CN115351096A - Method for optimally setting bending roll - Google Patents
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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
- B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
- B21B37/38—Control of flatness or profile during rolling of strip, sheets or plates using roll bending
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Abstract
The invention relates to an optimized setting method for a bending roll, and belongs to the technical field of hot continuous rolling methods. The technical scheme of the invention is as follows: and (3) considering the roll bending force setting range of a specific frame of the four-roll CVC hot rolling unit, establishing a roll bending optimization setting model based on three parameters of an inter-roll pressure distribution value, a rolling pressure distribution value and a plate shape, and solving the model to obtain an optimal roll bending force setting value in the rolling process of the strip steel under a specific specification. The invention has the beneficial effects that: the strip shape control capability of the CVC hot rolling unit under a specific frame is improved, and good economic benefits are brought to on-site strip steel production.
Description
Technical Field
The invention relates to an optimized setting method for a bending roll, and belongs to the technical field of hot continuous rolling methods.
Background
With the rapid development of national economy, the hot rolled strip steel industry in China is continuously strong, the production process and equipment technology are rapidly developed, and with the rapid development of other fields such as automobiles, aerospace and the like, the demand of users on high-quality hot rolled strip steel products is gradually increased, the supply of high-quality strip steel by a domestic hot rolled strip steel plant cannot meet the demand of the domestic market, and foreign enterprises control the large market share of the domestic high-quality hot rolled strip steel products. The convexity and the flatness are two main indexes for measuring the quality of the hot rolled steel plate, wherein the convexity and the flatness of the steel plate are mainly ensured by the real-time adjustment of the roll bending force. The hydraulic roll bending control is one of the most important modes for controlling the plate shape of the hot rolling mill group, and the control process is as follows: the shaft end hydraulic cylinder generates certain thrust and acts on a shaft neck of the roller, so that the roller generates certain additional bending, the deflection of the roller is changed, the shape of a loaded roll gap of the rolling mill and the transverse tension distribution are changed, and further the control of the plate shape is realized. The final purpose of controlling the plate shape is to control the flatness of the strip steel at the outlet of each stand to be good, and the control of the roll bending force is an important control mode for controlling the flatness of the strip steel. Among the factors influencing the strip shape of the specific frame of the four-roller CVC hot rolling unit, the change of the bending roller of the working roller is the main factor influencing the strip shape, and the change of the bending roller force has larger influence on the elastic deformation between roller systems, thereby influencing the strip shape of the strip steel at the outlet of the frame. The strip shape under the specific roll bending force is solved based on a traditional influence function method, and then the strip shape at the strip steel outlet is controlled, so that better strip shape control accuracy can be obtained, however, the strip steel with different specifications and performance requirements is difficult to obtain better strip shape control accuracy by using an influence coefficient method. The method has the advantages that a traditional influence function method is improved, the roll bending force setting under a specific working condition is optimized according to the roll bending force control limit capacity and the process characteristics of field four-roll CVC hot rolling unit equipment, the optimal roll bending force setting value under the working condition is searched, better plate shape control precision is obtained, the roll bending under a specific rack of the four-roll CVC hot rolling unit is optimally controlled, strip steel with different specifications and performances can be rolled by the same four-roll CVC hot rolling unit as far as possible, the production cost of the strip steel is reduced, and the method has important significance in improving the production efficiency and quality of the field strip steel.
At present, according to the content of literature retrieval, it is known that, most of the domestic and foreign research on the optimization of the bending force of a specific unit of a four-roll CVC hot rolling mill set is to calculate the adjustment value of the bending force caused by the change of the rolling force or the change of the crown during pre-rolling according to the initial value of the bending force, or to establish a stress model and an elastic deformation model between rolls from relevant theoretical knowledge, calculate the deflection and the flattening amount between the rolls of a roll system, and iteratively calculate the optimal bending force value under different rolling forces, or iteratively calculate the optimal bending force value under different roll diameters, and consider the limit capability and the process characteristics of the bending force control of the hot rolling mill set, and simultaneously consider the changes of the rolling force, the pressure between the rolls and the strip shape value, and optimize the setting of the bending rolls, so as to obtain better strip shape control accuracy.
Disclosure of Invention
The invention aims to provide a method for optimally setting a bending roll, which considers the setting range of the bending roll force of a specific frame of a four-roll CVC hot rolling unit, establishes a bending roll optimal setting model based on three parameters of an inter-roll pressure distribution value, a rolling pressure distribution value and a strip shape, and solves the model to obtain the optimal setting value of the bending roll force in the strip steel rolling process under a specific specification, improves the strip shape control capability of the specific frame of the CVC hot rolling unit, brings better economic benefit for on-site strip steel production, and effectively solves the problems in the background technology.
The technical scheme of the invention is as follows: a method for optimally setting a bending roll comprises the following steps:
(A) Collecting equipment and technological parameters of a specific frame of a four-roller CVC hot rolling unit;
(B) Collecting relevant parameters of the strip steel;
(C) Dividing the strip into n in the transverse direction 1 Dividing the support roll into n sections along the length of the roll body 2 Expanding the generalized rolling pressure into n 2 Roll bending force deflection influence function of left and right sides
Influence function of supporting force deflection of left and right sides
Work roll deflection influence function a ij Influence function of deflection of back-up roll b ij J section of roll gap pressure q j And j-th stage rolled pressure value q' j Wherein n is 2 ＝2n+1，n 1 =2m +1, i and j are the positions of the ith and jth sections in the number of sections divided by the support respectively, and i, j belongs to {1, 2.,. 2n +1}, and the iteration error epsilon of the shape calculation 1 Integral objective function f of pressure between rolls 1 (S), rolling pressure integrated objective function f 2 (S), a shape-integrated objective function f 3 (S), optimizing an integrated objective function F (S) by a specific machine frame lower bending roll and obtaining a maximum integrated objective function value F 1max 、f 2max 、f 3max Minimum integrated objective function value f 1min 、f 2min 、f 3min Optimization of the minimum value F of the comprehensive objective function for the lower bending roll of a specific frame min (S)；
(D) Given initial roll bending force S = S 0 And a search space S e (S) of the roll bending force 01 ,S 02 ) Calculating the two ends of the supporting rollerSupporting force and j-th section load caused i section working roll and supporting roll deflection influence function a ij 、b ij Influence coefficient of left and right roll bending force and supporting force on i-th section roll deflection
In the formula: x is the number of i 、x j The length of the roll body at the ith and jth positions divided by the length of the roll body of the supporting roll respectively, delta x is the length of each divided roll body section, p 1 (k',x 1 ,x 2 D ') is the influence function of the i-th section of roll deflection caused by load, k' is the coefficient parameter of the influence function, x 1 ,x 2 The length parameters of the roll body at the ith section and the jth section of the influence function are shown, and D' is the roll diameter parameter of the influence function;
(E) Based on the roller system elastic deformation and metal plastic deformation models, establishing a deformation coordination equation set of a roller system of a specific frame of a four-roller CVC hot rolling mill set, and solving the equation set:
in the formula: beta is the rigid angle of rotation of the working roll relative to the supporting roll, S 1 ，S 2 Respectively bending forces at the left end and the right end of the working roll, and K is a flexibility coefficient of mutual flattening of the working roll and the supporting roll;
(F) Calculating the outlet thickness h of a particular stand of a CVC hot rolling mill train i Deflection f of work roll wi ：
In the formula: k is i ' is the flattening coefficient of the ith section between the working roll and the rolled piece,
deflection of the i-th section of the upper work roll, Δ h i The thickness difference of the inlet and the outlet of the ith section;
(G) Calculating the front tension of a specific frame of the CVC hot rolling unit:
in the formula: sigma 0i For this reason, the back tension, σ, under roll bending forces 1i Front tension under roll bending force for this purpose;
(H) And (3) judging:
whether or not, wherein epsilon 1 Calculating the error for the strip shape of a particular stand of the CVC hot rolling mill, if not, making
Entering step (D); if yes, entering step (I);
(I) For a given roll force search interval Seege (S) 0 ,S 0 + 1), and dividing the interval into N parts, and calculating the pressure between the rollers, the rolling pressure and the plate shape at the other N-1 points in the same way, so as to obtain the pressure value between the rollers, the rolling pressure value and the plate shape of the specific frame of the CVC hot rolling unit in the search interval:
in the formula, q k Calculated value of inter-roll pressure for kth solution, q' k Rolling pressure calculation, σ, for the kth solution 1k Solving for the kth plate shape value;
(J) Calculating the optimized comprehensive objective function value of the bending roll of the specific frame:
in the formula: q. q.s kmax 、q kmin 、q kaver The maximum roll-to-roll pressure value and the minimum roll-to-roll pressure value of the kth roll-to-roll pressure array solution satisfying the iteration conditionValue and average roll-to-roll pressure value, q' kmax 、q' kmin 、q' kaver Respectively the maximum rolling pressure value, the minimum rolling pressure value and the average rolling pressure value in the kth rolling pressure array solution meeting the iteration condition, sigma 1kmax 、σ 1kmin 、σ 1kaver Respectively a maximum plate shape value, a minimum plate shape value and an average plate shape value in the kth plate shape array solution meeting the iteration condition, wherein alpha, beta and gamma are weighting coefficients, and N represents that N solutions meeting the iteration condition are totally N;
(K) And (3) judging: f. of 1min (S)≤f 1 (S)≤f 1max (S)，f 2min (S)≤f 2 (S)≤f 2max (S)，f 3min (S)≤f 3 (S)≤f 3max (S) if true, let S 0 ＝S 0 +1 step (D), if true, step (L);
(L) establishing Powell conditions, and judging: f (S) < F min (S) if true, if false, let S 0 ＝S 0 +1 to step (D), if true, to step (M);
in the formula, S 02 ，S 01 Respectively the upper limit and the lower limit of the roller bending force searching interval;
(M) outputting the optimal bending roll force S under the specific frame of the four-roll CVC unit at the moment g ＝S 0 ；
In the formula, S g And the optimal roll bending force set value under the working condition of the special frame of the four-roll CVC hot rolling unit is obtained.
In the step (A), the equipment and process parameters of the special stand of the four-roller CVC hot rolling mill group comprise the diameter D of the supporting roller b Diameter of work roll D w Initial average value of front tension and rear tension
Total rolling pressure q at a specific stand r Length L of the body of the backup roll b Coefficient of influence k of front and rear tensile stresses on rolling force r Difference of diameter Δ D between upper and lower rolls i Moment of inertia I of work and back-up rolls w 、I b Constant k =10/9, work roll influence functionCoefficient k 1 Coefficient of influence function k of back-up roll 2 Moment arm of bending force
And arm of supporting force
The profile of the panel shape is represented by the profile of the front tension values.
In the step (B), the relevant parameters of the strip steel comprise the elastic modulus E of the strip steel, the Poisson ratio v of the strip steel, the width B of the strip steel, the deformation resistance sigma of the strip steel, the average value H of the strip steel inlet thickness, the average value H of the outlet thickness and the thickness distribution value H of the strip steel incoming material inlet under the specific frame i 。
The invention has the beneficial effects that: the roll bending force setting range of the specific frame of the four-roll CVC hot rolling unit is considered, based on three parameters of the pressure distribution value among the rolls, the rolling pressure distribution value and the plate shape, a roll bending optimization setting model is established, the model is solved, the optimal roll bending force setting value of the strip steel in the rolling process under the specific specification is obtained, the plate shape control capacity of the specific frame of the CVC hot rolling unit is improved, and better economic benefits are brought to the field strip steel production.
Drawings
FIG. 1 is a flow chart of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the following will clearly and completely describe the technical solutions of the embodiments of the present invention with reference to the drawings of the embodiments, and it is obvious that the described embodiments are a small part of the embodiments of the present invention, rather than all embodiments, and all other embodiments obtained by a person of ordinary skill in the art without creative work based on the embodiments of the present invention belong to the protection scope of the present invention.
A method for optimally setting a bending roll comprises the following steps:
(A) Collecting equipment and technological parameters of a specific frame of a four-roller CVC hot rolling unit;
(B) Collecting relevant parameters of the strip steel;
(C) Dividing the strip into n in the transverse direction 1 Dividing the support roll into n sections along the length of the roll body 2 Expanding the generalized rolling pressure into n 2 Bending force deflection influence function of left and right sides
Influence function of supporting force deflection of left and right sides
Work roll deflection influence function a ij Influence function of deflection of back-up roll b ij J section of roll gap pressure q j And j-th stage rolled pressure value q' j Wherein n is 2 ＝2n+1，n 1 =2m +1, i and j are the positions of the ith segment and the jth segment in the number of the segments divided by the support respectively, and i, j belongs to {1,2,. +, 2n +1}, and the iteration error epsilon of the plate shape calculation 1 Integral objective function f of pressure between rolls 1 (S), rolling pressure integrated objective function f 2 (S), a sheet-form integrated objective function f 3 (S), optimizing an integrated objective function F (S) by a specific machine frame lower bending roll and obtaining a maximum integrated objective function value F 1max 、f 2max 、f 3max Minimum integrated objective function value f 1min 、f 2min 、f 3min Optimization of the minimum value F of the integrated objective function for the lower roll of a specific machine frame min (S)；
(D) Given initial roll bending force S = S 0 And a search space S e (S) of the roll bending force 01 ,S 02 ) Calculating the supporting force at two ends of the supporting roll and the influence function a of the deflection of the i-section working roll and the supporting roll caused by the j-th section load ij 、b ij Influence coefficient of left and right roll bending force and supporting force on i-th section roll deflection
In the formula: x is a radical of a fluorine atom i 、x j The length of the roll body is divided into the ith position and the jth position by the length of the roll body of the supporting roll, deltax is the length of each divided roll body section, p 1 (k',x 1 ,x 2 D ') is the influence function of the i-th section of roll deflection caused by load, k' is the coefficient parameter of the influence function, x 1 ,x 2 The length parameters of the roll body at the ith section and the jth section of the influence function are shown, and D' is the roll diameter parameter of the influence function;
(E) Based on the roller system elastic deformation and metal plastic deformation models, establishing a deformation coordination equation set of a roller system of a specific frame of a four-roller CVC hot rolling mill group, and solving the equation set:
in the formula: beta is the rigid angle of rotation of the working roll relative to the supporting roll, S 1 ，S 2 Respectively bending forces at the left end and the right end of the working roll, and K is a flexibility coefficient of mutual flattening of the working roll and the supporting roll;
(F) Calculating the outlet thickness h of a particular stand of a CVC hot rolling train i Deflection f of work roll wi ：
In the formula: k i ' is the flattening coefficient of the ith section between the working roll and the rolled piece,
deflection of the i-th section of the upper work roll, Δ h i The thickness difference of the entrance and the exit of the ith section;
(G) Calculating the front tension of a specific frame of the CVC hot rolling mill group:
in the formula: sigma 0i For this reason, the back tension, σ, under roll bending forces 1i Front tension under roll bending force for this purpose;
(H) And (3) judging:
whether or not, wherein ε 1 Calculating the error for the shape of a specific stand of the CVC hot rolling mill, if not, making
Entering step (D); if yes, entering step (I);
(I) For a given roll force search interval Seege (S) 0 ,S 0 + 1), and dividing the interval into N parts, and calculating the pressure between the rolls, the rolling pressure and the plate shape at the rest N-1 points in the same way, so as to obtain the pressure value between the rolls, the rolling pressure value and the plate shape of the specific frame of the CVC hot rolling unit in the search interval:
in the formula, q k Calculated value of pressure between rolls for kth solution, q' k Calculated rolling pressure, σ, for the kth solution 1k A plate value for the kth solution;
(J) Calculating the optimized comprehensive objective function value of the bending roll of the specific frame:
in the formula: q. q of kmax 、q kmin 、q kaver The k-th solution of the inter-roll pressure array satisfying the iteration condition comprises a maximum inter-roll pressure value, a minimum inter-roll pressure value and an average inter-roll pressure value q' kmax 、q' kmin 、q' kaver Respectively the maximum rolling pressure value, the minimum rolling pressure value and the average rolling pressure value in the kth rolling pressure array solution meeting the iteration condition, sigma 1kmax 、σ 1kmin 、σ 1kaver Respectively obtaining a maximum plate shape value, a minimum plate shape value and an average plate shape value in the kth plate shape array solution meeting the iteration condition, wherein alpha, beta and gamma are weighting coefficients, and N represents that N solutions meeting the iteration condition are totally obtained;
(K) And (3) judging: f. of 1min (S)≤f 1 (S)≤f 1max (S)，f 2min (S)≤f 2 (S)≤f 2max (S)，f 3min (S)≤f 3 (S)≤f 3max (S) if true, let S 0 ＝S 0 +1 to step (D), and if yes, to step (L);
(L) establishing Powell conditions, and judging: f (S) < F min (S) if true, if false, let S 0 ＝S 0 +1 step (D), if true, step (M);
in the formula, S 02 ，S 01 Respectively the upper limit and the lower limit of the roller bending force searching interval;
(M) outputting the optimal bending roll force S under the specific frame of the four-roll CVC unit at the moment g ＝S 0 ；
In the formula, S g And the optimal roll bending force set value under the working condition of the special frame of the four-roll CVC hot rolling unit is obtained.
In the step (A), the equipment and process parameters of the specific frame of the four-roller CVC hot rolling unit comprise the diameter D of the supporting roller b Diameter of work roll D w Initial average value of front tension and rear tension
Total rolling pressure q at a specific stand r Length L of the roll body of the supporting roll b Coefficient of influence k of front and rear tensile stresses on rolling force r Difference of diameter Δ D between upper and lower rolls i Moment of inertia I of work and back-up rolls w 、I b Constant k =10/9, work roll influence function coefficient k 1 Coefficient of influence function k of back-up roll 2 Moment arm of bending force
And arm of supporting force
The profile of the plate shape is represented by the profile of the front tension values.
In the step (B), the strip steel related parameters comprise stripThe elastic modulus E of steel, the Poisson ratio v of the strip steel, the width b of the strip steel, the deformation resistance sigma of the strip steel, the average thickness H of the strip steel inlet, the average thickness H of the outlet and the thickness distribution value H of the strip steel incoming material inlet under the special frame i 。
Example 1: the steel grade is 700L, and the specification is 1400mm multiplied by 7.3mm (width multiplied by thickness).
In order to achieve the purpose, the invention adopts the following technical scheme:
collecting the equipment and process parameters of a specific frame of the four-roller CVC hot rolling unit in the step (A): diameter D of the support roller b =1400mm, diameter of work roll D w =700mm, initial average value of front tension and rear tension
Total rolling pressure q at a specific stand r =1800t, length L of the supporting roll body b =1950mm, coefficient of influence of front and rear tensile stress on rolling force k r =0.0076, diameter difference deltaD of upper and lower rollers i ＝[-0.0006 -0.0324 -0.0642 -0.0793 -0.0993 -0.1106-0.1256 -0.1376-0.1432 -0.1494 -0.1505 -0.1516 -0.1558 -0.1513 -0.1442 -0.1376 -0.1288 -0.1208 -0.1128 -0.0938 -0.0842 -0.0750 -0.0633 -0.0543 -0.0411 -0.0279 -0.0148 -0.0058 0.0050 0.0133 0.0215 0.0328 0.0412 0.0475 0.0505 0.0602 0.0633 0.0657 0.0613]mm, moment of inertia of work and back-up rolls
I b ＝1.89×10 11 mm 4 、I w ＝1.18×10 10 mm 4 Constant k =10/9, work roll influence function coefficient k 1 ＝5.41×10 -7 Coefficient of influence function k of back-up roll 2 ＝3.38×10 -8 Moment arm of bending force
Arm of supporting force
Subsequently collecting strip steel related parameters in step (B): modulus of elasticity E =210000MPa, poise of stripThe bulk v =0.3, the width b =1400mm of the strip steel, the deformation resistance sigma =450MPa of the strip steel, the average thickness H =9.2mm of the strip steel inlet under the special frame, the average thickness H =7.3mm of the outlet, and the thickness distribution value H of the strip steel incoming material inlet i ＝[9.1762 9.1807 9.1849 9.1888 9.1924 9.1957 9.1986 9.2013 9.2036 9.2056 9.2074 9.2088 9.2098 9.2106 9.2111 9.2112 9.2111 9.2106 9.2098 9.2088 9.2074 9.2056 9.2036 9.2013 9.1986 9.1957 9.1924 9.1888 9.1849 9.1807 9.1762]mm；
Subsequently dividing the strip into n sections in the transverse direction in step (C) 1 =31 parts, dividing the support roll into n along the length of the roll body 2 =41 parts, expanding the generalized rolling pressure to n 2 =41 parts, iteration error ε of flatness calculation 1 =0.003, and sets the maximum comprehensive objective function value f of the pressure between the rollers 1max =120, maximum comprehensive objective function value f of rolling pressure 2max =120, maximum comprehensive objective function value f of front tension 3max =1, minimum integrated objective function value f of pressure between rolls 1min =0, minimum value of the overall objective function of the rolling pressure f 2min =0, minimum value of the integrated objective function of front tension f 3min =0 initial minimum value F of optimization integrated objective function for roll bending under specific machine frame min (S)＝20；
Then, in step (D), giving an initial bending force S =65t, a bending force search interval S epsilon (65, 75), calculating a supporting force under the initial bending force, and calculating an influence function a of i sections of deflection of the working roll and the supporting roll caused by j section of load ij 、b ij Influence coefficient of left and right roll bending force and supporting force on i-th section roll deflection
Obtaining the supporting force P =515t and the roll bending force influence coefficient
and (E) establishing a deformation coordination equation set of the roller system of the specific frame of the four-roller CVC hot rolling mill set based on the roller system elastic deformation and metal plastic deformation model, and solving the equation set:
calculating to obtain a rolling force distribution value q' j ＝[314684 312077 308827 305132 301165 297081 293015 289086 285396 282032 279067 276562 274565 273112 272230 271935 272230 273112 274565 276562 279067 282032 285396 289086 293015 297081 301165 305132 308827 312077 314684]N, value of force distribution q between rolls j ＝[330515 314236 299997 287766 277494 269114 261574 254805 248746 243344 238549 234322 230627 227432 224712 222444 220613 219202 218202 217605 217406 217605 218202 219202 220613 222444 224712 227432 230627 234322 238549 243344 248746 254805 261574 269114 277494 287766 299997 314236 330515]N；
The outlet thickness h of a particular stand of the CVC hot rolling mill train is then calculated in step (F) i Deflection f of work roll wi ：
Calculating to obtain the outlet thickness h i ＝[7.2821 7.2857 7.2890 7.2921 7.2949 7.2975 7.2999 7.3020 7.3038 7.3054 7.3068 7.3079 7.3088 7.3094 7.3098 7.3099 7.3098 7.3094 7.3088 7.3079 7.3068 7.3054 7.3038 7.3020 7.2999 7.2975 7.2949 7.2921 7.2890 7.2857 7.2821]mm, deflection f of the working roll wi ＝[0.04502 0.06770 0.08309 0.09138 0.09287 0.08793 0.08162 0.07433 0.06639 0.05809 0.04972 0.04151 0.03366 0.02634 0.01971 0.01390 0.00900 0.00511 0.00229 0.00057 0.00000 0.00057 0.00229 0.00511 0.00900 0.01390 0.01971 0.02634 0.03366 0.04151 0.04972 0.05809 0.06639 0.07433 0.08162 0.08793 0.09287 0.09138 0.08309 0.06770 0.04502]mm；
The front tension of a particular stand of the CVC hot rolling mill train is then calculated in step (G):
calculating to obtain the front tension sigma 1i ＝[6.063 6.164 6.289 6.432 6.584 6.741 6.897 7.048 7.190 7.319 7.432 7.528 7.605 7.660 7.694 7.705 7.694 7.660 7.605 7.528 7.432 7.319 7.190 7.048 6.897 6.741 6.584 6.432 6.289 6.164 6.063]MPa；
Subsequently in a step (H) of the process,
if yes, entering the step (I);
subsequently, in step (I), the roll force search interval S e (65, 66) is searched for the roll force at this time, this interval is divided into N =10 parts, and the roll nip, the rolling pressure and the strip shape at the remaining 9 points are calculated in the same manner, so that the roll nip value, the rolling pressure and the strip shape of the particular stand of the CVC hot rolling mill train within this search interval are obtainedForce value and plate shape:
the calculation results of the pressure between the rolls, the rolling force and the front tension are in the form described above, and the calculation results are not listed;
then in step (J), taking α =0.1, β =0.1, γ =0.8, the overall objective function value for the particular frame roll bending optimization is calculated:
is calculated to obtain f 1 (S)＝59.3，f 2 (S)＝63.2，f 3 (S)＝0.06，F(S)＝12.298；
Subsequently, in step (K): f. of 1min (S)≤f 1 (S)≤f 1max (S)，f 2min (S)≤f 2 (S)≤f 2max (S)，f 3min (S)≤f 3 (S)≤f 3max If both (S) are true, entering step (L);
then, in step (L), powell condition is satisfied, and after searching the section of the bending roll force S epsilon (65, 75), S is carried out at the time 0 =73t, f (S) =10.027, proceed to step (M);
subsequently, in step (M), the optimal roll bending force S of the specific frame of the four-roll CVC unit at the moment is output g ＝73t。
The invention combines the equipment and process characteristics of a specific frame of an on-site four-roller CVC hot rolling unit, sets the limit setting range of the roller bending force, considers three parameters of the pressure between rollers, the rolling pressure and the plate shape, establishes a roller bending optimization setting model, solves the model, obtains the optimal roller bending force setting value of the strip steel rolling process under a specific specification, improves the plate shape control capability under the specific frame, and brings better economic benefit for the strip steel production of the four-roller CVC hot rolling unit.
Example 2: the steel grade is SPHC-S, and the specification is 1600mm multiplied by 8.2mm (width multiplied by thickness).
In order to achieve the purpose, the invention adopts the following technical scheme:
collecting the equipment and process parameters of a specific frame of a four-roller CVC hot rolling unit in the step (A): branch standDiameter D of support roller b =1520mm, work roll diameter D w =740mm, initial average value of front tension and back tension
Total rolling pressure q at a specific stand r =2200t, length of the supporting roll body L b =2250mm, coefficient of influence k of front and rear tensile stress on rolling force r =0.0083, difference of diameter of upper and lower rollers Delta D i ＝[-0.0006 -0.0324 -0.0642 -0.0793 -0.0993 -0.1106-0.1256 -0.1376-0.1432 -0.1494 -0.1505 -0.1516 -0.1558 -0.1513 -0.1442 -0.1376-0.1288 -0.1208 -0.1128 -0.0938 -0.0842 -0.0750 -0.0633 -0.0543 -0.0411 -0.0279 -0.0148 -0.0058 0.0050 0.0133 0.0215 0.0328 0.0412 0.0475 0.0505 0.0602 0.0633 0.0657 0.0613]mm, moment of inertia of work and backup rolls
I b ＝2.62×10 11 mm 4 、I w ＝1.47×10 10 mm 4 Constant k =10/9, work roll influence function coefficient k 1 ＝6.65×10 -7 Coefficient of influence function k of back-up roll 2 ＝3.74×10 -8 Moment arm of bending force
Arm of supporting force
Subsequently collecting strip steel related parameters in step (B): the elastic modulus E of the strip steel is =210000MPa, the Poisson ratio v of the strip steel is =0.3, the width b of the strip steel is =1600mm, the deformation resistance sigma of the strip steel is =420MPa, the average value H =13.1mm of the strip steel inlet thickness under the specific frame, the average value H =8.2mm of the strip steel outlet thickness, and the thickness distribution value H of the strip steel incoming material inlet i ＝[13.0759 13.0804 13.0846 13.0886 13.0922 13.0954 13.0984 13.1011 13.1034 13.1054 13.1072 13.1086 13.1097 13.1105 13.1109 13.1111 13.1109 13.1105 13.1097 13.1086 13.1072 13.1054 13.1034 13.1011 13.0984 13.0954 13.0922 13.0886 13.0846 13.0804 13.0759]mm；
Subsequently subjecting the tape to step (C)The steel being divided into n in transverse direction 1 =31 parts, dividing the support roll into n along the length of the roll body 2 =41 parts, expanding the generalized rolling pressure to n 2 =41 parts, iteration error ε of the flatness calculation 1 =0.005, set maximum comprehensive objective function value f of pressure between rollers 1max =120, maximum comprehensive objective function value f of rolling pressure 2max =120, maximum comprehensive objective function value f of front tension 3max =1, minimum integrated objective function value f of pressure between rolls 1min =0, minimum value of the overall objective function of the rolling pressure f 2min =0, minimum value of the integrated objective function of front tension f 3min =0, initial minimum value F of optimization comprehensive objective function of lower bending roll of specific frame min (S)＝20；
Then, in step (D), given an initial bending force S =70t, a bending force searching interval S epsilon (70, 80), a supporting force under the initial bending force and an influence function a of i-section working roll and supporting roll deflection caused by j-th section load are calculated ij 、b ij Influence coefficient of left and right roll bending force and supporting force on i-th section roll deflection
Obtaining the supporting force P =520t and the roll bending force influence coefficient
and (E) establishing a deformation coordination equation set of the roller system of the specific frame of the four-roller CVC hot rolling mill set based on the roller system elastic deformation and metal plastic deformation model, and solving the equation set:
calculating to obtain a rolling force distribution value q' j ＝[317659 315870 312843 308915 304383 299504 294502 289570 284872 280544 276702 273438 270826 268922 267764 267375 267764 268922 270826 273438 276702 280544 284872 289570 294502 299504 304383 308915 312843 315870 317659 315870 312843 308915 304383 299504 294502 289570 284872 280544 276702 273438 270826 268922 267764 267375 267764 268922 270826 273438 276702 280544 284872 289570 294502 299504 304383 308915 312843 315870 317659]N, value of force distribution q between rolls j ＝[347717 328013 310846 296171 283915 273986 265125 257229 250210 243988 238495 233675 229476 225858 222785 220230 218168 216583 215459 214789 214567 214789 215459 216583 218168 220230 222785 225858 229476 233675 238495 243988 250210 257229 265125 273986 283915 296171 310846 328013 347717]N；
The outlet thickness h of a particular stand of the CVC hot rolling train is then calculated in step (F) i Deflection f of work roll wi ：
Calculating to obtain the outlet thickness h i ＝[8.1858 8.1886 8.1913 8.1937 8.1960 8.1980 8.1999 8.2016 8.2030 8.2043 8.2054 8.2063 8.2070 8.2074 8.2077 8.2078 8.2077 8.2074 8.2070 8.2063 8.2054 8.2043 8.2030 8.2016 8.1999 8.1980 8.1960 8.1937 8.1913 8.1886 8.1858]mm, deflection f of work roll wi ＝[0.0066 0.0365 0.0581 0.0715 0.0771 0.0753 0.0716 0.0664 0.0602 0.0533 0.0460 0.0387 0.0315 0.0248 0.0186 0.0132 0.0085 0.0049 0.0022 0.0005 0.0000 0.0005 0.0022 0.0049 0.0085 0.0132 0.0186 0.0248 0.0315 0.0387 0.0460 0.0533 0.0602 0.0664 0.0716 0.0753 0.0771 0.0715 0.0581 0.0365 0.0066]mm；
The front tension of a particular stand of the CVC hot rolling train is then calculated in step (G):
calculating to obtain the front tension sigma 1i ＝[6.424 6.462 6.526 6.609 6.705 6.807 6.913 7.016 7.115 7.206 7.286 7.355 7.410 7.450 7.474 7.482 7.474 7.450 7.410 7.355 7.286 7.206 7.115 7.016 6.913 6.807 6.705 6.609 6.526 6.462 6.424]MPa；
Subsequently in a step (H) of the process,
if yes, entering step (I);
subsequently, in step (I), for the roll bending force at this time, the search interval S e (70, 71) is searched, and this interval is divided into N =10 parts, and the roll nip pressure, the rolling pressure, and the strip shape at the remaining 9 points are calculated in the same manner, so that the roll nip pressure value, the rolling pressure value, and the strip shape of the specific stand of the CVC hot rolling mill train in this search interval are obtained:
the calculation results of the pressure between the rolls, the rolling force and the front tension are in the form described above, and the calculation results are not listed;
then in step (J) take α =01, β =0.1, γ =0.8, calculating a comprehensive objective function value for a particular frame roll optimization, where:
is calculated to obtain f 1 (S)＝63.8，f 2 (S)＝65.1，f 3 (S)＝0.08，F(S)＝12.954；
Subsequently, in step (K): f. of 1min (S)≤f 1 (S)≤f 1max (S)，f 2min (S)≤f 2 (S)≤f 2max (S)，f 3min (S)≤f 3 (S)≤f 3max (S) all right, entering the step (L);
then, in step (L), powell condition is satisfied, and after searching the section of the bending roll force S epsilon (70, 80), S is carried out at the time 0 =78t, f (S) =11.217, proceed to step (M);
subsequently, in a step (M), the optimal roll bending force S of the four-roll CVC unit at the moment under a specific frame is output g ＝78t。
The invention combines the equipment and process characteristics of a specific frame of an on-site four-roller CVC hot rolling unit, sets the limit setting range of the roll bending force, considers three parameters of the pressure between the rollers, the rolling pressure and the plate shape, establishes a roll bending optimization setting model, solves the model, obtains the optimal roll bending force setting value of the strip steel rolling process under a specific specification, improves the plate shape control capability under the specific frame, and brings better economic benefit for the strip steel production of the four-roller CVC hot rolling unit.
Claims (3)
1. A method for optimally setting a bending roll is characterized by comprising the following steps:
(A) Collecting equipment and technological parameters of a specific frame of a four-roller CVC hot rolling unit;
(B) Collecting relevant parameters of the strip steel;
(C) Dividing the strip into n in the transverse direction 1 Dividing the support roll into n sections along the length of the roll body 2 Expanding the generalized rolling pressure into n 2 Roll bending force deflection influence function of left and right sides
Influence function of supporting force deflection of left and right sides
Work roll deflection influence function a ij Influence function of deflection of back-up roll b ij J section of roll gap pressure q j And the j-th stage rolling pressure value q' j Wherein n is 2 ＝2n+1，n 1 =2m +1, i and j are the positions of the ith and jth sections in the number of sections divided by the support respectively, and i, j belongs to {1, 2.,. 2n +1}, and the iteration error epsilon of the shape calculation 1 Integral objective function f of pressure between rolls 1 (S), rolling pressure integrated objective function f 2 (S), a sheet-form integrated objective function f 3 (S), optimizing an integrated objective function F (S) by a specific machine frame lower bending roll and obtaining a maximum integrated objective function value F 1max 、f 2max 、f 3 Minimum integrated objective function value f 1min 、f 2min 、f 3 Optimization of the minimum value F of the comprehensive objective function for the lower bending roll of a specific frame min (S)；
(D) Given initial roll bending force S = S 0 And a search space S e (S) of the roll bending force 01 ,S 02 ) Calculating the supporting force at two ends of the supporting roll and the influence function a of the deflection of the i-section working roll and the supporting roll caused by the j-th section load ij 、b ij The influence coefficients of the left and right roll bending forces and the supporting force on the ith section of the roll are respectively
In the formula: x is the number of i 、x j The length of the roll body is respectively the ith position and the jth position divided by the supporting roll, deltax is the length of each divided roll body section, p 1 (k',x 1 ,x 2 D ') is the influence function of the load on the i-th section roll deflection, and k' is the influence functionCoefficient parameter of (2), x 1 ,x 2 The length parameters of the roll body at the ith section and the jth section of the influence function are shown, and D' is the roll diameter parameter of the influence function;
(E) Based on the roller system elastic deformation and metal plastic deformation models, establishing a deformation coordination equation set of a roller system of a specific frame of a four-roller CVC hot rolling mill set, and solving the equation set:
in the formula: beta is the rigid angle of rotation of the working roll relative to the supporting roll, S 1 ，S 2 Respectively bending forces at the left end and the right end of the working roll, and K is a flexibility coefficient of mutual flattening of the working roll and the supporting roll;
(F) Calculating the outlet thickness h of a particular stand of a CVC hot rolling train i Deflection f of work roll wi ：
In the formula: k i ' is the flattening coefficient of the ith section between the working roll and the rolled piece,
deflection of the i-th section of the upper work roll, Δ h i The thickness difference of the inlet and the outlet of the ith section;
(G) Calculating the front tension of a specific frame of the CVC hot rolling unit:
in the formula: sigma 0i For this purpose, the back tension under roll bending force, σ 1i Front tension under roll bending force for this purpose;
(H) And (3) judging:
whether or not, wherein ε 1 Calculating the error for the shape of a specific stand of the CVC hot rolling mill, if not, making
i = n-m +1,., n + m +1, proceeding to step (D); if yes, entering step (I);
(I) For a given roll force search interval Seege (S) 0 ,S 0 + 1), and dividing the interval into N parts, and calculating the pressure between the rollers, the rolling pressure and the plate shape at the other N-1 points in the same way, so as to obtain the pressure value between the rollers, the rolling pressure value and the plate shape of the specific frame of the CVC hot rolling unit in the search interval:
in the formula, q k Calculated value of inter-roll pressure for kth solution, q' k Rolling pressure calculation, σ, for the kth solution 1k Solving for the kth plate shape value;
(J) Calculating the optimized comprehensive objective function value of the bending roll of the specific frame:
in the formula: q. q.s kmax 、q kmin 、q kaver The k-th solution of the pressure array between the rolls satisfying the iteration condition comprises a maximum pressure value between the rolls, a minimum pressure value between the rolls and an average pressure value between the rolls, q' kmax 、q' kmin 、q' kaver Respectively the maximum rolling pressure value, the minimum rolling pressure value and the average rolling pressure value in the kth rolling pressure array solution meeting the iteration condition, sigma 1kmax 、σ 1kmin 、σ 1kaver Respectively obtaining a maximum plate shape value, a minimum plate shape value and an average plate shape value in the kth plate shape array solution meeting the iteration condition, wherein alpha, beta and gamma are weighting coefficients, and N represents that N solutions meeting the iteration condition are totally obtained;
(K) And (3) judging: f. of 1min (S)≤f 1 (S)≤f 1max (S)，f 2min (S)≤f 2 (S)≤f 2max (S)，f 3min (S)≤f 3 (S)≤f 3max (S) if true, if false, let S 0 ＝S 0 +1 to step (D), and if yes, to step (L);
(L) establishing Powell conditions, and judging: f (S) < F min (S) if true, if false, let S 0 ＝S 0 +1 to step (D), if true, to step (M);
in the formula, S 02 ，S 01 Respectively the upper limit and the lower limit of the roller bending force searching interval;
(M) outputting the optimal roll bending force S of the four-roll CVC unit under the specific frame at the moment g ＝S 0 ；
In the formula, S g And the optimal roll bending force set value under the working condition of the specific frame of the four-roll CVC hot rolling unit is obtained.
2. The method for optimally setting the bending roll according to claim 1, wherein the method comprises the following steps: in the step (A), the equipment and process parameters of the special stand of the four-roller CVC hot rolling mill group comprise the diameter D of the supporting roller b Diameter of work roll D w Initial average value of front tension and rear tension
Total rolling pressure q at a specific stand r Length L of the roll body of the supporting roll b Coefficient of influence k of front and rear tensile stresses on rolling force r Difference of roll diameters of upper and lower rolls Delta D i Moment of inertia I of work and back-up rolls w 、I b Constant k =10/9, work roll influence function coefficient k 1 Coefficient of influence function k of back-up roll 2 Moment arm of bending force
And arm of supporting force
Division of tension value before useCloth represents the distribution of the plate shape.
3. The method for optimally setting the bending roll according to claim 1, wherein the method comprises the following steps: in the step (B), the relevant parameters of the strip steel comprise the elastic modulus E of the strip steel, the Poisson ratio v of the strip steel, the width B of the strip steel, the deformation resistance sigma of the strip steel, the average value H of the strip steel inlet thickness, the average value H of the outlet thickness and the thickness distribution value H of the strip steel incoming material inlet under the specific frame i 。
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| CN115971258B (en) * | 2023-03-20 | 2023-05-16 | 山西建龙实业有限公司 | Control method for strip shape and convexity of hot continuous strip mill |
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