CN101559437B - Roll shape curve design method for 4-high tandem cold rolling mill by taking complex wave control as target - Google Patents

Abstract

The invention discloses curve design technology for roll shapes of a work roll and a backup roll suitable for comprehensive control of complex waves of a 4-high tandem cold rolling mill, which comprises the following steps: (a) collecting parameters of equipment and process of the tandem cold rolling mill; (b) collecting description ranges of band steel; (c) determining roll shape curve parametersand optimized variables, and respectively setting curve equations of the work roll and the backup roll; (d) optimally calculating the roll shape curve parameters; and (e) substituting the roll shape curve parameters in the roll shape curve equations of the work roll and the backup roll to obtain the optimized roll shape curve equations of the work roll and the backup roll. According to field tests, the novel roll shape curve design and combination mode can effectively solve the problem of the complex waves of a common four-high mill.

Description

Four roller cold continuous rollings are the roller type curve design method of target with the complex seas control

Technical field

The present invention relates to a kind of cold continuous rolling production Technology, particularly a kind of working roll and backing roll roller curve designing technique that is suitable for the compound shape wave integrated control of four roller cold continuous rollings.

Background technology

In recent years, along with the fast development of process industry, the user is more and more harsher to the requirement of cold rolled sheet and coating product dimensional accuracy thereof.Plate shape is as the important quality index of strip material; It directly has influence on lumber recovery and the quality of follow-up deep processed product and the carrying out smoothly of deep processing of strip product, also is the middle requirement of product quality (comprising performance, thickness, plate shape and the surface quality) problem the strictest, that control least easily of cold rolled sheet steel.For working roll cannot the normal four-roller cold continuous rolling of play, because its online plate shape control device is less, so the design of roller curve just seemed and is even more important.In the past, on-the-spot design for the cold continuous rolling roller curve was often to a certain single shape wave, and as for the more situation of limit wave, often adopting the protruding roller of working roll, backing roll also is the roller curve collocation form of protruding roller or chamfered edge roller; For the more situation of middle wave, often adopt the roller curve collocation form of the recessed roller of working roll, backing roll plain-barreled roll.This roller curve collocation form, helpless often for compound shape wave, even can bring new shape wave defective.Special; Find according to literature search mechanism is retrieved the back with " roll shape "+" curve " as the keyword pair patent documentation relevant with the present invention, non-patent literature, other public technology, existing document for the design of roller curve mainly concentrate on skin pass rolling and working roll can the milling train of play on.Relatively more typical as: number of patent application be CN200610012600.5, exercise question for the patent of " a kind of roller type curve design method of thin narrow material smoothing and rolling process " with the normal four-roller planisher when thin narrow material is rolling, guarantee finished product mechanical performance index, to improve plate shape be that target proposes a kind of backing roll and working roller curve design; Number of patent application is CN200510029216.1, exercise question for the patent of " heat zincplating planisher roll shape curve design method " is a research object with the galvanizing planisher, and improving plate shape with the stability that guarantees zinc layer in the formation process simultaneously with the colored technological requirements such as uniformity of zinc is that target has proposed a kind of backing roll and working roller curve design; Be published in " iron and steel " magazine 2002 the 9th phase exercise question and only consider that for the paper of " researchs of Baosteel 2050 hot rolling mill planisher roll shape optimisation techniques " the plate shape problem of hot rolling and leveling machine has proposed one and overlapped working roll and backing roll roller curve design.Above-mentioned roll design technology is a research object with the skin pass rolling of little reduction ratio, and problem to be solved is different, and it is that the control of characteristics, complex seas is that the cold continuous rolling of target is rolling to depress rolling greatly that related art scheme can not be indiscriminately imitated of the present invention.Number of patent application is " a kind of backing roll of matched with working roller curve of continuous variable convex rolling mill ", number of patent application for the CN200410008195.0 exercise question all is with working roll can play formula milling train be research object for the CN200510046113.6 exercise question for patents such as " a kind of working rollers of taking into account control of plate shape and free regulation rolling " for " a kind of roll profile that changes roll gap convexity and variable roll gap shape that moves axially ", number of patent application for the CN95117449.5 exercise question for " a kind of cooperation moves axially the backing roll roll shape that changes roll gap convexity working roll ", number of patent application for the CN200510024680.1 exercise question, and reducing the roller consumption and improving plate shape is the roller curve that target designs.Above-mentioned roll design scheme all is to be goal in research with working roll play formula milling train, is suitable for the milling train roll design of CVC series, rely on play to combine to improve plate shape to reduce the roller consumption with roll shape, and also inapplicable to the normal four-roller cold continuous rolling.For this reason; The present invention fully takes into account the equipment and technology characteristics of four roller cold continuous rollings, and contains the production needs of plurality of specifications products such as soft or hard, thin and thick, width through a large amount of field experiment and theoretical research; With milling train outlet band forward pull cross direction profiles the most evenly is target; Consider the governing problem that presses of hard, thin, narrow material simultaneously, and roll gap pressure is evenly distributed as constraints, proposed new four roller cold continuous rolling working rolls and the backing roll roller curve design of a cover.Wherein, working roll adopts cosine curve backing roll adopts recessed (cosine curve) to equal the combining form of three kinds of curves of (straight line) protruding (high order curve) with the combining form of high order curve.The characteristic of this curve is to itemize with the high order curve of the subitem of the cosine in the working roller curve, backing roll limit portion and administer the limit wave; Partly administer with the high order curve of work in the roller curve and to press; With the spill cosine curve at backing roll middle part itemize reduce in wave.According to field trial, this novel roller curve designs the complex seas problem that can effectively administer the normal four-roller milling train with compound mode.In roller curve design proposed by the invention; Can utilize roller curve designing technique proposed by the invention according to the requirement of product mix, optimize the characteristic parameter of roller curve; Make roller curve can adapt to different plate shape situation; Both can administer compound shape wave and also can administer single shape wave, guarantee the stable of product strip shape quality, give the on-the-spot huge economic benefit of creating.The clear principle of the inventive method is clear, and computational speed is fast, is suitable for on-the-spot the use.

Summary of the invention

The objective of the invention is to set up a kind of working roll and backing roll roller curve designing technique that is suitable for the compound shape wave integrated control of four roller cold continuous rollings; The scene of assurance can require design suitable working roll and backing roll roller curve according to distinct device technological parameter and product mix; Satisfy the needs of on-the-spot plate shape control; Improvement with compound shape wave is attached most importance to, and simultaneously also can administer single shape wave, and can reduce firmly, approaches, presses problem between the roller in the narrow material operation of rolling.

To achieve these goals; It is the roller type curve design method of target with the complex seas control that the present invention proposes a kind of four roller cold continuous rollings; It has adopted following technical scheme: a kind of four roller cold continuous rollings are the roller type curve design method of target with the complex seas control, may further comprise the steps:

The equipment and the technological parameter of a, collection cold continuous rolling;

The description scope of b, collecting belt steel;

C, with a, b, c, k _w, d, e, f, g, k _bBe roller curve parameter and optimization variable, set the curvilinear equation of working roll and backing roll respectively.Wherein, the roller curve equation of setting working roll is:

$D_w\left(x\right)=D_w-a*(1-\cos (b_w\·\frac{2x}{L_w}))-c*{\left(\frac{2x}{L_w}\right)}^{k_w}$

The roller curve equation of setting backing roll is:

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b-d*(1-\cos (b_b\&CenterDot;\frac{\mathrm{\&pi;x}}{e}))& \left|x\right|\&le;e\\ D_b& e<\left|x\right|\&le;\frac{L_b}{2}-f\\ D_b-2*g*{\left(\frac{\left|x\right|-(L_b/2-f)}{f}\right)}^{k_b}& \left|x\right|>\frac{L_b}{2}-f\end{array}\right.$

In above-mentioned two formulas:

D _w-working roll green diameter (mm);

L _w-working roll barrel length (mm);

D _b-backing roll green diameter (mm);

L _b-backing roll barrel length (mm);

A-work roll crown value;

b _w-working roller curve cosine phase coefficient;

C-working roll high order curve partial safety factor;

k _w-working roll high order curve subitem index;

D-backing roll middle part cosine curve camber value;

b _b-backing roll middle part cosine curve phase coefficient;

Half of the width of e-backing roll middle part sag vertical curve;

F-backing roll high order curve length;

G-backing roll high order curve partial safety factor;

k _b-backing roll high order curve subitem index.

Need to prove; In above-mentioned curve form, subitem in the working roller, the effect of subitem in the backing roll roller curve mainly are to administer kink shape; The main effect of

subitem in the working roller curve is to administer to press;

subitem in the backing roll roller curve is main with wave in administering.Like this, according to the unit actual conditions, to a, b, c, k _w, d, e, f, g, k _bEtc. parameter carry out reasonably optimizing combination just can the effectively preventing complex seas.

D, computation optimization go out the roller curve parameter, may further comprise the steps:

D1), given initial curve parameter X ₀=[a, b, c, k _w, d, e, f, g, k _b];

D2), calculate ideal format product j at ground state bending roller force S ₀Pairing plate shape value σ _1ij, press length δ _jAnd roll gap pressure cross direction profiles value q _Ij

D3), judge δ _j≤δ _MaxWhether set up, if be false, adjustment roller curve parameter, repeating step d2);

D4), judge inequality $\left\{\begin{array}{c}{q}_{\mathrm{Ij}}<{\mathrm{\&sigma;}}_{\mathrm{Max}}\\ \frac{\mathrm{Max}\left(q_{\mathrm{Ij}}\right)-\mathrm{Min}\left(q_{\mathrm{Ij}}\right)}{\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{q}_{\mathrm{Ij}}}\&le;{\mathrm{\&beta;}}_{\mathrm{Max}}\end{array}\right.$ Whether set up, adjustment roller curve parameter, repeating step d2 simultaneously if be false), d3);

D5), calculate roll shape objective function of optimization design function G (X);

D6), judge whether the Powell condition is set up, if be false, repeat above-mentioned steps d2), d3) and

D4), set up, finish to calculate, draw optimum roller curve parameter until the Powell condition.

The roller curve equation of e, the working roll after the roller curve equation of the roller curve equation of above-mentioned roller curve parameter substitution working roll and backing roll is optimized and the roller curve equation of backing roll.

The equipment and the technological parameter of cold continuous rolling comprise described in the step (a): working roll barrel length L _W, work roll diameter D _W, backing roll barrel length L _b, backing roll diameter D _b, backing roll transmission side and active side housing screw centre-to-centre spacing l ₁, transmission side and active side roller hydraulic cylinder centre-to-centre spacing l ₂, maximum positive bending roller force S _Max ⁺, maximum negative bending roller force S _Max ^-, maximum draught pressure P, maximum mill speed V, the maximum stress σ that roll allowed _Max, the maximum roll gap pressure nonuniformity coefficient β that roll allowed _Max

The description scope of the steel of band described in the step (b) comprises strip width b, and thickness h, allows the amount of pressing δ between big roller at rolling strategy _Max

Steps d 2) S of ground state bending roller force described in ₀Can be expressed as $S_0=\frac{S_{\mathrm{Max}}^{+}-S_{\mathrm{Max}}^{-}}{2};$

Steps d 2) j of ideal format product described in is at ground state bending roller force S ₀Pairing plate shape value σ _1ij, press length δ _jAnd roll gap pressure cross direction profiles value q _IjCalculating adopt method described in document [1], [2] to calculate (document 1: Lian Jiachuan; Liu Hongmin. gauge and shape control [M]. Beijing: weapon industry publishing house, 1995. documents 2: Bai Zhenhua, Jiang Yuefeng; Li Xingdong; Deng. belt steel flating operation of rolling roller end presses Study on Problems [J] as thin as a wafer. mechanical engineering journal, 2006,42 (8): 224-228);

Steps d 4) function G of roll shape objective function of optimization design described in (X) can be defined as:

$G\left(X\right)=\underset{j=1}{\overset{m}{\mathrm{\&Sigma;}}}\sqrt{\frac{{\mathrm{\&alpha;}}_j\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{\&sigma;}}_{1\mathrm{ij}}-{\mathrm{\&beta;}}_{\mathrm{ij}})}^2}{T_{1j}}}$

In the formula: the number of m-ideal format product;

T _1jThe average forward pull of-Di j ideal format product;

β _Ij-Di j ideal format product is the target setting plate shape of i section;

α _j-weight coefficient;

The n-band is at horizontal bar unit number.

Description of drawings

Do further bright in detail specifically below in conjunction with the accompanying drawing specific embodiments of the invention.

Fig. 1 is the working roller curve sketch map;

Fig. 2 is a backing roll roller curve sketch map;

Fig. 3 is the computation optimization block diagram of roll shape characteristic parameter;

Fig. 4 is working roll and the backing roll roller curve design flow diagram that is suitable for the compound shape wave integrated control of four roller cold continuous rollings.

The specific embodiment

Fig. 4 is working roll and the backing roll roller curve design flow diagram that is suitable for the compound shape wave integrated control of four roller cold continuous rollings according to of the present invention.Existing to describe working roll and the backing roll roller curve design process that specific four-roll five-machine frame tandem mills is a target with compound shape wave integrated control by means of Fig. 4.

At first, in step 1, working roll barrel length L _w=1420mm, work roll diameter D _w=470mm, backing roll barrel length L _b=1290mm, backing roll diameter D _b=1300mm, backing roll transmission side and active side housing screw centre-to-centre spacing l ₁=2.55m, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre-to-centre spacing l ₂=2.56m.Maximum positive bending roller force 60t, maximum negative bending roller force-40t, maximum draught pressure 1500t, maximum mill speed 1800m/min, the maximum stress σ that roll allowed _Max=1800Mpa, the maximum roll gap pressure nonuniformity coefficient β that roll allowed _Max=0.6;

Subsequently, in step 2, the description scope of collecting belt steel: choose 17 kinds of ideal format products according to product thickness, width, strength grade combination, provide the rolling strategy and the proportion weighted alpha of production output in total output of each products _j, concrete data to shown in the table 3, allow the amount of pressing δ between big roller like table 1 _Max=100 μ m;

The typical MRT products of table 1

The typical Stw22 products of table 2

The typical SPCC products of table 3

Annotate: the rolling strategy of Distrib-, P-roll-force;

Subsequently, in step 3, with a, b, c, k _w, d, e, f, g, k _bBe roller curve parameter and optimization variable, set the curvilinear equation of working roll and backing roll respectively.Wherein, the roller curve equation of setting working roll does $D_w\left(x\right)=D_w-a*(1-\mathrm{Cos}(b_w\&CenterDot;\frac{2x}{L_w}))-c*{\left(\frac{2x}{L_w}\right)}^{k_w},$ The roller curve equation of backing roll does

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b-d*(1-\cos (b_b\&CenterDot;\frac{\mathrm{\&pi;x}}{e}))& \left|x\right|\&le;e\\ D_b& e<\left|x\right|\&le;\frac{L_b}{2}-f\\ D_b-2*g*{\left(\frac{\left|x\right|-(L_b/2-f)}{f}\right)}^{k_b}& \left|x\right|>\frac{L_b}{2}-f\end{array}\right.;$

Subsequently, in step 4, given initial curve parameter X ₀=[a, b, c, k _w, d, e, f, g, k _b]=[1.0,1.0,1.0,0,0,0,0,0,0];

Subsequently, in step 5, calculate ideal format product j at ground state bending roller force S ₀Pairing plate shape value σ _1ij, press length δ _jAnd roll gap pressure cross direction profiles value q _IjTo shown in the table 6, provide the maximin (σ of corresponding plate shape cross direction profiles like table 4 _1ij) _Max, (σ _1ij) _MinPress length δ _jMaximin (the q of roll gap pressure cross direction profiles _Ij) _Max, (q _Ij) _Min

The plate shape value of the typical MRT products of table 4

The plate shape value of the typical Stw22 products of table 5

The typical plate shape value of the typical SPCC products of table 6

Subsequently, in step 6, judge δ _j≤δ _MaxWhether set up, obviously set up;

Subsequently, in step 7, judge inequality $\left\{\begin{array}{c}{q}_{\mathrm{Ij}}<{\mathrm{\&sigma;}}_{\mathrm{Max}}\\ \frac{\mathrm{Max}\left(q_{\mathrm{Ij}}\right)-\mathrm{Min}\left(q_{\mathrm{Ij}}\right)}{\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{q}_{\mathrm{Ij}}}\&le;{\mathrm{\&beta;}}_{\mathrm{Max}}\end{array}\right.$ Whether set up simultaneously, set up according to calculating inequality;

Subsequently, in step 8, calculate roll shape objective function of optimization design function G (X)=1.879;

Subsequently, in step 9, call the Powell optimizer, set up, finish to calculate, draw optimum roller curve parameter until the Powell condition

$X=[a,b,c,k_w,d,e,f,g,k_b]=[2.12\&CenterDot;{10}^{-5},\frac{65\mathrm{\&pi;}}{180},6.1\&CenterDot;{10}^{-5},\mathrm{6,0.015},\frac{2\mathrm{\&pi;}}{400},\mathrm{200,320,0.12,3.2}];$

Subsequently, in step 10, the roller curve equation of the working roll after the roller curve equation of the roller curve equation of roller curve parameter substitution working roll and backing roll is optimized and the roller curve equation of backing roll are following: $D-2.12\&CenterDot;{10}^{-5}*(1-\mathrm{Cos}\left(\frac{65\mathrm{\&pi;}}{180}\frac{2x}{l_b}\right))-6.1\&CenterDot;{10}^{-5}*{\left(\frac{2\left|x\right|}{l_b}\right)}^6,$ $D_b\left(x\right)=\left\{\begin{array}{cc}D-0.015*(1-\mathrm{Cos}\left(\frac{2\mathrm{\&pi;\; x}}{400}\right)& \left|x\right|\&le;200\\ D& 200<\left|x\right|\&le;320\\ D-2*0.12*{\left(\frac{\left|x\right|-(L/2-320)}{320}\right)}^{3.2}& \left|x\right|>320\end{array}\right..$

Claims (2)

1. a roller cold continuous rolling is the roller type curve design method of target with the complex seas control, it is characterized in that: may further comprise the steps:

(a) equipment and the technological parameter of collection cold continuous rolling: working roll barrel length L _W, work roll diameter D _W, backing roll barrel length L _b, backing roll diameter D _b, backing roll transmission side and active side housing screw centre-to-centre spacing l ₁, transmission side and active side roller hydraulic cylinder centre-to-centre spacing l ₂, maximum positive bending roller force

The maximum negative bending roller force Maximum draught pressure P, maximum mill speed V, the maximum stress σ that roll allowed _Max, the maximum roll gap pressure nonuniformity coefficient β that roll allowed _Max

(b) the description scope of collecting belt steel: strip width b, thickness h, allows the amount of pressing δ between big roller at rolling strategy _Max

(c) confirm roller curve parameter and optimization variable: a, b, c, k _w, d, e, f, g, k _b, set the curvilinear equation of working roll and backing roll respectively, wherein,

The roller curve equation of working roll is:

The roller curve equation of backing roll is:

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b-d*(1-\cos (b_b.\frac{\mathrm{\&pi;x}}{e}))& \left|x\right|\&le;e\\ D_b& e<\left|x\right|\&le;\frac{L_b}{2}-f\\ D_b-2*g*{\left(\frac{\left|x\right|-(L_b/2-f)}{f}\right)}^{k_b}& \left|x\right|>\frac{L_b}{2}-f\end{array}\right.$

In above-mentioned two formulas, D _wBe working roll green diameter, L _wBe working roll barrel length, D _bBe backing roll green diameter, L _bFor backing roll barrel length, a are work roll crown value, b _wFor working roller curve cosine phase coefficient, c are working roll high order curve partial safety factor, k _wFor working roll high order curve subitem index, d are backing roll middle part cosine curve camber value, b _bFor backing roll middle part cosine curve phase coefficient, e are that half the, the f of the width of backing roll middle part sag vertical curve is that backing roll high order curve length, g are backing roll high order curve partial safety factor, k _bBe backing roll high order curve subitem index;

(d) computation optimization goes out the roller curve parameter;

(e) with the roller curve equation of above-mentioned roller curve parameter substitution working roll and the roller curve of backing roll

The roller curve equation of the working roll after equation is optimized and the roller curve equation of backing roll.

2. four roller cold continuous rollings according to claim 1 are the roll shape of target with the complex seas control

Curve design method is characterized in that: the process that computation optimization described in the step (d) goes out the roller curve parameter may further comprise the steps:

D1), given initial curve parameter X ₀=[a, b, c, k _w, d, e, f, g, k _b];

D2), calculate ideal format product j at ground state bending roller force S ₀Pairing plate shape value σ _1ij, press length δ _jAnd roll gap pressure cross direction profiles value q _Ij, said ground state bending roller force is expressed as:

D3), judge δ _j≤δ _MaxWhether set up, if be false, adjustment roller curve parameter, repeating step d2);

D4), judge whether inequality

is set up simultaneously; If be false; Adjustment roller curve parameter, repeating step d2), d3);

D5), calculate roll shape objective function of optimization design function G (X),

$G\left(X\right)=\underset{j=1}{\overset{m}{\mathrm{\&Sigma;}}}\sqrt{\frac{{\mathrm{\&alpha;}}_j\underset{i=1}{\overset{n}{\mathrm{\&Sigma;}}}{({\mathrm{\&sigma;}}_{1\mathrm{ij}}-{\mathrm{\&beta;}}_{\mathrm{ij}})}^2}{T_{1j}}}$

In the formula: the number of m-ideal format product;

T _1jThe average forward pull of-Di j ideal format product;

-j ideal format product is the target setting plate shape of i section;

α _j-weight coefficient;

The n-band is at horizontal bar unit number.；

D6), judge whether the Powell condition is set up, if be false, repeat above-mentioned steps d2), d3) and d4), set up until the Powell condition, finish to calculate, draw optimum roller curve parameter.

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