CN109158433B - A kind of prediction of rolling force method of Varying Thickness Plates strip-rolling production - Google Patents

A kind of prediction of rolling force method of Varying Thickness Plates strip-rolling production Download PDF

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CN109158433B
CN109158433B CN201811029047.5A CN201811029047A CN109158433B CN 109158433 B CN109158433 B CN 109158433B CN 201811029047 A CN201811029047 A CN 201811029047A CN 109158433 B CN109158433 B CN 109158433B
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thickness
rolling
slab
roll
varying
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CN109158433A (en
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刘元铭
王涛
任忠凯
韩建超
和东平
高翔宇
孙杰
张殿华
***
刘燕萍
张建林
牛亚楠
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Shanxi Zhonggong Heavy Forging Co Ltd
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Taiyuan University of Technology
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B38/00Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/08Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring roll-force
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B1/00Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
    • B21B1/22Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
    • B21B1/24Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length in a continuous or semi-continuous process
    • B21B1/26Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length in a continuous or semi-continuous process by hot-rolling, e.g. Steckel hot mill

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  • Mechanical Engineering (AREA)
  • Metal Rolling (AREA)
  • Control Of Metal Rolling (AREA)

Abstract

The invention belongs to rolling technical field, in particular to a kind of prediction of rolling force method of Varying Thickness Plates strip-rolling production.Determine inlet thickness, outlet thickness Qu Houdu, the thin area's thickness in outlet, width and the inlet temperature, slab Varying-thickness section length of slab;The speed of rolls is detected, the friction factor of roller radius and roll and slab is obtained, roll rises or falls speed;According to the section length that thickens, the thin area's half thickness of thick area's half thickness and outlet is exported, calculates the area wedge shape inclination angle that thickens;Deviate the distance of roll line of centres in the outlet port for calculating Varying-thickness contact in rolling;Calculate Qu total rolling time that thickens;Calculate the outlet half thickness of Varying-thickness contact in rolling;It is minimized using contact in rolling general power functional, predicts the roll-force of any moment in Varying Thickness Plates strip-rolling production process.The present invention comprehensively considers the roll-force on the basis of each technological parameter, predicted in real time in the operation of rolling closer to live actual value, improves the precision of product thickness control.

Description

A kind of prediction of rolling force method of Varying Thickness Plates strip-rolling production
Technical field
The invention belongs to rolling technical field, in particular to a kind of prediction of rolling force side of Varying Thickness Plates strip-rolling production Method.
Background technique
As energy-saving and emission-reduction and low-carbon environment-friendly have become the common recognition of countries in the world, variable-thickness steel plate is produced as steel and is led A distinctive energy-saving material-saving new technology of tool is concerned by people in domain.The variable-thickness steel plate obtained using rolling mode (the poor slab TRB of LP steel plate and cold rolling production including hot rolling production) mitigates construction weight, reduction weld seam, surface matter because having Measure, the advantages that bonding strength is high, production efficiency and lumber recovery are high and show powerful vitality, in auto manufacturing, build It builds industry, shipbuilding and bridge tentatively to succeed already application, and demand increasingly expands.Furthermore in the MAS of Heavy Plate Production Varying-thickness rolling technique is also related in the technologies such as rolling and cold continuous rolling dynamic variable specification.
The research of Varying-thickness rolling at present mainly uses engineering method and FInite Element.But engineering method is used with string for arc, is asked Solution preocess carries out certain mathematic(al) simplification processing, and precision of prediction is relatively low;The Finite element arithmetic time is long, and calculating every time can only be pair The result of one concrete technology is shown.So short different with prediction with high accuracy there is an urgent need to obtain a kind of calculating time The method of roll-force consecutive variations situation under Varying Thickness Plates strip-rolling working condition.
Summary of the invention
The purpose of the present invention is to provide a kind of prediction of rolling force methods of Varying Thickness Plates strip-rolling production.
The present invention is achieved by the following technical solutions: a kind of prediction of rolling force side of Varying Thickness Plates strip-rolling production Method, comprising the following steps:
Step 1: the inlet thickness 2h of slab is determined according to certain passage technological procedure data0, outlet thickness area thickness 2hthick、 Export thin area's thickness 2hthin, throat width 2w and inlet temperature T, slab thicken section length L;
Step 2: detection speed of rolls vR, the friction factor μ of roller radius R and roll and slab is obtained, roll rises Or decrease speed Vy
Step 3: according to the section length L that thickens, outlet thickness area half thickness hthickWith the thin area's half thickness h in outletthin, calculating thickens Area's wedge shape inclination alpha0
Step 4: deviateing the distance x of roll line of centres in the outlet port for calculating Varying-thickness contact in rolling0
Step 5: calculating Qu total rolling time t that thickens0
Step 6: calculating the outlet half thickness h of any moment t Varying-thickness contact in rolling1
Step 7: being minimized using Varying-thickness contact in rolling general power functional, prediction Varying Thickness Plates strip-rolling produced The roll-force of any moment t in journey;
Step 7.1: according to rolling deformation metal quality law of conservation, roll is risen or fallen when consideration Varying-thickness rolls It influences, establishes velocity field and the rate of straining field of Varying-thickness contact in rolling;
Step 7.2: according to rolling deformation metal quality law of conservation, utilizing the speed at the neutral surface of Varying-thickness contact in rolling The geometric dimension of degree, neutral angle and slab and roll indicates slab entrance velocity;
Step 7.3: being thickend according to the practical rolling stock of the inlet temperature of slab and scene and rolling procedure and any moment Deformed area exit thickness is spent, the resistance of deformation of slab is obtained:
Step 7.4: according to velocity field, rate of straining field, slab deformation drag, calculating slab Varying-thickness and roll any moment The general power functional of t;
Step 7.5: when calculating any moment t, the corresponding general power functional of different neutral angles obtains general power functional most Small value calculates the roll-force of any moment t according to the relationship between general power functional and roll-force;
The step 7.1 according to rolling deformation metal quality law of conservation, consider when Varying-thickness rolling roll rise or under Velocity field and the rate of straining field of Varying-thickness contact in rolling are established in the influence of drop, specific as follows:
Coordinate system is established by origin of the midpoint of roll line of centres, the direction where x, y and z respectively indicates the length of slab Degree, thickness and width direction, the velocity field of Varying-thickness contact in rolling are as follows:
vz=0
Wherein, vx、vy、vzRespectively the length of hot rolling slab, thickness and width direction velocity component;hxBecome for rolling Shape area any position slab thickness half;h'xFor hxFirst derivative h'x=dhx/ dx, α is any point in deformed area and roll The angle of the line in the roller center of circle and roll line of centres, when θ be rolling the line in any moment t inlet contact point and the roll center of circle and The angle of roll line of centres, R are roller radius, h0For entrance half thickness, v0For slab entrance velocity, VyFor roll move up or under Speed is moved, V when thickening rolling is known according to coordinate system directionyFor positive value, V when rolling is thinnedyFor negative value, roll and plate when l is rolling Floor projection length of the base contact point to roll line of centres;
The rate of straining field of Varying-thickness contact in rolling are as follows:
Wherein,Respectively the length of slab, thickness and width direction rate of straining component,For plate On base width and thickness x cross sectional, it is directed toward the shear strain velocity component of thickness direction,To refer in slab length and width section To the shear strain velocity component of width direction,For the shear strain speed for being directed toward length direction in slab length and width section Component, h "xFor hxSecond dervative h "x=dh'x/dx;
The step 7.2 is according to rolling deformation metal quality law of conservation, at the neutral surface of Varying-thickness contact in rolling Speed, neutral angle and slab and roll geometric dimension indicate slab entrance velocity, it is specific as follows:
Slab entrance velocity v0Are as follows:
vRFor the speed of rolls, undetermined parameter neutral angle αnIt is the constant changed with rolling technological parameter, 0≤αn≤θ; The rolling technological parameter includes slab inlet thickness 2h0, drafts, entrance velocity v0, speed of rolls vR, roller radius R and change Thick area's wedge shape inclination alpha0
It is any to calculate the rolling of slab Varying-thickness according to velocity field, rate of straining field, slab deformation drag for the step 7.4 The general power functional J of moment t*, it is specific as follows:
The general power functional J of any moment t in thinning area*Are as follows:
The general power functional J of any moment t in buildup area*Are as follows:
σsFor the resistance of deformation of slab, x0Deviate the distance of roll line of centres for the outlet port of Varying-thickness contact in rolling, 2w is slab throat width, 2h1For any moment t Varying-thickness contact in rolling exit thickness;
When the step 7.5 calculates any moment t, different neutral angle αnCorresponding general power functional, it is general to obtain general power Letter J*Minimum valueAccording to the relationship between general power functional and roll-force:It calculates and appoints The rolling force F of one moment t.
The prediction of rolling force method of Varying Thickness Plates strip-rolling production of the present invention has such as compared with prior art It is lower the utility model has the advantages that
The present invention predicts that the roll-force during Varying-thickness continuous rolling, the roll-force predicted in real time more connects Nearly scene actual value.Comprehensively consider in the operation of rolling on the basis of each technological parameter, it is accurate to predict Varying-thickness continuous rolling mistake Roll-force in journey solves the forecasting problem of the real-time roll-force under different working conditions.The present invention is safe and reliable, calculates quasi- Really, the roll-force during continuous rolling can be calculated in real time online, can be applied to cut deal MAS rolling, cold rolling it is poor Slab, hot rolling LP steel plate, cold continuous rolling dynamic variable specification etc. during roll-force setting, saving investment of production cost Meanwhile improving the precision of product thickness control.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with It obtains other drawings based on these drawings.
Fig. 1 is to thicken rolling in the embodiment of the present invention to bite area and finished product a quarter schematic diagram, respectively A figure and B figure.
Fig. 2 is that rolling is thinned in the embodiment of the present invention to bite area and finished product a quarter schematic diagram, respectively A figure and B figure.
Fig. 3 is certain Heavy Plate Plant MAS rolling front and back slab schematic diagram in the embodiment of the present invention.
Fig. 4 is the flow chart of prediction of rolling force method in Varying-thickness rolling in the embodiment of the present invention.
Fig. 5 is that head thinning area in the embodiment of the present invention, tail portion buildup area and intermediate uniform thickness area roll-force change over time Predicted value.
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, technical solution of the present invention will be carried out below Detailed description.Obviously, described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Base Embodiment in the present invention, those of ordinary skill in the art are obtained all without making creative work Other embodiment belongs to the range that the present invention is protected.
Technical solution of the present invention is described in detail with reference to the accompanying drawing.
In the present embodiment, by taking the Q345 steel plate MAS course of hot rolling of certain Heavy Plate Plant 3000mm as an example, rolling front and back slab shows It is intended to as shown in figure 3, slab head, the tail portion operation of rolling are Varying-thickness rolling, head is that the operation of rolling is thinned, and tail portion is to thicken to roll Process processed, centre are stable rolling process.
Implement the prediction of rolling force method of Varying Thickness Plates strip-rolling production of the invention, as shown in figure 4, including following step It is rapid:
Step 1: the inlet thickness 2h of slab is determined according to certain passage technological procedure data0=0.18208m, thick area is exported Thickness 2hthick=0.16273m, the thin area's thickness 2h in outletthin=0.15577m, width 2w=2.611m and inlet temperature T= 1159 DEG C, the thinned section length L in slab headh=0.51111m, slab tail portion thicken section length Lt=0.37477m.
Step 2: detection speed of rolls vR=0.8518m/s obtains roller radius R=0.4729m and roll and slab Friction factor μ=0.4, slab head roll decrease speed Vyh=-0.0058m/s, tail portion roll rate of climb Vyt= 0.0079m/s;
Step 3: according to the section length that thickens, outlet thickness area half thickness hthickWith the thin area's half thickness h in outletthin, calculating thickens Area's wedge shape inclination alpha0.Slab head thinning area wedge shape inclination angleTail portion buildup area wedge shape inclination angle
Step 4: deviateing the distance x of roll line of centres in the outlet port for calculating Varying-thickness contact in rolling0, head, which is thinned, rolls Deviate roll line of centres distance x in deformed area outlet port processed0h=Rsin α0h=0.4729 × sin0.006811= 0.003221m, tail portion thicken contact in rolling outlet port and deviate roll line of centres distance x0t=Rsin α0t=0.4729 × Sin0.009288=0.004392m.Wherein the area that thickens is located at L as illustrated in fig. 1 and 2, the Varying-thickness contact in rolling Positioned at l-x as shown in Figure 10Region, or positioned at l+x as shown in Figure 20Region.
Step 5: calculate Qu total rolling time that thickens:
The total rolling time in head thinning area:
The total rolling time of tail portion buildup area:
Step 6: calculating the outlet half thickness h of any moment t Varying-thickness contact in rolling1, head thinning area any moment t (t≤t0h) outlet half thickness h1h=hhthick+VyhT=(0.081365-0.0058t) m, tail portion buildup area any moment t (t≤ t0t) outlet half thickness h1t=hhthin+VytT=(0.077885+0.0079t) m.
Step 7: being minimized using Varying-thickness contact in rolling general power functional, prediction Varying Thickness Plates strip-rolling produced The roll-force of any moment t in journey;
The a quarter schematic diagram for thickening contact in rolling and thinned contact in rolling of present embodiment respectively such as Fig. 1 and Shown in Fig. 2, coordinate system is established by origin of the midpoint of roll line of centres, the direction where x, y and z respectively indicates the length of slab Degree, thickness and width direction.Roller radius is R, and slab throat width is 2w, inlet thickness 2h0, roll the thickness in the area Hou Hou For 2hthick, thin area with a thickness of 2hthin, the length in the area that thickens is L, and any moment t Varying-thickness contact in rolling exit thickness is 2h1;v0For slab entrance velocity, vRFor the speed of rolls, VySpeed is moved up or moved down for roll, is known according to coordinate system direction and is thickened V when rollingyFor positive value, V when rolling is thinnedyFor negative value;α0For the area wedge shape inclination angle that thickens, x0For going out for Varying-thickness contact in rolling The distance of roll line of centres is deviateed in mouth position, and x is horizontal distance of the Varying-thickness contact in rolling any point to roll line of centres, To the floor projection length of roll line of centres, α is any in Varying-thickness contact in rolling for roll and slab contact point when l is rolling A little and the angle of the line in the roll center of circle and roll line of centres, θ are any moment t inlet contact point and the roll center of circle when rolling Line and roll line of centres angle;
Step 7.1: according to rolling deformation metal quality law of conservation, roll is moved up or is moved down when consideration Varying-thickness rolls It influences, establishes velocity field and the rate of straining field of Varying-thickness contact in rolling;
The velocity field of Varying-thickness contact in rolling are as follows:
vz=0
Wherein, vx、vy、vzRespectively the length of hot rolling slab, thickness and width direction velocity component;hxFor Varying-thickness Contact in rolling any position slab thickness half;h'xFor hxFirst derivative h'x=dhx/dx;
The rate of straining field of Varying-thickness contact in rolling are as follows:
Wherein,Respectively the length of slab, thickness and width direction rate of straining component,For plate The shear strain velocity component of thickness direction is directed toward on base width and thickness x cross sectional,To be directed toward in slab length and width section The shear strain velocity component of width direction,For the shear strain speed point for being directed toward length direction in slab length and width section Amount, h "xFor hxSecond dervative h "x=dh'x/dx。
Step 7.2: according to rolling deformation metal quality law of conservation, utilizing the speed at the neutral surface of Varying-thickness contact in rolling Degree, neutral angle, the geometric dimension expression slab entrance velocity of slab and roll;
Slab entrance velocity v0Are as follows:
Undetermined parameter neutral angle αnIt is the constant changed with rolling technological parameter, 0≤αn≤θ;The rolling mill practice ginseng Number includes slab inlet thickness h0, drafts and entrance velocity v0And speed of rolls vR, roller radius R and the area's wedge shape that thickens incline Angle α0
Step 7.3: according to the hot rolling slab inlet temperature T and practical rolling stock Q345B in scene and rolling procedure and any Moment t Varying-thickness contact in rolling exit thickness, obtains the deformation resistance model of Q345B:
In formula, σsFor the resistance of deformation of slab, strainStrain rateKelvin Temperature
The resistance of deformation of any moment t calculates in the thinning area of head:
Strain:
Strain rate:
By εhWithThe deformation resistance model for substituting into Q345B obtains the resistance of deformation of any moment in the thinning area of head are as follows:
The resistance of deformation of any moment t calculates in the buildup area of tail portion:
Strain:
Strain rate:
By εtWithThe deformation resistance model for substituting into Q345B obtains the resistance of deformation of any moment in the buildup area of tail portion are as follows:
Step 7.4: according to velocity field, rate of straining field, slab deformation drag, calculating slab Varying-thickness and roll any moment The general power functional J of t*
The general power functional of any moment t in the thinning area of headAre as follows:
The general power functional of any moment t in the buildup area of tail portionAre as follows:
Step 7.5: when calculating any moment t, different neutral angle αnCorresponding general power functional, obtains general power functional Minimum valueThe rolling force F of any moment t is calculated according to the relationship between general power functional and roll-force;
The general power functional minimum value that tool box obtains any moment t in the thinning area of head is optimized using Matlab With the general power functional minimum value of any moment t in the buildup area of tail portionObtain the rolling of any moment t in the thinning area of head Power isThe roll-force for obtaining any moment t in the buildup area of tail portion isχ is arm of force coefficient, value 0.58 under this technological parameter.
Fig. 5 gives the predicted value that head thinning area, tail portion buildup area and intermediate uniform thickness area roll-force change over time.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain Lid is within protection scope of the present invention.Therefore, protection scope of the present invention should be based on the protection scope of the described claims.

Claims (1)

1. a kind of prediction of rolling force method of Varying Thickness Plates strip-rolling production, which comprises the following steps:
Step 1: the inlet thickness 2h of slab is determined according to certain passage technological procedure data0, outlet thickness area thickness 2hthick, outlet Thin area's thickness 2hthin, throat width 2w and inlet temperature T, slab thicken section length L;
Step 2: detection speed of rolls vR, the friction factor μ of roller radius R and roll and slab is obtained, roll rises or falls Speed Vy
Step 3: according to the section length L that thickens, outlet thickness area half thickness hthickWith the thin area's half thickness h in outletthin, calculate the area's wedge that thickens Shape inclination alpha0
Step 4: deviateing the distance x of roll line of centres in the outlet port for calculating Varying-thickness contact in rolling0
Step 5: calculating Qu total rolling time t that thickens0
Step 6: calculating the outlet half thickness h of any moment t Varying-thickness contact in rolling1
Step 7: being minimized, predicted in Varying Thickness Plates strip-rolling production process using Varying-thickness contact in rolling general power functional The roll-force of any moment t;
Step 7.1: according to rolling deformation metal quality law of conservation, considering the shadow that roll rises or falls when Varying-thickness rolling It rings, establishes velocity field and the rate of straining field of Varying-thickness contact in rolling;
Step 7.2: according to rolling deformation metal quality law of conservation, using at the neutral surface of Varying-thickness contact in rolling speed, Neutral angle and the geometric dimension of slab and roll indicate slab entrance velocity;
Step 7.3: being become according to the practical rolling stock of the inlet temperature of slab and scene and rolling procedure and any moment Varying-thickness Shape area exit thickness, obtains the resistance of deformation of slab:
Step 7.4: according to velocity field, rate of straining field, slab deformation drag, calculating slab Varying-thickness rolling any moment t's General power functional;
Step 7.5: when calculating any moment t, the corresponding general power functional of different neutral angles obtains the minimum of general power functional Value calculates the roll-force of any moment t according to the relationship between general power functional and roll-force;
The step 7.1 is according to rolling deformation metal quality law of conservation, and roll rises or falls when consideration Varying-thickness rolls It influences, establishes velocity field and the rate of straining field of Varying-thickness contact in rolling, specific as follows:
Coordinate system is established by origin of the midpoint of roll line of centres, the direction where x, y and z respectively indicates the length of slab, thickness Degree and width direction, the velocity field of Varying-thickness contact in rolling are as follows:
vz=0
Wherein, vx、vy、vzRespectively the length of hot rolling slab, thickness and width direction velocity component;hxAppoint for contact in rolling Meaning position slab thickness half;h'xFor hxFirst derivative h'x=dhx/ dx, α are any point and the roll center of circle in deformed area Line and roll line of centres angle, θ be rolling when any moment t inlet contact point and the roll center of circle line and roll company The angle of heart line, R are roller radius, h0For entrance half thickness, v0For slab entrance velocity, VySpeed is moved up or moved down for roll, V when thickening rolling is known according to coordinate system directionyFor positive value, V when rolling is thinnedyFor negative value, roll is contacted with slab when l is rolling Point arrives the floor projection length of roll line of centres;
The rate of straining field of Varying-thickness contact in rolling are as follows:
Wherein,Respectively the length of slab, thickness and width direction rate of straining component,It is wide for slab Degree is directed toward the shear strain velocity component of thickness direction on thickness x cross sectional,It is wide to be directed toward in slab length and width section The shear strain velocity component in direction is spent,For the shear strain velocity component for being directed toward length direction in slab length and width section, h″xFor hxSecond dervative h "x=dh'x/dx;
The step 7.2 utilizes the speed at the neutral surface of Varying-thickness contact in rolling according to rolling deformation metal quality law of conservation The geometric dimension of degree, neutral angle and slab and roll indicates slab entrance velocity, specific as follows:
Slab entrance velocity v0Are as follows:
vRFor the speed of rolls, undetermined parameter neutral angle αnIt is the constant changed with rolling technological parameter, 0≤αn≤θ;It is described Rolling technological parameter includes slab inlet thickness 2h0, drafts, entrance velocity v0, speed of rolls vR, roller radius R and the area that thickens Wedge-shaped inclination alpha0
The step 7.4 calculates slab Varying-thickness and rolls any moment t according to velocity field, rate of straining field, slab deformation drag General power functional J*, it is specific as follows:
The general power functional J of any moment t in thinning area*Are as follows:
The general power functional J of any moment t in buildup area*Are as follows:
σsFor the resistance of deformation of slab, x0Deviate the distance of roll line of centres for the outlet port of Varying-thickness contact in rolling, 2w is Slab throat width, 2h1For any moment t Varying-thickness contact in rolling exit thickness;
When the step 7.5 calculates any moment t, different neutral angle αnCorresponding general power functional, obtains general power functional J*'s Minimum valueAccording to the relationship between general power functional and roll-force:Wherein χ is arm of force system Number calculates the rolling force F of any moment t.
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