CN102688909B

CN102688909B - Method for comprehensively setting clamp force of pinch roll on hot rolling reeling machine

Info

Publication number: CN102688909B
Application number: CN201210150713.7A
Authority: CN
Inventors: 白振华; 李鹏; 蔡江哲; 冯彬; 李龙华; 司红鑫
Original assignee: Yanshan University
Current assignee: Tangshan City Delong Iron and Steel Co Ltd
Priority date: 2012-05-16
Filing date: 2012-05-16
Publication date: 2014-06-11
Anticipated expiration: 2032-05-16
Also published as: CN102688909A

Abstract

The invention relates to a method for comprehensively setting the clamping force of pinch rolls of a hot-rolling coiler, characterized in that the method includes the following steps executed by a computer: (a) collecting equipment and process parameters of the hot-rolling coiler ; (b) Collect the specifications and process parameters of the strip steel to be passed through the pinch roll; (c) Collect the process parameters for calculating the clamping force of the pinch roll; (d) Give the main process parameters; (e) Calculate the pinch roll The friction coefficient μ between the roller surface and the strip during the working process of the roller; (f) Calculate the minimum value of clamping force P ₁₁ , clamping force P ₁₂ , and clamping force P ₂₃ required to ensure that the strip is fed; (g ) Calculate the clamping force P _y of the pinch roller in the biting stage; (h) Calculate the clamping force P _z of the pinch roller in the tension building stage. Its advantages are: by reasonably setting the clamping force of the pinch roller, the occurrence probability of defects such as insufficient feeding, slipping, scratches on the surface of the strip and guide plate, and scratches on the surface of the strip is minimized to the greatest extent, ensuring that the clamping The normal operation of the feed roller.

Description

Hot-rolled coiler pinch roll clamping force synthetic setting method

Technical field

The hot rolling coiler computer control field that the invention belongs to metallurgy industry, relates to a kind of coil of strip and batches quality control method, particularly a kind of pinch roll clamping force synthetic setting method that is suitable for hot rolling coiler.

Background technology

In hot rolling reeling process, determining of pinch roll clamping force has important impact for batching quality.Accompanying drawing 1 is pinch roll fundamental diagram.Band 1 from hot fine rolling unit 2 out after, process laminar cooling system 3 under the effect of runout table 4, enter subsequently the pinch roll set 5 being formed by top pinch roll 7 and bottom pinch roll 8, by pinch roll set 5, the head of band 1 drawn and clamped and try one's best not clash under the prerequisite of upper guide plate 9 and bottom guide 10 and sent into reel 12 and help between winding up roller 11, completing crossing process; After this make to set up coiling tension between coiling machine 6 and pinch roll set 5 by the clamping force of pinch roll set 5, the head that guarantees band 1 rolls tightly on reel, when progressively tension force being transitioned between coiling machine 6 and mm finishing mill unit 2 after tension stability, now pinch roll set 5 clamping forces only play the effect of stable tension and keep a less clamping force, subsequently after coiling machine 6 is normally wound to the 1st frame of leaving mm finishing mill unit 2 with steel afterbody, be between coiling machine 6 and pinch roll set 5 again by tension force transition, to guarantee the concordant of band 1 afterbody and to roll tightly.Corresponding with it, also just can be divided into four parts for the setting of hot-rolled coiler pinch roll clamping force: (1) is with the nip calculating of part pinch roll clamping force of steel; (2) start to set up tension force before tension stability; (3) before leaving mm finishing mill unit the first frame to band afterbody after tension stability; (4) band afterbody leaves pinch roll set to band afterbody after leaving mm finishing mill unit the first frame.In above-mentioned four parts, in Part III, pinch roll does not play a leading role, and sometimes pinch roll even can be opened, and therefore can provide according to empirical value according to on-site actual situations for the clamping force of this part pinch roll.And Part IV is identical with Part II setting principle, it is also similar to Part II that it sets result, therefore the on-the-spot setting that mainly refers to first, second part clamping force for the setting of hot-rolled coiler pinch roll clamping force.In the past, on-the-spot is mainly that collateral security sends, guarantees that band can plastic bending and clash into two aspects such as upper guide plate and consider to reduce band steel head along entering into reel with the tangent direction of guide plate and helping among the roll gap of winding up roller to for the setting of Part I pinch roll clamping force; Be mainly that control from skidding is started with to the setting of Part II pinch roll clamping force, and will meet the critical minimum of correlated condition as the setting value of clamping force (referring to list of references 1-4).In fact, it is unscientific adopting the clamping force of setting in this way pinch roll, because the clamping force that the method sets is only the desirable liminal value that meets the normal work of pinch roll, and without any surplus, if there is aborning the FAQs such as fluctuation, the fluctuation of performance of thickness of strip, will likely cause pinch roll normally to work.Meanwhile, the clamping force of pinch roll is non-being the bigger the better also, if clamping force is excessive, will likely cause between pinch roll and band local contact stress excessive, exceeds the allowable contact stress of band, easily causes strip surface part to press against wound and scratch defect.Especially, in the assignment procedure of pinch roll clamping force in the past, do not consider following four class problems: (1) pinch roll in the course of the work, the increase of crossing steel milimeter number along with pinch roll, there are wearing and tearing in pinch roll, cause the clamping force of pinch roll inhomogeneous along cross direction profiles, thereby may occur the local contact problems of too of band; (2) in the pinch roll course of work, the increase of crossing steel milimeter number along with pinch roll, pinch roll surface roughness declines, and causes the coefficient of friction between pinch roll and band slowly to diminish, if adopt former technology to set that clamping force will likely cause sending to deficiency and the problem such as skid; (3) in the pinch roll course of work, because band section configuration exists convexity etc., make transversely skewness of pinch roll clamping force, cause the excessive problem of the local contact of strip surface; (4) due to the amount of deflection problem of pinch roll itself, cause transversely skewness of pinch roll clamping force, cause the problem that the local contact of band is excessive, weigh band wounded.Like this, the how clamping force of correct setting pinch roll, enabling operating mode at the scene occurs normally working under certain prerequisite changing, can guarantee normally to send to and not occur skidding, can guarantee to be again with steel head flexural deformation moderate and do not scratch bottom guide, can also guarantee that contact stress between pinch roll and band does not exceed band allowable contact stress and just becomes the emphasis of on-the-spot tackling key problem.

List of references: [1] Zhang Xuejun, clock Jian Hua, Guo Wanyou. definite [J] of hot-rolled coil machine structural parameters and coiling tension. a heavy technology, 1999:7-11.[2] clock Jian Hua, Zhang Xuejun, Liu Xiaofeng, Guo Wanyou. definite [J] of hot-rolled coil machine jockey pulley clamping force. a heavy technology, 1999:12-16.[3] ten thousand fly, Wang Yongqin, Yan Xingchun, Cui Yonggang. downcoiler reel and pinch roll mutual alignment research [J]. steel research journal, 2007(9): 25-28.[4] Zhou Guoying. strip coiling equipment [M]. Beijing: metallurgical industry publishing house, 1992.[5] Wang Yongqin, Liu Jianye, Yan Xingchun, ten thousand fly. analysis and the research [J] of underground type torrid zone coiler pinch-roll deflection angle. and China Mechanical Engineering, 2003, 14 (12): 999-1001.[6] Lian Jiachuan. the research [J] of tropical downcoiler jockey pulley deviation angle. iron and steel, 2010, 45 (12): 41-44.[7] ten thousand fly. analyzing and Computing on Contact Stress of Pinch Roll [J]. heavy-duty machinery science and technology, 2001, 39-43.

Summary of the invention

The object of this invention is to provide a kind of hot-rolled coiler pinch roll clamping force synthetic setting method, method of the present invention is by the clamping force of rational setting pinch roll, reduce send deficiency to, skid, probability of happening that band and guide plate surface tear, strip surface are pressed against the defects such as wound, guarantee the normal work of pinch roll.

For realizing above object, the present invention is as follows by the following technical solutions:

A kind of hot-rolled coiler pinch roll clamping force synthetic setting method, comprises the following step of being carried out by computer (computing block diagram is shown in accompanying drawing 2):

(a) equipment of collection hot-rolled coiler pinch roll and technological parameter (concrete apparatus arrangement is shown in accompanying drawing 3), comprising: the radius R of top pinch roll _u, bottom pinch roll radius R _d, top pinch roll diameter D _u, bottom pinch roll diameter D _d, the long L of the top pinch roll body of roll _w, the distance l of bearing to pinch roll fore side and transmission side application point ₀, top pinch roll actual roll shape

the actual roll shape of bottom pinch roll

the radius R of reel _volume, upper guide plate and horizontal direction angle of inclination beta, bottom pinch roll to the distance δ of upper guide plate extended line ₁, the bottom pinch roll center of circle and the reel center of circle vertical distance A, the bottom pinch roll center of circle and the reel center of circle horizontal range B, top pinch roll side-play amount e, bottom guide afterbody and the bottom pinch roll center of circle horizontal range c, bottom guide afterbody and the reel center of circle vertical apart from d, last rolling mill to the rolling friction of the distance l between pinch roll, hot strip steel and pinch roll be f, pinch roll batch milimeter number L;

(b) collect band steel description and the technological parameter for the treatment of pinch roll, comprise strip width b, belt steel material Poisson's ratio v, band steel elastic modulus E, band steel yield limit σ _s, upper bottom pinch roll bearing place coefficientoffrictionμ ₂, the thickness h with steel, the proportion γ with steel, enter the acceleration a of pinch roll, the setting value T of coiling tension with steel;

(c) collect pinch roll clamping force calculating process parameter, comprise precision ε, gravity acceleration g;

(d) given main processes parameter, comprises safety coefficient ψ, initial friction coefficient μ ₀, coefficient of friction attenuation coefficient ζ, band running deviation value δ _p, wherein to pinch roll fore side skew for just;

(e) calculate the coefficientoffrictionμ between roll surface and band in the pinch roll course of work, computing formula is μ=μ ₀e ^{-ξ L};

(f) method of utilizing document [1], [2], [3] to introduce calculates under current working and guarantees to be with steel to send needed clamping force minimum of a value P to ₁₁, guarantee enter reel and help in the roll gap of winding up roller and do not clash into the needed clamping force P of upper guide plate along the tangent direction of guide plate with steel ₁₂, guarantee with the non-slip minimum grip power P of steel ₂₃;

(g) the clamping force P of calculating bite stage pinch roll _y, adopt the step (fundamental block diagram is as shown in Figure 4) that can be carried out by computer as follows:

G1) the initial value P of given clamping force ₀=max{P ₁₁, P ₁₂and object function initial value F ₀=10 ¹⁰;

G2) definition cyclic process variable i, step-size in search Δ P, the process setting value P of bite stage clamping force _y0;

G3) make i=0, Δ P=0.05P ₀;

G4) make P _y0=P ₀+ i Δ P;

G5) calculating total clamping force is P _y0time clamping force cross direction profiles value q _j, j=1,2 ..., 2m+1, comprises the following steps (computing block diagram is shown in accompanying drawing 5);

G5-1) solving of pinch roll and band steel dividing elements (as shown in Figure 6) and amount of deflection influence coefficient, comprises the following steps (computing block diagram is shown in accompanying drawing 7):

G5-1-1) upper bottom pinch roll is divided into N equal portions along barrel length, calculates the width of every equal portions

G5-1-2) band is divided into the unit number that width is Δ x

G5-1-3) introduce upper and lower pinch roll support roller unit partition process parameter n, band dividing elements procedure parameter m, and order

n = \frac{N - 1}{2},

m = \frac{M - 1}{2};

G5-1-4) calculate the shared unit number of band sideslip

G5-1-5) calculate top working roll amount of deflection influence coefficient

bottom working roll amount of deflection influence coefficient

the influence coefficient of the suffered support force of top pinch roll to pinch roll amount of deflection

and the influence coefficient of the suffered support force of bottom pinch roll to pinch roll amount of deflection

and

elastic flattening COEFFICIENT K between pinch roll and band ';

G5-2) definition calculating process parameter P ₁, P ₂, P ₃, P ₄, wherein P ₁for the holding power that top pinch roll fore side is subject to, P ₂the holding power, the P that are subject to for top pinch roll transmission side ₃the holding power, the P that are subject to for bottom pinch roll fore side ₄the holding power being subject to for bottom pinch roll transmission side;

G5-3) according to upper and lower pinch roll and with the compatibility of deformation relation between steel, provide the thickness distribution h of strip width direction _i, the holding power P that upper bottom pinch roll is subject to ₁, P ₂, P ₃, P ₄, clamping force is along band cross direction profiles value q _jand the shared unit number n of band running deviation value _p, the roller amount of the inclining Δ η (i) of upper bottom pinch roll each several part, top working roll roll shape

bottom working roll roll shape deng the relation between equipment and technological parameter, fundamental equation is:

\{\begin{matrix} Σ_{j = 1}^{m + n_{p}} b_{ij} q_{j} - a_{p_{1} i} p_{1} - a_{p_{3} i} p_{3} - 2 K^{'} (q_{m + 1 + n_{p}} - q_{i}) = C_{Li}, n - m + 1 - n_{p} \leq i \leq n + 1 \\ Σ_{j = m + 2 + n_{p}}^{2 m + 1} b_{ij} q_{j} - a_{p_{2} i} p_{2} - a_{p_{4} i} p_{4} - 2 K^{'} (q_{m + 1 + n_{p} - q_{i}}) C_{Ri}, n + 1 < i \leq n + m + 1 - n_{p} \\ b_{ij} = a_{ij}^{s} + a_{ij}^{x} \\ C_{Li} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} - Δη (i), n - m + 1 - n_{p} \leq i \leq n + 1 \\ C_{Ri} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} + Δη (i), n + 1 < i \leq n + m + 1 - n_{p} \end{matrix};

G5-4), according to the power of upper bottom pinch roll and equalising torque, provide corresponding equilibrium equation:

\{\begin{matrix} P_{1} + P_{2} = P_{y 0} \\ P_{3} + P_{4} = P_{y 0} \\ Σ_{j = 1}^{2 m + 1} q_{j} = P_{y 0} \\ P_{1} \frac{l_{0}}{2} - Σ_{j = 1}^{m + 1 + n_{p}} q_{j} [m + 1 - j] Δx = P_{2} \frac{l_{0}}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \\ P_{3} \frac{l_{0}}{2} - Σ_{j = 1}^{m + n_{p}} q_{j} [m + 1 - j] Δx = P_{4} \frac{l_{0}}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \end{matrix};

G5-5) comprehensive g5-3), g5-4) described equation calculates clamping force along the Distribution Value q in strip width direction _j;

G6) utilize the model in document [7] to calculate corresponding compression stress ot _j;

G7) judge inequality set up? if inequality is set up, otherwise proceeds to step g 8), otherwise proceed to step g 10);

G8) calculate bite stage clamping force optimization aim function F _y, its expression formula is

F_{y} = | | \frac{P_{0} - P_{y 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | |;

G9) judge F _y<F ₀whether set up, make F if set up ₀=F _y, P _y=P _y0, i=i+1 proceeds to step g 4), otherwise make i=i+1, directly proceed to step g 4);

G10) complete the calculating that the best clamping force of bite stage sets value;

(h) calculate and build a clamping force P for stage pinch roll _z, adopt the step (fundamental block diagram is as shown in Figure 8) that can be carried out by computer as follows:

H1) the initial value P of given clamping force ₀=P ₂₃and object function initial value F ₀=10 ¹⁰;

H2) definition cyclic process variable k, step-size in search Δ P, builds the process setting value P of a stage gripping power _z0;

H3) make k=0, Δ P=0.05P ₀;

H4) make P _z0=P ₀+ k Δ P;

H5) utilize similar g5) method to calculate total clamping force be P _z0time clamping force cross direction profiles value q _j, j=1,2 ..., 2m+1;

H6) utilize the model in document [7] to calculate corresponding compression stress ot _j;

H7) judge inequality

whether set up, if inequality is set up, proceed to step h8), otherwise proceed to step h10);

H8) calculate and build a stage gripping power optimization aim function F _z, its expression formula is

F_{z} = | | \frac{P_{0} - P_{z 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | |;

H9) judge F _z<F ₀whether set up, make F if set up ₀=F _z, P _z=P _z0, k=k+1 proceeds to step h4), otherwise make k=k+1, directly proceed to step h4);

H10) complete the calculating that best clamping force of a stage of building sets value.

Advantage of the present invention is: the equipment and technology feature that fully combines hot-rolled coiler pinch roll, consider the impact of the on-the-spot actual condition factors such as the variation of pinch roll wearing and tearing, supplied materials section configuration, by the clamping force of rational setting pinch roll, farthest reduced send deficiency to, skid, probability of happening that band and guide plate surface tear, strip surface are pressed against the defects such as wound, guarantee the normal work of pinch roll, created larger economic benefit to scene.

Accompanying drawing explanation

Fig. 1 pinch roll fundamental diagram;

Fig. 2 pinch roll clamping force is optimized general flow chart;

Fig. 3 coiling machine relevant device parameter schematic diagram;

Fig. 4 bite stage clamping force is optimized calculation flow chart;

Fig. 5 calculates clamping force cross direction profiles flow chart;

Fig. 6 pinch roll and band dividing elements schematic diagram;

Fig. 7 pinch roll and band dividing elements and influence coefficient solve flow chart;

Fig. 8 calculates and builds a stage gripping flow chart.

In figure: 1, band, 2, hot fine rolling unit, 3, laminar cooling system, 4, runout table, 5, pinch roll set, 6, coiling machine, 7, top pinch roll, 8, bottom pinch roll, 9, upper guide plate, 10, bottom guide, 11, help winding up roller, 12, reel.

The specific embodiment

The first embodiment:

The present embodiment is take the common straightcarbon steel of 8mm × 1800mm as example, in the time that coiling temperature is 650 °, pinch roll solved respectively nipping with steel and build the clamping force in two stages, carrys out to introduce in detail specific embodiment of the invention process below;

First, in step 1, collect equipment and the technological parameter of hot rolling coiler, mainly comprise: the radius R of top pinch roll _uthe radius R of=450mm, bottom pinch roll _dthe diameter D of=250mm, top pinch roll _uthe diameter D of=900mm, bottom pinch roll _d=500mm, the long L of the top pinch roll body of roll _w=2050mm, the distance l of bearing to pinch roll fore side and transmission side application point ₀the actual roll shape of=3060mm, top pinch roll

the actual roll shape of bottom pinch roll

the radius R of reel _volumeangle of inclination beta=37 of=375mm, upper guide plate and horizontal direction °, bottom pinch roll are to the distance δ of upper guide plate extended line ₁the horizontal range B=2500mm in vertical distance A=1950mm, the bottom pinch roll center of circle and the reel center of circle in=200mm, the bottom pinch roll center of circle and the reel center of circle, the side-play amount e=210mm of top pinch roll, last rolling mill batch milimeter number L=10km to the coefficient of rolling friction f=0.2 of the distance l=100m between pinch roll, hot strip steel and pinch roll, pinch roll;

Subsequently, in step 2, collect band steel description and the technological parameter for the treatment of pinch roll, mainly comprise strip width b=1800mm, belt steel material Poisson's ratio v=0.3, band steel elastic modelling quantity E=95GPa, band steel yield limit σ _s=110MPa, the thickness h=8mm with steel, the proportion γ=76440N/cm with steel ³, enter the acceleration a=1.5m/s of pinch roll with steel ², coiling tension setting value T=6MPa;

Subsequently, in step 3, collect pinch roll clamping force calculating process parameter, mainly comprise precision ε=0.001, gravity acceleration g=9.8m/s ²;

Subsequently, in step 4, given main processes parameter, comprises safety coefficient ψ=2, initial friction coefficient μ ₀=0.3, the running deviation value δ of coefficient of friction attenuation coefficient ζ=0.0035, band _p=0;

Subsequently, in step 5, calculate coefficientoffrictionμ=0.2896 between roll surface and band in the pinch roll course of work; Subsequently, in step 6, the method for utilizing document [1], [2], [3] to introduce calculates under current working and guarantees that it is P that band steel is sent the needed clamping force minimum of a value of power to ₁₁=62781N, guarantee enter reel and help in the roll gap of winding up roller and the clamping force of not clashing into upper guide plate is P along the tangent direction of guide plate with steel ₁₂=46148N, assurance are with the non-slip minimum grip power P of steel ₂₃=149129N;

Subsequently, in step 7, the initial value P of given clamping force ₀=62781N and object function initial value F ₀=10 ¹⁰;

Subsequently, in step 8, definition cyclic process variable i, step-size in search Δ P, the process setting value P of bite stage clamping force _y0;

Subsequently, in step 9, make i=0, Δ P=0.05P ₀=3139N;

Subsequently, in step 10, make P _y0=P ₀+ i Δ P;

Subsequently, in step 11, calculating total clamping force is P _y0time clamping force cross direction profiles value q _j, j=1,2 ..., 2m+1;

Subsequently, in step 12, upper bottom pinch roll is divided into 81 equal portions along barrel length, calculates the width of every equal portions

Δx = \frac{L_{w}}{M} = \frac{2050}{81} = 25.3;

Subsequently, in step 13, in like manner band is divided into the unit number that width is Δ x

Subsequently, in step 14, introduce upper and lower pinch roll support roller unit partition process parameter n, band dividing elements procedure parameter m, and order

n = \frac{N - 1}{2} = 40,

m = \frac{M - 1}{2} = 35;

Subsequently, in step 15, calculate the shared unit number of band sideslip

Subsequently, in step 16, calculate top working roll amount of deflection influence coefficient

bottom working roll amount of deflection influence coefficient

and

the influence coefficient of the suffered support force of bottom pinch roll to pinch roll amount of deflection

and

elastic flattening COEFFICIENT K between pinch roll and band '; Subsequently, in step 17, definition calculating process parameter P ₁, P ₂, P ₃, P ₄, P in formula ₁for the holding power that top pinch roll active side is subject to, P ₂the holding power, the P that are subject to for top pinch roll transmission side ₃holding power, P that bottom pinch roll active side is subject to ₄the holding power that bottom pinch roll transmission side is subject to;

Subsequently, in step 18, according to upper and lower pinch roll and with the compatibility of deformation relation between steel, provide the thickness distribution h of strip width direction _i, the support force P that upper bottom pinch roll is subject to ₁, P ₂, P ₃, P ₄, clamping force is along band cross direction profiles value q _jand the shared unit number n of band running deviation value _p, the roller amount of the inclining Δ η (i) of upper bottom pinch roll each several part, top working roll roll shape

\{\begin{matrix} Σ_{j = 1}^{m + n_{p}} b_{ij} q_{j} - a_{p_{1} i} p_{1} - a_{p_{3} i} p_{3} - 2 K^{'} (q_{m + 1 + n_{p}} - q_{i}) = C_{Li}, n - m + 1 - n_{p} \leq i \leq n + 1 \\ Σ_{j = m + 2 + n_{p}}^{2 m + 1} b_{ij} q_{j} - a_{p_{2} i} p_{2} - a_{p_{4} i} p_{4} - 2 K^{'} (q_{m + 1 + n_{p} - q_{i}}) C_{Ri}, n + 1 < i \leq n + m + 1 - n_{p} \\ b_{ij} = a_{ij}^{s} + a_{ij}^{x} \\ C_{Li} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} - Δη (i), n - m + 1 - n_{p} \leq i \leq n + 1 \\ C_{Ri} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} + Δη (i), n + 1 < i \leq n + m + 1 - n_{p} \end{matrix};

Subsequently, in step 19, according to the power of upper bottom pinch roll and equalising torque, provide corresponding equilibrium equation:

\{\begin{matrix} P_{1} + P_{2} = P_{y 0} \\ P_{3} + P_{4} = P_{y 0} \\ Σ_{j = 1}^{2 m + 1} q_{j} = P_{y 0} \\ P_{1} \frac{l_{0}}{2} - Σ_{j = 1}^{m + 1 + n_{p}} q_{j} [m + 1 - j] Δx = P_{2} \frac{l_{0}}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \\ P_{3} \frac{l_{0}}{2} - Σ_{j = 1}^{m + n_{p}} q_{j} [m + 1 - j] Δx = P_{4} \frac{l_{0}}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \end{matrix};

Subsequently, in step 20, the equation group in solution procedure 18,19 can calculate clamping force along the Distribution Value q in strip width direction _j;

Subsequently, in step 21, utilize document [7] to calculate corresponding compression stress ot _j;

Subsequently, in step 22, obviously inequality 31.7MPa≤65MPa sets up, and proceeds to step 23;

Subsequently, in step 23, calculate bite stage clamping force optimization aim function F _y, its expression formula is

F_{y} = | | \frac{P_{0} - P_{y 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | | = 0.502;

Subsequently, in step 24, judge F _y<F ₀set up, make F ₀=F _y=0.502, P _y=P _y0=62781N, i=i+1 proceeds in step 10 and continues to calculate, until meet the condition of jumping out circulation;

Subsequently, in step 25, complete the calculating of the best clamping force setting value of bite stage, result of calculation P _y=96394N;

Subsequently, in step 26, an initial value P of pinch roll clamping force when given calculating is built ₀=149129N and object function initial value F ₀=10 ¹⁰;

Subsequently, in step 27, definition cyclic process variable k, step-size in search Δ P, builds the process setting value P of a stage gripping power _z0;

Subsequently, in step 28, make k=0, Δ P=0.05P ₀=7456N;

Subsequently, in step 29, make P _z0=P ₀+ k Δ P;

Subsequently, in step 30, utilize similar method to calculate total clamping force for P _z0time clamping force cross direction profiles value q _j, j=1,2 ..., 2m+1;

Subsequently, in step 31, utilize the model of document [7] to calculate corresponding compression stress ot _j;

Subsequently, in step 32, inequality 47MPa≤65MPa obviously sets up, and proceeds to step 34;

Subsequently, in step 33, calculate and build a stage gripping power optimization aim function F _z, its expression formula

F_{z} = | | \frac{P_{0} - P_{z 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | | = 0.277;

Subsequently, in step 34,0.277<10 ¹⁰obviously set up, make F ₀=F _z=0.277, P _z=P _z0=149129N, k=k+1 proceeds to step 29 to be continued to calculate until satisfy condition;

Subsequently, in step 35, complete the calculating of best clamping force setting value of a stage of building, output end product P _z=179129N.

The second embodiment:

In order to further illustrate thought of the present invention, the existing common straightcarbon steel take 12mm × 1500mm is as example, when coiling temperature is 650 °, pinch roll solved nipping with steel and build the clamping force in two stages, and concrete computational process is as follows:

First, in step 1, collect equipment and the technological parameter of hot rolling coiler, mainly comprise: the radius R of top pinch roll _uthe radius R of=450mm, bottom pinch roll _dthe diameter D of=250mm, top pinch roll _uthe diameter D of=900mm, bottom pinch roll _d=500mm, the long L of the top pinch roll body of roll _w=2050mm, the distance l of bearing to pinch roll fore side and transmission side application point ₀the actual roll shape of=3060mm, top pinch roll the actual roll shape of bottom pinch roll

the radius R of reel _volumeangle of inclination beta=37 of=375mm, upper guide plate and horizontal direction °, bottom pinch roll are to the distance δ of upper guide plate extended line ₁the horizontal range B=2500mm in vertical distance A=1950mm, the bottom pinch roll center of circle and the reel center of circle in=200mm, the bottom pinch roll center of circle and the reel center of circle, the side-play amount e=230mm of top pinch roll, last rolling mill batch milimeter number L=10km to the coefficient of rolling friction f=0.2 of the distance l=100m between pinch roll, hot strip steel and pinch roll, pinch roll;

Subsequently, in step 2, collect band steel description and the technological parameter for the treatment of pinch roll, mainly comprise strip width b=1500mm, belt steel material Poisson's ratio v=0.3, band steel elastic modelling quantity E=95GPa, band steel yield limit σ _s=110MPa, the thickness h=12.7mm with steel, the proportion γ=76440N/cm with steel ³, enter the acceleration a=1m/s of pinch roll with steel ², coiling tension setting value T=4MPa;

Subsequently, in step 5, calculate coefficientoffrictionμ=0.2896 between roll surface and band in the pinch roll course of work; Subsequently, in step 6, the method for utilizing document [1], [2], [3] to introduce calculates under current working and guarantees that it is P that band steel is sent the needed clamping force minimum of a value of power to ₁₁=80318N, guarantee enter reel and help in the roll gap of winding up roller and the clamping force of not clashing into upper guide plate is P along the tangent direction of guide plate with steel ₁₂=73964N, assurance are with the non-slip minimum grip power P of steel ₂₃=124274N;

Subsequently, in step 7, the initial value P of given clamping force ₀=80318N and object function initial value F ₀=10 ¹⁰;

Subsequently, in step 9, make i=0, Δ P=0.05P ₀=4010N;

Subsequently, in step 10, make P _y0=P ₀+ i Δ P;

Δx = \frac{L_{w}}{N} = \frac{2050}{81} = 25.3;

n = \frac{N - 1}{2} = 40,

m = \frac{M - 1}{2} = 29;

Subsequently, in step 15, calculate the shared unit number of band sideslip

Subsequently, in step 16, calculate top working roll amount of deflection influence coefficient bottom working roll amount of deflection influence coefficient

and

and

Subsequently, in step 18, according to upper and lower pinch roll and with the compatibility of deformation relation between steel, provide the thickness distribution h of strip width direction _i, the support force P that upper bottom pinch roll is subject to ₁, P ₂, P ₃, P ₄, clamping force is along the cross direction profiles value q of band _jand the shared unit number n of band running deviation value _p, the roller amount of the inclining Δ η (i) of upper bottom pinch roll each several part, top working roll roll shape

bottom working roll roll shape

deng the relation between equipment and technological parameter, fundamental equation is:

\{\begin{matrix} Σ_{j = 1}^{m + n_{p}} b_{ij} q_{j} - a_{p_{1} i} p_{1} - a_{p_{3} i} p_{3} - 2 K^{'} (q_{m + 1 + n_{p}} - q_{i}) = C_{Li}, n - m + 1 - n_{p} \leq i \leq n + 1 \\ Σ_{j = m + 2 + n_{p}}^{2 m + 1} b_{ij} q_{j} - a_{p_{2} i} p_{2} - a_{p_{4} i} p_{4} - 2 K^{'} (q_{m + 1 + n_{p} - q_{i}}) C_{Ri}, n + 1 < i \leq n + m + 1 - n_{p} \\ b_{ij} = a_{ij}^{s} + a_{ij}^{x} \\ C_{Li} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} - Δη (i), n - m + 1 - n_{p} \leq i \leq n + 1 \\ C_{Ri} = h_{i} - h_{0} - \frac{{ΔD}_{i}^{s}}{2} - \frac{{ΔD}_{i}^{x}}{2} + Δη (i), n + 1 < i \leq n + m + 1 - n_{p} \end{matrix};

\{\begin{matrix} P_{1} + P_{2} = P_{y 0} \\ P_{3} + P_{4} = P_{y 0} \\ Σ_{j = 1}^{2 m + 1} q_{j} = P_{y 0} \\ P_{1} \frac{l_{0}}{2} - Σ_{j = 1}^{m + 1 + n_{p}} q_{j} [m + 1 - j] Δx = P_{2} \frac{l_{0}}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \\ P_{3} \frac{l_{0}}{2} - Σ_{j = 1}^{m + n_{p}} q_{j} [m + 1 - j] Δx = P_{4} \frac{l}{2} - Σ_{j = m + 2 + n_{p}}^{2 m + 1} q_{j} [j - (m + 1 + n_{p})] Δx \end{matrix};

Subsequently, in step 20, can calculate clamping force along the Distribution Value q in strip width direction by the equation group in solution procedure 18,19 _j;

Subsequently, in step 22, obviously inequality 39.7MPa≤65MPa sets up, and proceeds to step 23;

F_{y} = | | \frac{P_{0} - P_{y 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | | = 0.39;

Subsequently, in step 24, obviously 0.39<10 ¹⁰set up, make F ₀=F _y=0.39, P _y=P _y0=80318N, i=i+1 proceeds in step 10 and continues to calculate, until meet the condition of jumping out circulation;

Subsequently, in step 25, complete the calculating of the best clamping force setting value of bite stage, output result of calculation P _y=102683N;

Subsequently, in step 26, an initial value P of pinch roll clamping force when given calculating is built ₀=124374N and object function initial value F ₀=10 ¹⁰;

Subsequently, in step 28, make k=0, Δ P=0.05P ₀=6213N;

Subsequently, in step 29, make P _z0=P ₀+ k Δ P;

Subsequently, in step 31, utilize model of literature to calculate corresponding compression stress ot _j;

Subsequently, in step 32, inequality 43MPa≤65MPa obviously sets up, and proceeds to step 34;

F_{z} = | | \frac{P_{0} - P_{z 0}}{P_{0}} | - | \frac{\frac{σ_{s}}{ψ} - \max {σ_{j}}}{\frac{σ_{s}}{ψ}} | | = 0.338;

Subsequently, in step 34, judge 0.338<10 ¹⁰obviously set up, make F ₀=F _z=0.338, P _z=P _z0=124274N, k=k+1 proceeds to step 29 to be continued to calculate until satisfy condition;

Subsequently, in step 35, complete the calculating of best clamping force setting value of a stage of building, output end product P _z=142633N.

Claims

1. A method for comprehensively setting the clamping force of pinch rolls of a hot-rolling coiler, characterized in that: the method comprises the following steps performed by a computer:

(a) Collect the equipment and process parameters of the pinch roll of the hot rolling coiler, including: the radius R _u of the upper pinch roll, the radius R _d of the lower pinch roll, the diameter D _u of the upper pinch roll, the diameter of the lower pinch roll Roll diameter D _d , upper pinch roll body length L _w , distance l ₀ between the bearing and pinch roll operating side and driving side action points, and the actual roll shape of the upper pinch roll

Actual roll profile of the lower pinch roll

The radius R _roll of the reel, the inclination angle β between the upper guide plate and the horizontal direction, the distance δ ₁ from the lower pinch roller to the extension line of the upper guide plate, the vertical distance A between the center of the lower pinch roller and the center of the reel, the center of the lower pinch roller and The horizontal distance B of the center of the reel, the offset e of the upper pinch roller, the horizontal distance c between the tail of the lower guide plate and the center of the lower pinch roller, the vertical distance d between the tail of the lower guide plate and the center of the reel, and the last rolling mill to The distance l between the pinch rolls, the rolling friction coefficient f between the hot strip and the pinch rolls, the coiling kilometers L of the pinch rolls;

(b) Collect the specifications and process parameters of the strip to be passed through the pinch roll, including strip width b, strip material Poisson's ratio ν, strip elastic modulus E, strip yield limit σ _s , upper and lower pinch rolls The coefficient of friction μ ₂ at the bearing, the thickness h of the strip steel, the specific gravity γ of the strip steel, the acceleration a of the strip steel entering the pinch roller, and the set value T of the coiling tension;

(c) Collect the calculation process parameters of the pinch roller clamping force, including accuracy ε, gravity acceleration g;

(d) Given process parameters, including safety factor ψ, initial friction coefficient μ ₀ , friction coefficient attenuation coefficient ξ, strip deviation δ _p , where the deviation to the pinch roller operating side is positive;

(e) Calculate the friction coefficient μ between the roller surface and the strip during the working process of the pinch roller, and the calculation formula is μ=μ ₀ e- ^ξL ;

(f) Calculate the minimum value of the clamping force required to ensure the feeding force of the strip under the current working condition P ₁₁ , to ensure that the strip enters the roll gap between the reel and the roll-helping roller along the tangential direction of the guide plate without The clamping force hitting the upper guide plate is P ₁₂ , and the minimum clamping force P ₂₃ to ensure that the strip does not slip;

(g) Calculate the clamping force P _y of the pinch roller in the biting stage;

(h) Calculate the clamping force P _z of the pinch roller in the tension building stage;

(i) After the calculation is completed, the value of the clamping force is output.

2. The method for comprehensively setting the clamping force of the pinch roll of the hot rolling coiler according to claim 1, characterized in that: in step (g), the calculation of the clamping force P _y of the pinch roll in the biting stage includes the following Steps performed by computer:

_g 1) Given the initial value of the clamping force P ₀ =max{P ₁₁ , P ₁₂ } and the initial value of the objective function F ₀ =10 ¹⁰ ;

g2) Define the cycle process variable i, the search step size ΔP, and the process setting value P _y0 of the clamping force in the biting stage;

g3) Let i=0, ΔP=0.05P ₀ ;

g4) Let P _y0 =P ₀ +iΔP;

g5) Calculate the clamping force lateral distribution value q _j when the total clamping force is P _y0 , j=1,2,...,2m+1; including the following steps;

g5-1) The division of pinch rolls and strip steel units and the solution to the deflection influence coefficient include the following steps:

g5-1-1) Divide the upper and lower pinch rollers into N equal parts along the length of the roller body, and calculate the width of each equal part

g5-1-2) Similarly, divide the strip into units with a width of Δx

g5-1-3) Introduce the upper and lower pinch roller support roller unit division process parameter n, the strip unit division process parameter m, and make

no = \frac{N - 1}{2}, m = \frac{m - 1}{2};

g5-1-4) Calculate the number of units occupied by strip deviation

g5-1-5) Calculate the influence coefficient of the upper work roll deflection

Bottom work roll deflection influence coefficient Influence coefficient of the supporting force on the pinch roll deflection of the upper pinch roll

and

Influence coefficient of the supporting force on the pinch roller deflection of the lower pinch roller

and

Elastic flattening coefficient K' between the pinch roller and the strip;

g5-2) Define the calculation process parameters P ₁ , P ₂ , P ₃ , P ₄ , where P ₁ is the support force received by the operation side of the upper pinch roller, P ₂ is the support force received by the drive side of the upper pinch roller, P ₃ is the support force received by the operation side of the lower pinch roller, and P ₄ is the support force received by the drive side of the lower pinch roller;

g5-3) According to the deformation coordination relationship between the upper and lower pinch rollers and the strip steel, the thickness distribution h _i in the width direction of the strip steel, the support forces P ₁ , P ₂ , P ₃ , P ₄ , clamping force distribution value q _j along the lateral direction of the strip and the unit number n _p of the deviation of the strip, the inclination amount Δη(i) of each part of the upper and lower pinch rolls, the roll profile of the upper work roll

Bottom work roll

The relationship between equipment and process parameters, the basic equation is:

\{\begin{matrix} {Σ Σ}_{j j = = 11}^{m m + + {n no}_{p p}} {b b}_{ij ij} {q q}_{j j} - - {a a}_{{p p}_{11} i i} {p p}_{11} - - {a a}_{{p p}_{33} i i} {p p}_{33} - - 22 {K K}^{' '} (({q q}_{m m + + 11 + + {n no}_{p p}} - - {q q}_{i i})) = = {C C}_{Li Li},, n no - - m m + + 11 - - {n no}_{p p} \leq \leq i i \leq \leq n no + + 11 \\ {Σ Σ}_{j j = = m m + + 22 + + {n no}_{p p}}^{22 m m + + 11} {b b}_{ij ij} {q q}_{j j} - - {a a}_{{p p}_{22}} {p p}_{22} - - - - {a a}_{{p p}_{44}} {p p}_{44} - - 22 {K K}^{' '} (({q q}_{m m + + 11 + + {n no}_{p p}} - - {q q}_{i i})) = = {C C}_{Ri Ri},, n no + + 11 < < i i \leq \leq n no + + m m + + 11 - - {n no}_{p p} \\ {b b}_{ij ij} = = {a a}_{ij ij}^{s the s} + + {a a}_{ij ij}^{x x} \\ {C C}_{Li Li} = = {h h}_{i i} - - {h h}_{00} - - \frac{Δ Δ {D D.}_{i i}^{s the s}}{22} - - \frac{Δ Δ {D D.}_{i i}^{x x}}{22} - - Δη Δη ((i i)),, n no - - m m + + 11 - - {n no}_{p p} \leq \leq i i \leq \leq n no + + 11 \\ {C C}_{Ri Ri} = = {h h}_{i i} - - {h h}_{00} - - \frac{Δ Δ {D D.}_{i i}^{s the s}}{22} - - \frac{Δ Δ {D D.}_{i i}^{x x}}{22} + + Δη Δη ((i i)),, n no + + 11 < < i i \leq \leq n no + + m m + + 11 - - {n no}_{p p} \end{matrix};;

g5-4) According to the force and moment balance of the upper and lower pinch rollers, the corresponding balance equation is given:

\{\begin{matrix} {P P}_{11} + + {P P}_{22} = = {P P}_{y the y 00} \\ {P P}_{33} + + {P P}_{44} = = {P P}_{y the y 00} \\ {Σ Σ}_{j j = = 11}^{22 m m + + 11} {q q}_{j j} = = {P P}_{y the y 00} \\ {P P}_{11} \frac{{l l}_{00}}{22} - - {Σ Σ}_{j j = = 11}^{m m + + 11 + + {n no}_{p p}} {q q}_{j j} [[m m + + 11 - - j j]] Δx Δx = = {P P}_{22} \frac{{l l}_{00}}{22} - - {Σ Σ}_{j j = = m m + + 22 + + {n no}_{p p}}^{22 m m + + 11} {q q}_{j j} [[j j - - ((m m + + 11 + + {n no}_{p p}))]] Δx Δx \\ {P P}_{33} \frac{{l l}_{00}}{22} - - {Σ Σ}_{j j = = 11}^{m m + + {n no}_{p p}} {q q}_{j j} [[m m + + 11 - - j j]] Δx Δx = = {P P}_{44} \frac{{l l}_{00}}{22} - - {Σ Σ}_{j j = = m m + + 22 + + {n no}_{p p}}^{22 m m + + 11} {q q}_{j j} [[j j - - ((m m + + 11 + + {n no}_{p p}))]] Δx Δx \end{matrix};;

g5-5) Calculate the distribution value q _j of the clamping force along the strip width direction from the above formula;

g6) Calculate the corresponding compressive stress σ _j ;

g7) Judging inequality

Whether it is true, if the inequality is true, then go to step g8), otherwise go to step g10);

g8) Calculate the clamping force optimization objective function F _y in the biting stage, its expression is

f_{the y} = | | \frac{P_{0} - P_{the y 0}}{P_{0}} | - | \frac{\frac{σ_{the s}}{ψ} - \max {σ_{j}}}{\frac{σ_{the s}}{ψ}} | |;

g9) Determine whether F _y < F ₀ is true, if it is true let _F 0=F _y , P _y =P _y0 , i=i+1 go to step g4), otherwise let i=i+1 go directly to step g4 );

g10) Complete the calculation of the optimal clamping force setting value in the biting phase.

3. The method for comprehensively setting the clamping force of the pinch rolls of the hot rolling coiler according to claim 1, characterized in that: in step (h), the calculation of the clamping force P _z of the pinch rolls in the tension building stage includes the following Steps performed by computer:

h1) Given the initial value of the clamping force P ₀ =P ₂₃ and the initial value of the objective function F ₀ =10 ¹⁰ ;

h2) Define the cycle process variable k, the search step size ΔP, and the process setting value P _z0 of the clamping force in the tensioning stage;

h3) Let k=0, ΔP=0.05P ₀ ;

h4) Let P _z0 =P ₀ +kΔP;

h5) Use the method of g5) to calculate the clamping force lateral distribution value q _j when the total clamping force is P _z0 , j=1,2,...,2m+1;

h6) Calculate the corresponding compressive stress σ _j ;

h7) judgment inequality

Whether it is true, if the inequality is true, then go to step h8), otherwise go to step h10);

h8) Calculate the optimal objective function F _z of the clamping force in the tensioning stage, and its expression is

f_{z} = | | \frac{P_{0} - P_{z 0}}{P_{0}} | - | \frac{\frac{σ_{the s}}{ψ} - \max {σ_{j}}}{\frac{σ_{the s}}{ψ}} | |;

h9) Determine whether F _z < F ₀ is true, if it is true let F ₀ =F _z , P _z =P _z0 , k=k+1 go to step h4), otherwise let k=k+1 go directly to step h4 );

h10) Complete the calculation of the optimal clamping force setting value in the tension building stage.