JP2016107280A - Shape control method and shape control device for metal strip - Google Patents

Shape control method and shape control device for metal strip Download PDF

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JP2016107280A
JP2016107280A JP2014244569A JP2014244569A JP2016107280A JP 2016107280 A JP2016107280 A JP 2016107280A JP 2014244569 A JP2014244569 A JP 2014244569A JP 2014244569 A JP2014244569 A JP 2014244569A JP 2016107280 A JP2016107280 A JP 2016107280A
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metal strip
shape
cooling
exit side
temperature
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JP6295932B2 (en
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北村　拓也
Takuya Kitamura
拓也 北村
舘野　純一
Junichi Tateno
純一 舘野
慎也 山口
Shinya Yamaguchi
慎也 山口
裕史 津山
Yushi Tsuyama
裕史 津山
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JFE Steel Corp
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JFE Steel Corp
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Abstract

PROBLEM TO BE SOLVED: To provide a shape control method and a shape control device for a metal strip each of which enables a hot-rolled metal strip shape cooled down to normal temperature to be controlled within a target range over a full length regardless of the capacity of shape control of a finishing mill.SOLUTION: In a shape control processing which is one embodiment of the present invention, a control device 10: predicts a change in shape at each longitudinal position of a metal strip S occurring when the metal strip S hot-rolled by a finishing mill 2 is cooled down to normal temperature; sets a target shape of the metal strip S on the outlet side of a run-out table provided on the outlet side of the finishing mill 2 according to a longitudinal position of the metal strip S so that a predicted change in shape of the metal strip S is compensated for; and uses a cooling device 3 to control the shape of the metal strip on the outlet side of the run-out table to a target shape.SELECTED DRAWING: Figure 1

Description

本発明は、熱間圧延工程により製造される金属帯の形状制御方法及び形状制御装置に関するものである。   The present invention relates to a shape control method and shape control device for a metal strip produced by a hot rolling process.

近年、形状が平坦な金属帯が需要家から求められており、耳波や腹伸び等の金属帯の形状不良に対する許容限度が厳しくなっている。このため、金属帯形状に対する品質保証が重要な課題となっている。また、熱間圧延工程以降の工程においても、金属帯の形状不良は通板トラブル等の原因になるため、最終製品以外でも平坦な金属帯形状が求められている。   In recent years, a metal strip having a flat shape has been demanded by customers, and an allowable limit for a defective shape of the metal strip such as an ear wave or an abdominal stretch has become strict. For this reason, quality assurance for the metal strip shape is an important issue. Also, in the processes after the hot rolling process, a defective shape of the metal strip causes a trouble with sheet passing and the like, and therefore a flat metal strip shape is demanded for other than the final product.

熱間圧延工程では、金属帯形状を目標形状に圧延できるように、ロールベンダー、ロールクロス、及びロールシフト等を備えたクラウン及び形状の制御能力の高い仕上圧延機が用いられる。このような仕上圧延機によれば、ロールベンダー量、クロス角、及びシフト量を操作してロールプロファイルを適切に設定することにより、金属帯のクラウン及び形状を精度高く制御できる。   In the hot rolling process, a finish rolling mill having a crown and a shape control capability with a roll bender, a roll cloth, a roll shift and the like is used so that the metal strip shape can be rolled into a target shape. According to such a finishing mill, the crown and shape of the metal strip can be controlled with high accuracy by appropriately setting the roll profile by manipulating the roll bender amount, the cross angle, and the shift amount.

しかしながら、仕上圧延直後の金属帯形状が平坦であっても、熱歪み、変態膨張、及びクリープ変形等の要因によって、常温まで冷却する過程で金属帯形状が変化する場合がある。結果、仕上圧延直後の金属帯形状が目標範囲内であっても、常温まで冷却する過程で金属帯形状が変化して目標範囲外になることがある。常温まで冷却後の金属帯形状が良好でない場合、スキンパス圧延等による金属帯の形状矯正が行われるが、工程追加によるコスト増加や納期延長といった生産性の低下が生じる。   However, even if the metal band shape immediately after finish rolling is flat, the metal band shape may change during the process of cooling to room temperature due to factors such as thermal strain, transformation expansion, and creep deformation. As a result, even if the metal band shape immediately after finish rolling is within the target range, the metal band shape may change in the process of cooling to room temperature and may be outside the target range. When the shape of the metal strip after cooling to room temperature is not good, the shape of the metal strip is corrected by skin pass rolling or the like, but productivity decreases due to an increase in cost and extension of delivery time due to the addition of processes.

このような背景から、特許文献１には、仕上圧延機の出側における金属帯形状を初期値として、ランアウトテーブルでの冷却、コイラーによる巻取り、コイルヤードでの冷却の各過程における金属帯の変形解析を行うことにより、常温まで冷却後の金属帯形状を予測し、予測結果に基づいて仕上圧延機において金属帯形状の変化を補償することにより、常温まで冷却後の金属帯形状を目標範囲内に制御する技術が提案されている。   From such a background, in Patent Document 1, the metal strip shape on the exit side of the finish rolling mill is used as an initial value, and the metal strip in each process of cooling at the run-out table, winding by a coiler, and cooling at the coil yard is disclosed. By performing deformation analysis, the metal band shape after cooling to room temperature is predicted, and by compensating for changes in the metal band shape in the finishing mill based on the prediction results, the metal band shape after cooling to room temperature is targeted. The technology to control the inside is proposed.

特開２００７−２１６２４６号公報JP 2007-216246 A

しかしながら、特許文献１記載の技術によれば、仕上圧延機のロールベンダーやロールクロス等の性能が十分でなく、仕上圧延機のロールベンダーやロールクロス等による形状制御可能量が必要とする形状修正量よりも小さい場合、十分な形状制御を行うことができないために、常温まで冷却後の金属帯形状を目標範囲内に制御できないことがある。   However, according to the technique described in Patent Document 1, the performance of the roll bender or roll cloth of the finish rolling mill is not sufficient, and the shape correction required by the shape controllable amount by the roll bender or roll cloth of the finish rolling mill is required. When the amount is smaller than the amount, sufficient shape control cannot be performed, and thus the metal band shape after cooling to room temperature may not be controlled within the target range.

本発明は、上記に鑑みてなされたものであって、その目的は、仕上圧延機の形状制御能力に関係なく、常温まで冷却された熱間圧延後の金属帯形状を全長にわたり目標範囲内に制御可能な金属帯の形状制御方法及び形状制御装置を提供することにある。   The present invention has been made in view of the above, and its purpose is to keep the metal strip shape after hot rolling cooled to room temperature within the target range over the entire length, regardless of the shape control ability of the finishing mill. An object is to provide a shape control method and a shape control device for a controllable metal strip.

本発明に係る金属帯の形状制御方法は、仕上圧延機による熱間圧延後の金属帯を常温まで冷却した際に金属帯の長手方向の各位置において発生する形状変化を予測する予測ステップと、前記予測ステップにおいて予測された金属帯の形状変化を補償するように仕上圧延機の出側に設けられたランアウトテーブルの出側における金属帯の目標形状を金属帯の長手方向位置に応じて設定し、ランアウトテーブル上の冷却装置を利用してランアウトテーブルの出側における金属帯形状を目標形状に制御する制御ステップと、を含むことを特徴とする。   The metal strip shape control method according to the present invention predicts a shape change that occurs at each position in the longitudinal direction of the metal strip when the metal strip after hot rolling by a finishing mill is cooled to room temperature, A target shape of the metal strip on the exit side of the run-out table provided on the exit side of the finish rolling mill is set according to the longitudinal position of the metal strip so as to compensate for the shape change of the metal strip predicted in the prediction step. And a control step of controlling the metal strip shape on the exit side of the runout table to a target shape using a cooling device on the runout table.

本発明に係る金属帯の形状制御方法は、上記発明において、前記制御ステップは、ランアウトテーブル上の冷却装置と共に仕上圧延機を利用して金属帯形状を設定された目標形状に制御するステップを含むことを特徴とする。   In the metal strip shape control method according to the present invention, in the above invention, the control step includes a step of controlling the metal strip shape to a set target shape using a finish rolling mill together with a cooling device on a run-out table. It is characterized by that.

本発明に係る金属帯の形状制御方法は、上記発明において、前記予測ステップは、仕上圧延機の出側における金属帯の温度及び平坦度を初期値として、ランアウトテーブルでの冷却、コイラー巻取、及びコイル冷却の各過程での金属帯の温度及び応力・歪成分を相変態と共に解析することによって、金属帯の長手方向の各位置において発生する形状変化を予測するステップを含むことを特徴とする。   In the metal strip shape control method according to the present invention, in the above invention, the prediction step uses the temperature and flatness of the metal strip on the exit side of the finish rolling mill as initial values, cooling at a runout table, coiler winding, And a step of predicting a shape change occurring at each position in the longitudinal direction of the metal band by analyzing the temperature and stress / strain components of the metal band in each process of coil cooling together with the phase transformation. .

本発明に係る金属帯の形状制御装置は、仕上圧延機による熱間圧延後の金属帯を常温まで冷却した際に金属帯の長手方向の各位置において発生する形状変化を予測する予測手段と、前記予測手段によって予測された金属帯の形状変化を補償するように仕上圧延機の出側に設けられたランアウトテーブルの出側における金属帯の目標形状を金属帯の長手方向位置に応じて設定し、ランアウトテーブル上の冷却装置を利用してランアウトテーブルの出側における金属帯形状を目標形状に制御する制御手段と、を備えることを特徴とする。   The shape control device for a metal strip according to the present invention predicts a shape change that occurs at each position in the longitudinal direction of the metal strip when the metal strip after hot rolling by a finish rolling mill is cooled to room temperature, A target shape of the metal strip on the exit side of the run-out table provided on the exit side of the finish rolling mill is set in accordance with the longitudinal position of the metal strip so as to compensate for the shape change of the metal strip predicted by the predicting means. And a control means for controlling the metal band shape on the exit side of the runout table to a target shape using a cooling device on the runout table.

本発明に係る金属帯の形状制御方法及び形状制御装置によれば、仕上圧延機の形状制御能力に関係なく、常温まで冷却された熱間圧延後の金属帯形状を全長にわたり目標範囲内に制御することができる。   According to the shape control method and shape control device of the metal strip according to the present invention, the shape of the metal strip after hot rolling cooled to room temperature is controlled within the target range over the entire length regardless of the shape control capability of the finishing mill. can do.

図１は、本発明の一実施形態である金属帯の形状制御方法が適用される熱間圧延ラインの構成を示す模式図である。FIG. 1 is a schematic diagram showing a configuration of a hot rolling line to which a metal strip shape control method according to an embodiment of the present invention is applied. 図２は、本発明の一実施形態である金属帯の形状制御方法の流れを示すフローチャートである。FIG. 2 is a flowchart showing a flow of a metal strip shape control method according to an embodiment of the present invention. 図３は、ランアウトテーブルにおける幅方向冷却が均一の場合と幅方向冷却に分布を持たせた場合との温度差を示す図である。FIG. 3 is a diagram showing a temperature difference between the case where the widthwise cooling in the runout table is uniform and the case where the widthwise cooling is distributed. 図４は、本発明例及び従来例１，２における金属帯の長さ方向の急峻度を示す図である。FIG. 4 is a diagram showing the steepness in the length direction of the metal strip in the present invention example and the conventional examples 1 and 2. 図５は、本発明例及び従来例における金属帯の長さ方向の急峻度を示す図である。FIG. 5 is a diagram showing the steepness in the length direction of the metal strip in the present invention example and the conventional example.

以下、本発明の一実施形態である金属帯の形状制御方法について説明する。   Hereinafter, a metal strip shape control method according to an embodiment of the present invention will be described.

〔熱間圧延ラインの構成〕
始めに、図１を参照して、本発明の一実施形態である金属帯の形状制御方法が適用される熱間圧延ラインの構成について説明する。 [Configuration of hot rolling line]
First, a configuration of a hot rolling line to which a metal strip shape control method according to an embodiment of the present invention is applied will be described with reference to FIG.

図１は、本発明の一実施形態である金属帯の形状制御方法が適用される熱間圧延ラインの構成を示す模式図である。図１に示すように、本発明の一実施形態である金属帯の形状制御方法が適用される熱間圧延ライン１では、金属帯Ｓは、仕上圧延機２によって所定の製造サイズに圧延された後、ランアウトテーブルを通過している際に所定の材質に作り込むために冷却装置３によって所定温度まで冷却される。その後、所定温度まで冷却された金属帯Ｓはコイラー４によってマンドレル５にコイル状に巻き取られ、コイル状に巻き取られた金属帯Ｓはコイルヤード６において常温まで冷却される。そして、この熱間圧延ライン１における仕上圧延機２及び冷却装置３の動作はコンピュータ等の情報処理装置によって構成された制御装置１０によって制御されている。制御装置１０は、本発明に係る予測手段及び制御手段として機能する。   FIG. 1 is a schematic diagram showing a configuration of a hot rolling line to which a metal strip shape control method according to an embodiment of the present invention is applied. As shown in FIG. 1, in a hot rolling line 1 to which a metal strip shape control method according to an embodiment of the present invention is applied, the metal strip S is rolled to a predetermined production size by a finishing mill 2. After that, it is cooled to a predetermined temperature by the cooling device 3 so as to be made into a predetermined material while passing through the runout table. Thereafter, the metal strip S cooled to a predetermined temperature is wound around the mandrel 5 in a coil shape by the coiler 4, and the metal strip S wound up in the coil shape is cooled to room temperature in the coil yard 6. And operation | movement of the finishing mill 2 and the cooling device 3 in this hot rolling line 1 is controlled by the control apparatus 10 comprised by information processing apparatuses, such as a computer. The control device 10 functions as a prediction unit and a control unit according to the present invention.

〔形状制御処理〕
次に、図２を参照して、本発明の一実施形態である金属帯の形状制御方法の流れについて説明する。 [Shape control processing]
Next, the flow of the metal strip shape control method according to an embodiment of the present invention will be described with reference to FIG.

図２は、本発明の一実施形態である金属帯の形状制御方法の流れを示すフローチャートである。図２に示すフローチャートは、金属帯の熱間圧延工程の実行命令が入力されたタイミングで開始となり、形状制御処理はステップＳ１の処理に進む。   FIG. 2 is a flowchart showing a flow of a metal strip shape control method according to an embodiment of the present invention. The flowchart shown in FIG. 2 starts at the timing when the execution command for the hot rolling process of the metal strip is input, and the shape control process proceeds to the process of step S1.

ステップＳ１の処理では、制御装置１０が、金属帯の材料条件（板厚、板幅、板長、及び物性値等）、仕上圧延条件（温度、板速度、板クラウン等）、及び巻取条件（温度、張力、コイル内外径等）に基づいて、金属帯の全長及び全幅にわたって常温まで冷却された後の金属帯の形状変化を予測する。   In the process of step S1, the control device 10 determines the material conditions of the metal strip (plate thickness, plate width, plate length, physical property values, etc.), finish rolling conditions (temperature, plate speed, plate crown, etc.), and winding conditions. Based on (temperature, tension, inner and outer diameter of the coil, etc.), the shape change of the metal strip after being cooled to room temperature over the entire length and width of the metal strip is predicted.

ここで、常温まで冷却した後の金属帯形状を決定する要因には、（１）仕上圧延機２の出側における金属帯形状、（２）ランアウトテーブル上の通板張力が作用することによって生じる金属帯の変形、（３）ランアウトテーブル上の冷却装置３の冷却ムラによって生じる熱収縮や相変態ムラによる金属帯の変形、（４）コイラー４での巻取時における金属帯のマンドレル５への巻締まりによる金属帯の変形、及び（５）コイルヤード６においてコイルを冷却する際におけるコイルの中心部と外周部との間の冷却速度差に起因する温度偏差によって生じる金属帯の変形がある。   Here, the factors that determine the shape of the metal strip after cooling to room temperature are caused by the action of (1) the shape of the metal strip on the exit side of the finish rolling mill 2 and (2) the plate tension on the run-out table. Deformation of metal band, (3) Deformation of metal band due to heat shrinkage and phase transformation unevenness caused by uneven cooling of cooling device 3 on runout table, (4) Deposition of metal band to mandrel 5 during winding by coiler 4 There are deformation of the metal band due to winding tightening, and (5) deformation of the metal band caused by temperature deviation due to the cooling rate difference between the central part and the outer peripheral part of the coil when the coil is cooled in the coil yard 6.

常温まで冷却された後の金属帯形状は上記の要因が複雑に影響した結果であり、全ての要因を考慮して常温まで冷却された後の金属帯形状を決定する必要がある。   The shape of the metal strip after being cooled to room temperature is a result of the above factors being complicatedly affected, and it is necessary to determine the shape of the metal strip after being cooled to room temperature in consideration of all the factors.

すなわち、仕上圧延機２の出側における金属帯の目標形状を平坦として、要因（１）の形状分布を何も与えない場合、常温まで冷却した後の金属帯の最終形状は、コイルの内周部から中心部までが耳波形状であり、コイル外周部が腹伸び形状である形状になる傾向が強い。   That is, when the target shape of the metal strip on the exit side of the finish rolling mill 2 is made flat and no shape distribution of the factor (1) is given, the final shape of the metal strip after cooling to room temperature is the inner circumference of the coil From the center to the center is an ear wave shape, and the coil outer periphery tends to be a shape that is an abdominal stretch shape.

また、要因（２）による形状変化では、金属帯に作用する通板張力が金属帯の降伏応力より大きい場合、塑性変形が生じる。   Further, in the shape change due to the factor (2), plastic deformation occurs when the plate tension acting on the metal band is larger than the yield stress of the metal band.

また、要因（３）による形状変化では、金属帯の幅方向端部の熱収縮量が幅方向中心部の熱収縮量よりも大きい場合、幅方向中心部に引張変形が生じることにより、金属帯の幅方向端部に耳波形状が生じる。一方、金属帯の幅方向中心部の熱収縮量が幅方向端部の熱収縮量よりも大きい場合には、幅方向端部に引張変形が生じることにより、金属帯の幅方向中心部に腹伸び形状が生じる。   Further, in the shape change due to the factor (3), when the amount of heat shrinkage at the end in the width direction of the metal strip is larger than the amount of heat shrink at the center in the width direction, tensile deformation occurs in the center portion in the width direction. An ear wave shape is generated at the end in the width direction. On the other hand, when the amount of heat shrinkage at the center portion in the width direction of the metal band is larger than the amount of heat shrinkage at the end portion in the width direction, tensile deformation occurs at the end portion in the width direction, thereby An elongated shape occurs.

また、要因（４）による形状変化では、巻取時における金属帯のマンドレル５への巻締りによって長手方向に引張変形が生じる。さらに、板クラウンにより、幅方向中心部に接触面圧が集中し、巻締りの強いコイル外周部において長手方向に引張の塑性変形が生じ、腹伸び形状が生じる。   Further, in the shape change due to the factor (4), tensile deformation occurs in the longitudinal direction by winding the metal band around the mandrel 5 during winding. Further, due to the plate crown, the contact surface pressure is concentrated in the central portion in the width direction, and a plastic deformation is generated in the longitudinal direction in the outer peripheral portion of the coil where the winding is strong, resulting in a belly stretch shape.

また、要因（５）による形状変化では、コイル状に積層された金属帯同士が接触する幅方向中心部において、温度低下の遅いコイル中心部に対して温度低下の速いコイル外周部が熱収縮量の違いによって巻締り、板クラウンによって、コイル中心部で長手方向に圧縮変形が生じて耳波形状となり、コイル外周部では長手方向に引張変形が生じて腹伸び形状となる。   Further, in the shape change due to the factor (5), in the central portion in the width direction where the metal strips laminated in the coil shape contact each other, the outer peripheral portion of the coil whose temperature decrease is fast with respect to the coil central portion whose temperature decreases slowly is the amount of heat shrinkage. Due to the difference in winding, the plate crown causes compressive deformation in the longitudinal direction at the center of the coil, resulting in an otic wave shape, and tensile deformation occurs in the longitudinal direction at the outer periphery of the coil, resulting in an abdominal stretch shape.

上記の変形過程を経て常温まで冷却した後の金属帯形状を予測する手法としては、金属帯に発生する変形を順次解析していく数値解析モデルが考えられる。数値解析モデルとしては、参考文献（特開２００６−２２４１７７号公報）に開示されているような形状変化予測モデルを用いることができる。   As a method for predicting the shape of the metal band after cooling to room temperature through the above deformation process, a numerical analysis model that sequentially analyzes the deformation generated in the metal band can be considered. As the numerical analysis model, a shape change prediction model as disclosed in a reference document (Japanese Patent Laid-Open No. 2006-224177) can be used.

すなわち、始めに、材料条件(金属帯の寸法、降伏関数、熱物性値、相変態挙動を表すパラメータ等)、通板条件(板速度、通板張力等)、冷却条件(熱伝達係数、冷却媒体温度、冷却帯の長さ等)、及び巻取条件(巻取張力、ドラム径等)を設定する。その後に冷却装置３を備えるランアウトテーブルでの伝熱モデル、相変態モデル、及び応力・歪みモデルを解析するステップと、コイルヤード６でのコイル冷却の伝熱モデル、相変態モデル、及び応力・歪みモデルを解析するステップとを実行して、常温まで冷却された金属帯形状を出力する。   That is, first, material conditions (metal strip dimensions, yield function, thermophysical properties, parameters indicating phase transformation behavior, etc.), threading conditions (plate speed, threading tension, etc.), cooling conditions (heat transfer coefficient, cooling Media temperature, cooling zone length, etc.) and winding conditions (winding tension, drum diameter, etc.) are set. Thereafter, a step of analyzing a heat transfer model, a phase transformation model, and a stress / strain model in a run-out table including the cooling device 3, and a heat transfer model, a phase transformation model, and a stress / strain for coil cooling in the coil yard 6 are performed. And a step of analyzing the model to output a metal band shape cooled to room temperature.

金属帯の幅方向の温度分布は、以下の数式（１）に示す熱伝導方程式と以下の数式（２）に示す境界条件式とを解くことによって計算できる。伝熱モデルとしては、例えば熱伝導方程式と境界条件式とを離散化した陽解法差分モデルを用いることにより、オンラインでの使用に耐え得るような短時間での計算が可能となる。   The temperature distribution in the width direction of the metal strip can be calculated by solving the heat conduction equation shown in the following formula (1) and the boundary condition formula shown in the following formula (2). As the heat transfer model, for example, by using an explicit differential model in which the heat conduction equation and the boundary condition equation are discretized, calculation in a short time that can withstand online use is possible.

Figure 2016107280
Figure 2016107280
 ここで、Ｔ[K]は金属帯の温度、ＴＳ[K]は金属帯の表面温度、Ｔｆ[K]は冷却水温度又は雰囲気温度、ｔ[s]は時間、λ[J/smK]は熱伝導率、ｑ[J/m2s]は熱流束、ρ[kg/m3]は密度、ｃ[J/kgK]は比熱、ｈ[J/m2hK]は熱伝達係数を示している。
Figure 2016107280
Figure 2016107280
 Here, T [K] is the temperature of the metal band, T S [K] is the surface temperature of the metal band, T f [K] is the cooling water temperature or ambient temperature, t [s] is the time, and λ [J / smK ] Is the thermal conductivity, q [J / m 2 s] is the heat flux, ρ [kg / m 3 ] is the density, c [J / kgK] is the specific heat, h [J / m 2 hK] is the heat transfer coefficient Show.

相変態モデルでは、以下に示す数式（３）〜（５）式に基づいて、まず金属帯の成分により数式（３）に従ってＴＴＴ線図を作成し、ある時点における金属帯の温度及び経過時間から金属帯の組織を決定する。ここで、ＴＴＴ線図とは、時間及び温度と相変態との関係を示した図であり、物質の温度とその温度になるまでの時間を与えることによって相変態の挙動を知ることができる。   In the phase transformation model, based on the following formulas (3) to (5), first, a TTT diagram is created according to the formula (3) using the components of the metal band, and from the temperature and elapsed time of the metal band at a certain point in time. Determine the texture of the metal strip. Here, the TTT diagram is a diagram showing the relationship between time and temperature and the phase transformation, and the behavior of the phase transformation can be known by giving the temperature of the substance and the time until the temperature is reached.

Figure 2016107280
Figure 2016107280
Figure 2016107280
 ここでＴ０，ＴＮ，ｔ０，ｔＮは化学成分及びオーステナイト粒径の関数として与えられ，ｔ０，Ｔ０及びｔＮ，ＴＮはＴＴＴ曲線の平衡変態点及びノーズ点に対応している。相変態が生じる場合には発熱量も計算する。
Figure 2016107280
Figure 2016107280
Figure 2016107280
 Where T 0 , T N , t 0 , t N are given as a function of chemical composition and austenite grain size, t 0 , T 0 and t N , T N correspond to the equilibrium transformation point and nose point of the TTT curve. ing. If phase transformation occurs, the calorific value is also calculated.

応力・歪み解析モデルについては、ランアウトテーブル上での金属帯の状態、コイラー４での巻取中のコイル状態及び巻取後(抜き取り後)の冷却中のコイル状態についてそれぞれ別のモデルが必要となる。また、正確な形状予測解析を行うために、熱収縮、相変態に伴う体積膨張、クリープ変形、及び塑性変形を考慮したモデルとする必要がある。   Regarding the stress / strain analysis model, separate models are required for the state of the metal strip on the runout table, the coil state during winding by the coiler 4, and the coil state during cooling after winding (after extraction). Become. In addition, in order to perform accurate shape prediction analysis, it is necessary to use a model that takes into account heat shrinkage, volume expansion associated with phase transformation, creep deformation, and plastic deformation.

以上の伝熱モデル、相変態モデル、応力・歪みモデルを用いて金属帯の形状を常温まで解析していくことにより、熱収縮(相変態に伴う体積膨張を含む)、クリープ変形、及び塑性変形の和として永久変形が求まる。最終的な金属帯形状は永久変形の幅方向分布より求まる伸び差率によって評価する。これにより、ステップＳ１の処理は完了し、形状制御処理はステップＳ２の処理に進む。   By analyzing the shape of the metal strip to room temperature using the above heat transfer model, phase transformation model, stress / strain model, thermal shrinkage (including volume expansion associated with phase transformation), creep deformation, and plastic deformation Permanent deformation is obtained as the sum of The final metal strip shape is evaluated by the elongation difference obtained from the widthwise distribution of permanent deformation. Thereby, the process of step S1 is completed and a shape control process progresses to the process of step S2.

ステップＳ２の処理では、制御装置１０が、ステップＳ１の処理において予測された常温まで冷却された後の金属帯形状を補償するようなランアウトテーブルの出側における金属帯の目標形状を逆算する。換言すれば、制御装置１０は、常温まで冷却された後の金属帯の形状を目標範囲内にするために必要なランアウトテーブルの出側における金属帯の目標形状を算出する。ランアウトテーブル出側における金属帯の目標形状は、常温まで冷却された後の金属帯形状の逆符号として計算できる。これにより、ステップＳ２の処理は完了し、形状制御処理はステップＳ３の処理に進む。   In the process of step S2, the control device 10 calculates the target shape of the metal band on the exit side of the runout table so as to compensate the metal band shape after being cooled to the normal temperature predicted in the process of step S1. In other words, the control device 10 calculates the target shape of the metal band on the exit side of the runout table necessary to bring the shape of the metal band after being cooled to room temperature into the target range. The target shape of the metal strip on the run-out table exit side can be calculated as the reverse sign of the metal strip shape after cooling to room temperature. Thereby, the process of step S2 is completed and the shape control process proceeds to the process of step S3.

ステップＳ３の処理では、制御装置１０が、ランアウトテーブル上における冷却装置３から噴射される冷却水の金属帯の幅方向流量分布を変化させることにより、ランアウトテーブル出側における金属帯の形状をステップＳ２の処理において算出された目標形状に制御する。具体的には、ランアウトテーブル上における金属帯の幅方向の温度分布と形状との関係は温度変化による金属帯の弾性変形を無視すると以下に示す数式（６）のように表される。   In the process of step S3, the control device 10 changes the shape of the metal band on the exit side of the runout table by changing the flow rate distribution in the width direction of the metal band of the cooling water jetted from the cooling apparatus 3 on the runout table. The target shape calculated in the process is controlled. Specifically, the relationship between the temperature distribution in the width direction of the metal strip on the run-out table and the shape is expressed by the following formula (6) when the elastic deformation of the metal strip due to temperature change is ignored.

Figure 2016107280
ここで、Δεは金属帯の幅方向中心部と幅方向端部との伸び差率、αは線膨張係数を示している。また、ΔＴは、図３に示すようにランアウトテーブルにおける幅方向冷却が均一の場合と幅方向冷却に分布を持たせた場合との温度差として定義され、幅方向に分布を持たせて冷却した場合の金属帯の幅方向中心部の金属帯温度から幅方向端部の金属帯温度を引くことで計算される。なお、図３に示すＴ１，Ｔ２はそれぞれランアウトテーブルの出側及び仕上圧延機の出側における金属帯の温度を示している。
Figure 2016107280
 Here, Δε represents an elongation difference between the center portion in the width direction and the end portion in the width direction of the metal strip, and α represents a linear expansion coefficient. Further, ΔT is defined as a temperature difference between the case where the width direction cooling in the run-out table is uniform and the case where the width direction cooling is distributed as shown in FIG. 3, and the cooling is performed with the distribution in the width direction. It is calculated by subtracting the metal band temperature at the end in the width direction from the metal band temperature at the center in the width direction of the case. In addition, T1 and T2 shown in FIG. 3 have shown the temperature of the metal strip in the exit side of a runout table, and the exit side of a finishing mill, respectively.

金属帯の先尾端を拘束した状態で金属帯の幅方向中心部と幅方向端部との間にΔＴの温度分布を付与することにより、金属帯を塑性変形させて形状制御を行うことができる。線膨張係数を１０．８×１０６[1/K]、ΔＴを±３０[K]とすると、伸び差率Δεは約±３２．４×１０−５となり、金属帯が平坦な場合には急峻度で約±１．１５[%]の形状制御が可能になる。 A shape control can be performed by plastically deforming the metal band by providing a temperature distribution of ΔT between the width direction center part and the width direction end part of the metal band with the leading end of the metal band being constrained. it can. If the linear expansion coefficient is 10.8 × 10 6 [1 / K] and ΔT is ± 30 [K], the differential expansion Δε is about ± 32.4 × 10 −5 , and the metal band is flat. Shape control of about ± 1.15 [%] is possible with steepness.

一方、冷却装置３から噴射される冷却水の流量密度は、参考文献（片田 中著「鋼材の強制冷却」日本鉄鋼協会編、1978年、p.16-19）によれば、以下に示す数式（７）によって表される。   On the other hand, the flow density of the cooling water sprayed from the cooling device 3 is expressed by the following formula according to the reference (Chu Katada, “Forced cooling of steel materials” edited by Japan Iron and Steel Institute, 1978, p.16-19). It is represented by (7).

Figure 2016107280
ここで、ｈは熱伝達係数[kJ/hm2K]、Ｔは金属帯温度[K]、ｗは冷却水の流量密度[L/m2min]を示している。また、ａ〜ｄは補正係数であり、ａ＝２．０３，ｂ＝０．７９３，ｃ＝０．０００３０８，ｄ＝０．０８３とすることにより、冷却装置３用に合わせ込んでいる。数式（７）において、ｈ＝３３４７とすると、冷却装置３から噴射される冷却水の流量密度と金属帯の温度とは以下の数式（８）に示す関係で近似される。
Figure 2016107280
 Here, h is the heat transfer coefficient [kJ / hm 2 K], T is the metal band temperature [K], and w is the cooling water flow density [L / m 2 min]. Further, a to d are correction coefficients, and are adjusted for the cooling device 3 by setting a = 2.03, b = 0.793, c = 0.003008, and d = 0.083. In Equation (7), if h = 3347, the flow density of the cooling water injected from the cooling device 3 and the temperature of the metal strip are approximated by the relationship shown in Equation (8) below.

Figure 2016107280
Figure 2016107280

数式（８）によれば、金属帯の幅方向中心部と幅方向端部との温度差ΔＴが３０[K]である場合の冷却水の流量密度は、約９．３１[L/m2min]であり、冷却装置３によって容易に達成できる値である。ここで、金属帯の温度は幅方向中心部が１１０３[K]、幅方向端部が１０７３[K]として計算している。これにより、ステップＳ３の処理は完了し、一連の形状制御処理は終了する。 According to Equation (8), the flow rate density of the cooling water when the temperature difference ΔT between the width direction center portion and the width direction end of the metal strip is 30 [K] is about 9.31 [L / m 2]. min], which can be easily achieved by the cooling device 3. Here, the temperature of the metal strip is calculated assuming that the width direction center portion is 1103 [K] and the width direction end portion is 1073 [K]. Thereby, the process of step S3 is completed and a series of shape control processes are complete | finished.

以上の説明から明らかなように、本発明の一実施形態である形状制御処理では、制御装置１０が、仕上圧延機２による熱間圧延後の金属帯Ｓを常温まで冷却した際に金属帯Ｓの長手方向の各位置において発生する形状変化を予測し、予測された金属帯Ｓの形状変化を補償するように仕上圧延機２の出側に設けられたランアウトテーブルの出側における金属帯Ｓの目標形状を金属帯Ｓの長手方向位置に応じて設定し、ランアウトテーブル上の冷却装置３を利用してランアウトテーブルの出側における金属帯形状を目標形状に制御する。これにより、仕上圧延機２の形状制御能力に関係なく、常温まで冷却された熱間圧延後の金属帯形状を全長にわたり目標範囲内に制御することができる。   As is clear from the above description, in the shape control process according to an embodiment of the present invention, when the control device 10 cools the metal strip S after hot rolling by the finishing mill 2 to room temperature, the metal strip S is used. Of the metal strip S on the exit side of the run-out table provided on the exit side of the finish rolling mill 2 so as to predict the shape change occurring at each position in the longitudinal direction of the steel sheet and compensate for the predicted shape change of the metal strip S. A target shape is set according to the longitudinal position of the metal strip S, and the metal strip shape on the exit side of the runout table is controlled to the target shape by using the cooling device 3 on the runout table. Thereby, irrespective of the shape control capability of the finish rolling mill 2, the metal strip shape after hot rolling cooled to room temperature can be controlled within the target range over the entire length.

なお、本実施形態では、冷却装置３のみを利用して常温まで冷却された金属帯Ｓの形状を目標形状に制御することとしたが、冷却装置３による形状制御と共に仕上圧延機２による形状制御を併用してもよい。   In the present embodiment, the shape of the metal strip S cooled to room temperature is controlled to the target shape using only the cooling device 3, but the shape control by the finishing mill 2 is performed together with the shape control by the cooling device 3. May be used in combination.

〔実施例１〕
ワークロールベンダー（９０〜２３０[tonf/chock])を有する７スタンドの仕上圧延機及び最大流量２５００[L/min]、長さ１２０[m]のランアウトテーブル冷却設備を有する熱間圧延設備を用いて本発明を実施した。供試材として、仕上圧延後の板厚２．０[mm]、板幅１０００[mm]、板長８９０[m]の低炭素鋼を使用し、形状不良の目標範囲は急峻度で±１．５[%]とした。また、仕上圧延機の形状制御アクチュエータによって金属帯形状を制御できる範囲は±０．３７[%]であった。 [Example 1]
Using a 7-stand finishing mill with a work roll bender (90-230 [tonf / chock]) and a hot rolling facility with a run-out table cooling facility with a maximum flow rate of 2500 [L / min] and a length of 120 [m] The present invention was implemented. As the test material, low carbon steel with a thickness of 2.0 [mm] after finishing rolling, a width of 1000 [mm], and a length of 890 [m] is used, and the target range of shape defects is steepness ± 1 .5 [%]. Further, the range in which the metal strip shape can be controlled by the shape control actuator of the finishing mill was ± 0.37 [%].

従来例１として、仕上圧延機以降の金属帯の形状変化を考慮せずに仕上圧延のみによって金属帯を平坦形状に制御した場合の常温まで冷却した後の金属帯形状を図４に実線で示す。図４に示すように、従来例１では、常温まで冷却した後には先端部で耳波、尾端部で腹伸びの形状不良が確認された。   As conventional example 1, the shape of the metal band after cooling to room temperature when the metal band is controlled to a flat shape only by finish rolling without considering the shape change of the metal band after the finishing mill is shown by a solid line in FIG. . As shown in FIG. 4, in Conventional Example 1, after cooling to room temperature, an ear wave at the tip and an abdominal stretch at the tail were confirmed to be defective.

従来例２として、仕上圧延機において上記形状不良を補償するような形状制御を±０．３７[%]の範囲内で行った結果を図４に点線で示す。図４に示すように、従来例２では、先尾端部でそれぞれ約±２[%]の形状不良が確認され、仕上圧延機による形状制御能力が十分でないことが確認された。   As Conventional Example 2, the result of performing shape control within the range of ± 0.37 [%] in the finishing mill to compensate for the shape defect is shown by a dotted line in FIG. As shown in FIG. 4, in Conventional Example 2, shape defects of about ± 2 [%] were respectively confirmed at the leading end, and it was confirmed that the shape control ability by the finish rolling mill was not sufficient.

これに対して、本発明例では、仕上圧延機において±０．３７[%]の形状制御を行い、さらにランアウトテーブル冷却設備を用いて、金属帯の長手方向位置０〜５５７[m]では金属帯の幅方向中心部の温度を幅方向端部の温度よりも３０[K]低く制御し、長手位置６０２[m]以降の位置では幅方向中心部の温度を幅方向端部の温度よりも３０[K]高く制御することにより、形状不良を補償するような形状制御を行った。その結果、図４に太線で示すように、本発明例では、金属帯の全長にわたり急峻度が１．５[%]以下となり、金属帯形状を目標範囲内に収めることができた。   On the other hand, in the example of the present invention, the shape control of ± 0.37 [%] is performed in the finish rolling mill, and the metal is used at the longitudinal positions 0 to 557 [m] of the metal strip using the run-out table cooling equipment. The temperature at the center in the width direction of the belt is controlled to be lower by 30 [K] than the temperature at the end in the width direction, and the temperature at the center in the width direction is set to be lower than the temperature at the end in the width direction at the position after the longitudinal position 602 [m]. The shape control was performed so as to compensate for the shape defect by controlling it higher by 30 [K]. As a result, as shown by a thick line in FIG. 4, in the example of the present invention, the steepness was 1.5 [%] or less over the entire length of the metal band, and the metal band shape could be kept within the target range.

〔実施例２〕
上記熱間圧延設備において、供試材として、仕上圧延後の板厚１．６[mm]、板幅１２００[mm]、板長さ１３２０[m]の極低炭素鋼を使用した場合の結果を図５に示す。従来例として、仕上圧延によって金属帯形状を平坦形状に制御し、仕上圧延以降の形状制御を行わなかった場合の結果を図５に実線で示す。図５に示すように、従来例では、金属帯の先端部と尾端部において約±1.8[%]の形状不良が確認された。 [Example 2]
In the above-mentioned hot rolling facility, as a test material, the result of using ultra low carbon steel with a thickness of 1.6 [mm] after finishing rolling, a width of 1200 [mm], and a length of 1320 [m] Is shown in FIG. As a conventional example, the metal strip shape is controlled to a flat shape by finish rolling, and the result when the shape control after finish rolling is not performed is shown by a solid line in FIG. As shown in FIG. 5, in the conventional example, a shape defect of about ± 1.8 [%] was confirmed at the tip and tail ends of the metal strip.

これに対して、本発明例では、仕上圧延機出側のランアウトテーブル冷却設備を用いて、特に形状不良の大きい金属帯の長手位置の１２０〜２１５[m]の範囲内では、金属帯の幅方向中心部の温度を幅方向端部の温度よりも３０[K]高く制御し、長手位置１０５１〜１２５４[m]の範囲内では、金属帯の幅方向中心部の温度を幅方向端部の温度よりも３０[K]低く制御することにより、形状不良を補償するような形状制御を行った。本発明例による形状制御結果を図５に太線で示す。図５に示すように、本発明例では、金属帯の全長にわたり金属帯形状を目標範囲内に収めることができた。   On the other hand, in the example of the present invention, the width of the metal strip is particularly within the range of 120 to 215 [m] in the longitudinal position of the metal strip having a large shape defect using the run-out table cooling equipment on the finish rolling mill exit side. The temperature at the center in the direction is controlled to be 30 [K] higher than the temperature at the end in the width direction, and within the range of the longitudinal positions 1051 to 1254 [m], the temperature at the center in the width direction of the metal strip is By controlling the temperature lower by 30 [K] than the temperature, shape control was performed so as to compensate for shape defects. The shape control result according to the example of the present invention is shown by a thick line in FIG. As shown in FIG. 5, in the example of the present invention, the metal band shape could be kept within the target range over the entire length of the metal band.

以上、本発明者らによってなされた発明を適用した実施の形態について説明したが、本実施形態による本発明の開示の一部をなす記述及び図面により本発明は限定されることはない。すなわち、本実施形態に基づいて当業者等によりなされる他の実施の形態、実施例、及び運用技術等は全て本発明の範疇に含まれる。   The embodiment to which the invention made by the present inventors is applied has been described above, but the present invention is not limited by the description and the drawings that constitute a part of the disclosure of the present invention. That is, other embodiments, examples, operational techniques, and the like made by those skilled in the art based on this embodiment are all included in the scope of the present invention.

１ 熱間圧延ライン
２ 仕上圧延機
３ 冷却装置
４ コイラー
５ マンドレル
６ コイルヤード
１０ 制御装置
Ｓ 金属帯 DESCRIPTION OF SYMBOLS 1 Hot rolling line 2 Finishing mill 3 Cooling device 4 Coiler 5 Mandrel 6 Coil yard 10 Control device S Metal strip

Claims (4)

仕上圧延機による熱間圧延後の金属帯を常温まで冷却した際に金属帯の長手方向の各位置において発生する形状変化を予測する予測ステップと、
前記予測ステップにおいて予測された金属帯の形状変化を補償するように仕上圧延機の出側に設けられたランアウトテーブルの出側における金属帯の目標形状を金属帯の長手方向位置に応じて設定し、ランアウトテーブル上の冷却装置を利用してランアウトテーブルの出側における金属帯形状を目標形状に制御する制御ステップと、
を含むことを特徴とする金属帯の形状制御方法。 A prediction step for predicting a shape change that occurs at each position in the longitudinal direction of the metal strip when the metal strip after hot rolling by a finishing mill is cooled to room temperature;
A target shape of the metal strip on the exit side of the run-out table provided on the exit side of the finish rolling mill is set according to the longitudinal position of the metal strip so as to compensate for the shape change of the metal strip predicted in the prediction step. A control step of controlling the metal strip shape on the exit side of the runout table to a target shape using a cooling device on the runout table;
The shape control method of a metal strip characterized by including. 前記制御ステップは、ランアウトテーブル上の冷却装置と共に仕上圧延機を利用して金属帯形状を設定された目標形状に制御するステップを含むことを特徴とする請求項１に記載の金属帯の形状制御方法。   The shape control of the metal strip according to claim 1, wherein the control step includes a step of controlling the metal strip shape to a set target shape using a finishing mill together with a cooling device on the runout table. Method. 前記予測ステップは、仕上圧延機の出側における金属帯の温度及び平坦度を初期値として、ランアウトテーブルでの冷却、コイラー巻取、及びコイル冷却の各過程での金属帯の温度及び応力・歪成分を相変態と共に解析することによって、金属帯の長手方向の各位置において発生する形状変化を予測するステップを含むことを特徴とする請求項１又は２に記載の金属帯の形状制御方法。   In the prediction step, the temperature and flatness of the metal strip on the exit side of the finish rolling mill are set as initial values, and the temperature, stress, and strain of the metal strip in each process of cooling at the run-out table, coiler winding, and coil cooling. The metal strip shape control method according to claim 1, further comprising a step of predicting a shape change occurring at each position in the longitudinal direction of the metal strip by analyzing the components together with the phase transformation. 仕上圧延機による熱間圧延後の金属帯を常温まで冷却した際に金属帯の長手方向の各位置において発生する形状変化を予測する予測手段と、
前記予測手段によって予測された金属帯の形状変化を補償するように仕上圧延機の出側に設けられたランアウトテーブルの出側における金属帯の目標形状を金属帯の長手方向位置に応じて設定し、ランアウトテーブル上の冷却装置を利用してランアウトテーブルの出側における金属帯形状を目標形状に制御する制御手段と、
を備えることを特徴とする金属帯の形状制御装置。 A predicting means for predicting a shape change that occurs at each position in the longitudinal direction of the metal strip when the metal strip after hot rolling by a finishing mill is cooled to room temperature;
A target shape of the metal strip on the exit side of the run-out table provided on the exit side of the finish rolling mill is set in accordance with the longitudinal position of the metal strip so as to compensate for the shape change of the metal strip predicted by the predicting means. A control means for controlling the metal strip shape on the exit side of the runout table to a target shape using a cooling device on the runout table;
A shape control device for a metal strip, comprising:
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