece is nipped milling train, sting the material signal and can import the L2 Process Control System into, begin timing this moment, when rolled piece is dished out milling train, the material casting signal also can import the L2 Process Control System into, and timing this moment is complete.Utilize this duration and by the actual measurement speed curves that is installed in roll axle head encoder and records, the as can be known actual outlet length of rolled piece.Derive according to how much again, can get the developed width of rolled piece.
Width pre-computation methods behind the angular rolling is carried out as follows:
Length and width and the height of supposing the flat material blank of k piece are respectively
,
With
The angular rolling later wide and height of rolled piece is respectively
With
The overall reduction rolling along the first diagonal is
The inclination angle of nipping is
As shown in Figure 4,
ABCD is for treating rolling flat rectangular material blank original shape,
A
1BC
1D is the parallelogram shape after rolling along rolled piece the first diagonal,
A
1B
1C
1D
1For again recovering the shape of rectangle after rolling along the second diagonal, this shows, the broadening amount of rolled piece is just definite after the rolling pass that namely turns for the first time material along the first diagonal, and is cornerwise rolling just in order to ensure the rectangle rate of rolled piece along second.
(2) the one-sided elongation y of calculating the first diagonal two ends drift angle
k
As shown in Figure 4, elongation y
kActual is line segment AA
1Length, i.e. AA
1=y
kBy the law of metal flow of angular rolling process as can be known, the width extent of flat material depends on the elongation at four right angles to a great extent.Because there is symmetry in the deformation at four right angles, so cut-off angle ∠ BAD studies as object.Choose the A point and set up rectangular coordinate system as origin of coordinate, wherein X-axis is parallel to roll axis, and Y-axis is rolling direction.Do boost line through the B point and hand over Y-axis in the E point, do boost line through the D point and hand over Y-axis in the F point.∠ ABE equates with the pre-set inclination angle of nipping, i.e. ∠ ABE=α.Then the length of line segment BE is:
In like manner, the length of line segment DF is:
As shown in Figure 4, △ A
1BA and △ A
1The area sum of DA is rolled piece along half of the difference of the area of plane of the rolling front and back of the first diagonal:
Because BE and DF are respectively △ A
1BA and △ A
1The height of DA, according to formula (2)-to formula (4), two leg-of-mutton base A A
1, i.e. y
kLength be:
Wherein
It is the one-sided elongation self study coefficient of the drift angle of k piece material.
(3) the rolled piece width behind the calculating angular rolling
Make the extended line of line segment DA and hand over A
1B
1In the G point, then according to geometrical relationship as can be known, ∠ DAF=∠ A
1AG=α
k, then the rolled piece width is:
More than be the geometry derivation that width calculates behind the angular rolling, as benchmark, calculate according to nip inclination angle and the drafts finished width after to angular rolling.But in the actual production, the width of angular rolling also is subject to coming from the impact of following three aspects:: usually also will impose certain edging amount to the limit section of rolled piece through upset pass after a. angular rolling passage, rolled piece is formed certain wide effect that subtracts.B. after the angular rolling passage, the flat shape of rolled piece can not reach the rectangle of how much degree, and this calculating is that it is set up for the basis of rectangle in hypothesis.C. there is certain error in model calculating itself.Therefore consider to adopt exponential smoothing to set up the self-learning method that calculates based on above width.
The self-study method of the present embodiment is not possess under the condition of surveying wide function at the side jig, actual measurement parameter according to the angular rolling process, after the floor projection length on the rolling direction is calculated key value y, again self study coefficient Q is carried out self study when rolling along the first diagonal.Its calculation procedure is as follows:
As shown in Figure 5, cross the C point and make the boost line parallel with roll axis, make line segment AA
1Extended line hand over boost line CK in the K point, connect A, C point, AC is not for rolling the diagonal of front flat material.L
ExitBe the outlet length of rolled piece, unit is millimeter; L
1For not rolling front flat material diagonal along the projected length of rolling direction, unit is millimeter.
After roll will turn over asynchronous region length first, sheet material could be from opposite side out, so the length that the outlet length of sheet material can utilize roll to turn over calculates, and its formula is as follows through deriving:
Wherein
Be the length that roll turns over, unit is millimeter;
Be roller radius, unit is millimeter;
The drafts of passage last when rolling along the first diagonal, unit are millimeter;
Be advancing slip value, its algorithm is as follows:
Wherein,
The exit thickness of passage last when rolling along the first diagonal;
The inlet thickness of passage last when rolling along the first diagonal.
Calculating roll according to time and roll rotational speed turns over length and is:
Wherein,
Be the mill speed curvilinear function of rolled piece, be predefined value;
Be start time point, the time point of namely nipping is got when nipping signal when detecting
=0.
The time of having nipped for roll.
Formula (9) substitution formula (7) can be got the outlet length of sheet material, namely roll rear diagonal and along the floor projection length of rolling direction be:
According to the boost line CK that does, AK and AC, carry out geometry and derive, do not roll front flat material diagonal along the projected length L of rolling direction
1For:
(2) then along the one-sided total elongation actual value of the first diagonal angular rolling
For:
(3) predict the width of next piece rolled piece based on the self-learning method of exponential smoothing
By measured data to calculating along the first cornerwise floor projection of rolled piece exit thickness on rolling direction
, according to formula (5) inverse self study coefficient
For:
The self study coefficient calculations of k+1 piece material is:
According to formula (5) and formula (6), the width predicted value of k+1 piece rolled piece
For:
(15)
Wherein
It is the one-sided elongation self study coefficient value of k+1 piece rolled piece;
Be the one-sided elongation self study coefficient value of k piece rolled piece, can assert that it is the 1st block of material that self-learning function begins to start, order
Be gain coefficient,
If the length and width of the flat material of rolling k piece and height are respectively 2000 millimeters, 4000 millimeters and 500 millimeters, roller radius is 500 millimeters, the inclination angle of nipping when rolling along the first diagonal is 10 °, the exit thickness of passage last is 450 millimeters when rolling along the first diagonal, the inlet thickness of passage last is 460 millimeters, and the overall reduction when then rolling along the first diagonal is 50 millimeters.The rotating speed of roll is 1000 mm/second at the uniform velocity, i.e. V (t)=1000 mm/second, the time point t1=0 second of nipping, the time point t2=4.89 second of material casting.
The area of plane along the rolling rear rolled piece of the first diagonal
For:
The length of line segment BE as shown in Figure 4 is:
In like manner, the length of line segment DF is:
As shown in Figure 4, △ A
1BA and △ A
1The area sum of DA is rolled piece along half of the difference of the area of plane of the rolling front and back of the first diagonal:
Because BE and DF are respectively △ A
1BA and △ A
1The height of DA, according to formula (1)-to formula (5), two leg-of-mutton base A A
1, i.e. the one-sided extension value of the prediction of k piece material
Length be:
Wherein, think that k piece material is the 1st block of material that self-learning function starts, and can make
The width of k piece rolled piece is:
The advancing slip value of passage last when rolling along the first diagonal
Algorithm as follows:
Diagonal along the floor projection length of rolling direction is when finishing along the first diagonal is rolling:
The front flat material diagonal of angular rolling is not along the projected length L of rolling direction
1For:
Then k piece material is based on the one-sided overall elongation value along the first diagonal angular rolling of measured data calculating
For:
Length and width and the height of supposing k+1 piece material are respectively 2200 millimeters, 4500 millimeters and 550 millimeters, and the inclination angle of nipping when rolling along the first diagonal is 15 degree, and drafts is 60 millimeters.
The self study coefficient calculations of k+1 piece material is:
The present embodiment and embodiment 1 different place is that the complete rolled piece width value of angular rolling can obtain by surveying wide device on-line measurement, this is surveyed wide device and comprises the hydraulic cylinder of side jig, driving side jig and be installed in position sensor on the hydraulic cylinder, after all rolling passes are finished, by Hydraulic Cylinder side jig rolled piece is carried out holding action, this moment, position sensor can be passed to the L2 Process Control System with the measured value of the finished width of rolled piece, calculate its self study coefficient in order to carry out self study
The inverse formula be:
The width predicted value algorithm of k+1 piece rolled piece is identical with formula (15).
The parameter values identical with embodiment 1 is set, directly measured by the side jig
, then to the self study coefficient
The inverse formula be:
Claims (4)
1. the Forecasting Methodology of a flat rectangular material angular rolling width, it is characterized in that: before rolling, according to default overall reduction, the inclination angle of nipping when treating that rolling flat rectangular material blank carries out angular rolling along the first diagonal, calculate first along the area of plane of the rolling rear rolled piece of the first diagonal, according to the elongation of this area of plane numerical computations along the first diagonal two ends drift angle of the rolling rear rolled piece of the first diagonal, again by the rolled piece width behind this elongation calculating angular rolling, when the rolled piece width of this precomputation satisfies production requirement, carry rolling to milling train; When rolling, go out current self study coefficient at rolled piece according to online actual measurement parameter inverse, adopt exponential smoothing, the self study coefficient when calculating next piece rolled piece and carrying out the width prediction calculates the predicted width of next piece rolled piece with this.
2. the Forecasting Methodology of flat rectangular material angular rolling width according to claim 1 is characterized in that: the following formula of rolled piece width basis behind rolling front prediction angular rolling:
According to the constancy of volume principle, calculate the area of plane along the rolling rear rolled piece of the first diagonal
:
Wherein,
,
With
Be respectively length and width and the height of the flat material rolled piece of k piece;
Be the angular rolling later height of rolled piece;
For along the rolling overall reduction of the first diagonal;
After k piece rolled piece was rolling along the first diagonal, the one-sided elongation of the first diagonal two ends drift angle was y
k:
Wherein,
The inclination angle of nipping when being the flat material rolled piece of k piece angular rolling;
Be the self study coefficient that the flat material rolled piece of k piece is carried out adopt when width is predicted;
Rolled piece width behind the calculating angular rolling is:
3. the Forecasting Methodology of flat rectangular material angular rolling width according to claim 2, it is characterized in that: when rolled piece proceeds to passage last along the first diagonal angular rolling, according to the nip online actual measurement parameter of signal, roll rotational speed and time point of rolled piece, calculate the outlet length of rolled piece, calculate on this basis the one-sided elongation of rolled piece, inverse self study coefficient; The following formula of the basis of the predicted width of next piece rolled piece:
The projected length of diagonal on rolling direction when (1) calculating is rolling along the first diagonal, its formula is as follows:
Wherein,
Be the length that roll turns over, unit is millimeter;
Be roller radius, unit is millimeter;
The drafts of passage last when rolling along the first diagonal, unit are millimeter;
Be the mill speed curvilinear function of rolled piece, be predefined value;
Be start time point, the time point of namely nipping is got when nipping signal when detecting
=0;
The time of having nipped for roll;
Be advancing slip value, its algorithm is as follows:
Wherein,
The exit thickness of passage last when rolling along the first diagonal;
The inlet thickness of passage last when rolling along the first diagonal;
The diagonal for the treatment of rolling flat rectangular material blank before not rolling is along the projected length of rolling direction
For:
(3) based on the self-learning method of exponential smoothing
The self study coefficient calculations of k+1 piece material is:
4. the Forecasting Methodology of flat rectangular material angular rolling width according to claim 2 is characterized in that: according to the online actual measurement parameter of rolled piece width behind the angular rolling, directly inverse goes out current self study coefficient at rolled piece
, the self study coefficient
The inverse formula be:
The self study coefficient calculations of k+1 piece material is:
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CN104028559A (en) * | 2014-06-10 | 2014-09-10 | 首钢京唐钢铁联合有限责任公司 | Method for controlling width fluctuation of strip steel |
CN109719137A (en) * | 2018-12-29 | 2019-05-07 | 中冶京诚工程技术有限公司 | Steel plate corner control method, device and equipment for corner rolling and storage medium |
CN112427462A (en) * | 2019-08-26 | 2021-03-02 | 中冶京诚工程技术有限公司 | Thick plate width expansion mode control method and device |
CN112747679A (en) * | 2020-12-23 | 2021-05-04 | 河南中原光电测控技术有限公司 | Width measuring device, width measuring method, and computer-readable medium storing width measuring program |
CN114632817A (en) * | 2022-02-22 | 2022-06-17 | 南京钢铁股份有限公司 | Rolling method of wide and thick plate rolling mill |
CN116651933A (en) * | 2023-08-02 | 2023-08-29 | 东北大学 | Corner rolling method and device for plate and storage medium |
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CN104028559A (en) * | 2014-06-10 | 2014-09-10 | 首钢京唐钢铁联合有限责任公司 | Method for controlling width fluctuation of strip steel |
CN104028559B (en) * | 2014-06-10 | 2016-04-20 | 首钢京唐钢铁联合有限责任公司 | Method for controlling width fluctuation of strip steel |
CN109719137A (en) * | 2018-12-29 | 2019-05-07 | 中冶京诚工程技术有限公司 | Steel plate corner control method, device and equipment for corner rolling and storage medium |
CN112427462A (en) * | 2019-08-26 | 2021-03-02 | 中冶京诚工程技术有限公司 | Thick plate width expansion mode control method and device |
CN112427462B (en) * | 2019-08-26 | 2022-07-15 | 中冶京诚工程技术有限公司 | Thick plate width expansion mode control method and device |
CN112747679A (en) * | 2020-12-23 | 2021-05-04 | 河南中原光电测控技术有限公司 | Width measuring device, width measuring method, and computer-readable medium storing width measuring program |
CN114632817A (en) * | 2022-02-22 | 2022-06-17 | 南京钢铁股份有限公司 | Rolling method of wide and thick plate rolling mill |
CN116651933A (en) * | 2023-08-02 | 2023-08-29 | 东北大学 | Corner rolling method and device for plate and storage medium |
CN116651933B (en) * | 2023-08-02 | 2023-09-29 | 东北大学 | Corner rolling method and device for plate and storage medium |
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