CN114632826A - Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip - Google Patents

Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip Download PDF

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CN114632826A
CN114632826A CN202210207237.1A CN202210207237A CN114632826A CN 114632826 A CN114632826 A CN 114632826A CN 202210207237 A CN202210207237 A CN 202210207237A CN 114632826 A CN114632826 A CN 114632826A
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rolling
asynchronous
steel strip
force
moment
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CN114632826B (en
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李长生
冯平杰
王煜
彭良贵
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Northeastern University China
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
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    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
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Abstract

The invention belongs to the technical field of rolling production, and particularly relates to a method for setting rolling force and rolling moment of asynchronous rolling of a hot-rolled steel strip. The method comprises the following steps: s1: setting parameters; s2: determining the neutral angle gamma of the fast rollfAnd slow roll neutral angle gammas(ii) a S3: obtaining a calculated value of the total asynchronous rolling force F; s4: obtaining a calculated value of the total rolling moment T of the asynchronous rolling; s5: and setting the final calculated values of the total asynchronous rolling force F and the total rolling moment T for the rolling force and the rolling moment of the asynchronous rolling of the hot rolled steel strip. The invention provides a method for setting and calculating rolling force and rolling moment in an asynchronous rolling process of a hot-rolled steel strip. The method can be used for setting the rolling parameters in the asynchronous hot rolling process under various conditions of different linear speeds of the rollers, different diameters of the rollers and the like, and has high calculation precision.

Description

Method for setting rolling force and rolling moment of asynchronous rolling of hot rolled steel strip
Technical Field
The invention belongs to the technical field of rolling production, and particularly relates to a method for setting rolling force and rolling moment of asynchronous rolling of a hot-rolled steel strip.
Background
The asynchronous rolling is a new technology which effectively reduces rolling pressure, reduces rolling passes and improves efficiency. The method mainly comprises three asymmetric rolling forms: the diameters of the upper and lower rollers are unequal, the speeds of the upper and lower rollers are unequal, and the friction between the upper and lower rollers and the surface of a rolled piece is unequal. In the asynchronous rolling, neutral points of an arc contacted by an upper roller and a lower roller are deviated towards two sides, a rubbing rolling effect is formed in a deformation area between the two neutral points, and strong additional shearing deformation is generated, so that the plastic flow of metal is accelerated.
The Chinese patent with application number of 201911124336.8 discloses an asynchronous hot continuous rolling method for preparing a hot-rolled ultrathin steel strip, which realizes the rolling production of the hot-rolled steel strip with the ultrathin specification of 0.6mm by adopting different asynchronous rolling modes on a hot continuous rolling unit with 5-7 frames.
The Chinese patent with application number of 201911123929.2 discloses an asynchronous cold continuous rolling method for preparing a cold-rolled ultrathin steel strip, which adopts different asynchronous rolling modes on a 5-frame cold continuous rolling unit to realize the rolling production of the cold-rolled steel strip with the ultrathin specification of 0.09 mm.
The Chinese patent with application number 202110393259.7 discloses a rolling force setting method for asynchronous rolling of steel strips. The patent assumes that the contact friction between the upper and lower working rolls and the strip steel conforms to the Coulomb friction law, and assumes that the roll diameters of the upper and lower working rolls are different and the speeds of the upper and lower working rolls are different. And giving a neutral angle formula of the fast roller and the slow roller, and respectively calculating the rolling force of the front sliding area, the rolling area and the rear sliding area.
In the above-mentioned patent of invention for asynchronous hot continuous rolling and asynchronous cold continuous rolling of extremely thin steel strip, the assumption of coulomb friction condition and plastic condition of uniform compression is adopted. For the cold rolling process, this assumption does not cause a large rolling force calculation error. However, in the hot rolling process, since the rolling stock and the roll are in a stuck state by contact friction, if the above assumption is adopted, a large error occurs in the calculation of the rolling force.
The invention provides a method for calculating rolling force and rolling moment in an asynchronous hot continuous rolling process by adopting a plastic condition hypothesis of a full adhesion friction condition and uneven compression.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a method for setting the rolling force and the rolling moment in the asynchronous rolling process of a hot rolled steel strip. The asynchronous rolling can be the asynchronous rolling of the two working rolls with different roll radiuses and different roll linear speeds or the combination of the two working rolls. 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.
The rolling force model of the asynchronous rolling process established by the invention needs the following basic assumptions:
(1) the contact arc of the elastically deformed roll is circular, and the roll radius (R) of the fast roll (the parameters related to the fast roll in the invention are all represented by f subscript) and the roll radius (R) of the slow roll (the parameters related to the slow roll in the invention are all represented by s subscript) are respectivelyf、Rs) And roller flattening radius (R'f、R′s) The ratio of (A) to (B) is constant, i.e.
Figure BDA0003529639630000021
(2) The width-thickness ratio of the steel strip is large, the width can be ignored during rolling, and the steel strip is deformed according to a plane;
(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) adopting the assumption of full adhesion friction, the friction stress of the fast roller and the slow roller is tauf＝τs＝k；
The following approximate conditions were also used:
(5) radian of contact arc of whole rolling deformation zone
Figure BDA0003529639630000022
Are all small, so for any point in the whole rolling deformation zone, there is
Figure BDA0003529639630000023
As shown in figure 1, the upper roll is a fast roll, the lower roll is a slow roll, the rolling deformation zone of the steel strip is divided into three parts on the contact arc of the upper roll, and the three parts are a rear sliding zone, a rolling zone and a front sliding zone from an inlet to an outlet. On the contact arc of the steel strip and the deformation zone of the fast rollThe central line of the roller is taken as a zero point, and the radian is 0 to gamma in the inlet directionfThe partial contact arc is the contact arc of the front sliding area and the radian gammaf～γsPart of contact arc is contact arc of rubbing area, radian gammasThe partial contact arc at α is the contact arc of the back sliding zone, where γfIs the neutral angle of the fast roller, gammasIs the neutral angle of the slow roll, alpha is the bite angle of the fast roll, and are all expressed in radians.
As shown in FIG. 1, a coordinate system is established with the center line of the roller as the y-axis and the rolling direction as the x-axis, a microcell dx is taken at the position x away from the center line of the roller in the horizontal direction,
Figure BDA0003529639630000024
and (3) carrying out stress analysis along the horizontal direction to obtain the arc value of an included angle between the micro-unit position on the contact arc of the deformation area and the upper roller and the central line of the roller (the arc value of the point contact arc for short):
Figure BDA0003529639630000025
where df is the change in the resultant force f in the horizontal direction at x in the unit width, back and forth of the microcell. k is yield shear stress, namely the friction stress of the fast roller and the slow roller at the microcell under the full-adhesion friction condition, and 2k is the deformation resistance at the microcell.
The direction of the friction force of the different deformation zones differs, as expressed by the sign of the expression (1) before the last term 2kdx of the expression (1): the front sliding area is positive, the rear sliding area is negative, and the last item in the rubbing rolling area formula (1) is directly 0.
From the geometric relationships and approximation (5) of FIG. 1, one can derive
Figure BDA0003529639630000031
Wherein R' is the flattening radius of the roller,
Figure BDA0003529639630000032
is dThickness of steel strip at x, hi、hoRespectively the inlet thickness and the outlet thickness of the steel strip, and alpha is the biting angle of the steel strip on the corresponding roller.
For convenience of description, subscripts of parameters such as contact arc radian, biting angle, friction coefficient and flattening radius of a certain point of the fast roll are omitted, namely, the subscripts are directly used
Figure BDA0003529639630000033
α＝αfAnd R ═ R'fFor slow roll, these parameters are related to fast roll, specifically
Figure BDA0003529639630000034
The expressions (2) and (3) are substituted in the formula (1), and the unit rolling pressures (i.e., the rolling radial compressive stresses p) of the upper and lower rolls are considered to be equal
Figure BDA0003529639630000035
Then:
Figure BDA0003529639630000036
according to the Orowan plasticity condition at full adhesion
Figure BDA0003529639630000037
By substituting formula (5) for formula (4)
Figure BDA0003529639630000038
The frictional stress k at the microcell is constant, the above formula can be rewritten as
Figure BDA0003529639630000039
Wherein, the last term of the equation is that the front sliding area is taken, the back sliding area is taken, and the rolling area is zero.
The two sides of the formula (7) are simultaneously paired
Figure BDA00035296396300000310
Integral, the solution of the differential equation for unit rolling pressure is:
Figure BDA00035296396300000311
in the formula (I), the compound is shown in the specification,
Figure BDA0003529639630000041
the integral constant C in the equation (8) may be determined by boundary conditions of the forward slip region, the rolling region, and the backward slip region.
(I) Front sliding area
Figure BDA0003529639630000042
γfIs the fast roll neutral angle.
At the outlet
Figure BDA0003529639630000043
With f being-hoσo,
Figure BDA0003529639630000044
According to the formula (5), a
Figure BDA0003529639630000045
In the formula, 2koIs the resistance to deformation on the outlet side, poIs the unit rolling pressure (vertical stress) on the outlet side, σoIs the outlet unit tension (horizontal stress). The formula (9) is substituted for the formula (8), and the integral constant C corresponding to the front sliding zone can be obtained, so that the unit rolling pressure p of the front sliding zone can be obtainedIIs composed of
Figure BDA0003529639630000046
(II) Backward slip region
Figure BDA0003529639630000047
γsIs the slow roll neutral angle.
At the inlet
Figure BDA0003529639630000048
With f being-hiσiAccording to formula (5), a
Figure BDA0003529639630000049
In the formula, 2kiIs the resistance to deformation on the inlet side, piIs the unit rolling pressure, σ, of the inlet sideiIs the unit tension of the inlet. Formula (11) is substituted for formula (8) and the unit rolling pressure of the after-run zone can be obtained as
Figure BDA00035296396300000410
In the formula (I), the compound is shown in the specification,
Figure BDA00035296396300000411
(III) a rolling zone
Figure BDA00035296396300000412
Due to the continuity of the boundary conditions, the unit rolling pressure is
Figure BDA00035296396300000413
The number of points is equal, that is,
Figure BDA00035296396300000414
in the formula (I), the compound is shown in the specification,
Figure BDA00035296396300000415
is a neutral angle gammafThe thickness of the steel strip at the point.
The unit rolling pressure of the rolling area obtained by finishing is
Figure BDA0003529639630000051
In the formula (I), the compound is shown in the specification,
Figure BDA0003529639630000052
in the same way, the unit rolling pressure is
Figure BDA0003529639630000053
The rolling pressure per unit area is also expressed as
Figure BDA0003529639630000054
In the formula (I), the compound is shown in the specification,
Figure BDA0003529639630000055
it can be seen that in order to achieve the above calculation of the unit rolling pressure, the neutral angle parameter γ also needs to be determinedfAnd gammas. At any point x in the rolling area (the radian of the included angle between the contact arc of the fast roll and the central line of the roll is
Figure BDA0003529639630000056
) The unit rolling pressures calculated from equations (14) and (15) are equal, that is:
Figure BDA0003529639630000057
simplified to
Figure BDA0003529639630000058
The metal satisfies the principle of equal second flow at any point in the deformation zone, and the relationship between the neutral angles of the fast and slow rolls can be expressed as:
Figure BDA0003529639630000059
wherein m is the differential velocity ratio, vfAnd vsThe roll linear speeds of the fast roll and the slow roll are respectively.
Figure BDA00035296396300000510
The thicknesses of the steel strips at the neutral angles of the fast roller and the slow roller are respectively.
The joint formula (17) and the formula (18) can obtain a calculation expression of the neutral angles of the fast roller and the slow roller:
Figure BDA00035296396300000511
in the formula (I), the compound is shown in the specification,
Figure BDA0003529639630000061
in the asynchronous rolling process, the total rolling force F of the asynchronous rolling can be expressed as the sum of the total rolling forces of the front sliding area, the rolling area and the rear sliding area, and the integral calculation of the unit rolling pressure is performed in sections:
Figure BDA0003529639630000062
rolling moment T of the fast and slow rollsfAnd TsRespectively as follows:
Figure BDA0003529639630000063
Figure BDA0003529639630000064
the total rolling moment T is:
Figure BDA0003529639630000065
in the formula, it is obvious
Figure BDA0003529639630000066
The integral operation of (A) is also carried out by three sections of a front sliding area, a rolling area and a rear sliding area, namely
Figure BDA0003529639630000067
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、hoWidth of steel strip B, different speed ratio m, coefficient of friction of work roll mus、μfDiameter R of work rolls、RfUnit tension sigma of steel strip inlet and outleti、σ0Etc.) can be determined by the actual rolling condition, and the deformation resistance 2k at a certain point x of a contact arc in the asynchronous rolling process of the steel strip can be calculated by the following formula:
Figure BDA0003529639630000068
wherein, sigma is initial deformation resistance, MPa; ε is the true strain at point x, i.e., ln (h/h)int) H is the thickness of the steel strip at the point, and can be calculated according to the radian of the contact arc at the point by the formula (3), hintThe thickness of the incoming material of the steel strip;
Figure BDA0003529639630000069
is the rolling speed, m/s; t is the rolling temperature, DEG C; b0～b4Is the undetermined coefficient. The initial deformation resistance and undetermined coefficient are constants according to specific rolling process and steel strip types and can be obtained through an experimental mode. It can be seen that the contact of formula (24) isArc degree
Figure BDA00035296396300000610
A function of the correlation. Resistance to deformation 2k on the inlet sideiResistance to deformation at outlet 2koThe inlet and outlet thicknesses h of the steel strip can be respectively adjustedi、hoAnd substituting to calculate.
Another key parameter in the above calculation is the roll flattening radius R' of the fast rolls. The mutual coupling relation exists between the rolling force and the flattening radius of the roller, so that a more accurate mode is to numerically solve the rolling force in an iteration mode and recalculate the flattening radius until the relative error of the two flattening radii before and after meets a certain precision requirement, and the iteration can be stopped. The iterative calculation flow of the rolling force model is shown in fig. 2.
The iteration convergence condition is as follows:
Figure BDA0003529639630000071
in the formula, R0' calculating value of the flattening radius at this time, mm; r' is a calculated value of the last flattening radius, namely the value of the flattening radius used in the calculation, namely mm; epsilonRFor iterative calculation accuracy, 10 is generally taken-3Can meet the requirement, and can be not more than 10-3The numerical value of (c). Meanwhile, in order to prevent the calculation from falling into an infinite iteration loop, a maximum number of iteration loops, such as 5, may be given to guarantee the model calculation time.
For the asynchronous hot continuous rolling process, the method can be used for calculating the setting calculation of the hot rolling force of a certain rolling pass.
The overall idea and derivation process of the calculation of the present invention are described above, and the following description is made for the specific steps of the present invention, and the method of the present invention includes the following basic steps:
s1: setting parameters:
setting parameters of the asynchronous rolling process, wherein the parameters comprise:
width B of steel strip and incoming thickness h of steel stripinitThickness h of steel strip entranceiOutlet thickness h of steel stripoModulus of elasticity E of steel stripsModulus of elasticity E of work rollwrDifferential speed ratio m of work rolls, inlet unit tension σiOutlet unit tension σoRadius of the fast roll RfR, slow roll radius RsRatio of radius of fast and slow rolls
Figure BDA0003529639630000072
Rolling rate
Figure BDA0003529639630000073
The rolling temperature t;
s2: determining the neutral angle gamma of the fast rollfAnd the neutral angle gamma of the slow rolls(ii) a Specifically, it can be calculated by the method in the above formula (19);
s3: obtaining a calculated value of the total asynchronous rolling force F:
Figure BDA0003529639630000074
wherein R' is the flattening radius of the fast roll, pI、pII、pIIIThe unit rolling pressures of the front sliding area, the rolling area and the rear sliding area are respectively;
for a fast roll contact arc of
Figure BDA0003529639630000075
The position of (2):
Figure BDA0003529639630000081
pIIthe calculation is performed using one of the following two equations:
Figure BDA0003529639630000082
or
Figure BDA00035296396300000811
Wherein:
Figure BDA0003529639630000083
the arc of contact of the fast roller is
Figure BDA0003529639630000084
The thickness of the steel strip at the position (b) is calculated using the following formula:
Figure BDA0003529639630000085
2k is the arc of contact of the fast roll is
Figure BDA0003529639630000086
Resistance to deformation of the position of (2 k)oFor resistance to deformation on the outlet side of asynchronous rolling, 2kiIs the deformation resistance of the asynchronous rolling inlet side; can be calculated by the above formula (24);
Figure BDA0003529639630000087
Figure BDA0003529639630000088
alpha is the biting angle of the steel strip deformation zone on the fast roll, and is calculated according to the following formula:
Figure BDA0003529639630000089
s4: obtaining a calculated value of the total rolling moment T of the asynchronous rolling:
Figure BDA00035296396300000810
s5: and setting the final calculated values of the total asynchronous rolling force F and the total rolling moment T for the rolling force and the rolling moment of the asynchronous rolling of the hot rolled steel strip.
In order to make the calculation result more accurate, the flattening radius needs to be coupled with the rolling force, and specifically, an iterative calculation method can be adopted, and the flow is shown in fig. 2:
recalculating the fast rolling flat radius R 'from the current F value after calculating the current calculated values of F and T from the steps S2 to S4 using the current fast rolling flat radius R'oAnd judging whether the current iterative calculation process meets the iterative convergence condition: if the iteration convergence condition is met, the calculation is finished, and the calculated values F and T obtained in the steps S3 and S4 of the current iteration calculation process are final values, and are used in the step S5; if the iterative convergence condition is not met, recalculating the current obtained flattening radius R'oIterate back to step S2 for the next iteration as the new fast roll flattening radius R'.
The initial value of the fast rolling flat radius R', namely the roll radius R can be directly adopted as the fast rolling flat radius in the first calculation. The iterative convergence condition is
Figure BDA0003529639630000091
εRFor iterative calculation accuracy, take not more than 10-3The numerical value of (c).
The re-calculation of the crush radius R 'according to the current F value'oOne method of (2) is as follows:
Figure BDA0003529639630000092
in the formula (I), the compound is shown in the specification,
Figure BDA0003529639630000093
Ewris the modulus of elasticity, upsilon, of the rollsFor Poisson's ratio, 0.3 may be used.
The invention has the beneficial effects that: the invention provides a method for setting and calculating rolling force and rolling moment in an asynchronous rolling process of a hot-rolled steel strip. The method can be used for setting the rolling parameters in the asynchronous hot rolling process under various conditions of different linear speeds of the rollers, different diameters of the rollers and the like. The calculation precision is high, and the error value of the calculated rolling force and the actually measured rolling force is within 10 percent.
Drawings
FIG. 1: and the steel strip rolling deformation zone is divided and the force analysis of the micro-units is shown.
FIG. 2: the flow schematic diagram of the iterative calculation method of the rolling force and the rolling moment in the asynchronous rolling process of the steel strip.
Detailed Description
Example 1
Taking a five-rack four-roller hot continuous rolling unit as an example, the diameter of a working roller of the unit is 600-750 mm, and the maximum rolling force of the unit is 32 MN. The initial thickness of the hot-rolled steel strip is 35mm, the width is 1001mm, and the chemical components in percentage by weight (less than or equal to percent) are as follows: c: 0.18, Si: 0.18, Mn: 0.68, Cr: 0.02, Nb: 0.006, Mo: 0.002, Ti: 0.029, P: 0.014, S: 0.008 and the finishing temperature of 910 ℃. The differential speed ratio, the pre-rolling thickness, the post-rolling thickness, the rolling force calculated by using the method of the invention and the actually measured rolling force of each rolling pass are shown in table 1.
TABLE 1 EXAMPLE 1 differential speed ratio, Pre-Rolling thickness, post-Rolling thickness, calculated Rolling force and measured Rolling force
Figure BDA0003529639630000094
Figure BDA0003529639630000101
As can be seen from Table 1, the error between the asynchronous hot rolling force of the hot rolled steel strip calculated by the method and the actually measured asynchronous hot rolling force is within 10.8 percent, the error between the calculated value of the rolling moment and the actually measured value is within 19.9 percent, and the precision is high.
Example 2
Taking a CSP six-rack hot continuous rolling finishing mill group of a certain factory as an example, the diameters of the working rolls of the racks of the unit F1-F3 are 720-800 mm, the maximum rolling force is 40MN, the diameters of the working rolls of the racks F4-F6 are 540-600 mm, and the maximum rolling force is 32 MN. The hot-rolled steel strip has the initial thickness of 40.57mm and the width of 1510mm, and comprises the following chemical components in percentage by weight (less than or equal to percent): c: 0.087, Si: 0.13, Mn: 1.35, Cr: 0.02, V: 0.01, Nb: 0.033, P: 0.01, S: 0.004 and the finishing temperature is 880 ℃. The differential speed ratio, the pre-rolling thickness, the post-rolling thickness, the rolling force calculated by using the method of the invention and the actually measured rolling force of each rolling pass are shown in table 2.
TABLE 2 EXAMPLE 2 differential speed ratio, Pre-Rolling thickness, post-Rolling thickness, calculated Rolling force and measured Rolling force
Figure BDA0003529639630000102
As can be seen from Table 2, the error between the asynchronous hot rolling force of the hot rolled steel strip calculated by the method and the actually measured asynchronous hot rolling force is within 9.0 percent, the error between the calculated value of the rolling moment and the actually measured value is within 15.6 percent, and the precision is high.
Example 3
Taking a 2150mm seven-frame four-roller hot continuous rolling unit as an example, the diameter of a working roller of the unit is 570-750 mm, the diameter of a supporting roller of the unit is 1300-1450 mm, and the maximum rolling force of the unit is 32 MN. The initial thickness of the hot-rolled steel strip is 40.67mm, the width is 1304.9mm, and the chemical components by weight percentage (less than or equal to percent) are as follows: c: 0.074, Si: 0.17, Mn: 1.61, Cr: 0.02, V: 0.01, Nb: 0.036, P: 0.013, S: 0.0019 and the finishing temperature of 863 ℃. The differential speed ratio, the pre-rolling thickness, the post-rolling thickness, the rolling force calculated by using the method of the present invention and the actually measured rolling force of each rolling pass are shown in table 3.
TABLE 3 EXAMPLE 3 differential speed ratio, Pre-Rolling thickness, post-Rolling thickness, calculated Rolling force and measured Rolling force
Figure BDA0003529639630000103
Figure BDA0003529639630000111
As can be seen from Table 3, the error between the asynchronous hot rolling force of the hot rolled steel strip calculated by the method and the actually measured asynchronous hot rolling force is within 8.6%, the error between the calculated value of the rolling moment and the actually measured value is within 15.1%, and the precision is high.
Example 4
Taking a 2150mm seven-frame four-roller hot continuous rolling unit as an example, the unit has the working rollers of 570-750 mm, the supporting roller diameter of 1300-1450 mm, and the maximum rolling force of the unit is 32 MN. The initial thickness of the hot-rolled steel strip is 32mm, the width is 1250.5mm, and the chemical components by weight percentage (less than or equal to percent) are as follows: c: 0.032, Si: 0.009, Mn: 0.24, Cr: 0.012, V: 0.0011, Nb: 0.0006, P: 0.009, S: 0.006 and the finishing temperature of 900 ℃. The differential speed ratio, the pre-rolling thickness, the post-rolling thickness, the rolling force calculated by using the method of the present invention and the actually measured rolling force of each rolling pass are shown in table 4.
TABLE 4 example 4 differential speed ratio, pre-rolling thickness, post-rolling thickness, calculated rolling force and measured rolling force
Figure BDA0003529639630000112
As can be seen from Table 4, the error between the asynchronous hot rolling force and the actually measured asynchronous hot rolling force of the hot rolled steel strip calculated by the method is within 8.9 percent, the error between the calculated value and the actually measured value of the rolling moment is within 20.7 percent, and the precision is high.

Claims (9)

1. A method for setting rolling force and rolling moment of asynchronous rolling of a hot rolled steel strip is characterized by comprising the following steps:
s1: setting parameters;
s2: determining the neutral angle gamma of the fast rollfAnd slow roll neutral angle gammas；
S3: obtaining a calculated value of the total rolling force F of the asynchronous rolling;
s4: obtaining a calculated value of the total rolling moment T of the asynchronous rolling;
s5: and setting the final calculated values of the total asynchronous rolling force F and the total rolling moment T for the rolling force and the rolling moment of the asynchronous rolling of the hot rolled steel strip.
2. The method for setting the rolling force and the rolling moment for the asynchronous rolling of the hot rolled steel strip according to claim 1, wherein the following method is specifically adopted in each step:
s1: setting parameters:
setting parameters of the asynchronous rolling process, wherein the parameters comprise:
width B of steel strip and incoming thickness h of steel stripinitThickness h of steel strip entranceiOutlet thickness h of steel stripoModulus of elasticity E of steel stripsModulus of elasticity E of work rollwrDifferential speed ratio m of work rolls, inlet unit tension σiOutlet unit tension σoRadius of the fast roll RfR, slow roll radius RsRatio of radius of fast and slow rolls
Figure FDA0003529639620000011
Rolling rate
Figure FDA0003529639620000012
The rolling temperature t;
s2: determining the fast roll neutral angle gammafAnd the neutral angle gamma of the slow rolls；
S3: obtaining a calculated value of the total asynchronous rolling force F:
Figure FDA0003529639620000013
wherein R' is the flattening radius of the fast roll, pI、pII、pIIIThe unit rolling pressure of the front sliding area, the rolling area and the rear sliding area is respectively;
for a fast roll contact arc of
Figure FDA0003529639620000014
The position of (2):
Figure FDA0003529639620000015
pIIthe calculation is performed using one of the following two equations:
Figure FDA0003529639620000016
or
Figure FDA0003529639620000017
Wherein:
Figure FDA0003529639620000018
the arc of contact of the fast roller is
Figure FDA0003529639620000019
The thickness of the steel strip at the position (b) is calculated using the following formula:
Figure FDA0003529639620000021
2k is the arc radian of the contact arc of the fast roller
Figure FDA0003529639620000022
Resistance to deformation of the position of (2 k)oFor resistance to deformation at the exit side of asynchronous rolling, 2kiIs the deformation resistance of the asynchronous rolling inlet side;
Figure FDA0003529639620000023
Figure FDA0003529639620000024
alpha is the biting angle of the steel strip deformation zone on the fast roll, and is calculated according to the following formula:
Figure FDA0003529639620000025
s4: obtaining a calculated value of the total rolling moment T of the asynchronous rolling:
Figure FDA0003529639620000026
s5: and setting the final calculated values of the total rolling force F and the total rolling moment T of the asynchronous rolling for the rolling force and the rolling moment of the asynchronous rolling of the hot rolled steel strip.
3. The method for setting rolling force and rolling moment for asynchronously rolling a hot rolled steel strip as claimed in claim 2, wherein in the step S2, the fast roll neutral angle γfAnd slow roll neutral angle gammasThe calculation method comprises the following steps:
Figure FDA0003529639620000027
in the formula:
Figure FDA0003529639620000028
4. the method for setting the rolling force and the rolling moment for the asynchronous rolling of the hot rolled steel strip as claimed in claim 2, wherein the deformation resistance is calculated by:
Figure FDA0003529639620000031
wherein, sigma is the initial deformation resistance of the steel strip; ε is the true strain;
Figure FDA0003529639620000032
is the rolling speed, m/s; t is the rolling temperature, DEG C; b0～b4Is the undetermined coefficient.
5. The method for setting the rolling force and the rolling moment of the asynchronous rolling of the hot rolled steel strip according to claim 2, wherein the values of the fast rolling flat radius R', the asynchronous rolling total rolling force F and the asynchronous rolling total rolling moment T are obtained in an iterative manner, and the method comprises the following specific steps:
recalculating the fast rolling flat radius R 'from the current F value after calculating the current F and T calculation values from the steps S2 to S4 using the current fast rolling flat radius R'oAnd judging whether the current iterative calculation process meets the iterative convergence condition: if the iteration convergence condition is met, the calculation is finished, and the calculated values F and T obtained in the steps S3 and S4 of the current iteration calculation process are final values, and are used in the step S5; if the iterative convergence condition is not met, recalculating the current obtained flattening radius R'oIterate back to step S2 for the next iteration as the new fast roll flattening radius R'.
6. The method for setting rolling force and rolling moment for asynchronous rolling of hot rolled steel strip according to claim 5, wherein the iterative convergence condition is
Figure FDA0003529639620000033
εRThe accuracy is calculated iteratively.
7. The method as claimed in claim 6, wherein the iterative calculation accuracy ε is calculated by using a rolling force and a rolling moment of the asynchronous rolling of the hot rolled steel stripRNot more than 10-3。
8. The method for setting rolling force and rolling moment in asynchronous rolling of hot rolled steel strip as claimed in claim 5, wherein the recalculation of the fast rolling flat radius R 'according to the current F value'oThe method comprises the following steps:
Figure FDA0003529639620000034
in the formula (I), the compound is shown in the specification,
Figure FDA0003529639620000035
Ewris the modulus of elasticity, upsilon, of the rollsIs the poisson ratio.
9. The method for setting rolling force and rolling moment for asynchronous rolling of hot rolled steel strip as claimed in claim 5, wherein the initial value of the fast roll flattening radius R' is the fast roll radius R.
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