CN103302108A - Optimal setting method for roll force of six-roller temper mill unit - Google Patents

Abstract

The invention relates to an optimal setting method for roll force of a six-roller temper mill unit, and belongs to a strip steel temper rolling production process and a control technology. After a lot of production tests and theory researches, the equipment and process characteristics of the temper rolling process of a six-roller temper mill are fully considered. According to the method, a set of optimal roll force setting values of the temper mill is determined for each type of steel and each specification. When a new specification of product is produced at the first time, a system can give the reasonable roll force setting values. Under the conditions of ensuring that slip factors are in a critical point, calculating the impact response amplitude of the roll force of the temper mill not to be beyond load, and finally being combined with the actual production, the roll force setting values of the temper mill are determined. The bad phenomena of unstable production, break by rolling and the like due to inaccurate setting are reduced. The strip shape controlling stability of the temper mill can be improved, and the yield is increased.

Description

The smooth unit roll-force of a kind of six rollers Optimal Setting method

Technical field

The invention belongs to belt steel flating production technology and control technology, particularly the smooth unit roll-force of a kind of six rollers Optimal Setting method.

Background technology

Along with the industrialization degree of society is more and more extensive, Levels of Social Economic Development increases substantially, and has driven the market demand of field of metallurgy Strip (appliance plate and Automobile Plate etc.), also the Strip quality is had higher requirement simultaneously.Smooth as one postorder finishing technique in the cold rolled sheet production, particularly important to the control of product quality.Smooth operation can be by technological parameters such as controlled rolling power, tension force and bending roller forces, to guarantee mechanical performance and the type quality of the rear product of annealing.So the running status of planisher has farthest determined the product lumber recovery, affect the economic benefit of enterprise.

Usually during engineering is used, planisher control is carried out closed-loop control according to the percentage elongation of setting to roll-force, only consider that for the setting of smooth unit roll-force plate shape is administered and the limited amplitude of maximum draught pressure in the control procedure, the mean value when providing all gauge strip steel production.When each planisher played parking, the planisher control system was controlled the roll-force of setting first as initial value.Therefore, the order of accuarcy of this roll-force initial set value directly has influence on the transit time that control period product percentage elongation, percentage elongation are adjusted to desired value, and the plate shape of transition period quality.

Because more current planisher rolling force setup value errors are larger, cause closed-loop system can produce by a relatively large margin adjustment amount at the control initial stage, the fluctuation of roll-force, percentage elongation is violent, and plate shape is also influenced.Be subjected to the factor affecting such as feedback cycle, device responds cycle and system sensitivity, control system needs longer a period of time roll-force could be adjusted to desired value, sometimes needs nearly 30s, on affecting length approximately about 30m with steel.Patent of the present invention is for this situation, the method that combines by theoretical research and Engineering, find a kind of suitable method that planisher rolling force setup value is optimized, and by production application, significantly improved the planisher roll-force jump situation at control system initial stage.

Summary of the invention

The object of the present invention is to provide the smooth unit roll-force of a kind of six rollers Optimal Setting method, fully take into account the equipment and technology characteristics of the smooth unit smoothing and rolling process of six rollers, guaranteeing that smooth unit does not occur skidding under the prerequisite that meets the demands with shock response, provides suitable planisher rolling force setup value.Improve plate shape and the percentage elongation compliance rate of finished strip, improve the quality of products and lumber recovery.

Technical scheme of the present invention may further comprise the steps (as shown in Figure 1):

1, for the smooth unit of analyze, its equipment of sorting-out in statistics and main technologic parameters comprise work roll diameter D _W, the equivalent mass M of backing roll, intermediate calender rolls and working roll _b, M _m, M _w, the equivalent stiffness K of planisher memorial archway _m, backing roll and intermediate calender rolls Contact stiffness K _b, working roll and intermediate calender rolls Contact stiffness K _w, draught pressure maximum P _Max, draught pressure minimum of a value P _Min, enter step 2;

2, according to the actual production data of collecting, and the roll-force accounting equation of setting up, the method for employing regression fit calculates the skin pass rolling power computing formula with steel; Enter step 3;

$P=\mathrm{fB}$

$f=\frac{{\mathrm{\σ}}_p{h}_0(1-\mathrm{\ϵ})}{\mathrm{\μ}}\left\{\exp \right[\mathrm{\μL}/h_0(1-\mathrm{\ϵ})]-1\}(v^3+k_4{v}^{1.5}+k_5{v}^{0.5}+k_6)/{10}^9$

${\mathrm{\σ}}_p=k_3({\mathrm{\σ}}_s+\mathrm{alg}1000e)-(k_1{\mathrm{\σ}}_0+k_2{\mathrm{\σ}}_1)$

$e=\frac{2v}{\mathrm{D\μ}}$

$L=\frac{1}{2}[a_1\ln \left(\mathrm{\ϵ}\right)+a_0][\frac{\mathrm{D\ϵ\μ}}{2}+\sqrt{{\left(\frac{\mathrm{D\ϵ\μ}}{2}\right)}^2+2D{h}_0\mathrm{\ϵ}}]$

In the formula: P---general rolling force, unit: N; F---special rolling force, unit: N/m; B---strip width, unit: m; L---the roll arc length degree that contacts with the strip in the contact in rolling, unit: mm; a ₀---smooth steel grade influence coefficient; a ₁---the operating mode influence coefficient; D---work roll diameter, unit: mm; ε---band steel percentage elongation; μ---coefficient of friction; h ₀---inlet thickness, unit: mm; σ _p---equivalent resistance of deformation, unit: Pa; E---strain rate; V---mill speed, unit: m/s; k ₃---the resistance of deformation influence coefficient; k ₂---the backward pull influence coefficient; k ₁---the forward pull influence coefficient; σ _s---band steel yield strength; Unit: Pa; σ ₀---forward pull, unit: Pa; σ ₁---backward pull, unit: Pa; k ₄, k ₅, k ₆---planisher speed correction factor.

3, determine the belt steel thickness h of planisher ₀, strip width B, belt steel flating percentage elongation ε, band steel yield strength σ _s, produce linear velocity v, tensile stress σ before and after the planisher ₀, σ ₁, calculate planisher rolling force setup value P according to the formula in the step 2, if result of calculation is greater than P _Max, roll-force P=P then _MaxWhen result of calculation less than P _Min, roll-force P=P then _MinEnter step 4;

4, according to formula

, calculate the planisher nip angle, according to formula:

, calculate neutral angle, enter step 5;

In the formula: f---unit pressure; B---strip width (m); Q ₁, Q ₀---act on forward pull, backward pull (N) on the rolled piece; α---nip angle (radian);

5, calculate slip factor f _γ=γ/α judges whether to satisfy 0.2＜f _γ＜0.8? if satisfy, then enter step 6; If do not satisfy, then make special rolling force f=f-sign (γ/α-1/2) * sign (Q ₁-Q ₀) * 10000N, enter step 4, if cycle-index does not still satisfy 0.2＜f greater than 1000 _γ＜0.8, get the special rolling force f value of last iterative cycles.Enter step 6;

6, according to the planisher structure, set up the 3DOF model of vibration, mechanical model sees accompanying drawing 2 for details, adopts MATLAB software to obtain the numerical solution of vibration equation, calculate the extensional vibration response that applies the planisher after the planisher roll-force, roll-force maximum amplitude P when obtaining vibrating _a, judge P _a＜P _MaxDo you whether satisfy? if satisfy, then enter step 7; If do not satisfy, P=P-100000N then is if satisfy P this moment〉P _Min, then enter step 4; If P〉P _MinCondition does not satisfy, then P=P _Min, enter step 7;

7, will finish the rolling force setup value P that calculates and write planisher rolling force setup table, and implant control system.

The present invention is through a large amount of pilot production and theoretical research, fully take into account the equipment and technology characteristics of six roller planisher smoothing and rolling process, invented a kind of planisher roll-force Optimal Setting method, according to the method, for each specification of each steel grade is determined the optimum rolling force setup value of one group of planisher, guarantee that system can given rational rolling force setup value when producing the new spec product for the first time.This calculating guarantee slip factor critical point with interior, calculate not excess load of planisher roll-force shock response amplitude, finally in conjunction with practical condition, determine planisher rolling force setup value, reduce because set and forbidden that the production that causes is unstable, the bad phenomenon such as break occurs.Can improve planisher plate shape control stability, improve lumber recovery.

Description of drawings

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

Fig. 1 is that the planisher roll-force is calculated and the program calculation process block diagram of Optimal Setting among the present invention.

Fig. 2 is that mechanical model is simplified in planisher extensional vibration.

The specific embodiment

Preferred embodiment of the present invention is below described.

Embodiment 1

In order to set forth basic thought of the present invention, existing take the smooth unit of certain 1,850 six roller as example, by means of Fig. 1 describe specification be 1.2m*1.0mm, steel grade be SPCC with the tension force Optimal Setting process of steel on specific smooth unit.

At first, in step 1, collect equipment and the technological parameter of smooth unit, in step 1, collect equipment and the technological parameter of smooth unit, comprise work roll diameter 550mm, the equivalent mass 5.4*10 of backing roll, intermediate calender rolls and working roll ⁴Kg, 7.02*10 ³Kg, 4.71*10 ³Kg, the equivalent stiffness 7.5*10 of planisher memorial archway ¹⁰N/m, backing roll and intermediate calender rolls Contact rigidity 1.0*10 ¹⁰N/m, working roll and intermediate calender rolls Contact rigidity 0.5*10 ¹⁰N/m, draught pressure maximum 12*10 ⁶N, draught pressure minimum of a value 6*10 ⁵N enters step 2;

In step 2, the arrangement Field Production Data is with planisher and band steel relevant parameter substitution planisher roll-force computing formula

$P=\mathrm{fB}$

$f=\frac{{\mathrm{\σ}}_p{h}_0(1-\mathrm{\ϵ})}{\mathrm{\μ}}\left\{\exp \right[\mathrm{\μL}/h_0(1-\mathrm{\ϵ})]-1\}(v^3+k_4{v}^{1.5}+k_5{v}^{0.5}+k_6)/{10}^9$

${\mathrm{\σ}}_p=k_3({\mathrm{\σ}}_s+\mathrm{alg}1000e)-(k_1{\mathrm{\σ}}_0+k_2{\mathrm{\σ}}_1)$

$e=\frac{2v}{\mathrm{D\μ}}$

$L=\frac{1}{2}[a_1\ln \left(\mathrm{\ϵ}\right)+a_0][\frac{\mathrm{D\ϵ\μ}}{2}+\sqrt{{\left(\frac{\mathrm{D\ϵ\μ}}{2}\right)}^2+2D{h}_0\mathrm{\ϵ}}]$

Adopt matlab multidimensional match function f minsearch that sample is carried out match, obtain after the match: a0=-11.776573, a1=-4.7147225, k3=0.000580898, a=64153.172, k1=0.3, k2=0.7, k4=-178.83734, k5=9159.3527, k6=30439.591.Enter step 3;

Subsequently, in step 3, comprise strip width B=1.2m, thickness h=1mm, percentage elongation ε=0.01, tensile strength sigma with treating in the formula of smooth characteristic parameter substitution step 2 with steel _b=360*10 ⁶Pa; Tension force Q before and after the planisher ₁=Q ₀=45*10 ³N, smooth speed is 6m/s, coefficient of friction is 0.11.Calculating the planisher roll-force is 3.32*10 ⁶N.Enter step 4;

Subsequently, in step 4, according to formula

, calculating the planisher nip angle is 0.005934 radian (0.34 °).Then nip angle is updated to formula:

, obtain neutral angle for being about 0.00288 radian (0.165 °), enter step 5.

In step 5, according to formula slip factor f _γ=γ/α calculates slip factor=0.48, satisfies "＜0.8 and〉0.2 ", enters step 6;

In step 6, with planisher parameter substitution model of vibration, obtain planisher roll-force maximum amplitude 4.3*10 ⁶N, "＜draught pressure maximum 12*10 satisfies condition ⁶N ", enter step, 7;

In step 7, rolling force setup value P is write planisher rolling force setup table, and implant control system.

Embodiment 2

In order further to illustrate the design philosophy of patent, existing take the smooth unit of certain 1,850 six roller as example, by means of Fig. 1 describe specification be 1.7m*0.65mm, steel grade be Trip780 with the tension force Optimal Setting process of steel on specific smooth unit.

At first, in step 1, collect equipment and the technological parameter of smooth unit, in step 1, collect equipment and the technological parameter of smooth unit, comprise work roll diameter 550mm, the equivalent mass 5.4*10 of backing roll, intermediate calender rolls and working roll ⁴Kg, 7.02*10 ³Kg, 4.71*10 ³Kg, the equivalent stiffness 7.5*10 of planisher memorial archway ¹⁰N/m, backing roll and intermediate calender rolls Contact rigidity 1.0*10 ¹⁰N/m, working roll and intermediate calender rolls Contact rigidity 0.5*10 ¹⁰N/m, draught pressure maximum 12*10 ⁶N, draught pressure minimum of a value 0.6*10 ⁶N enters step 2;

In step 2, the arrangement Field Production Data is with planisher and band steel relevant parameter substitution planisher roll-force computing formula

$P=\mathrm{fB}$

$f=\frac{{\mathrm{\σ}}_p{h}_0(1-\mathrm{\ϵ})}{\mathrm{\μ}}\left\{\exp \right[\mathrm{\μL}/h_0(1-\mathrm{\ϵ})]-1\}(v^3+k_4{v}^{1.5}+k_5{v}^{0.5}+k_6)/{10}^9$

${\mathrm{\σ}}_p=k_3({\mathrm{\σ}}_s+\mathrm{alg}1000e)-(k_1{\mathrm{\σ}}_0+k_2{\mathrm{\σ}}_1)$

$e=\frac{2v}{\mathrm{D\μ}}$

$L=\frac{1}{2}[a_1\ln \left(\mathrm{\ϵ}\right)+a_0][\frac{\mathrm{D\ϵ\μ}}{2}+\sqrt{{\left(\frac{\mathrm{D\ϵ\μ}}{2}\right)}^2+2D{h}_0\mathrm{\ϵ}}]$

Adopt matlab multidimensional match function f minsearch that sample is carried out match, obtain a0=-11.776573, a1=-4.7147225 after the match, k3=0.000580898, a=64153.172, k1=0.3, k2=0.7, k4=-178.83734, k5=9159.3527, k6=30439.591.Enter step 3;

Subsequently, in step 3, comprise strip width B=1.7m, thickness h=0.65mm, percentage elongation ε=0.008, tensile strength sigma with treating in the formula of smooth characteristic parameter substitution step 2 with steel _b=780*10 ⁶Pa; Tension force Q before and after the planisher ₁=Q ₀=85*10 ³N, smooth speed is 6m/s, coefficient of friction is 0.11.Calculating the planisher roll-force is 15.9*10 ⁶N, "〉Pmax=12*10 because the roll-force that calculates satisfies condition ⁶N ", therefore setting the planisher roll-force is 12*10 ⁶N.

Subsequently, in step 4, according to formula

, calculating the planisher nip angle is 0.004294 radian (0.246 °).Then nip angle is updated to formula: , obtain neutral angle for being about 0.002094 radian (0.12 °), enter step 5;

In step 5, according to formula slip factor f _γ=γ/α calculates slip factor=0.49, satisfy＜0.8 and 0.2, enter step 6;

In step 6, with planisher parameter substitution model of vibration, obtain planisher roll-force maximum amplitude 17.3*10 ⁶N, "＜draught pressure maximum 12*10 does not satisfy condition ⁶N ", make planisher roll-force P=P-100000N * 10 ⁶N=11.9*10 ⁶, because satisfy P〉and 0.6*10 ⁶, enter step 4;

……

In the step 4, with P=11.9*10 ⁶N is updated to computing formula, finally calculates slip factor f _γ=γ/α=0.49 enters step 5;

In step 5, slip factor=0.49, satisfy＜0.8 and 0.2, enter step 6;

In step 6, with planisher parameter substitution model of vibration, obtain planisher roll-force maximum amplitude 17.14*10 ⁶N, "＜draught pressure maximum 12*10 does not satisfy condition ⁶N ".Make planisher roll-force P=P-100000N=11.8*10 ⁶, because satisfy P〉and 0.6*10 ⁶, then enter step 4;

……

In the step 4, with P=8.3*10 ⁶N is updated to computing formula, finally calculates slip factor f _γ=γ/α=0.49 enters step 5;

In step 5, slip factor=0.49, satisfy＜0.8 and 0.2, enter step 6;

In step 6, with parameter substitution model of vibration, obtain planisher roll-force maximum impact response amplitude 11.9*10 ⁶N, the planisher maximum rolling force amplitude that satisfies condition＜draught pressure maximum 12*10 ⁶N; Enter step 7;

In step 7, with rolling force setup value P=8.3*10 ⁶N writes planisher rolling force setup table, and implants control system.

Claims (1)

1. the smooth unit roll-force of a roller Optimal Setting method is characterized in that, may further comprise the steps:

(1) for the smooth unit of analyze, sorting-out in statistics equipment and technological parameter comprise work roll diameter D _W, the equivalent mass M of backing roll, intermediate calender rolls and working roll _b, M _m, M _w, the equivalent stiffness K of planisher memorial archway _m, backing roll and intermediate calender rolls Contact stiffness K _b, working roll and intermediate calender rolls Contact stiffness K _w, draught pressure maximum P _Max, draught pressure minimum of a value P _Min, enter step (2);

(2) according to the actual production data of collecting, and the roll-force accounting equation of setting up, the method for employing regression fit calculates the skin pass rolling power computing formula with steel; Enter step 3;

$P=\mathrm{fB}$

$f=\frac{{\mathrm{\σ}}_p{h}_0(1-\mathrm{\ϵ})}{\mathrm{\μ}}\left\{\exp \right[\mathrm{\μL}/h_0(1-\mathrm{\ϵ})]-1\}(v^3+k_4{v}^{1.5}+k_5{v}^{0.5}+k_6)/{10}^9$

${\mathrm{\σ}}_p=k_3({\mathrm{\σ}}_s+\mathrm{alg}1000e)-(k_1{\mathrm{\σ}}_0+k_2{\mathrm{\σ}}_1)$

$e=\frac{2v}{\mathrm{D\μ}}$

$L=\frac{1}{2}[a_1\ln \left(\mathrm{\ϵ}\right)+a_0][\frac{\mathrm{D\ϵ\μ}}{2}+\sqrt{{\left(\frac{\mathrm{D\ϵ\μ}}{2}\right)}^2+2D{h}_0\mathrm{\ϵ}}]$

In the formula: P---general rolling force, unit: N; F---special rolling force, unit: N/m; B---strip width, unit: m; L---the roll arc length degree that contacts with the strip in the contact in rolling, unit: mm; a ₀---smooth steel grade influence coefficient; a ₁---the operating mode influence coefficient; D---work roll diameter, unit: mm; ε---band steel percentage elongation; μ---coefficient of friction; h ₀---inlet thickness, unit: mm; σ _p---equivalent resistance of deformation, unit: Pa; E---strain rate; V---mill speed, unit: m/s; k ₃---the resistance of deformation influence coefficient; k ₂---the backward pull influence coefficient; k ₁---the forward pull influence coefficient; σ _s---band steel yield strength, unit: Pa; σ ₀---forward pull, unit: Pa; σ ₁---backward pull, unit: Pa; k ₄, k ₅, k ₆---planisher speed correction factor;

(3) determine the belt steel thickness h of planisher ₀, strip width B, belt steel flating percentage elongation ε, band steel yield strength σ _s, produce linear velocity v, tensile stress σ before and after the planisher ₀, σ ₁, calculate planisher rolling force setup value P according to the formula in the step (2), if result of calculation is greater than P _Max, roll-force P=P then _MaxWhen result of calculation less than P _Min, roll-force P=P then _MinEnter step (4);

(4) according to formula

, calculate the planisher nip angle, according to formula:

, calculate neutral angle, enter step (5);

In the formula: f---unit pressure; B---strip width (m); Q ₁, Q ₀---act on forward pull, backward pull (N) on the rolled piece; α---nip angle (radian);

(5), calculate slip factor f _γ=γ/α judges whether to satisfy 0.2＜f _γ＜0.8? if satisfy, then enter step (6); If do not satisfy, then make special rolling force f=f-sign (γ/α-1/2) * sign (Q ₁-Q ₀) * 10000N, enter step (4), if cycle-index does not still satisfy 0.2＜f greater than 1000 _γ＜0.8, get the special rolling force f value of last iterative cycles; Enter step (6);

(6), according to the planisher structure, set up the 3DOF model of vibration, mechanical model adopts MATLAB software to obtain the numerical solution of vibration equation, calculates the extensional vibration response that applies the planisher after the planisher roll-force, roll-force maximum amplitude P when obtaining vibrating _a, judge P _a＜P _MaxDo you whether satisfy? if satisfy, then enter step (7); If do not satisfy, P=P-100000N then is if satisfy P this moment〉P _Min, then enter step (4); If P〉P _MinCondition does not satisfy, then P=P _Min, enter step (7);

(7) will finish the rolling force setup value P that calculates and write planisher rolling force setup table, and implant control system.

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