CN113094629B - Rolling force setting method for asynchronous rolling of steel strip - Google Patents
Rolling force setting method for asynchronous rolling of steel strip Download PDFInfo
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- 238000005096 rolling process Methods 0.000 title claims abstract description 206
- 238000000034 method Methods 0.000 title claims abstract description 87
- 229910000831 Steel Inorganic materials 0.000 title claims abstract description 54
- 239000010959 steel Substances 0.000 title claims abstract description 54
- 238000004364 calculation method Methods 0.000 claims abstract description 38
- 230000007935 neutral effect Effects 0.000 claims description 17
- 239000013072 incoming material Substances 0.000 claims description 3
- 239000000463 material Substances 0.000 claims description 3
- 238000004519 manufacturing process Methods 0.000 abstract description 4
- 238000005097 cold rolling Methods 0.000 description 6
- 238000013178 mathematical model Methods 0.000 description 4
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 3
- 229910000617 Mangalloy Inorganic materials 0.000 description 3
- 238000004458 analytical method Methods 0.000 description 3
- 238000005098 hot rolling Methods 0.000 description 3
- 229910052751 metal Inorganic materials 0.000 description 3
- 239000002184 metal Substances 0.000 description 3
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 description 2
- 229910000861 Mg alloy Inorganic materials 0.000 description 2
- 229910000746 Structural steel Inorganic materials 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 2
- 229910052799 carbon Inorganic materials 0.000 description 2
- 239000011889 copper foil Substances 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 239000000126 substance Substances 0.000 description 2
- 229910052802 copper Inorganic materials 0.000 description 1
- 239000010949 copper Substances 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000005489 elastic deformation Effects 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- 238000005461 lubrication Methods 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
- 201000009240 nasopharyngitis Diseases 0.000 description 1
- 238000010008 shearing Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 230000003746 surface roughness Effects 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
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Abstract
The invention belongs to the technical field of rolling production, and particularly relates to a rolling force setting method for asynchronous rolling of a steel strip, which comprises the following steps: the deformation zone of the steel belt asynchronous rolling is divided into three parts, namely a rear sliding zone, a rubbing rolling zone and a front sliding zone from an inlet to an outlet. And dividing the contact arcs of the rear sliding region, the rubbing rolling region and the front sliding region into a plurality of micro units respectively, calculating the unit rolling pressure of each micro unit, and respectively adding the unit rolling pressures to obtain the calculated value of the rolling force. And (5) performing iterative calculation to enable the calculated rolling force value to be converged, and obtaining the set rolling force value in the asynchronous rolling process of the steel strip. The invention can be used for setting the rolling force parameters in the asynchronous rolling process under various conditions of different rolling linear speeds, different rolling diameters of the rollers, different friction coefficients of the rollers and the like, and the obtained rolling force set value and the actually measured rolling force error value are within 5 percent, so that the calculation accuracy is high.
Description
Technical Field
The invention belongs to the technical field of rolling production, and particularly relates to a rolling force setting method for asynchronous rolling of a steel strip.
Background
The rolling force is an important parameter in the rolling process of the steel strip, and the automatic system in the rolling process realizes the setting and control of the roll gap and the rolling speed in the rolling process according to the set value of the rolling force. The rolling force model precision directly influences the thickness precision and the plate shape quality of the steel belt, and is the basis of automatic control of the steel belt. In order to accurately set parameters in the process of asynchronous rolling of the steel strip, a mathematical rolling force model and a set value calculation method for asynchronous rolling of the steel strip are needed to be established.
The Chinese patent application No. 200710061415.X discloses a method for improving the wear resistance of wear-resistant high manganese steel by using asynchronous rolling. And rolling the high manganese steel rolled piece with optimized components on an asynchronous rolling mill to obtain the wear-resistant high manganese steel with high wear resistance and good mechanical property. But this method does not involve a mathematical model of the rolling force.
The Chinese patent application No. 97100092.1 discloses an asynchronous rolling method for rolling a thin metal plate by a common cold rolling mill. The upper and lower working rolls of the rolling mill are made into different roughness, so that an asymmetric friction state is formed between the metal plate and the upper and lower rolls, and the aim of asynchronous rolling is fulfilled. The method only gives the relation between the upper and lower neutral angle differences of the upper and lower working rolls and the roll surface roughness difference, and does not give a rolling force mathematical model.
The Chinese patent application No. 201810998030.4 discloses a continuous differential speed asynchronous rolling device and method for ultra-thin copper foil. The method firstly carries out reducing rolling on the copper strip through the upper supporting roller and the working roller, and then carries out different-speed rolling through the upper working roller and the lower working roller, thereby achieving the purpose of producing the ultrathin copper foil. The Chinese patent application No. 201220356233.8 discloses a continuous and asynchronous rolling device for magnesium alloy sheet coiled rolls. By means of equipment design, the purpose of continuously and asynchronously rolling the magnesium alloy sheet strip is achieved. However, the above two patents only show the equipment arrangement method of the asynchronous rolling mill, and no mathematical model of rolling force is given.
The Chinese patent application No. 200810011844.0 discloses a modeling method of a plate rolling on-line control model. The method models the rolling process by using a rigid-plastic finite element method, and calculates the rolling force energy control parameters. The Chinese patent application No. 201910288914.5 discloses a method for establishing a rolling force model of an ultra-thick plate. According to the method, the influence of temperature rise is introduced into the rolling force and deformation resistance model, so that the setting precision of the rolling force of the super-thick plate is effectively improved. The Chinese patent application No. 201610858577.5 discloses a method for forecasting the change of rolling force along with rolling speed in a cold rolling process. The method considers the influence of the rolling speed on the technological lubrication parameters and predicts the change condition of the rolling force in the process of increasing and decreasing in real time. The chinese patent application No. 200510027419.7 discloses a "method for improving the accuracy of hot rolling force setting". The method considers the influence of temperature on the deformation resistance of the material, and improves the setting precision of the rolling force. The rolling force mathematical models established in the above patents are all aimed at synchronous rolling, do not consider the influence of the shearing force of a deformation zone on the rolling force in asynchronous rolling, and are not suitable for setting and calculating the asynchronous rolling force.
In summary, none of the above patents relates to a method for calculating a rolling force set point for asynchronous rolling of a steel strip, and no report is made at present on a method for calculating a rolling force set point for asynchronous rolling of a steel strip.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a rolling force setting method in the asynchronous rolling process of a steel strip. The asynchronous rolling may be one in which the two work rolls have different roll radii, different friction coefficients, different roll line speeds, or a combination thereof. Under the condition that the linear speeds of the rollers are different, the roller with the higher linear speed is called a fast roller, and the roller with the higher linear speed is called a slow roller. Under the condition that the linear speeds of the rollers are the same, the roller with a smaller friction coefficient is used as a fast roller, and the roller with a smaller friction coefficient is used as a slow roller.
The rolling force model of the asynchronous rolling process established by the invention requires the following basic assumptions:
(1) The contact arc of the roller after elastic deformation is circular, and the roller radius (R f 、R s ) And roll crush radius (R' f 、R′ s ) The ratio is constant, i.e
(2) The width-thickness ratio of the steel strip is large, the rolling process can be performed by neglecting the expansion and performing the plane deformation treatment;
(3) The horizontal force is considered to be unevenly distributed along the height direction of the section, so the resultant force f of the horizontal force is used for replacing the horizontal force;
(4) The plastic deformation process follows the Mises yield criterion, i.e. σ 1 -σ 3 ＝1.155σ s ＝K，σ 1 Is waterFlat stress, sigma 3 Is vertical stress, sigma s K is the deformation resistance under the plane deformation condition;
(5) The coefficient of friction is constant over the arc of contact and obeys coulomb friction law. Considering that the friction conditions of the fast roller and the slow roller may be different, the ratio of friction coefficients is
In addition, the invention introduces the following simplified conditions in the analysis process:
(6) The radial compressive stress p of the roller is approximately equal to the vertical stress, i.e. p is approximately equal to-sigma 3 ；
(7) At any point of the contact arc
In the middle ofFor the radian value of the angle between this point and the roll centre line, +.>K is the deformation resistance at this point, which is the thickness of the strip at this point;
(8) Over the contact arc of the whole rolling deformation zoneIs very small, so there is->
As shown in FIG. 1, the upper roller is a fast roller, the lower roller is a slow roller, and the rolling deformation zone of the steel belt is divided into three parts on the contact arc of the upper roller, and a rear sliding zone, a rubbing rolling zone and a front sliding zone are sequentially arranged from an inlet to an outlet. On the contact arc of the steel belt and the deformation zone of the fast roller, the center line of the working roller is taken as a zero point, and the radian is 0 to gamma in the inlet direction f Part atThe contact arc is the contact arc of a forward sliding region, and the radian gamma f To gamma s Part of contact arc at the position is the contact arc of a rubbing area, and the radian gamma s The partial contact arc to alpha is the backsliding zone contact arc, where gamma f For the fast roll neutral angle, gamma s The neutral angle of the slow roller and the biting angle of the fast roller are denoted by radians.
It should be noted that in general, the neutral angles of the fast and slow rolls are as gamma in FIG. 1 in the practical sense f And gamma s And the rolling positions in the horizontal direction corresponding to the rolling positions mark the boundaries of the front sliding region, the rubbing rolling region and the rear sliding region. As shown in fig. 1, the actual slow roll neutral angle γ s The corresponding rolling position forms an included angle gamma with the center line of the roller on the contact arc of the fast roller s . For the same radius of the roller, gamma s With the actual slow roll neutral angle gamma s The' values are the same. However, in the present invention, there is also a case where two rolls are different in radius, in which case γ s And gamma is equal to s ' the values are not identical and have gamma s '＝rγ s Corresponding relation of (3). The "slow roll neutral angle" referred to in the calculation process of the present invention refers to γ in FIG. 1 s Rather than the slow roll neutral angle gamma in the actual sense s '。
As shown in fig. 1, a microcell dx is taken horizontally from the roll center line x,taking a front sliding region as an example, the radian value of the included angle between the micro-unit position and the central line of the roller on the contact arc of the deformation region and the upper roller is obtained by carrying out stress analysis along the horizontal direction:
where df is the change in the resultant force f in the horizontal direction at x per unit width, before and after the microcell. The direction of friction in other regions differs from the forward sliding region in the direction of friction, i.e., sign, is chosen.
From the geometric relationship and approximation (8) of FIG. 1, it is possible to obtain
Wherein R' is roll flattening radius, h x The thickness of the steel strip at dx is h i 、h o The entry thickness and the exit thickness of the steel strip are respectively, and alpha is the biting angle of the steel strip on the corresponding roller.
Where x is the horizontal distance from the roll centerline to the microcell, as can be seen inUnder very small conditions, an arc length approximately equal to the contact arc on the fast and slow rolls +.>At the same time there is-> For the corresponding microcell of the horizontal microcell dx on a certain roll contact arc, note that R' and +.>Are all related to the particular roll used, the same position x and the corresponding dx are +.>May be different.
For convenience of description, subscripts of parameters such as included angle, biting angle, friction coefficient and flattening radius of the fast roller are omitted in the followingα＝α f ，μ＝μ f And R '=r' f Using hypotheses (1) and (5), there are
Substituting the formula (2) and the formula (3) into the formula (1) and assuming that the unit rolling pressures (roll radial compressive stresses) of the upper and lower rolls are equalThe resultant of the two terms concerning friction in formula (1), i.e. the forward slide friction, is therefore:
after substitution, formula (1) can be written as the following formula (4):
from the assumption that condition (4) is available:
due to x andin fact is corresponding, so h x Can also be written->
Substituting the formula (5) into the formula (4) and using the simplified condition (7) can be obtained
Simultaneously aligning two sides of (6)The solution of the integral and unit rolling pressure differential equation is as follows:
in the method, in the process of the invention,
the integration constant C in equation (8) can be determined by boundary conditions of the front slip zone, the rubbing zone, and the rear slip zone.
Forward slide areaγ f For the neutral angle of the fast roller, the total force of friction force of the forward sliding region is
At the outletWith sigma 1 ＝σ o ,/>Obtainable according to formula (5)
p o ＝K o -σ o (9)
Wherein K is o Is the deformation resistance of the outlet side, p o Is the unit rolling pressure (vertical stress) of the outlet side, σ o Tension (horizontal stress) is the unit of exit. By substituting the formula (9) into the formula (7), the integral constant C corresponding to the forward sliding region can be obtained, and the unit rolling pressure p of a certain point of the forward sliding region can be obtained I Is that
(II) rear sliding regionResultant force of the friction force in the posterior sliding region +.>
At the entranceWith sigma 1 ＝σ i Obtainable according to formula (5)
p i ＝K i -σ i (11)
Wherein K is i Is the inlet side deformation resistance, p i Is the unit rolling pressure of the inlet side, sigma i Tension is the unit of entry. By substituting the formula (11) into the formula (7), the unit rolling pressure at a certain point in the backward sliding region is obtained
In the method, in the process of the invention,
(III) rubbing and rolling zoneResultant force of friction force of rubbing and rolling area +.>
Due to the continuity of the boundary conditions, the unit rolling pressure is atWhere the positions are equal, i.e.,
in the method, in the process of the invention,is a neutral angle gamma f Steel strip thickness at the location.
The unit rolling pressure of a certain point of the finishing and available rubbing and rolling area is
In the method, in the process of the invention,
in the same way, the unit rolling pressure is thatThe positions are still equal, so that the unit rolling pressure at a certain point of the rubbing and rolling area can be expressed as
In the middle of
The neutral angle parameter gamma is determined as follows f And gamma s . At any point x of the rubbing and rolling area (the included angle between the contact arc of the fast roller and the central line of the roller is ) The unit rolling pressures calculated from formulas (15) and (17) are equal, that is:
simplified into
The metal satisfies the principle of equal flow per second at any point in the deformation zone, and the relationship between the neutral angles of the fast roller and the slow roller can be expressed as:
wherein m is an iso-speed ratio, v f And v s The roll line speeds of the fast roll and the slow roll, respectively. The thickness of the steel strip at the neutral angle of the fast roller and the slow roller respectively.
By combining formula (20) with formula (19), it can be seen that gamma is involved f And gamma s Two unknowns and two equations, gamma can be solved f And gamma s For example, the value of (2) can be obtained by a dichotomy.
In particular, when the friction conditions of the fast roller and the slow roller are the same, i.e., z=1.0, the unit rolling pressure of the three regions can be simplified as:
a calculated expression of the neutral angle of the fast and slow rolls can be obtained:
in the method, in the process of the invention,
to this end, for an asynchronous rolling process, the total rolling force F of the asynchronous rolling can be expressed as:
in the actual process of asynchronous rolling, most of the parameters of the above calculation process (e.g. the inlet and outlet thickness h of the strip i 、h o The width B of the steel belt, the different speed ratio m and the friction coefficient mu of the working roll s 、μ f Roller diameter R of working roller s 、R f Unit tension sigma of steel strip inlet and outlet i 、σ 0 Etc.) can be determined by the actual condition of rolling, and the deformation resistance K at a certain point x of a contact arc in the asynchronous rolling process of the steel strip x The following formula can be used for calculation:
wherein h is x The thickness of the steel strip at the point x is h init For the thickness of the steel strip incoming material, K m In order to consider deformation resistance reference constants of material characteristics, epsilon and n are deformation resistance model parameters, the formula is a mature formula in the prior art, the parameters can be obtained through regression experiments and other modes, and the obtaining methods are all the prior art. K (K) i K is resistance to deformation at the inlet 0 For the deformation resistance of the outlet, respectively adopt h i 、h o Substituting the calculated values into the above formula.
For the convenience of calculation, discretization may be performed on the entire rolling deformation region, and a specific calculation process will be described, and a flowchart of the calculation method is shown in fig. 2.
S1: initializing rolling parameters:
the initialization parameters mainly comprise: width B of steel strip, thickness h of steel strip incoming material init Thickness h of steel strip inlet i Thickness h of steel strip outlet o Modulus of elasticity E of steel strip s Modulus of elasticity E of work roll wr Different speed ratio m, inlet unit tension sigma i Outlet unit tension sigma o Coefficient of friction mu of fast roller f Mu, slow rollerCoefficient of friction mu s Ratio of friction coefficientQuick roll work roll radius (initial flattening radius value) R f ＝R(R′ f R', slow roll work roll radius (initial flattening radius value) R s (R′ s ) Ratio of radius->(the initial value of the fast roll flattening radius may be approximately equal to R f I.e. R' =r f ＝R)；
S2: calculating the neutral angle gamma corresponding to the fast roller and the slow roller in the current iterative calculation process f And gamma s ：
The equation (19) and the equation (20) are solved by the dichotomy. (or directly from equation (22) when z=1.0). R' adopted in the solving process is the fast rolling flattening radius adopted in the current iterative calculation process and is also used in the steps S3-S8 of the current iterative calculation process;
s3: dividing the microcells, and calculating geometric parameters and deformation resistance of each microcell:
the whole deformation zone is divided into N (preferably N is more than or equal to 20) micro units, and the serial numbers j of the micro units are 0-N-1 from the outlet to the inlet of the deformation zone. On the fast roll contact arc, each microcell width (expressed in radians) is:
the angle (expressed in radian, which is the included angle between the position of the microcell on the contact arc and the center line of the roller) corresponding to the jth microcell is:
the steel strip thickness of the j-th microcell is:
the deformation resistance of the j-th microcell is:
s4: judging the position of a deformation zone where each microcell is located:
if it isThe j-th micro unit is positioned in the forward sliding region, and all the micro unit data positioned in the forward sliding region are substituted into the step S5 to be added, and the rolling force sigma p of the unit width of the forward sliding region is calculated I The method comprises the steps of carrying out a first treatment on the surface of the If->The j-th micro unit is positioned in the rear sliding area, all the micro unit data positioned in the rear sliding area are substituted into the step S6 to be added, and the rolling force sigma p of the unit width of the rear sliding area is calculated III The method comprises the steps of carrying out a first treatment on the surface of the If->The j-th micro unit is positioned in the rubbing area, the data of all the micro units positioned in the rubbing area are substituted into the step S7 for summation, and the rolling force p of the rubbing area in unit width is calculated II ；
S5: calculating the rolling force of the unit width of the forward sliding region:
in the middle ofResistance to deformation at the outlet>
S6: calculating the rolling force of the unit width of the rear sliding region:
resistance to deformation at mid-inlet
S7: the rolling force per unit width of the rubbing zone is calculated according to one of the following two formulas:
or (b)
S8: obtaining a current total rolling force calculated value:
F＝B(∑p I +∑p II +∑p III )；
s9: recalculating a fast roll flattening radius R':
in the method, in the process of the invention,v is poisson ratio, 0.3 is taken, and F is the total rolling force calculated value obtained in the step S8 of the current iterative calculation process;
s10: judging iteration termination conditions:
judging whether the current iterative calculation process meets the iteration termination condition, if so, ending the calculation, wherein the total rolling force calculated value F obtained in the step S8 of the current iterative calculation process is the final value and is used as the rolling force set value of the calculated steel strip asynchronous rolling process; if the iteration termination condition is not met, replacing the fast roll flattening radius R' obtained by recalculation in the step S9 of the current iteration calculation process with the step S2 to carry out the next iteration calculation;
the iteration termination condition is that
Wherein R 'is the fast-rolling flattening radius obtained by recalculating in the step S9 of the current iterative calculation process, and R' is the fast-rolling flattening radius obtained in the step S9 of the last iterative calculation process, namely the fast-rolling flattening radius used in the steps S2-S8 of the current iterative calculation process; for the first iterative calculation process, as described in step S1, R' is an initial value R; epsilon R For convergence accuracy, convergence accuracy ε R It is preferably 10 or less -3 。
For the asynchronous continuous rolling process, the method can be used for calculating the set value of the rolling force in the asynchronous rolling process of a certain rolling pass.
The invention has the beneficial effects that: the invention provides a rolling force theoretical calculation formula in an asynchronous rolling process and a numerical calculation method. The method can be used for setting rolling force parameters in the asynchronous rolling process of different roller linear speeds, different roller diameters, different roller friction coefficients and the like, and is beneficial to the implementation of each specific asynchronous rolling process. The calculation accuracy is high, and the error value of the actually measured rolling force is within 5%.
Drawings
Fig. 1: and (3) dividing a rolling deformation zone of the steel belt and analyzing a stress analysis schematic diagram of a micro unit of a forward sliding zone.
Fig. 2: the flow diagram of the iterative calculation method of the rolling force in the steel strip asynchronous rolling process adopted in the invention.
Detailed Description
Example 1
Taking 2150mm five-frame six-roller cold continuous rolling unit as an example, the maximum rolling force of the unit is 32MN, wherein the working roller diameter of the unit is 430-570 mm, the middle roller diameter is 580-650 mm and the supporting roller diameter is 1325-1485 mm. Different speed ratios m of each rolling pass of DP780 steel,Thickness before rolling (i.e. rolled strip inlet thickness/thickness before rolling h) i ) Post-rolling thickness (i.e. rolled strip exit thickness/post-rolling thickness h) o ) The rolling force calculated using the method of the present invention and the measured rolling force are shown in table 1.
TABLE 1 example 1 different speed ratio, thickness before rolling, thickness after rolling, calculated rolling force and measured rolling force
As shown in Table 1, the error between the DP780 steel asynchronous cold rolling force calculated by the method and the actually measured asynchronous cold rolling force is within 5%, and the accuracy is high.
Example 2
Taking 2150mm five-frame six-roller cold continuous rolling unit as an example, the maximum rolling force of the unit is 32MN, wherein the working roller diameter of the unit is 430-570 mm, the middle roller diameter is 580-650 mm and the supporting roller diameter is 1325-1485 mm. The rolling pass differential speed ratio, the pre-rolling thickness, the post-rolling thickness, the rolling force calculated using the method of the present invention and the measured rolling force of the QP980 steel are shown in Table 2.
TABLE 2 example 2 different speed ratio, thickness before rolling, thickness after rolling, calculated rolling force and measured rolling force
| First pass | Second pass of | Third time | Fourth pass of | Fifth pass of | |
| Different speed ratio | 1.3 | 0.77 | 1.3 | 0.77 | 1 |
| Thickness before/after rolling, mm | 3.5/2.4 | 2.4/1.7 | 1.7/1.0 | 1.0/0.7 | 0.7/0.65 |
| Calculating rolling force, MN | 15.67 | 16.85 | 16.96 | 17.13 | 6 |
| Actually measured rolling force, MN | 15.35 | 16.24 | 17.56 | 16.22 | 6.2 |
As can be seen from Table 2, the error between the calculated QP980 steel asynchronous cold rolling force and the actually measured asynchronous cold rolling force is within 5%, and the precision is high.
Example 3
Taking 2150mm seven-frame four-roller hot continuous rolling unit as an example, the working roller diameter of the unit is 570-750 mm, the supporting roller diameter is 1300-1450 mm, and the maximum rolling force of the unit is 32MN. The carbon structural steel (chemical components in percentage by weight (less than or equal to,%) are C0.20, si 0.30, mn 0.65, P0.045 and S0.04), the different speed ratios of each rolling pass, the thickness before rolling, the thickness after rolling, the rolling force calculated by the method and the actual measured rolling force are shown in Table 3.
TABLE 3 example 3 different speed ratio, thickness before rolling, thickness after rolling, calculated rolling force and measured rolling force
As can be seen from Table 3, the error between the asynchronous hot rolling force of the carbon structural steel calculated by the method and the actually measured asynchronous hot rolling force is within 5%, and the precision is high.
Example 4
Taking 2150mm seven-frame four-roller hot continuous rolling unit as an example, the working roller diameter of the unit is 570-750 mm, the supporting roller diameter is 1300-1450 mm, and the maximum rolling force of the unit is 32MN. The hot rolled steel for pipe production (chemical composition in weight percent (less than or equal to,%) is C:0.10, si:0.35, mn:0.50, P:0.04, S: 0.040) each rolling pass different speed ratio, thickness before rolling, thickness after rolling, rolling force calculated using the method of the present invention and measured rolling force are shown in Table 4.
TABLE 4 example 4 different speed ratio, thickness before rolling, thickness after rolling, calculated rolling force and measured rolling force
As is clear from Table 4, the hot-rolled steel strip for pipe production calculated by the present invention has an error of 5% or less between the asynchronous hot-rolled force and the actual asynchronous hot-rolled force, and has high accuracy.
Claims (4)
1. The rolling force setting method for asynchronous rolling of the steel strip is characterized by comprising the following steps of:
s1: parameter initialization:
initializing parameters of an asynchronous rolling process, wherein the initialization parameters comprise:
the initialization parameters include: width B of steel strip, thickness h of steel strip incoming material init Thickness h of steel strip inlet i Thickness h of steel strip outlet o Modulus of elasticity E of steel strip s Modulus of elasticity E of work roll wr Different speed ratio m of working roller and inlet unit tension sigma i Outlet unit tension sigma o Coefficient of friction mu of fast roller f Coefficient of friction of slow roller μ =μ s Ratio of friction coefficient of fast and slow rollersFast roller radius R f =r, slow roll radius R s Ratio of radius->The initial value of the fast roll flattening radius R' is equal to the fast roll radius R;
s2: the following two formulas are combined to calculate the neutral angle gamma of the fast roller in the current iterative calculation process f And slow roll neutral angle gamma s ：
K in the formula i As resistance to deformation at the inlet,K 0 is deformation resistance at the outlet>Wherein K is m For the deformation constants concerning the material properties of the steel strip, epsilon, n are deformation resistance model parameters,
alpha is the biting angle of the deformation zone of the steel belt on the fast roller, and is calculated according to the following formula:
wherein R' is the fast roll flattening radius adopted in the current iterative calculation process and is also used in the steps S3-S8 of the current iterative calculation process;
s3: dividing the microcells, and calculating geometric parameters and deformation resistance of each microcell:
dividing the whole deformation area into N micro units, wherein the serial numbers j of the micro units are 0-N-1 from the outlet to the inlet of the deformation area, and on a fast roller contact arc, the width of each micro unit is expressed as follows:
the radian corresponding to the j-th micro unit is as follows:
the steel strip thickness of the j-th microcell is:
the deformation resistance of the j-th microcell is:
s4: judging the position of a deformation zone where each microcell is located:
if it isThe j-th micro unit is positioned in the forward sliding region, and all the micro unit data positioned in the forward sliding region are substituted into the step S5 to be added, and the rolling force sigma p of the unit width of the forward sliding region is calculated I The method comprises the steps of carrying out a first treatment on the surface of the If->The j-th micro unit is positioned in the rear sliding area, all the micro unit data positioned in the rear sliding area are substituted into the step S6 to be added, and the rolling force sigma p of the unit width of the rear sliding area is calculated III The method comprises the steps of carrying out a first treatment on the surface of the If->The j-th micro unit is positioned in the rubbing area, the data of all the micro units positioned in the rubbing area are substituted into the step S7 for summation, and the rolling force p of the rubbing area in unit width is calculated II ；
S5: calculating the rolling force of the unit width of the forward sliding region:
in the middle of
S6: calculating the rolling force of the unit width of the rear sliding region:
s7: the rolling force per unit width of the rubbing zone is calculated according to one of the following two formulas:
or (b)
S8: obtaining a current total rolling force calculated value:
F＝B(∑p I +∑p II +∑p III )；
s9: recalculating a fast roll flattening radius R':
in the method, in the process of the invention,v is poisson ratio, 0.3 is taken, and F is the total rolling force calculated value obtained in the step S8 of the current iterative calculation process;
s10: judging iteration termination conditions:
judging whether the current iterative calculation process meets the iteration termination condition, if so, ending the calculation, wherein the total rolling force calculated value F obtained in the step S8 of the current iterative calculation process is the final value and is used as the rolling force set value of the calculated steel strip asynchronous rolling process; if the iteration termination condition is not met, replacing the fast roll flattening radius R' obtained by recalculation in the step S9 of the current iteration calculation process with the step S2 to carry out the next iteration calculation;
the iteration termination condition is that
Wherein R 'is the fast-rolling flattening radius obtained by recalculating in the step S9 of the current iterative calculation process, and R' is the fast-rolling flattening obtained in the step S9 of the last iterative calculation processRadius, R' is the initial value R for the first iterative calculation process; epsilon R Is convergence accuracy.
2. The method for setting rolling force of asynchronous rolling of steel strip according to claim 1, wherein the value of the micro-element division number N in the step S3 is 20 or more.
3. The method for setting rolling force of asynchronous rolling of steel strip according to claim 1, wherein the convergence accuracy ε R The value is less than or equal to 10 -3 。
4. The method according to claim 1, wherein in the step S2, when the ratio of the friction coefficients of the fast and slow rolls, z, is not equal to 1, gamma is obtained by a dichotomy f And gamma s The method comprises the steps of carrying out a first treatment on the surface of the When z=1, γ f And gamma s Calculated as follows:
in the method, in the process of the invention,
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| CN111069285A (en) * | 2019-11-18 | 2020-04-28 | 东北大学 | Asynchronous hot continuous rolling method for preparing hot-rolled extremely-thin steel strip |
| CN112131528A (en) * | 2020-09-10 | 2020-12-25 | 东北大学 | Tension distribution setting method for steel strip in asynchronous cold continuous rolling process |
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| CN111069285A (en) * | 2019-11-18 | 2020-04-28 | 东北大学 | Asynchronous hot continuous rolling method for preparing hot-rolled extremely-thin steel strip |
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