CN113042571B - Method for optimizing tension and elongation of single-rack leveling unit - Google Patents

Method for optimizing tension and elongation of single-rack leveling unit Download PDF

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CN113042571B
CN113042571B CN202110340488.2A CN202110340488A CN113042571B CN 113042571 B CN113042571 B CN 113042571B CN 202110340488 A CN202110340488 A CN 202110340488A CN 113042571 B CN113042571 B CN 113042571B
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strip
elongation
value
tension
roll
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CN113042571A (en
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刘靖宝
邝霜
白振华
刘春雨
王朝
张�杰
田秀刚
冯晓勇
谷田
刘丽萍
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Yanshan University
Tangshan Iron and Steel Group Co Ltd
HBIS Co Ltd Tangshan Branch
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Yanshan University
Tangshan Iron and Steel Group Co Ltd
HBIS Co Ltd Tangshan Branch
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21D—WORKING OR PROCESSING OF SHEET METAL OR METAL TUBES, RODS OR PROFILES WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21D1/00—Straightening, restoring form or removing local distortions of sheet metal or specific articles made therefrom; Stretching sheet metal combined with rolling
    • B21D1/05—Stretching combined with rolling
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • 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
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/48—Tension control; Compression control

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Abstract

The invention relates to a method for optimizing the tension and the elongation of a single-frame temper mill, belonging to the technical field of cold rolling. The technical scheme of the invention is as follows: summarizing production parameters of a single-rack leveling unit, and calculating an optimal front and rear tension distribution state of the unit by integrating various factors; taking the shape of the outlet strip and the slip factor as a target function, and controlling the actual elongation and the set elongation within a certain range as constraint conditions; setting initial front and back tension and elongation, and obtaining production parameters meeting plate shape control and rolling stability through multiple iterations, and meeting the requirements of two important indexes. The invention has the beneficial effects that: compared with the conventional manual adjustment and plate shape feedback adjustment methods, the tension calculation and setting method is closer to the reality, better meets the requirements of field production, and can further improve the plate shape.

Description

Method for optimizing tension and elongation of single-rack leveling unit
Technical Field
The invention relates to a method for optimizing tension and elongation, and belongs to the technical field of cold rolling.
Background
The leveling treatment plays a very important role in the production process of cold-rolled strips, a single-rack leveling unit is mainly used for leveling and rolling cold-rolled annealed coils, and the mechanical properties and the surface quality of annealed strip steel do not meet the index requirements yet, so the leveling process is needed to improve the strip shape and the mechanical properties of the strip steel.
In the process of temper rolling of the strip steel, the quality of the plate shape is influenced by a plurality of factors, wherein the stability of the rolling process is seriously damaged by the slipping condition in the rolling process, so that the fluctuation of parameters such as rolling force, tension and the like further induces the risks of roller tightening, strip breakage and the like. The method is particularly important for rolling high-quality strip steel by reasonably avoiding or forecasting the slipping condition, and the slipping condition of the rolling mill can be accurately forecasted and the strip shape of the strip steel can be obviously improved by accurately regulating and controlling the production data of a specific unit.
The tension setting of the unit is controlled according to experience in the production process of the strip steel, so that the tension setting is not accurate enough, the optimal plate shape under a certain production condition cannot be realized, and the accurate setting method of the tension of the leveling unit also tightly influences the regulation and control of the plate shape. At present, the related rolling process research of the temper mill set is relatively mature abroad, the whole layout and design of the process flow is broken through domestically, and only in the key field, an innovative method and practical experience are still lacked. In addition, there is no key method and guiding suggestion in the foreign literature, so it is necessary to perform deep research and multiple tests in the fields such as accurate tension optimization setting, rolling stability and elongation optimization under strip shape control conditions, deeply analyze the influencing factors among the parameters, innovate a method on the basis of the goal of improving the strip shape of the strip steel, and combine actual production information to provide a tension and elongation optimization method with the goal of rolling stability and strip shape control, so as to finally realize optimization and promotion of the field strip steel flattening process.
Disclosure of Invention
The invention aims to provide a method for optimizing the tension and the elongation of a single-rack leveling unit, which is characterized in that the optimal front and rear tension distribution state of the unit is calculated by summarizing the production parameters of the leveling unit and integrating various factors; fully considering the equipment and process characteristics of a single-frame temper mill, taking the shape and the slip factor of the outlet strip as a target function, and controlling the actual elongation and the set elongation within a certain range as constraint conditions; the method has the advantages that the method can obtain production parameters meeting the requirements of plate shape control and rolling stability through setting initial front and back tension and elongation and multiple iterations, meets the requirements of two important indexes, has important guiding significance on field production, is closer to reality in tension calculation and setting methods compared with conventional manual adjustment and plate shape feedback adjustment methods, meets the requirements of field production, can further improve the plate shape, and effectively solves the problems in the background technology.
The technical scheme of the invention is as follows: a method for optimizing the tension and the elongation of a single-frame temper mill set comprises the following steps:
(a) Collecting the equipment characteristic parameters of the single-rack leveling unit;
(b) Collecting the key rolling process parameters of the strip to be comprehensively set as the parameters of the metal model, and mainly comprising the following steps of: transverse thickness distribution H of incoming stripiElongation epsilon of strip, rolling speed V, and front-rear tension T of strip0、T1Outlet thickness h of strip1Diameter D of work rolls, width B of strip and yield limit sigma of strips。
(c) Collecting process characteristic parameters, which mainly comprises the following steps: maximum allowed plate SHAPE SHAPE; maximum and minimum values of elongation εmax，εmin；
(d) Setting the roll bending force to a ground state;
(e) Before definitionInitial value of tension T01Initial value of post-tension T00And an elongation set value epsilon;
(f) Calculating the actual elongation rate value epsilon under the current working condition*；
(g) Calculating the actual elongation rate value epsilon under the current working condition*Deviation from elongation set value ε
Figure GDA0003809172310000031
If the absolute value of the deviation is less than 1% of the set elongation value, immediately entering the step (h), otherwise, returning to the step (e) and adjusting the set elongation value epsilon;
(h) Calculating the rolling pressure P under the current working condition, wherein P = f.L; wherein f is a unit rolling force,
Figure GDA0003809172310000032
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure GDA0003809172310000033
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a·lg 1000·e)-(k1·T1+k2·T0) D is the diameter of the work roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
(i) Calculating the transverse distribution of front tension of the finished strip under the condition of determining the incoming material; the front tension lateral profile can be expressed as:
Figure GDA0003809172310000034
wherein σ1(x) For the unit tension, σ, of each point in the transverse direction of the strip1Based on the total tension on the exit side, B is the strip width->
Figure GDA0003809172310000041
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure GDA0003809172310000042
The average thickness of the entrance of the strip is, H (x) is the transverse distribution of the thickness of the web entry and>
Figure GDA0003809172310000043
the length average value of the incoming material plate shape is shown, L (x) is a length transverse distribution value of the incoming material plate shape, and delta u' is a transverse distribution function of the transverse displacement increment of the strip material;
(j) Calculating the plate shape value I of the outlet of the balance unit under the current rolling pressure,
Figure GDA0003809172310000044
E. ν is the Young's modulus and Poisson's ratio of the work roll;
(k) Constructing an objective function F (X), to
Figure GDA0003809172310000045
Wherein I is the number of transverse strip elements of the strip steel, IiTaking alpha =0.4, beta =0.3, gamma =0.3 and psi as the slip factor under the current working condition, and selecting alpha =0.4, beta =0.3 and psi as the plate shape distribution value of each strip steel in the transverse direction>
Figure GDA0003809172310000046
Wherein the working roll flattens the radius
Figure GDA0003809172310000047
Figure GDA0003809172310000048
Delta h is the reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll;
(l) Solving an extreme value, namely a minimum value, of the objective function F (X); if the result is converged, immediately entering the step (m), otherwise, returning to the step (e) to modify the initial set value of the front and rear tension;
(m) in the optimization process, when a certain function value F (X) is obtained by calculationi) And the next function value F (X)i+1) When the following relation exists between the optimal solution and the optimal solution, namely the optimal solution is obtained by stopping optimization
Figure GDA0003809172310000049
A pre-post tension set value and an elongation set value;
(n) outputting the set values of the front and rear tensions and the set values of the elongation rates which meet the conditions, and finishing the optimization process.
In the step (a), the equipment characteristic parameters of the single-rack temper mill set comprise: diameter D of working roll of frame, and original roll profile distribution value Delta D of working roll and supporting rollwi,ΔDbiLength L of working roll and supporting roll body1，L2Working roll bending cylinder distance l2Center torque of screw press1Maximum positive and negative roll bending force allowed by work roll bending roll
Figure GDA0003809172310000051
And/or>
Figure GDA0003809172310000052
Roughness Ra of working roll of frame1L kilometers of working rolls of the stand and P maximum allowable rolling force of the standmaxThe linear coefficient and the nonlinear coefficient of the inlet thickness influence of the frame strip in the outlet plate surface roughness roller copying part are respectively alphah,α′hInlet thickness influence coefficient beta of the strip material in the exit face roughness genetic part of the framehThe material influence coefficient alpha of the final frame strip in the heredity part of the surface roughness of the frame outlet and the copying partk,βkThe coefficient of influence alpha of elongation in the frame outlet plate surface roughness genetic part and the roller copying partε,βεAnd the characteristic influence parameter eta of the unit equipment1,η2。
The invention has the beneficial effects that: by summarizing the production parameters of the leveling unit, the optimal front and rear tension distribution state of the unit is calculated by integrating various factors; fully considering the equipment and process characteristics of a single-frame temper mill, taking the shape and the slip factor of the outlet strip as a target function, and controlling the actual elongation and the set elongation within a certain range as constraint conditions; the method has the advantages that the method can obtain production parameters meeting the requirements of plate shape control and rolling stability through setting initial front and back tension and elongation and multiple iterations, meets the requirements of two important indexes, has important guiding significance on field production, is closer to the reality due to the tension calculation and setting method compared with the conventional manual adjustment and plate shape feedback adjustment method, meets the requirements of field production better, and can further improve the plate shape.
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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 optimizing the tension and the elongation of a single-frame temper mill set comprises the following steps:
(a) Collecting the equipment characteristic parameters of the single-rack leveling unit;
(b) Collecting the key rolling process parameters of the strip to be comprehensively set with the metal model parameters, which mainly comprises the following steps: transverse thickness distribution H of incoming stripiElongation epsilon of strip, rolling speed V, and front-to-back tension T of strip0、T1Outlet thickness h of strip1Diameter D of the work rolls, width B of the strip and yield limit sigma of the strips。
(c) Collecting process characteristic parameters, which mainly comprises the following steps: maximum allowable plate SHAPE SHAPE; maximum and minimum values of elongationValue epsilonmax，εmin；
(d) Setting the roll bending force to a ground state;
(e) Initial tension value T before definition01Initial value of post-tension T00And an elongation set value epsilon;
(f) Calculating the actual elongation rate value epsilon under the current working condition*；
(g) Calculating the actual elongation rate value epsilon under the current working condition*Deviation from the elongation set value ε
Figure GDA0003809172310000061
If the absolute value of the deviation is less than 1% of the set value of the elongation rate, immediately entering the step (h), otherwise, returning to the step (e) and adjusting the set value epsilon of the elongation rate;
(h) Calculating rolling pressure P under the current working condition, wherein P = f · L; wherein f is a unit rolling force,
Figure GDA0003809172310000071
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure GDA0003809172310000072
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a·lg 1000·e)-(k1·T1+k2·T0) D is the diameter of the working roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
(i) Calculating the transverse distribution of front tension of the finished strip under the condition of determining the incoming material; the front tension lateral profile can be expressed as:
Figure GDA0003809172310000073
wherein σ1(x) Is composed ofUnit tension, sigma, of the exit strip at each transverse point1Based on the total tension on the exit side, B is the strip width->
Figure GDA0003809172310000074
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure GDA0003809172310000075
The average thickness of the entrance of the strip is, H (x) is the transverse distribution of the thickness of the web entry and>
Figure GDA0003809172310000076
the length average value of the incoming material plate shape is represented, L (x) is a length transverse distribution value of the incoming material plate shape, and delta u' is a transverse distribution function of the transverse displacement increment of the strip material;
(j) Calculating the plate shape value I of the outlet of the balance unit under the current rolling pressure,
Figure GDA0003809172310000077
E. nu is the Young modulus and the Poisson ratio of the working roll;
(k) Constructing an objective function F (X), to
Figure GDA0003809172310000078
Wherein I is the number of transverse strip elements of the strip steel, IiFor the strip shape distribution value of each strip element in the transverse direction of the strip steel, alpha, beta and gamma are weighting coefficients, wherein alpha =0.4, beta =0.3, gamma =0.3 and psi is taken as a slip factor under the current working condition, and the value is based on the value of the strip shape distribution of each strip element in the transverse direction of the strip steel>
Figure GDA0003809172310000081
Wherein the working roll flattens the radius
Figure GDA0003809172310000082
Figure GDA0003809172310000083
Delta h is the rolling reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll; />
(l) Solving an extreme value, namely a minimum value, of the objective function F (X); if the result is converged, immediately entering the step (m), otherwise, returning to the step (e) to modify the initial set value of the front and rear tension;
(m) in the optimization process, when a certain function value F (X) is obtained by calculationi) And the next function value F (X)i+1) When the following relation exists between the optimal solution and the optimal solution, namely the optimal solution is obtained by stopping optimization
Figure GDA0003809172310000084
A pre-post tension set value and an elongation set value;
(n) outputting the front and rear tension set value and the elongation set value which meet the conditions, and finishing the optimization process.
In the step (a), the equipment characteristic parameters of the single-rack temper mill set comprise: diameter D of working roll of frame, and original roll profile distribution value Delta D of working roll and supporting rollwi,ΔDbiLength L of working roll and supporting roll body1，L2Working roll bending cylinder distance l2Center moment l of screw pressed down1Maximum positive and negative roll bending force allowed by work roll bending roll
Figure GDA0003809172310000085
And/or>
Figure GDA0003809172310000086
Roughness Ra of working roller of frame1L kilometers of working rolls of the stand and P maximum allowable rolling force of the standmaxThe linear coefficient and the nonlinear coefficient of the inlet thickness influence of the frame strip in the outlet plate surface roughness roller copying part are respectively alphah,α′hAnd the inlet thickness influence coefficient beta of the rack strip in the rack outlet plate surface roughness genetic parthThe material influence coefficient alpha of the final frame strip in the heredity part of the surface roughness of the frame outlet and the copying partk,βkThe frame outlet plate surface roughness genetic part and coefficient of influence of elongation alpha in the roll copy sectionε,βεAnd unit equipment characteristic influence parametersη1,η2。
Of the control factors for a single stand temper mill product strip, epsilon, V, T for a particular type of temper rolling process0，,T1，h1，D，B，σsThe equal parameters are determined, and the rolling pressure depends on the steel grade and the working condition influence coefficient a0，a1μ. And the influence coefficient a of the steel grade and the working condition0，a1Mu can be found in a slip prediction model that achieves regression on a large amount of actual production data for that steel grade. The rolling pressure is thus determined by the front and rear tension, and the tension is actually optimized in the calculation of the tension. By fully considering the equipment process characteristics and actual working conditions of different temper mill sets, controlling the plate shape in the rolling process and controlling the rolling stability, and carrying out a large amount of field data regression and theoretical analysis, a tension and elongation optimization method taking the rolling stability and the plate shape control as targets is established, the influence of temper rolling process parameters is comprehensively analyzed, and a set of engineering practical tension and elongation optimization calculation method for the single-rack temper mill set is provided.
Example 1:
(a) Collect the equipment characteristic parameter of single frame leveling unit, mainly include: diameter D of working roll of frame, and original roll profile distribution value Delta D of working roll and supporting rollwi＝0,ΔDbi=0, length L of working roll and supporting roll body1＝1850mm，L2=1850mm, working roll bending cylinder spacing l1=2500mm, screw center moment l2=2500mm maximum positive roll bending force allowed for work roll bending
Figure GDA0003809172310000091
Maximum negative roll bending force and->
Figure GDA0003809172310000092
Roughness Ra of working roller of frame1=2.5 μm, L =0km in kilometers of stand working rolls, and the maximum allowable value of stand rolling force PmaxOutlet plate surface roughness roller composite of =8000kNThe inlet thickness of the strip in the printing section has a linear and nonlinear coefficient of influence of respectively alphah＝6.556,αh' =1.444, entrance thickness influence coefficient beta of frame strip in frame exit face roughness genetic parth=6.556, influence coefficient alpha of material of strip material of end frame in heredity part and copying part of surface roughness of outlet of framek＝2.27,βk= -4, coefficient of influence of elongation alpha in frame exit plate roughness genetic part and roll copying partε＝-127.3,βε=400, unit equipment characteristic influence parameter eta1＝0.48,η2=0.377, yield limit σ of the strips＝500Mpa。；
Subsequently, in step (b), collecting the strip key rolling process parameters to be comprehensively set as metal model parameters, which mainly comprises: transverse thickness distribution H of incoming stripi，Hi= {0.353 , 0.353 , 0.353 , 0.354 , 0.3554 , 0.354 , 0.354 , 0.354 , 0.355 , 0.355 , 0.355 , 0.355 , 0.354 , 0.354 , 0.354 , 0.354 , 0.354 , 0.354 , 0.353 , 0.353 , 0.353} , unit mm; ; Elongation epsilon of the strip =1.2%, rolling speed V =4m/s, and front-back tension T of the strip0＝35kN、T1=37kN, outlet thickness h of the strip1=0.34mm, work roll diameter D =430mm, strip width B =1500mm;
subsequently, in step (c), collecting process characteristic parameters, which mainly comprises: maximum allowable plate SHAPE SHAPE; maximum and minimum values of elongation εmax＝1.5％，εmin＝0.8％；
Subsequently, in step (d), the bending force S is set to the ground state
Figure GDA0003809172310000101
Subsequently, in step (e), a pre-tension initial value T is defined01=36.5kN, post-tension initial value T00=37.5kN, and elongation set-point ∈ =1.2%;
subsequently, in step (f), the actual value of elongation ε is calculated for the current operating mode*＝1.116％；
Subsequently, the process of the present invention,in step (g), the actual value epsilon of the elongation under the current working condition is calculated*Deviation from elongation set value ε
Figure GDA0003809172310000111
If the absolute value of the deviation is less than 1% of the set elongation value, immediately entering the step (h);
subsequently, in step (h), calculating a rolling pressure P under the current working condition, P = f · L; wherein f is a unit rolling force,
Figure GDA0003809172310000112
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure GDA0003809172310000113
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a·lg 1000·e)-(k1·T1+k2·T0) D is the diameter of the work roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
subsequently, in step (i), the front tension transverse profile of the finished strip under incoming determined conditions is calculated. The front tension lateral profile can be expressed as:
Figure GDA0003809172310000114
wherein σ1(x) For the unit tension, σ, of each point in the transverse direction of the strip1Based on the total tension on the exit side, B is the strip width->
Figure GDA0003809172310000115
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure GDA0003809172310000116
H (x) is the average thickness of the strip inlet, H (x) is the transverse distribution value of the thickness of the strip inlet,
Figure GDA0003809172310000117
the length average value of the incoming material plate shape is shown, L (x) is a length transverse distribution value of the incoming material plate shape, and delta u' is a transverse distribution function of the transverse displacement increment of the strip material;
subsequently, in step (j), calculating the balance unit outlet plate shape value I under the current rolling pressure,
Figure GDA0003809172310000121
E. ν is the Young's modulus and Poisson's ratio of the work roll;
subsequently, in step (k), an objective function F (X) is constructed, such that
Figure GDA0003809172310000122
Wherein I is the number of transverse strip elements of the strip steel, IiFor the strip shape distribution value of each strip element in the transverse direction of the strip steel, alpha, beta and gamma are weighting coefficients, wherein alpha =0.4, beta =0.3, gamma =0.3 and psi is taken as a slip factor under the current working condition, and the value is based on the value of the strip shape distribution of each strip element in the transverse direction of the strip steel>
Figure GDA0003809172310000123
Wherein the working roll presses flat radius>
Figure GDA0003809172310000124
Delta h is the rolling reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll;
then, in step (l), the extreme value, i.e. the minimum value, of the objective function F (X) is obtained, and the result converges, and then step (m) is immediately performed;
subsequently, in step (m), during the optimization, when a certain function value F (X) is calculatedi) And the next function value F (X)i+1) When the following relation exists between the optimal solution and the optimal solution, namely the optimal solution is obtained by stopping optimization
Figure GDA0003809172310000125
A tension set value before and after the time, and an elongation set value.
Finally, in step (n), the front-rear tension set value and the elongation set value satisfying the conditions are output, the front tension optimized value initial value =36.5kN, the rear tension optimized value =37.5kN, and the elongation optimized value =1.2%, and the optimization process is ended.
Example 2:
(a) Collect the equipment characteristic parameter of single frame leveling unit, mainly include: diameter D of working roll of frame, and original roll profile distribution value Delta D of working roll and supporting rollwi＝0,ΔDbi=0, length L of working roll and supporting roll body1＝1850mm，L2=1850mm, working roll bending cylinder distance l1=2500mm, screw center moment l2=2500mm maximum positive roll bending force allowed for work roll bending
Figure GDA0003809172310000131
Maximum negative roll bending force and->
Figure GDA0003809172310000132
Roughness Ra of working roller of frame1=2.5 μm, L =0km in kilometers of stand working rolls, and the maximum allowable value of stand rolling force Pmax=8000kN, and the linear coefficient and nonlinear coefficient of influence of the inlet thickness of the frame strip in the outlet plate surface roughness roller copying part are respectively alphah＝6.556,α′h=1.444, inlet thickness influence coefficient beta of rack strip in rack outlet plate roughness genetic parth=6.556, influence coefficient alpha of material of strip material of end frame in heredity part and copying part of surface roughness of outlet of framek＝2.27,βk= -4, coefficient of influence of elongation alpha in frame exit plate roughness genetic part and roll copying partε＝-127.3,βε=400, unit equipment characteristic influencing parameter η1＝0.48,η2=0.377, yield limit σ of the strips＝500Mpa。；
Subsequently, in step (b), the collection to be integratedThe key rolling technological parameters of the strip for setting the metal model parameters mainly comprise: transverse thickness distribution H of incoming stripi，Hi= {0.368 , 0.368 , 0.368 , 0.369 , 0.369 , 0.369 , 0.369 , 0.369 , 0.370 , 0.370 , 0.370 , 0.370 , 0.369 , 0.369 , 0.369 , 0.369 , 0.369 , 0.369 , 0.368 , 0.368 , 0.368} , unit mm; ; Elongation epsilon of the strip =1.28%, rolling speed V =4m/s, and front-back tension T of the strip0＝37kN、T1=38kN, outlet thickness h of the strip1=0.34mm, work roll diameter D =430mm, strip width B =1500mm;
subsequently, in step (c), collecting process characteristic parameters, which mainly include: maximum allowable plate SHAPE SHAPE; maximum and minimum values of elongation εmax＝1.5％，εmin＝1.0％；
Subsequently, in step (d), the bending force S is set to the ground state
Figure GDA0003809172310000141
Subsequently, in step (e), a pre-tension initial value T is defined01=36.5kN, post-tension initial value T00=37.5kN, and elongation set-point ∈ =1.25%;
subsequently, in step (f), the actual value of elongation ε is calculated for the current operating mode*＝1.241％；
Subsequently, in step (g), the actual value of the elongation ε is calculated under the current operating conditions*Deviation from elongation set value ε
Figure GDA0003809172310000142
If the absolute value of the deviation is less than 1% of the elongation set value, immediately entering step (h); />
Subsequently, in step (h), calculating the rolling pressure P under the current working condition, P = f · L; wherein f is a unit rolling force,
Figure GDA0003809172310000143
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure GDA0003809172310000144
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a′lg1000′e)-(k1·T1+k2·T0) D is the diameter of the work roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
subsequently, in step (i), the front tension transverse profile of the finished strip under incoming determined conditions is calculated. The front tension lateral profile can be expressed as:
Figure GDA0003809172310000145
wherein σ1(x) For the unit tension, σ, of each point in the transverse direction of the strip1Based on the total tension on the outlet side, B based on the width of the strip, based on the ratio of the sum of the tension on the outlet side and the sum of the tension on the outlet side, based on the width of the strip>
Figure GDA0003809172310000151
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure GDA0003809172310000152
Is the average thickness of the strip entrance, H (x) is the transverse thickness distribution of the strip entrance, and>
Figure GDA0003809172310000153
the length average value of the incoming material plate shape is shown, L (x) is a length transverse distribution value of the incoming material plate shape, and delta u' is a transverse distribution function of the transverse displacement increment of the strip material;
subsequently, in step (j), calculating the outlet plate shape value I of the balancing unit at the current rolling pressure,
Figure GDA0003809172310000154
E. v is the workerYoung's modulus and Poisson's ratio of the roller;
subsequently, in step (k), an objective function F (X) is constructed, such that
Figure GDA0003809172310000155
Wherein I is the number of transverse strip elements of the strip steel, IiFor the strip shape distribution value of each strip element in the transverse direction of the strip steel, alpha, beta and gamma are weighting coefficients, wherein alpha =0.4, beta =0.3, gamma =0.3 and psi is taken as a slip factor under the current working condition, and the value is based on the value of the strip shape distribution of each strip element in the transverse direction of the strip steel>
Figure GDA0003809172310000156
Wherein the working roll presses flat radius>
Figure GDA0003809172310000157
Delta h is the rolling reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll;
then, in step (l), the extreme value, i.e. the minimum value, of the objective function F (X) is obtained, and the result is not converged and returns to step (e);
subsequently, in step (e), a pre-tension initial value T is defined01=37.5kN, post-tension initial value T00=38.9kN, and elongation set-point ∈ =1.25%;
subsequently, in step (f), the actual value of elongation ε is calculated for the current operating mode*＝1.24％；
Subsequently, in step (g), the actual value of elongation ε is calculated for the current operating mode*Deviation from the elongation set value ε
Figure GDA0003809172310000161
If the absolute value of the deviation is less than 1% of the set value of the elongation percentage, immediately entering the step (h);
subsequently, in step (h), calculating the rolling pressure P under the current working condition, P = f · L; wherein f is a unit rolling force,
Figure GDA0003809172310000162
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure GDA0003809172310000163
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a′lg1000′e)-(k1·T1+k2·T0) D is the diameter of the work roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
subsequently, in step (i), the front tension profile of the finished strip is calculated under the conditions determined for the incoming material. The front tension lateral profile can be expressed as:
Figure GDA0003809172310000164
wherein σ1(x) For the unit tension, σ, of each point in the transverse direction of the strip1Based on the total tension on the exit side, B is the strip width->
Figure GDA0003809172310000165
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure GDA0003809172310000166
H (x) is the average thickness of the strip inlet, L is the average length value of the incoming strip shape, L (x) is the transverse length value of the incoming strip shape, and delta u' is the transverse strip displacement increment distribution function;
subsequently, in step (j), calculating the outlet plate shape value I of the balancing unit at the current rolling pressure,
Figure GDA0003809172310000171
E. ν is the Young's modulus and Poisson's ratio of the work roll;
then, in stepIn step (k), an objective function F (X) is constructed by
Figure GDA0003809172310000172
Wherein I is the number of transverse strip elements of the strip steel, IiFor the strip shape distribution value of each strip element in the transverse direction of the strip steel, alpha, beta and gamma are weighting coefficients, wherein alpha =0.4, beta =0.3, gamma =0.3 and psi is taken as a slip factor under the current working condition, and the value is based on the value of the strip shape distribution of each strip element in the transverse direction of the strip steel>
Figure GDA0003809172310000173
Wherein the working roll presses flat radius>
Figure GDA0003809172310000174
Delta h is the reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll;
then, in step (l), the extreme value, i.e. the minimum value, of the objective function F (X) is obtained, the result converges, and the step (m) is entered;
subsequently, in step (m), during the optimization, when a certain function value F (X) is calculatedi) And the next function value F (X)i+1) When the following relation exists between the optimal solution and the optimal solution, namely the optimal solution is obtained by stopping optimization
Figure GDA0003809172310000175
A tension set value before and after the time and an elongation set value.
Finally, in step (n), the set values of the front and rear tensions and the set values of the elongation rate satisfying the conditions are output, the initial value of the front tension is =37.5kN, the optimal value of the rear tension is =38.9kN, the optimal value of the elongation rate is =1.24%, and the optimization process is ended.
According to the invention, through summarizing the production parameters of the leveling unit, the optimal front and back tension distribution state of the unit is calculated by integrating various factors, compared with the conventional manual adjustment and plate shape feedback adjustment method, the tension calculation and setting method is closer to the reality, the requirements of field production are better met, and the plate shape can be further improved. The important innovation of the method is that the equipment and process characteristics of the single-frame temper mill are fully considered, the shape and the slip factor of the outlet strip are taken as target functions, and the actual elongation and the set elongation are controlled within a certain range and taken as constraint conditions. By setting initial front and rear tension and elongation, the production parameters meeting the plate shape control and stable rolling are obtained through multiple iterations, and meanwhile, the requirements of two important indexes are met, so that the method has important guiding significance for field production.

Claims (2)

1. A method for optimizing the tension and the elongation of a single-frame temper mill is characterized by comprising the following steps:
(a) Collecting the equipment characteristic parameters of the single-rack leveling unit;
(b) Collecting the key rolling process parameters of the strip to be comprehensively set with the metal model parameters, which mainly comprises the following steps: transverse thickness distribution H of incoming stripiElongation epsilon of strip, rolling speed V, and front-rear tension T of strip0、T1Outlet thickness h of strip1Diameter D of the work rolls, width B of the strip and yield limit sigma of the strips；
(c) Collecting process characteristic parameters, which mainly comprises the following steps: maximum allowable plate SHAPE SHAPE; maximum and minimum values of elongation εmax，εmin；
(d) Setting the roll bending force to a ground state;
(e) Initial tension value T before definition01Initial value of post-tension T00And an elongation set value epsilon;
(f) Calculating the actual elongation value epsilon under the current working condition*；
(g) Calculating the actual elongation rate value epsilon under the current working condition*Deviation from elongation set value ε
Figure FDA0003809172300000011
If the absolute value of the deviation is less than 1% of the set value of the elongation rate, immediately entering the step (h), otherwise, returning to the step (e) and adjusting the set value epsilon of the elongation rate;
(h) Calculating the rolling pressure P under the current working condition, wherein P = f.L; wherein f is a unit rolling force,
Figure FDA0003809172300000012
l is the contact arc length of the roller and the strip in the rolling deformation zone,
Figure FDA0003809172300000013
b is the strip width, a0、a1For levelling the steel grade and the coefficient of influence of the working conditions, sigmapIs equivalent deformation resistance, σp＝k3·(σs+a·lg1000·e)-(k1·T1+k2·T0) D is the diameter of the work roll, epsilon is the elongation of the strip, mu is the coefficient of friction, h0Is the strip entry thickness, e is the rate of deformation, k1、k2As a front-to-back tension weighting coefficient, k3As coefficient of influence of deformation resistance, σsIs the strip yield strength, a is the strain rate coefficient;
(i) Calculating the transverse distribution of the front tension of the finished strip under the condition of determining the incoming material; the front tension lateral profile can be expressed as:
Figure FDA0003809172300000014
wherein σ1(x) For each point unit tension, sigma, in the transverse direction of the strip to be discharged1Based on the total tension on the exit side, B is the strip width->
Figure FDA0003809172300000015
Is the average thickness of the strip outlet, h (x) is the transverse distribution of the thickness of the strip outlet, and/or>
Figure FDA0003809172300000021
Is the average thickness of the strip entrance, H (x) is the transverse thickness distribution of the strip entrance, and>
Figure FDA0003809172300000022
the length average value of the incoming material plate shape is represented, L (x) is a length transverse distribution value of the incoming material plate shape, and delta u' is a transverse distribution function of the transverse displacement increment of the strip material;
(j) Calculating the plate shape value I of the outlet of the balance unit under the current rolling pressure,
Figure FDA0003809172300000023
E. ν is the Young's modulus and Poisson's ratio of the work roll;
(k) Constructing an objective function F (X), to
Figure FDA0003809172300000024
Wherein I is the number of transverse strip elements of the strip steel, IiFor the strip shape distribution value of each strip element in the transverse direction of the strip steel, alpha, beta and gamma are weighting coefficients, wherein alpha =0.4, beta =0.3, gamma =0.3 and psi is taken as a slip factor under the current working condition, and the value is based on the value of the strip shape distribution of each strip element in the transverse direction of the strip steel>
Figure FDA0003809172300000025
Wherein the working roll presses flat radius>
Figure FDA0003809172300000026
Figure FDA0003809172300000027
Delta h is the rolling reduction, R is the radius of the working roll, and E and nu are the Young modulus and Poisson ratio of the working roll;
(l) Solving an extreme value, namely a minimum value, of the objective function F (X); if the result is converged, immediately entering the step (m), otherwise, returning to the step (e) to modify the initial set value of the front and rear tension;
(m) in the optimization process, when a certain function value F (X) is obtained by calculationi) And the next function value F (X)i+1) When the following relation exists between the optimal solution and the optimal solution, namely the optimal solution is obtained by stopping optimization
Figure FDA0003809172300000028
A tension set value and an elongation set value before and after the time;
(n) outputting the set values of the front and rear tensions and the set values of the elongation rates which meet the conditions, and finishing the optimization process.
2. The method of claim 1 for optimizing tension and elongation of a single frame leveler train, wherein the method comprises the steps of: in the step (a), the equipment characteristic parameters of the single-rack temper mill set comprise: diameter D of working roll of frame, and original roll profile distribution value Delta D of working roll and supporting rollwi,ΔDbiLength L of working roll and supporting roll body1，L2Working roll bending cylinder distance l2Center torque of screw press1Maximum positive and negative roll bending force allowed by work roll bending roll
Figure FDA0003809172300000029
And/or>
Figure FDA00038091723000000210
Roughness Ra of working roller of frame1L kilometers of working rolls of the stand and P maximum allowable rolling force of the standmaxThe linear coefficient and the nonlinear coefficient of the inlet thickness influence of the frame strip in the outlet plate surface roughness roller copying part are respectively alphah,α'hInlet thickness influence coefficient beta of the strip material in the exit face roughness genetic part of the framehThe material influence coefficient alpha of the final frame strip in the heredity part of the surface roughness of the frame outlet and the copying partk,βkThe coefficient of influence alpha of elongation in the frame outlet plate surface roughness genetic part and the roller copying partε,βεAnd the characteristic influence parameter eta of the unit equipment1,η2。/>
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