CN115156303B - A method for setting the amount of work roll shifting - Google Patents
A method for setting the amount of work roll shifting Download PDFInfo
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- 238000005096 rolling process Methods 0.000 claims abstract description 79
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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 relates to a method for setting the roll shifting amount of a working roll, and belongs to the technical field of hot continuous rolling methods. The technical scheme of the invention is as follows: by comprehensively considering the rolling characteristics of a four-high mill and the influence mechanism of the roll shifting amount on the strip steel plate shape, the roll shifting amount set value optimization objective function taking the strip steel optimal plate shape as the objective is established by researching the relation between the roll shifting amount set value and parameters such as inlet thickness distribution, outlet thickness distribution, strip steel optimal plate shape and the like, and the proper roll shifting amount is set. The beneficial effects of the invention are as follows: the optimal strip shape of the strip steel is obtained by setting proper roll shifting amount, the strip shape control capability of a four-high mill is improved, and the economic benefit of on-site strip steel production is improved.
Description
Technical Field
The invention relates to a method for setting the roll shifting amount of a working roll, and belongs to the technical field of hot continuous rolling methods.
Background
With the rapid development of industrial fields such as home appliances, automobiles and the like in China, the demand of customers for high-quality plate strips is continuously increased, higher requirements are put forward on the performance of strip steel and the quality of plate strips, the plate strips are one of important appearance indexes of the plate strip products, and the improvement of the plate strip accuracy has a decisive effect on improving the market competitiveness of the strip steel products. In the rolling process of the four-high mill, the adjustment of the roll shifting amount of the roll can influence the non-uniformity of the contact stress distribution of the surface of the roll and can also cause the change of the wear depth of the roll, the non-uniformity of the contact stress of the wear of the roll and the surface of the roll can directly cause the strip steel at the outlet of the mill to generate plate-shaped defects, and the reasonable setting of the roll shifting amount can lead the wear depth of the surface of the roll to be uniform so as to improve the plate shape of the strip steel surface. In addition, the variation of the roll shifting quantity can also cause the non-uniformity of the roll thermal convexity to increase so as to cause the quality of the strip steel outlet plate shape to be poor, the rolling stability of the rolling mill is adversely affected, the variation of the roll shifting quantity can also change the outlet plate shape of the rolling mill by changing the deflection of the roll, and the excessively large or excessively small roll shifting quantity is unfavorable for the production of excellent strip steel, so that how to obtain the strip steel with the excellent plate shape in the set range of the roll shifting quantity under the condition of determining other parameters becomes the key point of the current research. At present, according to the content of document retrieval, research contents at home and abroad mainly relate to the research of a roller channeling control method, a plate shape control method and a roller channeling device, and the plate shape control capability is improved by improving the roller channeling device and optimizing the roller channeling method of a working roller so as to reduce the roller wear degree and uneven contact stress during plate and strip rolling; or the intelligent optimization method is adopted to optimize the strip shape so as to improve the yield of the strip, reduce the strip wave defect, and does not study the relation between the set value of the roll shifting adjustment and the best strip shape, and does not study the set value of the roll shifting amount so as to obtain the best strip shape.
Disclosure of Invention
The invention aims to provide a setting method of the running roller quantity of a working roller, which comprehensively considers the rolling characteristics of a four-roller mill and the influence mechanism of the running roller quantity on the strip steel plate shape, establishes a roller running roller quantity set value optimization objective function taking the strip steel optimal plate shape as an objective by researching the relation between a roller running roller quantity set value, inlet thickness distribution, outlet thickness distribution, strip steel optimal plate shape and other parameters, obtains the strip steel optimal plate shape by setting proper roller running roller quantity, improves the plate shape control capability of the four-roller mill, improves the economic benefit of field strip steel production, and effectively solves the problems in the background art.
The technical scheme of the invention is as follows: a method for setting the roll shifting amount of a working roll comprises the following steps:
(A) Collecting four-high mill equipment parameters, strip parameters and rolling process parameters;
(B) Defining relevant parameters in the rolling process;
(C) Initializing a plate shape objective function value G (xi), a roll shifting amount adjusting coefficient gamma and a plate shape calculating error epsilon;
(D) Calculating an influence function based on a roll-shift influence function model The calculation model is as follows:
Wherein: x i、xj is the length of the roll body at the ith and jth positions of the support roll, deltax is the length of each section of the roll body and the strip, k 1 is the coefficient of the influence function of the working roll, the value is k 1＝4.25×10-8, deltaζ is the optimizing step length of the roll shifting amount of the roll, and the value is Deltaζ=0.01;
(E) Calculating an influence function a ij、bij of deflection change of the ith working roll and the supporting roll caused by the jth load and an influence function of left and right supporting forces on deflection change of the ith working roll and the supporting roll based on the influence function model The calculation model is as follows:
Wherein: k 2 is a coefficient of the influence function of the support roller, and the value is k 2＝3.44×10-9;
(F) The pressure value P i between the rolls and the rolling pressure value P' j of each section are calculated according to a metal plastic deformation model and a roll system elastic deformation model, and the calculation model is as follows:
Wherein: k is the coefficient of flexibility of the working roll and the supporting roll which are flattened mutually, beta is the rigid rotation angle of the working roll and the supporting roll, and beta= 0,F 1、F2 is obtained by solving and is a process function.
(G) According to the modelCalculating an inlet thickness profile and an outlet thickness profile of the strip;
Wherein: x 1 is the position of each section of plate shape divided by the incoming plate shape, x 1＝iΔx+Δx/2,K`i is the flattening coefficient between the working roll and the rolled piece, θ is the crossing angle of the working roll and the supporting roll, Δh i is the thickness difference between the inlet and the outlet of the ith section of strip steel;
(H) According to the model Calculating a plate shape optimization objective function value G (xi);
Wherein: alpha and beta are weighting coefficients, the values of alpha=0.4 and beta=0.3, G 1 (ζ) is a rolling pressure target function, G 2 (ζ) is a roller-to-roller pressure target function, G 3 (ζ) is a strip outlet thickness target function, and P av is a roller-to-roller pressure average value, wherein the formula can be P' av is calculated as the rolling pressure average, where formula can be formulatedCalculating;
(I) Judging whether the plate shape optimization objective function value G (xi) is the minimum value, if so, entering a step (J), otherwise, enabling gamma=gamma+1 to enter a step (D);
(J) According to the model Calculating the shape of the outlet strip steel;
Wherein: k r is an influence coefficient of front-back tensile stress on rolling force, and the value is k r =0.015;
(K) Judging Whether or not to do so, if not, orderStep (D) is entered, if yes, step (L) is entered;
And (L) outputting an optimal roll shifting quantity set value zeta zy and an optimal plate shape U i (zeta) of the four-high mill.
In the step (A), the four-high mill equipment parameters, the strip parameters and the rolling process parameters comprise the length L b of the supporting roll body of a specific stand, the diameter D w of the working roll of the specific stand, the diameter D b of the supporting roll, the elastic modulus and Poisson' S ratio E, v of the strip, the width b of the strip, the total rolling force P roll of the specific stand, the bending force S during strip rolling, the average value of the back tension and the front tensionThe average value H of the thickness of the strip steel inlet, the average value H of the thickness of the strip steel outlet, the deformation resistance sigma of the strip steel, the calculation error epsilon of the shape, the maximum value zeta max of roll shifting quantity, the minimum value zeta min of roll shifting quantity and the arm of left supporting force of a specific frame strip steelRight support arm of forceArm of left roll forceArm of right roll forceThe sum of the roll diameter differences of the upper and lower work rolls DeltaD i and the mill outlet thickness set point h set.
In the step (B), the relevant parameters in the rolling process are defined to include the length of the supporting roll body and the transverse segmentation of the generalized rolling pressure into 2n+1 segments, the non-zero segmentation of the rolling pressure into 2m+1 segments, so as to facilitate calculation to ensure that n 2＝2n+1、n1 =2m+1, wherein n 2 is the length of the supporting roll body and the total number of the transverse segmentation of the generalized rolling pressure, n 1 is the total number of the non-zero segmentation of the rolling pressure, two segments in the segmentation numbers are set to be i, j is {1, 2..2n+1 }, and the influence function of the roll shifting amount on deflection is set to beInfluence function a ij、bij of deflection change of ith working roll and supporting roll caused by jth load, influence function of left and right supporting force on deflection change of ith working roll and supporting rollThe method comprises the steps of a j-th section of roll-to-roll pressure value P j, a j-th section of rolling pressure value P' j, a thickness H i of each section after the outlet strip is segmented, a thickness H i of each section after the inlet strip is segmented, a front tension sigma 1i of an i-th position of the outlet strip, a rear tension sigma 0i of the i-th position of the outlet strip, a shape value U i (xi) of each section of strip after the strip is transversely segmented, a strip shape optimization objective function G (xi), a roll shifting amount of xi, a roll shifting coefficient gamma and a roll shifting optimal setting value xi zy.
The beneficial effects of the invention are as follows: by comprehensively considering the rolling characteristics of the four-high mill and the influence mechanism of the roll shifting amount on the strip steel plate shape, the relation between the roll shifting amount set value and parameters such as inlet thickness distribution, outlet thickness distribution, strip steel optimal plate shape and the like is researched, a roll shifting amount set value optimization objective function which aims at the strip steel optimal plate shape is established, the optimal plate shape of the strip steel is obtained by setting the proper roll shifting amount, the plate shape control capability of the four-high mill is improved, and the economic benefit of field strip steel production is improved.
Drawings
FIG. 1 is a general flow chart of the present invention;
FIG. 2 is an optimal plate shape curve corresponding to the optimal roll shifting amount set value in embodiment 1 of the present invention;
fig. 3 is an optimal plate shape curve corresponding to the optimal roll shifting amount set value in embodiment 2 of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more clear, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments, and it is apparent that the described embodiments are a small part of the embodiments of the present invention, but not all embodiments, and all other embodiments obtained by those skilled in the art without making creative efforts based on the embodiments of the present invention are included in the protection scope of the present invention.
A method for setting the roll shifting amount of a working roll comprises the following steps:
(A) Collecting four-high mill equipment parameters, strip parameters and rolling process parameters;
(B) Defining relevant parameters in the rolling process;
(C) Initializing a plate shape objective function value G (xi), a roll shifting amount adjusting coefficient gamma and a plate shape calculating error epsilon;
(D) Calculating an influence function based on a roll-shift influence function model The calculation model is as follows:
Wherein: x i、xj is the length of the roll body at the ith and jth positions of the support roll, deltax is the length of each section of the roll body and the strip, k 1 is the coefficient of the influence function of the working roll, the value is k 1＝4.25×10-8, deltaζ is the optimizing step length of the roll shifting amount of the roll, and the value is Deltaζ=0.01;
(E) Calculating an influence function a ij、bij of deflection change of the ith working roll and the supporting roll caused by the jth load and an influence function of left and right supporting forces on deflection change of the ith working roll and the supporting roll based on the influence function model The calculation model is as follows:
Wherein: k 2 is a coefficient of the influence function of the support roller, and the value is k 2＝3.44×10-9;
(F) The pressure value P i between the rolls and the rolling pressure value P' j of each section are calculated according to a metal plastic deformation model and a roll system elastic deformation model, and the calculation model is as follows:
Wherein: k is the coefficient of flexibility of the working roll and the supporting roll which are flattened mutually, beta is the rigid rotation angle of the working roll and the supporting roll, and beta= 0,F 1、F2 is obtained by solving and is a process function.
(G) According to the modelCalculating an inlet thickness profile and an outlet thickness profile of the strip;
Wherein: x 1 is the position of each section of plate shape divided by the incoming plate shape, x 1＝iΔx+Δx/2,K`i is the flattening coefficient between the working roll and the rolled piece, θ is the crossing angle of the working roll and the supporting roll, Δh i is the thickness difference between the inlet and the outlet of the ith section of strip steel;
(H) According to the model Calculating a plate shape optimization objective function value G (xi);
Wherein: alpha and beta are weighting coefficients, the values of alpha=0.4 and beta=0.3, G 1 (ζ) is a rolling pressure target function, G 2 (ζ) is a roller-to-roller pressure target function, G 3 (ζ) is a strip outlet thickness target function, and P av is a roller-to-roller pressure average value, wherein the formula can be P' av is calculated as the rolling pressure average, where formula can be formulatedCalculating;
(I) Judging whether the plate shape optimization objective function value G (xi) is the minimum value, if so, entering a step (J), otherwise, enabling gamma=gamma+1 to enter a step (D);
(J) According to the model Calculating the shape of the outlet strip steel;
Wherein: k r is an influence coefficient of front-back tensile stress on rolling force, and the value is k r =0.015;
(K) Judging Whether or not to do so, if not, orderStep (D) is entered, if yes, step (L) is entered;
And (L) outputting an optimal roll shifting quantity set value zeta zy and an optimal plate shape U i (zeta) of the four-high mill.
In the step (A), the four-high mill equipment parameters, the strip parameters and the rolling process parameters comprise the length L b of the supporting roll body of a specific stand, the diameter D w of the working roll of the specific stand, the diameter D b of the supporting roll, the elastic modulus and Poisson' S ratio E, v of the strip, the width b of the strip, the total rolling force P roll of the specific stand, the bending force S during strip rolling, the average value of the back tension and the front tensionThe average value H of the thickness of the strip steel inlet, the average value H of the thickness of the strip steel outlet, the deformation resistance sigma of the strip steel, the calculation error epsilon of the shape, the maximum value zeta max of roll shifting quantity, the minimum value zeta min of roll shifting quantity and the arm of left supporting force of a specific frame strip steelRight support arm of forceArm of left roll forceArm of right roll forceThe sum of the roll diameter differences of the upper and lower work rolls DeltaD i and the mill outlet thickness set point h set.
In the step (B), the relevant parameters in the rolling process are defined to include the length of the supporting roll body and the transverse segmentation of the generalized rolling pressure into 2n+1 segments, the non-zero segmentation of the rolling pressure into 2m+1 segments, so as to facilitate calculation to ensure that n 2＝2n+1、n1 =2m+1, wherein n 2 is the length of the supporting roll body and the total number of the transverse segmentation of the generalized rolling pressure, n 1 is the total number of the non-zero segmentation of the rolling pressure, two segments in the segmentation numbers are set to be i, j is {1, 2..2n+1 }, and the influence function of the roll shifting amount on deflection is set to beInfluence function a ij、bij of deflection change of ith working roll and supporting roll caused by jth load, influence function of left and right supporting force on deflection change of ith working roll and supporting rollThe method comprises the steps of a j-th section of roll-to-roll pressure value P j, a j-th section of rolling pressure value P' j, a thickness H i of each section after the outlet strip is segmented, a thickness H i of each section after the inlet strip is segmented, a front tension sigma 1i of an i-th position of the outlet strip, a rear tension sigma 0i of the i-th position of the outlet strip, a shape value U i (xi) of each section of strip after the strip is transversely segmented, a strip shape optimization objective function G (xi), a roll shifting amount of xi, a roll shifting coefficient gamma and a roll shifting optimal setting value xi zy.
Example 1:
Taking a product with the steel grade of 700L and the specification of 1550mm multiplied by 9.49mm (width multiplied by thickness) as an example, the working roll shifting amount setting method of the four-high mill with the optimal plate shape as the target is described in detail.
Firstly, four-high mill equipment parameters, strip parameters and rolling process parameters are collected in the step (A), wherein the roll length L b = 2050mm of a support roll of a specific frame, the working roll diameter D w = 800mm of the specific frame, the support roll diameter D b = 1500mm, the strip elastic modulus and Poisson ratio E = 210000MPa, v = 0.3, the strip width b = 1550mm, the total rolling force P roll = 2700t of the specific frame, the bending force S = 70t during strip rolling, and the back tension and front tension average valueThe average value H=14.3 mm of the inlet thickness of the strip steel of a specific frame, the average value h=9.49 mm of the outlet thickness, the deformation resistance sigma=154 MPa of the strip steel, the calculation error epsilon=0.001 of the shape, the maximum value zeta max =30 mm of the roll shifting quantity, the minimum value zeta min =30 mm of the roll shifting quantity and the arm of the left supporting forceRight support arm of forceArm of left roll forceArm of right roll forceThe sum ΔDi＝[-0.00053,-0.02813,-0.05243,-0.07360,-0.09175,-0.10704,-0.1196,-0.12960,-0.13715,-0.14240,-0.14550,-0.14658,-0.14580,-0.14328,-0.13918,-0.13364,-0.12679,-0.11878,-0.1097,-0.09984,-0.0892,-0.07796,-0.06627,-0.05427,-0.04211,-0.02992,-0.01784,-0.00603,0.00538,0.01626,0.02645,0.0358,0.04421,0.05150,0.05754,0.06218,0.06529,0.06672,0.06633,0.06398,0.05953], of the roller diameter differences of the upper working roller and the lower working roller is a set value h set =9.49 mm of the outlet thickness of the rolling mill;
Subsequently, in the step (B), defining that relevant parameters in the rolling process are mainly the length of the supporting roller body and the total number of transverse segments of the generalized rolling pressure, wherein the transverse segments of the generalized rolling pressure are 2n+1 segments, the value n=20, the non-zero part of the rolling pressure is 2m+1 segments, the value m=15, and n 2＝2n+1、n1 =2m+1 for convenient calculation, wherein n 2 is the length of the supporting roller body and the total number of transverse segments of the generalized rolling pressure, n 1 is the total number of total segments of the non-zero part of the rolling pressure, two segments in the number of segments are set as i, j epsilon {1,2, 2n+1}, and the influence function of the roll shifting amount on deflection is set Influence function a ij、bij of deflection change of ith working roll and supporting roll caused by jth load, influence function of left and right supporting force on deflection change of ith working roll and supporting rollThe pressure value P j between the j-th section rollers, the rolling pressure value P' j of the j-th section, the thickness H i of each section after the outlet strip is segmented, the thickness H i of each section after the inlet strip is segmented, the front tension sigma 1i of the i-th position of the outlet strip, the rear tension sigma 0i of the i-th position of the outlet strip, each section of plate shape U i (xi) after the strip is transversely segmented, the plate shape optimization objective function G (xi) of the strip, the roll shifting amount is xi, the roll shifting amount adjusting coefficient gamma and the roll shifting amount optimal setting value xi zy;
Then initializing a plate shape objective function value G (ζ) =10 3 in step (C), a roll-shifting amount adjusting coefficient γ=0, and a plate shape calculation error ε=0.01;
subsequently in step (D) calculating an influence function based on the roll-shift amount influence function model
The calculation model is as follows:
Then in step (E), calculating an influence function a ij、bij of the deflection change of the ith working roll and the supporting roll caused by the jth load and an influence function of the left and right supporting forces on the deflection change of the ith working roll and the supporting roll based on the influence function model The calculation result is an oversized data matrix, which is not displayed any more, and the calculation model is as follows:
subsequently, in step (F), the roll-to-roll pressure value Pi＝[77.40,75.36,73.69,72.40,71.47,70.88,70.32,69.77,69.25,68.75,68.28,67.84,67.44,67.07,66.74,66.46,66.22,66.04,65.90,65.82,65.80,65.82,65.90,66.04,66.22,66.46,66.74,67.07,67.44,67.84,68.28,68.75,69.25,69.77,70.32,70.88,71.47,72.40,73.69,75.36,77.40]t and the rolling pressure value P`j＝[111.67,106.72,102.12,97.86,93.95,90.39,87.19,84.33,81.81,79.64,77.81,76.32,75.16,74.34,73.84,73.68,73.84,74.34,75.16,76.32,77.81,79.64,81.81,84.33,87.19,90.39,93.95,97.86,102.12,106.72,111.67]t, of each segment are calculated from the metal plastic deformation model and the roll train elastic deformation model as follows:
The inlet thickness distribution Hi＝[14.24,14.25,14.26,14.27,14.28,14.29,14.30,14.31,14.31,14.32,14.32,14.33,14.33,14.33,14.33,14.33,14.33,14.33,14.33,14.33,14.32,14.32,14.31,14.31,14.30,14.29,14.28,14.27,14.26,14.25,14.24]mm and the outlet thickness distribution hi＝[9.45,9.46,9.47,9.47,9.48,9.48,9.49,9.49,9.50,9.50,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.50,9.50,9.49,9.49,9.48,9.48,9.47,9.47,9.46,9.45]mm, of the strip are then calculated from the model in step (G) as follows:
then in step (H) according to the model Calculating a plate shape optimization objective function value G (ζ) = 5.8024;
then in the step (I), the step (J) is entered by judging that the plate shape optimization objective function G (xi) is the minimum value;
then in step (J) according to the model Calculating the shape of the exiting strip Ui(ξ)＝[-0.43,1.06,2.46,3.75,4.93,6.01,6.98,7.84,8.60,9.25,9.81,10.26,10.61,10.86,11.01,11.05,11.01,10.86,10.61,10.26,9.81,9.25,8.60,7.84,6.98,6.01,4.93,3.75,2.46,1.06,-0.43]MPa;
Then in step (K) through judgmentIf true, entering step (L);
Finally, in the step (L), outputting an optimal roll shifting quantity set value zeta zy =8.65 mm and an optimal plate shape of the four-roller mill Ui(ξ)＝[-0.43,1.06,2.46,3.75,4.93,6.01,6.98,7.84,8.60,9.25,9.81,10.26,10.61,10.86,11.01,11.05,11.01,10.86,10.61,10.26,9.81,9.25,8.60,7.84,6.98,6.01,4.93,3.75,2.46,1.06,-0.43]MPa.
According to the method, the roll shifting quantity of the working rolls of the four-high mill is optimized and controlled, the strip steel shape is optimized on the basis of the roll shifting quantity and the strip steel shape optimizing objective function, so that the strip steel optimal shape is obtained, the optimal shape is finally obtained when the roll shifting quantity set value is zeta zy =8.65 mm and is shown in the figure 2, further calculation of a working roll shifting quantity setting method of the four-high mill with the optimal shape as a target is achieved, and the shape control capability of the four-high mill is improved.
Example 2:
taking a product with the specification of 1500mm multiplied by 8.2mm (width multiplied by thickness) as an example, the working roll shifting amount setting method of the four-high mill with the optimal plate shape as a target is described in detail.
Firstly, four-high mill equipment parameters, strip parameters and rolling process parameters are collected in the step (A), wherein the roll length L b = 2050mm of a support roll of a specific frame, the working roll diameter D w = 800mm of the specific frame, the support roll diameter D b = 1500mm, the strip elastic modulus and Poisson ratio E = 210000MPa, v = 0.3, the strip width b = 1500mm, the total rolling force P roll = 2100t of the specific frame, the bending roll force S = 80t during strip rolling, and the post tension and front tension average valueThe average value H=13.3 mm of the inlet thickness of the strip steel of a specific frame, the average value h=8.2 mm of the outlet thickness, the deformation resistance sigma=252 MPa of the strip steel, the calculation error epsilon=0.001 of the shape, the maximum value zeta max =30 mm of the roll shifting quantity, the minimum value zeta min =30 mm of the roll shifting quantity and the arm of the left supporting forceRight support arm of forceArm of left roll forceArm of right roll forceThe sum ΔDi＝[-0.00053,-0.02813,-0.05243,-0.07360,-0.09175,-0.10704,-0.1196,-0.12960,-0.13715,-0.14240,-0.14550,-0.14658,-0.14580,-0.14328,-0.13918,-0.13364,-0.12679,-0.11878,-0.1097,-0.09984,-0.0892,-0.07796,-0.06627,-0.05427,-0.04211,-0.02992,-0.01784,-0.00603,0.00538,0.01626,0.02645,0.0358,0.04421,0.05150,0.05754,0.06218,0.06529,0.06672,0.06633,0.06398,0.05953], of the roller diameter differences of the upper working roller and the lower working roller is a set value h set =8.2 mm of the outlet thickness of the rolling mill;
Subsequently, in the step (B), defining relevant parameters in the rolling process as mainly the length of the supporting roller body and the total number of transverse segments of the generalized rolling pressure, wherein the transverse segments of the generalized rolling pressure are 2n+1 segments, the value n=20, the non-zero part of the rolling pressure is 2m+1 segments, the value n=15, and n 2＝2n+1、n1 =2m+1 are conveniently calculated, n 2 is the length of the supporting roller body and the total number of transverse segments of the generalized rolling pressure, n 1 is the total number of total segments of the non-zero part of the rolling pressure, two segments in the number of segments are set as i, j epsilon {1,2, 2n+1}, and the influence function of the roll shifting amount on deflection is set Influence function a ij、bij of deflection change of ith working roll and supporting roll caused by jth load, influence function of left and right supporting force on deflection change of ith working roll and supporting rollThe pressure value P j between the j-th section rollers, the rolling pressure value P' j of the j-th section, the thickness H i of each section after the outlet strip is segmented, the thickness H i of each section after the inlet strip is segmented, the front tension sigma 1i of the i-th position of the outlet strip, the rear tension sigma 0i of the i-th position of the outlet strip, each section of plate shape U i (xi) after the strip is transversely segmented, the plate shape optimization objective function G (xi) of the strip, the roll shifting amount is xi, the roll shifting amount adjusting coefficient gamma and the roll shifting amount optimal setting value xi zy;
Then initializing a plate shape objective function value G (ζ) =10 3 in step (C), a roll-shifting amount adjusting coefficient γ=0, and a plate shape calculation error ε=0.01;
subsequently in step (D) calculating an influence function based on the roll-shift amount influence function model
The calculation model is as follows:
Then in step (E), calculating an influence function a ij、bij of the deflection change of the ith working roll and the supporting roll caused by the jth load and an influence function of the left and right supporting forces on the deflection change of the ith working roll and the supporting roll based on the influence function model The calculation result is an oversized data matrix, which is not displayed any more, and the calculation model is as follows:
Subsequently, in step (F), the roll-to-roll pressure value Pi＝[63.80,61.82,60.16,58.80,57.75,56.99,56.27,55.61,55.00,54.43,53.92,53.44,53.02,52.64,52.31,52.03,51.80,51.62,51.49,51.41,51.39,51.41,51.49,51.62,51.80,52.03,52.31,52.64,53.02,53.44,53.92,54.43,55.00,55.61,56.27,56.99,57.75,58.80,60.16,61.82,63.80]t and the rolling pressure value P`j＝[82.73,79.83,77.09,74.52,72.13,69.93,67.93,66.13,64.54,63.15,61.98,61.01,60.26,59.73,59.41,59.30,59.41,59.73,60.26,61.01,61.98,63.15,64.54,66.13,67.93,69.93,72.13,74.52,77.09,79.83,82.73]t, of each segment are calculated from the metal plastic deformation model and the roll train elastic deformation model as follows:
The inlet thickness distribution Hi＝[13.24,13.25,13.26,13.27,13.28,13.29,13.30,13.31,13.31,13.32,13.32,13.33,13.33,13.33,13.33,13.33,13.33,13.33,13.33,13.33,13.32,13.32,13.31,13.31,13.30,13.29,13.28,13.27,13.26,13.25,13.24]mm and the outlet thickness distribution hi＝[9.45,9.46,9.46,9.47,9.48,9.48,9.49,9.49,9.50,9.50,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.51,9.50,9.50,9.49,9.49,9.48,9.48,9.47,9.46,9.46,9.45]mm, of the strip are then calculated from the model in step (G) as follows:
then in step (H) according to the model Calculating a plate shape optimization objective function value
Then in the step (I), the step (J) is entered by judging that the plate shape optimization objective function G (xi) is the minimum value;
then in step (J) according to the model Calculating the shape of the exiting strip Ui(ξ)＝[-2.55,-0.89,0.67,2.14,3.50,4.76,5.90,6.92,7.83,8.62,9.29,9.83,10.26,10.57,10.75,10.81,10.75,10.57,10.26,9.83,9.29,8.62,7.83,6.92,5.90,4.76,3.50,2.14,0.67,-0.89,-2.55]MPa;
Then in step (K) through judgmentIf true, entering step (L);
Finally, in the step (L), outputting an optimal roll shifting quantity set value zeta zy =5.35 mm and an optimal plate shape of the four-roller mill Ui(ξ)＝[-2.55,-0.89,0.67,2.14,3.50,4.76,5.90,6.92,7.83,8.62,9.29,9.83,10.26,10.57,10.75,10.81,10.75,10.57,10.26,9.83,9.29,8.62,7.83,6.92,5.90,4.76,3.50,2.14,0.67,-0.89,-2.55]MPa.
According to the method, the roll shifting quantity of the working rolls of the four-high mill is optimized and controlled, the strip steel shape is optimized on the basis of the roll shifting quantity and the strip steel shape optimizing objective function, so that the strip steel optimal shape is obtained, the optimal shape is finally obtained when the roll shifting quantity set value is zeta zy =5.35 mm and is shown in the figure 3, further calculation of a working roll shifting quantity setting method of the four-high mill with the optimal shape as a target is achieved, and the shape control capability of the four-high mill is improved.
Claims (3)
1. The method for setting the roll shifting amount of the working roll is characterized by comprising the following steps of:
(A) Collecting four-high mill equipment parameters, strip parameters and rolling process parameters;
(B) Defining relevant parameters in the rolling process;
(C) Initializing a plate shape objective function value G (xi), a roll shifting amount adjusting coefficient gamma and a plate shape calculating error epsilon;
(D) Calculating an influence function based on a roll-shift influence function model The calculation model is as follows:
Wherein: x i、xj is the length of the roll body at the ith and jth positions of the support roll, deltax is the length of each section of the roll body and the strip, k 1 is the coefficient of the influence function of the working roll, the value is k 1＝4.25×10-8, deltaζ is the optimizing step length of the roll shifting amount of the roll, and the value is Deltaζ=0.01;
(E) Calculating an influence function a ij、bij of deflection change of the ith working roll and the supporting roll caused by the jth load and an influence function of left and right supporting forces on deflection change of the ith working roll and the supporting roll based on the influence function model The calculation model is as follows:
Wherein: k 2 is a coefficient of the influence function of the support roller, and the value is k 2＝3.44×10-9;
(F) The pressure value P i between the rolls and the rolling pressure value P' j of each section are calculated according to a metal plastic deformation model and a roll system elastic deformation model, and the calculation model is as follows:
wherein: k is a coefficient of flexibility of the working roll and the supporting roll which are flattened mutually, beta is a rigid corner of the working roll relative to the supporting roll, and beta= 0,F 1、F2 can be obtained through solving and is a process function;
(G) According to the model Calculating an inlet thickness profile and an outlet thickness profile of the strip;
Wherein: x 1 is the position of each section of plate shape divided by the incoming plate shape, x 1＝iΔx+Δx/2,K`i is the flattening coefficient between the working roll and the rolled piece, θ is the crossing angle of the working roll and the supporting roll, Δh i is the thickness difference between the inlet and the outlet of the ith section of strip steel;
(H) According to the model Calculating a plate shape optimization objective function value G (xi);
Wherein: alpha and beta are weighting coefficients, the values of alpha=0.4 and beta=0.3, G 1 (ζ) is a rolling pressure target function, G 2 (ζ) is a roller-to-roller pressure target function, G 3 (ζ) is a strip outlet thickness target function, and P av is a roller-to-roller pressure average value, wherein the formula can be Calculated, P a、v is the rolling pressure average, where can be formulatedCalculating;
(I) Judging whether the plate shape optimization objective function value G (xi) is the minimum value, if so, entering a step (J), otherwise, enabling gamma=gamma+1 to enter a step (D);
(J) According to the model Calculating the shape of the outlet strip steel;
Wherein: k r is an influence coefficient of front-back tensile stress on rolling force, and the value is k r =0.015;
(K) Judging Whether or not to do so, if not, orderStep (D) is entered, if yes, step (L) is entered;
And (L) outputting an optimal roll shifting quantity set value zeta zy and an optimal plate shape U i (zeta) of the four-high mill.
2. The method for setting the roll shifting amount of the working roll according to claim 1, characterized by comprising the steps of: in the step (A), the four-high mill equipment parameters, the strip parameters and the rolling process parameters comprise the length L b of the supporting roll body of a specific stand, the diameter D w of the working roll of the specific stand, the diameter D b of the supporting roll, the elastic modulus and Poisson' S ratio E, v of the strip, the width b of the strip, the total rolling force P roll of the specific stand, the bending force S during strip rolling, the average value of the back tension and the front tensionThe average value H of the thickness of the strip steel inlet, the average value H of the thickness of the strip steel outlet, the deformation resistance sigma of the strip steel, the calculation error epsilon of the shape, the maximum value zeta max of roll shifting quantity, the minimum value zeta min of roll shifting quantity and the arm of left supporting force of a specific frame strip steelRight support arm of forceArm of left roll forceArm of right roll forceThe sum of the roll diameter differences of the upper and lower work rolls DeltaD i and the mill outlet thickness set point h set.
3. The method for setting the roll shifting amount of the working roll according to claim 1, characterized by comprising the steps of: in the step (B), the relevant parameters in the rolling process are defined to include the length of the supporting roll body and the transverse segmentation of the generalized rolling pressure into 2n+1 segments, the non-zero segmentation of the rolling pressure into 2m+1 segments, so as to facilitate calculation to ensure that n 2＝2n+1、n1 =2m+1, wherein n 2 is the length of the supporting roll body and the total number of the transverse segmentation of the generalized rolling pressure, n 1 is the total number of the non-zero segmentation of the rolling pressure, two segments in the segmentation numbers are set to be i, j is {1, 2..2n+1 }, and the influence function of the roll shifting amount on deflection is set to beInfluence function a ij、bij of deflection change of ith working roll and supporting roll caused by jth load, influence function of left and right supporting force on deflection change of ith working roll and supporting rollThe method comprises the steps of a j-th section of roll-to-roll pressure value P j, a j-th section of rolling pressure value P' j, a thickness H i of each section after the outlet strip is segmented, a thickness H i of each section after the inlet strip is segmented, a front tension sigma 1i of an i-th position of the outlet strip, a rear tension sigma 0i of the i-th position of the outlet strip, a shape value U i (xi) of each section of strip after the strip is transversely segmented, a strip shape optimization objective function G (xi), a roll shifting amount of xi, a roll shifting coefficient gamma and a roll shifting optimal setting value xi zy.
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