CN108268714A - A kind of steel plate is the same as the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed - Google Patents
A kind of steel plate is the same as the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed Download PDFInfo
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Abstract
A kind of steel plate belongs to slab Plastic Forming field with the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed；It is characterized in the direction according to snakelike contact in rolling contact surface frictional force, zone of slippage on the entry side I, IV 4 part of Cuo Zha areas II, zone of slippage on the delivery side III and recurvation area is divided into deformation；This four regions might not exist simultaneously, and primarily determine that deformed area forms state according to the relationship of nip angle and neutral angle；State, primary condition, boundary condition are formed according to deformed area, determine the computation model of roll-force and roll torque；The present invention can accurately predict roll-force and roll torque, and theoretical foundation is provided for the design of snakelike rolling mill practice and rolling mill structure design.
Description
Technical field
The invention belongs to slab plastic forming technology fields, and in particular to a kind of steel plate is the same as the snakelike rolling force of diameter friction speed
The computational methods of parameter.
Background technology
With national economy fast development, defence and military equipment, naval vessel, nuclear power, ocean platform, pressure vessel, heavy machine
The great high-end technology equipment such as tool is vigorous for high-performance steel plate product demand, and the comprehensive performance of steel plate is required continuous
It is promoted.But since center portion deformation is insufficient during steel plate Rolling Production, leading to center portion, there are as-cast structure, mechanical properties
It is relatively low.In order to improve center portion mechanical property, generally by the way of overall compression ratio is improved, but it is limited by conticaster production capacity
And the limitation of milling train opening degree and mill stiffness etc., total compression ratio are generally difficult to reach technological requirement, also just can not
Obtain core structure steel plate of good performance.
It is influenced by thickness direction heterogeneous deformation during steel plate rolling, causes center portion deformation insufficient, and asynchronous rolled
It makes the structure property that carries out in Thin Strip Steel production to examine it has been shown that its crystal grain is refined compared with symmetric rolling, illustrate different
Step rolling has the function of to improve the deformation of strip center portion.But steel plate asymmetrical rolling is differed due to upper and lower working roll linear velocity
It causes to lead to the appearance of steel plate bending problem, influences subsequently to turn biting for steel and lower a time.In order to which the bending for solving steel plate is asked
Working roll at a slow speed on the basis of conventional asynchronous rolling along rolling direction is moved a certain distance, forms snakelike rolling by topic, this
When deformed area formed a recurvation deformed area, play inhibit steel plate bending purpose.
Force-power parameter be not only rolling mill practice design and rolling mill structure design important evidence, and be also ensure milling train and
The premise of main motor safe operation.In order to ensure milling train can smoothly shut out steel plate of good performance, it is necessary to provide a kind of
Steel plate is the same as the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed.
Invention content
The purpose of the present invention is to provide a kind of steel plate with the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed, with standard
Really prediction roll-force and roll torque.
To achieve the above object, the technical solution used in the present invention it is characterized in that：Specific calculating step is as follows：
1) it calculates with the snakelike rolling nip angle of diameter friction speed
Upper and lower working roll drafts Δ h is determined according to snakelike contact in rolling geometrical relationship1、Δh2Calculation formula is distinguished
For：
In formula：
In formula：R-working roll radius, H-steel plate ingoing ga(u)ge, h0- steel plate outgoing gauge, d-magnitude of misalignment；
With the snakelike upper and lower working roll nip angle α of rolling of diameter friction speed1、α2Calculation formula is respectively：
Asynchronous region length calculation formula：
2) it calculates with the snakelike rolling neutral angle of diameter friction speed
The advancing slip value S of the snakelike upper and lower working roll of rolling1、S2Calculation formula is respectively：
In formula：v0- deformed area muzzle velocity, v1、v2- it is respectively upper and lower work roll surface linear velocity；
Upper and lower working roll neutral angle γ is determined according to snakelike contact in rolling geometrical relationship1、γ2Calculation formula is respectively：
3) rolled piece material yield criterion is calculated
The yield criterion for determining rolled piece material according to Von-Miss yield criterions is：
In formula：σx、σyDirect stress on-x, y direction that respectively rolled piece material is subject to, σsThe rheology of-rolled piece material should
Power, m-friction coefficient；
In view of σx=q, σy=-p is obtained
4) plastically deforming area unit pressure
As one of the features of the present invention, as shown in Figure 1, 2, according to the direction of deformed area contact surface frictional force by deformed area
It is divided into zone of slippage on the entry side I, Cuo Zha areas II, zone of slippage on the delivery side III, IV 4 part of recurvation area；
The unit pressure computation model for determining in deformed area I, II, III, IV based on slab method is respectively：
5) roll-force and roll torque are calculated
As one of the features of the present invention, according to upper and lower working roll nip angle α1、α2With upper and lower working roll neutral angle γ1、
γ2Relationship primarily determine deformed area form state；
As one of the features of the present invention, according to deformed area form state, primary condition, boundary condition determine roll-force,
Roll torque computation model；
In top working roll throw point O, boundary condition is：X=0, q=0, thereforeSubstitution formula
(14) C is obtainedⅣ；
Work as γ1≥α1、γ2When=0, deformed area is made of Cuo Zha areas II and recurvation area IV；At this time in deformed area inlet,
Boundary condition is：X=l, q=0, thereforeSubstitution formula (12) obtains CⅡ；
Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
In formula：B-rolled piece width, l-asynchronous region length；
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
In formula：K is shear-deformable drag.
Work as γ1＜ α1、γ2When=0, deformed area is made of zone of slippage on the entry side I, Cuo Zha areas II and IV three of recurvation area；Becoming at this time
Shape area inlet, boundary condition are：X=l, q=0, thereforeSubstitution formula (11) obtains CⅠ；
Because there is p at x=dⅡ=pⅣ, C is calculatedⅡ；In x=xn1, there is p at placeⅠ=pⅡ, therefore work is calculated
Neutral point x at rollern1；Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
Work as γ1＜ α1、γ2＜ α2When, deformed area is by IV 4 groups of zone of slippage on the entry side I, Cuo Zha areas II, zone of slippage on the delivery side III and recurvation area
Into；At this time in deformed area inlet, boundary condition is：X=l, q=0, thereforeSubstitution formula (11)
Obtain CⅠ；Because there is p at x=dⅢ=pⅣ, C is calculatedⅢ；In x=xn1, there is p at placeⅠ=pⅡ, therefore C is calculatedⅡ(x=
xn1)；In x=xn2, there is p at placeⅡ=pⅢ, therefore C is calculatedⅡ(x=xn2)；
CⅡ(x=xn1)=CⅡ(x=xn2)(21)
Metal material volume in the operation of rolling remains unchanged, therefore with following relationship：
In formula：v1、v2- be respectively upper and lower working roll linear resonance surface velocity, xn1、xn2- it is respectively at upper and lower working roll
Neutral point；
Simultaneous formula (21) and formula (22) acquire xn1、xn2And CⅡ。
Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
The beneficial effects of the invention are as follows：Relationship according to nip angle and neutral angle can be with the group of tentative prediction contact in rolling
Into state, state, boundary condition, primary condition are formed according to deformed area accurately to calculate roll-force, roll torque, rolled to be snakelike
Technological design processed and rolling mill structure design provide theoretical foundation.
Description of the drawings
Fig. 1 is snakelike contact in rolling geometrical relationship schematic diagram；
Fig. 2 is cell cube stress diagram in deformed area；
In figure, R1,R2The radius of-upper and lower working roll；n1,n2The rotating speed of-upper and lower working roll；D-upper and lower working roll
Off(-)center amount；Δh1,Δh2The drafts of-upper and lower working roll；L-asynchronous region length；H-steel plate ingoing ga(u)ge；h0- steel
Plate outgoing gauge；α1,α2The nip angle of-upper and lower working roll；γ1,γ2The neutral angle of-upper and lower working roll；xn1,xn2- upper,
Neutral point at bottom working roll；XOy-coordinate system；O-coordinate origin；I-zone of slippage on the entry side；II-Cuo Zha areas；III-zone of slippage on the delivery side；
IV-recurvation area；τ1,τ2The friction stree of-upper and lower working roll and rolled piece；Being averaged of-cell cube upper and lower part is cut should
Power；σx- horizontal direction direct stress；p1- top working roll compression；p2- bottom working roll compression；θ1,θ2- contact arc and x-axis
Change angulation.
Specific embodiment
It is right below in conjunction with attached drawing in order to which those of skill in the art is made to be better understood from technical scheme of the present invention
Technical solution of the present invention is described in detail.It should be noted that specific embodiment described herein is only used to explain this hair
It is bright, it is not intended to limit the present invention.
By taking certain 4600 heavy and medium plate mill as an example, detail parameters are as shown in table 1.Three groups of difference friction speeds are taken than carrying out specifically
It is bright：
First group of data：Top working roll linear velocity 1.3m/s, bottom working roll linear velocity 1.305m/s；
Second group of data：Top working roll linear velocity 1.3m/s, bottom working roll linear velocity 1.325m/s；
Third group data：Top working roll linear velocity 1.3m/s, bottom working roll linear velocity 1.55m/s；
1 rolling parameter of table
1. it calculates with the snakelike rolling nip angle of diameter friction speed
It is calculated according to the upper and lower working roll drafts calculation formula (1) of the snakelike rolling of same diameter friction speed, (2)：
First group of data：Δh1=17.2618mm, Δ h2=14.7382mm；
Second group of data：Δh1=17.2618mm, Δ h2=14.7382mm；
Third group data：Δh1=17.2618mm, Δ h2=14.7382mm；
It is calculated according to the snakelike rolling nip angle calculation formula (3) of same diameter friction speed, (4)：
First group of data：α1=14.69 °, α2=13.57 °；
Second group of data：α1=14.69 °, α2=13.57 °；
Third group data：α1=14.69 °, α2=13.57 °；
It is calculated according to asynchronous region length calculation formula (5)：
First group of data：L=133.58mm；
Second group of data：L=133.58mm；
Third group data：L=133.58mm；
2. it calculates with the snakelike rolling neutral angle of diameter friction speed
First group of data：Deformed area muzzle velocity v is measured through experimental field0=1.314m/s；
It is calculated according to the advancing slip value calculation formula (6) of the snakelike upper and lower working roll of rolling, (7)：
S1=0.01077, S2=0.006897；
It is calculated according to the upper and lower working roll neutral angle calculation formula (8) of snakelike rolling, (9)：
γ1=3.83 °, γ2=3.07 °；
Second group of data：Deformed area muzzle velocity v is measured through experimental field0=1.325m/s；
It is calculated according to the advancing slip value calculation formula (6) of the snakelike upper and lower working roll of rolling, (7)：
S1=0.01923, S2=0；
It is calculated according to the upper and lower working roll neutral angle calculation formula (8) of snakelike rolling, (9)：
γ1=5.12 °, γ2=0 °；
The third situation：Deformed area muzzle velocity v is measured through experimental field0=1.55m/s；
It is calculated according to the advancing slip value calculation formula (6) of the snakelike upper and lower working roll of rolling, (7)：
S1=0.1923, S2=0；
It is calculated according to the upper and lower working roll neutral angle calculation formula (8) of snakelike rolling, (9)：
γ1=16.24 °, γ2=0 °；
3. calculate rolled piece material yield criterion
It is calculated according to rolled piece material yield criterion calculation formula (10)：
First group of data：
Second group of data：
Third group data：
4. plastically deforming area unit pressure
5. calculate roll-force and roll torque
(1) first group of data：Top working roll linear resonance surface velocity v1=1.30m/s, bottom working roll linear resonance surface velocity v2=
1.305m/s；At this point, α1=14.69 °, α2=13.57 °；γ1=3.83 °, γ2=3.07 °；γ1＜ α1、γ2＜ α2, deformed area
It is made of zone of slippage on the entry side I, Cuo Zha areas II, zone of slippage on the delivery side III and recurvation area IV 4.At this point, in top working roll throw point O, boundary condition
For：X=0, q=0, therefore obtain pⅣ=118.98MPa substitutes into formula (14) and obtains CⅣ=294.31MPa；In deformed area inlet,
Boundary condition is：X=133.58mm, q=0, therefore obtain pⅠ=118.98MPa substitutes into formula (11) and acquires CⅠ=304.21MPa；Cause
To there is p at x=dⅢ=pⅣ, C is calculatedⅢ=293.88MPa；In x=xn1, there is p at placeⅠ=pⅡ, therefore C is calculatedⅡ(x
=xn1)；In x=xn2, there is p at placeⅡ=pⅢ, therefore C is calculatedⅡ(x=xn2)。
Simultaneous formula (21) and formula (22) acquire xn1=35.59mm, xn2=20.92mm, CⅡ=298.18MPa.
At this point, each unknown constant has all acquired in unit pressure calculation formula (11), (12), (13), (14).
Rolling force F=48120.21KN is calculated according to formula (23)；
Top working roll roll torque T is calculated according to formula (24), (25)1=2186.95KNm, bottom working roll rolling
Torque T2=3564.98KNm.
(2) second groups of data：Top working roll linear resonance surface velocity v1=1.30m/s, bottom working roll linear resonance surface velocity v2=
1.325m/s；At this point, α1=14.69 °, α2=13.57 °；γ1=5.12 °, γ2=0 °；γ1＜ α1、γ2=0, deformed area by
Zone of slippage on the entry side I, Cuo Zha areas II and IV three of recurvation area composition；At this point, in top working roll throw point O, boundary condition is：X=0, q=
0, therefore obtain pⅣ=118.98MPa substitutes into formula (14) and obtains CⅣ=294.31MPa；In deformed area inlet, boundary condition is：x
=133.58mm, q=0, therefore obtain pⅠ=118.98MPa substitutes into formula (11) and acquires CⅠ=304.21MPa；Because have at x=d
pⅡ=pⅣ, C is calculatedⅡ=295.95MPa；In x=xn1, there is p at placeⅠ=pⅡ, therefore neutral point at top working roll is calculated
xn1=46.56mm.
Rolling force F=47949.24KN is calculated according to formula (18)；
Top working roll roll torque T is calculated according to formula (19), (20)1=1417.98KNm, bottom working roll rolling
Torque T2=4330.62KNm.
(3) third group data：Top working roll linear resonance surface velocity v1=1.30m/s, bottom working roll linear resonance surface velocity v2=
1.55m/s；At this point, α1=14.69 °, α2=13.57 °；γ1=16.24 °, γ2=0 °；γ1＞ α1、γ2=0, deformed area by
Cuo Zha areas II and recurvation area IV form；At this point, in top working roll throw point O, boundary condition is：X=0, q=0, therefore obtain pⅣ=
118.98MPa substitutes into formula (14) and obtains CⅣ=294.31MPa；In deformed area inlet, boundary condition is：X=133.58mm, q
=0, therefore obtain pⅡ=118.98MPa substitutes into formula (12) and acquires CⅡ=278.81MPa.
Rolling force F=43856.52KN is calculated according to formula (15)；
Top working roll roll torque T is calculated according to formula (16), (17)1=-4681.05KNm, bottom working roll rolling
Torque T2=4330.62KNm.
Claims (1)
1. a kind of steel plate is the same as the computational methods of the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed, it is characterised in that specifically calculating step is：
1) it calculates with the snakelike rolling nip angle of diameter friction speed
Upper and lower working roll drafts Δ h is determined according to snakelike contact in rolling geometrical relationship1、Δh2Calculation formula is respectively：
In formula：
In formula：R-working roll radius, H-steel plate ingoing ga(u)ge, h0- steel plate outgoing gauge, d-magnitude of misalignment；
With the snakelike upper and lower working roll nip angle α of rolling of diameter friction speed1、α2Calculation formula is respectively：
Asynchronous region length calculation formula：
2) it calculates with the snakelike rolling neutral angle of diameter friction speed
The advancing slip value S of the snakelike upper and lower working roll of rolling1、S2Calculation formula is respectively：
In formula：v0- deformed area muzzle velocity, v1、v2- it is respectively upper and lower work roll surface linear velocity；
Upper and lower working roll neutral angle γ is determined according to snakelike contact in rolling geometrical relationship1、γ2Calculation formula is respectively：
3) rolled piece material yield criterion is calculated
The yield criterion for determining rolled piece material according to Von-Miss yield criterions is：
In formula：σx、σyDirect stress on-x, y direction that respectively rolled piece material is subject to, σsThe flow stress of-rolled piece material,
M-friction coefficient；
In view of σx=q, σy=-p is obtained
4) plastically deforming area unit pressure
According to the direction of deformed area contact surface frictional force by deformation divide into zone of slippage on the entry side (I), Cuo Zha areas (II), zone of slippage on the delivery side (III),
(IV) four part of recurvation area；
Based on slab method determine in deformed area (I), (II), (III), (IV) unit pressure computation model be respectively：
5) roll-force and roll torque are calculated
According to upper and lower working roll nip angle α1、α2With upper and lower working roll neutral angle γ1、γ2Relationship primarily determine deformation district's groups
Into state；
State, primary condition, boundary condition are formed according to deformed area and determine roll-force, roll torque computation model；
In top working roll throw point O, boundary condition is：X=0, q=0, thereforeSubstitution formula (14)
Obtain CⅣ；
Work as γ1≥α1、γ2When=0, deformed area is made of Cuo Zha areas (II) and recurvation area (IV)；At this time in deformed area inlet,
Boundary condition is：X=l, q=0, thereforeSubstitution formula (12) obtains CⅡ；
Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
In formula：B-rolled piece width, l-asynchronous region length；
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
In formula：K is shear-deformable drag；
Work as γ1＜ α1、γ2When=0, deformed area is made of zone of slippage on the entry side (I), Cuo Zha areas (II) and recurvation area (IV) three；Exist at this time
Deformed area inlet, boundary condition are：X=l, q=0, thereforeSubstitution formula (11) obtains CⅠ；
Because there is p at x=dⅡ=pⅣ, C is calculatedⅡ；In x=xn1, there is p at placeⅠ=pⅡ, therefore be calculated at top working roll
Neutral point xn1；Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
Work as γ1＜ α1、γ2＜ α2When, deformed area is by zone of slippage on the entry side (I), Cuo Zha areas (II), zone of slippage on the delivery side (III) and recurvation area (IV) four
Composition；At this time in deformed area inlet, boundary condition is：X=l, q=0, thereforeSubstitution formula
(11) C is obtainedⅠ；Because there is p at x=dⅢ=pⅣ, C is calculatedⅢ；In x=xn1, there is p at placeⅠ=pⅡ, therefore C is calculatedⅡ
(x=xn1)；In x=xn2, there is p at placeⅡ=pⅢ, therefore C is calculatedⅡ(x=xn2)；
CⅡ(x=xn1)=CⅡ(x=xn2) (21)
Metal material volume in the operation of rolling remains unchanged, therefore with following relationship：
In formula：v1、v2- be respectively upper and lower working roll linear resonance surface velocity, xn1、xn2- be respectively upper and lower working roll in
Property point；
Simultaneous formula (21) and formula (22) acquire xn1、xn2And CⅡ；
Unit pressure is integrated along contact arc to get to the snakelike rolling roll-force of same diameter friction speed：
The roll torque of upper and lower working roll is obtained by calculating along the torque of the frictional force on upper and lower working roll contact arc：
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Cited By (6)
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| CN109711101A (en) * | 2019-01-24 | 2019-05-03 | 太原科技大学 | A method of solving the snakelike Calculating Rolling Force Energy Parameters of the synchronized reducing of thick steel plate |
| CN109840373A (en) * | 2019-01-24 | 2019-06-04 | 太原科技大学 | A method of thick steel plate is solved with the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed |
| CN109885972A (en) * | 2019-03-22 | 2019-06-14 | 东北大学 | The deformation Division of cross-shear rolling strip and the calculation method of each subregion accounting |
| CN113094629A (en) * | 2021-04-13 | 2021-07-09 | 东北大学 | Rolling force setting method for asynchronous rolling of steel strip |
| CN113145653A (en) * | 2021-04-13 | 2021-07-23 | 东北大学 | Forward slip value calculation and rolling speed distribution method in asynchronous continuous rolling process of steel strip |
| CN114632826A (en) * | 2022-03-03 | 2022-06-17 | 东北大学 | Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip |
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| CN109840373A (en) * | 2019-01-24 | 2019-06-04 | 太原科技大学 | A method of thick steel plate is solved with the snakelike Calculating Rolling Force Energy Parameters of diameter friction speed |
| CN109885972A (en) * | 2019-03-22 | 2019-06-14 | 东北大学 | The deformation Division of cross-shear rolling strip and the calculation method of each subregion accounting |
| CN113094629A (en) * | 2021-04-13 | 2021-07-09 | 东北大学 | Rolling force setting method for asynchronous rolling of steel strip |
| CN113145653A (en) * | 2021-04-13 | 2021-07-23 | 东北大学 | Forward slip value calculation and rolling speed distribution method in asynchronous continuous rolling process of steel strip |
| CN113145653B (en) * | 2021-04-13 | 2022-10-04 | 东北大学 | Forward slip value calculation and rolling speed distribution method in asynchronous continuous rolling process of steel strip |
| CN113094629B (en) * | 2021-04-13 | 2023-08-04 | 东北大学 | Rolling force setting method for asynchronous rolling of steel strip |
| CN114632826A (en) * | 2022-03-03 | 2022-06-17 | 东北大学 | Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip |
| CN114632826B (en) * | 2022-03-03 | 2023-02-28 | 东北大学 | Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip |
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