CN106984651A - Online control system for improving thickness control precision of rolled piece - Google Patents
Online control system for improving thickness control precision of rolled piece Download PDFInfo
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- CN106984651A CN106984651A CN201710382616.3A CN201710382616A CN106984651A CN 106984651 A CN106984651 A CN 106984651A CN 201710382616 A CN201710382616 A CN 201710382616A CN 106984651 A CN106984651 A CN 106984651A
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- 238000005096 rolling process Methods 0.000 claims abstract description 25
- 239000000463 material Substances 0.000 claims abstract description 20
- 230000000704 physical effect Effects 0.000 claims abstract description 13
- 238000004364 calculation method Methods 0.000 claims abstract description 10
- 238000003801 milling Methods 0.000 claims description 32
- 238000001514 detection method Methods 0.000 claims description 7
- 238000005259 measurement Methods 0.000 claims description 3
- 230000035945 sensitivity Effects 0.000 claims description 3
- 229910000831 Steel Inorganic materials 0.000 description 23
- 239000010959 steel Substances 0.000 description 23
- 210000000481 breast Anatomy 0.000 description 10
- 238000000034 method Methods 0.000 description 9
- 230000001276 controlling effect Effects 0.000 description 5
- 230000000875 corresponding effect Effects 0.000 description 5
- 230000004075 alteration Effects 0.000 description 3
- 238000004458 analytical method Methods 0.000 description 2
- 238000005098 hot rolling Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 239000004484 Briquette Substances 0.000 description 1
- 238000005299 abrasion Methods 0.000 description 1
- 230000006978 adaptation Effects 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 238000004590 computer program Methods 0.000 description 1
- 230000002596 correlated effect Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000000977 initiatory effect Effects 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
- 238000013000 roll bending Methods 0.000 description 1
- 239000002689 soil Substances 0.000 description 1
Classifications
-
- 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
- B21B37/16—Control of thickness, width, diameter or other transverse dimensions
- B21B37/18—Automatic gauge control
-
- 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
- B21B37/16—Control of thickness, width, diameter or other transverse dimensions
- B21B37/18—Automatic gauge control
- B21B37/20—Automatic gauge control in tandem mills
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Control Of Metal Rolling (AREA)
Abstract
The invention provides an online control system for improving the control precision of the thickness of a rolled piece, which utilizes a temperature measuring device of the rolled piece at the inlet side of a rolling stand and a thickness measuring device of the rolled piece at the outlet side of a rolling mill to perform compensation calculation on a roll gap in real time, and specifically comprises the following steps: calculating the influence coefficient of the plastic processing temperature of the rolled piece relative to the thickness change of the rolled piece according to the measured data of the rolled piece temperature measuring and thickness measuring device; thereby calculating and obtaining the increase and decrease value of the thickness of the rolled piece at the outlet side of the rolling mill, which is generated by the temperature change of the rolled piece; meanwhile, the influence of the processing temperature on the physical properties of the rolled piece is compensated by using the corrected value of the physical properties of the material; and performing real-time compensation control on the roll gap of the roll according to the roll gap deviation calculation result. The invention can eliminate the problem of poor thickness control precision caused by uneven plastic processing temperature of the rolled piece, and the thickness control precision of different thickness specifications is improved by more than 2 percent.
Description
Technical field
The invention belongs to Metal Forming control field, and in particular to a kind of raising rolled piece thickness control accuracy it is online
Control system.
Background technology
Rolled piece thickness indication control one of topmost quality index of rolled piece, and influence thickness control factor mainly have with
Under several aspects：Board briquette change, the change of strip tension, speed influence, roll gap change etc..In the production of hot-strip
In, gauge automatic control (AGC) is to improve one of Main Means of thickness control accuracy, therefore complete gauge automatic control system
System, it is necessary to take into full account influence of the various factors to thickness control, and eliminated with corresponding compensation function.
At present, automatic gauge control system is broadly divided into two kinds of control modes of GM-AGC and MN-AGC.Wherein GM-AGC moulds
Formula considers the factors such as roll state, mill speed, interstand tension, and MN-AGC is then by the belt steel thickness of actual measurement to GM-
AGC is modified.
In above-mentioned rolled piece method for controlling thickness, the rolled piece thickness prediction H of the milling train outlet side used：
H=F/M+Sr
Wherein：H represents the milling train outlet side rolled piece thickness of prediction, and F represents the roll-force that milling train is applied to rolled piece, M tables
Show mill stiffness, SrIt is expressed as the compensation carried out to mill roll-gap position.Wherein, the offset S carried out to mill roll-gap positionr：
Sr=S0+SWRS+SRW+SRH
Wherein：SrInclude following several breast roller roll gap compensation：S0It is expressed as breast roller roll gap mark zero；SOILFor machine
Frame roll changes the offset carried out in spin up procedure to breast roller oil film；SWRSIt is breast roller in transverse shifting
In the case of produced by breast roller roll shifting offset；SWRBThe frame produced for breast roller in the case of bowing under load power is rolled
Bending force compensating value；SRWFor the wear-compensating value produced in rolled piece production process to rolled piece to breast roller surface；SRHTo roll
Breast roller temperature change produces breast roller temperature compensation value in the part operation of rolling.Therefore, in above-mentioned rolled piece thickness control
Method does not make any examine to the rolled piece firmness change caused by rolled piece plastic working temperature change, i.e. rolled piece change in physical
Consider.
Patent CN103934278A discloses a kind of method that use computer program controls hot fine rolling band steel thickness, root
According to the detected value of the rolling actual achievement Value Data of frame, the belt steel thickness of computer rack outlet；Track the calculating belt steel thickness of frame
At the time of data reach frame, with reference to the rolling actual achievement Value Data of frame, strip is calculated in real time and passes through plastic coefficient during frame；
Strip plastic coefficient according to obtained by real-time calculate, determines frame adjustment amount of roll gap, and real-time feedforward control is carried out to belt steel thickness.
Although the patent can obtain the strip plastic coefficient of the different sections of one piece of rolled band steel, that is, it take into account rolled piece firmness change and draw
The strip plastic coefficient change risen, still, in the technical scheme, FxFrame adjustment amount of roll gap is according to thickness control deviation and band
Steel plastic coefficient is calculated and obtained, not in view of roll oil film thickness, roll roll shifting, roll bending roller force, roller surface abrasion, rolling
During influence of the thermal expansion of rollers to roller gap, be modified only with fixed compensation value.Therefore, the method for the patent is still
Milling train outlet side belt steel thickness control accuracy can be caused poor.Meanwhile, the control method may be only available for 2 framves and the tandem rolling of the above
In frame, the thickness control of singlestandmill is not suitable for.
The content of the invention
It is an object of the invention to provide a kind of on-line control system for improving rolled piece thickness control accuracy, by using rolling
Machine frame entrance side rolled piece temperature measuring equipment and milling train outlet side rolled piece measuring thickness device, compensate calculating to roller gap in real time,
The rolled piece thickness control accuracy eliminated caused by rolled piece plastic working temperature inequality is poor.
In order to solve the above technical problems, the following technical scheme of the present invention：
A kind of on-line control system for improving rolled piece thickness control accuracy includes：At least 1 rolling mill 4, inlet of rolling mill side 5
The rolled piece measuring thickness device 3 and rolled piece device for automatically control thickness 7 of rolled piece temperature measuring equipment 2, milling train outlet side 6；Rolled piece thickness is certainly
Dynamic control device 7 includes：Computational plasticity processing temperature rate of change influences the influence coefficient calculation unit of coefficient with thickness fluctuation
S100, computational plasticity processing temperature deviation and the temperature thickness compensation computing unit S200 of thickness fluctuation offset；Calculate material
The material physical properties amending unit S300 of physical-property parameter offset；Calculate the roller gap drift gage of roller gap deviation
Calculate cell S 400.
Further, in the S100 of the on-line control system of described raising rolled piece thickness control accuracy, by milling train outlet side 6
The rolled piece Thickness sensitivity value that measures of rolled piece measuring thickness device 3 and target thickness deviation and inlet of rolling mill side 5 rolled piece thermometric
Device 2 measures rolled piece plastic working rate of temperature change as variable, plastic working temperature deviation and the rolled piece target thickness of foundation
The relation function of deviation.
Further, in the S200 of the on-line control system of described raising rolled piece thickness control accuracy, fallen into a trap using S100
Result is calculated, the rolled piece thickness deviation δ H of prediction rolling-mill housing outlet side 6 are calculatedt+ΔtValue and for eliminate this rolled piece thickness deviation required for
Rolling-mill housing thickness compensation deviation δ h't+Δt：
δHt+Δt=Inf_coe × δ Tt+Δt+δHt；
Wherein：δHtThe rolled piece thickness and target control detected for the rolled piece measuring thickness device 3 of milling train outlet side 6 under t is thick
The deviation of degree；δHt+ΔtFor t+ Δs t (Δ t>0) inscribed when milling train outlet side 6 rolled piece measuring thickness device 3 detect rolled piece thickness with
The deviation of target control thickness；δTt+ΔtFor t+ Δs t (Δ t>0) detection of rolled piece temperature measuring equipment 2 of inlet of rolling mill side 5 is inscribed when
Rolled piece plastic working rate of temperature change；M is mill modulus；Q is rolled piece material plasticity coefficient.
Further, in the S300 of the on-line control system of described raising rolled piece thickness control accuracy, using different materials
Expect physical property parameter correction values, calculate the deviation δ h of the rolled piece thickness control of final milling train outlet side 6t+Δt：
δht+Δt=δ h't+Δt×α；
Wherein δ ht+ΔtFor t+ Δs t (Δ t>0) deviation of the rolled piece thickness control of moment milling train outlet side 6；α is material thing
Rationality matter parameter correction values.
Further, in the S400 of the on-line control system of described raising rolled piece thickness control accuracy, roller gap is calculated
Bias compensation value δ St+Δt：
Wherein δ St+ΔtFor t+ Δs t (Δ t>0) moment roller gap bias compensation value.
Compared with prior art, the present invention at least has the advantages that：
1. the present invention is set up using rolling-mill housing entrance side rolled piece temperature measuring equipment with milling train outlet side rolled piece measuring thickness device
Rolled piece plastic working temperature variation and the influence coefficient of rolled piece amounts of thickness variation are modified to breast roller roll gap, can be disappeared
Except milling train outlet side rolled piece thickness and target control thickness deviation is made because of rolled piece plastic working temperature inequality, rolled piece is improved overall thick
Spend control accuracy；
It is a kind of 2. the present invention is both applicable to Continuous mill train, it can also be used in the rolled piece thickness control of singlestandmill
Wide adaptation range and directly effective method for controlling thickness；
Implement 3. the present invention can be programmed using basic automatization controller, it is not necessary to which existing equipment or controller are carried out more
Change or transform and can be achieved, be a kind of method of economic and reliable.
Brief description of the drawings
Fig. 1 is to represent present device device and control flow chart,
Wherein, 1- rolled pieces, 2- rolled piece temperature measuring equipments, 3- rolled piece measuring thickness devices, 4- milling trains, 5- inlet of rolling mill side, 6- milling trains
Outlet side, 7- rolled piece device for automatically control thickness；
Fig. 2 is Strip1 coiled strip steel thickness control aberration curves；
Fig. 3 is Strip2 coiled strip steel thickness control aberration curves.
Embodiment
For better understanding of the above-mentioned technical proposal of the present invention, carry out with reference to the accompanying drawings and examples further
It is described in detail.
Fig. 1 be present device device and control flow chart, it is known that the present invention in improve rolled piece thickness control accuracy
Line control system includes：Rolled piece 1, at least 1 rolling mill 4, the rolled piece temperature measuring equipment 2 of inlet of rolling mill side 5, milling train outlet side 6 roll
Part measuring thickness device 3 and rolled piece device for automatically control thickness 7；Rolled piece device for automatically control thickness 7 includes：Computational plasticity processing temperature
Spending rate of change influences the influence coefficient calculation unit S100 of coefficient, computational plasticity processing temperature deviation and thickness ripple with thickness fluctuation
The temperature thickness compensation computing unit S200 of dynamic offset；The material physical properties for calculating material physical properties parameter offset are repaiied
Positive unit S300；The roller gap deviation for calculating roller gap deviation calculates cell S 400.
Influence in coefficient calculation unit S100, the rolled piece Thickness sensitivity that the rolled piece measuring thickness device 3 of milling train outlet side 6 is measured
Value and the deviation of target thickness and the measurement rolled piece plastic working rate of temperature change of rolled piece temperature measuring equipment 2 of inlet of rolling mill side 5 are made
For variable, the plastic working temperature deviation of foundation and the relation function of rolled piece target thickness deviation.
In temperature thickness compensation computing unit S200, using result of calculation in S100, prediction rolling-mill housing outlet side 6 is calculated
Rolled piece thickness deviation δ Ht+ΔtIt is worth and to eliminate the rolling-mill housing thickness compensation deviation δ h required for this rolled piece thickness deviation
't+Δt：
δHt+Δt=Inf_coe × δ Tt+Δt+δHt；
Wherein：δHtThe rolled piece thickness and target control detected for the rolled piece measuring thickness device 3 of milling train outlet side 6 under t is thick
The deviation of degree；δHt+ΔtFor t+ Δs t (Δ t>0) inscribed when milling train outlet side 6 rolled piece measuring thickness device 3 detect rolled piece thickness with
The deviation of target control thickness；δTt+ΔtFor t+ Δs t (Δ t>0) detection of rolled piece temperature measuring equipment 2 of inlet of rolling mill side 5 is inscribed when
Rolled piece plastic working rate of temperature change；M is mill modulus；Q is rolled piece material plasticity coefficient.
In material physical properties amending unit S300, using different material physical properties parameter correction values, calculate final
The deviation δ h of the rolled piece thickness control of milling train outlet side 6t+Δt：
δht+Δt=δ h't+Δt×α；
Wherein δ ht+ΔtFor t+ Δs t (Δ t>0) deviation of the rolled piece thickness control of moment milling train outlet side 6；α is material thing
Rationality matter parameter correction values.
Roller gap deviation is calculated in cell S 400, calculates roller gap bias compensation value δ St+Δt：
Wherein δ St+ΔtFor t+ Δs t (Δ t>0) moment roller gap bias compensation value.
It is that the on-line control system for improving rolled piece thickness control accuracy using the present invention eliminates rolled piece plastic working temperature below
The different specific steps influenceed on thickness control accuracy of degree：
The initiating terminal of rolled piece 1 detects rolled piece actually active through milling train 4 and in the rolled piece measuring thickness device 3 of rack outlet side 6
5s after data, starts rolled piece device for automatically control thickness 7；When the rolled piece temperature measuring equipment 2 of frame entrance side 5 detects obtained rolled piece
When 1 end end plastic working temperature data is invalid, stop rolled piece thickness self-control device 7.
The rolled piece thickness and target for detecting the rolled piece measuring thickness device 3 of milling train outlet side 6 at current time (t) in S100
Control the variable quantity δ H of the deviation of thicknesstThe rolled piece plasticity temperature obtained with the same rolled piece temperature measuring equipment 2 of period rolling-mill housing entrance side 5
Spend variable quantity δ TtConstitute first differential function.By above-mentioned derivation, function result of calculation can influence as rolled piece plastic temperature
Functional value Inf_coe.
According to S100 result of calculations in S200, t+ Δ t (Δ t=200ms) moment is predicted, the rolled piece of rolling-mill housing outlet side 6
Thickness deviation δ Ht+Δt：
δHt+Δt=Inf_coe × δ Tt+Δt+δHt,
Wherein, δ HtThe rolled piece thickness and target control thickness detected for the rolled piece measuring thickness device 3 of milling train outlet side under t 6
Deviation, δ Ht+ΔtInscribed during for t+ Δ t (Δ t=200ms) the rolled piece measuring thickness device of milling train outlet side 6 detection rolled piece thickness with
The deviation of target control thickness；δTt+ΔtThe rolled piece temperature measuring equipment 2 of inlet of rolling mill side 5 is inscribed during for t+ Δ t (Δ t=200ms) to detect
Rolled piece plastic working temperature variation.
By rolled piece thickness deviation δ Ht+ΔtObtain inscribing rolling-mill housing thickness compensation deviation δ during t+ Δ t (Δ t=200ms)
h't+Δt：
Wherein, δ h't+ΔtRolling-mill housing thickness compensation deviation corresponding to rolled piece thickness deviation；M is mill modulus, Q
For rolled piece material plasticity coefficient.
Because the plastic working rate of temperature change of the rolled piece (1) of different components system and the variable quantity of resistance of deformation are in the presence of poor
It is different.
The rolled piece 1 of close composition system is divided into together by S300 by the way that the rolled piece 1 of different components system is finely divided
One steel grade race, different steel grade race uses different material physical properties parameter correction values, and calculating obtains final subsequent time and rolled
The poor δ h of the rolled piece thickness control of machine outlet side 6t+Δt：
δht+Δt=δ h't+Δt× α,
Wherein δ ht+ΔtFor t+ Δs t (Δ t>0) deviation of the rolled piece thickness control of moment milling train outlet side 6；α is material thing
Rationality matter parameter correction values.
The rolled piece thickness control deviation δ h that S400 is obtained according to calculatingt+Δt, it is determined that the compensation to rolling mill roll roll gap deviation
Value δ St+Δt：
Tandem mill of the on-line control system of the raising rolled piece thickness control accuracy of the present invention in 1700mm hot rolling lines
The last frame F6 of group is carried out, and the belt steel temperature detection means before last frame F6 is examined with last rack outlet side belt steel thickness
Survey device and collectively form measured data, and carry out the On-line Control of belt steel thickness.After the present invention is implemented, 1700mm hot rolling lines
Belt steel thickness control accuracy significantly improve.
As com-parison and analysis, carry out not using the present invention and the method for controlling thickness using the present invention respectively, to reality
Volume two identical steel grade, the strip finished product thickness curves of specification are contrasted.Wherein, steel grade shown in contrasting is all J40BNNB2, and
The plastic working temperature trend for carrying out the strip of com-parison and analysis is close, and target finished product thickness is all 3.75mm.
The belt steel thickness controlling curve not rolled using the present invention is as shown in Fig. 2 from fig. 2 it can be seen that strip is thick
The plastic working temperature for spending control deviation and strip is closely related, and both overall fluctuations have negatively correlated trend：Strip1 volumes
There is peak value, overproof 100um in plastic working temperature low spot belt steel thickness in strip, and integral thickness control accuracy is 96.1% (control
Deviation 50um processed).The belt steel thickness controlling curve rolled using the present invention is as shown in figure 3, as can see from Figure 3：
Strip2 volumes, with Strip1 coiled strip steel plastic working temperature fluctuation similar temperaments, all has plastic working temperature low spot, but Strip2
Thickness control deviation crest corresponding to the plastic working temperature low spot of volume has been eliminated, and this volume thickness control aberration curve is obtained
It is obviously improved, integral thickness control accuracy reaches 98.5% (control deviation 50um).The present invention that table 1 show comes into operation front and rear steel grade
For J40BNNB2 thickness control accuracy statistics.
The implementation result of the present invention of table 1
It can be seen from Table 1 that：After the present invention comes into operation, the thickness control accuracy of different-thickness specification can improve more than 2%.
Although the open section Example of the present invention, is not for limiting the present invention.The present invention can also have other many
Embodiment is planted, those skilled in the art can make various corresponding changes according to the present invention, but these corresponding change all should
Belong to the protection domain of claim appended by the present invention.
Claims (5)
1. a kind of on-line control system for improving rolled piece thickness control accuracy, it is characterised in that the on-line control system includes：Extremely
Few 1 rolling mill (4), the rolled piece temperature measuring equipment (2) of inlet of rolling mill side (5), milling train outlet side (6) rolled piece measuring thickness device (3) with
And rolled piece device for automatically control thickness (7)；Rolled piece device for automatically control thickness (7) includes：Computational plasticity processing temperature rate of change
The influence coefficient calculation unit S100 of coefficient, computational plasticity processing temperature deviation and thickness fluctuation offset are influenceed with thickness fluctuation
Temperature thickness compensation computing unit S200；Calculate the material physical properties amending unit of material physical properties parameter offset
S300；The roller gap deviation for calculating roller gap deviation calculates cell S 400.
2. the on-line control system according to claim 1 for improving rolled piece thickness control accuracy, it is characterised in that described
In S100, the rolled piece Thickness sensitivity value and the deviation of target thickness that the rolled piece measuring thickness device (3) of milling train outlet side (6) is measured
Variable, the plasticity of foundation are used as with rolled piece temperature measuring equipment (2) the measurement rolled piece plastic working rate of temperature change of inlet of rolling mill side (5)
The relation function of processing temperature deviation and rolled piece target thickness deviation.
3. the on-line control system according to claim 1 for improving rolled piece thickness control accuracy, it is characterised in that described
In S200, using result of calculation in S100, prediction rolling-mill housing outlet side (6) rolled piece thickness deviation δ H are calculatedt+ΔtValue and to disappear
Except the rolling-mill housing thickness compensation deviation δ h' required for this rolled piece thickness deviationt+Δt：
δHt+Δt=Inf_coe × δ Tt+Δt+δHt；
Wherein：δHtIt is thick for the rolled piece thickness of rolled piece measuring thickness device (3) detection of milling train outlet side (6) and target control under t
The deviation of degree；δHt+ΔtFor t+ Δs t (Δ t>0) rolled piece that rolled piece measuring thickness device (3) detection of milling train outlet side (6) is inscribed when is thick
The deviation of degree and target control thickness；δTt+ΔtFor t+ Δs t (Δ t>0) the rolled piece temperature measuring equipment of inlet of rolling mill side (5) is inscribed when
(2) the rolled piece plastic working rate of temperature change of detection；M is mill modulus；Q is rolled piece material plasticity coefficient.
4. the on-line control system according to claim 1 for improving rolled piece thickness control accuracy, it is characterised in that described
In S300, using different material physical properties parameter correction values, the rolled piece thickness control of final milling train outlet side (6) is calculated
Deviation δ ht+Δt：
δht+Δt=δ h't+Δt×α；
Wherein δ ht+ΔtFor t+ Δs t (Δ t>0) deviation of moment milling train outlet side (6) rolled piece thickness control；α is Material Physics
Nature parameters correction value.
5. the on-line control system according to claim 1 for improving rolled piece thickness control accuracy, it is characterised in that described
In S400, roller gap bias compensation value δ S are calculatedt+Δt：
Wherein δ St+ΔtFor t+ Δs t (Δ t>0) moment roller gap bias compensation value.
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109141611A (en) * | 2018-08-16 | 2019-01-04 | 马鞍山钢铁股份有限公司 | A kind of self-supervisory method of coil of strip weight |
| CN109821909A (en) * | 2019-02-27 | 2019-05-31 | 江苏省沙钢钢铁研究院有限公司 | Method for controlling thickness deviation of two sides of wide and thick plate |
| CN110008601A (en) * | 2019-04-09 | 2019-07-12 | 鞍钢股份有限公司 | Hot rolling AGC system based on product quality comprehensive coordination control |
| CN111054762A (en) * | 2019-12-09 | 2020-04-24 | 铜陵有色金属集团股份有限公司金威铜业分公司 | Method for quickly controlling target thickness of plate and strip mill |
| CN112808780A (en) * | 2020-12-31 | 2021-05-18 | 浦项(张家港)不锈钢股份有限公司 | Method for calculating rolling target thickness of cold rolling mill |
| CN113843286A (en) * | 2021-08-31 | 2021-12-28 | 欧开来 | Optical fiber sensing intelligent monitoring system |
| CN117019882A (en) * | 2023-08-24 | 2023-11-10 | 北京科技大学 | Automatic thickness feedforward control method for strip steel cold continuous rolling in consideration of hot rolling incoming material information |
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