A kind of working roll and its roll contour design method for cold rolling Edge Drop Control
Technical field
Set the present invention relates to technical field of steel rolling, more particularly to a kind of working roll and its roller shape for cold rolling Edge Drop Control
Meter method.
Background technology
Cold rolling Edge Drop Control technology, is directed to silicon steel, a key technology of tinning substrate production.At present, cold rolling side drop
Control technology has many kinds, and wherein shape of working roll technology is wherein the most simple and effective control device, but with user couple
The raising that cold rolling same plate difference is required, the shape of working roll of current application or side drop ability of regulation and control have shown slightly not enough, or anti-sideslip energy
Power is weak, or grinding performance is poor, or there is stress concentration, still suffers from many deficiencies.The T-WRS technologies of Kawasaki Steel company use one
Working roll of the end with linear taper, antisymmetry is arranged on upper working rolls and lower working rolls, by axial float working roll come to strip
Side drop is controlled, but T-WRS shapes working roll is linear pattern, and taper is also linear pattern, in roll crossover position, there is stress collection
In problem.The Chinese patent of Publication No. CN101254508 discloses a kind of consideration to strip steel Edge Drop Control and flatness control
Working roll, be ground to continuous variable taper in the side of plain-barreled roll working roll, the taper is divided into 3 sections, Edge Drop Control section, tangent line work
Skill section and structure tapered section, are mainly used on 4-roller cold rolling mill, can the effectively control of opposite side drop, but it is cold rolling not to be suitable for six rollers
Machine, and the further raising required with side drop, side drop ability of regulation and control show slightly not enough.The China of Publication No. CN103949475
Patent discloses the working roll of a kind of consideration to strip steel Edge Drop Control and Crown control, body of roll total length be designed as Crown control section,
Edge Drop Control section and three sections of roller shapes of straightway, with preferable roller shape grinding performance, opposite side drop can effectively control, but mainly
Apply on four-high mill, and be circular curve due to participating in the roller shape section of Edge Drop Control, the curve roller shape slope more portion of keeping to the side is more
Greatly, therefore in strip running deviation roller system unbalance stress, the asymmetric situation of both sides Edge Drop Control are easily caused serious.Publication No.
The Chinese patent of CN201231246 discloses a kind of working roll for controlling band steel edge to drop, in the side grinding of plain-barreled roll working roll two
Place circular arc and conical curve are cut, tangent at circular arc and straight-line intersection, being mainly used on four-high mill can effectively control side to drop, but
The roller shape can cause that roller system unbalance stress, Edge Drop Control be asymmetric, rolling is unstable in strip running deviation, simultaneously because grinding machine grinds
Cutting working ability increases and reduces with roller shape slope, and the roller shape end section may cannot Precise Grinding on grinding machine.Publication number
For the Chinese patent of CN101367092 discloses a kind of Working roll technique of control edge drop of cold-rolled steel, shape of working roll total length sets
It is calculated as special high order curve, roller shape middle part is gentle, and two ends drop suddenly, the roller shape is can effectively control side to drop, but the roller shape is only applicable
In the milling train that working roll is unable to play, rolling width specification infrequently changes.The Chinese patent of Publication No. CN102335675 is public
A kind of working roll end rollers shape for improving edge drop control capability of cloth, it is bent using multinomial power function roller shape in work roll end
Line, improves working roll under certain shifting amount to the edge drop control capability of steel edge portion well, but the roller shape edge is in
Between section because the slope of curve change greatly, easily cause both sides edge drop control capability asymmetric in strip running deviation, and the roller shape due to
The big grinding performance of roller shape slope variation is bad.Document 1(UCMW milling train parabolic function list taper working roll Edge Drop Controls, 2009,
University of Science & Technology, Beijing's journal)With certain cold-rolled wide strip steel UCMW milling trains as research object, the drop control of conic section roller shape opposite side is have studied
The patent of the influence of system, the roller shape and Publication No. CN102335675 has that anti-sideslip difference and grinding performance be not good.
To sum up, the roller parameter that foregoing 5 Chinese patents and document 1 are introduced is all with the roller shape section of Edge Drop Control a kind of high
Secondary curve or sine curve, in the presence of participating in, EDC roll system shape section original position slope is smaller to cause side to drop regulating power not jointly
Foot, and roller shape is bigger closer to edge slope, steel edge portion regional stress value is relatively large during for producing, during strip running deviation more
Unilateral edge stress can be caused excessive, the possibility that broken belt occurs is larger.
The content of the invention
In order to solve the above problems, the present invention proposes a kind of working roll and its roll contour design for cold rolling Edge Drop Control
Method.
Shape of working roll provided by the present invention for cold rolling Edge Drop Control includes skew lines section, conic section section and level
Straightway, the two ends of the conic section section are tangent with skew lines section and horizontal linear section respectively, and the roller shape of the working roll is bent
Line equation is:
(1)
Wherein, in formulaL e It is the roller shape total length that unilateral end is collectively constituted by skew lines section and conic section section, mm;L s
It is conic section roller shape length, mm;L h It is working roll horizontal linear section roller shape length, mm;xIt is with conic section roller shape and level
Straightway roller shape points of tangency is the roll barrel length direction coordinate of origin, mm;y(x) it is straight with conic section roller shape and level
Line segment roller shape points of tangency is the roller radius roll shape curve coordinate of origin, μm;aBe conic section roller shape parameter, span for-
0.04 ~ -0.01, unit is 1.
The span of the roll shifting range of the working roll is 0 ~ 400mm.
Roll contour design method based on the working roll provided by the present invention for cold rolling Edge Drop Control is comprised the following steps:
Step 1:Strip minimum widith according to produced on-siteB min, strip Breadth MaximumB max, working roll roll shifting it is maximum
StrokeS maxWith working roll body of roll total lengthL w , obtain unilateral end skew lines section and conic section section roller shape total lengthL e Value
Interval is:
(2)
Wherein, in formulaB minIt is strip minimum widith,B maxIt is strip Breadth Maximum,S maxIt is the roll shifting maximum row of working roll
Journey,L w It is working roll body of roll total length;
Step 2:According to the roller shape total length that end one side end is collectively constituted by skew lines section and conic section sectionL e Really
Determine conic section roller shape lengthL s For:
(3)
Wherein, in formulakIt is coefficient, span is 0.1-0.3;
Step 3:Determine conic section roller shape parameteraValue, choosea 0As its initial value, i.e.,:
(4)
Wherein,a 0It is constant, span is -0.03 ~ -0.02;
Step 4:According to the conic section roller shape length for determiningL s With conic section roller shape parameteraValue determine conic section
Equation:
(5)
Step 5:Quadratic curve equation according to determining determines skew lines section roller shape:Skew lines section is tangent with conic section,
Conic section is existedPlace's derivation obtains skew lines slope over 10 and then determines that skew lines section roll shape curve equation is:
(6)
Step 6:According to working roll in addition to the roller shape that unilateral end is collectively constituted by skew lines section and conic section section, design
It is horizontal linear roller shape, roll shape curve equation is:
(7)
Step 7:The formula that step 4-6 is obtained(5), formula(6)And formula(7)3 sections of roll shape curve equations of description are closed
And the roll shape curve for obtaining the working roll for cold rolling Edge Drop Control is represented into piecewise function;
Step 8:Roll shape curve according to working roll obtains complete roller shape and carries out the side drop amount that commerical test is improvedd 0, compare the side drop amount of improvementd 0With the side drop amount for expecting to improved t, when the two deviation is less thand t10% when, then complete roller shape set
Meter, when the two deviation is more thand t10% when, obtain final conic section roller shape parameter according to interpolation methodaFor:
(8)
The a values that will be obtained are updated in step 4, recalculate roll shape curve equation.
Further, obtained in the step 1L e Value, to reduce grinding roller amount,L e Value value and circle near interval limit
It is whole.
Beneficial effect provided by the present invention for the working roll of cold rolling Edge Drop Control is:The working roll end rollers shape by
Conic section and skew lines are collectively constituted and participate in Edge Drop Control, and conic section section is shorter, but taper is larger, skew lines section compared with
It is long, it is more long relative to other EDC roll system shape curved sections or using skew lines long directly with horizontal linear section transition, this roller shape
Have the prominent advantages that:
1)Increase conic section taper increased Bian Jiangqu and drop ability of regulation and control near the side of medium position;
2)The length of conic section section is reduced so as to reduce transition point slope, the unilateral end of Edge Drop Control is participated in by oblique
Other pure curve roller shapes are lower more due to most border region roller shape slope ratio for the roller shape that straightway and conic section section are collectively constituted
Stabilization, the smaller possibility for reducing broken belt generation of the strip increased stress value of most border region that compensation side drop is caused, for example:Side
Drop statistical method is that then control targe is edge 15mm positions away from edge 115mm and 15mm positions thickness difference, and edge 15mm with
It is outer then be typically cut off and do not supply, then can reduce the Region control ability and be sent out so as to reduce the excessive broken belt for causing of tension
Raw probability;
3)Due to reducing transition point with the slope of external position, the roller shape is compared to other pure curve roller shapes in strip running deviation two
The asymmetric degree of side Edge Drop Control is smaller, reduces because of the excessive possibility that broken belt occurs of unilateral edge stress that sideslip causes
Property, i.e., with more preferable anti-sideslip ability;
4)The end rollers shape that the conic section of participation Edge Drop Control is combined with skew lines is smoothed with horizontal linear section roller shape
Cross, it is to avoid transition point stress concentration occurs and causes the flaky problem of roll, roll shape to have good self-preservation;
5)The roller shape is smoothly transitted into skew lines from horizontal linear by conic section, and curve segment length is smaller and curved section
Slope over 10 integral value is smaller, therefore roller shape is easier grinding, and surface is not easy knife flower occur.
Brief description of the drawings
Fig. 1 is that the working roll for cold rolling Edge Drop Control provided in an embodiment of the present invention and its roll contour design method are illustrated
Figure.
Fig. 2 is that the working roll for cold rolling Edge Drop Control provided in an embodiment of the present invention is illustrated along barrel length direction overall picture
Figure.
Fig. 3 is the shape of working roll curvilinear coordinate figure for cold rolling Edge Drop Control provided in an embodiment of the present invention, because of level
Straightway roller shape is long therefore does not draw, and only draws the roll shape curve coordinate that end is made up of skew lines and conic section.
Fig. 4 is the comparison schematic diagram of embodiment of the present invention roller shape and certain industry spot original roller shape, horizontal linear section roller shape phase
It is same not draw.
Specific embodiment
In order to understand the present invention in depth, below in conjunction with the accompanying drawings and specific embodiment the present invention is described in detail.
Shape of working roll provided by the present invention for cold Edge Drop Control includes that skew lines section, conic section section and level are straight
Line segment, conic section Duan Qi two ends are tangent with skew lines section and horizontal linear section respectively, and its roll shape curve equation is:
(1)
Wherein,L e It is the roller shape total length that unilateral end is collectively constituted by skew lines section and conic section section, mm;L s It is two
Secondary curve roller shape length, mm;L h It is working roll horizontal linear section roller shape length, mm;xIt is with conic section roller shape and horizontal linear
Section roller shape points of tangency is the roll barrel length direction coordinate of origin, mm; y(x) it is with conic section roller shape and horizontal linear section
Roller shape points of tangency is the roller radius roll shape curve coordinate of origin, μm;aIt is conic section roller shape parameter, span is -0.04
~ -0.01, unit is 1.
Wherein, the span of the roll shifting range of the working roll is 0 ~ 400mm.
Roll contour design method based on the working roll provided by the present invention for cold rolling Edge Drop Control is comprised the following steps:
Step 1:Strip minimum widith according to produced on-siteB min, strip Breadth MaximumB max, working roll roll shifting it is maximum
StrokeS maxWith working roll body of roll total lengthL w , obtain the roller shape that unilateral end is collectively constituted by skew lines section and conic section section
Total lengthL e Interval be:
(2)
Wherein, in formulaB minIt is strip minimum widith,B maxIt is strip Breadth Maximum,S maxIt is the roll shifting maximum row of working roll
Journey,L w It is working roll body of roll total length;
Step 2:According to the roller shape total length that unilateral end is collectively constituted by skew lines section and conic section sectionL e Determine two
Secondary curve roller shape lengthL s For:
(3)
Wherein, in formulakIt is coefficient, span is 0.1-0.3;
Step 3:Determine conic section roller shape parameteraValue, choosea 0As its initial value, i.e.,:
(4)
Wherein,a 0It is constant, span is -0.03 ~ -0.02;
Step 4:According to the conic section roller shape length for determiningL s With conic section roller shape parameteraValue determine conic section
Equation:
(5)
Step 5:Quadratic curve equation according to determining determines skew lines section roller shape:Skew lines section is tangent with conic section,
Conic section is existedPlace's derivation obtains skew lines slope over 10 and then determines that skew lines section roll shape curve equation is:
(6)
Step 6:According to working roll in addition to the roller shape that unilateral end is collectively constituted by skew lines section and conic section section, design
It is horizontal linear roller shape, roll shape curve equation is:
(7)
Step 7:The formula that step 4-6 is obtained(5), formula(6)And formula(7)3 sections of roll shape curve equations of description are closed
And the roll shape curve for obtaining the working roll for cold rolling Edge Drop Control is represented into piecewise function;
Step 8:The roll shape curve of the working roll obtained according to step 7 obtains complete roller shape and carries out commerical test being changed
Kind side drop amountd 0, compare the side drop amount of improvementd 0With the side drop amount for expecting to improved t, whend 0The deviation of value is less thand tThe 10% of value
When, then roll contour design is completed, whend 0The deviation of value is more thand tValue 10% when, obtain final conic section roller shape according to interpolation method
ParameteraFor:
(8)
It is updated in step 4, recalculates roll shape curve equation.
Obtained in the step 1L e Value, to reduce grinding roller amount,L e Value value and rounding near interval limit.
Embodiment:
Referring to accompanying drawing 1, under two-dimensional coordinate system in figure, the work for cold rolling Edge Drop Control provided in an embodiment of the present invention
Roller roller shape include skew lines section, conic section section and horizontal linear section, conic section Duan Qi two ends respectively with skew lines section and
Horizontal linear section is tangent, and its roll shape curve equation is:
Wherein,xIt is the roll barrel length direction with conic section roller shape and horizontal linear section roller shape points of tangency as origin
Coordinate, mm;y(x) it is to be sat with conic section roller shape and horizontal linear roller radius roll shape curve of the section roller shape points of tangency as origin
Mark, μm.
Referring to accompanying drawing 1, based on the shape of working roll method for designing for cold rolling Edge Drop Control provided in an embodiment of the present invention
Comprise the following steps:
Step 1:Strip minimum widith according to produced on-siteB min=1000mm, strip Breadth MaximumB max=1300mm, work
Make roller maximum roll shifting amountS max=150mm and working roll body of roll total lengthL w =1605mm, obtains unilateral end skew lines section and secondary
Curved section roller shape total lengthL e Interval be:
L e Arbitrary value in desirable above-mentioned interval, to reduce grinding roller amount, value and rounding, take near interval limitL e For
155mm。
Step 2:According to the roller shape total length that unilateral end is collectively constituted by skew lines section and conic section sectionL e Determine two
Secondary length of curveL s For
WhereinkValue is 0.258.
Step 3:Determine conic section roller shape parameteraValue, choosea 0As its initial value, i.e.,:
=-0.020
Step 4:According to the conic section length for determiningL s And parameteraValue determine quadratic curve equation:
Step 5:Quadratic curve equation according to determining determines skew lines section roller shape, skew lines section and conic section roller shape phase
Cut, conic section is existedPlace's derivation obtains skew lines slope over 10 and then determines that skew lines section roll shape curve equation is:
Wherein, the overall cone of the roller shape that unilateral end is collectively constituted by conic section and skew lines is highValue be defined as
216μm。
Step 6:Working roll is designed as water in addition to the roller shape that unilateral end is collectively constituted by skew lines section and conic section section
Flat line roller shape, working roll horizontal linear section roller shape lengthBy body of roll total lengthUnilateral end is subtracted by skew lines section and two
The roller shape total length that secondary curved section is collectively constitutedL e Obtain, horizontal linear section roll shape curve equation is:
Step 7:3 sections of roll shape curve equations that step 4,5,6 obtain are merged into a piecewise function represent and obtain this
The roll shape curve of the working roll provided by the present invention for cold rolling Edge Drop Control that example is represented.
Step 8:The roll shape curve of the working roll obtained according to step 7 obtains complete roller shape and carries out commerical test being changed
Kind side drop amountd 0=4 μm, expect the side drop amount for improvingd t=5 μm, d 0The deviation of value is more thand tThe 10% of value, obtains according to interpolation method
To final conic section roller shape parameteraFor:
Conic section roller shape parameter will be obtainedaBe updated in step 4, recalculate roll shape curve equation,
Step 4:According to the conic section length for determiningL s And parameteraValue determine quadratic curve equation:
Step 5:Quadratic curve equation according to determining determines skew lines section roller shape, skew lines section and conic section roller shape phase
Cut, conic section is existedPlace's derivation obtains skew lines slope over 10 and then determines that skew lines section roll shape curve equation is:
Wherein, the overall cone of the roller shape that unilateral end is collectively constituted by conic section and skew lines is highValue be defined as
270μm。
Step 6:Working roll is designed as water in addition to the roller shape that unilateral end is collectively constituted by skew lines section and conic section section
Flat line roller shape, working roll horizontal linear section roller shape lengthBy body of roll total lengthUnilateral end is subtracted by skew lines section and two
The roller shape total length that secondary curved section is collectively constitutedL e Obtain, horizontal linear section roll shape curve equation is:
Step 7:3 sections of roll shape curve equations that step 4,5,6 obtain are merged into a piecewise function represent and obtain this
The roll shape curve of the working roll provided by the present invention for cold rolling Edge Drop Control that example is represented.
Fig. 2 is that the working roll for cold rolling Edge Drop Control provided in an embodiment of the present invention is illustrated along barrel length direction overall picture
Figure, Fig. 3 is the roller shape table of roll shape curve provided using this example, and horizontal linear section is omitted, and Fig. 4 is using the work of the curve
The comparison schematic diagram of the former shape of working roll that roller is used with certain roll five-machine frame cold continuous rolling of 1500mm six rolling scene.From Fig. 4
Can be seen that, this roller shape employs the end rollers shape that conic section is combined with skew lines, conic section section is shorter, skew lines section compared with
It is long, compared to more former roller shape, the taper of conic section is increased so as to increase the side falling tone control energy of the inner side position of border region
Power, reduces the length of curved section so as to reduce transition point slope, while because most edge is straight line, so as to reduce whole edge area
The slope in domain, makes steel edge portion regional stress value relatively small, reduces strip running deviation and causes the unilateral excessive generation of edge stress
The possibility of broken belt, more former roller shape has more preferable anti-sideslip ability.
It is the working roll of the curve to use roller shape(As shown in Figure 3)Certain roll five-machine frame cold continuous rolling of 1500mm six is put into examination
Before and after the large-scale industrial application of rolling, the Edge Drop Control effect of highly significant is achieved.If taking apart from steel edge portion 120mm points
The examination defined amount dropped as strip edge with 20mm dot thickness difference, side drop average value7 μm of ratio reaches 100%, Bian Jiangping
Average4 μm of ratio reaches 80.22%, and poor with plate(Refer to same coiled strip steel maximum gauge on cross section everywhere along its length
With the difference of minimum thickness)8 μm of ratio reaches 98.26%, poor with plate7 μm of ratio reaches 78.42%.At the scene simultaneously
The situation that strip running deviation problem exists always, the asymmetric problem of Edge Drop Control significantly improves before relatively putting into the roller shape,
I.e. the roller shape has more preferable anti-sideslip ability, and the broken belt rate that scene after the roller shape is put into addition is decreased obviously.The roller shape is from water
Flat line is smoothly transitted into skew lines by conic section, and curve segment slope integral value shorter compared with other roll shape curve segment length
Smaller, roller shape surface quality is good, knife flower situation be obviously improved, roller shape stock removal is small, grinding it is in hgher efficiency.
Above-described specific embodiment, has been carried out further to the purpose of the present invention, technical scheme and beneficial effect
Detailed description, should be understood that and the foregoing is only specific embodiment of the invention, be not limited to this hair
Bright, all any modification, equivalent substitution and improvements within the spirit and principles in the present invention, done etc. should be included in the present invention
Protection domain within.