JPH0550143A - Method for predicting rolling temp. of steel sheet on hot rolling - Google Patents
Method for predicting rolling temp. of steel sheet on hot rollingInfo
- Publication number
- JPH0550143A JPH0550143A JP3213729A JP21372991A JPH0550143A JP H0550143 A JPH0550143 A JP H0550143A JP 3213729 A JP3213729 A JP 3213729A JP 21372991 A JP21372991 A JP 21372991A JP H0550143 A JPH0550143 A JP H0550143A
- Authority
- JP
- Japan
- Prior art keywords
- temperature
- rolling
- steel sheet
- estimated
- rolling temperature
- 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.)
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Links
Abstract
Description
【0001】[0001]
【産業上の利用分野】本発明は、熱間圧延ラインにおい
て圧延中の鋼板の圧延温度を予測する方法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for predicting a rolling temperature of a steel sheet being rolled in a hot rolling line.
【0002】[0002]
【従来の技術】熱間圧延における圧延温度予測技術は、
鋼板を高歩留でしかも良好な寸法精度で製造する上で必
要な板厚・平坦度制御および板幅・平面形状制御の重要
な基本要素技術であるとともに、制御圧延鋼板における
材質の安定化のために不可欠な技術である。2. Description of the Related Art A technique for predicting rolling temperature in hot rolling is
It is an important basic element technology of the plate thickness / flatness control and the plate width / planar shape control necessary for manufacturing a steel plate with a high yield and good dimensional accuracy. This is an essential technology for.
【0003】従来、圧延温度を予測する手段としては、
次のおよびのような手段が採られている。Conventionally, as means for predicting the rolling temperature,
The following measures such as and are taken.
【0004】粗圧延工程においては、表面温度を予測
し、これを圧延温度として採用する。仕上げ圧延工程に
おいては、粗圧延後に計測した表面温度から温度計測時
点での平均温度を推定し、それを基点に計測時点以降の
圧延温度を予測する。In the rough rolling process, the surface temperature is predicted and used as the rolling temperature. In the finish rolling step, the average temperature at the time of temperature measurement is estimated from the surface temperature measured after rough rolling, and the rolling temperature after the measurement time is predicted based on that average temperature.
【0005】HSB(水平スケールブレーカー)終了後
に計測した表面温度から抽出温度を推定し、それを基点
に粗圧延から仕上げ圧延までの全工程における圧延温度
を予測する。The extraction temperature is estimated from the surface temperature measured after the completion of the HSB (horizontal scale breaker), and the rolling temperature in all the processes from rough rolling to finish rolling is predicted with this as a base point.
【0006】[0006]
【発明が解決しようとする課題】しかしながら、上述し
た従来手段,では、それぞれ以下のような課題があ
った。However, the above-mentioned conventional means have the following problems, respectively.
【0007】つまり、手段の場合、表面温度を圧延温
度とみなすことは不可能であるため、予測精度は悪くな
る。また、計測温度から平均温度を推定する際に、前工
程での温度履歴が取り入れられていないため、板厚が大
きい場合には予測精度が悪くなる。That is, in the case of the means, it is impossible to regard the surface temperature as the rolling temperature, so that the prediction accuracy becomes poor. Further, when the average temperature is estimated from the measured temperature, the temperature history in the previous process is not taken in, so that the prediction accuracy becomes poor when the plate thickness is large.
【0008】また、手段の場合、HSB後の温度計測
時点では、表面温度は鋼板の表面近傍の温度により支配
されているため、鋼板内部の温度偏差を抽出温度の推定
値に取り入れることが困難である。そのため、抽出時に
温度偏差を有する場合、温度管理上、特に重要な仕上げ
圧延工程において高精度に圧延温度を予測することがで
きない。Further, in the case of the means, since the surface temperature is governed by the temperature near the surface of the steel sheet at the time of measuring the temperature after HSB, it is difficult to incorporate the temperature deviation inside the steel sheet into the estimated value of the extraction temperature. is there. Therefore, when there is a temperature deviation at the time of extraction, it is not possible to accurately predict the rolling temperature in the finish rolling step which is particularly important for temperature control.
【0009】本発明は、このような課題を解決しようと
するもので、粗圧延工程から仕上げ圧延工程までの一貫
工程において圧延温度を高精度に予測できるようにし
た、熱間圧延における鋼板の圧延温度予測方法を提供す
ることを目的とする。The present invention is intended to solve such a problem, and is a method for rolling a steel sheet in hot rolling, which enables highly accurate prediction of the rolling temperature in an integrated process from a rough rolling process to a finish rolling process. An object is to provide a temperature prediction method.
【0010】[0010]
【課題を解決するための手段】上記目的を達成するため
に、本発明の熱間圧延における鋼板の圧延温度予測方法
は、脱スケール後で粗圧延開始前に前記鋼板の表面温度
を計測し、該表面温度に基づいて前記鋼板の抽出温度も
しくは計測時点における該鋼板の板厚方向圧延温度分布
を推定し、該推定結果を初期値として温度計測時点以降
の圧延温度予測を行なう一方で、前記粗圧延以降に前記
鋼板の表面温度を計測し、該表面温度と前記圧延温度予
測に基づく推定表面温度との差に基づいて、前記圧延温
度予測による推定抽出温度および推定圧延温度分布を修
正し、前記粗圧延以降の圧延温度予測を行なうことを特
徴としている。In order to achieve the above object, the method for predicting the rolling temperature of a steel sheet in hot rolling according to the present invention is to measure the surface temperature of the steel sheet after descaling and before starting rough rolling, Based on the surface temperature, the extraction temperature of the steel sheet or the strip temperature rolling temperature distribution of the steel sheet at the time of measurement is estimated, and the estimation result is used as an initial value to predict the rolling temperature after the time of temperature measurement, while Measure the surface temperature of the steel sheet after rolling, based on the difference between the surface temperature and the estimated surface temperature based on the rolling temperature prediction, correct the estimated extraction temperature and the estimated rolling temperature distribution by the rolling temperature prediction, It is characterized by predicting the rolling temperature after rough rolling.
【0011】[0011]
【作用】脱スケール後の温度計測時点において表面温度
は鋼板の表面近傍の温度により支配されているため、鋼
板内部の温度偏差を抽出温度の推定値に取り入れること
が困難であるが、上述した本発明の熱間圧延における鋼
板の圧延温度予測方法では、粗圧延以降に計測した鋼板
の表面温度と圧延温度予測に基づく推定表面温度との差
に基づいて、圧延温度予測値を修正することにより、圧
延温度を高精度で予測できるようになる。[Operation] Since the surface temperature is controlled by the temperature near the surface of the steel sheet at the time of measuring the temperature after descaling, it is difficult to incorporate the temperature deviation inside the steel sheet into the estimated value of the extraction temperature. In the rolling temperature prediction method of the steel sheet in the hot rolling of the invention, based on the difference between the surface temperature of the steel sheet measured after rough rolling and the estimated surface temperature based on the rolling temperature prediction, by correcting the rolling temperature prediction value, The rolling temperature can be predicted with high accuracy.
【0012】[0012]
【実施例】以下、図面により本発明の一実施例としての
熱間圧延における鋼板の圧延温度予測方法について説明
すると、図1は本実施例の方法を適用される装置の一例
を示す構成図である。DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS A method for predicting a rolling temperature of a steel sheet in hot rolling as an embodiment of the present invention will be described below with reference to the drawings. FIG. 1 is a block diagram showing an example of an apparatus to which the method of this embodiment is applied. is there.
【0013】本実施例の方法による圧延温度予測手順を
説明する前に、図1により本実施例の方法を適用される
装置について説明すると、この図1に示すように、鋼板
1は、バッチ炉2,加熱炉3により加熱された後、水平
スケールブレーカー(HSB)4,ヴァーティカルエッジ
ャー(VE)5により脱スケールを施された後、粗ミル6
により粗圧延を施され、さらに仕上げミル7により仕上
げ圧延を施されるようになっている。Before explaining the rolling temperature prediction procedure according to the method of the present embodiment, an apparatus to which the method of the present embodiment is applied will be described with reference to FIG. 1. As shown in FIG. 2, after being heated by the heating furnace 3, after being descaled by a horizontal scale breaker (HSB) 4 and a vertical edger (VE) 5, a coarse mill 6
Rough rolling is carried out, and further finish rolling is carried out by the finishing mill 7.
【0014】そして、図1において、8は脱スケール後
で粗圧延開始前に鋼板1の表面温度を計測する温度計、
9は粗圧延以降に鋼板1の表面温度を計測する温度計で
あり、これらの温度計8,9による計測結果に基づい
て、以下のようにして、鋼板1の圧延温度予測が行なわ
れる。In FIG. 1, 8 is a thermometer for measuring the surface temperature of the steel sheet 1 after descaling and before the start of rough rolling,
Reference numeral 9 is a thermometer for measuring the surface temperature of the steel sheet 1 after the rough rolling, and the rolling temperature of the steel sheet 1 is predicted in the following manner based on the measurement results of the thermometers 8 and 9.
【0015】つまり、まず、HSB4,VE5による脱
スケール後で粗ミル6による圧延開始前の時点におい
て、温度計8により鋼板1の表面温度を計測し、その計
測表面温度に基づいて鋼板1の抽出温度もしくは計測時
点での鋼板1の板厚方向圧延温度分布を推定する(プロ
セス1)。その推定方法は以下の通りである。That is, first, the surface temperature of the steel sheet 1 is measured by the thermometer 8 at the time after the descaling by the HSB 4 and the VE 5 and before the start of rolling by the rough mill 6, and the steel sheet 1 is extracted based on the measured surface temperature. The temperature or rolling temperature distribution of the steel sheet 1 in the thickness direction at the time of measurement is estimated (process 1). The estimation method is as follows.
【0016】前提条件として、計測時点における板厚方
向温度分布T(x)を次式(1)で示すN次多項式で表わす。As a precondition, the temperature distribution T (x) in the plate thickness direction at the time of measurement is represented by an Nth degree polynomial expressed by the following equation (1).
【0017】[0017]
【数1】 [Equation 1]
【0018】ただし、xは鋼板1の板厚方向位置、TS
は温度計8により計測される鋼板1の表面温度、TCは
鋼板1の板厚中央温度、Hはスラブ厚である。Where x is the position in the plate thickness direction of the steel plate 1, T S
Is the surface temperature of the steel plate 1 measured by the thermometer 8, T C is the plate thickness center temperature of the steel plate 1, and H is the slab thickness.
【0019】ここで、板厚中温度TCは、鋼板1の板厚
方向の一次元熱伝導方程式に基づく次式(4)により導出
される。Here, the medium thickness temperature T C is derived by the following equation (4) based on the one-dimensional heat conduction equation in the thickness direction of the steel sheet 1.
【0020】[0020]
【数2】 [Equation 2]
【0021】ただし、Sは抽出から脱スケール後の温度
計測位置に異たるまでの冷却形態の数、Δtjは各冷却
形態における冷却時間、N,Djはそれぞれ次式(5),(6)
で表わされるものである。However, S is the number of cooling modes from extraction to different temperature measurement positions after descaling, Δt j is the cooling time in each cooling mode, and N and D j are the following equations (5) and (6), respectively. )
Is represented by.
【0022】 N=g(H,Δt1) (5) Dj=fj(H,Δtj) (6) (4)式により板厚中央温度TCが求まり、(2),(3)式によ
りA,Bが決定されるほか、(5)式によりNが決定さ
れ、温度計測時点における板厚方向温度分布T(x)が、
(1)式を用いて算定される。N = g (H, Δt 1 ) (5) D j = f j (H, Δt j ) (6) (4) The plate thickness central temperature T C is obtained from the equations, and (2), (3) Besides A and B are determined by the equation, N is determined by the equation (5), and the temperature distribution T (x) in the plate thickness direction at the time of temperature measurement is
It is calculated using equation (1).
【0023】次に、H≧150mmでは、TC=T0(抽出
温度)であるので、抽出温度を(4)式により算定すること
ができる。Next, since T C = T 0 (extraction temperature) when H ≧ 150 mm, the extraction temperature can be calculated by the equation (4).
【0024】以上のようにして推定された抽出温度もし
くは計測時点における板厚方向温度分布を初期値とし
て、粗ミル6による粗圧延工程において、鋼板1内部の
温度を考慮した圧延温度予測を行なう。その圧延温度予
測方法は以下の通りである。With the extraction temperature estimated as described above or the temperature distribution in the plate thickness direction at the time of measurement as an initial value, in the rough rolling process by the rough mill 6, the rolling temperature prediction is performed in consideration of the temperature inside the steel sheet 1. The rolling temperature prediction method is as follows.
【0025】鋼板1の板厚方向温度分布を、次式(7)で
示すN次多項式で表わす。The temperature distribution in the plate thickness direction of the steel plate 1 is represented by an Nth degree polynomial expressed by the following equation (7).
【0026】[0026]
【数3】 [Equation 3]
【0027】鋼板1の板厚方向の一次元熱伝導方程式の
解析解を基本としたモデルから、次の(8)〜(10)式に示
すA,B,Nの基本式を作成する。From the model based on the analytical solution of the one-dimensional heat conduction equation in the plate thickness direction of the steel sheet 1, the basic equations A, B and N shown in the following equations (8) to (10) are created.
【0028】 A=f1(αj,Hj,Δtj) (8) B=f2(αj,Hj,Δtj) (9) N=f3(αj,Hj,Δtj) (10) ただし、αjは各圧延工程の冷却形態に応じた熱伝達
率、Δtjは冷却時間である。A = f 1 (α j , H j , Δt j ) (8) B = f 2 (α j , H j , Δt j ) (9) N = f 3 (α j , H j , Δt j (10) where α j is the heat transfer coefficient according to the cooling mode of each rolling process, and Δt j is the cooling time.
【0029】各圧延工程において、(8)〜(10)式により
A,B,Nを求めることにより、(7)式にて鋼板1の板
厚方向温度分布を算定でき、この結果、鋼板1の平均温
度,板厚中央温度および表面温度の各々について予測を
行なうことができる。In each rolling process, the temperature distribution in the plate thickness direction of the steel sheet 1 can be calculated by the equation (7) by obtaining A, B and N by the equations (8) to (10). As a result, the steel sheet 1 It is possible to make predictions for each of the average temperature, the center temperature of the plate thickness, and the surface temperature.
【0030】しかし、前述したように、脱スケール後の
計測表面温度から抽出温度を推定する場合、鋼板1内部
の温度偏差を推定値に取り入れることは困難である。However, as described above, when estimating the extraction temperature from the measured surface temperature after descaling, it is difficult to incorporate the temperature deviation inside the steel sheet 1 into the estimated value.
【0031】そこで、粗圧延工程以降(粗ミル6と仕上
げ圧延ミル7との間)に、温度計9により鋼板1の表面
温度を計測し、その計測温度と(7)〜(10)式にて予測・
算定した計測時点での表面温度との差に基づいて、(1)
〜(6)式にて推定した抽出温度および計測時点での圧延
温度の予測値を修正することにより、仕上げ圧延工程に
おいて圧延温度予測を高精度で行なうことが可能になる
(プロセス2)。Therefore, after the rough rolling step (between the rough mill 6 and the finish rolling mill 7), the surface temperature of the steel sheet 1 is measured by the thermometer 9, and the measured temperature and the equations (7) to (10) are used. Forecast
Based on the calculated difference from the surface temperature at the time of measurement, (1)
~ By correcting the extraction temperature estimated by equation (6) and the predicted value of the rolling temperature at the time of measurement, it becomes possible to accurately predict the rolling temperature in the finish rolling process.
(Process 2).
【0032】このような本実施例の予測方法を実際に適
用した際の具体的な数値例について、図2〜図4を用い
て説明する。Specific numerical examples when the prediction method of this embodiment is actually applied will be described with reference to FIGS.
【0033】(a)例えば、鋼板としては、スラブ厚28
0mm,移送厚59mm,仕上げ厚15mmのものを用いる。
また、本方法を実施するに先立って、効果を把握するた
めに対象とする鋼板の抽出温度と各圧延工程における温
度推移とを求めた結果、以下のようになった。(A) For example, as a steel plate, the slab thickness 28
Use 0 mm, transfer thickness 59 mm, finish thickness 15 mm.
Further, as a result of obtaining the extraction temperature of the target steel sheet and the temperature transition in each rolling process in order to grasp the effect before carrying out the present method, the results are as follows.
【0034】(b)この鋼板の抽出時における温度は、二
次元差分法によるスラブの加熱炉内温度計算により求め
た結果、表面温度1230℃,板厚中央温度1130
℃,平均温度1205℃であった。(B) The temperature at the time of extraction of this steel sheet was obtained by calculating the temperature in the heating furnace of the slab by the two-dimensional difference method.
The average temperature was 1205 ° C.
【0035】(c)上記抽出温度を初期温度として、差分
法により一次元熱伝導方程式を解くと、鋼板の温度推移
は、図2に示すように求められ、その表面温度は実測値
と±10℃の誤差で一致していることから、本方法の精
度検証は、この差分法により求めた値との比較により行
なう。(C) When the one-dimensional heat conduction equation is solved by the difference method using the above extraction temperature as the initial temperature, the temperature transition of the steel sheet is obtained as shown in FIG. 2, and the surface temperature is ± 10 with the measured value. Since there is a coincidence in the error of ° C, the accuracy verification of this method is performed by comparison with the value obtained by this difference method.
【0036】(d)以上の鋼板に対して本方法を実施した
結果を以下に説明する。(D) The results of carrying out the present method on the above steel sheets will be described below.
【0037】(e)脱スケール終了後で粗圧延開始前にお
ける計測表面温度は1107℃である。この計測温度に
基づいて本方法で推定した抽出温度は、板厚方向に一様
に1230℃となり、実際の抽出時の平均温度(120
5℃)との差は25℃である。(E) The surface temperature measured after descaling and before rough rolling is 1107 ° C. The extraction temperature estimated by this method based on this measured temperature is 1230 ° C uniformly in the plate thickness direction, and the average temperature (120
5 ° C) is 25 ° C.
【0038】(f)そして、推定した抽出温度(1230
℃)を基点にして本方法により予測した圧延温度の予測
誤差は、図3に示すように、平均温度について、粗圧延
工程で20〜25℃,仕上げ圧延工程で15〜20℃と
なる。(F) Then, the estimated extraction temperature (1230
As shown in FIG. 3, the prediction error of the rolling temperature predicted by this method based on (° C.) is 20 to 25 ° C. in the rough rolling process and 15 to 20 ° C. in the finish rolling process, as shown in FIG.
【0039】(g)次に、粗圧延後で仕上げ圧延開始前の
計測温度により、(e)での推定抽出温度および(f)での圧
延温度の予測値を以下のように修正する。(G) Next, the estimated temperature in (e) and the predicted value of the rolling temperature in (f) are corrected as follows by the measured temperature after rough rolling and before the start of finish rolling.
【0040】(h)即ち、粗圧延後で仕上げ圧延開始前に
計測した鋼板の表面温度は1001℃であり、一方、温
度計測時点における(f)の方法により予測した表面温度
は1024℃となり、両者の差は23℃となる。(H) That is, the surface temperature of the steel sheet measured after rough rolling and before the start of finish rolling is 1001 ° C., while the surface temperature predicted by the method (f) at the time of temperature measurement is 1024 ° C. The difference between the two is 23 ° C.
【0041】(i)この差23℃に基づいて、推定抽出温
度は板厚方向に一様に1207℃と修正され、実際の抽
出時の平均温度1205℃との差は2℃となる。(I) Based on this difference of 23 ° C., the estimated extraction temperature is uniformly corrected to 1207 ° C. in the plate thickness direction, and the difference from the average temperature 1205 ° C. during actual extraction is 2 ° C.
【0042】(j)一方、圧延温度の予測値についても、
この差23℃により修正することで、仕上げ圧延温度の
予測誤差は平均温度について、図4に示すように、1〜
2℃となり高精度に圧延温度予測を行なえるのである。(J) On the other hand, the predicted value of the rolling temperature also
By correcting with this difference of 23 ° C., the prediction error of the finish rolling temperature is about 1 to 2 as shown in FIG.
It becomes 2 ° C and the rolling temperature can be predicted with high accuracy.
【0043】このように、本実施例の圧延温度予測方法
によれば、粗圧延工程から仕上げ圧延工程までの一貫工
程において圧延温度を高精度に予測することができる。As described above, according to the rolling temperature predicting method of this embodiment, the rolling temperature can be predicted with high accuracy in the integrated process from the rough rolling process to the finish rolling process.
【0044】なお、本発明の方法により推定した鋼板の
抽出温度を、加熱炉のスラブ温度制御に対して、学習項
として採用してもよい。The extraction temperature of the steel sheet estimated by the method of the present invention may be adopted as a learning term for the slab temperature control of the heating furnace.
【0045】[0045]
【発明の効果】以上詳述したように、本発明の熱間圧延
における鋼板の圧延温度予測方法によれば、粗圧延以降
に計測した鋼板の表面温度と圧延温度予測に基づく推定
表面温度との差に基づいて、圧延温度予測値を修正する
ことにより、粗圧延工程から仕上げ圧延工程までの一貫
工程において圧延温度を高精度に予測できる効果があ
る。As described in detail above, according to the method for predicting the rolling temperature of a steel sheet in hot rolling of the present invention, the surface temperature of the steel sheet measured after the rough rolling and the estimated surface temperature based on the rolling temperature prediction are calculated. By correcting the rolling temperature predicted value based on the difference, there is an effect that the rolling temperature can be predicted with high accuracy in the integrated process from the rough rolling process to the finish rolling process.
【図1】本発明の一実施例としての熱間圧延における鋼
板の圧延温度予測方法を適用される装置の一例を示す構
成図である。FIG. 1 is a configuration diagram showing an example of an apparatus to which a rolling temperature prediction method for a steel sheet in hot rolling as an embodiment of the present invention is applied.
【図2】差分法により求めた本実施例の鋼板の各圧延工
程における温度推移を示すグラフである。FIG. 2 is a graph showing a temperature transition in each rolling process of the steel sheet of this example obtained by the difference method.
【図3】プロセス1により推定した抽出温度を初期値と
して本実施例の方法にて予測した各圧延工程における圧
延温度を示すグラフである。FIG. 3 is a graph showing the rolling temperature in each rolling process predicted by the method of the present example, with the extraction temperature estimated by the process 1 as an initial value.
【図4】プロセス2により修正した後の圧延温度を示す
グラフである。FIG. 4 is a graph showing rolling temperature after correction according to process 2.
1 鋼板 2 バッチ炉 3 加熱炉 4 水平スケールブレーカー(HSB) 5 ヴァーティカルエッジャー(VE) 6 粗ミル 7 仕上げミル 8,9 温度計 1 Steel plate 2 Batch furnace 3 Heating furnace 4 Horizontal scale breaker (HSB) 5 Vertical edger (VE) 6 Coarse mill 7 Finishing mill 8.9 Thermometer
Claims (1)
抽出温度および圧延温度を予測するに際して、 脱スケール後で粗圧延開始前に前記鋼板の表面温度を計
測し、該表面温度に基づいて前記鋼板の抽出温度もしく
は計測時点における該鋼板の板厚方向圧延温度分布を推
定し、該推定結果を初期値として温度計測時点以降の圧
延温度予測を行なう一方で、 前記粗圧延以降に前記鋼板の表面温度を計測し、該表面
温度と前記圧延温度予測に基づく推定表面温度との差に
基づいて、前記圧延温度予測による推定抽出温度および
推定圧延温度分布を修正し、前記粗圧延以降の圧延温度
予測を行なうことを特徴とする熱間圧延における鋼板の
圧延温度予測方法。1. When predicting an extraction temperature and a rolling temperature of a steel sheet during rolling in a hot rolling line, a surface temperature of the steel sheet is measured after descaling and before rough rolling is started, and the surface temperature is measured based on the surface temperature. The strip temperature rolling temperature distribution of the steel sheet at the extraction temperature of the steel sheet or at the time of measurement is estimated, and while the rolling temperature is predicted after the temperature measurement time using the estimation result as an initial value, the surface of the steel sheet after the rough rolling is performed. Temperature is measured, based on the difference between the surface temperature and the estimated surface temperature based on the rolling temperature prediction, the estimated extraction temperature and the estimated rolling temperature distribution by the rolling temperature prediction are corrected, and the rolling temperature prediction after the rough rolling is performed. A method for predicting the rolling temperature of a steel sheet in hot rolling, which comprises performing
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JP3213729A JP2786760B2 (en) | 1991-08-26 | 1991-08-26 | Prediction method of rolling temperature of steel sheet in hot rolling |
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---|---|---|---|
JP3213729A JP2786760B2 (en) | 1991-08-26 | 1991-08-26 | Prediction method of rolling temperature of steel sheet in hot rolling |
Publications (2)
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JPH0550143A true JPH0550143A (en) | 1993-03-02 |
JP2786760B2 JP2786760B2 (en) | 1998-08-13 |
Family
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