JPH0526569B2 - - Google Patents
Info
- Publication number
- JPH0526569B2 JPH0526569B2 JP2831486A JP2831486A JPH0526569B2 JP H0526569 B2 JPH0526569 B2 JP H0526569B2 JP 2831486 A JP2831486 A JP 2831486A JP 2831486 A JP2831486 A JP 2831486A JP H0526569 B2 JPH0526569 B2 JP H0526569B2
- Authority
- JP
- Japan
- Prior art keywords
- steel plate
- bending
- hot
- flatness
- straightening
- 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.)
- Expired - Fee Related
Links
Landscapes
- Straightening Metal Sheet-Like Bodies (AREA)
Description
〔産業上の利用分野〕
本発明は、ベンデング機構を備えたホツトレベ
ラーにより熱間鋼板の形状を矯正するに当り、そ
のベンデング量を設定するベンデング制御方法に
関する。
〔従来の技術〕
ホツトレベラーにより厚鋼板の薄物材を矯正す
るとき、従来は、専ら矯正前の平坦度を測定し、
そのデータに基づきホツトレベラーのベンデング
量を設定していた。
〔発明が解決しようとする問題点〕
しかし、上記従来方法では、矯正直後の平坦度
が良好であつても鋼板の冷却過程で生じる形状変
化により平坦度が悪化するという問題があつた。
そこで、本発明の目的は、冷却過程での形状変
化も加味したホツトレベラーのベンデング制御方
法を提供することにある。
〔問題点を解決するための手段〕
上記目的を達成するため、本発はベンデング機
構を有する熱間鋼板のホツトレベラーにおいて、
そのベンデング量を定めるにあたり、鋼板の矯正
時前の平坦度および、巾方向の温度分布を測定
し、そのデータに基づき矯正後の冷却過程での形
状変化を推定し、その形状変化を加味してホツト
レベラーのベンデング量を設定することを特徴と
する。
一般に、レベラー矯正時には、鋼板のセンター
とエツジとの間に温度差ΔTが存在する。この温
度差は鋼板が冷却するに従つて小さくなり、温度
分布は均一になる。しかし、この冷却過程で、鋼
板のセンターとエツジとの間に収縮差が生じ、こ
れが基になつて鋼板に耳波が発生する。この耳波
の波長を2lC、波高をhとすると、温度差ΔTとの
間には、
ΔT=1/16α(πh/lc)2
ただし、α:鋼板の線膨張係数
がある。従つて、レベラー矯正時又前の温度差
ΔTを測定することにより冷却後の耳波高さhを
推定することができ、これを加味してベンデング
量を設定することができる。
〔作 用〕
本発明によれば、巾方向の温度分布による歪を
も除去するものであるから、冷却後の鋼板の平坦
度を向上させることができる。
〔実施例〕
以下、図面を参照して本発明の実施例を説明す
る。
第1図は、本発明で用いられる装置の概略を示
したものである。図中、1はライン上を流れる熱
間厚鋼板、2は矯正前の平坦度を測定する平坦度
計、3は厚鋼板1の巾方向温度を測定する温度計
である。これら両計測器2,3より得られたデー
タπh/lC,ΔTがCPU4に入力され、ここにおいて
鋼板1冷却後の形状変化が予測され、冷却後の平
坦度が零になるようにベンデング量δが計算され
る。ここで計算されたベンデング量δフイードフ
オワードでホツトレベラー5に与えられる。
次にベンデング量計算理論式を説明する。温度
降下による計算残留伸び歪差をΔεh(Δεh>0)と
すると、レベリング後の狙い残留伸び歪差はΔε0
=Δεhとなる。
今、第2図の如く、伸び歪差Δεiを有する鋼板
1をレベリングしたとき、Δε0の伸び歪差が残留
するものとすれば、
Δε0=k・(1−ξ)・Δεi ……(1)
ただし、ξ:塑性変形率
(1−ξ):伸び差減少率
k:定数(実験により求める)
の関係が成り立つ。
ここにおいて、ロールベンドによつて、鋼板に
付加される伸び歪差を、第2図を参照して
ΔεB=AB2−AB1/AB1 ……(2)
とすると、各区間での伸び歪差は第1表の如くな
る。
[Industrial Application Field] The present invention relates to a bending control method for setting the amount of bending when straightening the shape of a hot steel plate using a hot leveler equipped with a bending mechanism. [Prior art] When straightening a thin steel plate using a hot leveler, conventionally, the flatness before straightening was exclusively measured,
Based on this data, the amount of bending of the hot leveler was set. [Problems to be Solved by the Invention] However, the conventional method described above has a problem in that even if the flatness is good immediately after straightening, the flatness deteriorates due to shape changes that occur during the cooling process of the steel plate. SUMMARY OF THE INVENTION Therefore, it is an object of the present invention to provide a method for controlling the bending of a hot leveler that also takes into account changes in shape during the cooling process. [Means for solving the problem] In order to achieve the above object, the present invention provides a hot leveler for hot steel plate having a bending mechanism,
In determining the amount of bending, we measure the flatness of the steel plate before straightening and the temperature distribution in the width direction, estimate the shape change during the cooling process after straightening based on the data, and take this shape change into account. It is characterized by setting the bending amount of the hot leveler. Generally, during leveler straightening, a temperature difference ΔT exists between the center and edge of the steel plate. This temperature difference becomes smaller as the steel plate cools, and the temperature distribution becomes uniform. However, during this cooling process, a difference in shrinkage occurs between the center and edges of the steel plate, and this causes ear waves to occur in the steel plate. If the wavelength of this ear wave is 2l C and the wave height is h, the difference between it and the temperature difference ΔT is ΔT=1/16α(πh/l c ) 2where α is the coefficient of linear expansion of the steel plate. Therefore, by measuring the temperature difference ΔT before and after leveler correction, the ear wave height h after cooling can be estimated, and the bending amount can be set by taking this into consideration. [Function] According to the present invention, since distortion caused by temperature distribution in the width direction is also removed, the flatness of the steel plate after cooling can be improved. [Example] Hereinafter, an example of the present invention will be described with reference to the drawings. FIG. 1 schematically shows the apparatus used in the present invention. In the figure, 1 is a hot thick steel plate flowing on a line, 2 is a flatness meter that measures the flatness before straightening, and 3 is a thermometer that measures the temperature in the width direction of the thick steel plate 1. The data πh/l C and ΔT obtained from both measuring instruments 2 and 3 are input to the CPU 4, where the shape change after cooling of the steel plate 1 is predicted, and the bending amount is determined so that the flatness after cooling becomes zero. δ is calculated. The bending amount δ feedforward calculated here is given to the hot leveler 5. Next, the theoretical formula for calculating the amount of bending will be explained. If the calculated residual elongation strain difference due to temperature drop is Δε h (Δε h > 0), the target residual elongation strain difference after leveling is Δε 0
= Δε h . Now, when the steel plate 1 having the elongation strain difference Δε i is leveled as shown in FIG. 2, if the elongation strain difference Δε 0 remains, then Δε 0 =k・(1−ξ)・Δε i ... ...(1) However, the following relationship holds true: ξ: plastic deformation rate (1-ξ): elongation difference reduction rate k: constant (obtained by experiment). Here, if the difference in elongation strain added to the steel plate due to roll bending is set as Δε B = AB 2 − AB 1 / AB 1 (2) with reference to Fig. 2, then the elongation in each section is The distortion difference is as shown in Table 1.
【表】
ここで、スリツトモデルによるスミレーシヨン
結果によりk=1/2が求められたものとする
と、
Δε0=k・(1−ξ)(Δεi+ΔεB)−ΔεB……
(3)
にk=1/2を代入して
Δε0=(1−ξ)/2(Δεi+ΔεB)−ΔεB……
(4)
また、鋼板の入側急峻度をλi、出側急峻度をλ0
とすると、
で表わされるから、これらを(4)式に代入してΔεB
を求めると、
ΔεB=±{1−ξ/1+ξ(π/2λi)2}
+2/1+ξ(π/2λ0)2 ……(6)
が得られる。ここで1項の記号の意味は、+:入
側形状が耳波の場合、−:入側形状が中伸びの場
合である。
また、鋼板の巾方向に第3図に示す如く温度差
ΔTがある場合、センターとエツジの間の歪εと
温度差ΔTとの関係は下記説明の如く、
ΔT=ε/α=1/4α(πh/2lC)2 ……(7)
となる。
すなわち、鋼板の長手方向を第4図に示す如く
X軸にとり、X軸に垂直な波高方向をY軸にとる
ならば、エツジの圧延方向の波形は、
Y=h/2sinπ/lCx ……(8)
ただし、h:波高、2lc:波長、
と仮定することができる。
ここで、センターの半波長icに対するエツジで
の長さlEを第(8)式により求めると、
第7図に示す符号の下で、その導出過程は次記
の通りである。
lE=∫lc 0√1+′2dx
Y′=dY/dx
Y′=πh/2lccosπ/lcx
θ=π/lcxとすると、
dθ=π/lcdx,dx=lc/πdθ
[Table] Here, assuming that k=1/2 is obtained from the summation result using the slit model, Δε 0 =k・(1−ξ)(Δε i +Δε B )−Δε B ……
Substituting k=1/2 into (3), Δε 0 = (1−ξ)/2(Δε i +Δε B )−Δε B ……
(4) Also, the steepness on the entrance side of the steel plate is λ i and the steepness on the exit side is λ 0
Then, Therefore, by substituting these into equation (4), Δε B
Δε B =±{1−ξ/1+ξ(π/2λ i ) 2 } +2/1+ξ(π/2λ 0 ) 2 ...(6) is obtained. Here, the meanings of the symbols in item 1 are as follows: +: When the entrance side shape is an ear wave; -: When the entrance side shape is medium elongated. Furthermore, when there is a temperature difference ΔT in the width direction of the steel plate as shown in Fig. 3, the relationship between the strain ε and the temperature difference ΔT between the center and the edge is as explained below, ΔT=ε/α=1/4α (πh/2l C ) 2 ...(7). That is, if the longitudinal direction of the steel plate is taken as the X-axis as shown in Fig. 4, and the wave height direction perpendicular to the X-axis is taken as the Y-axis, the waveform of the edge in the rolling direction is: Y=h/2sinπ/l C x... ...(8) However, it can be assumed that h: wave height, 2l c : wavelength. Here, when the length l E at the edge with respect to the half wavelength i c at the center is determined by equation (8), the derivation process is as follows under the symbols shown in FIG. l E =∫ lc 0 √1+′ 2 dx Y′=dY/dx Y′=πh/2l c cosπ/l c x If θ=π/l c x, dθ=π/l c dx, dx=l c /πdθ
【式】とすると、 ただし、If we take [formula], however,
本発明と従来方法とを比較するために実験を行
つたところ、第6図に示す結果が得られた。この
グラフからすると、入側形状が中伸びであつても
耳波であつても、本発明実施後は平坦度が改善さ
れていることが判る。
When an experiment was conducted to compare the present invention and the conventional method, the results shown in FIG. 6 were obtained. From this graph, it can be seen that the flatness is improved after the present invention is implemented, regardless of whether the entrance side shape is medium elongated or ear wave.
第1図は、本発明で用いられる装置の概略図、
第2図はベンデング量と歪との関係図、第3図は
温度差と冷却距離との関係を示したグラフ、第4
図は耳波と波形との関係を示した説明図、第5図
は温度差と耳波高さとの関係を表示したグラフ、
第6図は本発明と従来方法とを比較して表示した
温度差−平坦度図、第7図は演算式の導出用の説
明図である。
1……鋼板、2……平坦度計、3……温度計、
4……CPU、5……ホツトレベラー。
FIG. 1 is a schematic diagram of the apparatus used in the present invention;
Figure 2 is a graph showing the relationship between bending amount and strain, Figure 3 is a graph showing the relationship between temperature difference and cooling distance, and Figure 4 is a graph showing the relationship between temperature difference and cooling distance.
The figure is an explanatory diagram showing the relationship between ear waves and waveforms, and Figure 5 is a graph showing the relationship between temperature difference and ear wave height.
FIG. 6 is a temperature difference-flatness diagram comparing the present invention and the conventional method, and FIG. 7 is an explanatory diagram for deriving the calculation formula. 1... Steel plate, 2... Flatness meter, 3... Thermometer,
4...CPU, 5...Hot leveler.
Claims (1)
ベラーにおいて、鋼板の矯正時前の平坦度、およ
び巾方向の温度分布を測定し、そのデータに基づ
き矯正後の冷却過程での形状変化を推定し、その
形状変化を加味してホツトレベラーのベンデング
量を設定することを特徴とするホツトレベラーの
ベンデング制御方法。1. In a hot leveler for hot steel sheets with a bending mechanism, the flatness of the steel sheet before straightening and the temperature distribution in the width direction are measured, and based on that data, the change in shape during the cooling process after straightening is estimated, and the shape is calculated. A method for controlling the bending of a hot leveler, characterized in that the bending amount of the hot leveler is set in consideration of the change.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2831486A JPS62187519A (en) | 1986-02-12 | 1986-02-12 | Control method for bending on hot leveler |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2831486A JPS62187519A (en) | 1986-02-12 | 1986-02-12 | Control method for bending on hot leveler |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS62187519A JPS62187519A (en) | 1987-08-15 |
| JPH0526569B2 true JPH0526569B2 (en) | 1993-04-16 |
Family
ID=12245153
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2831486A Granted JPS62187519A (en) | 1986-02-12 | 1986-02-12 | Control method for bending on hot leveler |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS62187519A (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2604518B2 (en) * | 1992-06-26 | 1997-04-30 | 新日本製鐵株式会社 | Steel plate straightening method |
-
1986
- 1986-02-12 JP JP2831486A patent/JPS62187519A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS62187519A (en) | 1987-08-15 |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| LAPS | Cancellation because of no payment of annual fees |