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

Abstract

The invention discloses a system error comprehensive compensation technology suitable for flatness detection equipment of a strip rolling mill, which is characterized by: a. collecting main structural parameters of the flatness testing equipment of a strip rolling mill; Result parameters; c. Calculate the plate shape measurement error caused by the verticality deviation of the detection roller; d. Calculate the plate shape measurement error caused by the levelness deviation of the detection roller; e. Calculate the measurement error caused by the detection roller wear The tension detection deviation caused; f. Calculate the tension detection deviation caused by the comprehensive influence of the verticality and levelness deviation of the detection roller and the surface wear of the detection roller; g. Calculate the initial value of the actual tension lateral distribution; h. Calculate The additional tension difference caused by the deflection of the detection roller under the current stress condition; i. the actual tension lateral distribution after calculating the additional tension difference caused by the deflection of the detection roller; j. the judgment of the convergence condition; k . Output the comprehensive compensation value of the shape; l. End the calculation. The technology of the present invention can be used to quantitatively calculate the comprehensive influence of factors such as deflection, inclination, and wear of the detection roll under different tensions and strip shapes on the measurement accuracy of the strip shape, thereby effectively improving the quality of the physical strip shape at the exit of the rolling mill. bring economic benefits on site.

Description

Comprehensive Compensation Technology for System Error of Flatness Testing Equipment in Strip Mill

technical field

The invention relates to a cold continuous rolling production process technology, in particular to a comprehensive compensation technology for system errors of flatness detection equipment suitable for strip rolling mills.

Background technique

In recent years, with the rapid development of the manufacturing industry, users have become more and more demanding on the shape accuracy of the finished strip. In the rolling production process, in order to control the shape quality of the finished product, a set of shape meter is generally installed at the exit of the finished product frame, and then according to the measurement results of the shape meter, it is fed back to the rolling mill and cooled by tilting rolls, bending rolls, and spot cooling. The flat shape control method performs feedback control on the real flat shape to form a flat shape closed-loop control system, and finally achieves the purpose of improving the real flat shape. That is to say, for the flatness closed-loop control system, flatness detection is the premise and foundation, and all flatness control methods such as tilting rolls, bending rolls, point cooling, etc. are based on the detection results of flatness testing equipment . In this way, if the measured value of the plate shape is distorted due to some reasons (such as deflection, inclination, wear, etc. of the detection roller), there will be a certain error between the measured value and the actual value. Then, based on the distorted shape measurement value, the closed-loop control of the shape is carried out, which will inevitably affect the quality of the actual shape of the finished product. At present, for the compensation of the system error of the flatness detection equipment, the relevant researches at home and abroad mainly focus on the temperature compensation, but for the deflection, inclination (including vertical and horizontal inclination) and wear of the detection roller, etc. The comprehensive impact of measurement accuracy is mainly at the qualitative research level. How to quantitatively compensate for measurement errors and reduce the gap between the measured shape and the actual shape is still the focus of on-site research for various iron and steel enterprises. For this reason, on the basis of a large number of field tests and theoretical researches, the present invention fully combines the structure and process characteristics of the flatness detection equipment of strip mills, combines classical mechanics theory with modern computing technology, and establishes a set of equipment suitable for the first time. The error analysis technology of the flatness detection equipment system of the strip mill, and the corresponding error comprehensive compensation scheme is given. Through this technology, the deflection, inclination, wear and other factors of the detection roll under different tensions and flatness can be quantitatively calculated. The comprehensive influence of shape measurement accuracy can effectively improve the physical shape quality at the exit of the rolling mill and bring economic benefits to the site. The principle of the method of the invention is clear, the calculation speed is fast, and it is suitable for on-line use on site.

Contents of the invention

In order to solve the above-mentioned technical problems, the present invention proposes a comprehensive error compensation technology for the flatness detection equipment system of a strip mill, through the quantitative compensation of the comprehensive influence of the deflection, inclination, wear and other factors of the detection roll on the flatness measurement accuracy, reducing The deviation between the measured value of the shape and the actual value can improve the control accuracy of the shape and meet the needs of users.

In order to achieve the above object, the present invention adopts the following technical solutions: a comprehensive error compensation technology for flatness detection equipment of a strip mill, comprising the following steps:

(a) Collect the main structural parameters of the flatness testing equipment of the strip mill, mainly including the distance L ₀ between the support points on both sides of the testing roll, the width of the force ring of the testing roll Δx, the number of pressure rings n, and the level deviation δ of the testing roll _s , the verticality deviation δ _h of the detection roller, the surface wear coefficient of the detection roller a ₀ , a ₁ , a ₂ , a ₃ , a ₄ , a ₅ , a ₆ , the wrap angle θ ₁ between the detection roller and the strip, θ ₂ , the length L of the detection roller body, and the lengths of the strips on both sides of the detection roller are L ₁ and L ₂ respectively;

(b) Collect specification parameters and test result parameters of strip steel, mainly including: thickness h of strip steel, width B of strip steel, fitting coefficients A ₀ , A ₁ , A ₂ , A ₃ , A ₄ ;

(c) Calculate the plate shape measurement error Δσ _hi caused by the verticality deviation δ _h of the detection roller, the basic equation is:

$\mathrm{<span\; class="notranslate">\; \&Delta;</span>}{\mathrm{<span\; class="notranslate">\; \&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; hi</span>}}<span\; class="notranslate">\; =</span>\frac{\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; h</span>}}\frac{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; h</span>}}\frac{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; cos</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; h</span>}}\frac{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; h</span>}}\frac{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; cos</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; \&Center\; Dot;</span>{\mathrm{<span\; class="notranslate">\; 10</span>}}^{\mathrm{<span\; class="notranslate">\; 5</span>}}$

In the formula: x _i —coordinate of the i-th point along the transverse direction of the strip;

i—Any point when the strip is divided into equal parts according to the width of the force ring of the detection roller.

(d) Calculate the plate shape measurement error Δσ _si caused by the level deviation δ _s of the detection roller, the basic equation is as follows:

$\mathrm{<span\; class="notranslate">\; \&Delta;</span>}{\mathrm{<span\; class="notranslate">\; \&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; si</span>}}<span\; class="notranslate">\; =</span>\frac{\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\frac{{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; (</span>\frac{{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; sin</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\frac{{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>\frac{{\mathrm{<span\; class="notranslate">\; \&delta;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{\mathrm{<span\; class="notranslate">\; L</span>}}{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; sin</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; \&Center\; Dot;</span>{\mathrm{<span\; class="notranslate">\; 10</span>}}^{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; ;</span>$

(e) Calculate the plate shape detection deviation Δσ _mi caused by the wear of the detection roller, and its basic model is as follows:

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

In the formula: δ _i - the amount of wear of the roll at point i, ${\mathrm{\&delta;}}_i=\underset{j=0}{\overset{6}{\mathrm{\&Sigma;}}}{a}_j{x}_i^j$

(f) Calculate the plate shape detection deviation Δσh _smi caused by the comprehensive influence of the verticality and levelness deviation of the detection roller and the surface wear of the detection roller. The basic model is:

Δσh _smi = Δσ _hi + Δσ _si + Δσ _mi

(g) Deduct the tension detection deviation caused by the verticality and levelness deviation of the detection roller and the surface wear of the detection roller from the actual flatness measurement value, and calculate the initial value σ _0i of the actual flatness distribution:

${\mathrm{<span\; class="notranslate">\; \&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; \&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; \&Delta;\&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; hsmi</span>}}<span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; j</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0</span>}}{\overset{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; \&Delta;\&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; hsmi</span>}}$

In the formula: σ _i — flatness measurement of flatness testing equipment, ${\mathrm{\&sigma;}}_i=\underset{j=0}{\overset{4}{\mathrm{\&Sigma;}}}{A}_j{x}_i^j$

(h) Calculate the additional plate shape Δσ _fi caused by the deflection of the detection roller under the current stress condition, and its basic model is:

${\mathrm{<span\; class="notranslate">\; \&Delta;\&sigma;</span>}}_{\mathrm{<span\; class="notranslate">\; the\; fi</span>}}<span\; class="notranslate">\; =</span>\frac{\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}\mathrm{<span\; class="notranslate">\; cos</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}<span\; class="notranslate">\; +</span>\sqrt{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}\mathrm{<span\; class="notranslate">\; cos</span>}{\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}}{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00132.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="L"\; filenames="A200910073992E00121.png,A200910073992E00123.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; \&Center\; Dot;</span>{\mathrm{<span\; class="notranslate">\; 10</span>}}^{\mathrm{<span\; class="notranslate">\; 5</span>}}$

In the formula: f _i —deflection of detection roller at position i, $f_i=\underset{j=1}{\overset{\mathrm{no}}{\mathrm{\&Sigma;}}}{f}_{\mathrm{ij}};$

f _ij — the deflection produced by the force of point j on the detection roller at point i,

${\mathrm{<span\; class="notranslate">\; f</span>}}_{\mathrm{<span\; class="notranslate">\; ij</span>}}<span\; class="notranslate">\; =</span>\left\{\begin{array}{cc}\frac{{\mathrm{<span\; class="notranslate">\; P</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; )</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; 6</span>}{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}\mathrm{<span\; class="notranslate">\; EI</span>}}<span\; class="notranslate">\; [</span>{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; ]</span>& \mathrm{<span\; class="notranslate">\; 0</span>}<span\; class="notranslate">\; \&le;</span>\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; <</span>\mathrm{<span\; class="notranslate">\; j</span>}\\ \frac{{\mathrm{<span\; class="notranslate">\; P</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; )</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{\mathrm{<span\; class="notranslate">\; 6</span>}{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}\mathrm{<span\; class="notranslate">\; EI</span>}}<span\; class="notranslate">\; [</span>{{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="0"\; label="L"\; filenames="A200910073992E00123.png,A200910073992E00141.png"\; state="\{\{state\}\}">L</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; L</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>{{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; ]</span><span\; class="notranslate">\; +</span>\frac{{\mathrm{<span\; class="notranslate">\; P</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}{<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; -</span>{\mathrm{<span\; class="notranslate">\; x</span>}}_{\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 3</span>}}}{\mathrm{<span\; class="notranslate">\; 6</span>}}& \mathrm{<span\; class="notranslate">\; j</span>}<span\; class="notranslate">\; \&le;</span>\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; \&le;</span>\mathrm{<span\; class="notranslate">\; no</span>}\end{array}\right.<span\; class="notranslate">\; ;</span>$

P _j —compressive stress on any jth stressed ring of the detection roller, P _j =σ _0j Δxh(cosθ ₁ +cosθ ₂ )·2.3·10 ⁶ ;

x _i — position of point i;

x _j — the distance from the jth applied load to the origin;

E—the modulus of elasticity of the strip;

L ₀ —the distance between the fulcrums at both ends of the detection roller;

I—Inertia moment of detection roller.

(i) Calculate the actual shape distribution σ′ _0i after considering the additional tension difference caused by the deflection of the detection roller, σ′ _0i =σ _i -Δσ _hsmi -Δσ _fi

(j) Judgment inequality $\frac{1}{\frac{1}{\mathrm{no}}\underset{i=1}{\overset{\mathrm{no}}{\mathrm{\&Sigma;}}}{\mathrm{\&sigma;}}_{0i}}\sqrt{\frac{\underset{i=1}{\overset{\mathrm{no}}{\mathrm{\&Sigma;}}}{({\mathrm{\&sigma;}}_{0i}-{\mathrm{\&sigma;}\&prime;}_{0i})}^2}{\mathrm{no}}}\&le;0.001$ Is it established? If it is true, go to step (k), if not, set σ _0i =σ′ _0i , and go to step (h), until the inequality is true. (k) Output the composite shape compensation value Δσ _i = Δσ _hi + Δσ _si + Δσ _mi + Δσ _fi .

(1) End calculation.

To sum up, through the relevant technical solutions of the present invention, it is possible to effectively compensate the flatness defect caused by the measurement error of the detection roller, and improve the on-site flatness control capability. Take a 1220 five-stand cold tandem rolling mill as an example. Before the implementation of the patent of the present invention, the average blockage rate of shape defects in the unit in 2005 was 2.15‰; from January 2006 to July 2006, the average blockage rate of shape defects was 2.37‰; From August to December 2006, the average blockage rate of shape defects was 0.52‰, which created great economic benefits for the site.

Description of drawings

The specific implementation manners of the present invention will be described in further detail below in conjunction with the accompanying drawings.

Fig. 1 is a position diagram of the shape detection roller of a strip mill;

Fig. 2 (a) is a simplified side view of the verticality deviation distribution of the shape detection roller;

Fig. 2 (b) is a simplified front view of the verticality deviation distribution of the shape detection roller;

Figure 3 (a) is a simplified side view of the distribution of the levelness deviation of the shape detection roller;

Fig. 3 (b) is a simplified front view of the flatness deviation distribution of the shape detection roller;

Fig. 4 (a) is a schematic diagram of detection roller wear;

Fig. 4 (b) is a diagram of the change of the strip steel at the worn part of the detection roller;

Fig. 5 is a force diagram during the working process of the detection roller;

Fig. 6 is a block diagram of comprehensive compensation calculation of system error of flatness detection equipment of strip rolling mill;

Fig. 7 is a display diagram of the flatness measurement results of the flatness detection device in the embodiment of the present invention;

Fig. 8 is a display diagram of the plate shape measurement error caused by the verticality deviation of the detection roller in the embodiment of the present invention;

Fig. 9 is a display diagram of the plate shape measurement error caused by the level deviation of the detection roller in the embodiment of the present invention;

Fig. 10 is a display diagram of the plate shape detection deviation caused by the comprehensive influence of the verticality and levelness deviation of the detection roller and the surface wear of the detection roller in the embodiment of the present invention;

Fig. 11 is an initial value display diagram of the actual plate shape distribution in the embodiment of the present invention;

Fig. 12 is a display diagram showing the distribution of the deflection curve of the detection roller in the embodiment of the present invention;

Figure 13 is the actual plate shape distribution diagram after considering the additional tension difference caused by the deflection of the detection roller in the embodiment of the present invention;

Fig. 14 is a display diagram of comprehensive compensation value of plate shape in the embodiment of the present invention.

Detailed ways

Fig. 6 is a block diagram of the system error comprehensive compensation calculation of the flatness detection equipment of the strip rolling mill according to the present invention. Taking the shape detection roll with a rear roll body length of 1436mm and a roll diameter of 313mm as an example in a five-stand cold tandem rolling mill as an example, the system error synthesis of the strip steel of a specific specification on the shape detection equipment is described with the help of Figure 6 compensation process. Accompanying drawing 1 is a position diagram of the shape detection roller of the strip rolling mill.

First, in step 1, collect the main structural parameters of the flatness testing equipment of the strip rolling mill, mainly including the distance between the support points on both sides of the testing roll L ₀ =1620mm, the width of the force ring of the testing roll Δx=52, and the number of pressure rings n=22, the horizontality deviation of the detection roller δ _s =0.1mm, the verticality deviation of the detection roller δ _h =0.05mm, the surface wear coefficient of the detection roller a ₀ =0, a ₁ =0, a ₂ =0, a ₃ ＝0, a ₄ ＝0, a ₅ ＝0, a ₆ ＝0, wrapping angle θ ₁ =90° between detection roll and steel strip, θ ₂ =28°, detection roll body length L=1436mm, detection The lengths of the strips on both sides of the roller are L ₁ =2.5 mm and L ₂ =3.5 mm, respectively.

Then, in step 2, the specification parameters and test result parameters of the strip steel are collected, mainly including: the strip steel thickness h=0.5mm, the strip steel width B=1040mm, the shape measurement result fitting coefficient A of the shape detection equipment ₁ = 0, A ₂ = 10, A ₃ = 0, A ₄ = 4, and its shape display diagram is shown in Figure 7;

Then, in step 3, as shown in Figure 2, the distribution map of the verticality deviation of the plate shape detection roller is given, and the plate shape measurement error Δσ _hi caused by the verticality deviation δ _h = 0.05mm of the detection roller is calculated, using Curve representation as shown in Figure 8;

Then, in step 4, as shown in Figure 3, the distribution map of the levelness deviation of the plate shape detection roller is given, and the plate shape measurement error Δσ _si caused by the levelness deviation δ _s = 0.1mm of the detection roller is calculated, using Curve representation as shown in Figure 9;

Then, in step 5, as shown in Figure 4, a schematic diagram of the wear of the detection roller and a change map of the strip steel at this position are given, and the detection deviation of the plate shape caused by the wear of the detection roller is calculated Δσ _mi =0;

Then, in step 6, the plate shape detection deviation Δσ _hsmi caused by the comprehensive influence of the verticality and levelness deviation of the detection roller and the surface wear of the detection roller is calculated, which is represented by the curve shown in Figure 10;

Then, in step 7, the tension detection deviation caused by the verticality and levelness deviation of the detection roller and the surface wear of the detection roller is deducted from the actual flatness measurement value, and the initial value σ _0i of the actual flatness distribution is calculated, Expressed by the curve shown in Figure 11;

Then, in step 8, as shown in Figure 5, the force diagram during the working process of the detection roller is given, and the additional plate shape Δσ _fi ( ${\mathrm{\&Delta;\&sigma;}}_{\mathrm{the\; fi}}=\frac{\sqrt{L_1^2+f_i^2-2L_1{f}_i\cos {\mathrm{\&theta;}}_1}+\sqrt{L_2^2+f_i^2-2L_2{f}_i\cos {\mathrm{\&theta;}}_2}-L_2-L_1}{L_1+L_2}\&Center\; Dot;{10}^5,$ In the formula: f _i is the deflection of the detection roller at position i, $f_i=\underset{j=1}{\overset{\mathrm{no}}{\mathrm{\&Sigma;}}}{f}_{\mathrm{ij}};$ f _ij is the deflection generated by the force of point j on the detection roller at point i, $f_{\mathrm{ij}}=\left\{\begin{array}{cc}\frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]& 0\&le;i<j\\ \frac{P_j(L_0-x_j)x_i}{6L_0\mathrm{EI}}[{L_0}^2-{(L_0-x_j)}^2-{x_i}^2]+\frac{P_j{(x_i-x_j)}^3}{6}& j\&le;i\&le;\mathrm{no}\end{array}\right.;$ P _j is the compressive stress on any jth stressed ring of the detection roller, P _j =σ _0j Δxh(cosθ ₁ +cosθ ₂ )·2.3·10 ⁶ ; x _i is the position of point i; x _j is the position of point i j is the distance from the applied load to the origin; E is the elastic modulus of the strip; L ₀ is the distance between the fulcrums at both ends of the detection roller; I is the moment of inertia of the detection roller. ) as shown in Figure 12, which gives the distribution of the detection roller deflection curve.

Then, in step 9, after calculating the additional tension difference that takes into account the deflection of the detection roller

until established.

Then, in step 12, output the plate shape comprehensive compensation value Δσ _i = Δσ _hi + Δσ _si + Δσ _mi + Δσ _fi , as shown in Figure 14;

Finally, end the calculation.

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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