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JP2749754B2 - Rolling schedule setting method for reversible rolling mill - Google Patents
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JP2749754B2 - Rolling schedule setting method for reversible rolling mill - Google Patents

Rolling schedule setting method for reversible rolling mill

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Publication number
JP2749754B2
JP2749754B2 JP5054375A JP5437593A JP2749754B2 JP 2749754 B2 JP2749754 B2 JP 2749754B2 JP 5054375 A JP5054375 A JP 5054375A JP 5437593 A JP5437593 A JP 5437593A JP 2749754 B2 JP2749754 B2 JP 2749754B2
Authority
JP
Japan
Prior art keywords
rolling
power
upper limit
value
pass
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
Application number
JP5054375A
Other languages
Japanese (ja)
Other versions
JPH06262225A (en
Inventor
英樹 森信
滋 菱川
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Furukawa Electric Co Ltd
Original Assignee
Furukawa Electric Co Ltd
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Filing date
Publication date
Application filed by Furukawa Electric Co Ltd filed Critical Furukawa Electric Co Ltd
Priority to JP5054375A priority Critical patent/JP2749754B2/en
Publication of JPH06262225A publication Critical patent/JPH06262225A/en
Application granted granted Critical
Publication of JP2749754B2 publication Critical patent/JP2749754B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【産業上の利用分野】本発明は可逆式圧延機の圧延スケ
ジュールを設定する方法に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for setting a rolling schedule of a reversible rolling mill.

【0002】[0002]

【従来の技術】可逆式圧延機とは、図3に示すように圧
延ロール1に対して被圧延材4の移動方向の両側に移送
ロール2、3が設けられており、圧延ロ−ル1を所定に
圧下位置に位置させ、被圧延材4を圧延ロール1に対し
て一方の側から移送ロール2により圧延ロール1を通し
て他方の側に移送させて被圧延材4を一定の板厚に圧延
し(パス)、圧延ロ−ル1を前回より狭い圧下位置に位
置させ、被圧延材4を圧延ロール1に対して他方の側か
ら移送ロール2により圧延ロール1を通して一方の側に
移送させて被圧延材4を圧延する。(パス)。
2. Description of the Related Art As shown in FIG. 3, a reversible rolling mill is provided with transfer rolls 2 and 3 on both sides of a roll 1 in a moving direction of a material 4 to be rolled. The rolled material 4 is transported from one side to the other side through the rolling roll 1 by the transfer roll 2 with respect to the rolling roll 1 to roll the rolled material 4 to a constant thickness. Then, the rolling roll 1 is positioned at a narrower rolling position than the previous time, and the material 4 to be rolled is transferred to the rolling roll 1 from one side to the other side by the transfer roll 2 through the rolling roll 1. The material to be rolled 4 is rolled. (path).

【0003】この動作を繰り返して圧延を行う。パスと
パスとの間の被圧延材4が圧延ロ−ル1を通過しない時
間をアイドル時間という。なお、各ロール1、2、3は
図示しない電動機により回転駆動される。
[0003] Rolling is performed by repeating this operation. The time during which the material 4 to be rolled between passes does not pass through the rolling roll 1 is called idle time. The rolls 1, 2, and 3 are driven to rotate by an electric motor (not shown).

【0004】従来の可逆式圧延機を用いた圧延方法で
は、圧延機の許容動力範囲内において所定の板厚となる
最短のパス数で圧延を行う方法が用いられていた。しか
し、可逆式の圧延機においては、加速、減速の繰り返し
が行われるために、負荷の変動が激しいにもかかわらず
最短時間での圧延スケジュールを目指すので、駆動モー
タの温度上昇により圧延不可能となるという不具合があ
る。
[0004] In a conventional rolling method using a reversible rolling mill, a method is used in which rolling is performed with the shortest number of passes at a predetermined thickness within the allowable power range of the rolling mill. However, in reversible rolling mills, since acceleration and deceleration are repeated, aiming for a rolling schedule in the shortest time even though load fluctuations are severe, it is impossible to roll due to a rise in the temperature of the drive motor. There is a problem that becomes.

【0005】これは圧延ロールを回転駆動する際に生じ
る電動機の温度上昇による電動機の焼損を防止するため
に圧延を停止し、圧延機を休ませるためである。
[0005] This is because the rolling mill is stopped and the rolling mill is stopped in order to prevent the motor from burning due to a rise in the temperature of the motor when the rolling roll is driven to rotate.

【0006】そこで、この問題点を解決するための手段
として、圧延機の許容最大動力(電動機の仕様により決
る使用できる動力の最大値。)と許容圧延電流の二乗平
均(式1に示すように電動機の仕事量の時間平均に平方
根をとった値の許容範囲、熱的保護制約)の両方を満足
し、且つ圧延時間が最短となる圧延スケジュールをアイ
ドル時間を変えて演算し、この圧延スケジュールにより
圧延工程の制御を行うことにより効率の向上を図ること
を目的とする制御方法が提案されている(特公平2ー9
521号)。
Therefore, as means for solving this problem, the maximum allowable power of the rolling mill (the maximum value of usable power determined by the specifications of the electric motor) and the root mean square of the allowable rolling current (as shown in Equation 1) The rolling schedule that satisfies both the allowable range of the value of the square root of the time average of the work of the electric motor and the thermal protection constraint) and that minimizes the rolling time is calculated by changing the idle time. A control method aimed at improving the efficiency by controlling the rolling process has been proposed (Japanese Patent Publication No. 2-9).
No. 521).

【0007】[0007]

【数1】 (Equation 1)

【0008】[0008]

【発明が解決しようとする課題】従来の制御方法は、入
側温度、スラブ板厚、出側温度などの圧延仕様を決め、
圧延機の仕様により決まる荷重、トルク、速度などの値
がわかると、圧延動力曲線と、最小パス回数=所要総動
力/最大圧延許容動力という式から最小パス回数を求め
る。
In the conventional control method, rolling specifications such as an inlet temperature, a slab thickness, and an outlet temperature are determined.
When the values of the load, torque, speed, and the like determined by the specifications of the rolling mill are known, the minimum number of passes is obtained from the rolling power curve and the equation of minimum number of passes = required total power / maximum allowable rolling power.

【0009】そして、そのパス回数における動力、圧延
電流二乗平均が、圧延機の許容範囲内であるか、否かを
判定し、許容範囲内であれば、そのパス回数を圧延スケ
ジュールとし、許容範囲外であれば、アイドル時間を長
くして、圧延電流二乗平均を下げて計算するものであ
る。しかし、この制御方法では、圧延スケジュールにお
ける動力、圧延電流二乗平均が圧延機の許容範囲内に入
っても、その許容範囲内で最も圧延機の能力を出す値に
ならない場合があり、また許容範囲外であるとアイドル
時間を長くすることになるので、圧延に要しない時間が
増大して圧延効率を下げることになる。その結果、圧延
機の許容動力範囲内での能力を最大限に利用できないと
いう問題点があった。
Then, it is determined whether or not the power and the rolling current square mean in the number of passes are within the allowable range of the rolling mill. If the power is within the allowable range, the number of passes is regarded as the rolling schedule. If outside, the idle time is lengthened, and the rolling current root mean square is lowered to calculate. However, in this control method, even if the power in the rolling schedule and the rolling current square mean fall within the allowable range of the rolling mill, there is a case where the value of the rolling mill within the allowable range does not become the value that brings out the capability of the rolling mill. Outside the range, the idle time is lengthened, so that the time not required for rolling increases and the rolling efficiency decreases. As a result, there is a problem that the capacity within the allowable power range of the rolling mill cannot be used to the maximum.

【0010】本発明は前記事情に基づいてなされたもの
で、圧延機の許容動力範囲内での能力を最大限に利用で
きるようにした可逆式圧延機の圧延スケジュール設定方
法を提供することを目的とする。
The present invention has been made in view of the above circumstances, and an object of the present invention is to provide a method for setting a rolling schedule of a reversible rolling mill that makes the most of the capability within the allowable power range of the rolling mill. And

【0011】[0011]

【課題を解決するための手段】前記目的を達成するため
に本発明の可逆式圧延機の圧延スケジュール設定方法
は、可逆式圧延機の圧延スケジュールを設定するに際し
て、許容最大圧延動力を超えず且つ各パスのアイドル時
間を含めた動力平均値が電動機および電源の熱的保護に
よる制約条件の限界と等しくなるよう動力上限値を設定
する係数を各パス毎に算出し、次に算出した前記係数を
許容最大圧延動力に乗じて各パス毎に設定動力上限値を
求め、次に各パス毎に求めた前記設定動力上限値を実現
する圧延速度および圧延ロールの圧下量を算出すること
を特徴とする。
In order to achieve the above-mentioned object, a method for setting a rolling schedule of a reversible rolling mill according to the present invention, when setting a rolling schedule of a reversible rolling mill, does not exceed an allowable maximum rolling power and A coefficient for setting a power upper limit value for each path so that the average power value including the idle time of each path is equal to the limit of the constraint condition due to the thermal protection of the motor and the power supply is calculated for each path, and then the calculated coefficient is calculated. Multiplying the allowable maximum rolling power to obtain a set power upper limit value for each pass, and then calculating a rolling speed and a rolling reduction of the rolling roll to realize the set power upper limit value obtained for each pass. .

【0012】[0012]

【作用】本発明の設定方法は、各パスの圧延条件、設備
制約により考えられる最短の無負荷アイドル時間と各パ
スの時間を考慮した中で、圧延機の許容最大動力を超え
ず、且つ動力平均値が圧延電流二乗平均の最大値と相等
しくなる係数を乗じて動力上限値を設定し、その動力上
限値になるように各パスの圧延速度をおよび圧延ロール
の圧下量を算出して最短時間、最大能率の圧延スケジュ
ールを設定する。
The setting method of the present invention does not exceed the allowable maximum power of the rolling mill while considering the minimum no-load idle time and the time of each pass conceivable due to the rolling conditions of each pass and equipment restrictions. The power upper limit value is set by multiplying the coefficient by which the average value is equal to the maximum value of the rolling current root mean square, and the rolling speed of each pass and the rolling reduction of the rolling roll are calculated so that the power upper limit value is obtained. Set the rolling schedule for time and maximum efficiency.

【0013】上記のように動力上限値を設定する係数
に、各パスの予測圧延時間、最短のアイドル時間を導入
することで、この係数を各パスにおいて有効なものと
し、アイドル時間を長くして動力平均を調整することに
よる電流二乗平均の無駄もなくすことができる。
By introducing the predicted rolling time of each pass and the shortest idle time to the coefficient for setting the power upper limit value as described above, the coefficient is made effective in each pass, and the idle time is increased. It is possible to eliminate the waste of the current square mean by adjusting the power average.

【0014】また、この係数に許容最大圧延動力、電流
二乗平均の許容最大値を考慮することにより、許容最大
圧延動力を超えず、動力平均値が電流二乗平均の許容最
大値と等しくなる動力上限値を設定できる。
Also, by taking into account the allowable maximum rolling power and the allowable maximum value of the current square mean in this coefficient, the power upper limit at which the power average value does not exceed the allowable maximum rolling power and the power average value becomes equal to the allowable maximum value of the current square mean. You can set the value.

【0015】従って、これらの相互作用により圧延ロ−
ルを駆動する電動機の温度保障を行った状態で最短時
間、最大能率の圧延スケジュールを設定することができ
る。
[0015] Therefore, by the interaction of these, the rolling roll
In the state where the temperature of the motor driving the motor is ensured, the rolling schedule of the shortest time and the maximum efficiency can be set.

【0016】[0016]

【実施例】本発明の一実施例について図面を参照して説
明する。
An embodiment of the present invention will be described with reference to the drawings.

【0017】本発明は、図3に示す可逆式圧延機におい
て被圧延材を圧延するスケジュールを設定する方法を対
象としている。
The present invention is directed to a method for setting a schedule for rolling a material to be rolled in a reversible rolling mill shown in FIG.

【0018】本実施例の圧延スケジュール設定方法につ
いて図1を参照して説明する。
A method of setting a rolling schedule according to the present embodiment will be described with reference to FIG.

【0019】まず、被圧延材の形状寸法、材質などの条
件と圧延機の仕様許容値より決定される圧下量テーブル
に基づいて、被圧延材のパススケジュールを算出する
(SP1)。
First, the pass schedule of the material to be rolled is calculated based on the conditions such as the shape and dimensions and the material of the material to be rolled and the rolling reduction table determined from the allowable value of the specification of the rolling mill (SP1).

【0020】次にこのパススケジュールにおいて、圧延
機の仕様最大速度を初期値として、各パスにおける圧延
荷重、圧延トルク、圧延動力などの圧延条件を設定計算
より求める(SP2)。
Next, in this pass schedule, rolling conditions such as rolling load, rolling torque, rolling power and the like in each pass are determined by setting calculation using the maximum speed of the rolling mill as an initial value (SP2).

【0021】次に、動力上限値(熱的負荷制約を考えて
上限値に係数を掛けて実際に使用する設定上限値)を決
定する係数を、次の条件に基づいて各パス毎に算出す
る。すなわち、許容最大応力を超えることなく、且つ各
パスのアイドル時間を含めた動力平均値が電動機、電源
の熱的保護による制約条件の限界と相等しくなるように
動力上限値を設定する係数を求める(SP3)。
Next, a coefficient for determining a power upper limit value (a set upper limit value that is actually used by multiplying the upper limit value by a coefficient in consideration of a thermal load constraint) is calculated for each path based on the following conditions. . That is, a coefficient for setting the power upper limit value is determined so that the average value of the power including the idle time of each path does not exceed the allowable maximum stress and is equal to the limit of the constraint due to the thermal protection of the electric motor and the power supply. (SP3).

【0022】本実施例では、熱的保護の制約条件として
電流二乗平均を用いており、動力上限値を設定する係数
が式2を満足するように求める。式2において電流二乗
平均の許容最大値とは電流二乗平均の電動機仕様最大値
をいう。
In this embodiment, the current root mean square is used as a constraint for thermal protection, and the coefficient for setting the upper power limit is determined so as to satisfy Equation 2. In Equation 2, the allowable maximum value of the current mean square means the motor specification maximum value of the current mean square.

【0023】[0023]

【数2】 次に算出した係数を圧延機の仕様により決定される図4
の動力ー速度曲線に示される許容最大圧延動力に乗じ
て、各パス毎に設定動力上限値を求める(SP4)。
(Equation 2) Next, the calculated coefficient is determined by the specifications of the rolling mill.
Is multiplied by the permissible maximum rolling power shown in the power-speed curve of (1) to obtain a set power upper limit value for each pass (SP4).

【0024】次に、計算動力値が設定動力上限の許容範
囲に入っているか、否かを判断する(SP5)。
Next, it is determined whether or not the calculated power value falls within the allowable range of the set power upper limit (SP5).

【0025】計算動力値が許容範囲に入っている場合に
は、圧延スケジュールを決定する(SP6)。計算動力
値が許容範囲に入ない場合には、計算動力値が設定動力
上限値になるように速度を設定し、その速度において計
算を再度行って速度を求める(SP7)、(SP8)、
(SP9)。
If the calculated power value falls within the allowable range, a rolling schedule is determined (SP6). If the calculated power value does not fall within the allowable range, the speed is set so that the calculated power value becomes the set power upper limit value, and the speed is calculated again at that speed to obtain the speed (SP7), (SP8),
(SP9).

【0026】本発明の設定方法について説明を加える。The setting method of the present invention will be described.

【0027】圧延機の仕様により図4に示すような動力
ー速度曲線(実線)が決まっている。本発明では電動機
の熱的負荷を考慮するため(圧延は連続して行われるの
で、電動機の発熱量は積算されるため)、動力上限値の
設定値を図示実線で示す仕様最大の動力上限値のレベル
より図示破線に示すように下げる必要がある。
A power-speed curve (solid line) as shown in FIG. 4 is determined according to the specifications of the rolling mill. In the present invention, since the thermal load of the motor is taken into account (since the rolling is performed continuously, the calorific value of the motor is integrated), the set value of the power upper limit is set to the specified maximum power upper limit indicated by the solid line in the figure. It is necessary to lower the level as shown by the broken line in the figure.

【0028】このように設定動力上限値を下げるために
は仕様最大の動力上限値(許容最大圧延動力)に係数を
掛ける。この係数は式2を満たすものである。
In order to reduce the set upper limit of the power, a coefficient is multiplied by the upper limit of the specified maximum power (allowable maximum rolling power). This coefficient satisfies Equation 2.

【0029】また、全ての圧延スケジュールにおいて、
この制約を満たすように各パスについて係数を計算して
動力上限値を設定できる。
Also, in all rolling schedules,
The power upper limit can be set by calculating a coefficient for each path so as to satisfy this constraint.

【0030】圧延に際して各パスの動力平均値が上記の
ように設定された動力上限値をオーバすると、その動力
上限値になるように速度を再設定するが、その設定速度
が基準速度(図中ベース速度)より小さくなると、圧下
量テーブルの値を小さくし、パス数を増やして、再度計
算を行い速度を基準値以上にする。
When the average value of the power of each pass exceeds the upper limit of power set as described above during rolling, the speed is reset so as to reach the upper limit of power. If the speed is smaller than the base speed, the value in the rolling reduction table is reduced, the number of passes is increased, and the calculation is performed again to make the speed equal to or higher than the reference value.

【0031】以上の方法で、許容最大動力を越えること
なく、平均動力が電動機の熱的保護制約の限界に相当す
る圧下量と速度を有する圧延スケジュールを決定する。
In this way, a rolling schedule is determined in which the average power has a reduction and speed corresponding to the limits of the thermal protection constraints of the motor without exceeding the maximum allowable power.

【0032】次に本発明の方法と従来の方法との比較に
ついて図2を参照して説明する。
Next, a comparison between the method of the present invention and the conventional method will be described with reference to FIG.

【0033】なお、図2においてAは電流二乗平均限界
値、Bは電流二乗平均推移を示している。
In FIG. 2, A represents the current root mean square limit value, and B represents the current root mean square transition.

【0034】図2(b)は本発明の方法を採用した圧延
における圧延時間経過と電流二乗平均の推移を示す線
図、図2(a)は本発明方法を採用しない圧延における
圧延時間経過と電流二乗平均の推移を示す線図であり、
夫々の線図は縦軸で電流二乗平均を示し、横軸で圧延時
間の経過を示している。
FIG. 2 (b) is a diagram showing the rolling time progress and the transition of the current mean square in the rolling employing the method of the present invention. FIG. 2 (a) is a diagram showing the rolling time progress in the rolling not employing the method of the present invention. FIG. 3 is a diagram showing a change in a mean square current;
In each diagram, the vertical axis indicates the current root mean square, and the horizontal axis indicates the elapse of the rolling time.

【0035】図2(a)と図2(b)を比較すると、双
方とも電流二乗平均がその限界値を越えていないが、本
発明方法を採用した圧延はその値に無駄がなく、単位時
間当りに投入できる電力の能率も、本例の場合では約6
%程度向上できることがわかる。
A comparison between FIG. 2A and FIG. 2B shows that the current root mean square does not exceed the limit value in both cases. The efficiency of the power that can be supplied per hit is about 6 in this case.
% Can be improved.

【0036】なお、この実施例では電動機の熱的保護制
約として電流二乗平均を挙げたが、これは電子サーマル
などのその他の要因やその組合せを用いても良い。
In this embodiment, the current root-mean-square is mentioned as the thermal protection constraint of the electric motor, but other factors such as electronic thermal or a combination thereof may be used.

【0037】[0037]

【発明の効果】以上説明したように本発明の可逆式圧延
機の圧延スケジュール設定方法によれば、圧延動力曲線
に許容最大電流二乗平均を満し、且つ圧延時間および一
定のアイドル時間を反映する係数を用いて、設定動力上
限値を制御するようにしたので、圧延ロール駆動用の電
動機の温度上昇による圧延不能になる問題を解決できる
だけでなく、従来の方法の問題であったアイドル時間の
長短による圧延電流二乗平均の無駄をなくし、許容範囲
内で最短、最大能率の圧延スケジュールを求めることが
できる。
As described above, according to the rolling schedule setting method of the reversible rolling mill of the present invention, the rolling power curve satisfies the allowable maximum current root mean square, and reflects the rolling time and the constant idle time. The set power upper limit value is controlled using the coefficient, so that not only the problem that rolling cannot be performed due to the temperature rise of the electric motor for driving the rolling rolls can be solved, but also the length of idle time which is a problem of the conventional method. , And the shortest and maximum rolling schedule within the allowable range can be obtained.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の圧延スケジュール設定方法の一実施例
を示すフローチャート。
FIG. 1 is a flowchart showing one embodiment of a rolling schedule setting method of the present invention.

【図2】(a)は本発明方法を採用しない圧延における
電流二乗平均を示す線図。(b)は本発明方法を採用し
た圧延における電流二乗平均を示す線図。
FIG. 2 (a) is a diagram showing a mean square current in rolling in which the method of the present invention is not employed. (B) is a diagram showing a current square mean in rolling employing the method of the present invention.

【図3】可逆式圧延機の基本的構成を示す線図。FIG. 3 is a diagram showing a basic configuration of a reversible rolling mill.

【図4】圧延機における動力ー速度曲線を示す線図。FIG. 4 is a diagram showing a power-speed curve in a rolling mill.

【符号の説明】[Explanation of symbols]

1…圧延ロール、2,3…移送ロール、4…被圧延材。 1. Rolling roll, 2, 3 Transfer roll, 4 ... Rolled material.

Claims (1)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】 可逆式圧延機の圧延スケジュールを設定
するに際して、許容最大圧延動力を超えず且つ各パスの
アイドル時間を含めた動力平均値が電動機および電源の
熱的保護による制約条件の限界と等しくなるよう動力上
限値を設定する係数を各パス毎に算出し、次に算出した
前記係数を許容最大圧延動力に乗じて各パス毎に設定動
力上限値を求め、次に各パス毎に求めた前記設定動力上
限値を実現する圧延速度および圧延ロールの圧下量を算
出することを特徴とする可逆式圧延機の圧延スケジュー
ル設定方法。
When a rolling schedule of a reversible rolling mill is set, an average power value including an allowable maximum rolling power and including an idle time of each pass is determined by a limitation of a constraint condition due to thermal protection of a motor and a power supply. A coefficient for setting the power upper limit value to be equal is calculated for each pass, then the calculated coefficient is multiplied by an allowable maximum rolling power to obtain a set power upper limit value for each pass, and then obtained for each pass. A method for setting a rolling schedule for a reversible rolling mill, comprising calculating a rolling speed and a rolling reduction of a rolling roll for realizing the set power upper limit value.
JP5054375A 1993-03-15 1993-03-15 Rolling schedule setting method for reversible rolling mill Expired - Fee Related JP2749754B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP5054375A JP2749754B2 (en) 1993-03-15 1993-03-15 Rolling schedule setting method for reversible rolling mill

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP5054375A JP2749754B2 (en) 1993-03-15 1993-03-15 Rolling schedule setting method for reversible rolling mill

Publications (2)

Publication Number Publication Date
JPH06262225A JPH06262225A (en) 1994-09-20
JP2749754B2 true JP2749754B2 (en) 1998-05-13

Family

ID=12968933

Family Applications (1)

Application Number Title Priority Date Filing Date
JP5054375A Expired - Fee Related JP2749754B2 (en) 1993-03-15 1993-03-15 Rolling schedule setting method for reversible rolling mill

Country Status (1)

Country Link
JP (1) JP2749754B2 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102510778A (en) * 2009-09-24 2012-06-20 西门子公司 Rolling method having optimized strain penetration

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2001071009A (en) 1999-09-03 2001-03-21 Hitachi Ltd Reversible rolling method and reversible rolling equipment

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102510778A (en) * 2009-09-24 2012-06-20 西门子公司 Rolling method having optimized strain penetration
US9073107B2 (en) 2009-09-24 2015-07-07 Siemens Aktiengesellschaft Rolling method having optimized strain penetration

Also Published As

Publication number Publication date
JPH06262225A (en) 1994-09-20

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