CN108114993A - The method that measurement support roller outer profile obtains strip-mill strip loading roll gap information in real time - Google Patents
The method that measurement support roller outer profile obtains strip-mill strip loading roll gap information in real time Download PDFInfo
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- CN108114993A CN108114993A CN201711401259.7A CN201711401259A CN108114993A CN 108114993 A CN108114993 A CN 108114993A CN 201711401259 A CN201711401259 A CN 201711401259A CN 108114993 A CN108114993 A CN 108114993A
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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 invention discloses a kind of methods for measuring support roller outer profile and obtaining strip-mill strip loading roll gap information in real time, one group of displacement sensor is arranged in four-roller or the top backing up roll upper part of six roller strip-mill strips, by the distance value for measuring displacement sensor and top backing up roll surface, top backing up roll axis is obtained compared with amount of deflection during milling train zero load vertically, amount of deflection and unit width draught pressure when can obtain work roll axis compared with milling train zero load by computation model, with reference to the flattening amount model of the working roll contacted with band, and then draw the flattening amount of top working roll, finally obtain the pattern curve of loading roll gap, export thickness of slab distribution.For conventional mill, approximating assumption of the direct measurement result instead of this part in Traditional calculating methods is obtained by cloth displacement sensor, does not have to especially be iterated calculating, reduces cumulative errors, precision improves, and entering roll gap moment in rolled piece would know that roll gap information.
Description
Technical field
It a kind of is rolled by measuring the outer profile of support roller the present invention relates to rolling field more particularly to obtain strip in real time
The method of machine loading roll gap information.
Background technology
The high-precision gage and shape control of steel plate and process control are always the control targe of strip-mill strip production process, and
The parameter information of loading roll gap directly affects rolling machine system stability and product quality.In general, strip-mill strip is given birth in rolling
During production, loading roll gap be not easy it is measured directly, so the mode that theoretical calculation is usually taken obtains above-mentioned related data.
Want the numerical value of computational load roll gap, it is necessary to while analyze plastic deformation in the flexible deformation and roll gap of entire roller system and become
Shape, generally use conventional segmentation model influence coefficient method at present, but in this way because lacking one group of known quantity,
Progress first is needed it is assumed that especially needing flow of metal model and the mutual iteration couple solution of rolls' deformation model in roll gap,
Cumulative errors are larger, exist simultaneously time lag.
The content of the invention
It is an object of the invention to provide a kind of measurement backing roll outer profiles to obtain strip-mill strip loading roll gap information in real time
Method, this method can enter roll gap moment in rolled piece and would know that roll gap information.
The technical solution adopted by the present invention to solve the technical problems is:
A kind of method for measuring support roller outer profile and obtaining strip-mill strip loading roll gap information in real time, comprises the following steps:
Step 1:One group of displacement sensor is arranged in the top backing up roll upper part of strip-mill strip, this group of displacement sensor includes
Multiple displacement sensors are uniformly distributed between multiple displacement sensors and aligned each other, and the arrangement of displacement sensor is total
Length is identical with the barrel length of the top backing up roll, and the axial line distance between multiple displacement sensors and the top backing up roll is equal
It is equal, and the axial direction of institute's displacement sensors, all in vertical direction, the detection direction of displacement sensor passes through upper supporting
The axis of roller;
Step 2:The displacement sensor is from institute's displacement sensors to the distance value on the top backing up roll surface;It is logical
The distance for crossing measurement is worth to top backing up roll axis compared with amount of deflection during milling train zero load vertically;
Step 3:According to the quantity of every group of displacement sensor, the distance between two neighboring institute's displacement sensors and work
Make roller, intermediate calender rolls and top backing up roll length and diameter and top backing up roll axis compared with during milling train zero load vertically
Amount of deflection, establish top backing up roll, intermediate calender rolls and working roll axis deformation expression formula, establish roller between elastic flattening expression formula, establish
Compatibility of deformation expression formula, power and torque equilibrium equation between roller obtain unit width draught pressure and work roll axis compared with rolling
Amount of deflection during machine zero load;
Step 4:Coefficient is influenced according to the flattening of the working roll contacted with band, unit width draught pressure is two neighboring
The distance between displacement sensor with reference to the flattening amount model of the working roll contacted with band, obtains the work contacted with band
The flattening amount of roller;And
Step 5:Work roll axis phase during according to unloaded roll gap constant, the flattening amount of the working roll contacted with band, rolling
The unloaded gap between amount of deflection and working roll and band during for milling train zero load, obtains the pattern curve of loading roll gap.
Preferably, the strip-mill strip is four-high mill or six-high cluster mill.
Preferably, when milling train is six-high cluster mill, step 3 concretely comprises the following steps:
Establish top backing up roll, intermediate calender rolls and working roll axis deformation expression formula
Wherein, fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fmIt is empty compared with milling train for intermediate roll axis
Amount of deflection during load, fwAmount of deflection during for the roll axis that work during rolling compared with milling train zero load, αbFor the distributed load shadow of top backing up roll
Ring coefficient, αmCoefficient, α are influenced for the distributed load of intermediate calender rollswCoefficient, q are influenced for the distributed load of working rollmbFor intermediate calender rolls and
Pressure is distributed between top backing up roll, qwmPressure is distributed between working roll and intermediate calender rolls, and Δ y is between two neighboring displacement sensor
Distance, cmoFor the intermediate calender rolls axis shift with top backing up roll body of roll operating side contact position, cmdTo be driven with the top backing up roll body of roll
Terminate the intermediate calender rolls axis shift of synapsis, cwoFor the axis shift of working roll operating side, cwdFor the axis position of working roll driving end
It moves, lbFor top backing up roll barrel length, αFwCoefficient, y are influenced for the bending roller force of working rolliFor point on work roll axis to working roll
The distance at body of roll center, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure, y be to
The distance at working roll body of roll center,
Elastic flattening expression formula between roller is established,
Δmbi=αmbiqmbi(i=1,2 ..., m); (4)
Δwmi=αwmiqwmi(i=1,2 ..., m); (5)
Wherein, ΔmbThe elastic flattening amount between intermediate calender rolls and top backing up roll, ΔwmIt is elastic between working roll and intermediate calender rolls
Flattening amount, αmbFlattening coefficient between intermediate calender rolls and top backing up roll, αwmFlattening coefficient between working roll and intermediate calender rolls;
Establish compatibility of deformation expression formula between roller
fmi=fbi+Δmbi+ΔDmbi(i=1,2 ..., m): (6)
fwi=fmi+Δwmi+ΔDwmi(i=1,2 ..., m): (7)
Wherein, Δ DmbUnloaded gap between intermediate calender rolls and top backing up roll, Δ DwmBetween working roll and intermediate calender rolls
Unloaded gap;
Establish the power of working roll and intermediate calender rolls and equalising torque expression formula
Wherein, LsTo depress fulcrum centre-to-centre spacing;
Simultaneous above-mentioned (1)~(11), can solve fw、pl, that is, amount of deflection and unit when the roll axis that work are compared with milling train zero load
Width draught pressure.
Preferably, when milling train is four-high mill, step 3 concretely comprises the following steps:
Top backing up roll and working roll axis deformation expression formula are established,
Wherein, fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fwFor rolling when work roll axis compared with
Amount of deflection during milling train zero load, αbCoefficient, α are influenced for the distributed load of top backing up rollwCoefficient is influenced for the distributed load of working roll,
qwbFor roll force distribution, distances of the Δ y between two neighboring displacement sensor, cwoFor the axis shift of working roll operating side,
cwdFor the axis shift of working roll driving end, αFwCoefficient, y are influenced for the bending roller force of working rolliFor point on work roll axis to work
Make the distance at roller body of roll center, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure;
Establish elastic flattening expression formula between roller
Δwbi=αwbiqwbi(i=1,2 ..., m) (16)
Wherein, ΔwbThe elastic flattening amount between roller, αwbCoefficient is flattened between roller;
Establish working roll and top backing up roll axis deformation coordinated expression formula:
fwi=fbi+Δwbi+ΔDwbi(i=1,2 ..., m) (17)
Wherein, Δ DwbThe unloaded gap between roller;
Establish working roll balance expression:
The above-mentioned expression formula of simultaneous (14)~(19), can solve fw、pl, that is, the scratching when roll axis that work are compared with milling train zero load
Degree and unit width draught pressure.
Preferably, the step 4 concretely comprises the following steps:
The flattening amount expression formula of the working roll contacted with band is established,
Wherein, ΔwsFlattening amount for the working roll contacted with band;αwsFlattening shadow for the working roll contacted with band
Ring coefficient.
Preferably, the step 5 concretely comprises the following steps:
The pattern curve of loading roll gap is established, that is, exports thickness of slab distribution expression formula
h1i=s0+2fwi+2Δwsi+2ΔRwi(i=1,2 ..., m) (13)
Wherein, h1For loading roll gap, s0For unloaded roll gap constant, Δ RwUnloaded gap between working roll and band.
Preferably, institute's displacement sensors are ultrasonic sensor, infrared ray sensor or laser sensor;The displacement
The range of sensor is more than 2mm, and measurement accuracy is less than 100nm, and repeatable accuracy is less than 50nm.
The beneficial effects of the invention are as follows:
1st, a kind of method for measuring backing roll outer profile and obtaining strip-mill strip loading roll gap information in real time, it is high-precision by configuring
Displacement sensor is spent, direct measurement result can reflect top backing up roll axis compared with scratching vertically during milling train zero load
Degree, amount of deflection and unit width draught pressure when can obtain work roll axis compared with milling train zero load by computation model, with reference to
The flattening amount model of the working roll contacted with band, and then draw the flattening amount of top working roll, finally obtain the shape of loading roll gap
Shape curve exports thickness of slab distribution.
2nd, the position of displacement sensor possesses enough spaces, other disturbing factors in the surface of upper backup roll
It is few, it is easy to operate, easily arranged on existing rolling line.
3rd, compared to Traditional calculating methods, intermediate computations link is reduced, direct measurement result is instead of this part in tradition
Approximating assumption in calculating, especially do not have to be iterated calculatings, reduce cumulative errors, computational accuracy raising, rolled piece into
Entering roll gap moment would know that roll gap information.
Description of the drawings
Fig. 1 is sensor arrangement position transverse direction schematic diagram;
Fig. 2 is sensor arrangement position axial direction schematic diagram;
Fig. 3 is the mechanical model of six-high cluster mill rolled strip;
Fig. 4 be a certain moment top backing up roll axis compared with milling train zero load when amount of deflection;
Fig. 5 is the loading roll gap pattern curve being calculated at a certain moment.
Main Reference Numerals:
1 one groups of 2 tops backing up roll of displacement sensor
3 intermediate calender rolls, 4 working roll
Specific embodiment
Below with reference to the attached drawing exemplary embodiment that the present invention will be described in detail, feature and aspect.It is identical attached in attached drawing
Icon note represents functionally the same or similar element.Although the various aspects of embodiment are shown in the drawings, unless special
It does not point out, it is not necessary to attached drawing drawn to scale.
Specific embodiment one:
As shown in Figure 1, the present invention provides one kind obtains strip-mill strip load roller in real time by measuring top backing up roll outer profile
The method for stitching information arranges one group of displacement sensor 1, this group of displacement sensor 1 on 2 top of top backing up roll of existing six-high cluster mill
It is uniformly distributed each other including multiple displacement sensors, between multiple displacement sensors and aligned, the row of displacement sensor
Row total length is identical with the barrel length of top backing up roll 2, and the axial line distance between multiple displacement sensors and top backing up roll 2 is homogeneous
Deng, and the axial direction of displacement sensor is all in vertical direction, detection axis of the direction by top backing up roll of displacement sensor
Line, rolling mill upper supporting roll 2 a diameter of 820mm, barrel length 850mm, 3 a diameter of 330mm of intermediate calender rolls, barrel length are
920mm, 4 a diameter of 260mm of working roll, barrel length 900mm, one group of sensor 15 and are uniformly distributed totally, and two adjacent
Center sensor spacing is 60mm, transducer range 3mm, measurement accuracy 100nm, repeatable accuracy 50nm.This field skill
Art personnel both know about, and in addition to ultrasonic sensor used in the present embodiment, displacement sensor can also use infrared ray biography
Other sensors such as sensor, laser sensor;As long as range >=2mm of displacement sensor, measurement accuracy≤100nm repeats essence
Degree≤50nm, and being capable of long-term stable operation under operating mode at the scene.
It is mounted with the strip-mill strip of displacement sensor, displacement sensor is for measurement from displacement sensor to top backing up roll table
The distance value (top backing up roll outer profile) in face, the change for the distance value that displacement sensor is measured in milling train load and milling train zero load
Change, actually 2 axis of top backing up roll is compared with amount of deflection during milling train zero load vertically.
Then, according to the distance between the quantity of every group of displacement sensor, two neighboring displacement sensor and working roll
4th, the length and diameter and top backing up roll axis of intermediate calender rolls 3 and top backing up roll 2 compared with during milling train zero load vertically
Amount of deflection, establish top backing up roll, intermediate calender rolls and working roll axis deformation expression formula, establish roller between elastic flattening expression formula, establish roller
Between compatibility of deformation expression formula, power and torque equilibrium equation, obtain unit width draught pressure and work roll axis compared with milling train
Amount of deflection when unloaded;
Flattening further according to the working roll contacted with band influences coefficient, and unit width draught pressure is two neighboring high-precision
The distance between displacement sensor is spent, with reference to the flattening amount model of the working roll contacted with band, obtains the work contacted with band
Make the flattening amount of roller;
The roll axis that work when finally, according to unloaded roll gap constant, the flattening amount of the working roll contacted with band, rolling are opposite
The unloaded gap between amount of deflection and working roll and band when milling train zero load, obtains the pattern curve of loading roll gap.
For the six-high cluster mill in the present embodiment, the specific algorithm step of computation model is as follows:
(1) every group of displacement sensor quantity is m, and two neighboring displacement sensor distance is Δ y, as shown in Figure 1, utilizing position
The measurement result of displacement sensor obtains top backing up roll axis compared with amount of deflection during milling train zero load vertically.
(2) amount of deflection and unit width Rolling Pressure Calculation model when roll axis are worked when rolling compared with milling train zero load
For:
According to the mechanical model of Fig. 3 six-high cluster mill rolled strips, for the convenience of mathematical computations, reference axis, work are first established
Make roller body of roll center as zero point, work roll axis are transverse axis y, and driving end is just, operating side is negative, and Z is vertical pivot.In above-mentioned formula
Variable-definition is as follows, wherein fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fmIt is intermediate roll axis compared with rolling
Amount of deflection during machine zero load, fwAmount of deflection during for the roll axis that work during rolling compared with milling train zero load, αbIt is carried for the distribution of top backing up roll
Lotus influences coefficient, αmCoefficient, α are influenced for the distributed load of intermediate calender rollswCoefficient, q are influenced for the distributed load of working rollmbFor centre
Pressure is distributed between roller and top backing up roll, qwmPressure is distributed between working roll and intermediate calender rolls, and Δ y is two neighboring displacement sensing
Distance between device, cmoFor the intermediate calender rolls axis shift with top backing up roll body of roll operating side contact position, cmdFor with the top backing up roll body of roll
The intermediate calender rolls axis shift of driving end contact position, cwoFor the axis shift of working roll operating side, cwdFor the axis of working roll driving end
Displacement of the lines, lbFor top backing up roll barrel length, yiFor point on work roll axis to the distance at working roll body of roll center, αFwFor work
The bending roller force of roller influences coefficient, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure;
Elastic flattening computation model is between roller:
Δmbi=αmbiqmbi(i=1,2 ..., m) (4)
Δwmi=αwmiqwmi(i=1,2 ..., m) (5)
Wherein, ΔmbThe elastic flattening amount between intermediate calender rolls and top backing up roll, ΔwmIt is elastic between working roll and intermediate calender rolls
Flattening amount, αmbFlattening coefficient between intermediate calender rolls and top backing up roll, αwmFlattening coefficient between working roll and intermediate calender rolls.
Compatibility of deformation computation model is between roller:
fmi=fbi+Δmbi+ΔDmbi(i=1,2 ..., m) (6)
fwi=fmi+Δwmi+ΔDwmi(i=1,2 ..., m) (7)
Wherein, Δ DmbUnloaded gap between intermediate calender rolls and top backing up roll, Δ DwmBetween working roll and intermediate calender rolls
Unloaded gap.
The power and equalising torque computation model of working roll and intermediate calender rolls is:
Wherein, LsTo depress fulcrum centre-to-centre spacing.
The above-mentioned expression formula of simultaneous (1)~(11), can solve fw、pl, that is, the amount of deflection when roll axis that work are compared with milling train zero load
With unit width draught pressure.
(3) the flattening amount computation model of the working roll contacted with band is:
Wherein, ΔwsFlattening amount for the working roll contacted with band;αwsFlattening shadow for the working roll contacted with band
Ring coefficient.
(4) pattern curve of loading roll gap, that is, exporting thickness of slab distributed computing model is:
h1i=s0+2fwi+2Δwsi+2ΔRwi(i=1,2 ..., m) (13)
Wherein, h1For loading roll gap, s0For unloaded roll gap constant, Δ RwUnloaded gap between working roll and band.
Specific embodiment two:
If the present invention is used for four-high mill, the specific algorithm step (1), (3) and (4) of computation model and six rollings
Machine is identical, and step (2) uses following algorithm:
Amount of deflection and unit width Rolling Pressure Calculation model when roll axis are worked during rolling compared with milling train zero load are:
Wherein, fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fwFor rolling when work roll axis compared with
Amount of deflection during milling train zero load, αbCoefficient, α are influenced for the distributed load of top backing up rollwCoefficient is influenced for the distributed load of working roll,
qwbFor roll force distribution, distances of the Δ y between two neighboring displacement sensor, cwoFor the axis shift of working roll operating side,
cwdFor the axis shift of working roll driving end, yiFor point on work roll axis to the distance at working roll body of roll center, αFwFor work
The bending roller force of roller influences coefficient, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure.
Elastic flattening computation model is between roller:
Δwbi=αwbiqwbi(i=1,2 ..., m) (16)
Wherein, ΔwbThe elastic flattening amount between roller, αwbCoefficient is flattened between roller.
Working roll coordinates computation model with top backing up roll axis deformation:
fwi=fbi+Δwbi+ΔDwbi(i=1,2 ..., m) (17)
Wherein, Δ DwbThe unloaded gap between roller.
The power and equalising torque computation model of working roll is:
Wherein, LsTo depress fulcrum centre-to-centre spacing.
The above-mentioned expression formula of simultaneous (14)~(19), can solve fw、pl, that is, the scratching when roll axis that work are compared with milling train zero load
Degree and unit width draught pressure.
In practical applications by taking four-high mill as an example, a diameter of 380mm of the operation roll of mill, working roll barrel length is
900mm, a diameter of 800mm of top backing up roll, top backing up roll barrel length are 900mm.Rolled products width is 500mm, unloaded roller
It stitches as 2.5mm.During Rolling Production, at a time, measurement value sensor reflects that top backing up roll axis is unloaded compared with milling train
When amount of deflection (vertical displacement) f verticallybAs shown in Figure 4;The pattern curve of loading roll gap is calculated, that is, exports thickness of slab
It is distributed h1, as shown in Figure 5.
The present invention can reflect that top backing up roll axis is empty compared with milling train by configuring displacement sensor, direct measurement result
Amount of deflection during load vertically, amount of deflection and unit when can obtain work roll axis compared with milling train zero load by computation model
Width draught pressure with reference to the flattening amount model of the working roll contacted with band, and then draws the flattening amount of top working roll, finally
The pattern curve of loading roll gap is obtained, that is, exports thickness of slab distribution.Compared to Traditional calculating methods, reduce intermediate computations link, directly
Approximating assumption of the measurement result instead of this part in traditional calculations is connect, does not have to especially be iterated calculating, makes accumulative mistake
Subtractive is small, and computational accuracy improves, and entering roll gap moment in rolled piece would know that roll gap information.By test, using conventional method,
Metal pattern is related with convergence error with roller system model iterations, typically at least 50 times or more, and it is very long to calculate the time, metal pattern
For type to accurate, metal pattern needs 1 minute or more every time, and roller system model 0.05 second or so so causes conventional method at least
50 minutes or more are needed, and the application only needs 0.05 second, difference of them is very big, is iterated to calculate especially in conventional method unstable
It is fixed, dissipate sometimes, error will bigger, using the application so that error is controllable.
Finally it should be noted that:Above-described embodiments are merely to illustrate the technical scheme rather than to it
Limitation;Although the present invention is described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that:
It can still modify to the technical solution recorded in previous embodiment or to which part or all technical characteristic into
Row equivalent substitution;And these modifications or substitutions, the essence of appropriate technical solution is not made to depart from various embodiments of the present invention technical side
The scope of case.
Claims (7)
- A kind of 1. method for measuring support roller outer profile and obtaining strip-mill strip loading roll gap information in real time, which is characterized in that including Following steps:Step 1:One group of displacement sensor is arranged in the top backing up roll upper part of strip-mill strip, this group of displacement sensor includes multiple Displacement sensor, is uniformly distributed between multiple displacement sensors and aligned, the arrangement total length of displacement sensor each other Identical with the barrel length of the top backing up roll, the axial line distance between multiple displacement sensors and the top backing up roll is homogeneous Deng, and the axial direction of institute's displacement sensors, all in vertical direction, the detection direction of displacement sensor passes through top backing up roll Axis;Step 2:The displacement sensor is from institute's displacement sensors to the distance value on the top backing up roll surface;Pass through survey The distance of amount is worth to top backing up roll axis compared with amount of deflection during milling train zero load vertically;Step 3:According to the quantity of every group of displacement sensor, the distance between two neighboring institute's displacement sensors and work Roller, the length and diameter of intermediate calender rolls and top backing up roll and top backing up roll axis compared with during milling train zero load vertically Amount of deflection, establish top backing up roll, intermediate calender rolls and working roll axis deformation expression formula, establish roller between elastic flattening expression formula, establish roller Between compatibility of deformation expression formula, power and torque equilibrium equation, obtain unit width draught pressure and work roll axis compared with milling train Amount of deflection when unloaded;Step 4:Coefficient, unit width draught pressure, two neighboring displacement are influenced according to the flattening of the working roll contacted with band The distance between sensor with reference to the flattening amount model of the working roll contacted with band, obtains the working roll contacted with band Flattening amount;AndStep 5:According to unloaded roll gap constant, the working roll contacted with band flattening amount, rolling when work roll axis compared with The unloaded gap between amount of deflection and working roll and band during milling train zero load, obtains the pattern curve of loading roll gap.
- 2. the method that measurement support roller outer profile according to claim 1 obtains strip-mill strip loading roll gap information in real time, It is characterized in that, the strip-mill strip is four-high mill or six-high cluster mill.
- 3. the method that measurement support roller outer profile according to claim 2 obtains strip-mill strip loading roll gap information in real time, It is characterized in that, when milling train is six-high cluster mill, step 3 concretely comprises the following steps:Establish top backing up roll, intermediate calender rolls and working roll axis deformation expression formula<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>b</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>q</mi> <mrow> <mi>m</mi> <mi>b</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>q</mi> <mrow> <mi>m</mi> <mi>b</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow> <mi>m</mi> <mi>o</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mrow> <mi>m</mi> <mi>d</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>c</mi> <mrow> <mi>m</mi> <mi>o</mi> </mrow> </msub> <mo>)</mo> </mrow> <mfrac> <mrow> <mn>0.5</mn> <msub> <mi>l</mi> <mi>b</mi> </msub> <mo>+</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> </mrow> <msub> <mi>l</mi> <mi>b</mi> </msub> </mfrac> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mrow> <mi>w</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>w</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> <mo>-</mo> <msub> <mi>&alpha;</mi> <mrow> <mi>F</mi> <mi>w</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>F</mi> <mi>w</mi> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>o</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>d</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>o</mi> </mrow> </msub> <mo>)</mo> </mrow> <mfrac> <mrow> <mn>0.5</mn> <msub> <mi>l</mi> <mi>w</mi> </msub> <mo>+</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> </mrow> <msub> <mi>l</mi> <mi>w</mi> </msub> </mfrac> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>Wherein, fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fmDuring for intermediate roll axis compared with milling train zero load Amount of deflection, fwAmount of deflection during for the roll axis that work during rolling compared with milling train zero load, αbSystem is influenced for the distributed load of top backing up roll Number, αmCoefficient, α are influenced for the distributed load of intermediate calender rollswCoefficient, q are influenced for the distributed load of working rollmbFor intermediate calender rolls and upper branch Pressure is distributed between runner, qwmBetween working roll and intermediate calender rolls pressure be distributed, Δ y between two neighboring displacement sensor away from From cmoFor the intermediate calender rolls axis shift with top backing up roll body of roll operating side contact position, cmdIt is terminated to be driven with the top backing up roll body of roll The intermediate calender rolls axis shift of synapsis, cwoFor the axis shift of working roll operating side, cwdFor the axis shift of working roll driving end, lb For top backing up roll barrel length, αFwCoefficient, y are influenced for the bending roller force of working rolliFor point on work roll axis to the working roll body of roll The distance at center, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure, y is to work The distance at roller body of roll center,Elastic flattening expression formula between roller is established,Δmbi=αmbiqmbi(i=1,2 ..., m); (4)Δwmi=αwmiqwmi(i=1,2 ..., m); (5)Wherein, ΔmbThe elastic flattening amount between intermediate calender rolls and top backing up roll, ΔwmThe elastic flattening between working roll and intermediate calender rolls Amount, αmbFlattening coefficient between intermediate calender rolls and top backing up roll, αwmFlattening coefficient between working roll and intermediate calender rolls;Establish compatibility of deformation expression formula between rollerfmi=fbi+Δmbi+ΔDmbi(i=1,2 ..., m): (6)fwi=fmi+Δwmi+ΔDwmi(i=1,2 ..., m): (7)Wherein, Δ DmbUnloaded gap between intermediate calender rolls and top backing up roll, Δ DwmZero load between working roll and intermediate calender rolls Gap;Establish the power of working roll and intermediate calender rolls and equalising torque expression formula<mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mo>+</mo> <mn>2</mn> <msub> <mi>F</mi> <mi>w</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>F</mi> <mi>w</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>m</mi> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>m</mi> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>m</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>Wherein, LsTo depress fulcrum centre-to-centre spacing;Simultaneous above-mentioned (1)~(11), can solve fw、pl, that is, amount of deflection and unit width when the roll axis that work are compared with milling train zero load Draught pressure.
- 4. the method that measurement support roller outer profile according to claim 2 obtains strip-mill strip loading roll gap information in real time, It is characterized in that, when milling train is four-high mill, step 3 concretely comprises the following steps:Top backing up roll and working roll axis deformation expression formula are established,<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>f</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>b</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>b</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> <mo>;</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>14</mn> <mo>)</mo> </mrow> </mrow><mrow> <msub> <mi>f</mi> <mrow> <mi>w</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>w</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>b</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> <mo>-</mo> <msub> <mi>&alpha;</mi> <mrow> <mi>F</mi> <mi>w</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>F</mi> <mi>w</mi> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>o</mi> </mrow> </msub> <mo>+</mo> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>d</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>c</mi> <mrow> <mi>w</mi> <mi>o</mi> </mrow> </msub> <mo>)</mo> </mrow> <mfrac> <mrow> <mn>0.5</mn> <msub> <mi>l</mi> <mi>w</mi> </msub> <mo>+</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> </mrow> <msub> <mi>l</mi> <mi>w</mi> </msub> </mfrac> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>15</mn> <mo>)</mo> </mrow> </mrow>Wherein, fbAmount of deflection during for top backing up roll axis compared with milling train zero load, fwWork roll axis are compared with milling train when being rolling Amount of deflection when unloaded, αbCoefficient, α are influenced for the distributed load of top backing up rollwCoefficient, q are influenced for the distributed load of working rollwbFor Roll force distribution, distances of the Δ y between two neighboring displacement sensor, cwoFor the axis shift of working roll operating side, cwdFor The axis shift of working roll driving end, αFwCoefficient, y are influenced for the bending roller force of working rolliFor point on work roll axis to working roll The distance at body of roll center, FwFor work roll bending power, lwFor working roll barrel length, plFor unit width draught pressure;Establish elastic flattening expression formula between rollerΔwbi=αwbiqwbi(i=1,2 ..., m) (16)Wherein, ΔwbThe elastic flattening amount between roller, αwbCoefficient is flattened between roller;Establish working roll and top backing up roll axis deformation coordinated expression formula:fwi=fbi+Δwbi+ΔDwbi(i=1,2 ..., m) (17)Wherein, Δ DwbThe unloaded gap between roller;Establish working roll balance expression:<mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <mrow> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> </mrow> <mo>+</mo> <mn>2</mn> <msub> <mi>F</mi> <mi>w</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>18</mn> <mo>)</mo> </mrow> </mrow><mrow> <mtable> <mtr> <mtd> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>q</mi> <mrow> <mi>w</mi> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <mn>2</mn> </mfrac> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>F</mi> <mi>w</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>19</mn> <mo>)</mo> </mrow> </mrow>The above-mentioned expression formula of simultaneous (14)~(19), can solve fw、pl, that is, amount of deflection when the roll axis that work are compared with milling train zero load and Unit width draught pressure.
- 5. the method that measurement support roller outer profile according to claim 1 obtains strip-mill strip loading roll gap information in real time, It is characterized in that, the step 4 concretely comprises the following steps:The flattening amount expression formula of the working roll contacted with band is established,<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>&Delta;</mi> <mrow> <mi>w</mi> <mi>s</mi> <mi>i</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>&alpha;</mi> <mrow> <mi>w</mi> <mi>s</mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>p</mi> <mrow> <mi>l</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>&Delta;y</mi> <mi>j</mi> </msub> </mrow> </mtd> <mtd> <mrow> <mo>(</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>m</mi> <mo>)</mo> </mrow> </mtd> </mtr> </mtable> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>12</mn> <mo>)</mo> </mrow> </mrow>Wherein, ΔwsFlattening amount for the working roll contacted with band;αwsThe flattening of working roll to be contacted with band influences system Number.
- 6. the method that measurement support roller outer profile according to claim 1 obtains strip-mill strip loading roll gap information in real time, It is characterized in that, the step 5 concretely comprises the following steps:The pattern curve of loading roll gap is established, that is, exports thickness of slab distribution expression formulah1i=s0+2fwi+2Δwsi+2ΔRwi(i=1,2 ..., m) (13)Wherein, h1For loading roll gap, s0For unloaded roll gap constant, Δ RwUnloaded gap between working roll and band.
- 7. the method that measurement support roller outer profile according to claim 1 obtains strip-mill strip loading roll gap information in real time, It is characterized in that:Institute's displacement sensors are ultrasonic sensor, infrared ray sensor or laser sensor;The displacement sensing The range of device is more than 2mm, and measurement accuracy is less than 100nm, and repeatable accuracy is less than 50nm.
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CN109550796A (en) * | 2019-01-17 | 2019-04-02 | 中铝瑞闽股份有限公司 | A kind of online roll profile measuring devices and methods therefor |
CN112474824A (en) * | 2020-11-09 | 2021-03-12 | 中冶南方工程技术有限公司 | Method for acquiring thickness distribution of roll gap outlet of four-high mill |
DE102021209714A1 (en) | 2020-09-22 | 2022-03-24 | Sms Group Gmbh | Device and method for rolling metal strip |
CN114769326A (en) * | 2022-03-25 | 2022-07-22 | 北京首钢股份有限公司 | Hot rolling roll gap contour construction method and system |
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CN114769326A (en) * | 2022-03-25 | 2022-07-22 | 北京首钢股份有限公司 | Hot rolling roll gap contour construction method and system |
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