CN100385446C - Roller type curve design method in thin narrow material smoothing and rolling process - Google Patents

Abstract

The present invention provides a roller type curve design method of a work roller and a supporting rolling at the time of rolling thin narrow materials by ordinary four-roller planishing mills. The present invention has the steps that (a), equipment and process parameters of a planishing mill are collected; (b), the variety specification range of strip steel is collected; (e), the curve parameters of roll shapes are substituted the curvilinear equation of the roller shape of the working roller and the curvilinear equation of the roller shape of the supporting roller to obtain the optimized curvilinear equation of the roll shape of the working roll and the optimized curvilinear equation of the roller shape of the supporting roller; (d), the curve parameters of roll shapes are optimized and calculated; (e), the curve parameters of roll shapes are substituted the curvilinear equation of the roller shape of the working roller and the curvilinear equation of the roller shape of the supporting roller to obtain the optimized curvilinear equation of the roll shape of the working roll and the optimized curvilinear equation of the roller shape of the supporting roller; the roller shape curved lines of the work roller and the supporting roller designed by the present invention ensures the mechanical performance index of the final products, and meets the quality requirement of plate shapes of users. A clarification is that although the present invention is mainly used for curve design of the roller shapes at the time of flattening the thin narrow materials, simultaneously, the present invention can also be used for curve design of the roller shapes at the time of flattening massive materials without pressing and leaning problems.

Description

A kind of roller type curve design method of thin narrow material smoothing and rolling process

Technical field

The present invention relates to a kind of smooth designing technique, particularly a kind of at working roll and the backing roll roller curve Optimization Design of normal four-roller planisher when the rolling thin narrow material.

Background technology

Find in the production practices, the normal four-roller planisher is when rolling thin narrow material, working roll presses phenomenon in the what is called that flattening can appear being in contact with one another beyond wide in plate, a feasible setting draught pressure only part is used for flow of metal, other parts then consume at the roller end of working roll and flatten, thereby cause actual extensibility less than normal, mechanical performance of products does not reach user's requirement.And after pressing generation, along with the increase of draught pressure, its ratio that consumes on the working roll roller end flattens also increases thereupon.After draught pressure increased to a certain degree, the draught pressure of Zeng Jiaing had nearly all consumed on pressing again, and extensibility tangible increase can not occur yet.Meanwhile, because normal four-roller planisher its working roll in formation process is that total length contacts with backing roll along the body of roll, beyond plate is wide, just formed a harmful contact region like this, make the lateral stiffness of planisher reduce, thereby influence the plate shape index of smooth finished product, also make roller that the regulating power of plate shape is reduced (see figure 1) greatly.Like this, how to guarantee the extensibility (mechanical property) and plate shape index of normal four-roller planisher product when rolling thin narrow material simultaneously, just become the emphasis and the difficult point of site technology tackling key problem.

To press influence and eliminate between roller harmful contact region simultaneously in order to control, past people is generally only considered problems such as plate shape, roller consumption for the roll design of planisher, for example: the Baosteel 18003#CGL galvanizing planisher roll shape Study on Technology that Bai Zhenhua, Gu Tingquan and Wu Anmin etc. deliver, " Chinese mechanical engineering " 2006,17 (1); 33-35; Bai Zhenhua, Lian Jiachuan, the research " iron and steel " 2002,37 (9) of the Baosteel 2050 hot rolling mill planisher roll shape optimisation techniques that Liu Feng and Wang Jianqiang deliver; 35-38; These disclosed technical research objects mainly are rolling common bands, are research object, guarantee that simultaneously the roll design method of product mechanical property and plate shape index sees document and still find no with thin narrow material group.

Summary of the invention

The object of the present invention is to provide a kind of roller type curve design method of thin narrow material smoothing and rolling process, the influence that makes the planisher of the type can control simultaneously when rolling thin narrow material to press is harmful to the contact region with eliminating between roller, not only guaranteed the extensibility index of finished product, and satisfied the requirement of user strip shape quality.

The technical solution adopted for the present invention to solve the technical problems is: the roller type curve design method of this thin narrow material smoothing and rolling process comprises the following step of being carried out by computer system:

The equipment and the technological parameter of a, collection planisher comprise: 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 distance l ₁, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre distance l ₂, maximum bending roller force S, maximum draught pressure P and maximum mill speed V;

The description scope of b, collecting belt steel comprises: strip width b, thickness h, tensile strength sigma _bWith the minimum extensibility ε of permission _Min

C, with a, b, c, k ₁, δ, l _z, g is roller curve parameter and optimization variable, sets the curvilinear equation of working roll and backing roll respectively.Wherein, the roller curve equation of setting working roll is:

$D_w\left(x\right)=D_w-a(1-\cos \left(b\frac{2x}{L_w}\right))-c{\left(\frac{2x}{L_w}\right)}^{{\mathrm{<figure-callout\; id="1"\; label="k"\; filenames="C20061001260000141.png"\; state="\{\{state\}\}">k</figure-callout>}}_1}$

The roller curve equation of setting backing roll is:

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b& \left|x\right|\&le;(L_b/2-l_z)\\ D_b-2\mathrm{\&delta;}{\left(\frac{\left|x\right|-(L_b/2-l_z)}{l_z}\right)}^k& \left|x\right|>(L_b/2-l_z)\end{array}\right.$

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-cosine phase coefficient;

C-working roll high order curve partial safety factor;

k ₁-working roll high order curve subitem index;

l _z-backing roll roller curve sloping shoulders length (mm);

δ-backing roll roller curve sloping shoulders the degree of depth (mm);

G-backing roll roller curve index;

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 ₁, δ, l _z, g];

D2), calculate the best bending roller force Sa of ideal format product j _jAnd corresponding extensibility ε _Aj

D3), judge ${\mathrm{\&epsiv;}}_{a_j}\&GreaterEqual;{\mathrm{\&epsiv;}}_{\min }$ Whether set up,, adjust the roller curve parameter, repeating step d2) if be false;

D4), calculate roll shape objective function of optimization design function G (X);

D5), 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;

E, the roller curve equation of above-mentioned optimum roller curve parameter substitution working roll and the roller curve equation of backing roll are obtained the roller curve equation of optimum working roll and the roller curve equation of optimum backing roll;

Finding the solution of best bending roller force Sa described in the step (d) comprises the following step (see figure 3) of being carried out by computer system:

D21) the calculating step delta S of given bending roller force, labeling function biaoji=100, plate shape objective function initial value F ₀=10 ¹¹, and get calculation times k=1;

D22) given bending roller force S=S_+ (k-1) Δ S (if the maximum negative bending roller force of S_-is planisher not negative roller, then S_=0);

D23) calculate corresponding extensibility ε;

D24) judge S 〉=S ₊Whether set up simultaneously with biaoji＞0,, then make S if set up _a=S ₊, ε _a=ε changes steps d 210 over to);

D25) judge ε 〉=ε _MinWhether set up, if be false, order: k=k+1) if changing steps d 22 over to;

D26) calculate corresponding band forward pull cross direction profiles value σ _1i

D27) calculate the value of ejecting plate shape objective function F (X), and make biaoji=-100;

D28) judge F (X)≤F ₀Whether set up, if set up then order: F ₀=F (X), S _a=S, ε _a=ε

D29) judge S _a≤ S ₊Whether set up, if set up then order: k=k+1) if changing steps d 22 over to; Otherwise change steps d 210 over to);

D210) best bending roller force Sa of output and corresponding extensibility ε _a

Steps d 27) objective function F of plate shape described in (X) can be represented with following formula:

F(X)＝((max(σ _1i)-min(σ _1i))/T ₁)

In the formula: T ₁The mean value of-forward pull;

Roll shape objective function of optimization design function G (X) can be defined as described in the step (d):

$G\left(X\right)=\underset{i=1}{\overset{m}{\mathrm{\&Sigma;}}}{[S_{\mathrm{ai}}-S_{\mathrm{jitai}}]}^2$

In the formula: S _Ai-under specific roll shape, i specification product satisfies the minimum best bending roller force of objective function F (X);

S _Jitai-ground state bending roller force.

The invention has the beneficial effects as follows: this invention is on the basis of production technology characteristic when fully taking into account the rolling thin narrow material of normal four-roller planisher, take into account control and press influence and the requirement of eliminating harmful contact region between roller, with the outlet forward pull of band with cross direction profiles evenly as the optimization aim function and a minimum extensibility of assurance as the finish the work optimal design of roller and backing roll roller curve of constraint condition.Working roll and the backing roll roller curve that goes out designed according to this invention not only guaranteed the mechanical performance index of finished product, and satisfied user's strip shape quality requirement.Simultaneously, the present invention also can be used for not taking place the roller curve design when smooth of the generous material of the problem that presses.

Description of drawings

The roller that Fig. 1 is the normal four-roller planisher when rolling thin narrow material is a synoptic diagram;

Working roll and backing roll roller curve parametric solution calculation flow chart when Fig. 2 is the rolling thin narrow material of the normal four-roller planisher of embodiment 1;

Best bending roller force when Fig. 3 is the thin narrow material of the rolling ideal format of normal four-roller planisher of embodiment 2 is found the solution calculation flow chart;

Fig. 4 is the working roller curve synoptic diagram of roller curve equation design;

Fig. 5 is the backing roll roller curve synoptic diagram of roller curve equation design.

Embodiment

Below by accompanying drawing preferred embodiment of the present invention is described

Embodiment 1

Working roll and backing roll roller curve parametric solution process when adopting the rolling thin narrow material of method optimal design normal four-roller planisher of the present invention have below been provided, as shown in Figure 2.

At first, in step 21, collect the equipment and the technological parameter of planisher: working roll barrel length L _w=1300mm, work roll diameter D _w=φ 440/480mm, backing roll barrel length L _b=1300mm, backing roll diameter D _b=φ 1100/1200mm, backing roll transmission side and active side housing screw centre distance l ₁=2.32m, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre distance l ₂=2.32m.Maximum bending roller force ± 60t, maximum draught pressure 700t, maximum mill speed 1000m/min.

Subsequently, in step 22, the description scope of collecting belt steel: strip width 800～1000mm, thickness 0.15～0.50mm, yield strength σ _s: 280～620Mpa, minimum extensibility 0.5% is chosen 8 kinds of ideal format products according to product thickness, width, strength grade combination simultaneously, and concrete data are as shown in table 1.

Table 1 ideal format product

Sequence number	Thickness (mm)	Width (mm)	Yield strength (MPa)
				1	0.15	800	300
2	0.18	820	300
				3	0.20	900	300
4	0.28	880	300
				5	0.15	800	600
6	0.18	850	600
				7	0.20	880	600
8	0.28	900	600

Subsequently, in step 23,24, with a, b, c, k ₁, δ, l _z, g is roller curve parameter and optimization variable, sets the curvilinear equation of working roll and backing roll respectively, and gets X ₀=[a, b, c, k ₁, δ, l _z, g]=[0.01,1,0.1,8.0,0.8,120,3.0].

Subsequently, in step 25, calling graph 3 described relative programs calculate best bending roller force of each ideal format product and corresponding extensibility, are respectively $S_{a_j}=\left\{\mathrm{20,15,26,43,37,42,45,20}\right\},$ ${\mathrm{\&epsiv;}}_{a_j}=\{0.6\%,0.72\%,0.83\%,0.56\%,0.77\%,1.0\%,0.73\%,1.3\%\};$

Subsequently, in step 26, judge ${\mathrm{\&epsiv;}}_{a_j}\&GreaterEqual;{\mathrm{\&epsiv;}}_{\min }$ Whether set up,, adjust the roller curve parameter X if be false ₀, repeating step 25;

Subsequently, in step 27, calculate roll shape objective function of optimization design function G (X)=8708

Subsequently, in step 28, judge whether the Powell condition is set up,, adjust the roller curve parameter X if be false ₀, repeating step 25,26,27 is set up until the Powell condition, finishes to calculate, and draws optimum roller curve parameter.

Satisfy and obtain optimum roll shape parameter after the optimization establishment condition:

X＝[a，b，c，k ₁，δ，l _z，g]＝[3.0e-5，2.0，1.6e-4，9.0，0.215e-3，180，3.4]

Working roller curve equation after promptly optimizing is:

$D_w\left(x\right)=D_w-3.0\&times;{10}^{-5}\&times;(1-\cos \left(\frac{4x}{L_w}\right))-1.60\&times;{10}^{-4}\&times;{\left(\frac{2x}{L_w}\right)}^9$

Backing roll roller curve equation is:

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b& \left|x\right|\&le;(L_b/2-180)\\ D_b-2\&times;0.215\&times;{\left(\frac{\left|x\right|-(L_b/2-180)}{180}\right)}^{3.4}& \left|x\right|>(L_b/2-180)\end{array}\right.$

Relevant roller curve synoptic diagram such as Fig. 4, shown in Figure 5.

Embodiment 2

Below provided the computation process of the best bending roller force when adopting method of the present invention to find the solution the thin narrow material of the rolling ideal format of certain normal four-roller planisher, as shown in Figure 3.

The equipment and the technological parameter of relevant planisher are: working roll barrel length L _w=1300mm, work roll diameter D _w=φ 440/480mm, backing roll barrel length L _b=1300mm, backing roll diameter D _b=φ 1100/1200mm, backing roll transmission side and active side housing screw centre distance l ₁=2.32m, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre distance l ₂=2.32m.Maximum bending roller force ± 60t, maximum draught pressure 700t, maximum mill speed 1000m/min.

The thin narrow material width 800mm of ideal format, thickness 0.15mm, yield strength σ _s: 300Mpa, minimum extensibility 0.5%.

Relevant roller curve is: $D_w\left(x\right)=D_w-3.0\&times;{10}^{-5}\&times;(1-\cos \left(\frac{4x}{L_w}\right))-1.60\&times;{10}^{-4}\&times;{\left(\frac{2x}{L_w}\right)}^9$ (working roll); $D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b& \left|x\right|\&le;(L_b/2-180)\\ D_b-2\&times;0.215\&times;{\left(\frac{\left|x\right|-(L_b/2-180)}{180}\right)}^{3.4}& \left|x\right|>(L_b/2-180)\end{array}\right.$ (backing roll)

At first, in step 31, the calculating step delta S=2.0 of given bending roller force, labeling function biaoji=100, plate shape objective function initial value F ₀=1.010 ¹¹, and get calculation times k=1;

Subsequently, in step 32, given bending roller force S=S _-+ (k-1) Δ S=-60

Subsequently, extensibility ε=0.7% of falling into a trap and getting it right and answer in step 33;

Subsequently, in step 34, judge S 〉=S ₊Whether set up simultaneously with biaoji＞0,, then make S if set up _a=S ₊, ε _a=ε changes step 41 over to)

Subsequently, in step 35, judge ε 〉=ε _MinWhether set up, if be false, order: k=k+1) if changing step 32 over to;

Subsequently, in step 36, calculate corresponding band forward pull cross direction profiles value σ _1i

Subsequently, in step 37, calculate the value of ejecting plate shape objective function F (X)=12500, and make biaoji=-100;

Subsequently, in step 38, judge F (X)≤F ₀Whether set up, then enter step 39 if set up), order: F ₀=F (X)=12500, S _a=S=-60, ε _a=ε=0.7%;

Subsequently, in step 40, judge S _a≤ S ₊Whether set up, if set up then order: k=k+1) if changing step 32 over to.Otherwise change step 41 over to);

At last, in step 41, export best bending roller force Sa and corresponding extensibility ε _a

Finally, through above calculating, drawing best bending roller force is S _a=2.5t, and corresponding extensibility ε _a=0.7%.

Claims (4)

1. the roller type curve design method of a thin narrow material smoothing and rolling process is characterized in that: may further comprise the steps:

The equipment and the technological parameter of a, collection planisher;

The description scope of b, collecting belt steel;

C, with a, b, c, k ₁, δ, l _z, g is roller curve parameter and optimization variable, sets the curvilinear equation of working roll and backing roll respectively, wherein:

A-work roll crown value;

B-cosine phase coefficient;

C-working roll high order curve partial safety factor;

k ₁-working roll high order curve subitem index;

l _z-backing roll roller curve sloping shoulders length;

δ-backing roll roller curve sloping shoulders the degree of depth;

G-backing roll roller curve index;

D, computation optimization go out the roller curve parameter, finish the optimizing of roller curve parameter according to the following steps:

D1), given initial curve parameter X ₀=[a, b, c, k ₁, δ, l _z, g];

D2), calculate the best bending roller force Sa of ideal format product j _jAnd corresponding extensibility ε _Aj, can finish according to the following steps:

D21), the calculating step delta S of given bending roller force, labeling function biaoji=100, plate shape objective function initial value F ₀=10 ¹¹, and get calculation times k=1;

D22), given bending roller force S=S _-+ (k-1) Δ S, wherein: S _-If-maximum negative bending roller force is planisher not negative bending roller force, then S _-=0;

D23), calculate corresponding extensibility ε;

D24), judge S 〉=S ₊Whether set up simultaneously with biaoji＞0,, then make S if set up _a=S ₊, ε _a=ε changes steps d 210 over to), wherein: S ₊The maximum positive bending roller force of-planisher; S _aBest bending roller force under-this step; ε _aThe pairing extensibility of best bending roller force under-this step;

D25), judge ε 〉=ε _MinWhether set up, if be false, order: k=k+1 changes steps d 22 over to), wherein: ε _Min-minimum extensibility;

D26), calculate corresponding band forward pull cross direction profiles value σ _1i

D27), calculate the value of ejecting plate shape objective function F (X), and make biaoji=-100;

D28), judge F (X)≤F ₀Whether set up, if set up then order: F ₀=F (X), S _a=S, ε _a=ε; Plate shape objective function F (X) is represented with following formula:

F(X)＝((max(σ _1i)-min(σ _1i))/T ₁)

In the formula:

F (X)-plate shape objective function;

T ₁The mean value of-forward pull;

D29), judge S _a≤ S ₊Whether set up, if set up then order: k=k+1 changes steps d 22 over to), otherwise change steps d 210 over to);

D210), order $S_{a_j}=S_a;$ ${\mathrm{\&epsiv;}}_{a_j}={\mathrm{\&epsiv;}}_a,$ Export best bending roller force S _AjAnd corresponding extensibility ε _Aj

D3), judge ${\mathrm{\&epsiv;}}_{a_j}\&GreaterEqual;{\mathrm{\&epsiv;}}_{\min }$ Whether set up,, adjust the roller curve parameter, repeating step d2) if be false;

D4), calculate roll shape objective function of optimization design function G (X); Roll shape optimal design objective function G (X) represents with following formula:

$G\left(X\right)=\underset{i=1}{\overset{m}{\mathrm{\&Sigma;}}}{[S_{\mathrm{ai}}-S_{\mathrm{jital}}]}^2$

In the formula:

G (X)-roll shape optimal design objective function;

S _Ai-under specific roll shape, i specification product satisfies the minimum best bending roller force of objective function F (X);

S _Jital-ground state bending roller force;

D5), 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;

E, the roller curve equation of optimum roller curve parameter substitution working roll and the roller curve equation of backing roll are obtained the roller curve equation of optimum working roll and the roller curve equation of optimum backing roll.

2. the roller type curve design method of thin narrow material smoothing and rolling process as claimed in claim 1 is characterized in that, the device parameter of planisher comprises described in the described 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 distance l ₁, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre distance l ₂, maximum bending roller force S, maximum draught pressure P, maximum mill speed V.

3. the roller type curve design method of thin narrow material smoothing and rolling process as claimed in claim 1 is characterized in that, the description scope of the band steel among the described step b comprises strip width b, thickness h, tensile strength sigma _bWith the minimum extensibility ε of permission _Min

4. the roller type curve design method of thin narrow material smoothing and rolling process as claimed in claim 1 is characterized in that, the working roll among the described step c and the curvilinear equation of backing roll comprise: the roller curve equation of setting working roll is:

$D_w\left(x\right)=D_w-a(1-\cos \left(b\frac{2x}{L_w}\right))-c{\left(\frac{2x}{L_w}\right)}^{k_1}$

The roller curve equation of setting backing roll is:

$D_b\left(x\right)=\left\{\begin{array}{cc}{D}_b& \left|x\right|\&le;(L_b/2-l_z)\\ D_b-2\mathrm{\&delta;}{\left(\frac{\left|x\right|-(L_b/2-l_z)}{l_z}\right)}^k& \left|x\right|>(L_b/2-l_z)\end{array}\right.$

In above-mentioned two formulas:

D _w-working roll green diameter;

L _w-working roll barrel length;

D _b-backing roll green diameter;

L _b-backing roll barrel length.

Images