CN106269900B - A kind of camber Discrete control method based on hot-rolled intermediate billet flat shape - Google Patents
A kind of camber Discrete control method based on hot-rolled intermediate billet flat shape Download PDFInfo
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- CN106269900B CN106269900B CN201610841613.7A CN201610841613A CN106269900B CN 106269900 B CN106269900 B CN 106269900B CN 201610841613 A CN201610841613 A CN 201610841613A CN 106269900 B CN106269900 B CN 106269900B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/28—Control of flatness or profile during rolling of strip, sheets or plates
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/58—Roll-force control; Roll-gap control
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Abstract
The present invention provides a kind of camber Discrete control method based on hot-rolled intermediate billet flat shape, can realize and complicated camber is precisely controlled.The method includes:Obtain intermediate base upper surface fore side edge point coordinates and transmission side edge point coordinates;According to the fore side edge point coordinates of acquisition and transmission side edge point coordinates, the intermediate base width direction centerline points coordinate is determined;It carries out curve fitting to the intermediate base width direction centerline points coordinate, the intermediate base length direction is segmented;Determine total roll gap leveling value of every section of intermediate base;The position of intermediate base described in the operation of rolling is tracked, and according to total roll gap leveling value of every section of intermediate base, generates the pressure inclination control strategy of the segmentation to the intermediate base overall length camber.The present invention is suitable for the On-line Control of hot-rolled intermediate billet camber.
Description
Technical field
The present invention relates to steel rolling automatic control technology fields, particularly relate to a kind of sickle based on hot-rolled intermediate billet flat shape
The curved Discrete control method of knife.
Background technology
The camber of hot-rolled intermediate billet is the main forms of hot rolling rough rolling step slab asymmetry defect, generates reaping hook
The basic reason of curved phenomenon is that the extension on the length direction due to slab both sides is different.And it is different main that both sides is caused to extend
Reason has:Intermediate base both sides temperature is different;Milling train both sides rigidity is different;Memorial archway and bearing block gap are excessive;Flipper guide is to neutrality
It is bad etc..Hot rolling camber, once generating, can to occur threading difficulty in the subsequent finish rolling stage, wander off very in rough rolling step
To there are the production accidents such as piling of steel, the quality of product and the stability of production are seriously affected.
For breakdown bar camber problem, roughing mill exports and is generally equipped with width gage in hot continuous rolling actual production at present, grasps
Position and bending degree of the workmanship by base center line among observing, tilt roll gap and carry out manual adjustment, accuracy relies on behaviour
The experience of author, camber and roll gap leveling value do not form a certain amount relationship.
The prior art one disclosed a kind of hot-strip roughing mill in invention disclosed patent CN101934292A in 2011
Group camber and wedge-shaped autocontrol method, the method is come to two side rollers by this passage of milling train both sides rolling force deviation
Seam carries out adjustment in real time to control camber, but this method does not account for influence of the milling train both sides stiffness difference to camber, together
The thickness deviation problem that a time is left before Shi Buneng is eliminated, i.e., cannot eliminate existing camber defect;
The prior art two, in invention disclosed patent CN104162549A in 2014 discloses a kind of rougher of hot strip mill machine
Between base camber autocontrol method and system, under conditions of width gage measuring center line walks deviator, calculate intermediate base two
Side is long, and length difference is converted into thickness difference, by putting inclined control in advance to roll gap, to complete the control to camber.
First, the intermediate base center line measured by width gage cannot reflect unitary rotation of the intermediate base after milling train is gone out, measurement
As a result there is certain gap with the true camber form of intermediate base, secondly there is no consider milling train in the implementation process of the method
Wander off situation of the intermediate base in roll gap caused by both sides poor rigidity and intermediate base bending, finally, the method is just for centre
There is the situation in regular " C-shaped " reaping hook gulf in base, to only head, tail local buckling and " S-shaped " complexity often occurred in production
Camber do not have adjusting function.
Invention content
The technical problem to be solved in the present invention is to provide a kind of cambers based on hot-rolled intermediate billet flat shape to be segmented control
Method processed can be realized and complicated camber is precisely controlled.
In order to solve the above technical problems, the embodiment of the present invention provides a kind of camber based on hot-rolled intermediate billet flat shape
Discrete control method, including:
S1 obtains intermediate base upper surface fore side edge point coordinates and transmission side edge point coordinates;
S2 according to the fore side edge point coordinates of acquisition and transmission side edge point coordinates, determines that the intermediate base is wide
Spend direction center line point coordinates;
S3 carries out curve fitting to the intermediate base width direction centerline points coordinate, obtains the intermediate base width side
It is intermediate according to the waypoint coordinate pair of the intermediate base width direction center line of acquisition to the segmentation point coordinates of center line
Base length direction is segmented;
S4 calculates the fore side edge contour length of base, transmission side edge contour length among every section and walks deviator, and obtain
The milling train both sides poor rigidity of every section of intermediate base is taken, according to the fore side edge contour length of every section be calculated intermediate base, is passed
Dynamic lateral edges profile length and the milling train both sides poor rigidity of every section of intermediate base for walking deviator and acquisition, determine base among every section
Total roll gap leveling value;
S5, tracks the position of intermediate base described in the operation of rolling, and combines total roll gap leveling of the intermediate base of every section asked for
Value generates the pressure inclination control strategy of the segmentation to the intermediate base overall length camber.
Further, the S1 includes:
The intermediate base upper surface fore side edge point coordinates (x in milling train outlet is obtained by flat shape instrumento,yo) and transmission side
Edge point coordinates (xd,yd)。
Further, the S2 includes:
S21, according to the fore side edge point coordinates (x of acquisitiono,yo) calculate the intermediate base fore side edge contour
Length Lo:
Wherein, LoFor intermediate base fore side edge contour length, Δ Lo(i) it is intermediate i-th section of list of base fore side edge contour
First length, m be intermediate base fore side edge contour coordinate points number, xo(i) and yo(i) it is respectively intermediate base operation lateral edges i-th
Abscissa, the ordinate of a coordinate points;
S22 finds (p+1) a index point (x on the intermediate base fore side edge contourob,yob), make each mark
Profile between point is apart from equal:
Wherein,For the profile length between i-th of index point and (i+1) a index point, Lo
For intermediate base fore side edge contour length, xob(i) and yob(i) be respectively operation i-th of index point of lateral edges abscissa,
Ordinate, (p+1) be index point number, xo(i) and yo(i) it is respectively the abscissa of operation i-th of coordinate points of lateral edges, vertical seat
Mark, m are intermediate base fore side edge contour coordinate points number;
S23, according to the intermediate base transmission side edge point coordinates (xd,yd), S21 to S22 is repeated, is passed in the intermediate base
(p+1) a index point (x is determined on dynamic lateral edges profiledb,ydb);
S24, according to index point (x on the intermediate base fore side edge contourob,yob) and transmission side edge contour subscript
Will point (xdb,ydb), calculate the intermediate base width direction centerline points coordinate (xm,ym):
Wherein, xm(i),ym(i) respectively intermediate base width direction center line i-th coordinate points abscissa, ordinate, i=
1,2,…,p,p+1;(p+1) it is index point number.
Further, the S3 includes:
S31, to the intermediate base width direction centerline points coordinate (xm,ym) quintic curve fitting is carried out, it is bent to obtain fitting
Line expression formula:
Wherein, a5,a4,a3,a2,a1,a0For fitting coefficient;
S32, to matched curve ym=f (xm) secondary derivation is carried out, obtain expression formula:
S33 solves f " (xmThe Real Number Roots x of)=0mg, and meet f " (xmg+δ)×f″(xmg-δ)<During 0 condition, record faces
When waypointWherein,Respectively temporary subsection point abscissa, ordinate, δ
Small constant for length direction;
S34 determines waypoint:
When there is no during temporary subsection point, without being segmented, waypoint coordinate representation is the intermediate base:
When only existing 1 temporary subsection point, the intermediate base is divided into 2 sections, and waypoint coordinate representation is:
When there are during 2 temporary subsection points, it is assumed thatThe intermediate base is divided into 3 sections, waypoint coordinates table
It is shown as:
When there are during 3 temporary subsection points, it is assumed thatThe intermediate base is divided into 4 sections, waypoint
Coordinate representation is:
Wherein, xm(i),ym(i) respectively intermediate base width direction center line i-th coordinate points abscissa, ordinate, i=
1,2 ..., p, p+1, (p+1) are index point number.
Further, the S4 includes:
S41 calculates the intermediate base jth section fore side edge contour lengthWith jth section transmission side edge contour lengthWherein, j=1 ... n, (n+1) are waypoint number;
S42, according to the intermediate base jth section fore side edge contour length being calculatedSide is driven with jth section
Edge profile lengthCalculate the roll gap leveling value for correcting intermediate base jth section camberWherein, (n+1) is waypoint
Number, j=1 ... n;
S43 is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influenceWherein, (n+1) is waypoint
Number, j=1 ... n;
S44 is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influencesWherein, (n+1) is
Waypoint number, j=1 ... n;
S45 calculates the total roll gap leveling value of intermediate base jth sectionWherein, (n+1) is waypoint
Number, j=1 ... n.
Further, the S41 includes:
S411 determined the intermediate base width direction center line segments pointNormal equation be:
Wherein,For intermediate base width direction center line segments point abscissa, ordinate, xj,yjFor passing pointIntermediate base width direction center line normal on abscissa, the ordinate put,For intermediate base width direction
5 matched curve y of center linem=f (xm) pointLocate a derivation as a result, j=1,2 ..., n-1, (n+1) are
Waypoint number;
S412 determines fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance be:
Wherein,For the fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance,For in
Between base width direction center line segments point abscissa, ordinate,It is bent for intermediate 5 fittings of base width direction center line
Line ym=f (xm) pointLocate a derivation as a result, j=1,2 ..., n-1, (n+1) is waypoint number;
Search for all fore side edges point coordinates so thatMinimum fore side marginal point coordinate record is operation lateral edges
WaypointJ=1,2 ..., n-1, (n+1) are waypoint number;
Wherein,(n+1) it is waypoint number, xo(i) and yo(i) it is respectively intermediate base
The abscissa, ordinate of i-th of coordinate points of lateral edges are operated, m is intermediate base fore side edge contour coordinate points number;
S413 calculates intermediate base jth section fore side edge contour length
Wherein,For intermediate base jth section fore side edge contour length,Lateral edges are operated for intermediate base jth section
Profile the i-th segment unit length, xo(i) and yo(i) abscissa, ordinate of i-th of coordinate points of lateral edges are respectively driven, and i expires
Foot makes point (xo(i),yo(i)) in pointBetween, j=1 ... n, (n+1) is waypoint number;
S414, using transmission side edge point coordinates (xd,yd), S412 to S413 is repeated, calculates intermediate base jth section transmission side
Edge contour length
Further, the S42 includes:
S421, according to the intermediate base jth section fore side edge contour length being calculatedSide is driven with jth section
Edge profile lengthDetermine the poor Δ h of thickness of the intermediate base jth section fore side and transmission sidej:
Wherein, Δ hjThickness for intermediate base jth section fore side and transmission side is poor,Respectively intermediate base jth section operation
Side and the thickness of transmission side, h are the average thickness of intermediate base centerline overall length, and j=1 ... n, (n+1) is waypoint number;
S422 calculates the deviator that is averaged away of intermediate base jth section
Wherein,For the deviator that is averaged away of intermediate base jth section, YGFor roller-way center line ordinate, ymFor corresponding intermediate base
Meet on width direction center linePoint ordinate value, r for meetIntermediate base it is wide
The number put in degree direction center line, j=1 ... n, (n+1) are waypoint number;
S423 calculates the fore side roll gap adjustment value for correcting intermediate base jth section camber
Wherein,To correct the fore side roll gap adjustment value of intermediate base jth section camber, Q is plastically deformed for intermediate base
Coefficient, L be roll both sides hydraulic cylinder force point distance, K be milling train longitudinal rigidity, B be intermediate base width, Δ hjFor intermediate base
The thickness of jth section fore side and transmission side is poor,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint
Number;
S424 calculates the transmission side roll gap adjustment value for correcting intermediate base jth section camber
Wherein,To correct the transmission side roll gap adjustment value of intermediate base jth section camber, Q is intermediate base plastic deformation system
Number, L be roll both sides hydraulic cylinder force point distance, K be milling train longitudinal rigidity, B be intermediate base width, Δ hjFor intermediate base
The thickness of j sections of fore sides and transmission side is poor,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint
Number;
S425 calculates the roll gap leveling value for correcting intermediate base jth section camber
Wherein,To correct the roll gap leveling value of intermediate base jth section camber,To correct intermediate base jth section reaping hook
Curved transmission side roll gap adjustment value,To correct the fore side roll gap adjustment value of intermediate base jth section camber.
Further, the S43 includes:
S431 is calculated and is corrected intermediate base jth section and wander off the fore side roll gap adjustment value of influence
Wherein,It wanders off the fore side roll gap adjustment value of influence to correct intermediate base jth section, L is roll both sides hydraulic cylinder
The distance of stress point, K be milling train longitudinal rigidity, Δ PjForce difference is rolled for intermediate base jth section roll both sides, P is calculated for intermediate base
Roll-force,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;
S432 is calculated and is corrected intermediate base jth section and wander off the transmission side roll gap adjustment value of influence
Wherein,It wanders off the transmission side roll gap adjustment value of influence to correct intermediate base jth section, L is roll both sides hydraulic pressure
The distance of cylinder stress point, K be milling train longitudinal rigidity, Δ PjForce difference is rolled for intermediate base jth section roll both sides, P is intermediate base meter
Calculate roll-force,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;
S433 is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influence
Wherein,Wander off the roll gap leveling value of influence for middle base jth section,It wanders off to correct intermediate base jth section
The fore side roll gap adjustment value of influence,It wanders off the transmission side roll gap adjustment value of influence to correct intermediate base jth section, j=1 ...
N, (n+1) are waypoint number.
Further, the S44 includes:
S441 is calculated and is corrected the fore side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The fore side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, K is milling train
Longitudinal rigidity, KoFor milling train fore side rigidity, Δ PjForce difference is rolled for intermediate base jth section roll both sides, P is rolled for the calculating of intermediate base
Power processed, P0For the roll-force that returns to zero, j=1 ... n, (n+1) is waypoint number;
S442 is calculated and is corrected the transmission side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The transmission side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, K is milling train
Longitudinal rigidity, KdFor mill drive side rigidity, Δ PjForce difference is rolled for intermediate base jth section roll both sides, P is rolled for the calculating of intermediate base
Power processed, P0For the roll-force that returns to zero, j=1 ... n, (n+1) is waypoint number;
S443 is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The roll gap leveling value influenced to correct intermediate base jth section milling train both sides poor rigidity,It is intermediate to correct
The fore side roll gap adjustment value that base jth section milling train both sides poor rigidity influences,To correct intermediate base jth section milling train both sides rigidity
The transmission side roll gap adjustment value that difference influences, j=1 ... n, (n+1) are waypoint number.
Further, the S5 includes:
S51 during rolling, tracks the position that intermediate base enters milling train:
Wherein, LHFor the intermediate base length rolled, t is the time, and T is to start the time after rolling, ShIt is worth for rear cunning,
vwFor roll rotation linear velocity, α is nip angle, hrFor intermediate base inlet thickness, hcFor intermediate base exit thickness, D is that working roll is straight
Diameter;
S52, before intermediate base does not sting steel, the pre- pendulum roll gap leveling of both sides hydraulic cylinder is directly Δ S1, work as LHReach waypointBeforeWhen, i.e.,When, in time TgdInterior roll gap leveling is directly by Δ SjIt adjusts to Δ Sj+1, wherein, j=1 ...
N-1, (n+1) be waypoint number, LgdFor the excessive segment length of intermediate base, LgdFor 500mm, TgdFor intermediate base changeover portion adjustment time,ShFor rear sliding value, vwFor roll rotation linear velocity, α is nip angle,hrFor
Intermediate base inlet thickness, hcFor intermediate base exit thickness, D is work roll diameter.
The above-mentioned technical proposal of the present invention has the beneficial effect that:
In said program, segment processing has been carried out to intermediate base, total roll gap leveling value is determined respectively, and pass through to different sections
Tracking to intermediate base position forms the pressure inclination control strategy of the segmentation to intermediate base overall length camber, therefore the present embodiment
The camber Discrete control method based on hot-rolled intermediate billet flat shape is not only applicable to the control of " C-shaped " camber,
It also is able to the complicated camber to single roll gap adjustment amount out of contior " S-shaped " etc. to be effectively controlled, so as to fulfill heat
The On-line Control of breakdown bar camber is rolled, and milling train two is not only allowed in every section of total roll gap leveling value that control uses in the process
Influence that side poor rigidity, intermediate base wander off in roll gap, the situation for also contemplating the already existing camber of a time, also
It is to say, during control, the camber of this passage can not only be controlled, additionally it is possible to the already existing reaping hook of a time in elimination
Sinus is fallen into, thus with higher control accuracy.
Description of the drawings
Fig. 1 is the stream of the camber Discrete control method provided in an embodiment of the present invention based on hot-rolled intermediate billet flat shape
Journey schematic diagram;
Fig. 2 is the detailed of the camber Discrete control method provided in an embodiment of the present invention based on hot-rolled intermediate billet flat shape
Thin flow diagram;
Fig. 3 is the intermediate base top surface plane schematic shapes that flat shape instrument provided in an embodiment of the present invention obtains;
Fig. 4 is intermediate base width direction center line schematic diagram provided in an embodiment of the present invention;
Fig. 5 is intermediate base width direction center line segments point schematic diagram provided in an embodiment of the present invention;
Fig. 6 is intermediate base fore side provided in an embodiment of the present invention, transmission side waypoint schematic diagram.
Specific embodiment
To make the technical problem to be solved in the present invention, technical solution and advantage clearer, below in conjunction with attached drawing and tool
Body embodiment is described in detail.
Embodiment one
As shown in Figure 1, the camber Discrete control side provided in an embodiment of the present invention based on hot-rolled intermediate billet flat shape
Method, including:
S1 obtains intermediate base upper surface fore side edge point coordinates and transmission side edge point coordinates;
S2 according to the fore side edge point coordinates of acquisition and transmission side edge point coordinates, determines that the intermediate base is wide
Spend direction center line point coordinates;
S3 carries out curve fitting to the intermediate base width direction centerline points coordinate, obtains the intermediate base width side
It is intermediate according to the waypoint coordinate pair of the intermediate base width direction center line of acquisition to the segmentation point coordinates of center line
Base length direction is segmented;
S4 calculates the fore side edge contour length of base, transmission side edge contour length among every section and walks deviator, and obtain
The milling train both sides poor rigidity of every section of intermediate base is taken, according to the fore side edge contour length of every section be calculated intermediate base, is passed
Dynamic lateral edges profile length and the milling train both sides poor rigidity of every section of intermediate base for walking deviator and acquisition, determine base among every section
Total roll gap leveling value;
S5, tracks the position of intermediate base described in the operation of rolling, and combines total roll gap leveling of the intermediate base of every section asked for
Value generates the pressure inclination control strategy of the segmentation to the intermediate base overall length camber.
The camber Discrete control method based on hot-rolled intermediate billet flat shape described in the embodiment of the present invention, to intermediate base
Segment processing has been carried out, different sections have been determined with total roll gap leveling value respectively, and by the tracking to intermediate base position, form centering
Between base overall length camber segmentation pressure inclination control strategy, therefore described in the present embodiment based on hot-rolled intermediate billet flat shape
Camber Discrete control method be not only applicable to the control of " C-shaped " camber, additionally it is possible to cannot to single roll gap adjustment amount
The complicated camber such as " S-shaped " of control is effectively controlled, so as to fulfill the On-line Control of hot-rolled intermediate billet camber, and
Every section of total roll gap leveling value using in the process is controlled to not only allow for milling train both sides poor rigidity, it is also contemplated that intermediate base is in roll gap
The influence inside to wander off, thus with higher control accuracy.
As shown in Fig. 2, the camber Discrete control side based on hot-rolled intermediate billet flat shape described in the embodiment of the present invention
Method specifically may comprise steps of:
Step A1 obtains the intermediate base upper surface fore side edge point coordinates (x in milling train outlet by flat shape instrumento,yo)、
Transmission side edge point coordinates (xd,yd), wherein, xo,yo,xd,ydUnit is mm;
In the present embodiment, it is illustrated in figure 3 the planar shaped of the intermediate base upper surface in milling train outlet of flat shape instrument acquisition
Shape, wherein, L1 is operation lateral edges, and L2 is transmission lateral edges.
The present embodiment obtains the intermediate base upper surface fore side edge point coordinates in milling train outlet and transmission by flat shape instrument
Lateral edges point coordinates, compared with control program of the intermediate base center line for known conditions is obtained by width gage in the prior art,
The present embodiment can more accurately reappear the bending situation of intermediate base.
Step A2, according to the fore side edge point coordinates (x of acquisitiono,yo) and transmission side edge point coordinates (xd,yd),
Calculate intermediate base width direction centerline points coordinate (xm,ym), wherein, xm,ymUnit is mm;
Step A3, to intermediate base width direction centerline points coordinate (xm,ym) carry out curve fitting, for example, quintic curve is intended
It closes, by carrying out secondary derivation to matched curve, obtains intermediate base width direction center line segments point coordinatesAnd
Intermediate base length direction is segmented according to the waypoint coordinate pair of the intermediate base width direction center line of acquisition,
In,Unit is mm, and (n+1) is waypoint number, and j is number-of-fragments, j=0,1 ... n;
Step A4 calculates intermediate base jth section fore side and transmission side edge contour lengthUnit mm, wherein, (n+
1) it is waypoint number, j=1 ... n;
Step A5 calculates the roll gap leveling value for correcting intermediate base jth section camberUnit is mm, wherein, (n+1) is
Waypoint number, j=1 ... n;
Step A6 is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influenceUnit is mm, wherein, (n+1)
For waypoint number, j=1 ... n;
Step A7 is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influencesUnit mm,
In, (n+1) be waypoint number, j=1 ... n;
Step A8 calculates the total roll gap leveling value of intermediate base jth sectionWherein, Δ SjUnit mm,
(n+1) it is waypoint number, j=1 ... n;
Step A9, tracks the position of intermediate base described in the operation of rolling, and combines total roll gap of the intermediate base of every section asked for
Leveling value generates the pressure inclination control strategy of the segmentation to the intermediate base overall length camber.
In the present embodiment, then to the fore side edge point coordinates (x according to acquisitiono,yo) and transmission lateral edges
Point coordinates (xd,yd), calculate intermediate base width direction centerline points coordinate (xm,ym) (step A2) be described in detail, the step
Rapid A2 specifically may comprise steps of:
Step A2-a, according to intermediate base fore side edge point coordinates (xo,yo), it is long to calculate intermediate base fore side edge contour
Spend Lo:
Wherein, LoFor intermediate base fore side edge contour length, unit mm, Δ Lo(i) it is intermediate base fore side edge contour
I-th segment unit length, unit mm, m are intermediate base fore side edge contour coordinate points number, xo(i) and yo(i) it is respectively intermediate
Base operates the abscissa, ordinate of i-th of coordinate points of lateral edges, unit mm;
Step A2-b finds (p+1) a index point (x on intermediate base fore side edge contourob,yob), make each mark
Profile between point is apart from equal:
Wherein,For the profile length between i-th of index point and (i+1) a index point,
Unit mm, LoFor intermediate base fore side edge contour length, unit mm, xob(i) and yob(i) it is respectively to operate lateral edges i-th
Abscissa, the ordinate of index point, unit mm, (p+1) be index point number, xo(i) and yo(i) it is respectively operation lateral edges i-th
Abscissa, the ordinate of a coordinate points, unit mm, m are intermediate base fore side edge contour coordinate points number;
Step A2-c, according to intermediate base transmission side edge point coordinates (xd,yd), step A2-a to A2-b is repeated, in intermediate base
(p+1) a index point (x is determined on transmission side edge contourdb,ydb);
Step A2-d, according to index point (x on intermediate base fore side edge contourob,yob) and transmission side edge contour subscript
Will point (xdb,ydb), calculate intermediate base width direction centerline points coordinate (xm,ym):
Wherein, xm(i),ym(i) abscissa, ordinate of respectively intermediate base width direction i-th of coordinate points of center line,
Unit mm, i=1,2 ..., p, p+1;(p+1) it is index point number.
In this embodiment, it is computed, operation side length Lo=27046.30mm, transmission side length Ld=26927.42mm, p
99 are taken, totally 100 index points, fore side index point is " o " point on L3 line segments in Fig. 4, and transmission side index point is L4 lines in Fig. 4
" o " point in section, the intermediate base width direction center line index point of calculating is " * " point on L5 line segments in Fig. 4.
In the present embodiment, then to described to intermediate base width direction centerline points coordinate (xm,ym) carry out curve fitting,
For example, quintic curve is fitted, by carrying out secondary derivation to matched curve, obtains intermediate base width direction center line segments point and sit
MarkAnd the intermediate base length according to the waypoint coordinate pair of the intermediate base width direction center line of acquisition
Direction is segmented (step A3) and is described in detail, and the step A3 specifically may comprise steps of:
Step A3-a, to intermediate base width direction centerline points coordinate (xm,ym) quintic curve fitting is carried out, it is fitted
Curve representation formula:
Wherein, a5,a4,a3,a2,a1,a0For fitting coefficient, no unit;
Step A3-b carries out secondary derivation to matched curve:
Step A3-c solves f " (xmThe Real Number Roots x of)=0mg, and meet f " (xmg+δ)×f″(xmg-δ)<During 0 condition, note
Record temporary subsection pointWhereinRespectively temporary subsection point abscissa, vertical seat
Mark, the small constant of unit mm, δ for length direction, unit mm;
Step A3-d, determines waypoint:
When there is no during temporary subsection point, intermediate base is segmented point coordinates without segmentation:
Unit mm,
When only existing 1 temporary subsection point, intermediate base is divided into 2 sections, is segmented point coordinates:
Unit mm,
When there are during 2 temporary subsection points, (assuming that) intermediate base is divided into 3 sections, it is segmented point coordinates:
Unit mm,
When there are during 3 temporary subsection points (assuming that), intermediate base is divided into 4 sections, is segmented point coordinates:
Unit mm;
Wherein, xm(i),ym(i) it is respectively intermediate base width direction center line i-th coordinate points abscissa, ordinate, it is single
Position mm, i=1,2 ..., p, p+1, (p+1) are index point number.
In this embodiment, quintic curve fitting is carried out to intermediate base width direction centerline points coordinate, obtains matched curve
Expression formula:
Wherein, a5,a4,a3,a2,a1,a0Respectively 8.3942E-19, -6.5933E-14,1.6684E-09, -1.3040E-
05, -1.5148E-02,1.3244E+03;
Solve f " (xmThe Real Number Roots x of)=0mgRespectively 3503.12mm, 16125.63mm, 27498.97mm, the present embodiment
Middle δ=1mm, three Real Number Roots are satisfied by f " (xmg+δ)×f″(xmg-δ)<0, so share 5 waypoints, as in Fig. 5 on L6
Shown in " o " point, respectively:
In the present embodiment, then to base jth section fore side among the calculating and transmission side edge contour length
(step A4) is described in detail, and the step A4 specifically may comprise steps of:
Step A4-a, excessively intermediate base width direction center line segments pointNormal equation be:
Wherein,For intermediate base width direction center line segments point abscissa, ordinate, unit mm, xj,yjFor
Passing pointIntermediate base width direction center line normal on abscissa, the ordinate put, unit mm,For
Intermediate 5 matched curve y of base width direction center linem=f (xm) pointLocate a derivation as a result, without unit, j
=1,2 ..., n-1;(n+1) it is waypoint number;
Step A4-b, fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance be:
Wherein,For fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance, unit mm,For
Intermediate base width direction center line segments point abscissa, ordinate, unit mm,For intermediate base width direction center
5 matched curve y of linem=f (xm) pointLocate a derivation as a result, without unit, j=1,2 ..., n-1, (n+1)
For waypoint number;
Search for all fore side edges point coordinates so thatMinimum point is recorded as fore side edge segments pointUnit mm, j=1,2 ..., n-1, (n+1) is waypoint number,
In addition:
Wherein, (n+1) be waypoint number, xo(i) and yo(i) it is respectively intermediate base operation i-th of coordinate points of lateral edges
Abscissa, ordinate, unit mm, m are intermediate base fore side edge contour coordinate points number;
Step A4-c calculates intermediate base jth section fore side edge contour length
Wherein,For intermediate base jth section fore side edge contour length, unit mm,It is operated for intermediate base jth section
Lateral edges profile the i-th segment unit length, unit mm, xo(i) and yo(i) respectively it is driven the horizontal seat of i-th of coordinate points of lateral edges
Mark, ordinate, unit mm, and i satisfactions make point (xo(i),yo(i)) in pointBetween, j=1 ...
N, (n+1) are waypoint number;
Step A4-d, using transmission side edge point coordinates (xd,yd), step A4-b to step A4-c is repeated, calculates intermediate base
Jth section transmission side edge contour lengthUnit mm.
In this embodiment, as shown in fig. 6, the waypoint that upper 5 " o " points of L10 are determined for step A3, L7, L8, L9 are respectively
The center line normal of the 2nd, 3,4 center line segments points is crossed, therefore, L11 upper 5 " o " is put as fore side waypoint, upper 5 of L12
" o " point is transmission side waypoint, and coordinate is as shown in table 1:
1 transmission side of table, fore side segmentation point coordinates
It is as shown in table 2 to be computed fore side, transmission side segmentation profile length:
2 transmission side of table, fore side segmentation profile length
In the present embodiment, then to the roll gap leveling value for calculating the intermediate base jth section camber of correction(step A5)
It is described in detail, the step A5 specifically may comprise steps of:
Step A5-a under conditions of not considering that strip spreads, according to constancy of volume principle, can obtain intermediate base jth section behaviour
Make the poor Δ h of thickness of side and transmission sidej:
Wherein, Δ hjFor intermediate base jth section fore side and poor, the unit mm of thickness of transmission side,Respectively intermediate base the
The thickness of j sections of fore sides and transmission side, unit mm, h are the average thickness of intermediate base centerline overall length, and thickness measuring is exported by milling train
Instrument is measured and is provided, and unit mm, j=1 ... n, (n+1) is waypoint number;
Step A5-b calculates the deviator that is averaged away of intermediate base jth section
Wherein,For the deviator that is averaged away of intermediate base jth section, unit mm, YGFor roller-way center line ordinate, unit mm,
ymTo meet on corresponding intermediate base width direction center linePoint ordinate value, unit mm, r to meet on
The number put on the intermediate base width direction center line of condition, j=1 ... n are stated, (n+1) is waypoint number;
Step A5-c calculates the fore side roll gap adjustment value for correcting intermediate base jth section camber
Wherein,To correct the fore side roll gap adjustment value of intermediate base jth section camber, unit mm, Q are moulded for intermediate base
Property deformation coefficient, unit kN/mm, L are the distance of roll both sides hydraulic cylinder force point, and unit mm, K are milling train longitudinal rigidity, single
Position kN/mm, B be intermediate base width, unit mm, Δ hjFor intermediate base jth section fore side and poor, the unit mm of thickness of transmission side,
For the deviator that is averaged away of intermediate base jth section, unit mm, j=1 ... n, (n+1) is waypoint number;
Step A5-d similarly calculates the transmission side roll gap adjustment value for correcting intermediate base jth section camber
Wherein,To correct the transmission side roll gap adjustment value of intermediate base jth section camber, unit mm, Q are moulded for intermediate base
Property deformation coefficient, unit kN/mm, L are the distance of roll both sides hydraulic cylinder force point, and unit mm, K are milling train longitudinal rigidity, single
Position kN/mm, B be intermediate base width, unit mm, Δ hjFor intermediate base jth section fore side and poor, the unit mm of thickness of transmission side,
For the deviator that is averaged away of intermediate base jth section, unit mm, j=1 ... n, (n+1) is waypoint number;
Step A5-e calculates the roll gap leveling value for correcting intermediate base jth section camber
Wherein,To correct the roll gap leveling value of intermediate base jth section camber, unit mm,To correct intermediate base the
The transmission side roll gap adjustment value of j sections of cambers, unit mm,To correct the fore side roll gap tune of intermediate base jth section camber
Section value, unit mm.
In this embodiment, the total roll gap leveling value of intermediate base jth section used in the process in control not only allows for intermediate base
Influence that jth section milling train both sides poor rigidity, intermediate base wander off in roll gap, the roll gap for also contemplating intermediate base jth section camber
Leveling value is related to the situation that a time has existed camber, in this way, during control, can not only control this passage
Camber, additionally it is possible to the already existing camber defect of a time in elimination.In this embodiment, M3A33 steel grades, width are chosen
B=800mm rolls the measurement result after the 4th passage, at this time belt steel thickness h=69mm, roller-way center line ordinate YG=
1155.67mm, the distance L=1800mm, K of roll both sides hydraulic cylinder force point are for milling train longitudinal rigidity K=6810kN/mm, Q
Intermediate base is plastically deformed coefficient Q=680.10kN/mm, is computedAs shown in table 3:
Table 3 corrects the roll gap leveling value of breakdown bar camber
In the present embodiment, with being adjusted in real time to both sides volume seam by detecting this passage of milling train both sides rolling force deviation
The scheme of control camber is compared, the camber Discrete control method based on hot-rolled intermediate billet flat shape described in the present embodiment
It is not only able to control the camber of this passage, additionally it is possible to the already existing camber defect of a time (or supplied materials) in elimination.
In the present embodiment, the roll gap leveling value for the influence that then wanders off on the intermediate base jth section of calculating correction(step
A6 it) is described in detail, the step A6 specifically may comprise steps of:
Step A6-a is calculated and is corrected intermediate base jth section and wander off the fore side roll gap adjustment value of influence
Wherein,It wanders off the fore side roll gap adjustment value of influence to correct intermediate base jth section, unit mm, L are roll two
The distance of side hydraulic cylinder force point, unit mm, K are milling train longitudinal rigidity, unit kN/mm, Δ PjFor intermediate base jth section roll two
Side rolls force difference, and unit kN, P calculate roll-force for intermediate base, unit kN,It is single for the deviator that is averaged away of intermediate base jth section
Position mm, j=1 ... n, (n+1) are waypoint number;
Step A6-b is calculated and is corrected intermediate base jth section and wander off the transmission side roll gap adjustment value of influence
Wherein,It wanders off the transmission side roll gap adjustment value of influence to correct intermediate base jth section, unit mm, L are roll two
The distance of side hydraulic cylinder force point, unit mm, K are milling train longitudinal rigidity, unit kN/mm, Δ PjFor intermediate base jth section roll two
Side rolls force difference, and unit kN, P calculate roll-force for intermediate base, unit kN,It is single for the deviator that is averaged away of intermediate base jth section
Position mm, j=1 ... n, (n+1) are waypoint number;
Step A6-c is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influence
Wherein,Wander off the roll gap leveling value of influence for middle base jth section, unit mm,To correct intermediate base
Jth section wanders off the fore side roll gap adjustment value of influence, unit mm,It wanders off the transmission side roller of influence to correct intermediate base jth section
Regulated value is stitched, unit mm, j=1 ... n, (n+1) is waypoint number.In this embodiment, M3A33 steel grades, width B=are chosen
800mm, the 5th passage of rolling will be rolled down to 48.82mm by thickness 69mm, and base calculates roll-force P=among lower a time
22003kN is computed As shown in table 4:
Table 4 corrects intermediate base and wanders off the roll gap leveling value of influence
In the present embodiment, then the roll gap leveling corrected intermediate base jth section milling train both sides poor rigidity and influenced is calculated on described
Value(step A7) is described in detail, and the step A7 specifically may comprise steps of:
Step A7-a is calculated and is corrected the fore side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The fore side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, unit
Mm, K be milling train longitudinal rigidity, unit kN/mm, KoFor milling train fore side rigidity, unit kN/mm, Δ PjIt is rolled for intermediate base jth section
Roller both sides roll force difference, and unit kN, P calculate roll-force, unit kN, P for intermediate base0For the roll-force that returns to zero, unit kN, j=
1 ... n, (n+1) are waypoint number;
Step A7-b is calculated and is corrected the transmission side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The transmission side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, unit mm,
K be milling train longitudinal rigidity, unit kN/mm, KdFor mill drive side rigidity, unit kN/mm, Δ PjFor intermediate base jth section roll two
Side rolls force difference, and unit kN, P calculate roll-force, unit kN, P for intermediate base0For return to zero roll-force, unit kN, j=1 ... n,
(n+1) it is waypoint number;
Step A7-c is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influences
Wherein,The roll gap leveling value influenced to correct intermediate base jth section milling train both sides poor rigidity, unit mm,For
The fore side roll gap adjustment value that base jth section milling train both sides poor rigidity influences among correcting, unit mm,To correct intermediate base the
The transmission side roll gap adjustment value that j sections of milling train both sides poor rigidities influence, unit mm, j=1 ... n, (n+1) is waypoint number.
In this embodiment, intermediate base meter zeroing roll-force P0=1100.15kN, milling train fore side stiffness Ko=
3541.20kN/mm mill drive side stiffness Kd=3268.80kN/mm, is computedAs shown in table 5:
Table 5 corrects the roll gap leveling value of intermediate base both sides poor rigidity
In the present embodiment, then to the total roll gap leveling value of base jth section among the calculating(step
Rapid A8) it is described in detail, the step A8 specifically may comprise steps of:
Calculate the total leveling value of intermediate base jth sectionWherein, Δ SjUnit mm, (n+1) are segmentation
Point number, j=1 ... n, in this embodiment, Δ SjThe results are shown in Table 6:
The 6 total roll gap leveling value of intermediate base jth section of table
First segment | Second segment | Third section | 4th section | |
ΔSj/mm | 1.19 | 0.59 | -0.06 | -1.71 |
In the present embodiment, the intermediate total roll gap leveling value of base jth section not only allows for milling train both sides poor rigidity, above one
Situations such as secondary (supplied materials) already existing camber, it is also contemplated that intermediate base wanders off in roll gap caused by being bent due to intermediate base
Influence, thus with higher control accuracy.In the present embodiment, then to intermediate base described in the tracking operation of rolling
Position, and total roll gap leveling value of the intermediate base of every section asked for is combined, generate the segmentation pressure to the intermediate base overall length camber
Lower inclination control strategy (step A9) is described in detail, and the step A9 specifically may comprise steps of:
Step A9-a during rolling, tracks the position that intermediate base enters milling train:
Wherein, LHFor the intermediate base length rolled, unit mm, t are the time, and T is to start the time after rolling, unit
S, ShFor rear sliding value, no unit, vwFor roll rotation linear velocity, unit mm/s, α are nip angle, unit rad, hrEnter for intermediate base
Mouth thickness, unit mm, hcFor intermediate base exit thickness, unit mm, D are work roll diameter, unit mm;
Step A9-b generates the pressure of the segmentation to intermediate base overall length camber inclination control strategy (or for pressure
Inclination control strategy):Before intermediate base does not sting steel, the pre- pendulum roll gap poor (roll gap leveling is straight) of both sides hydraulic cylinder is Δ S1, when
Tracing positional LHReach waypointBeforeWhen, i.e.,When, in time TgdInterior roll gap leveling is directly by Δ SjAdjustment
To Δ Sj+1, j=1 ... n-1, (n+1) be waypoint number, LgdFor the excessive segment length of intermediate base, LgdFor 500mm, TgdFor centre
Base changeover portion adjustment time,Unit s, ShFor rear sliding value, no unit, vwFor roll rotation linear velocity,
Unit mm/s, α are nip angle,Unit rad, hrFor intermediate base inlet thickness, unit mm, hcFor centre
Base exit thickness, unit mm, D are work roll diameter, unit mm.
In the present embodiment, waypoint corresponds to LHAs shown in table 7:
The total leveling value of 7 intermediate base of table
0th waypoint | 1st waypoint | 2nd waypoint | 3rd waypoint | 4th waypoint | |
LH/mm | 0 | 1352.99 | 13901.50 | 25335.87 | 26716.63 |
In the present embodiment, segment processing has been carried out to intermediate base, total roll gap leveling value is determined respectively, and pass through to different sections
Tracking to intermediate base position forms the pressure inclination control strategy of the segmentation to intermediate base overall length camber, and algorithm robustness is strong,
Calculation amount is small, and calculating speed is fast, suitable for the On-line Control of hot-rolled intermediate billet camber, therefore described in the present embodiment based on heat
The camber Discrete control method for rolling intermediate base flat shape is not only applicable to the control of " C-shaped " camber, additionally it is possible to single
The complicated camber such as roll gap adjustment amount out of contior " S-shaped " controlled, and the intermediate base jth used in the process in control
Situations such as total roll gap leveling value of section not only allows for milling train both sides poor rigidity, upper a time (supplied materials) already existing camber,
The influence that intermediate base caused by being bent due to intermediate base is wandered off in roll gap is also contemplated, is not only able to control the reaping hook of this passage
It is curved, additionally it is possible to the already existing camber defect of a time (or supplied materials) in elimination, thus with higher control accuracy.
The above is the preferred embodiment of the present invention, it is noted that for those skilled in the art
For, without departing from the principles of the present invention, several improvements and modifications can also be made, these improvements and modifications
It should be regarded as protection scope of the present invention.
Claims (10)
- A kind of 1. camber Discrete control method based on hot-rolled intermediate billet flat shape, which is characterized in that including:S1 obtains intermediate base upper surface fore side edge point coordinates and transmission side edge point coordinates;S2 according to the fore side edge point coordinates of acquisition and transmission side edge point coordinates, determines the intermediate base width side To centerline points coordinate;S3 carries out curve fitting to the intermediate base width direction centerline points coordinate, obtains in the intermediate base width direction The segmentation point coordinates of heart line, intermediate base is long according to the waypoint coordinate pair of the intermediate base width direction center line of acquisition Degree direction is segmented;S4 calculates the fore side edge contour length of base, transmission side edge contour length among every section and walks deviator, and obtains every The milling train both sides poor rigidity of the intermediate base of section, according to the fore side edge contour length of every section be calculated intermediate base, transmission side Edge contour length and the milling train both sides poor rigidity of every section of intermediate base for walking deviator and acquisition, determine total roller of every section of intermediate base Stitch leveling value;S5, tracks the position of intermediate base described in the operation of rolling, and combines total roll gap leveling value of the intermediate base of every section asked for, raw The segmentation pressure inclination control strategy of the pairs of intermediate base overall length camber.
- 2. the camber Discrete control method according to claim 1 based on hot-rolled intermediate billet flat shape, feature exist In the S1 includes:The intermediate base upper surface fore side edge point coordinates (x in milling train outlet is obtained by flat shape instrumento,yo) and transmission lateral edges Point coordinates (xd,yd)。
- 3. the camber Discrete control method according to claim 2 based on hot-rolled intermediate billet flat shape, feature exist In the S2 includes:S21, according to the fore side edge point coordinates (x of acquisitiono,yo) calculate the intermediate base fore side edge contour length Lo:Wherein, LoFor intermediate base fore side edge contour length, △ Lo(i) it is long for the i-th segment unit of intermediate base fore side edge contour Degree, m be intermediate base fore side edge contour coordinate points number, xo(i) and yo(i) it is respectively that intermediate base operation lateral edges are sat for i-th Abscissa, the ordinate of punctuate;S22 finds (p+1) a index point (x on the intermediate base fore side edge contourob,yob), make between each index point Profile apart from equal:Wherein,For the profile length between i-th of index point and (i+1) a index point, LoFor in Between base fore side edge contour length, xob(i) and yob(i) it is respectively the abscissa of operation i-th of index point of lateral edges, vertical seat Mark, (p+1) be index point number, xo(i) and yo(i) abscissa, ordinate of i-th of coordinate points of lateral edges, m are respectively operated For intermediate base fore side edge contour coordinate points number;S23, according to the intermediate base transmission side edge point coordinates (xd,yd), S21 to S22 is repeated, in the intermediate base transmission side (p+1) a index point (x is determined on edge contourdb,ydb);S24, according to index point (x on the intermediate base fore side edge contourob,yob) and transmission side edge contour on index point (xdb,ydb), calculate the intermediate base width direction centerline points coordinate (xm,ym):Wherein, xm(i),ym(i) respectively intermediate base width direction center line i-th coordinate points abscissa, ordinate, i=1, 2,…,p,p+1;(p+1) it is index point number.
- 4. the camber Discrete control method according to claim 3 based on hot-rolled intermediate billet flat shape, feature exist In the S3 includes:S31, to the intermediate base width direction centerline points coordinate (xm,ym) quintic curve fitting is carried out, obtain matched curve table Up to formula:Wherein, a5,a4,a3,a2,a1,a0For fitting coefficient;S32, to matched curve ym=f (xm) secondary derivation is carried out, obtain expression formula:S33 solves f " (xmThe Real Number Roots x of)=0mg, and meet f " (xmg+δ)×f″(xmg-δ)<During 0 condition, temporary subsection is recorded PointWherein,Respectively temporary subsection point abscissa, ordinate, δ are length The small constant in direction;S34 determines waypoint:When there is no during temporary subsection point, without being segmented, waypoint coordinate representation is the intermediate base:When only existing 1 temporary subsection point, the intermediate base is divided into 2 sections, and waypoint coordinate representation is:When there are during 2 temporary subsection points, it is assumed thatThe intermediate base is divided into 3 sections, and waypoint coordinate representation is:When there are during 3 temporary subsection points, it is assumed thatThe intermediate base is divided into 4 sections, waypoint coordinates table It is shown as:Wherein, xm(i),ym(i) respectively intermediate base width direction center line i-th coordinate points abscissa, ordinate, i=1, 2 ..., p, p+1, (p+1) are index point number.
- 5. the camber Discrete control method according to claim 4 based on hot-rolled intermediate billet flat shape, feature exist In the S4 includes:S41 calculates the intermediate base jth section fore side edge contour lengthWith jth section transmission side edge contour lengthIts In, j=1 ... n, (n+1) is waypoint number;S42, according to the intermediate base jth section fore side edge contour length being calculatedWith jth section transmission side edge contour LengthCalculate the roll gap leveling value for correcting intermediate base jth section camberWherein, (n+1) be waypoint number, j= 1,…n;S43 is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influenceWherein, (n+1) be waypoint number, j= 1,…n;S44 is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influencesWherein, (n+1) is segmentation Point number, j=1 ... n;S45 calculates the total roll gap leveling value of intermediate base jth sectionWherein, (n+1) be waypoint number, j =1 ... n.
- 6. the camber Discrete control method according to claim 5 based on hot-rolled intermediate billet flat shape, feature exist In the S41 includes:S411 determined the intermediate base width direction center line segments pointNormal equation be:Wherein,For intermediate base width direction center line segments point abscissa, ordinate, xj,yjFor passing point Intermediate base width direction center line normal on abscissa, the ordinate put,For intermediate base width direction center line 5 Secondary matched curve ym=f (xm) pointLocate a derivation as a result, j=1,2 ..., n-1, (n+1) is waypoint Number;S412 determines fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance be:Wherein,For the fore side edge point coordinates (xo,yo) to normal yj=gj(xj) distance,For intermediate base Width direction center line segments point abscissa, ordinate,For intermediate 5 matched curve y of base width direction center linem= f(xm) pointLocate a derivation as a result, j=1,2 ..., n-1, (n+1) is waypoint number;Search for all fore side edges point coordinates so thatMinimum fore side marginal point coordinate record is fore side edge segments PointJ=1,2 ..., n-1, (n+1) are waypoint number;Wherein,(n+1) it is waypoint number, xo(i) and yo(i) it is respectively intermediate base operation The abscissa, ordinate of i-th of coordinate points of lateral edges, m are intermediate base fore side edge contour coordinate points number;S413 calculates intermediate base jth section fore side edge contour lengthWherein,For intermediate base jth section fore side edge contour length,For intermediate base jth section fore side edge contour I segment unit length, xo(i) and yo(i) abscissa, ordinate of i-th of coordinate points of lateral edges are respectively driven, and i satisfactions make a little (xo(i),yo(i)) in pointBetween, j=1 ... n, (n+1) is waypoint number;S414, using transmission side edge point coordinates (xd,yd), S412 to S413 is repeated, calculates intermediate base jth section transmission lateral edges Profile length
- 7. the camber Discrete control method according to claim 6 based on hot-rolled intermediate billet flat shape, feature exist In the S42 includes:S421, according to the intermediate base jth section fore side edge contour length being calculatedWith jth section transmission side edge wheel Wide lengthDetermine the thickness difference △ h of the intermediate base jth section fore side and transmission sidej:Wherein, △ hjThickness for intermediate base jth section fore side and transmission side is poor,Respectively intermediate base jth section fore side with The thickness of transmission side, h are the average thickness of intermediate base centerline overall length, and j=1 ... n, (n+1) is waypoint number;S422 calculates the deviator that is averaged away of intermediate base jth sectionWherein,For the deviator that is averaged away of intermediate base jth section, YGFor roller-way center line ordinate, ymFor corresponding intermediate base width Meet in direction center linePoint ordinate value, r for meetIntermediate base width side The number put on center line, j=1 ... n, (n+1) are waypoint number;S423 calculates the fore side roll gap adjustment value for correcting intermediate base jth section camberWherein,To correct the fore side roll gap adjustment value of intermediate base jth section camber, Q is plastically deformed coefficient, L for intermediate base For the distance of roll both sides hydraulic cylinder force point, K is milling train longitudinal rigidity, and B is intermediate base width, △ hjFor intermediate base jth section The thickness of fore side and transmission side is poor,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;S424 calculates the transmission side roll gap adjustment value for correcting intermediate base jth section camberWherein,To correct the transmission side roll gap adjustment value of intermediate base jth section camber, Q is plastically deformed coefficient, L for intermediate base For the distance of roll both sides hydraulic cylinder force point, K is milling train longitudinal rigidity, and B is intermediate base width, △ hjFor intermediate base jth section The thickness of fore side and transmission side is poor,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;S425 calculates the roll gap leveling value for correcting intermediate base jth section camberWherein,To correct the roll gap leveling value of intermediate base jth section camber,To correct intermediate base jth section camber Transmission side roll gap adjustment value,To correct the fore side roll gap adjustment value of intermediate base jth section camber.
- 8. the camber Discrete control method according to claim 5 based on hot-rolled intermediate billet flat shape, feature exist In the S43 includes:S431 is calculated and is corrected intermediate base jth section and wander off the fore side roll gap adjustment value of influenceWherein,It wanders off the fore side roll gap adjustment value of influence to correct intermediate base jth section, L is roll both sides hydraulic cylinder force Point distance, K be milling train longitudinal rigidity, △ PjForce difference is rolled for intermediate base jth section roll both sides, P calculates rolling for intermediate base Power,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;S432 is calculated and is corrected intermediate base jth section and wander off the transmission side roll gap adjustment value of influenceWherein,It wanders off the transmission side roll gap adjustment value of influence to correct intermediate base jth section, L is roll both sides hydraulic cylinder force Point distance, K be milling train longitudinal rigidity, △ PjForce difference is rolled for intermediate base jth section roll both sides, P calculates rolling for intermediate base Power,For the deviator that is averaged away of intermediate base jth section, j=1 ... n, (n+1) is waypoint number;S433 is calculated and is corrected intermediate base jth section and wander off the roll gap leveling value of influenceWherein,Wander off the roll gap leveling value of influence for middle base jth section,It wanders off influence to correct intermediate base jth section Fore side roll gap adjustment value,It wanders off the transmission side roll gap adjustment value of influence to correct intermediate base jth section, j=1 ... n, (n + 1) it is waypoint number.
- 9. the camber Discrete control method according to claim 5 based on hot-rolled intermediate billet flat shape, feature exist In the S44 includes:S441 is calculated and is corrected the fore side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influencesWherein,The fore side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, K are milling train longitudinal direction Rigidity, KoFor milling train fore side rigidity, △ PjForce difference is rolled for intermediate base jth section roll both sides, P calculates roll-force for intermediate base, P0For the roll-force that returns to zero, j=1 ... n, (n+1) is waypoint number;S442 is calculated and is corrected the transmission side roll gap adjustment value that intermediate base jth section milling train both sides poor rigidity influencesWherein,The transmission side roll gap adjustment value influenced to correct intermediate base jth section milling train both sides poor rigidity, K are milling train longitudinal direction Rigidity, KdFor mill drive side rigidity, △ PjForce difference is rolled for intermediate base jth section roll both sides, P calculates roll-force for intermediate base, P0For the roll-force that returns to zero, j=1 ... n, (n+1) is waypoint number;S443 is calculated and is corrected the roll gap leveling value that intermediate base jth section milling train both sides poor rigidity influencesWherein,The roll gap leveling value influenced to correct intermediate base jth section milling train both sides poor rigidity,To correct intermediate base the The fore side roll gap adjustment value that j sections of milling train both sides poor rigidities influence,To correct intermediate base jth section milling train both sides poor rigidity shadow Loud transmission side roll gap adjustment value, j=1 ... n, (n+1) are waypoint number.
- 10. the camber Discrete control method according to claim 5 based on hot-rolled intermediate billet flat shape, feature exist In the S5 includes:S51 during rolling, tracks the position that intermediate base enters milling train:Wherein, LHFor the intermediate base length rolled, t is the time, and T is to start the time after rolling, ShFor rear sliding value, vwFor Roll rotation linear velocity, α are nip angle, hrFor intermediate base inlet thickness, hcFor intermediate base exit thickness, D is work roll diameter;S52, before intermediate base does not sting steel, the pre- pendulum roll gap leveling value of both sides hydraulic cylinder is △ S1, work as LHReach waypoint BeforeWhen, i.e.,When, in time TgdInterior roll gap leveling value is by △ SjIt adjusts to △ Sj+1, wherein, j=1 ... n- 1, (n+1) be waypoint number, LgdFor the excessive segment length of intermediate base, LgdFor 500mm, TgdFor intermediate base changeover portion adjustment time,ShFor rear sliding value, vwFor roll rotation linear velocity, α is nip angle,hrFor Intermediate base inlet thickness, hcFor intermediate base exit thickness, D is work roll diameter.
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CN112439793B (en) * | 2019-08-29 | 2023-03-17 | 宝山钢铁股份有限公司 | Camber control method based on analysis of deviation of center line of plate blank |
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