CN101507977A - System error comprehensive compensation technique of strip-mill strip-shape detection device - Google Patents

Abstract

The invention discloses a systematical error comprehensive compensation technique suitable for a profile shape detector of a plate-strip mill, which is characterized by comprising the following steps: a, collecting the main structural parameters of the profile shape detector of the plate-strip mill; b, collecting the specification parameters and the detection result parameters of strip steel; c, working out the profile shape measuring error caused by the perpendicularity deviation of a detecting roller; d, working out the profile shape measuring error caused by the levelness deviation of the detecting roller; e, working out the tension detection deviation caused by the abrasion of the detecting roller; f, working out the tension detection deviation caused by the combined influence of the perpendicularity deviation, the levelness deviation and the surface abrasion of the detecting roller; g, working out the initial value of the lateral distribution of the actual tension; h, working out the additional tension difference cased by the flexure of the detecting roller under the current stress condition; i, working out lateral distribution of the actual tension after considering the additional tension difference caused by the flexure of the detecting roller; j, judging a convergence condition; k, outputting a profile shape comprehensive compensation value; and l, ending the calculation. The systematical error comprehensive compensation technique can quantitatively work out the combined influence on the profile shape measuring precision caused by factors such as the flexure, the inclination, the abrasion, and the like of the detecting roller under a condition of different tensions and profile shapes, thereby effectively improving the real object profile shape quality at the outlet of the mill and bringing economic benefit to a scene.

Description

System error comprehensive compensation technique of strip-mill strip-shape detection device

Technical field

The present invention relates to a kind of cold continuous rolling production Technology, particularly a kind of shape detection device system error comprehensive compensation technique that is suitable for strip-mill strip.

Background technology

In recent years, along with the fast development of process industry, the user is more and more harsher to the plate shape required precision of finished strip.In the Rolling Production process, in order to control the strip shape quality of finished product, generally overlap plate profile instrument in the outlet configuration one of finished frame, to milling train and by plate shape control devices such as the roller that inclines, roller, some coolings plate shape in kind is carried out FEEDBACK CONTROL according to the measurement feedback of plate profile instrument then, form plate shape closed-loop control system, finally reach the purpose of improving plate shape in kind.In other words, for plate shape closed-loop control system, it is prerequisite and basis that plate shape is detected, and all plate shape control devices all are as foundation with the testing result of shape detection device as the roller that inclines, roller, some cooling etc.Like this, if (as the deflection of measuring roll, inclination, wearing and tearing etc.) and cause the distortion of plate shape measurement value for a certain reason make to have certain error between measured value and the actual value.Then, carry out the closed-loop control of plate shape with the plate shape measurement value of distortion as the basis again, it must influence the strip shape quality in kind of finished product.At present, compensation problem for the shape detection device systematic error, correlative study both domestic and external mainly concentrates on the temperature-compensating aspect, but for aspect factors such as the deflection of measuring roll, inclination (comprising that vertical and horizontal tilts two kinds), wearing and tearing the combined influence problem of device measuring precision is then mainly rested on the qualitative research aspect, how quantitative compensation measure error, the gap that reduces measuring plate shape and plate shape in kind remain the on-the-spot emphasis of tackling key problems of each iron and steel enterprise.For this reason, the present invention is on the basis of a large amount of field trials and theoretical research, abundant structure and process characteristic in conjunction with strip-mill strip-shape detection device, the classical mechanics theory is combined with modern computing technology, set up a cover first and be suitable for strip-mill strip-shape detection device system error analysis technology, and provided corresponding error synthesis compensation scheme, the deflection that can quantitative calculation goes out measuring roll under differential tension and the plate shape by this technology, tilt, factors such as wearing and tearing are to the combined influence of plate shape measurement precision, thereby effectively improve the strip shape quality in kind of milling train outlet, bring economic 1 benefit of imitating to the scene.The principle of the inventive method is clear, and computational speed is fast, is suitable for on-the-spot online use.

Summary of the invention

In order to solve the problems of the technologies described above, the present invention proposes a kind of system error comprehensive compensation technique of strip-mill strip-shape detection device, by to the quantitative compensation of factors such as the deflection of measuring roll, inclination, wearing and tearing to the combined influence of plate shape measurement precision, reduce the deviation of plate shape measurement value and actual value, improve plate shape control accuracy, satisfy user's demand.

To achieve these goals, the present invention has adopted following technical scheme: a kind of system error comprehensive compensation technique of strip-mill strip-shape detection device may further comprise the steps:

(a) main structure parameters of collection strip-mill strip-shape detection device mainly comprises measuring roll supported on both sides dot spacing L ₀, the stressed ring width Δ of measuring roll x, the number n of pressure rings, the levelness deviation δ of measuring roll _s, measuring roll perpendicularity deviation δ _h, measuring roll surface abrasion coefficient a ₀, a ₁, a ₂, a ₃, a ₄, a ₅, a ₆, the wrap angle between measuring roll and the band steel ₁, θ ₂, measuring roll barrel length L, measuring roll both sides band length be respectively L ₁, L ₂

(b) specifications parameter of collecting belt steel and testing result parameter mainly comprise: the width B of the thickness h of band steel, band steel, the plate shape measurement of shape detection device be fitting coefficient A as a result ₀, A ₁, A ₂, A ₃, A ₄

(c) calculate because the perpendicularity deviation δ of measuring roll _hAnd the plate shape measurement error delta σ that causes _Hi, fundamental equation is:

$\mathrm{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{hi}}=\frac{\sqrt{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1^2+{\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)}^2-2L_1\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)\cos {\mathrm{\&theta;}}_1}+\sqrt{{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2^2+{\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)}^2-2L_2\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1+{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2}\&CenterDot;{10}^5$

In the formula: x _iThe coordinate that the transversely i of-band is ordered;

The arbitrfary point of i-when band is divided into equal portions according to the stressed ring width of measuring roll.

(d) calculate because the levelness deviation δ of measuring roll _sAnd the plate shape measurement error delta σ that causes _Si, fundamental equation is as follows:

$\mathrm{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{si}}=\frac{\sqrt{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1^2+{\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)}^2-2L_1\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)\sin {\mathrm{\&theta;}}_1}+\sqrt{{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2^2+{\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)}^2-2L_2\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)\sin {\mathrm{\&theta;}}_2}-L_2-L_1}{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1+{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2}\&CenterDot;{10}^5;$

(e) calculate the plate shape that causes because of the measuring roll wearing and tearing and detect deviation delta σ _Mi, its basic model is as follows:

${\mathrm{\&Delta;\&sigma;}}_{\mathrm{mi}}=\frac{\sqrt{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1^2+{\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)}^2-2L_1\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)\cos {\mathrm{\&theta;}}_1}+\sqrt{{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2^2+{\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)}^2-2L_2\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1+{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2}\&CenterDot;{10}^5$

In the formula: δ _iThe wear extent that-roll is ordered at i, ${\mathrm{\&delta;}}_i=\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j$

(f) calculate the plate shape detection deviation delta σ h that perpendicularity, levelness deviation and measuring roll surface abrasion combined influence owing to measuring roll cause _Smi, its basic model is:

Δσh _smi＝Δσ _hi+Δσ _si+Δσ _mi

(g) deduction falls because the tension force that perpendicularity, levelness deviation and the measuring roll surface abrasion of measuring roll cause detects deviation in actual plate shape measured value, calculates the initial value σ of actual plate shape distribution _0i:

${\mathrm{\&sigma;}}_{0i}={\mathrm{\&sigma;}}_i-{\mathrm{\&Delta;\&sigma;}}_{\mathrm{hsmi}}=\underset{j=0}{\overset{4}{\mathrm{\&Sigma;}}}{A}_j{x}_i^j-{\mathrm{\&Delta;\&sigma;}}_{\mathrm{hsmi}}$

In the formula: σ _iThe plate shape measurement of-shape detection device, ${\mathrm{\&sigma;}}_i=\underset{j=0}{\overset{4}{\mathrm{\&Sigma;}}}{A}_j{x}_i^j$

(h) calculate under the current stressing conditions add-in card shape Δ σ that the deflection owing to measuring roll causes _Fi, its basic model is:

${\mathrm{\&Delta;\&sigma;}}_{\mathrm{fi}}=\frac{\sqrt{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1^2+f_i^2-2L_1{f}_i\cos {\mathrm{\&theta;}}_1}+\sqrt{{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2^2+f_i^2-2L_2{f}_i\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{{\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout>}}_1+{\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout>}}_2}\&CenterDot;{10}^5$

In the formula: f _i-in the amount of deflection of the measuring roll of i position, $f_i=\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}{f}_{\mathrm{ij}};$

f _IjThe power that j is ordered on-the measuring roll is in the amount of deflection of the locational generation of i point,

$f_{\mathrm{ij}}=\left\{\begin{array}{cc}\frac{P_j(L_0-x_j)x_i}{6{\mathrm{<figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout>}}_0\mathrm{EI}}[{{\mathrm{<figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout>}}_0}^2-{(L_0-x_j)}^2-{x_i}^2]& 0\&le;i<j\\ \frac{P_j(L_0-x_j)x_i}{6{\mathrm{<figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout>}}_0\mathrm{EI}}[{{\mathrm{<figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout>}}_0}^2-{(L_0-x_j)}^2-{x_i}^2]+\frac{P_j{(x_i-x_j)}^3}{6}& j\&le;i\&le;n\end{array}\right.;$

P _jSuffered compression on any j of-measuring roll the stressed ring, P _j=σ _0jΔ xh (cos θ ₁+ cos θ ₂) 2.310 ⁶

x _i-the i point position;

x _j-the j used load is to the initial point distance;

The elastic modelling quantity of E-band;

L ₀Distance between the fulcrum of-measuring roll two ends;

I-measuring roll the moment of inertia.

(i) calculate the deflection of considering measuring roll and the additional tension difference that causes actual plate shape distribution σ ' afterwards _0i, σ ' _0i=σ _i-Δ σ _Hsmi-Δ σ _Fi

(j) judge inequality $\frac{1}{\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{\mathrm{\&sigma;}}_{0i}}\sqrt{\frac{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{\&sigma;}}_{0i}-{\mathrm{\&sigma;}\&prime;}_{0i})}^2}{n}}\&le;0.001$ Set up? if set up and change step (k) over to,, then make σ if be false _0i=σ ' _0i, change step (h) over to, till inequality is set up.(k) output board shape comprehensive compensation value Δ σ _i=Δ σ _Hi+ Δ σ _Si+ Δ σ _Mi+ Δ σ _Fi

(1) finishes to calculate.

To sum up,, can effectively compensate the flatness defect that causes because of the measuring roll measure error, improve on-the-spot plate shape control ability by related art scheme of the present invention.With certain 1,220 five frame cold continuous rolling is example.Before the patent working of the present invention, the average blocking rate of the annual flatness defect of 2005 units is 2.15 ‰; In January, 2006 to 2006, year average blocking rate of flatness defect in July was 2.37 ‰, and in August, 2006 to 2006, year average blocking rate of flatness defect in December was 0.52 ‰ afterwards in the correlative compensation measure enforcement of patent of the present invention, for having created very big economic benefit in the scene.

Description of drawings

Below in conjunction with accompanying drawing the specific embodiment of the present invention is done further specific description in detail.

Fig. 1 is the strip-mill strip-shape measuring roll location drawing;

Fig. 2 (a) is a plate-shaped sensing roller perpendicularity deviation distribution simplified side view;

Fig. 2 (b) is that front view is simplified in the distribution of plate-shaped sensing roller perpendicularity deviation;

Fig. 3 (a) is a plate-shaped sensing roller levelness deviation profile simplified side view;

Fig. 3 (b) is that plate-shaped sensing roller levelness deviation profile is simplified front view;

Fig. 4 (a) is measuring roll wearing and tearing schematic diagrames;

Fig. 4 (b) is a measuring roll wear bit strip steel variation diagram;

Fig. 5 is the force diagram in the measuring roll course of work;

Fig. 6 is the system error comprehensive compensation computing block diagram of strip-mill strip-shape detection device;

Fig. 7 is the plate shape measurement demonstration figure as a result of shape detection device in the embodiment of the invention;

Fig. 8 is the plate shape measurement error demonstration figure that causes owing to the perpendicularity deviation of measuring roll in the embodiment of the invention;

Fig. 9 is the plate shape measurement error demonstration figure that causes owing to the levelness deviation of measuring roll in the embodiment of the invention;

Figure 10 is that the plate shape that causes owing to perpendicularity, levelness deviation and the measuring roll surface abrasion combined influence of measuring roll in the embodiment of the invention is detected deviation demonstration figure;

Figure 11 is the initial value demonstration figure that actual plate shape distributes in the embodiment of the invention;

Figure 12 is the distribution situation demonstration figure of measuring roll sag curve in the embodiment of the invention;

Figure 13 considers the deflection of measuring roll and actual plate shape distribution map after the additional tension difference that causes in the embodiment of the invention;

Figure 14 is plate shape comprehensive compensation value demonstration figure in the embodiment of the invention.

The specific embodiment

Fig. 6 is the system error comprehensive compensation computing block diagram according to strip-mill strip-shape detection device of the present invention.Be that 1436mm, roller directly are that the plate-shaped sensing roller of 313mm is an example now, describe the system error comprehensive compensation process of band steel on this shape detection device of specific standard by means of Fig. 6 with barrel length behind certain five frame cold continuous rolling.Accompanying drawing 1 is this strip-mill strip-shape measuring roll location drawing.

At first, in step 1, collect 1 main structure parameters of collecting strip-mill strip-shape detection device, mainly comprise measuring roll supported on both sides dot spacing L ₀Number n=22 of=1620mm, the stressed ring width Δ of measuring roll x=52, pressure rings, the levelness deviation δ of measuring roll _sThe perpendicularity deviation δ of=0.1mm, measuring roll _h=0.05mm, measuring roll surface abrasion coefficient a ₀=0, a ₁=0, a ₂=0, a ₃=0, a ₄=0, a ₅=0, a ₆=0, the wrap angle between measuring roll and the band steel ₁=90 °, θ ₂=28 °, the length of measuring roll barrel length L=1436mm, measuring roll both sides band are respectively L ₁=2.5mm, L ₂=3.5mm.

Then, the specifications parameter of collecting belt steel and testing result parameter in step 2 mainly comprise: the width B=1040mm of the thickness h=0.5mm of band steel, band steel, the plate shape measurement of shape detection device be fitting coefficient A as a result ₁=0, A ₂=10, A ₃=0, A ₄=4, its plate plotting table as shown in Figure 7;

Then, in step 3, as shown in Figure 2, provide plate-shaped sensing roller perpendicularity deviation distribution map, calculate because the perpendicularity deviation δ of measuring roll _h=0.05mm and the plate shape measurement error delta σ that causes _Hi, represent with curve as shown in Figure 8;

Then, in step 4, as shown in Figure 3, provide plate-shaped sensing roller levelness deviation profile figure, calculate because the levelness deviation δ of measuring roll _s=0.1mm and the plate shape measurement error delta σ that causes _Si, represent with curve as shown in Figure 9;

Then, in step 5, as shown in Figure 4, provide measuring roll wearing and tearing schematic diagram and this position band steel variation diagram, calculate the plate shape that causes because of the measuring roll wearing and tearing and detect deviation delta σ _Mi=0;

Then, in step 6, calculate the plate shape detection deviation delta σ that perpendicularity, levelness deviation and measuring roll surface abrasion combined influence owing to measuring roll cause _Hsmi, represent with curve as shown in figure 10;

Then, in step 7, deduction falls because the tension force that perpendicularity, levelness deviation and the measuring roll surface abrasion of measuring roll cause detects deviation in actual plate shape measured value, calculates the initial value σ of actual plate shape distribution _0i, represent with curve as shown in figure 11;

Then, in step 8, as shown in Figure 5, provide the force diagram in the measuring roll course of work, calculate under the current stressing conditions add-in card shape Δ σ that the deflection owing to measuring roll causes _Fi( ${\mathrm{\&Delta;\&sigma;}}_{\mathrm{fi}}=\frac{\sqrt{L_1^2+f_i^2-2L_1{f}_i\cos {\mathrm{\&theta;}}_1}+\sqrt{L_2^2+f_i^2-2L_2{f}_i\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{L_1+L_2}\&CenterDot;{10}^5,$ In the formula: f _iBe amount of deflection at the measuring roll of i position, $f_i=\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}{f}_{\mathrm{ij}};$ f _IjThe power of ordering for j on the measuring roll is in the amount of deflection of the locational generation of i point, $f_{\mathrm{ij}}=\left\{\begin{array}{cc}\frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]& 0\&le;i<j\\ \frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]+\frac{P_j{(x_i-x_j)}^3}{6}& j\&le;i\&le;n\end{array}\right.;$ P _jBe suffered compression on any j of measuring roll the stressed ring, P _j=σ _0jΔ xh (cos θ ₁+ cos θ ₂) 2.310 ⁶x _iIt is i point position; x _jBe that j used load is to the initial point distance; E is the elastic modelling quantity of band; L ₀Be the distance between the fulcrum of measuring roll two ends; I is the measuring roll the moment of inertia.) provide as Figure 12, provide the distribution situation of measuring roll sag curve.

Then, in step 9, calculate the deflection of considering measuring roll and after the additional tension difference that causes

Till the establishment.

Then, in step 12, output board shape comprehensive compensation value Δ σ _i=Δ σ _Hi+ Δ σ _Si+ Δ σ _Mi+ Δ σ _Fi, as shown in figure 14;

At last, finish to calculate.

Claims (8)

1. system error comprehensive compensation technique of strip-mill strip-shape detection device, it is characterized in that: this method may further comprise the steps:

(a) main structure parameters of collection strip-mill strip-shape detection device;

(b) specifications parameter of collecting belt steel and testing result parameter;

(c) calculate because the perpendicularity deviation δ of measuring roll _hAnd the plate shape measurement error delta σ that causes _Hi

(d) calculate because the levelness deviation δ of measuring roll _sAnd the plate shape measurement error delta σ that causes _Si

(e) calculate the plate shape that causes because of the measuring roll wearing and tearing and detect deviation delta σ _Mi

(f) calculate the plate shape detection deviation delta σ that perpendicularity, levelness deviation and measuring roll surface abrasion combined influence owing to measuring roll cause _Hsmi=Δ σ _Hi+ Δ σ _Si+ Δ σ _Mi

(g) deduction falls because the plate shape that perpendicularity, levelness deviation and the measuring roll surface abrasion of measuring roll cause is detected deviation in actual plate shape measured value, calculates the initial value σ of actual plate shape distribution _0i

(h) calculate under the current stressing conditions add-in card shape difference Δ σ that the deflection owing to measuring roll causes _Fi

(i) calculate the deflection of considering measuring roll and the add-in card shape that causes difference actual plate shape cross direction profiles σ ' afterwards _0i=σ _i-Δ σ _Hsmi-Δ σ _Fi

(j) judge inequality $\frac{1}{\frac{1}{N}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{\mathrm{\&sigma;}}_{0i}}\sqrt{\frac{\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{\&sigma;}}_{0i}-{\mathrm{\&sigma;}\&prime;}_{0i})}^2}{n}}\&le;0.001$ Set up? if set up and change (k) over to,, then make σ if be false _0i=σ ' _0i, change step (h) over to, till inequality is set up;

(k) output board shape comprehensive compensation value Δ σ _i=Δ σ _Hi+ Δ σ _Si+ Δ σ _Mi+ Δ σ _Fi

(1) finishes to calculate.

2. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: the main structure parameters of strip-mill strip-shape detection device described in the step (a) mainly comprises measuring roll supported on both sides dot spacing L ₀, the stressed ring width Δ of measuring roll x, the number n of pressure rings, the levelness deviation δ of measuring roll _s, measuring roll perpendicularity deviation δ _h, measuring roll surface abrasion coefficient a ₀, a ₁, a ₂, a ₃, a ₄, a ₅, a ₆, the wrap angle between measuring roll and the band steel ₁, θ ₂, measuring roll barrel length L, measuring roll both sides band length be respectively L ₁, L ₂

3. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1, it is characterized in that: the specifications parameter and the testing result parameter of the steel of band described in the step (b) mainly comprise: the width B of the thickness h of band steel, band steel, the plate shape measurement of shape detection device be fitting coefficient A as a result ₀, A ₁, A ₂, A ₃, A ₄

4. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: plate shape measurement error delta σ described in the step (c) _Hi, fundamental equation is:

$\text{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{hi}}=\frac{\sqrt{L_1^2+{\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)}^2-2L_1\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)\cos {\mathrm{\&theta;}}_1}+\sqrt{L_2^2+{\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)}^2-2L_2\left({\mathrm{\&delta;}}_h\frac{x_i}{L}\right)\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{L_1+L_2}\&CenterDot;{10}^5$

In the formula: x _iThe coordinate that the transversely i of-band is ordered;

The arbitrfary point of i-when band is divided into equal portions according to the stressed ring width of measuring roll.

5. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: described in the step (d) because the levelness deviation δ of measuring roll _sAnd the plate shape measurement error delta σ that causes _Si, fundamental equation is as follows:

$\text{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{si}}=\frac{\sqrt{L_1^2+{\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)}^2-2L_1\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)s{\mathrm{in\&theta;}}_1}+\sqrt{L_2^2+{\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)}^2-2L_2\left(\frac{{\mathrm{\&delta;}}_s}{L}{x}_i\right)\sin {\mathrm{\&theta;}}_2}-L_1-L_2}{L_1+L_2}\&CenterDot;{10}^5.$

6. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: the plate shape that causes because of the measuring roll wearing and tearing described in the step (e) is detected deviation delta σ _Mi, its basic model is as follows:

$\text{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{mi}}=\frac{\sqrt{L_1^2+{\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)}^2-2L_1\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)\cos {\mathrm{\&theta;}}_1}+\sqrt{L_2^2+{\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)}^2-2L_2\left(\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j\right)\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{L_1+L_2}\&CenterDot;{10}^5$

In the formula: δ _iThe wear extent that-roll is ordered at i, ${\mathrm{\&delta;}}_i=\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j.$

7. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: the initial value σ that actual plate shape described in the step (g) distributes _0i, its expression formula is:

${\mathrm{\&sigma;}}_{0i}={\mathrm{\&sigma;}}_i-\mathrm{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{hsmi}}=\underset{j=0}{\overset{4}{\mathrm{\&Sigma;}}}{A}_j{x}_i^j-\mathrm{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{hsmi}}$

In the formula: σ _iThe plate shape measurement of-shape detection device, ${\text{\&sigma;}}_i=\underset{j=0}{\overset{4}{\text{\&Sigma;}}}{A}_j{x}_i^j.$

8. system error comprehensive compensation technique of strip-mill strip-shape detection device according to claim 1 is characterized in that: the add-in card shape Δ σ that causes owing to the deflection of measuring roll described in the step (h) _Fi, its basic model is:

$\text{\&Delta;}{\mathrm{\&sigma;}}_{\mathrm{fi}}=\frac{\sqrt{L_1^2+f_i^2-2L_1{f}_i\cos {\mathrm{\&theta;}}_1}+\sqrt{L_2^2+f_i^2-2L_2{f}_i\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{L_1+L_2}\&CenterDot;{10}^5$

In the formula: f _i-in the amount of deflection of the measuring roll of i position, $f_i=\underset{j=1}{\overset{n}{\mathrm{\&Sigma;}}}{f}_{\mathrm{ij}};$

f _IjThe power that j is ordered on-the measuring roll is in the amount of deflection of the locational generation of i point,

$f_{\mathrm{ij}}=\left\{\begin{array}{cc}\frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]& 0\&le;i<j\\ \frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]+\frac{P_j{(x_i-x_j)}^3}{6}& j\&le;i\&le;n\end{array}\right.;$

P _jSuffered compression on any j of-measuring roll the stressed ring, P _j=σ _0jΔ xh (cos θ ₁+ cos θ ₂) 2.310 ⁶

x _i-the i point position;

x _j-the j used load is to the initial point distance;

The elastic modelling quantity of E-band;

L ₀Distance between the fulcrum of-measuring roll two ends;

I-measuring roll the moment of inertia.

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