CN110976524B - Convexity configuration method for working roll of hot continuous rolling mill - Google Patents
Convexity configuration method for working roll of hot continuous rolling mill Download PDFInfo
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Abstract
A method for configuring the convexity of working roller of hot continuous rolling mill features that the proportional convexity C of hot continuous band steel is usediCalculating the genetic coefficient eta of the shape of the ith frame of the finishing mill groupi(ii) a Calculating the convexity configuration method of the working rolls of the rolling mill according to the result, wherein the method comprises the following steps: according to the rough rolling technological parameters, calculating and obtaining the inlet strip steel proportion convexity C of the frame F1 of the finishing mill group0(ii) a According to the requirement of the convexity of the strip steel product, calculating and obtaining the target proportion convexity C of the strip steel at the outlet of the F7 stand of the last stand of the finishing mill group7(ii) a According to the good criterion of the plate shape, determining the mechanical convexity C of the working roll of the ith frame of the finishing mill group at the outlet of the ith frame of the finishing mill groupmi(ii) a Calculating to obtain the convexity C on the working roll of the ith frame of the finishing mill groupRolli. The invention solves the problem that the working roll convexity configuration method of each frame of the finishing mill group does not consider the influence of different working conditions on the plate shape quality, realizes the improvement of the plate shape quality control capability, improves the rolling stability and further ensures the product quality of the strip steel.
Description
Technical Field
The invention relates to a convexity configuration method of a working roll of a hot continuous rolling mill, belonging to the technical field of steel rolling.
Background
The cross section shape of a strip steel product is one of main technical indexes for determining the quality of a plate shape, the cross section shape of a rough rolling (finish rolling) outlet is finally determined by the actual condition of a roll gap between two working rolls, and the convexity configuration of the working rolls plays a decisive role in the roll gap between the two working rolls. In order to realize high-precision strip shape, the convexity of the working roll needs to be reasonably configured, but the convexity setting of the working roll is mostly determined by strip field experiments for a long time, and no clear design criteria and basis exist. In a hot finishing mill group adopting a traditional plate shape control strategy, the rolling rhythm is adjusted mainly by considering the rules of thermal deformation and abrasion of a roller; the design of the convexity of the upstream rack of the finish rolling group does not judge the good condition of the strip shape and consider the influence of various external factors, and does not consider the potential bad influence of the strip shape generated by the upstream rack of the finish rolling group, so that the convexity of each working roll of the finish rolling group cannot meet the control of the working roll of the whole group on the strip shape, the strip steel product generates bad strip shape, and the product quality is influenced. Chinese patent document 1 (a method for configuring roll profiles of a wide strip hot continuous rolling finishing mill set), document 2 (a work roll profile and a control method thereof), and document 3 (a method for configuring roll profiles of a hot continuous rolling finishing mill), all of which provide a method for designing a CVC work roll, but do not provide a method for configuring a CVC work roll crown according to different working conditions. In addition, related researches and documents do not provide a method for configuring the convexity of the working roll according to different working conditions. This results in the crown of each work roll of the finishing train not being able to control the strip shape quality.
Disclosure of Invention
In order to solve the problems, the invention provides a method for configuring the convexity of a working roll of a hot continuous rolling mill, aiming at ensuring that the convexity configuration of the working roll of the hot continuous rolling mill is more consistent with the actual production condition through the reasonable configuration of the convexity of the working roll of the hot continuous rolling mill, realizing more accurate regulation of unit convexity control and improving the strip shape quality.
In order to achieve the aim, the invention provides a method for configuring the convexity of a working roll of a hot continuous rolling mill, which is characterized by comprising the following steps of:
s1: according to the rough rolling technological parameters, calculating the proportional convexity C of the inlet strip steel of the frame F1 of the finishing mill group0The specific method comprises the following steps:
wherein, shown in formula I:
Cintto be at given F, B, CWRAnd CWBThen obtaining the convexity of the loaded roll gap through finite element calculation;
f is the rolling force of rough rolling;
b is the width of the strip steel at the outlet of the last pass of rough rolling;
CWRthe convexity of the rough rolling working roll;
CWBfor rough rolling of the supporting rollerDegree;
h is the thickness of the strip steel at the final outlet of the rough rolling;
KFthe influence coefficient of the change of the rough rolling force on the loaded roll gap is obtained by finite element calculation according to the change of the rolling force;
delta F is the difference between the rough rolling force and the given rolling force F;
KBthe influence coefficient of the width change of the rough rolling strip steel on the on-load roll gap is obtained by finite element calculation according to the width change of the rough rolling strip steel;
delta B is the difference between the width of the rough rolling strip steel and the width B of the given strip steel;
KWRthe influence coefficient of the change of the convexity of the rough rolling working roll on the loaded roll gap is obtained by finite element calculation according to the change of the convexity of the working roll;
ΔCWRfor the crown of the rough rolling working roll and the crown C of the given rough rolling working rollWRA difference of (d);
KWBthe influence coefficient of the change of the convexity of the rough rolling supporting roll on the loaded roll gap is obtained by finite element calculation according to the change of the convexity of the rough rolling supporting roll;
ΔCWBfor the crown of the rough rolling support roller and the crown C of the given rough rolling support rollerWBThe difference of (a).
S2: calculating the target proportion convexity C of the strip steel at the outlet of the F7 stand according to the convexity requirement of the product7The specific method comprises the following steps:
C7＝Cobj/h7 II
wherein, C is shown in formula IIobjThe target convexity h of the strip steel at the outlet of the finish rolling group F7 stand7The thickness of the strip steel at the outlet of the F7 stand of the finish rolling unit;
s3: according to the results of the step S1 and the step S2, the proportional convexity C of the strip steel at the outlet of the ith frame of the finishing mill group is calculatediThe method comprises the following specific steps:
initializing n to 3;
secondly, determining C according to the proportion convexity of the downstream framei＝C7；
Wherein, i is n, n +1, …,7, C7The target proportion convexity of the strip steel at the outlet of the finishing mill group F7 stand;
third, calculating the proportion convexity of the strip steel of the upstream frame
Ci＝a(i-n)2+C7 III
Wherein, i is 1,2, …, n-1 in formula III;
coefficient a ═ C0-C7)/n2；
C7The target proportion convexity of the strip steel at the outlet of the finishing mill group F7 stand;
C0the proportion convexity of the strip steel at the inlet of the finishing mill group F1 stand;
fourthly, calculating the proportion convexity variable quantity of the ith frame strip steel of the finishing mill group
ΔCi＝Ci-1-Ci IV
Wherein, i is 1,2,3,4,5,6,7 in formula IV;
Cithe proportion convexity of the strip steel at the outlet of the ith frame of the finishing mill group is determined;
Ci-1the proportion convexity of the strip steel at the outlet of the i-1 th stand of the finishing mill group;
judging the proportional convexity variation Delta C of the ith frame strip steel of the unitiWhether the good condition of the plate shape is satisfied:
wherein, the formula is hiThe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
Bithe width of strip steel at the outlet of the ith frame of the finishing mill group;
alpha is the warping limit coefficient of the strip steel;
the value is generally 1.86-2.00 in hot continuous rolling;
if the good plate shape condition is met, finishing the calculation, if the good plate shape condition is not met, repeating the fourth step to the fifth step until the good plate shape condition is met, wherein n is n + 1;
if the condition is not met when n is 7, the coiled strip steel is judged to be a rough rolling quality abnormal coil, and the calculation result when n is 3 is adopted;
s4: calculating the i-th stand profile genetic coefficient eta of the finishing mill group through the step S3iThe specific method comprises the following steps:
ηi＝(0.5-arctan(ki)/π)/1.618 VI
wherein the content of the first and second substances,
d shown in formula VIIwIs the diameter of the work roll;
hithe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
Bithe width of the strip steel at the outlet of the ith frame of the finishing mill group;
s5: calculating the mechanical crown C of the i-th stand work roll of the finishing mill group by the step S4miThe specific method comprises the following steps:
wherein, i is 1,2,3,4,5,6,7 shown in formula VIII;
Cithe proportion convexity of the strip steel at the outlet of the ith frame of the finishing mill group is determined;
Ci-1the proportion convexity of the strip steel at the inlet of the finishing mill group F1 stand;
hithe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
ηithe convexity genetic coefficient of the ith frame of the finishing mill group;
s6: the convexity C on the working roll of the ith frame of the finishing mill group is obtained through the calculation of the step S5RolliThe specific method comprises the following steps:
wherein, the formula is 1,2,3,4,5,6, 7;
Cmimechanical crown, P, of the working roll of the ith stand of the finishing mill groupiThe rolling force of the ith frame of the finishing mill group;
Fbendithe maximum roll bending force of the ith frame of the finishing mill group; k is the roll gap transverse stiffness;
Kbendthe roll bending force influence coefficient is in the value range of 0.005-0.017;
Kbendi0the balance force of the bending roll is obtained;
KRollithe value range of the influence coefficient is 0.75-1.25.
Adopt the produced beneficial effect of above-mentioned technical scheme to lie in: the invention provides a method for configuring the convexity of a working roll of a hot continuous rolling mill, which is characterized in that the proportional convexity C of the strip steel at the inlet of a finishing mill group F1 stand is calculated according to the rough rolling process parameters and the convexity requirements of strip steel products0Target proportion convexity C of strip steel at outlet of F7 stand of last stand7On the basis, a mathematical model influencing the rolled strip steel plate is established, and the i-th frame convexity genetic coefficient eta of the finishing mill group is introduced into the mathematical modeliAnd passing through the i-th frame convexity genetic coefficient etaiThe influence factors of the transfer of the convexity/thickness ratio of the strip steel at the inlet side to the strip steel at the outlet side can be more accurately adjusted, and the mechanical convexity C of the working roll of the ith frame of each finishing mill group is obtained through calculationmiAnd then accurately calculating the working roll crown C of the ith frame of the finishing mill groupRolliTherefore, the method and the device provide adjusting basis and method for the configuration of the convexity of the CVC working roll according to different working conditions, ensure that the strip shape control capability of each finishing mill group is greatly improved by controlling the convexity of the working roll of each frame of the finishing mill group under the conditions of good roll gap and specific convexity of the hot continuous rolling mill frame, and provide guarantee for improving the quality of strip steel products.
Drawings
FIG. 1 is a schematic design flow chart of the convexity configuration method of the working rolls of the hot continuous rolling mill according to the invention;
FIG. 2 is a schematic view of the actual strip shape judging condition
FIG. 3 is the convexity value per unit period of the work roll
FIG. 4 is a graph showing the values of the roll bending force per unit period of the work roll
Detailed Description
The invention is further described with reference to the following figures and specific embodiments.
The main rolling material brand of a 1250mm hot rolling unit of a certain steel mill is a cold rolling base material, the thickness of a hot continuous rolling inlet is 38mm, and the thickness of an outlet of each rack is 20mm, 15mm, 10mm, 7mm, 5mm, 4mm and 3mm respectively.
TABLE 1 thickness of hot continuous rolling inlet 38mm, thickness of each stand outlet
| Rack | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| Outlet thickness | 20mm | 15mm | 10mm | 7mm | 5mm | 4mm | 3mm |
(1) Calculating the proportional convexity C of the strip steel at the inlet of the finishing mill group F1 stand0The formula of (1) is:
wherein, C shown in formula IintTo be at given F, B, CWRAnd CWBThen obtaining the convexity of the loaded roll gap through finite element calculation;
f is the rolling force of rough rolling; b is the width of the strip steel at the outlet of the last pass of rough rolling; cWRThe convexity of the rough rolling working roll; cWBThe convexity of the rough rolling support roller; h is the thickness of the strip steel at the final outlet of the rough rolling;
KFobtaining the influence coefficient of the change of the rough rolling force on the loaded roll gap by finite element calculation according to the change of the rolling force, wherein the value range is 0.002-0.005 mm/KN;
delta F is the difference between the rough rolling force and the given rolling force F; kBThe influence coefficient of the width change of the rough rolling strip steel on the loaded roll gap is obtained by finite element calculation according to the width change of the rough rolling strip steel, and the value range is 0.006-0.01;
delta B is the difference between the width of the rough rolling strip steel and the width B of the given strip steel; kWRObtaining the influence coefficient of the change of the convexity of the rough rolling working roll on the loaded roll gap by using finite element calculation according to the change of the convexity of the working roll, wherein the value range is 0.06-0.11;
ΔCWRfor the crown of the rough rolling working roll and the crown C of the given rough rolling working rollWRA difference of (d);
KWBobtaining the influence coefficient of the change of the convexity of the rough rolling supporting roller on the loaded roller gap by using finite element calculation according to the change of the convexity of the rough rolling supporting roller, wherein the value range is 0.05-0.1; delta CWBFor rough rolling of the support roller convexity and feedCrown C of fixed rough rolling support rollerWBThe difference of (a).
In the embodiment, the proportional convexity C of the strip steel at the inlet of the F1 stand is calculated0It was 0.0072.
(2) Calculating the target proportion convexity C of the strip steel at the outlet of the F7 frame7The specific method comprises the following steps:
C7＝Cobj/h7 II
wherein, C is shown in formulaobjThe target convexity of the strip steel at the outlet of the finish rolling group F7 rack; h is7The thickness of the strip steel at the outlet of the finishing mill group F7 stand.
In the embodiment, the target convexity of the strip steel at the outlet of the F7 stand is 0.05mm, the thickness of the strip steel at the outlet of the F7 stand of the finishing mill group is 3mm, and the target proportional convexity of the strip steel at the outlet of the F7 stand is calculated to be 0.0167.
(3) Calculating the proportion convexity C of the strip steel at the outlet of the ith frame of the finishing mill group through the step (1) and the step (2)iThe method comprises the following specific steps:
initializing n to 3;
secondly, determining C according to the proportion convexity of the downstream framei＝C7；
Wherein, the formula is shown as i ═ n, n +1, …,7 and C7The target proportion convexity of the strip steel at the outlet of the finishing mill F7 stand.
Third, calculating the proportion convexity of the strip steel of the upstream frame
Ci＝a(i-n)2+C7； III
Wherein, the formula is i ═ 1,2, …, n-1; coefficient a ═ C0-C7)/n2；C7The target proportion convexity of the strip steel at the outlet of the frame of the finishing mill group F7; c0The proportional crown of the strip at the inlet of the stand of the finishing mill group F1.
Fourthly, calculating the proportion convexity variable quantity of the ith frame strip steel of the finishing mill group
ΔCi＝Ci-1-Ci； IV
Wherein, the formula is 1,2,3,4,5,6, 7; ciOutlet strip steel proportion of ith frame of finishing mill groupConvexity; ci-1The outlet strip steel proportion convexity of the i-1 frame of the finishing mill group.
Judging the proportional convexity variation Delta C of the ith frame strip steel of the unitiWhether the good condition of the plate shape is satisfied:
wherein, the formula is hiThe thickness of the strip steel at the outlet of the ith frame of the finishing mill group; b isiThe width of strip steel at the outlet of the ith frame of the finishing mill group;
alpha is the warping limit coefficient of the strip steel, and the value is generally 1.86-2.00 in hot continuous rolling;
i, if the plate shape good condition is met, finishing the calculation;
ii, if the plate shape good condition is not met, enabling n to be n +1, and repeating the steps from the fourth step to the fifth step until the plate shape good condition is met;
and iii, if the condition is not met when n is 7, judging the coiled strip steel as a rough rolling quality abnormal coil, and adopting the calculation result when n is 3.
In the present embodiment, the thickness h of the strip at the outlet of the finishing stands is determined according to the parameters obtained in steps (1) and (2)1＝20mm，h2＝15mm，h3＝10mm，h4＝7mm，h5＝5mm，h6＝4mm，h73mm, width B of strip at outlet of each finishing stand1＝1012mm，B2＝1013mm，B3＝1013.5mm，B4＝1012mm， B5＝1011mm，B6＝1010mm，B7The strip steel buckling limit coefficient alpha is 1010mm, the value of the strip steel buckling limit coefficient alpha is 2, the proportional convexity of each finishing mill group is obtained through calculation and is shown in table 2, and the obtained proportional convexity variation is shown in the schematic diagram of the actual plate shape judgment condition of fig. 2.
TABLE 2 proportion convexity of each stand outlet of finishing mill group
(4) Calculating the genetic coefficient eta of the shape of the ith frame of the finishing mill group through the step (3)iThe specific method comprises the following steps:
ηi＝(0.5-arctan(ki)/π)/1.618 VI
wherein the content of the first and second substances,
is shown in formula DwIs the diameter of the work roll; h isiThe thickness of the strip steel at the outlet of the ith frame of the finishing mill group; b isiThe width of the strip steel at the outlet of the ith frame of the finishing mill group.
In the present embodiment, the diameter of the working rolls is 536mm, and the thickness h of the strip at the outlet of each finishing stand1＝20mm，h2＝15mm，h3＝10mm，h4＝7mm，h5＝5mm，h6＝4mm，h73mm, outlet strip width B of each finishing stand1＝1012mm，B2＝1013mm，B3＝1013.5mm，B4＝1012mm，B5＝1011mm，B6＝1010mm， B7Calculating the genetic coefficient eta of the plate shape of the finish rolling stand as 1010mm1＝0.0262，η2＝0.0262，η3＝0.0262， η4＝0.0262，η5＝0.0262，η6＝0.0261，η7＝0.0261。
TABLE 3 genetic modulus of planishing mill stand shape
(5) Calculating the mechanical convexity C of the ith frame working roll of the finishing mill group through the step (4)miThe specific method comprises the following steps:
wherein, the formula is 1,2,3,4,5,6, 7; ciThe proportion convexity of the strip steel at the outlet of the ith frame of the finishing mill group is determined; ci-1The proportion convexity of the strip steel at the inlet of the finishing mill group F1 stand; h isiThe thickness of the strip steel at the outlet of the ith frame of the finishing mill group; etaiThe convexity genetic coefficient of the ith frame of the finishing mill group.
In the embodiment, the mechanical convexity C of the working rolls of each finishing stand is calculated by the parameters obtained in the stepsm1＝0.2529mm，Cm2＝0.2353mm，Cm3＝0.1673mm，Cm4＝0.1169mm， Cm5＝0.0835mm，Cm6＝0.0668mm，Cm7＝0.0502mm。
TABLE 4 mechanical crown of the work rolls of each stand of the finishing mill group
| Rack | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| Mechanical crown | 0.2529 | 0.2353 | 0.1673 | 0.1169 | 0.0835 | 0.0668 | 0.0502 |
(6) Obtaining the convexity C on the working roll of the ith frame of the finishing mill group through calculation in the step (5)RolliThe specific method comprises the following steps:
wherein, the formula is 1,2,3,4,5,6, 7; cmiMechanical crown, P, of the working roll of the ith stand of the finishing mill groupiThe rolling force of the ith frame of the finishing mill group; fbendiThe maximum roll bending force of the ith frame of the finishing mill group; k is the roll gap transverse stiffness; kbendThe roll bending force influence coefficient is in the value range of 0.005-0.017; kbendi0The balance force of the bending roll is obtained; kRolliThe value range of the influence coefficient is 0.75-1.25.
In the embodiment, the mechanical convexity of the working rolls of each stand of the finishing mill group is obtained by the steps, and the rolling force of each stand of the finishing mill group is P1＝1130.6KN，P2＝1071.6KN，P3＝1010KN，P4＝845KN， P5＝740KN，P6＝665KN，P7550KN, the maximum bending force of each frame of the finishing mill group is Fbend1＝100KN， Fbend2＝100KN，Fbend3＝88KN，Fbend4＝84KN，Fbend5＝77KN，Fbend6＝75KN，Fbend785KN, the roll gap transverse rigidity K is 2179KN/mm, and the roll bending force influence coefficient KbendIs 0.01mm/KN, roll bending balance force Kbendi050KN, and the influence coefficient K of the equivalent convexity of the roller shapeRolliAt 0.95, the crown work rolls for each finishing mill group were calculated as shown in table 5:
TABLE 5 convexity of the work rolls of the finishing mills
The convexity arrangement is arranged and applied in a steel mill 1250, and the effect is obvious from the aspect of plate shape control effect. Fig. 3 and 4 show the crown of the strip and the roll bending force during a rolling schedule. From the comparison of convexity setting and detection results, the convexity and flatness control is remarkable, and the convexity hit rate of a target value of 50um is more than 97%.
Claims (1)
1. A method for configuring the convexity of a working roll of a hot continuous rolling mill is characterized by comprising the following steps: according to the rough rolling technological parameters, calculating and obtaining the inlet strip steel proportion convexity C of the frame F1 of the finishing mill group0(ii) a Calculating and obtaining the target proportion convexity C of the strip steel at the outlet of the F7 stand of the last stand of the finishing mill group according to the convexity requirement of the strip steel product7(ii) a Determining the proportion convexity C of the strip steel at the outlet of the ith frame of the finishing mill group according to the good criterion of the plate shapei(ii) a Calculating the genetic coefficient eta of the ith frame plate shape of the finishing mill groupi(ii) a Calculating the mechanical convexity C of the working roll of the ith frame of the finishing mill group according to the resultmi(ii) a Calculating to obtain the convexity C on the working roll of the ith frame of the finishing mill groupRolli。
The convexity configuration method of the working rolls of the hot continuous rolling mill comprises the following steps:
s1: according to the rough rolling technological parameters, calculating the proportional convexity C of the inlet strip steel of the frame F1 of the finishing mill group0The specific method comprises the following steps:
wherein, shown in formula I:
Cintto be at given F, B, CWRAnd CWBThen obtaining the convexity of the loaded roll gap through finite element calculation;
f is the rolling force of rough rolling;
b is the width of the strip steel at the outlet of the last pass of rough rolling;
CWRthe convexity of the rough rolling working roll;
CWBthe convexity of the rough rolling support roller;
h is the thickness of the strip steel at the final outlet of the rough rolling;
KFthe influence coefficient of the change of the rough rolling force on the loaded roll gap is obtained by finite element calculation according to the change of the rolling force;
delta F is the difference between the rough rolling force and the given rolling force F;
KBthe influence coefficient of the width change of the rough rolling strip steel on the on-load roll gap is obtained by finite element calculation according to the width change of the rough rolling strip steel;
delta B is the difference between the width of the rough rolling strip steel and the width B of the given strip steel;
KWRthe influence coefficient of the change of the convexity of the rough rolling working roll on the loaded roll gap is obtained by finite element calculation according to the change of the convexity of the working roll;
ΔCWRfor the crown of the rough rolling working roll and the crown C of the given rough rolling working rollWRA difference of (d);
KWBthe influence coefficient of the change of the convexity of the rough rolling support roll on the loaded roll gap is obtained by finite element calculation according to the change of the convexity of the rough rolling support roll;
ΔCWBfor the crown of the rough rolling support roller and the crown C of the given rough rolling support rollerWBThe difference of (a).
S2: calculating the target proportion convexity C of the strip steel at the outlet of the F7 stand according to the convexity requirement of the product7The specific method comprises the following steps:
C7＝Cobj/h7 II
wherein, C is shown in formula IIobjThe target convexity h of the strip steel at the outlet of the finish rolling group F7 stand7The thickness of the strip steel at the outlet of the finishing mill group F7 stand;
s3: according to the results of the step S1 and the step S2, the proportional convexity C of the strip steel at the outlet of the ith frame of the finishing mill group is calculatediThe method comprises the following specific steps:
initializing n to 3;
② root of Manyflower IrisDetermining C according to the proportion convexity of the downstream framei＝C7；
Wherein, i is n, n +1, …,7, C7The target proportion convexity of the strip steel at the outlet of the finishing mill group F7 stand;
third, calculating the proportion convexity of the strip steel of the upstream frame
Ci＝a(i-n)2+C7 III
Wherein, i is 1,2, …, n-1 in formula III;
coefficient a ═ C0-C7)/n2；
C7The target proportion convexity of the strip steel at the outlet of the finishing mill group F7 stand;
C0the proportion convexity of the strip steel at the inlet of the finishing mill group F1 stand;
fourthly, calculating the proportion convexity variable quantity of the ith frame strip steel of the finishing mill group
ΔCi＝Ci-1-Ci IV
Wherein, i is 1,2,3,4,5,6,7 in formula IV;
Cithe proportion convexity of the strip steel at the outlet of the ith frame of the finishing mill group is determined;
Ci-1the proportion convexity of the strip steel at the outlet of the i-1 th stand of the finishing mill group;
judging the proportional convexity variation Delta C of the ith frame strip steel of the unitiWhether the good condition of the plate shape is satisfied:
wherein, the formula is hiThe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
Bithe width of strip steel at the outlet of the ith frame of the finishing mill group;
alpha is the warping limit coefficient of the strip steel;
the value is generally 1.86-2.00 in hot continuous rolling;
if the good plate shape condition is met, finishing the calculation, if the good plate shape condition is not met, repeating the fourth step to the fifth step until the good plate shape condition is met, wherein n is n + 1;
if the condition is not met when n is 7, the coiled strip steel is judged to be a rough rolling quality abnormal coil, and the calculation result when n is 3 is adopted;
s4: obtaining the genetic coefficient eta of the plate shape of the ith frame of the finishing mill group through the calculation result of the step S3iThe specific method comprises the following steps:
ηi＝(0.5-arctan(ki)/π)/1.618 VI
wherein the content of the first and second substances,
d shown in formula VIIwIs the diameter of the work roll;
hithe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
Bithe width of the strip steel at the outlet of the ith frame of the finishing mill group;
s5: calculating the mechanical crown C of the i-th stand work roll of the finishing mill group by the step S4miThe specific method comprises the following steps:
wherein, i is 1,2,3,4,5,6,7 shown in formula VIII;
Cithe proportion convexity of the strip steel at the outlet of the ith frame of the finishing mill group is determined;
Ci-1the proportion convexity of the strip steel at the inlet of the finishing mill group F1 stand;
hithe thickness of the strip steel at the outlet of the ith frame of the finishing mill group;
ηithe convexity genetic coefficient of the ith frame of the finishing mill group;
s6: the convexity C on the working roll of the ith frame of the finishing mill group is obtained through the calculation of the step S5RolliThe specific method comprises the following steps:
wherein, the formula is 1,2,3,4,5,6, 7;
Cmimechanical crown, P, of the working roll of the ith stand of the finishing mill groupiThe rolling force of the ith frame of the finishing mill group;
Fbendithe maximum roll bending force of the ith frame of the finishing mill group; k is the roll gap transverse stiffness;
Kbendthe roll bending force influence coefficient is in the value range of 0.005-0.017;
Kbendi0the balance force of the bending roll is obtained;
KRollithe value range of the influence coefficient is 0.75-1.25.
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