CN103567228B - Method for forecasting strip shape and leaning during abnormal rolling of ultrathin strip of six-roller mill - Google Patents

Abstract

A method for forecasting the strip shape and leaning during abnormal rolling of an ultrathin strip of a six-roller mill comprises the following computer-executed steps of 1, collecting main equipment and process parameters during the abnormal rolling of the six-roller mill to be forecast; 2, collecting the main rolling process parameters of a strip during the abnormal rolling; 3, determining process variables related in the forecasting process; 4, dividing units and solving an influence function; 5, forecasting the outlet strip shape and the leaning width during the abnormal rolling of the ultrathin strip; 6, outputting the outlet strip shape and the leaning width during the abnormal rolling of the ulrtatin strip, and finishing the strip shape and leaning forecasting during the abnormal rolling of the ultrathin strip of the six-roller mill. The method for forecasting the strip shape and leaning during abnormal rolling of the ultrathin strip of the six-roller mill can quantitatively forecast the outlet strip shape and the leaning condition at the roller end of work rollers when abnormal factors exist, thus providing basis for the processing on the strip shape and the leaning under the rolling condition of the ultrathin strip steel of the six-roller mill.

Description

During the abnormal rolling of a kind of six-high cluster mill strip in razor-thin plate shape be pressed against forecasting procedure

Technical field

The present invention relates to metallurgical cold rolling field, particularly during the abnormal rolling of a kind of six-high cluster mill strip in razor-thin plate shape be pressed against forecasting procedure.

Background technology

Along with market competition aggravation, user is constantly strong to the demand that belt steel thickness is thinning, requires the product that producer provides thinner.But according to the practical experience at scene, for six-high cluster mill, along with the reduction of belt steel thickness, it is more obvious that working roll roller end is pressed against phenomenon, cause the abnormal rising of draught pressure, strip flatness and gauge precision does not reach requirement, affects the quality of finished product band.In addition, owing to also existing in the operation of rolling, working roll is asymmetric with intermediate calender rolls left and right bending roller force, band also exists certain running deviation value, rolling centerline does not overlap with milling train center line, rolling equipment exists the abnormal problems such as alignment error, if now still adopt conventional prediction of plate shape model, overlap with roller central line according to rolling centerline, left and right bending roller force symmetry etc. calculates, then be difficult to the exit plate shape distribution that accurate forecast goes out band, now closed-loop control carried out to plate shape and also just lose practical significance.Like this, want to control well the surface quality of finished product band in the strip in razor-thin operation of rolling, first must set up the sufficiently high unconventional plate shape of a set of precision and be pressed against forecasting procedure.But make a general survey of domestic and international pertinent literature ^[1-6], be all be based upon on the basis of normality rolling about all achievements in research of six-high cluster mill shape models research, this obviously can not meet current production requirement.

(bibliography: [1] Lian Jiachuan, Liu Hongmin. AGC-ASC system [M]. weapon industry publishing house, 1995. [2] uncle sieve W.L. thatches. cold rolled strip steel production [M]. metallurgical industry publishing house, 1985. [3] Wang Guodongs. Wu Zhangliang. board rolling theory and practice [M]. China Railway Press, 1990. [4] Wang Guodongs. strip shape controls and Shape theory [M]. metallurgical industry publishing house, 1986. [5] Liu Hongmin. three-dimensional rolling therory and putting into practice [M]. Science Press, 1999. [6] Bai Zhenhuas. Liu Hongmin. skin pass rolling process modeling [M]. metallurgical industry publishing house, 2010.)

Summary of the invention

The object of the invention is for on-the-spot six-high cluster mill paper-thin strip abnormal operation of rolling middle outlet plate shape and be pressed against Width Prediction inaccuracy, the problem even cannot forecast, when the abnormal rolling of a kind of six-high cluster mill strip in razor-thin is provided plate shape be pressed against forecasting procedure, following three functions can be realized by the method: the exit plate shape of (1) quantitative forecast six-high cluster mill when there is the abnormal factor effects such as band sideslip, asymmetric roll shape, rolling centerline do not overlap with roller central line, asymmetric roller, asymmetric roll shifting and the situation that is pressed against of working roll roller end; (2) quantitative forecast six-high cluster mill symmetrical roller, symmetrical roll shifting, incline the normality factor effects such as roller time exit plate shape value and the situation that is pressed against of working roll roller end; (3) the exit plate shape of quantitative forecast six-high cluster mill when normality factor and abnormal combined factors effect and working roll roller end be pressed against situation.

In order to realize above object, the present invention by the following technical solutions:

During the abnormal rolling of a kind of six-high cluster mill strip in razor-thin plate shape be pressed against forecasting procedure, comprise the following step that can be performed by computer:

Capital equipment when () collects six-high cluster mill abnormal rolling a and technological parameter, mainly comprise: the left and right bending roller force of top working roll the left and right bending roller force of bottom working roll band running deviation value is δ _p; Upper intermediate roll shifting amount δ _c1, lower intermediate roll shifting amount δ _c2; The left and right bending roller force of upper intermediate calender rolls the left and right bending roller force of lower intermediate calender rolls support force suffered by upper and lower backing roll the distance of backing roll housing screw and rolling centerline the distance of rolling centerline the distance of upper and lower intermediate calender rolls roll-bending cylinder and rolling centerline the barrel length L of working roll, intermediate calender rolls, backing roll _w, L _m, L _b; The diameter D of working roll, intermediate calender rolls, backing roll _w, D _m, D _b; The roll shape of upper and lower working roll, intermediate calender rolls, backing roll incline roller amount η; Rolling centerline and roller central line deviation delta;

When () collects abnormal rolling b, the main rolling technological parameter of band, mainly comprises: the initial deformation drag σ of band _s0; Resistance of deformation coefficient of intensification k _s; The supplied materials width B of band; Strip material thickness average value h ₀; Strip material thickness cross direction profiles value h _0i; The elastic modulus E of band; The Poisson's ratio v of band; Incoming profile sample length L; The length cross direction profiles value L of incoming profile _i; Reduction ratio ε; Forward and backward tension force mean value T ₀, T ₁;

C process variable involved in () definition forecasting process, mainly comprises: the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller the exit plate shape distribution shape of band _i; The roller end of upper and lower working roll is pressed against width y; Forward and backward tension force cross direction profiles σ _1i, σ _0i; Band exit thickness cross direction profiles h _1i, h _1i'; Backing roll is along body of roll segments N; Backing roll each section of width Delta x; Band is segments M in the width direction; Upper and lower backing roll dividing elements procedure parameter n; Band dividing elements procedure parameter m; Process variable i, j; Unit number n shared by band sideslip _p; The backing roll that upper intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution the backing roll that lower intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution upper and lower backing roll j section load causes the influence coefficient of i section amount of deflection the support force of the upper backup roll left and right sides is to the influence coefficient of upper backup roll i section amount of deflection the support force of the lower backing roll left and right sides is to the influence coefficient of lower backing roll i section amount of deflection upper and lower intermediate calender rolls j section load causes the influence coefficient of i section amount of deflection the bending roller force of upper intermediate calender rolls arranged on left and right sides is to the influence coefficient of upper intermediate calender rolls i section amount of deflection the bending roller force of lower intermediate calender rolls arranged on left and right sides is to the influence coefficient of lower intermediate calender rolls i section amount of deflection upper and lower working roll j section load causes the influence coefficient of i section amount of deflection the bending roller force of top working roll arranged on left and right sides is to the influence coefficient of top working roll i section amount of deflection the bending roller force of bottom working roll arranged on left and right sides is to the influence coefficient of bottom working roll i section amount of deflection broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the left and right amount of deflection distribution of top working roll the left and right amount of deflection distribution of bottom working roll the horizontal convex value of upper and lower working roll the horizontal convex value of upper and lower intermediate calender rolls the horizontal convex value of upper and lower backing roll process variable

D () breaker roll and treat that strip carries out dividing elements and calculates relative influence coefficient, mainly comprises the following steps:

D1) backing roll is divided into N decile along barrel length direction, and calculates backing roll each section of width $\mathrm{\Δx}=\frac{L_b}{N};$

D2) calculate band to be rolled segments M in the width direction, and make

D3) upper and lower backing roll dividing elements procedure parameter n is calculated; Band dividing elements procedure parameter m, and make $n=\frac{N-1}{2}.$ $m=\frac{M-1}{2};$

D4) unit number n shared by band sideslip is calculated _p, the interval change unit number of upper roller system roll force distribution the interval change unit number of lower roll system roll force distribution and make $n_{c1}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right),$ $n_{c1}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right),$ $n_{c2}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right),$ $n_{c2}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right);$

D5) difference evaluation work roller deflection coefficient intermediate calender rolls deflection coefficient backing roll deflection coefficient

E the exit plate shape in () six-high cluster mill strip in razor-thin operation of rolling and working roll roller end are pressed against Width Prediction, mainly comprise the following steps:

E1) given band exit thickness cross direction profiles initial value h _1i';

E2) the forward pull cross direction profiles value σ in the thickness cross direction profiles situation of current gateway is calculated according to flow of metal model _1i, backward pull cross direction profiles value σ _0i;

E3) according to the compatibility of deformation relation of upper and lower roll system, upper and lower work roll bending power can be provided band running deviation value is δ _p, upper and lower intermediate roll shifting amount is δ _c1, δ _c2; Upper and lower intermediate calender rolls bending roller force upper and lower backing roll support force deng the relational expression between related process and device parameter,

Wherein:

In formula: x _ibe the distance of Unit i-th to rolling centerline; ξ ₁, ξ ₂be respectively upper and lower backing roll when considering formed bits for mill roller to incline roller amount influence coefficient; coefficient is flattened between the roller being respectively upper and lower backing roll and upper and lower intermediate calender rolls, coefficient is flattened, K between the roller being respectively upper and lower working roll and upper and lower intermediate calender rolls _gyfor the broad sense between upper and lower working roll flattens coefficient, relevant with the roll gap pressure between roll;

E4) according to the stressed of upper and lower backing roll and equalising torque, corresponding equilibrium equation is provided, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x\end{array}\right.$

E5) according to the stressed of upper and lower intermediate calender rolls and equalising torque, corresponding equilibrium equation is provided, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x-F_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s+F_{\mathrm{ml}}^s{l}_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s{l}_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{2n+1}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x+F_{\mathrm{ml}}^x{l}_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x{l}_{\mathrm{mr}}^x\end{array}\right.$

E6) according to the stressed equation of upper and lower working roll, corresponding equilibrium equation is provided, as follows:

$\underset{j=1}{\overset{2n+1}{\mathrm{\Σ}}}q\left(j\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s-F_{\mathrm{wl}}^s-F_{\mathrm{wr}}^s;$

E7) according to e3)-e6) listed by 10n+9 equation, 10n+9 parameter below can be tried to achieve: broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller

E8) according to broad sense draught pressure distribution q (j), the roller end calculated between upper and lower working roll is pressed against width y;

E9) according to broad sense draught pressure distribution q (j); Upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is calculate the amount of deflection distribution of upper and lower working roll, computation model is as follows:

$\left\{\begin{array}{cc}{f}_{\mathrm{wl}}^s\left(i\right)=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& 1\≤i\≤n\\ f_{\mathrm{wl}}^s\left(i\right)=0& i=n+1\\ f_{\mathrm{wr}}^s\left(i\right)=\underset{j=n+2}{\overset{2n+1}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& n+2\≤i\≤2n+1\\ f_{\mathrm{wl}}^x\left(i\right)=\underset{j=1}{\overset{n}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& 1\≤i\≤n\\ f_{\mathrm{wl}}^x\left(i\right)=0& i=n+1\\ f_{\mathrm{wr}}^x\left(i\right)=\underset{j=n+2}{\overset{2n+1}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& n+2\≤i\≤2n+1\end{array}\right.$

E10) distribute according to the amount of deflection of upper and lower working roll calculate exit thickness cross direction profiles h _1i;

Plate shape distribution when e11) forecasting the abnormal rolling of six-high cluster mill strip in razor-thin according to outlet tension force cross direction profiles ${\mathrm{shape}}_i=\frac{\frac{T_1}{{\mathrm{Bh}}_0(1-\mathrm{\ϵ})}-{\mathrm{\σ}}_{1i}}{E}(1-v^2)\×{10}^5;$

E12) inequality is judged set up? if inequality is set up, proceed to step (f); If inequality is false, then make h _1i'= _h1i, proceeds to step e2) recalculate;

F () exports current working under, plate shape distribution shape _ibe pressed against width y, when completing the abnormal rolling of six-high cluster mill strip in razor-thin plate shape be pressed against forecast.

The present invention compared with prior art tool has the following advantages and effect:

Fully in conjunction with technique and the equipment characteristic of the rolling of six-high cluster mill paper-thin strip, and to consider in the abnormal operation of rolling of six-high cluster mill asymmetry up and down, not only quantitative forecast can go out band sideslip, asymmetric roll shape, rolling centerline does not overlap with roller central line, asymmetric roller, the abnormal factor such as asymmetric roll shifting separately or comprehensive function time milling train production board shape and working roll be pressed against to the impact of width, quantitative forecast can also go out symmetrical roller, symmetrical roll shifting, the normality factors such as roller of inclining separately or comprehensive function time production board shape and working roll be pressed against to the impact of width, for six-high cluster mill paper-thin strip rolling condition lower plate shape and the improvement of being pressed against provide foundation.

Accompanying drawing explanation

Fig. 1 is the total computing block diagram of the present invention;

Fig. 2 is that invention unit divides and relative influence coefficient calculations block diagram;

Fig. 3 is exit plate shape of the present invention and is pressed against Width Prediction computing block diagram;

Fig. 4 is upper and lower working roller curve figure in the embodiment of the present invention 1;

Fig. 5 is upper and lower intermediate calender rolls roller curve figure in the embodiment of the present invention 1;

Fig. 6 is upper and lower backing roll roller curve figure in the embodiment of the present invention 1;

Fig. 7 is strip material thickness cross direction profiles curve map in the embodiment of the present invention 1;

Fig. 8 is the length cross direction profiles value figure of incoming profile in the embodiment of the present invention 1;

Fig. 9 is band exit thickness cross direction profiles initial value in the embodiment of the present invention 1;

Figure 10 is broad sense draught pressure distribution map in the embodiment of the present invention 1;

Figure 11 is upper and lower intermediate calender rolls in the embodiment of the present invention 1, backing roll roll force distribution figure;

Figure 12 is upper and lower intermediate calender rolls in the embodiment of the present invention 1, working roll roll force distribution figure;

Figure 13 is upper and lower working roll amount of deflection scatter chart in the embodiment of the present invention 1;

Figure 14 is the embodiment of the present invention 1 middle outlet thickness cross direction profiles curve map;

Figure 15 is the embodiment of the present invention 1 middle outlet tension force cross direction profiles curve map;

Figure 16 is the embodiment of the present invention 1 middle outlet plate shape scatter chart;

Figure 17 is upper and lower working roller curve figure in the embodiment of the present invention 2;

Figure 18 is upper and lower intermediate calender rolls roller curve figure in the embodiment of the present invention 2;

Figure 19 is upper and lower backing roll roller curve figure in the embodiment of the present invention 2;

Figure 20 is strip material thickness cross direction profiles curve map in the embodiment of the present invention 2;

Figure 21 is the length cross direction profiles value figure of incoming profile in the embodiment of the present invention 2;

Figure 22 is band exit thickness cross direction profiles initial value in the embodiment of the present invention 2;

Figure 23 is broad sense draught pressure distribution map in the embodiment of the present invention 2;

Figure 24 is upper and lower intermediate calender rolls in the embodiment of the present invention 2, backing roll roll force distribution figure;

Figure 25 is upper and lower intermediate calender rolls in the embodiment of the present invention 2, working roll roll force distribution figure;

Figure 26 is upper and lower working roll amount of deflection scatter chart in the embodiment of the present invention 2;

Figure 27 is the embodiment of the present invention 2 middle outlet thickness cross direction profiles curve map;

Figure 28 is the embodiment of the present invention 2 middle outlet tension force cross direction profiles curve map;

Figure 29 is the embodiment of the present invention 2 middle outlet plate shape scatter chart.

Detailed description of the invention

Embodiment 1

When a kind of six-high cluster mill strip in razor-thin abnormal rolling shown in Fig. 1 plate shape be pressed against in the total computing block diagram of forecasting procedure, first, in step 1, capital equipment when collecting the abnormal rolling of six-high cluster mill and technological parameter, mainly comprise: the left and right bending roller force of top working roll the left and right bending roller force of bottom working roll band running deviation value is δ _p=28mm; Upper intermediate roll shifting amount δ _c1=40mm, lower intermediate roll shifting amount δ _c2=0mm; The left and right bending roller force of upper intermediate calender rolls the left and right bending roller force of lower intermediate calender rolls support force suffered by upper and lower backing roll the distance of backing roll housing screw and rolling centerline the distance of upper and lower working roll bending cylinder and rolling centerline the distance of upper and lower intermediate calender rolls roll-bending cylinder and rolling centerline the barrel length L of working roll, intermediate calender rolls, backing roll _w=1350mm, L _m=1510mm, L _b=1350mm; The diameter D of working roll, intermediate calender rolls, backing roll _w=398.76mm, D _m=503.32mm, D _b=1241.3mm; The roll shape of upper and lower working roll, intermediate calender rolls, backing roll distribution curve is as shown in accompanying drawing 4 to accompanying drawing 6; Roller amount of inclining is η=0; Rolling centerline and roller central line deviation delta=5mm;

Subsequently, in step 2, collect the main rolling technological parameter of band during abnormal rolling, mainly comprise: the initial deformation drag σ of band _s0=843MPa; Resistance of deformation coefficient of intensification k _s=1.2; Supplied materials width B=the 957mm of band; Strip material thickness average value h ₀=0.278mm; Strip material thickness cross direction profiles value h _0ias shown in Figure 7; Elastic modulus E=the 210000MPa of band; The Poisson's ratio v=0.3 of band; Incoming profile sample length L=0.5m; The length cross direction profiles value Li of incoming profile as shown in Figure 8; Reduction ratio ε=0.352; Forward and backward tension force mean value T ₀=236MPa, T ₁=55MPa;

Subsequently, in step 3, process variable involved in definition forecasting process, mainly comprises: the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller the exit plate shape distribution shape of band _i; The roller end of upper and lower working roll is pressed against width y; Forward and backward tension force cross direction profiles σ _1i, σ _0i; Band exit thickness cross direction profiles h _1i, h _1i'; Backing roll is along body of roll segments N; Backing roll each section of width Delta x; Band is segments M in the width direction; Upper and lower backing roll dividing elements procedure parameter n; Band dividing elements procedure parameter m; Process variable i, j; Unit number n shared by band sideslip _p; The backing roll that upper intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution the backing roll that lower intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution upper and lower backing roll j section load causes the influence coefficient of i section amount of deflection the support force of the upper backup roll left and right sides is to the influence coefficient of upper backup roll i section amount of deflection the support force of the lower backing roll left and right sides is to the influence coefficient of lower backing roll i section amount of deflection upper and lower intermediate calender rolls j section load causes the influence coefficient of i section amount of deflection the bending roller force of upper intermediate calender rolls arranged on left and right sides is to the influence coefficient of upper intermediate calender rolls i section amount of deflection the bending roller force of lower intermediate calender rolls arranged on left and right sides is to the influence coefficient of lower intermediate calender rolls i section amount of deflection upper and lower working roll j section load causes the influence coefficient of i section amount of deflection the bending roller force of top working roll arranged on left and right sides is to the influence coefficient of top working roll i section amount of deflection the bending roller force of bottom working roll arranged on left and right sides is to the influence coefficient of bottom working roll i section amount of deflection broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the left and right amount of deflection distribution of top working roll the left and right amount of deflection distribution of bottom working roll the horizontal convex value of upper and lower working roll the horizontal convex value of upper and lower intermediate calender rolls the horizontal convex value of upper and lower backing roll process variable

Subsequently, as shown in Figure 2, in step 4, backing roll is divided into N=65 decile along barrel length direction, and calculates backing roll each section of width

Subsequently, in steps of 5, band to be rolled segments is in the width direction calculated

Subsequently, in step 6, upper and lower backing roll dividing elements procedure parameter is calculated band dividing elements procedure parameter

Subsequently, in step 7, unit number shared by band sideslip is calculated the interval change unit number of upper roller system roll force distribution $n_{c1}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{40-\frac{1350-1510}{2}}{22.77}\right)=5.$ $n_{c1}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{40-\frac{1350-1510}{2}}{22.77}\right)=5.$ The interval change unit number of lower roll system roll force distribution $n_{c2}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{0-\frac{1350-1510}{2}}{22.77}\right)=3.$ $n_{c2}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right)=3;$

Subsequently, in step 8, difference evaluation work roller deflection coefficient intermediate calender rolls deflection coefficient backing roll deflection coefficient

Subsequently, as shown in Figure 3, in step 9, given band exit thickness cross direction profiles initial value h _1i' (distribution curve as shown in Figure 9);

Subsequently, in step 10, the forward pull cross direction profiles value σ in the thickness cross direction profiles situation of current gateway is calculated according to flow of metal model _1i, backward pull cross direction profiles value σ _0i;

Subsequently, in a step 11, according to the compatibility of deformation relation of upper and lower roll system, upper and lower work roll bending power can be provided band running deviation value is δ _p, upper and lower intermediate roll shifting amount is δ _c1, δ _c2; Upper and lower intermediate calender rolls bending roller force upper and lower backing roll support force deng the relational expression between related process and device parameter,

Wherein:

In formula: x _ibe the distance of Unit i-th to rolling centerline; ξ ₁, ξ ₂be respectively upper and lower backing roll when considering formed bits for mill roller to incline roller amount influence coefficient; coefficient is flattened between the roller being respectively upper and lower backing roll and upper and lower intermediate calender rolls, coefficient is flattened, K between the roller being respectively upper and lower working roll and upper and lower intermediate calender rolls _gyfor the broad sense between upper and lower working roll flattens coefficient, relevant with the roll gap pressure between roll;

Subsequently, in step 12, according to the stressed of upper and lower backing roll and equalising torque, corresponding equilibrium equation is provided, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x\end{array}\right.$

Subsequently, in step 13, according to the stressed of upper and lower intermediate calender rolls and equalising torque, provide corresponding equilibrium equation, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x-F_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s+F_{\mathrm{ml}}^s{l}_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s{l}_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x+F_{\mathrm{ml}}^x{l}_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x{l}_{\mathrm{mr}}^x\end{array}\right.$

Subsequently, at step 14, according to the stressed equation of upper and lower working roll, corresponding equilibrium equation is provided, as follows:

$\underset{j=1}{\overset{65}{\mathrm{\Σ}}}q\left(j\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s-F_{\mathrm{wl}}^s-F_{\mathrm{wr}}^s;$

Subsequently, in step 15, the dependent equation in combining step 11-step 14, can try to achieve 10n+9 parameter below: broad sense draught pressure distribution q (j), distribution curve is as shown in Figure 10; Upper and lower intermediate calender rolls, backing roll roll force distribution distribution curve as shown in Figure 11; Upper and lower intermediate calender rolls, working roll roll force distribution distribution curve as shown in Figure 12; The rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller ${\mathrm{\β}}_m^s={-5.599\×10}^{-5}.$ ${\mathrm{\β}}_m^x={1.861\×10}^{-5};$

Subsequently, in step 16, according to broad sense draught pressure distribution q (j), the roller end calculated between upper and lower working roll is pressed against width y=41.54mm;

Subsequently, in step 17, according to broad sense draught pressure distribution q (j); Upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is calculate the amount of deflection of upper and lower working roll, as shown in Figure 13, computation model is as follows for distribution curve:

$\left\{\begin{array}{cc}{f}_{\mathrm{wl}}^s\left(i\right)=\underset{j=1}{\overset{32}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& 1\≤i\≤32\\ f_{\mathrm{wl}}^s\left(i\right)=0& i=33\\ f_{\mathrm{wr}}^s\left(i\right)=\underset{j=34}{\overset{65}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& 34\≤i\≤65\\ f_{\mathrm{wl}}^x\left(i\right)=\underset{j=1}{\overset{32}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& 1\≤i\≤32\\ f_{\mathrm{wl}}^x\left(i\right)=0& i=33\\ f_{\mathrm{wr}}^x\left(i\right)=\underset{j=34}{\overset{65}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& 34\≤i\≤65\end{array}\right.$

Subsequently, in step 18, distribute according to the amount of deflection of upper and lower working roll calculate exit thickness cross direction profiles h _1i, distribution curve as shown in Figure 14;

Subsequently, in step 19, according to outlet tension force cross direction profiles σ _1i(as shown in Figure 15) plate shape distribution during the abnormal rolling of six-high cluster mill strip in razor-thin is forecast

Subsequently, in step 20, inequality is judged set up? obvious inequality is false, then make h _1i'=h _1i, proceed to step 10 and recalculate;

Subsequently, in step 21, under exporting current working, plate shape distribution shape _i(as shown in Figure 16) when and be pressed against width y=41.54mm, completing the abnormal rolling of six-high cluster mill strip in razor-thin plate shape be pressed against forecast.

Embodiment 2

First, in step 1, capital equipment when collecting the abnormal rolling of six-high cluster mill and technological parameter, mainly comprise: the left and right bending roller force of top working roll the left and right bending roller force of bottom working roll band running deviation value is δ _p=-30mm; Upper intermediate roll shifting amount δ _c1=-30mm, lower intermediate roll shifting amount δ _c2=30mm; The left and right bending roller force of upper intermediate calender rolls the left and right bending roller force of lower intermediate calender rolls support force suffered by upper and lower backing roll the distance of backing roll housing screw and rolling centerline the distance of upper and lower working roll bending cylinder and rolling centerline the distance of upper and lower intermediate calender rolls roll-bending cylinder and rolling centerline the barrel length L of working roll, intermediate calender rolls, backing roll _w=1350mm, L _m=1510mm, L _b=1350mm; The diameter D of working roll, intermediate calender rolls, backing roll _w=400.89mm, D _m=518.53mm, D _b=1241.3mm; The roll shape of upper and lower working roll, intermediate calender rolls, backing roll distribution curve is as shown in accompanying drawing 17 to accompanying drawing 19; Roller amount of inclining is η=0.06mm; Rolling centerline and roller central line deviation delta=0;

Subsequently, in step 2, collect the main rolling technological parameter of band during abnormal rolling, mainly comprise: the initial deformation drag σ of band _s0=825MPa; Resistance of deformation coefficient of intensification k _s=1.2; Supplied materials width B=the 836mm of band; Strip material thickness average value h ₀=0.2922mm; Strip material thickness cross direction profiles value h _0ias shown in Figure 20; Elastic modulus E=the 210000MPa of band; The Poisson's ratio v=0.3 of band; Incoming profile sample length L=0.5m; The length cross direction profiles value L of incoming profile _ias shown in Figure 21; Reduction ratio ε=0.312; Forward and backward tension force mean value T ₀=138MPa, T ₁=60MPa;

Subsequently, in step 3, process variable involved in definition forecasting process, mainly comprises: the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller the exit plate shape distribution shape of band _i; The roller end of upper and lower working roll is pressed against width y; Forward and backward tension force cross direction profiles σ _1i, σ _0i; Band exit thickness cross direction profiles h _1i, h _1i'; Backing roll is along body of roll segments N; Backing roll each section of width Delta x; Band is segments M in the width direction; Upper and lower backing roll dividing elements procedure parameter n; Band dividing elements procedure parameter m; Process variable i, j; Unit number n shared by band sideslip _p; The backing roll that upper intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution the backing roll that lower intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution upper and lower backing roll j section load causes the influence coefficient of i section amount of deflection the support force of the upper backup roll left and right sides is to the influence coefficient of upper backup roll i section amount of deflection the support force of the lower backing roll left and right sides is to the influence coefficient of lower backing roll i section amount of deflection upper and lower intermediate calender rolls j section load causes the influence coefficient of i section amount of deflection the bending roller force of upper intermediate calender rolls arranged on left and right sides is to the influence coefficient of upper intermediate calender rolls i section amount of deflection the bending roller force of lower intermediate calender rolls arranged on left and right sides is to the influence coefficient of lower intermediate calender rolls i section amount of deflection upper and lower working roll j section load causes the influence coefficient of i section amount of deflection the bending roller force of top working roll arranged on left and right sides is to the influence coefficient of top working roll i section amount of deflection the bending roller force of bottom working roll arranged on left and right sides is to the influence coefficient of bottom working roll i section amount of deflection broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the left and right amount of deflection distribution of top working roll the left and right amount of deflection distribution of bottom working roll the horizontal convex value of upper and lower working roll the horizontal convex value of upper and lower intermediate calender rolls the horizontal convex value of upper and lower backing roll process variable

Subsequently, as shown in Figure 2, in step 4, backing roll is divided into N=65 decile along barrel length direction, and calculates backing roll each section of width

Subsequently, in steps of 5, band to be rolled segments is in the width direction calculated

Subsequently, in step 6, upper and lower backing roll dividing elements procedure parameter is calculated band dividing elements procedure parameter

Subsequently, in step 7, unit number shared by band sideslip is calculated the interval change unit number of upper roller system roll force distribution $n_{c1}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{30-\frac{1350-1510}{2}}{22.77}\right)=4.$ $n_{c1}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c1}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{30-\frac{1350-1510}{2}}{22.77}\right)=4.$ The interval change unit number of lower roll system roll force distribution $n_{c2}^{\mathrm{mb}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_b-L_m}{2}}{\mathrm{\Δx}}\right)=\mathrm{int}\left(\frac{30-\frac{1350-1510}{2}}{22.77}\right)=4.$ $n_{c2}^{\mathrm{mw}}=\mathrm{int}\left(\frac{\left|{\mathrm{\δ}}_{c2}\right|-\frac{L_w-L_m}{2}}{\mathrm{\Δx}}\right)=4;$

Subsequently, in step 8, difference evaluation work roller deflection coefficient intermediate calender rolls deflection coefficient backing roll deflection coefficient

Subsequently, as shown in Figure 3, in step 9, given band exit thickness cross direction profiles initial value h _1i' (distribution curve as shown in Figure 22);

Subsequently, in step 10, the forward pull cross direction profiles value σ in the thickness cross direction profiles situation of current gateway is calculated according to flow of metal model _1i, backward pull cross direction profiles value σ _0i;

Subsequently, in a step 11, according to the compatibility of deformation relation of upper and lower roll system, upper and lower work roll bending power can be provided band running deviation value is δ _p, upper and lower intermediate roll shifting amount is δ _c1, δ _c2; Upper and lower intermediate calender rolls bending roller force upper and lower backing roll support force deng the relational expression between related process and device parameter,

Wherein:

In formula: x _ibe the distance of Unit i-th to rolling centerline; ξ ₁, ξ ₂be respectively upper and lower backing roll when considering formed bits for mill roller to incline roller amount influence coefficient; coefficient is flattened between the roller being respectively upper and lower backing roll and upper and lower intermediate calender rolls, coefficient is flattened, K between the roller being respectively upper and lower working roll and upper and lower intermediate calender rolls _gyfor the broad sense between upper and lower working roll flattens coefficient, relevant with the roll gap pressure between roll;

Subsequently, in step 12, according to the stressed of upper and lower backing roll and equalising torque, corresponding equilibrium equation is provided, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mb}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x\end{array}\right.$

Subsequently, in step 13, according to the stressed of upper and lower intermediate calender rolls and equalising torque, provide corresponding equilibrium equation, as follows:

$\left\{\begin{array}{c}\underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)=F_{\mathrm{bl}}^x+F_{\mathrm{br}}^x-F_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^s\left(i\right)x\left(i\right)=F_{\mathrm{br}}^s{l}_{\mathrm{br}}^s-F_{\mathrm{bl}}^s{l}_{\mathrm{bl}}^s+F_{\mathrm{ml}}^s{l}_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s{l}_{\mathrm{mr}}^s\\ \underset{i=1}{\overset{65}{\mathrm{\Σ}}}{q}_{\mathrm{mw}}^x\left(i\right)x\left(i\right)=F_{\mathrm{br}}^x{l}_{\mathrm{br}}^x-F_{\mathrm{bl}}^x{l}_{\mathrm{bl}}^x+F_{\mathrm{ml}}^x{l}_{\mathrm{ml}}^x-F_{\mathrm{mr}}^x{l}_{\mathrm{mr}}^x\end{array}\right.$

Subsequently, at step 14, according to the stressed equation of upper and lower working roll, corresponding equilibrium equation is provided, as follows:

$\underset{j=1}{\overset{65}{\mathrm{\Σ}}}q\left(j\right)=F_{\mathrm{bl}}^s+F_{\mathrm{br}}^s-F_{\mathrm{ml}}^s-F_{\mathrm{mr}}^s-F_{\mathrm{wl}}^s-F_{\mathrm{wr}}^s;$

Subsequently, in step 15, the dependent equation in combining step 11-step 14, can try to achieve 10n+9 parameter below: broad sense draught pressure distribution q (j), distribution curve is as shown in Figure 23; Upper and lower intermediate calender rolls, backing roll roll force distribution distribution curve as shown in Figure 24; Upper and lower intermediate calender rolls, working roll roll force distribution distribution curve as shown in Figure 25; The rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller ${\mathrm{\β}}_m^s={-5.833\×10}^{-5}.$ ${\mathrm{\β}}_m^x={2.614\×10}^{-5};$

Subsequently, in step 16, according to broad sense draught pressure distribution q (j), the roller end calculated between upper and lower working roll is pressed against width y=0mm;

Subsequently, in step 17, according to broad sense draught pressure distribution q (j); Upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is calculate the amount of deflection of upper and lower working roll, as shown in Figure 26, computation model is as follows for distribution curve:

$\left\{\begin{array}{cc}{f}_{\mathrm{wl}}^s\left(i\right)=\underset{j=1}{\overset{32}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& 1\≤i\≤32\\ f_{\mathrm{wl}}^s\left(i\right)=0& i=33\\ f_{\mathrm{wr}}^s\left(i\right)=\underset{j=34}{\overset{65}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^s\left(j\right)-q\left(j\right)]G_w^s(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^s\left(i\right)+{\mathrm{\β}}_w^s{x}_i& 34\≤i\≤65\\ f_{\mathrm{wl}}^x\left(i\right)=\underset{j=1}{\overset{32}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wl}}{G}_{\mathrm{Fwl}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& 1\≤i\≤32\\ f_{\mathrm{wl}}^x\left(i\right)=0& i=33\\ f_{\mathrm{wr}}^x\left(i\right)=\underset{j=34}{\overset{65}{\mathrm{\Σ}}}[q_{\mathrm{mw}}^x\left(j\right)-q\left(j\right)]G_w^x(i,j)-F_{\mathrm{wr}}{G}_{\mathrm{Fwr}}^x\left(i\right)+{\mathrm{\β}}_w^x{x}_i& 34\≤i\≤65\end{array}\right.$

Subsequently, in step 18, distribute according to the amount of deflection of upper and lower working roll calculate exit thickness cross direction profiles h _1i, distribution curve as shown in Figure 27;

Subsequently, in step 19, according to outlet tension force cross direction profiles σ _1i(as shown in Figure 28) plate shape distribution during the abnormal rolling of six-high cluster mill strip in razor-thin is forecast

Subsequently, in step 20, inequality is judged set up? obvious inequality is false, then make h _1i'=h _1i, proceed to step 10 and recalculate;

Subsequently, in step 21, under exporting current working, plate shape distribution shape _i(as shown in Figure 29) when and be pressed against width y=0mm, completing the abnormal rolling of six-high cluster mill strip in razor-thin plate shape be pressed against forecast.

Claims (1)

1. during a six-high cluster mill strip in razor-thin abnormal rolling plate shape be pressed against forecasting procedure, described abnormal referring in the operation of rolling also exists that working roll is asymmetric with intermediate calender rolls left and right bending roller force, band also exists certain running deviation value, rolling centerline does not overlap with milling train center line, rolling equipment exists alignment error, it is characterized in that: comprise the following step performed by computer:

Capital equipment when () collects six-high cluster mill abnormal rolling a and technological parameter, mainly comprise: the left and right bending roller force of top working roll the left and right bending roller force of bottom working roll band running deviation value is δ _p; Upper intermediate roll shifting amount δ _c1, lower intermediate roll shifting amount δ _c2; The left and right bending roller force of upper intermediate calender rolls the left and right bending roller force of lower intermediate calender rolls support force suffered by upper and lower backing roll the distance of backing roll housing screw and rolling centerline the distance of upper and lower working roll bending cylinder and rolling centerline the distance of upper and lower intermediate calender rolls roll-bending cylinder and rolling centerline the barrel length L of working roll, intermediate calender rolls, backing roll _w, L _m, L _b; The diameter D of working roll, intermediate calender rolls, backing roll _w, D _m, D _b; The roll shape of upper and lower working roll, intermediate calender rolls, backing roll roller amount of inclining is η; Rolling centerline and roller central line deviation delta;

When () collects abnormal rolling b, the main rolling technological parameter of band, mainly comprises: the initial deformation drag σ of band _s0; Resistance of deformation coefficient of intensification k _s; The supplied materials width B of band; Strip material thickness average value h ₀; Strip material thickness cross direction profiles value h _0i; The elastic modulus E of band; The Poisson's ratio v of band; Incoming profile sample length L; The length cross direction profiles value L of incoming profile _i; Reduction ratio ε; Forward and backward tension force mean value T ₀, T ₁;

C process variable involved in () definition forecasting process, mainly comprises: the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller the exit plate shape distribution shape of band _i; The roller end of upper and lower working roll is pressed against width y; Forward and backward tension force cross direction profiles σ _1i, σ _0i; Band exit thickness cross direction profiles h _1i, h _1i'; Backing roll is along body of roll segments N; Backing roll each section of width Delta x; Band is segments M in the width direction; Upper and lower backing roll dividing elements procedure parameter n; Band dividing elements procedure parameter m; Process variable i, j; Unit number n shared by band sideslip _p; The backing roll that upper intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution the backing roll that lower intermediate calender rolls play causes and the interval change unit number of intermediate calender rolls, working roll and intermediate calender rolls roll force distribution upper and lower backing roll j section load causes the influence coefficient of i section amount of deflection the support force of the upper backup roll left and right sides is to the influence coefficient of upper backup roll i section amount of deflection the support force of the lower backing roll left and right sides is to the influence coefficient of lower backing roll i section amount of deflection upper and lower intermediate calender rolls j section load causes the influence coefficient of i section amount of deflection the bending roller force of upper intermediate calender rolls arranged on left and right sides is to the influence coefficient of upper intermediate calender rolls i section amount of deflection the bending roller force of lower intermediate calender rolls arranged on left and right sides is to the influence coefficient of lower intermediate calender rolls i section amount of deflection upper and lower working roll j section load causes the influence coefficient of i section amount of deflection the bending roller force of top working roll arranged on left and right sides is to the influence coefficient of top working roll i section amount of deflection the lower bending roller force making roller arranged on left and right sides is to the influence coefficient of bottom working roll i section amount of deflection broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the left and right amount of deflection distribution of top working roll the left and right amount of deflection distribution of bottom working roll the horizontal convex value of upper and lower working roll the horizontal convex value of upper and lower backing roll process variable h _i;

D () breaker roll and treat that strip carries out dividing elements and calculates relative influence coefficient, mainly comprises the following steps:

D1) backing roll is divided into N decile along barrel length direction, and calculates backing roll each section of width

D2) calculate band to be rolled segments M in the width direction, and make

D3) upper and lower backing roll dividing elements procedure parameter n is calculated; Band dividing elements procedure parameter m, and make

D4) unit number n shared by band sideslip is calculated _p, the interval change unit number of upper roller system roll force distribution the interval change unit number of lower roll system roll force distribution and make

D5) difference evaluation work roller deflection coefficient intermediate calender rolls deflection coefficient backing roll deflection coefficient

E the exit plate shape in () six-high cluster mill strip in razor-thin operation of rolling and working roll roller end are pressed against Width Prediction, mainly comprise the following steps:

E1) given band exit thickness cross direction profiles initial value h _1i';

E2) the forward pull cross direction profiles value σ in the thickness cross direction profiles situation of current gateway is calculated according to flow of metal model _1i, backward pull cross direction profiles value σ _0i;

E3) according to the compatibility of deformation relation of upper and lower roll system, upper and lower work roll bending power can be provided band running deviation value δ _p, upper and lower intermediate roll shifting amount δ _c1, δ _c2; Upper and lower intermediate calender rolls bending roller force upper and lower backing roll support force between relational expression,

Wherein:

In formula: x _ibe the distance of Unit i-th to rolling centerline; ξ ₁, ξ ₂be respectively upper and lower backing roll when considering formed bits for mill roller to incline roller amount influence coefficient; coefficient is flattened between the roller being respectively upper and lower backing roll and upper and lower intermediate calender rolls, coefficient is flattened, K between the roller being respectively upper and lower working roll and upper and lower intermediate calender rolls _gyfor the broad sense between upper and lower working roll flattens coefficient, relevant with the roll gap pressure between roll;

E4) according to the stressed of upper and lower backing roll and equalising torque, corresponding equilibrium equation is provided, as follows:

E5) according to the stressed of upper and lower intermediate calender rolls and equalising torque, corresponding equilibrium equation is provided, as follows:

E6) according to the stressed equation of upper and lower working roll, corresponding equilibrium equation is provided, as follows:

E7) according to e3)-e6) listed by 10n+9 equation, 10n+9 parameter below can be tried to achieve: broad sense draught pressure distribution q (j); Upper intermediate calender rolls, backing roll roll force distribution upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, backing roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is the rigidity corner of upper and lower intermediate calender rolls relative support roller

E8) according to broad sense draught pressure distribution q (j), the roller end calculated between upper and lower working roll is pressed against width y;

E9) according to broad sense draught pressure distribution q (j); Upper intermediate calender rolls, working roll roll force distribution lower intermediate calender rolls, working roll roll force distribution the rigidity corner of upper and lower working roll relative support roller is calculate the amount of deflection distribution of upper and lower working roll, computation model is as follows:

E10) distribute according to the amount of deflection of upper and lower working roll calculate exit thickness cross direction profiles h _1i;

Plate shape distribution when e11) forecasting the abnormal rolling of six-high cluster mill strip in razor-thin according to outlet tension force cross direction profiles

E12) inequality is judged whether set up, if inequality is set up, proceed to step (f); If inequality is false, then make h _1i'=h _1i, proceed to step e2) recalculate;

F () exports current working under, plate shape distribution shape _ibe pressed against width y, when completing the abnormal rolling of six-high cluster mill strip in razor-thin plate shape be pressed against forecast.