CN1804739A - Technology for predicting and controlling surface roughness of finished plate for planishing mill - Google Patents

Abstract

The invention relates to a planisher product plate surface roughness forecast and control technology which comprises the following steps: a. establishing planisher working roller roughness and working roller initial roughness, drawing the mathematical model between the kilometers after changing the roller; b. constructing the function expression between the counter mark ratio Krs and the genetic ratio Kss; c. constructing the initial module of the planished product plate surface roughness; d. establishing the roughness forecast module of the special planisher by the on-site experiment data; e. online forecasting the product plate roughness by the plate surface roughness module; f. online controlling the product plate surface roughness.

Description

Planisher production board surface roughness Forecast And Control Technique

Technical field

The present invention relates to a kind of skin pass rolling technology, particularly a kind of production board surface roughness Forecast And Control Technique of planisher.

Background technology

Surfaceness is as one of important characteristic of smooth finished strip, deformational behavior that it not only influences the band steel drift when pressing and the outward appearance looks behind the coating, and can change the corrosion stability of material.From present quality development trend, the control of the roughness of belt steel surface has become important quality index, and is especially most important to Automobile Plate.How to set up planisher machine plate surface roughness forecasting model, the belt steel surface roughness value that produce is forecast, finally reach prior adjustment, avoid overproof emphasis and the difficult point that has become the site technology tackling key problem of roughness.Research for this respect, begun starting abroad, and some correlative study work have been done, visible document has sword to hold " research of surface smoothness influence factor in the US430 cold-rolling of steel plate process " of a benevolence, " rolling condition is to the influence of SUS430 steel surface roughness " [" sword hold a benevolence " US430 Steel Ban Leng Inter calendering To お け Ru Biao Mian Guang swamp お ょ び ヒ one ト ス ト リ one Network To and Pot The ロ one Le コ one テ イ Application グ shadow Ring " (Journal of the JSTP; 1999; 40 (457): 129-133); " SUS430 Steel plate Biao Mian Guang swamp To and ぼ す Tone Quality rolling condition shadow Ring " (Journal of the JSTP; 2000; 41 (468): 54-58)], do not mention about the content of planisher machine plate surface roughness forecast but retrieve any foreign literature as yet with the controlling models aspect.Domestic research for plate surface roughness aspect also rests on carries out the qualitative examination aspect to cold continuous rolling, and bias toward the research of others such as plate shape, main literature is seen " cold-rolled strip steel shape and surfaceness Collaborative Control " (University of Science ﹠ Technology, Beijing's journal of people such as Zhang Qingdong, 2005,27 (2): 232-234).And domestic research for planisher finished strip plate surface roughness forecasting model aspect belongs to blank, does not find any relevant document.

Summary of the invention

The plate surface roughness online forecasting and the controlling models that the purpose of this invention is to provide a kind of suitable skin pass rolling technology make the scene can realize according to the user surfaceness of rolling technological parameter with the control finished strip being adjusted in the requirement of strip surface roughness in good time.To achieve these goals, the present invention has adopted following technical scheme: the production board surface roughness Forecast And Control Technique of this planisher may further comprise the steps:

The mathematical model that concerns between the rolling milimeter number after a, foundation reflection planisher working roll roughness and working roll initial roughness, the roll change;

Set up the mathematical model that concerns between the rolling milimeter number after reflection planisher working roll roughness and working roll initial roughness, the roll change by following step:

1) with ${\mathrm{Ra}}_r=R{a}_{r0}\·e^{-B_L\·L}$ Formal construction go out the basic model framework that concerns between planisher working roll roughness and the rolling milimeter number;

In the formula: Ra _r-planisher working roll roughness;

Ra _R0-planisher working roll initial roughness;

Rolling milimeter number behind the L-work roll changing;

B _L.-working roll roughness attenuation coefficient;

2) collect one group at the scene about the rolling milimeter number L of difference _iFollowing pairing working roll roughness Ra _RiAnd corresponding work roll initial roughness Ra _R0iData;

3) given working roll roughness attenuation coefficient initial set value X ₀={ B _L' and computational accuracy ∑=0.00001;

4) with B _L', L _i, Ra _R0iThe substitution formula ${\mathrm{Ra}}_r=R{a}_{r0}\·e^{-B_L\·L},$ Obtain corresponding work roll roughness calculated value Ra _Ri';

5) calculate corresponding target function value F (X);

6) judge whether F (X)≤∑ is set up, change initial value X if be false ₀Repeat above-mentioned steps 4), 5), set up up to Rule of judgment, finish to calculate, draw the working roll roughness attenuation coefficient B of specific planisher _LAnd reflect the mathematical model that concerns between the rolling milimeter number after planisher working roll roughness and working roll initial roughness, the roll change accordingly;

B, structure impression rate K _RsWith heritability K _SsFunction expression;

C, the smooth back of structure production board surface roughness Ra _StripInitial model;

D, according to the field experiment data of specific planisher, set up the plate surface roughness forecasting model of specific planisher, set up the plate surface roughness model of specific planisher by following step:

1), collection in worksite battery of tests data, satisfy following the requirement: the supplied materials thickness of band all is h _ε, the strength of materials all is k _ε, and the total ε of drafts ₁, ε ₂..., ε _i..., ε _nN altogether, and each drafts ε _iCorresponding two the different smooth preceding inlet strip surface roughness and the value (about this point, can realize by selecting the rolling milimeter number of different working rolls) of working roll roll roughness are established it and are Ra _Ge1i, Ra _Ge2i, Ra _R1i, Ra _R2iLike this, corresponding with it, just can draw Ra by on-the-spot actual measurement _Strip11, Ra _Strip21, Ra _Strip12..., Ra _Strip1i, Ra _Striop2i..., Ra _Strip1n, Ra _Strip2nThe value that amounts to 2n belt steel surface roughness;

2) definition intermediate function G (ε), F (ε);

3) solve corresponding G (ε according to experimental data _i), F (ε _i) expression formula;

4) according to G (ε _i), F (ε _i) expression formula provide the formula that embodies of G (ε), F (ε) by the method for curve fitting;

5) capturing material intensity all is k _h, drafts all is ε _h, and band supplied materials thickness is respectively h ₁, h ₂..., h _i..., h _nSecond group of experimental data and band supplied materials thickness all be h _k, drafts all is ε _k, and the strength of materials is respectively k ₁, k ₂..., k _i..., k _nThe 3rd group of experimental data;

6) definition intermediate function G ₁(h), F ₁(h), G ₂(h), F ₂(h);

7) provide G according to the method for experimental data by curve fitting ₁(h), F ₁(h), G ₂(h), F ₂(h) the formula that embodies;

8) according to G (ε), F (ε), G ₁(h), F ₁(h), G ₂(h), F ₂(h) obtain impression rate K _RsWith heritability K _SsConcrete function expression;

9) the production board surface roughness forecasting model of the specific planisher of output.

E, according to plate surface roughness model online forecasting production board surface roughness.

Realize the forecast of production board surface roughness by following step:

1) collects the principal character parameter for the treatment of smooth band steel;

2) collect planisher working roll principal character parameter;

3) collect main skin pass rolling technological parameter;

4) calculate planisher working roll roughness;

5) with substitution planisher production board surface roughness models such as smooth band steel parameter, working roll characteristic parameter, skin pass rolling technological parameters, calculate corresponding production board surface roughness.

The On-line Control of f, production board surface roughness, press the On-line Control that following step realizes the production board surface roughness:

1) collects the plate surface roughness Ra that treats that smooth belt steel flating is preceding _Ge, major parameter such as band hardness of steel k;

2) the rolling milimeter number of working roll of rolling milimeter number L, technology rules defined (being the roll change cycle) L after the roll change of collection work roller _Max0Deng roll principal character parameter;

3) collect the demand Ra of user to finished strip plate surface roughness _StripAnd the user allows maximum extensibility ε _Max, minimum extensibility ε _MinDeng demand parameter;

4) set the initial value Ra of the initial roughness of working roll according to on-site experience _R00

5) introduce related coefficient α, β, and given initial value α=1.0, β=0;

6) make Ra _R0=Ra _R00, and rolling milimeter number is got L respectively ₁=α L _Max0, L ₂=β L _Max0(represent minimum rolling milimeter number, minimum rolling milimeter number is zero during new roller) described Model Calculation of substitution step a) goes out corresponding work roll actual capabilities minimal roughness Ra _RminWith maximal roughness Ra _Rmax

7) with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, working roll actual capabilities maximal roughness Ra _Rmax, actual capabilities minimal roughness Ra _RminAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse go out corresponding maximum extensibility ε _Max', minimum extensibility ε _Min';

8) judge inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxWhether set up simultaneously,, then continue step 10) if set up; If be false, adjust the initial set value Ra of the initial roughness of working roll _R0, repeating step 4), 5) and 6) judge and can find suitable initial roughness setting value Ra _R0y, make above-mentioned two inequality set up simultaneously, if can find then the working roll initial roughness is set at Ra _R0y, continue step 10); Initial roughness value as can't be suitable then enters step 9);

9) judge ε _Max' 〉=ε _MinWhether set up, if set up, the setting value that then reduces the working roll initial roughness is to equation ε _Min'=ε _MinSet up, progressively increase the value of β, repeating step 5 with certain step-length), 6), 7), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 10) then; If be false, the initial set value of initial roughness that then increases working roll is to equation ε _Max'=ε _MaxSet up, progressively reduce the value of α, repeating step 5 with certain step-length), 6), 7), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 10) then;

10) with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, the actual roughness Ra of working roll _rAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse goes out extensibility ε, carries out extensibility and sets.Note simultaneously, when $\mathrm{\&alpha;}<1.0$ The time, then reach α L at the rolling milimeter number of working roll _Max0The time, in time change specification or roll change; And work as $\mathrm{\&beta;}>0$ The time, the product of other specification of then should arranging production has earlier reached β L up to the rolling milimeter number of working roll _Max0The time begin to produce this plan specification product.

Objective function is defined as described in the step a:

$F\left(X\right)=\sqrt{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{Ra}}_{\mathrm{ri}}-{{\mathrm{Ra}}_{\mathrm{ri}}}^{\&prime;})}^2}$

In the formula: the n-sample number

The rate of impression described in step b K _RsWith heritability K _SsFunction expression be:

$\left\{\begin{array}{c}{K}_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)\\ K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)\end{array}\right.$

In the formula: h-the supplied materials thickness of smooth band

K-the intensity of smooth band

ε-smooth reduction ratio

The initial model expression formula of the surface roughness of formation plate described in the step c is as follows:

${\mathrm{Ra}}_{\mathrm{strip}}=K_{\mathrm{ss}}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+K_{\mathrm{rs}}\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}$

Ra in the formula _Strip-smooth back finished strip surfaceness

Ra _Ge-smooth preceding incoming band material surfaceness

The initializer of the G of intermediate function described in the steps d (ε), F (ε) is as follows:

G(ε)＝g ₁(h _ε)·g ₂(K _ε)·g(ε)

F(ε)＝f ₁(h _ε)·f ₂(k _ε)·f(ε)

G (the ε that solves described in the steps d _l), F (ε _i) expression formula as follows:

$\left\{\begin{array}{c}G\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{r2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{r2i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}2i}}\\ F\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;{\mathrm{Ra}}_{r1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{r2i}}\end{array}\right.$

The G of intermediate function described in the steps d ₁(h), F ₁(h), G ₂(h), F ₂(h) expression formula is as follows:

$\left\{\begin{array}{c}{G}_1\left(h\right)=g_2\left(k_h\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;g_1\left(h\right)\\ F_1\left(h\right)=f_2\left(k_h\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;f_1\left(h\right)\\ G_2\left(k\right)=g_1\left(h_k\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_k\right)\&CenterDot;g_2\left(k\right)\\ F_2\left(k\right)=f_1\left(h_k\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_k\right)\&CenterDot;f_2\left(k\right)\end{array}\right.$

The rate of seal described in steps d K _RsWith heritability K _SsConcrete function expression as follows:

$K_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)=\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}$

$K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}$

The surface roughness of production board described in steps d model is as follows:

${\mathrm{Ra}}_{\mathrm{strip}}=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}$

The principal character parameter of smooth band steel described in the step e comprises: belt steel surface roughness, band hardness of steel before smooth.

The working roll of planisher described in step e principal character parameter comprises: rolling milimeter number behind working roll initial roughness, the work roll changing.

The technological parameter of skin pass rolling described in the step e comprises: the skin pass rolling extensibility.

α described in the step f, the rolling scaduled coefficient of β planisher, when $\mathrm{\&alpha;}<1.0$ The time, it is rolling the specific standard product should to be arranged in the roll change initial stage; And work as $\mathrm{\&beta;}>0$ The time, then should arrange the roll change later stage rolling.

Description of drawings

By below in conjunction with the description of accompanying drawing, can further understand purpose of the present invention, feature and advantage to preferred embodiment of the present invention.

Fig. 1 is a planisher working roll roughness Model Calculation process flow diagram among the present invention;

Fig. 2 is the plate surface roughness model solution calculation flow chart of the specific planisher of a preferred embodiment of the present invention;

Fig. 3 is the planisher production board surface roughness online forecasting calculation flow chart according to a preferred embodiment of the present invention;

Fig. 4 is the planisher production board surface roughness On-line Control process flow diagram according to a preferred embodiment of the present invention;

Fig. 5 is forecast of planisher production board surface roughness and control general flow chart among the present invention

Embodiment

Embodiment 1

Can know that according to rolling therory and on-site experience for smoothing and rolling process, the plate surface roughness of finished strip mainly is to be formed by roughness and the smooth preceding hereditary partial stack of steel roughness of being with that working roll duplicates above the band steel.Wherein, the working roll roughness of duplicating belt steel surface is relevant with the roughness and the impression rate (being that the roll roughness is delivered to the ability on the band steel) of working roll itself; The roughness of band steel heredity part then is taken at the initial roughness and corresponding heritability of smooth preceding band steel before smooth.This shows, realize the online forecasting of roughness, the expression formula of obtaining impression rate and heritability is very crucial, and the present invention adopts following formula to express the surfaceness of smooth back finished strip:

Ra _strip＝K _ss·Ra _ge+K _rs·Ra _r (28)

In the formula, Ra _StripBe finished strip surfaceness, Ra _GeBe strip surface roughness before smooth, Ra _rBe the roll surface roughness of working roll in the formation process, K _SsBe the heritability of belt steel surface roughness before smooth, K _RsFor the roll roughness is delivered to the i.e. impression rate of ability on the band steel.Obviously, in the forecasting process of production board surface roughness, the surfaceness of smooth preceding band can be come out in actual measurement, is a given value, and the surface roughness Ra of working roll in the formation process _rThen can calculate model by rolling milimeter number L of working roll and working roll initial roughness Ra by the described working roll roll surface of Fig. 1 roughness ₀Find the solution and obtain, also think to have known.So as long as with K _Ss, K _RsExpression formula find the solution out, the roughness model of so specific planisher has just been set up.

Fig. 2 is the process flow diagram according to the specific planisher production board surface roughness model solution calculating of a preferred embodiment of the present invention.This embodiment is used to the foundation of specific planisher production board surface roughness model, and has a large amount of about enter the mouth before the smooth experimental data of value of strip surface roughness and working roll roll roughness of this planisher.

In step 21, at first construct heritability K _SsWith duplicating rate K _RsThe influence factor expression formula, and provide corresponding finished strip plate surface roughness model of influencing factors, be shown below respectively:

$\left\{\begin{array}{c}{K}_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)\\ K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)\end{array}\right.---\left(29\right)$

${\mathrm{Ra}}_{\mathrm{strip}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}---\left(30\right)$

In the formula (30), Ra _R0E ^-BLLBe working roll roll surface roughness model in the formation process, can obtain by Fig. 1, wherein Ra _R0Expression working roll initial roughness, L represents rolling milimeter number, B _LExpression planisher working roll roughness is along with the attenuation rate of rolling milimeter number.

In step 22, select the battery of tests data subsequently, satisfy following the requirement: the supplied materials thickness of band all is h _ε, the strength of materials all is k _ε, and the total ε of drafts ₁, ε ₂..., ε _i..., ε _nN altogether, and each drafts ε _iCorresponding two the different smooth preceding strip surface roughness and the value (about this point, can realize by selecting the rolling milimeter number of different working rolls) of working roll roughness are established it and are Ra _Ge1i, Ra _Ge2i, Ra _R1i, Ra _R2iLike this, corresponding with it, just can draw Ra by on-the-spot actual measurement _Strip11, Ra _Strip21, Ra _Strip12, Ra _Strip22..., Ra _Strip1i, Ra _Strip2i..., Ra _Strip1n, Ra _Strip2nThe value that amounts to 2n belt steel surface roughness.With the drafts is ε _iBe example, related experiment data substitution formula (30) obtained system of equations formula (31):

$\left\{\begin{array}{c}{\mathrm{Ra}}_{\mathrm{strip}1i}=g_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;g_2\left(k_{\mathrm{\&epsiv;}}\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_i\right)\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}1i}+f_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;f_2\left(k_{\mathrm{\&epsiv;}}\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_i\right)\&CenterDot;{\mathrm{Ra}}_{r1i}\\ {\mathrm{Ra}}_{\mathrm{strip}2i}=g_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;g_2\left(k_{\mathrm{\&epsiv;}}\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_i\right)\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}2i}+f_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;f_2\left(k_{\mathrm{\&epsiv;}}\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_i\right)\&CenterDot;{\mathrm{Ra}}_{r2i}\end{array}\right.---\left(31\right)$

Obviously, in system of equations (31), because the supplied materials thickness and the strength of materials of band are constant, so g ₁(h _ε), g ₂(k _ε), f ₁(h _ε), f ₂(k _ε) wait function to be actually constant, corresponding g ₁(h _ε) g ₂(k _ε), f ₁(h _ε) f ₂(k _ε) constant just, if order:

$\left\{\begin{array}{c}{C}_1=g_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;g_2\left(k_{\mathrm{\&epsiv;}}\right)\\ C_2=f_1\left(h_{\mathrm{\&epsiv;}}\right)\&CenterDot;f_2\left(k_{\mathrm{\&epsiv;}}\right)\end{array}\right.---\left(32\right)$

Then with formula (32) substitution formula (31) and put in order:

$\left\{\begin{array}{c}{\mathrm{Ra}}_{\mathrm{strip}1i}={\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;[C_1\&CenterDot;g\left({\mathrm{\&epsiv;}}_i\right)]+{\mathrm{Ra}}_{r1i}\&CenterDot;[C_2\&CenterDot;f\left({\mathrm{\&epsiv;}}_i\right)]\\ {\mathrm{Ra}}_{\mathrm{strip}2i}={\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;[C_1\&CenterDot;g\left({\mathrm{\&epsiv;}}_i\right)]+{\mathrm{Ra}}_{r2i}\&CenterDot;[C_2\&CenterDot;f\left({\mathrm{\&epsiv;}}_i\right)\text{]}\end{array}\right.---\left(33\right)$

Because in the experimental data gatherer process, the initial roughness of experimental data working roll when rolling and the rolling milimeter number after the roll change are not known on the same group, therefore corresponding smooth preceding strip surface roughness and work roll roughness Ra _Ge1i, Ra _Ge2i, Ra _R1i, Ra _R2iValue be known, and belt steel surface roughness Ra _Strip1i, Ra _Strip2iGetting by actual measurement, also is known.Like this, if with C ₁G (ε _i), C ₂F (ε _i) be unknown number, solving equation formula (33):

$\left\{\begin{array}{c}{C}_1\&CenterDot;g\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{r2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{r2i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}2i}}\\ C_2\&CenterDot;f\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;{\mathrm{Ra}}_{r1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{r2i}}\end{array}\right.---\left(34\right)$

Subsequently, in step 23, if make G (ε _i)=C ₁G (ε _i), F (ε _i)=C ₂F (ε _i), its substitution formula (34) is got:

$\left\{\begin{array}{c}G\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{r2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{r2i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}2i}}\\ F\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;{\mathrm{Ra}}_{r1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{r2i}}\end{array}\right.---\left(35\right)$

Then, in step 24, with corresponding Ra _Ge1i, Ra _Ge2i, Ra _R1i, Ra _R2iAnd Ra _Strip1i, Ra _Strip2iValue substitution formula (35), and with ε _iBe horizontal ordinate, corresponding G (ε _i), F (ε _i) be ordinate, make corresponding coordinate diagram, carry out curve fitting then, obtain the expression formula of function G (ε), F (ε).

Then, in step 25, selection intensity is k _h, drafts is ε _h, thickness is h ₁, h ₂..., h _i..., h _nSecond group of experimental data.

Subsequently, in step 26, selection thickness is h _k, drafts is ε _k, intensity is k ₁, k ₂..., k _i..., k _nThe 3rd group of experimental data.

Then, in step 27, order:

$\left\{\begin{array}{c}{D}_1=g_2\left(k_h\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_h\right)\\ D_2=f_2\left(k_h\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_h\right)\\ G_1\left(h_i\right)=D_1\&CenterDot;g_1\left(h_i\right)\\ F_1\left(h_i\right)=D_2\&CenterDot;f_1\left(h_i\right)\end{array}\right.---\left(36\right)$

$\left\{\begin{array}{c}{E}_1=g_1\left(h_k\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_k\right)\\ E_2=f_1\left(h_k\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_k\right)\\ G_2\left(k_i\right)=E_1\&CenterDot;g_2\left(k_i\right)\\ F_2\left(k_i\right)=E_2\&CenterDot;f_2\left(k_i\right)\end{array}\right.---\left(47\right)$

Thereby define corresponding intermediate function G ₁(h), F ₁(h), G ₂(h), F ₂(h).

Subsequently, in step 28, adopt the method identical, obtain according to experimental data and provide G with step 24 ₁(h), F ₁(h), G ₂(h), F ₂(h) the formula that embodies.

Then, in step 29 according to G (ε), F (ε), G ₁(h), F ₁(h), G ₂(h), F ₂(h) obtain K _Rs, K _SsThe formula that embodies, method is as follows:

Definition has according to related function:

G(ε)＝g ₁(h _ε)·g ₂(kε ₎·g(ε) (48)

G ₁(h)＝g ₂(k _h)·g(ε _h)·g ₁(h) (49)

G ₂(k)=g ₁(h _k) g (ε _k) g ₂(k) (50) are if multiply each other formula (48), formula (49), formula (50) the right and left:

G(ε)·G ₁(h)·G ₂(k)＝g ₁(h _ε)·g ₂(k _ε)·g(ε)·g ₂(k _h)·g(ε _h) (51)

G ₁(h) g ₁(h _k) g (ε _k) g ₂(k) arrangement formula (51) gets:

G(ε)·G ₁(h)·G ₂(k)＝[g ₁(h _ε)·g ₂(k _ε)·g(ε _h)]· (52)

[g ₁(h _k) g (ε _k) g ₂(k _h)] g ₁(h) g ₂(k) g (ε) is obvious, is got by formula (48), formula (50):

g ₁(h _ε)·g ₂(k _ε)·g(ε _h)＝G(ε _h) (53)

g ₁(h _k)·g(ε _k)·g ₂(k _h)＝G ₂(k _h) (54)

With formula (53), formula (54) substitution formula (52), and arrangement obtains heritability K _SsExpression formula:

$K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}---\left(55\right)$

Equally, adopt similar method, can obtain the K of impression rate _RsExpression formula:

$K_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)=\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}---\left(56\right)$

Subsequently, in step 30, formula (55), formula (56) substitution formula (30) just can be obtained corresponding practical specific planisher group production board surface roughness model, shown in (57):

${\mathrm{Ra}}_{\mathrm{strip}}=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}---\left(57\right)$

Embodiment 2

Generally speaking, for specific planisher, one of purpose of setting up production board surface roughness model is according to known rolling technological parameter the plate surface roughness of finished product to be carried out online forecasting in order to realize.

Fig. 3 is the planisher production board surface roughness online forecasting calculation flow chart according to a preferred embodiment of the present invention.This embodiment is used to the online forecasting of specific planisher production board surface roughness, and the rolling milimeter number that enters the mouth before smooth after strip surface roughness and working roll initial roughness and the roll change about this planisher is known.

At first, in step 31, collect the principal character parameter for the treatment of smooth band steel, comprise the thickness h, intensity k, the initial surface roughness Ra that are with steel _GeDeng.

Subsequently, in step 32, collect planisher working roll principal character parameter and comprise initial roughness Ra _R0With rolling milimeter number L.

Then, in step 33, collect main skin pass rolling technological parameter, mainly be meant smooth extensibility.

Subsequently, in step 34, call corresponding work roll roughness model, utilize following formula to obtain the corresponding work roll surface roughness:

${\mathrm{Ra}}_r={\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}---\left(58\right)$

In the formula (58), Ra _rBe planisher work roll surface roughness, Ra _R0Be planisher working roll initial roughness, L is the rolling milimeter number behind the work roll changing, B _LBe working roll roughness attenuation coefficient.

Then, in step 35, leveling complete machine production board surface roughness forecasting model.

At last, in step 36,, calculate corresponding production board surface roughness, realize the online forecasting of production board surface roughness substitution planisher production board surface roughness models such as smooth band steel parameter, working roll characteristic parameter, skin pass rolling technological parameters.

Embodiment 3

For specific planisher, set up carrying out the online forecasting according to the plate surface roughness of known rolling technological parameter of production board surface roughness model to finished product except realizing, also have an important purpose exactly the production board surface roughness to be controlled, this also is a meaning of the present invention.

Fig. 4 is the planisher production board surface roughness On-line Control process flow diagram according to a preferred embodiment of the present invention.This embodiment is used to the On-line Control of specific planisher production board surface roughness, and known about enter the mouth before smooth rolling milimeter number after strip surface roughness and working roll initial roughness and the roll change, roll change cycle etc. of this planisher.

At first, in step 41, collect the plate surface roughness Ra that treats that smooth belt steel flating is preceding _Ge, be flattened the major parameters such as intensity k, thickness of band steel;

Subsequently, in step 42, the rolling milimeter number of working roll of rolling milimeter number L, technology rules defined (being the roll change cycle) L after the roll change of collection work roller _Max0Deng roll principal character parameter;

Then, in step 43, collect the demand Ra of user to finished strip plate surface roughness _StripAnd the user allows maximum extensibility ε _Max, minimum extensibility ε _MinDeng demand parameter;

Subsequently, in step 44, set the initial value Ra of the initial roughness of working roll according to on-site experience _R00

Then, in step 45, related coefficient α, the β of rolling milimeter number introduce to be described, and given initial value α=1.0, β=0;

Subsequently, in step 46, make Ra _R0=Ra _R00, and rolling milimeter number is got L respectively ₁=α L _Max0, L ₂=β L _Max0(represent minimum rolling milimeter number, minimum rolling milimeter number is zero during new roller).

Then, in step 47, rely on working roll roughness Model Calculation to go out corresponding work roll actual capabilities minimal roughness Ra _RminWith maximal roughness Ra _Rmax

Subsequently, in step 48, with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, working roll actual capabilities maximal roughness Ra _Rmax, actual capabilities minimal roughness Ra _RminAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse go out corresponding maximum extensibility ε _Max', minimum extensibility ε _Min'; And judgement inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxWhether set up simultaneously,, then continue step 52) if set up; If be false, adjust the initial set value Ra of the initial roughness of working roll _R0, repeating step 44), 45) and 46) judge and can find suitable initial roughness setting value Ra _R0y, make above-mentioned two inequality set up simultaneously, if can find then the working roll initial roughness is set at Ra _R0y, continue step 52); Initial roughness value as can't be suitable then enters step 49);

Then, in step 49, judge ε _Max' 〉=ε _MinWhether set up, if set up, then enter step 50, the setting value that reduces the working roll initial roughness is to equation ε _Min'=ε _MinSet up, progressively increase the value of β, repeating step 45 with certain step-length), 46), 47), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 52 then); If be false, then enter step 51, the initial set value of the initial roughness of increase working roll is to equation ε _Max'=ε _MaxSet up, progressively reduce the value of α, repeating step 5 with certain step-length), 6), 7), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 52 then);

Subsequently, in step 52, with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, the actual roughness Ra of working roll _rAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse goes out extensibility ε, carries out extensibility and sets.Note simultaneously, when $\mathrm{\&alpha;}<1.0$ The time, then reach α L at the rolling milimeter number of working roll _Max0The time, in time change specification or roll change; And work as $\mathrm{\&beta;}>0$ The time, the product of other specification of then should arranging production has earlier reached β L up to the rolling milimeter number of working roll _Max0The time begin to produce this plan specification product.

At last, in step 53, output Ra _R0, ε, α, β, and carry out the setting of correlation parameter by this value, finish the set-up and calculated of production board surface roughness.

More than by embodiment the specific embodiment of the present invention has been described, but it should be understood that, here concrete description should not be construed as the qualification to scope of the present invention, the various modifications that those skilled in the art make the foregoing description after reading this instructions, these all belong to scope of the present invention.

Formation process production board surface roughness control technology of the present invention, be by in-depth analysis to working roll roll surface roughness, rolling parameter and institute's strip surfaceness corresponding relation, on the basis of introducing impression rate and heritability notion, production characteristics at flattening process, set up through a large amount of site test and theoretical researches, can realize in practice the surfaceness of rolling technological parameter with the control finished strip being adjusted in the requirement of strip surface roughness in good time according to the user.

Claims (10)

1, a kind of production board surface roughness Forecast And Control Technique of planisher is characterized in that: the production board surface roughness Forecast And Control Technique of planisher may further comprise the steps:

The mathematical model that concerns between the rolling milimeter number after a, foundation reflection planisher working roll roughness and working roll initial roughness, the roll change;

Set up the mathematical model that concerns between the rolling milimeter number after reflection planisher working roll roughness and working roll initial roughness, the roll change by following step:

1) with ${\mathrm{Ra}}_r={\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}$ Formal construction go out the basic model framework that concerns between planisher working roll roughness and the rolling milimeter number;

In the formula: Ra _r-planisher working roll roughness;

Ra _R0-planisher working roll initial roughness;

Rolling milimeter number behind the L-work roll changing;

LB _L-working roll roughness attenuation coefficient;

2) collect one group at the scene about the rolling milimeter number L of difference _lFollowing pairing working roll roughness Ra _RiAnd corresponding work roll initial roughness Ra _R0iData;

3) given working roll roughness attenuation coefficient initial set value X ₀={ B _L' and computational accuracy ∑=0.00001;

4) with B _L', L _i, Ra _R0iThe substitution formula ${\mathrm{Ra}}_r={\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L},$ Obtain corresponding work roll roughness calculated value Ra _Rt';

5) calculate corresponding target function value F (X);

6) judge whether F (X)≤∑ is set up, change initial value X if be false ₀Repeat above-mentioned steps 4), 5), set up up to Rule of judgment, finish to calculate, draw the working roll roughness attenuation coefficient B of specific planisher _LAnd reflect the mathematical model that concerns between the rolling milimeter number after planisher working roll roughness and working roll initial roughness, the roll change accordingly;

B, structure impression rate K _RsWith heritability K _SsFunction expression;

C, the smooth back of structure production board surface roughness Ra _StripInitial model;

D, according to the field experiment data of specific planisher, set up the plate surface roughness forecasting model of specific planisher, set up the plate surface roughness model of specific planisher by following step:

1), collection in worksite battery of tests data, satisfy following the requirement: the supplied materials thickness of band all is h _ε, the strength of materials all is k _ε, and the total ε of drafts ₁, ε ₂..., ε _i..., ε _nN altogether, and each drafts ε _iCorresponding two the different smooth preceding inlet strip surface roughness and the value of working roll roll roughness about this point, can realize by selecting the rolling milimeter number of different working rolls, establish it and are Ra _Ge1i, Ra _Ge2i, Ra _R1i, Ra _R2iLike this, corresponding with it, just can draw Ra by on-the-spot actual measurement _Strip11, Ra _Strip21, Ra _Strip12, Ra _Strip22..., Ra _Strip1i, Ra _Strip2i..., Ra _Strip1n, Ra _Strip2nThe value that amounts to 2n belt steel surface roughness;

2) definition intermediate function G (ε), F (ε);

3) solve corresponding G (ε according to experimental data _i), F (ε _i) expression formula;

4) according to G (ε _i), F (ε _i) expression formula provide the formula that embodies of G (ε), F (ε) by the method for curve fitting;

5) capturing material intensity all is k _h, drafts all is ε _h, and band supplied materials thickness is respectively h ₁, h ₂..., h _i..., h _nSecond group of experimental data and band supplied materials thickness all be h _k, drafts all is ε _k, and the strength of materials is respectively k ₁, k ₂..., k _i..., k _nThe 3rd group of experimental data;

6) definition intermediate function G ₁(h), F ₁(h), G ₂(h), F ₂(h);

7) provide G according to the method for experimental data by curve fitting ₁(h), F ₁(h), G ₂(h), F ₂(h) the formula that embodies;

8) according to G (ε), F (ε), G ₁(h), F ₁(h), G ₂(h), F ₂(h) obtain impression rate K _RsWith heritability K _SsConcrete function expression;

9) the production board surface roughness forecasting model of the specific planisher of output;

E, according to plate surface roughness model online forecasting production board surface roughness, realize the forecast of production board surface roughness by following step:

1) collect the principal character parameter for the treatment of smooth band steel, the principal character parameter of described smooth band steel comprises: belt steel surface roughness, band hardness of steel before smooth;

2) collect planisher working roll principal character parameter, described planisher working roll principal character parameter comprises: rolling milimeter number behind working roll initial roughness, the work roll changing;

3) collect main skin pass rolling technological parameter, described skin pass rolling technological parameter comprises: the skin pass rolling extensibility;

4) calculate planisher working roll roughness;

5) with substitution planisher production board surface roughness models such as smooth band steel parameter, working roll characteristic parameter, skin pass rolling technological parameters, calculate corresponding production board surface roughness;

The On-line Control of f, production board surface roughness, press the On-line Control that following step realizes the production board surface roughness:

1) collects the plate surface roughness Ra that treats that smooth belt steel flating is preceding _Ge, major parameter such as band hardness of steel k;

2) the rolling milimeter number of working roll of rolling milimeter number L, technology rules defined (being the roll change cycle) L after the roll change of collection work roller _Max0Deng roll principal character parameter;

3) collect the demand Ra of user to finished strip plate surface roughness _StripAnd the user allows maximum extensibility ε _Maz, minimum extensibility ε _MinDeng demand parameter;

4) set the initial value Ra of the initial roughness of working roll according to on-site experience _R00

5) introduce related coefficient α, β, and given initial value α=1.0, β=0;

6) make Ra _R0=Ra _R00, and rolling milimeter number is got L respectively ₁=α L _Max0, L ₂=β L _Max0The described Model Calculation of substitution step a) goes out corresponding work roll actual capabilities minimal roughness Ra _RminWith maximal roughness Ra _RmaxRepresent minimum rolling milimeter number, minimum rolling milimeter number is zero during new roller;

7) with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, working roll actual capabilities maximal roughness Ra _Rmax, actual capabilities minimal roughness Ra _RminAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse go out corresponding maximum extensibility ε _Max', minimum extensibility ε _Min';

8) judge inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxWhether set up simultaneously,, then continue step 10) if set up; If be false, adjust the initial set value Ra of the initial roughness of working roll _R0, repeating step 4), 5) and 6) judge and can find suitable initial roughness setting value Ra _R0y, make above-mentioned two inequality set up simultaneously, if can find then the working roll initial roughness is set at Ra _R0y, continue step 10); Initial roughness value as can't be suitable then enters step 9);

9) judge ε _Max' 〉=ε _MinWhether set up, if set up, the setting value that then reduces the working roll initial roughness is to equation ε _Min'=ε _MinSet up, progressively increase the value of β, repeating step 5 with certain step-length), 6), 7), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 10) then; If be false, the initial set value of initial roughness that then increases working roll is to equation ε _Max'=ε _MaxSet up, progressively reduce the value of α, repeating step 5 with certain step-length), 6), 7), make inequality ε _Min≤ ε _Max'≤ε _Max, ε _Min≤ ε _Min'≤ε _MaxSet up simultaneously, enter step 10) then;

10) with the plate surface roughness Ra before smooth _Ge, band hardness of steel k, the actual roughness Ra of working roll _rAnd the user is to the demand Ra of finished strip plate surface roughness _StripSubstitution production board surface roughness model, inverse goes out extensibility ε, carries out extensibility and sets.Note simultaneously, when α＜1.0, then reach α L at the rolling milimeter number of working roll _Max0The time, in time change specification or roll change; And when β＞0, the product of other specification of then should arranging production has earlier reached β L up to the rolling milimeter number of working roll _Max0The time begin to produce this plan specification product.

2, the production board surface roughness Forecast And Control Technique of planisher according to claim 1, it is characterized in that: objective function is defined as described in the step a:

$F\left(X\right)=\sqrt{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{Ra}}_{\mathrm{ri}}-{{\mathrm{Ra}}_{\mathrm{ri}}}^{\&prime;})}^2}$

In the formula: the n-sample number.

3, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: the rate of impression described in step b K _RsWith heritability K _SsFunction expression be:

$\left\{\begin{array}{c}{K}_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)\\ K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)\end{array}\right.$

In the formula: h-the supplied materials thickness of smooth band

K-the intensity of smooth band

ε-smooth reduction ratio.

4, the production board surface roughness Forecast And Control Technique of planisher according to claim 1, it is characterized in that: the initial model expression formula of the surface roughness of formation plate described in the step c is as follows:

${\mathrm{Ra}}_{\mathrm{strip}}=K_{\mathrm{ss}}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+K_{\mathrm{rs}}\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}$

Ra in the formula _Strip-smooth back finished strip surfaceness

R _Age-smooth preceding incoming band material surfaceness.

5, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: the initializer of the G of intermediate function described in the steps d (ε), F (ε) is as follows:

G(ε)＝g ₁(h _ε)·g ₂(k _ε)·g(ε)

f(ε)＝f ₁(h _ε)·f ₂(k _ε)·f(ε)。

6, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: the G (ε that solves described in the steps d _i), F (ε _i) expression formula as follows:

$\left\{\begin{array}{c}G\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{r2i}\&CenterDot;a_{\mathrm{strip}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{r2i}{\mathrm{Ra}}_{\mathrm{ge}1i}-{\mathrm{Ra}}_{r1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}2i}}\\ F\left({\mathrm{\&epsiv;}}_i\right)=\frac{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{\mathrm{strip}2i}}{{\mathrm{Ra}}_{\mathrm{ge}2i}\&CenterDot;{\mathrm{Ra}}_{r1i}-{\mathrm{Ra}}_{\mathrm{ge}1i}\&CenterDot;{\mathrm{Ra}}_{r2i}}\end{array}\right..$

7, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: the G of intermediate function described in the steps d ₁(h), F ₁(h), G ₂(h), F ₂(h) expression formula is as follows:

$\left\{\begin{array}{c}{G}_1\left(h\right)=g_2\left(k_h\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;g_1\left(h\right)\\ F_1\left(h\right)=f_2\left(k_h\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;f_1\left(h\right)\\ G_2\left(k\right)=g_1\left(h_k\right)\&CenterDot;g\left({\mathrm{\&epsiv;}}_k\right)\&CenterDot;g_2\left(k\right)\\ F_2\left(k\right)=f_1\left(h_k\right)\&CenterDot;f\left({\mathrm{\&epsiv;}}_k\right)\&CenterDot;f_2\left(k\right)\end{array}\right..$

8, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: the rate of seal described in steps d K _RsWith heritability K _SsConcrete function expression as follows:

$K_{\mathrm{rs}}=f_1\left(h\right)\&CenterDot;f_2\left(k\right)\&CenterDot;f\left(\mathrm{\&epsiv;}\right)=\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}$

$K_{\mathrm{ss}}=g_1\left(h\right)\&CenterDot;g_2\left(k\right)\&CenterDot;g\left(\mathrm{\&epsiv;}\right)=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}.$

9, the production board surface roughness Forecast And Control Technique of planisher according to claim 1, it is characterized in that: the surface roughness of production board described in steps d mathematical model is as follows:

${\mathrm{Ra}}_{\mathrm{strip}}=\frac{G\left(\mathrm{\&epsiv;}\right)\&CenterDot;G_1\left(h\right)\&CenterDot;G_2\left(k\right)}{G\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;G_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{\mathrm{ge}}+\frac{F\left(\mathrm{\&epsiv;}\right)\&CenterDot;F_1\left(h\right)\&CenterDot;F_2\left(k\right)}{F\left({\mathrm{\&epsiv;}}_h\right)\&CenterDot;F_2\left(k_h\right)}\&CenterDot;{\mathrm{Ra}}_{r0}\&CenterDot;e^{-B_L\&CenterDot;L}.$

10, the production board surface roughness Forecast And Control Technique of planisher according to claim 1 is characterized in that: α described in the step f, the rolling scaduled coefficient of β planisher, and when α＜1.0, it is rolling the specific standard product should to be arranged in the roll change initial stage; And when β＞0, then should arrange the roll change later stage rolling.

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