CN113500100B - Roll gap control method based on mechanical parameters on rolling contact interface segmentation model - Google Patents
Roll gap control method based on mechanical parameters on rolling contact interface segmentation model Download PDFInfo
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- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
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- 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
Abstract
The invention provides a roll gap control method based on mechanical parameters on a rolling contact interface sectional model, which comprises the following specific implementation steps of: s1, dividing the rolling deformation zone into different deformation zone micro-elements according to the friction characteristics of the rolling contact interface according to the thickness of the rolled piece and the length of the deformation zone; s2, establishing a volume expression of metal flow of the rolled piece in the rolling contact interface according to the infinitesimal body of the rolling deformation area; s3, according to the contact arc length l on the rolling contact interface and the average thickness of the rolled piece
The rolling contact interface is divided into sections and the unit rolling pressure in each section is calculated according to the specific value of the rolling contact interface; s4, calculating the corresponding total rolling force P according to the unit rolling force calculated in S3i(ii) a S5, calculating the total rolling force P of S4iThe value of (d) is compared with the set allowable deviation range e value to perform dynamic adjustment. The invention can accurately calculate the rolling force in rolling, and find the deviation between the actual rolling force and the set rolling force in field production in time and make adjustment.
Description
Technical Field
The invention relates to the technical field of ferrous metallurgy, in particular to a roll gap control method based on mechanical parameters on a rolling interface segmentation model.
Background
With the rapid development of economy in China, the process of transformation from the traditional industry to a novel industry is accelerated, the technical level of industries such as automobile manufacturing, aerospace, precision instruments and the like is increasingly improved, and the requirements of various industries on high-quality hot-rolled plates and strips are obviously increased. In actual production, there are also many problems. Such as sheet strip product surface quality problems caused by mill vibrations. Continuous, high speed, heavy duty and steady rolling are the ultimate goals pursued by steel rolling production, but almost all rolling mill facilities cannot avoid rolling mill stability and rolling mill vibration problems during rolling production.
In production, several vibrations affecting the surface quality of the plate strip can be divided into three main categories: rolling mill systems vibrate vertically, horizontally, and torsionally. The rolling interface is influenced by all three kinds of vibration, and is the key point for realizing stable rolling.
The rolling interface is the working interface of the roller and the rolled piece, and the dynamic behavior of the rolling interface has important influence on the vibration of the rolling process. The dynamic behavior of the rolling interface is closely related to the friction state and the rolling force of the rolling interface. According to the difference of friction states, the relation between the rolling force and the rolling mill vibration is found, and the method has important significance for timely adjusting rolling parameters and better producing high-quality plate strips.
According to the ratio of the length of the deformation zone to the average height of the rolled piece, the rolling interfaces are divided into three categories: the first type comprises two sections of sliding areas, two sections of braking areas and a section of stagnation area; the second type comprises two sections of sliding areas and one section of stagnation area; the third category comprises a stagnant zone.
In the rolling force, stagnation zone length, dynamic speed model, there are parameters coupled in correlation, which makes it more complicated to achieve stable rolling. The dynamic mechanical parameter information of the rolling process is collected by the rolling deformation area and the rolling interface. When the rolling process is unstable, the rolling mill vibration can cause the change of mechanical parameters of a rolling deformation area, and the change of the mechanical parameters can cause the dynamic change of the motion state of the rolling mill. The mutual coupling effect of the dynamic motion of the rolling mill and the dynamic mechanical parameters of the rolling deformation area determines the dynamic characteristic behavior characteristic of a rolling mill system, and directly influences the product quality. Therefore, a method is established for accurately calculating relevant mechanical parameters and adjusting the control parameters of the roller, and the method has important significance and practical value for improving the rolling stability.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a roll gap control method based on mechanical parameters on a rolling interface section model, which is mainly characterized in that the mechanical parameters of a rolling interface are divided into different types according to the mechanical parameters, and the different types are calculated, so that more accurate calculation can be carried out, and the control variable quantity of the rolling reduction is provided according to the calculation result, so that the rolling stability and the product quality are improved.
The invention provides a roll gap control method based on mechanical parameters on a rolling contact interface sectional model, which comprises the following specific implementation steps of:
s1, dividing the rolling deformation zone into different deformation zone micro-elements according to the friction characteristics of the rolling contact interface according to the thickness of the rolled piece and the length of the deformation zone;
s2, establishing a volume expression of metal flow of the rolled piece in the rolling contact interface according to the infinitesimal body of the rolling deformation area, and obtaining the horizontal speed of each point of the rolled piece along the contact arc of the roller on the rolling contact interface;
s21, solving the neutral angle of the rolled piece along the rolling contact interface according to the rolling theory, wherein the specific expression is as follows:
wherein mu is a friction coefficient, delta h is the rolling reduction of a rolled piece, and R is the radius of the roller;
s22, obtaining a contact arc function of the rolled piece according to the geometric distribution state characteristics of the rolling contact interface, wherein the specific expression is as follows:
hx＝2zx
wherein h isBThe thickness of the rolled piece outlet, R is the radius of the roller, and x is the abscissa of any position on the contact interface of the rolled piece and the roller;
s23, calculating the thickness of the rolled piece at the neutral point of the rolling contact interface according to the geometrical parameter characteristics of the rolled piece, wherein the specific expression is as follows:
wherein h isBThe thickness of a rolled piece after rolling, R is the radius of a roller, and gamma is a dynamic neutral angle of a rolling contact interface;
s3, according to the contact arc length l on the rolling contact interface and the average thickness of the rolled piece
The rolling contact interface is divided into sections and the unit rolling pressure in each section is calculated according to the specific value of the rolling contact interface;
s31, according to the rolling theory, the contact arc length l and the average thickness of the rolled piece
Is greater than 5 is set as a first type; will contact arc length l and average thickness of the product
A ratio of (A) to (B) between 2 and 5 is set to a second type; will contact arc length l and average thickness of the product
Is set to be of a third type if the ratio of (A) to (B) is less than 2;
s32, calculating the unit rolling pressure of each section of the deformation area of the first type of rolled piece;
s33, calculating the unit rolling pressure of each section of the deformation area of the second type of rolled piece;
s34, unit rolling pressure of each section of a rolled piece deformation area in the third type is calculated;
s4, respectively obtaining the total rolling force P corresponding to the first type, the second type and the third type according to the unit rolling force calculated in the steps S32 to S34i(i＝1,2,3)；
S41, obtaining the first type total rolling force P according to the unit rolling force obtained in the step S321；
S411, calculating the coordinates corresponding to the points A-F of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xFThe coordinate calculation value of each point in the first type is shown, l is the contact arc length, R is the radius of the working roll, delta h represents the plate strip rolling reduction, and mu represents the friction coefficient of a rolling interface;
s412, the rolling force of each step obtained in the step S32Summing to obtain total rolling force P at the first rolling contact interface type1The specific expression is as follows:
wherein p isxRepresents a unit rolling force at an arbitrary section, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCE，PDFIs the unit rolling force of the braking zone, PEFIs the unit rolling force of the stagnation zone;
s42, obtaining the total rolling force P of the second type of rolling contact interface type according to the unit rolling force obtained in the step S332；
S421, calculating the corresponding coordinates of the points A-F of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xDThe coordinate calculation value of each point in the first type is shown, l is the contact arc length, R is the radius of the working roll, delta h represents the plate strip rolling reduction, and mu represents the friction coefficient of a rolling interface;
s422, summing the rolling forces of the sections obtained in the step S33 to obtain the total rolling force P under the second rolling contact interface type2The specific expression is as follows:
wherein p isxIndicating unit rolling at any sectionForce, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCDIs the unit rolling force of the stagnation area;
s43, obtaining the total rolling force P of the third type of rolling contact interface according to the unit rolling force obtained in the step S343；
S431, calculating the corresponding coordinates of each segmented area point AB, wherein the specific expression is as follows:
xA＝l
xB＝0；
s432, summing the rolling forces of all the sections obtained in the step S34 to obtain the total rolling force P under the third rolling contact interface type3The specific expression is as follows:
wherein h isxIndicates the thickness of the strip at any position, dhxThe thickness change rate of any position is shown, theta represents the included angle between the corresponding chord and the central line of the rolled piece, mu represents the friction coefficient of the rolling interface, and hndThe thickness of a neutral surface of the plate strip is shown, and k represents a constant value when the friction force reaches a maximum value;
s5, calculating the total rolling force P in the step S4iComparing the value of (i is 1,2,3) with the set allowable deviation range e, and dynamically adjusting;
s51, if | PIs provided withWhen P < e, the roller control is not needed;
s52, if | PIs provided with-P | > e and PIs provided withIf the total rolling force is larger, the new outlet thickness value of the rolled piece is h'B＝95％hBH 'is prepared by controlling the roll reduction'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided with-P | < e; if the calculated total rolling force is larger, increasing the new outlet thickness value of the rolled piece by 5 percent, namely controlling the lifting of the roller and h'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided with-P | < e. H at this timeBThe value is the final value to which the final roll should be adjusted.
Preferably, the step S32 specifically includes the following steps:
s321, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the front sliding area to the rear sliding area is greater than 5, the deformation area of the rolled piece is divided into a front sliding area, a rear sliding area, a braking area and a stagnation area;
s322, according to the length of the deformation zone in the step S321, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling force of the BD interval of the front sliding area is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hBCorresponding to the thickness of the rolled piece at the inlet B of the rolling interface, hxExpressing the thickness of the plate belt at any position, and delta expressing the correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
the specific expression of the unit rolling force of the back sliding area AC interval is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hACorresponding to the thickness h of the rolled piece at the outlet position A of the backward sliding areaxThe thickness of the plate belt at any position of the backward slip region is shown, and delta represents the correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
specific expressions of the unit rolling force in the braking areas CE and DF are respectively as follows:
and a CE section:
and (3) DF section:
where k represents a constant value at which the frictional force reaches a maximum value, hC,hDCorresponding to the rolled stock thickness h at the location of the brake area segment C, DxThe thickness of the plate belt at any position d in the corresponding subsection interval is shown, delta represents the correlation coefficient of the corresponding section,
mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
the specific expression of the unit rolling force in the EF interval of the stagnation area is as follows:
wherein k represents a constant value when the friction force in the rolling contact interface reaches the maximum value, theta represents an included angle between the corresponding chord and the central line of the rolled piece, and hndThickness of neutral plane of plate strip, hxTo correspond to the thickness of the rolled piece at any position in the stagnation zone, pEDenotes the stress value at E point, hEIndicating that point E corresponds to the strip thickness.
Preferably, the step S33 specifically includes the following steps:
s331, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the rolling piece to the rolling roller is between 2 and 5, the deformation area of the rolling piece is divided into a front sliding area, a rear sliding area and a stagnation area;
s332, according to the length of the deformation zone in the step S331, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling pressure of the BD interval of the front sliding area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxCorresponding to the thickness of the rolled piece at any position in the front sliding area, hBRepresents the thickness of the corresponding plate strip of the point B;
the specific expression of the unit rolling pressure of the back sliding area AC interval is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxTo correspond to the thickness of the rolled piece at any position in the backward sliding area, hARepresenting the thickness of the plate strip at the outlet of the rolling interface corresponding to the point A;
the specific expression of the unit rolling pressure in the CD interval of the stagnation area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hCDenotes C-point corresponding plate strip thickness, pCRepresenting the C point stress value.
Preferably, said stagnation zone EF of the first type has a contact arc length lEFThe specific expression of (A) is as follows:
wherein h isEIs the thickness of the rolled stock when x is equal to l/2, thetaENThe included angle between the contact arc at any position in the interval of the stagnation area EF and the horizontal plane.
Preferably, said second type of stagnation zone CD zone has a contact arc length lCDThe specific expression of (A) is as follows:
wherein h isCIs that coordinate x is equal to
Thickness of strip at rolling contact interface, thetaCNRepresenting the included angle between the contact arc at any position in the CD interval of the stagnation area and the horizontal plane; h isndThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
Preferably, in step S34, the contact arc length l and the average thickness of the product are determined based on the rolling contact interface
When the ratio of the rolling piece to the roller is less than 2, calculating the unit rolling force of a stagnation area AB in the third type, wherein the specific expression is as follows:
wherein l represents the length of the deformation zone,
k represents a constant value at which the frictional force reaches a maximum value; delta denotes the correlation coefficient of the corresponding segment
μ represents a friction coefficient; theta represents the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hAAnd the A point is represented by the thickness of the plate strip, and the delta h represents the rolled piece reduction.
Preferably, the specific expression of the rolling force of each stage in step S412 is as follows:
x∈(xF,xE)
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hA～hEThe thickness of the plate belt corresponding to the points A-E is shown, l represents the length of a deformation zone,
preferably, the specific expression of the rolling force of each stage in step S422 is as follows:
wherein x isA～xDRepresenting calculated values of coordinates of points of the first type, hA，hB，hDThe thicknesses of the plate strips corresponding to the points A, B and D are shown, k represents a constant value when the friction force in a rolling contact interface reaches a maximum value, and delta represents a correlation coefficient of the corresponding section
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
Compared with the prior art, the invention has the following advantages:
1. the invention can accurately calculate the rolling force in rolling, and find the deviation between the actual rolling force and the set rolling force in field production in time to control and adjust the roller.
2. The invention improves the problem of plate and strip vibration in the rolling process caused by improper rolling force through stable control of the rolling force, thereby improving the quality of the plate and strip, prolonging the service life of rolling mill equipment, saving cost and correspondingly reducing unnecessary energy waste.
3. The invention combines theoretical research and actual production, is a representative form of a production and study system, and has more efficient production and more pertinence and practicability in research.
Drawings
FIG. 1 is a distribution diagram of a first type of lower unit friction along a contact arc in a roll gap control method based on mechanical parameters on a rolling interface segment model according to the present invention;
FIG. 2 is a distribution diagram of unit friction along the contact arc under a second type in the roll gap control method based on mechanical parameters on a rolling interface segment model according to the present invention;
FIG. 3 is a distribution diagram of unit friction along the contact arc under a third type in the roll gap control method based on mechanical parameters on a rolling interface segment model according to the present invention;
FIG. 4 is a flowchart of a roll gap control method based on mechanical parameters on a rolling interface segment model according to the present invention.
Detailed Description
The invention will be described in detail with reference to the accompanying drawings for describing the technical content, the achieved purpose and the efficacy of the invention.
As shown in FIG. 4, the method is mainly based on the mechanical parameters on the rolling contact interface section model to calculate, solve the dynamic contact parameters and unit rolling pressure of the dynamic rolling contact interface, and provide the control variation of the rolling reduction according to the calculation result, thereby improving the rolling stability and the product quality. In a preferred embodiment of the present invention, the roll gap control method based on mechanical parameters on a rolling contact interface segment model comprises the following steps:
and S1, dividing the rolling deformation zone into different deformation zone micro-elements according to the friction characteristics of the rolling contact interface according to the thickness of the rolled piece and the length of the deformation zone.
And S2, establishing a volume expression of metal flow of the rolled piece in the rolling contact interface according to the infinitesimal body of the rolling deformation area, and obtaining the horizontal speed of each point of the rolled piece along the contact arc of the roller on the rolling contact interface.
S3, according to the contact arc length l on the rolling contact interface and the average thickness of the rolled piece
The rolling contact interface is divided into sections and the unit rolling pressure in each section is calculated.
S4, respectively obtaining the total rolling force P corresponding to the first type, the second type and the third type according to the unit rolling force calculated in the steps S32 to S34i(i＝1,2,3)。
S5, calculating the total rolling force P in the step S4iThe value of (i is 1,2,3) is compared with the value of the set allowable deviation range e, dynamic adjustment is carried out, and e is determined according to the use environment and different purposes.
Further, the method for obtaining the horizontal velocity of the product along each point of the contact arc of the roll at the rolling contact interface in step S2 includes:
s21, solving the neutral angle of the rolled piece along the rolling contact interface according to the rolling theory, wherein the specific expression is as follows:
wherein mu is a friction coefficient, delta h is the rolling reduction of a rolled piece, and R is the radius of the roller.
S22, obtaining a contact arc function of the rolled piece according to the geometric distribution state characteristics of the rolling contact interface, wherein the specific expression is as follows:
hx＝2zx
wherein h isBIs the thickness of the rolled piece outlet, R is the roll radius, and x is the abscissa of any position on the contact interface of the rolled piece and the roll.
S23, calculating the thickness of the rolled piece at the neutral point of the rolling contact interface according to the geometrical parameter characteristics of the rolled piece, wherein the specific expression is as follows:
wherein h isBAnd R is the radius of the roller, and gamma is the dynamic neutral angle of the rolling contact interface.
Further, the method for obtaining the unit rolling pressure in each section of the rolling contact interface in the step S3 includes,
s31, according to the rolling theory, the contact arc length l and the average thickness of the rolled piece
Is greater than 5 is set as a first type; will contact arc length l and average thickness of the product
A ratio of (A) to (B) between 2 and 5 is set to a second type; will contact arc length l and average thickness of the productIs set to be of the third type if the ratio of (A) to (B) is less than 2.
Further, for better description of the first type, as shown in fig. 1, the thicknesses at points a and B are set to be the entrance thickness of the rolled piece and the exit thickness of the rolled piece, respectively; the AC section and the BD section are sliding areas, the CE section and the DF section are braking areas, and the EF section is a stagnation area.
As shown in fig. 2, the thicknesses at the points a and B are set to be the inlet thickness of the rolled piece and the outlet thickness of the rolled piece, respectively; the AC section and the BD section are sliding areas, and the CD section is a stagnation area.
As shown in fig. 3, the thicknesses at the points a and B are set to be the inlet thickness of the rolled piece and the outlet thickness of the rolled piece, respectively; the AB section is a stagnation area.
S32, calculating the unit rolling pressure of each section of the deformation area of the first type of rolled piece:
ˉ
s321, dividing a deformation area of the rolled piece into a front sliding area, a rear sliding area, a braking area and a stagnation area according to the state of the contact friction force between the rolled piece and a roller when the ratio of the contact arc length l to the average thickness h of the rolled piece is greater than 5 on a rolling contact interface.
S322, according to the length of the deformation zone in the step S321, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling force of the BD interval of the front sliding area is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hBCorresponding to the thickness of the rolled piece at the entry of the rolling interface, hxThe thickness of the plate belt at any position of the front sliding area is shown, and delta represents the correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
the specific expression of the unit rolling force of the back sliding area AC interval is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hARolling boundary of corresponding backward sliding zoneThickness of rolled stock at face exit hxExpressing the thickness of the plate belt at any position, and delta expressing the correlation coefficient of the corresponding section
Mu represents the friction coefficient, and theta represents the included angle between the corresponding chord and the central line of the rolled piece.
Specific expressions of the unit rolling force in the braking areas CE and DF are respectively as follows:
and a CE section:
and (3) DF section:
where k represents a constant value at which the frictional force reaches a maximum value, hC,hDThe thickness h of the rolled piece at the position corresponding to the point position of the C, D point of the braking areaxThe thickness of the plate belt at any position in the braking area is shown, delta represents the correlation coefficient of the corresponding section,
mu represents the friction coefficient, and theta represents the included angle between the corresponding chord and the central line of the rolled piece.
The specific expression of the unit rolling force in the EF interval of the stagnation area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxTo correspond to the thickness of the rolled piece at any position in the stagnation zone, pERepresents the stress value of E point of a rolling interface, hEDenotes E-point corresponding to the thickness of the plate strip, hndRepresenting the product thickness at the neutral point of the rolling contact interface.
S33, calculating the unit rolling pressure of each section of the rolled piece deformation area in the second type:
s331, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the rolling piece to the rolling roller is between 2 and 5, the deformation area of the rolling piece is divided into a front sliding area, a rear sliding area and a stagnation area;
s332, according to the length of the deformation zone in the step S331, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling pressure of the BD interval of the front sliding area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxCorresponding to the thickness of the rolled piece at any position in the front sliding area, hBRepresenting the thickness of the corresponding plate strip at the position B of the rolling interface entrance;
the specific expression of the unit rolling pressure of the back sliding area AC interval is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is friction coefficient, theta is corresponding chord and rolled pieceAngle of center line, hxTo correspond to the thickness of the rolled piece at any position in the backward sliding area, hAThe thickness of the plate strip corresponding to the point A at the outlet position of the rolling interface is shown;
the specific expression of the unit rolling pressure in the CD interval of the stagnation area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThickness p of rolled piece at any position corresponding to stagnation areaCDenotes the stress value of C point, hndExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hCDenotes C-point corresponding plate strip thickness, pCAnd representing the stress value of the C point of the rolling interface.
S34, calculating the unit rolling pressure of each section of the rolled piece deformation area in the third type:
in step S34, the contact arc length l and the average thickness of the product are determined based on the rolling contact interface
When the ratio of the rolling piece to the roller is less than 2, calculating the unit rolling force of a stagnation area AB in the third type, wherein the specific expression is as follows:
wherein l represents the length of the deformation zone,
k represents a constant value at which the frictional force reaches a maximum value; delta denotes the correlation coefficient of the corresponding segment
μ represents a friction coefficient; theta represents the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hAIndicating that point a corresponds to the strip thickness at the exit location of the rolling interface.
In particular, the first type of stagnation zone EF interval has a contact arc length lEFThe specific expression of (A) is as follows:
wherein h isEIs the thickness of the rolled stock when x is equal to l/2, thetaENThe included angle between the contact arc at any position of the stagnation area and the horizontal plane.
In particular, the dwell zone CD interval contact arc length l in the second typeCDThe specific expression of (A) is as follows:
wherein h isCIs that coordinate x is equal to
Thickness of strip at rolling contact interface, thetaCNRepresenting the included angle between the contact arc at any position of the stagnation area and the horizontal plane; h isndThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
Further, in step S4, the total rolling force P corresponding to each type is obtainediThe specific implementation process of (i ═ 1,2 and 3) is as follows:
s41, obtaining the first type total rolling force P according to the unit rolling force obtained in the step S321；
S411, calculating the coordinates corresponding to the points A-F of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xFAnd (3) representing the coordinate calculation value of each point in the first type, wherein l is the contact arc length, R is the radius of the working roll, deltah represents the plate strip reduction, and mu represents the friction coefficient of a rolling interface.
S412, summing the rolling forces of the sections obtained in the step S32 to obtain the total rolling force P under the first rolling contact interface type1The specific expression is as follows:
wherein p isxRepresents the unit rolling force of arbitrary segment, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCE，PDFIs the unit rolling force of the braking zone, PEFIs the unit rolling force of the stagnation zone.
Further, the specific expression of each section of rolling force is as follows:
x∈(xF,xE)
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hA～ hEThe thickness of the plate belt corresponding to the points A-E is shown, l represents the length of a deformation zone,
s42, obtaining the total rolling force P of the second type of rolling contact interface type according to the unit rolling force obtained in the step S332：
S421, calculating the coordinates corresponding to the points A-D of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xDAnd (3) representing the coordinate calculation value of each point in the first type, wherein l is the contact arc length, R is the radius of the working roll, deltah represents the plate strip reduction, and mu represents the friction coefficient of a rolling interface.
S422, summing the rolling forces of the sections obtained in the step S33 to obtain the total rolling force P under the second rolling contact interface type2The specific expression is as follows:
wherein p isxRepresents the unit rolling force of arbitrary segment, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCDIs the unit rolling force of the stagnation region, PEFIs the unit rolling force of the stagnation zone.
Further, the specific expression of the rolling force of each stage in S422 is as follows:
wherein x isA～xDRepresenting calculated values of coordinates of points of the first type, hA，hB，hDThe A, B and D points are expressed as the thicknesses of the corresponding plate strips, k is a constant value when the friction force reaches a maximum value in a rolling contact interface, and delta is a correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece; h isxThe thickness h of the rolled piece at any position corresponding to the stagnation areandThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
S43, obtaining the total rolling force P of the third type of rolling contact interface according to the unit rolling force obtained in the step S343：
S431, calculating the corresponding coordinates of each segmented area point AB, wherein the specific expression is as follows:
xA＝l
xB＝0
s432, summing the rolling forces of all the sections obtained in the step S34 to obtain the total rolling force P under the third rolling contact interface type3The specific expression is as follows:
wherein h isxIndicates the thickness of the strip at any position, dhxThe thickness change rate of any position is shown, theta represents the included angle between the corresponding chord and the central line of the rolled piece, mu represents the friction coefficient of the rolling interface, and hndAnd k represents a constant value when the friction force reaches a maximum value, namely the thickness of a neutral plane of the plate strip.
Further, the dynamic adjustment in step S5 includes the following specific steps:
s51, if | PIs provided withWhen P < e, the roller control is not needed;
s52, if | PIs provided with-P | > e and PIs provided withIf the total rolling force is larger, the new outlet thickness value of the rolled piece is h'B＝95％hBH 'is prepared by controlling the roll reduction'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided with-P | < e; if the calculated total rolling force is larger, the new outlet thickness value of the rolled piece is increased by 5 percentH 'controlling the roll lifting'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided with-P | < e. H at this timeBThe value is the final value to which the final roll should be adjusted.
The roll gap control method based on the mechanical parameters on the rolling interface section model is further described with reference to the following embodiments:
the input rolling parameters were determined as shown in table 1.
TABLE 1 Rolling parameter values
The specific implementation process is as follows:
and S1, according to the thickness of the rolled piece and the length of the deformation zone in the embodiment, the rolling deformation zone is divided into different deformation zone micro-elements according to the friction characteristics of the rolling contact interface.
And S2, establishing a volume expression of metal flow of the rolled piece in the rolling contact interface according to the infinitesimal body of the rolling deformation area, and obtaining the horizontal speed of each point of the rolled piece along the contact arc of the roller on the rolling contact interface.
S3, according to the outlet thickness and the inlet thickness, taking the average value of the outlet thickness and the inlet thickness to obtain the average thickness of the rolled piece, namely (h)A+hB) 11.5mm is defined as/2; the length of the deformation zone of the rolled piece is as follows:
according to the contact arc length l and the average thickness of the rolled piece on the rolling contact interface
The rolling contact interface is divided into sections and the unit rolling pressure in each section is calculated.
S31, obtaining the contact arc length l and the average thickness of the rolled piece according to the rolling theory
Is 4.66, the second type is judged. As shown in fig. 2, the thicknesses at the points a and B are set to be the inlet thickness of the rolled piece and the outlet thickness of the rolled piece, respectively; the AC section and the BD section are sliding areas, and the CD section is a stagnation area.
S33, calculating the unit rolling pressure of each section of the rolled piece deformation area in the second type:
s331, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the rolling piece to the rolling roller is between 2 and 5, the deformation area of the rolling piece is divided into a front sliding area, a rear sliding area and a stagnation area;
s332, according to the length of the deformation zone in the step S331, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling pressure of the BD interval of the front sliding area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxCorresponding to the thickness of the rolled piece at any position in the front sliding area, hBIndicating that point B corresponds to the strip thickness.
The specific expression of the unit rolling pressure of the back sliding area AC interval is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxTo correspond to the thickness of the rolled piece at any position in the backward sliding area, hAIndicating that point a corresponds to the strip thickness.
The specific expression of the unit rolling pressure in the CD interval of the stagnation area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThickness p of rolled piece at any position corresponding to stagnation areaCDenotes the stress value of C point, hndExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hCIndicating that point C corresponds to the strip thickness.
S4, respectively obtaining the total rolling force P corresponding to the first type, the second type and the third type according to the unit rolling force calculated in the steps S32 to S34i(i＝1,2,3)。
S42, obtaining the total rolling force P of the second type of rolling contact interface type according to the unit rolling force obtained in the step S332；
S421, calculating the coordinates corresponding to the points A-D of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xDAnd (3) representing the coordinate calculation value of each point in the first type, wherein l is the contact arc length, R is the radius of the working roll, deltah represents the plate strip reduction, and mu represents the friction coefficient of a rolling interface.
S422, summing the rolling forces of the sections obtained in the step S33 to obtain the total rolling force P under the second rolling contact interface type2The specific expression is as follows:
wherein p isxRepresents the unit rolling force of arbitrary segment, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCDIs the unit rolling force of the stagnation region, PEFIs the unit rolling force of the stagnation zone.
Wherein x isA～xDRepresenting calculated values of coordinates of points of the first type, hA，hB，hDThe A, B and D points are expressed as the thicknesses of the corresponding plate strips, k is a constant value when the friction force reaches a maximum value in a rolling contact interface, and delta is a correlation coefficient of the corresponding section
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandShow rolling contactThe contact interface plate has a neutral surface thickness.
S5, it is determined whether the difference between the set value and the calculated value of the total rolling force is within the allowable range e (in this embodiment, e is 5% P). Judgment of | PIs provided with-P|＜5％PIs provided withIf the roll is not adjusted, the process is ended and the roll is not required to be adjusted; if not, judging PIs provided withIf > P is true, h isB295% hB as new hBSubstituting the steps and carrying out calculation again until the end; if PIs provided withIf P is not satisfied, h B2105% hB as new hBAnd substituting the steps and carrying out calculation again until the end. At the end of hB2The value of (a) is the outlet thickness value of the rolled piece, (h)B2-hB1) Is the adjustment amount of the roller.
According to the embodiment, the rolling force with higher precision is obtained by optimizing and solving the rolling force solution model; based on the rolling force feedback control theory, the rolling force is corrected, and the load stability of a rolling interface in the rolling process is ensured. The invention can ensure the stability of the technological parameters in the rolling process, thereby improving the production precision and the production efficiency of the strip.
The above-mentioned embodiments are merely illustrative of the preferred embodiments of the present invention, and do not limit the scope of the present invention, and various modifications and improvements made to the technical solution of the present invention by those skilled in the art without departing from the spirit of the present invention shall fall within the protection scope defined by the claims of the present invention.
Claims (8)
1. A roll gap control method based on mechanical parameters on a rolling contact interface segmentation model is characterized by comprising the following specific implementation steps:
s1, dividing the rolling deformation zone into different deformation zone micro-elements according to the friction characteristics of the rolling contact interface according to the thickness of the rolled piece and the length of the deformation zone;
s2, establishing a volume expression of metal flow of the rolled piece in the rolling contact interface according to the infinitesimal body of the rolling deformation area, and obtaining the horizontal speed of each point of the rolled piece along the contact arc of the roller on the rolling contact interface;
s21, solving the neutral angle of the rolled piece along the rolling contact interface, wherein the specific expression is as follows:
wherein mu is the friction coefficient of a rolling interface, delta h is the rolling reduction of a rolled piece, and R is the radius of the roller;
s22, obtaining a contact arc function of the rolled piece according to the geometric distribution state characteristics of the rolling contact interface, wherein the specific expression is as follows:
hx＝2zx
wherein z isxRepresenting contact arc function, dhxRepresents the thickness change rate at an arbitrary position, hBThe thickness of the rolled piece outlet, R is the radius of the roller, and x is the abscissa of any position on the contact interface of the rolled piece and the roller;
s23, calculating the thickness of the rolled piece at the neutral point of the rolling contact interface according to the geometrical parameter characteristics of the rolled piece, wherein the specific expression is as follows:
wherein h isBThe thickness of a rolled piece after rolling, R is the radius of a roller, and gamma is a dynamic neutral angle of a rolling contact interface;
s3, according to the contact arc length l on the rolling contact interface and the average thickness of the rolled piece
The rolling contact interface is divided into sections and the unit rolling pressure in each section is calculated according to the specific value of the rolling contact interface;
s31, according to the rolling theory, the contact arc length l and the average thickness of the rolled piece
Is greater than 5 is set as a first type; will contact arc length l and average thickness of the product
A ratio of (A) to (B) between 2 and 5 is set to a second type; will contact arc length l and average thickness of the product
Is set to be of a third type if the ratio of (A) to (B) is less than 2;
s32, calculating the unit rolling pressure of each section of the deformation area of the first type of rolled piece;
s33, calculating the unit rolling pressure of each section of the deformation area of the second type of rolled piece;
s34, unit rolling pressure of each section of a rolled piece deformation area in the third type is calculated;
s4, respectively obtaining the total rolling force P corresponding to the first type, the second type and the third type according to the unit rolling force calculated in the steps S32 to S34i(i＝1,2,3)；
S41, obtaining the first type total rolling force P according to the unit rolling force obtained in the step S321；
S411, calculating the coordinates corresponding to the points A-F of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xFThe coordinate calculation value of each point in the first type is shown, l is the contact arc length, R is the radius of the working roll, delta h represents the plate strip rolling reduction, and mu represents the friction coefficient of a rolling interface;
s412, summing the rolling forces of the sections obtained in the step S32 to obtain the total rolling force P under the first rolling contact interface type1The specific expression is as follows:
wherein p isxDenotes the unit rolling force in an arbitrary section, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCE，PDFIs the unit rolling force of the braking zone, PEFIs the unit rolling force of the stagnation zone;
s42, obtaining the total rolling force P of the second type of rolling contact interface type according to the unit rolling force obtained in the step S332；
S421, calculating the corresponding coordinates of the points A-F of each segmented area, wherein the specific expression is as follows:
xB＝0
xA＝l
wherein x isA～xDThe coordinate calculation values of points A-D in the first type are represented, wherein l is the contact arc length, R is the radius of a working roll, delta h represents the plate strip rolling reduction, and mu represents the friction coefficient of a rolling interface;
s422, summing the rolling forces of the sections obtained in the step S33 to obtain the total rolling force P under the second rolling contact interface type2The specific expression is as follows:
wherein p isxRepresents the unit rolling force of arbitrary segment, PACIs the unit rolling force of the forward sliding zone, PBDIs the specific rolling force, P, of the backward sliding zoneCDIs the unit rolling force of the stagnation region, PEFIs the unit rolling force of the stagnation zone;
s43, obtaining the total rolling force P of the third type of rolling contact interface according to the unit rolling force obtained in the step S343；
S431, calculating the corresponding coordinates of each segmented area point AB, wherein the specific expression is as follows:
xA＝l
xB＝0；
s432, summing the rolling forces of all the sections obtained in the step S34 to obtain the total rolling force P under the third rolling contact interface type3The specific expression is as follows:
wherein h isxIndicates the thickness of the strip at any position, dhxShows the thickness change rate at any position, and theta represents the corresponding chord and rollAngle of the center line of the piece, mu represents the friction coefficient of the rolling interface, hndThe thickness of a neutral surface of the plate strip is shown, and k represents a constant value when the friction force reaches a maximum value;
s5, calculating the total rolling force P in the step S4iComparing the value of (i is 1,2 and 3) with the set allowable deviation range e value, and dynamically adjusting;
s51, if | PIs provided withWhen P < e, the roller control is not needed;
s52, if | PIs provided with-P | > e and PIs provided withIf the total rolling force is larger, the new outlet thickness value of the rolled piece is h'B＝95％hBH 'is prepared by controlling the roll reduction'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided with-P | < e; if the calculated total rolling force is larger, increasing the new outlet thickness value of the rolled piece by 5 percent, namely controlling the lifting of the roller and h'BReplacement of hBSubstituted into the above steps S3 to S4, recalculated until | PIs provided withP < e, in this case hBThe value is the final value to which the final roll should be adjusted.
2. The roll gap control method based on mechanical parameters of a rolling contact interface segment model according to claim 1, wherein the step S32 specifically comprises the following steps:
s321, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the front sliding area to the rear sliding area is greater than 5, the deformation area of the rolled piece is divided into a front sliding area, a rear sliding area, a braking area and a stagnation area;
s322, according to the length of the deformation zone in the step S321, the unit rolling force of each section of the deformation zone of the rolled piece is obtained:
the specific expression of the unit rolling force of the BD interval of the front sliding area is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hBCorresponding to the thickness of the rolled piece at the entry, hxExpressing the thickness of the plate belt at any position, and delta expressing the correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
the specific expression of the unit rolling force of the back sliding area AC interval is as follows:
where k represents a constant value at which the frictional force reaches a maximum value, hACorresponding to the thickness of rolled piece at the outlet of rolling interface hxExpressing the thickness of the plate belt at any position, and delta expressing the correlation coefficient of the corresponding section
Mu represents the friction coefficient, theta represents the included angle between the corresponding chord and the central line of the rolled piece;
specific expressions of the unit rolling force in the braking areas CE and DF are respectively as follows:
and a CE section:
and (3) DF section:
where k represents a constant value at which the frictional force reaches a maximum value, hC,hDCorresponding to the rolled piece thickness h at the dividing point C, D of the braking zonexThe thickness of the plate belt at any position of the braking area is shown, and delta represents the correlation of the corresponding sectionThe coefficients of which are such that,
mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hndRepresenting the thickness of a neutral surface of a rolling contact interface plate strip;
the specific expression of the unit rolling force in the EF interval of the stagnation area is as follows:
wherein k represents a constant value when the friction force in the rolling contact interface reaches the maximum value, mu represents a friction coefficient, theta represents an included angle between a corresponding chord and the central line of the rolled piece, and h representsxTo correspond to the thickness of the rolled piece at any position in the stagnation zone, pERepresents the corresponding rolling stress value h of the E pointEDenotes E-point corresponding to the thickness of the plate strip, hndThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
3. The roll gap control method based on mechanical parameters of a rolling contact interface segment model according to claim 1, wherein the step S33 specifically comprises the following steps:
s331, according to the length l of the contact arc and the average thickness of the rolled piece on the rolling contact interface
When the ratio of the rolling piece to the rolling roller is between 2 and 5, the deformation area of the rolling piece is divided into a front sliding area, a rear sliding area and a stagnation area;
s332, calculating the unit rolling force of each section of the deformation area of the rolled piece according to the length of the deformation area in the step S331;
the specific expression of the unit rolling pressure of the BD interval of the front sliding area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxCorresponding to the thickness of the rolled piece at any position in the front sliding area, hBRepresenting the plate belt thickness of the corresponding inlet of the B point;
the specific expression of the unit rolling pressure of the back sliding area AC interval is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxTo correspond to the thickness of the rolled piece at any position in the backward sliding area, hAThe thickness of the outlet plate strip corresponding to the A point is shown;
the specific expression of the unit rolling pressure in the CD interval of the stagnation area is as follows:
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hCRepresents a pair of C pointsThe thickness of the corresponding plate strip.
4. The roll gap control method based on mechanical parameters of a rolling contact interface segment model according to claim 1 or 2, characterized in that the contact arc length l of the EF interval of the first type middle stagnation areaEFThe specific expression of (A) is as follows:
wherein h isEIs the thickness of the rolled stock when x is equal to l/2, thetaENThe included angle between the contact arc at any position of the stagnation area and the horizontal plane.
5. Method for controlling a roll gap based on mechanical parameters of a segmented model of a rolling contact interface according to claim 1 or 3, characterized in that the contact arc length l of the CD interval of the second type of intermediate stagnation zoneCDThe specific expression of (A) is as follows:
wherein h isCIs that coordinate x is equal to
Thickness of strip at rolling contact interface, thetaCNRepresenting the included angle between the contact arc at any position of the stagnation area and the horizontal plane; h isndThe thickness of the neutral plane of the rolling contact interface plate strip is shown.
6. The roll gap control method based on mechanical parameters of a segmented model of a rolling contact interface as set forth in claim 1, wherein in step S34, the contact arc length l and the average thickness of the rolled product are determined according to the mechanical parameters of the rolling contact interface
When the ratio of the rolling piece to the roller is less than 2, calculating the unit rolling force of a stagnation area AB in the third type, wherein the specific expression is as follows:
wherein l represents the length of the deformation zone,
k represents a constant value at which the frictional force reaches a maximum value; delta denotes the correlation coefficient of the corresponding segment
μ represents a friction coefficient; theta represents the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolled contact interface plate strip, hAIndicating that point a corresponds to the strip thickness.
7. The roll gap control method based on mechanical parameters of a rolling contact interface segment model as claimed in claim 1, wherein the specific expression of the rolling force of each segment in the step S412 is as follows:
x∈(xF,xE)
wherein k represents a constant value at which the frictional force reaches a maximum value in the rolling contact interface, and δ represents a correlation coefficient of the corresponding segment
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxThe thickness h of the rolled piece at any position corresponding to the stagnation areandExpressing the thickness of the neutral plane of the rolling contact interface plate strip, pEDenotes the stress value at E point, hA～hEThe thickness of the plate belt corresponding to the points A-E is shown, l represents the length of a deformation zone,
8. the roll gap control method based on mechanical parameters of a rolling contact interface segment model as claimed in claim 1, wherein the specific expression of the rolling force of each segment in the step S422 is:
wherein x isA～xDRepresenting calculated values of coordinates of points of the first type, hA，hB，hDThe thicknesses of the plate strips corresponding to the points A, B and D are shown, k represents a constant value when the friction force in a rolling contact interface reaches a maximum value, and delta represents a correlation coefficient of the corresponding section
Mu is the friction coefficient, theta is the included angle between the corresponding chord and the central line of the rolled piece, hxCorresponding to the thickness of the rolled piece at any position of the corresponding section.
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| 半固态合金强流变轧制单位轧制压力分布的数学模型和理论研究;黄红乾;《半固态合金强流变轧制单位轧制压力分布的数学模型和理论研究》;金属学报;20110311;第37卷(第3期);291-297页 * |
| 柔性轧制成形区对三维曲面件成形结果的影响;李毅;《柔性轧制成形区对三维曲面件成形结果的影响》;吉林大学;20190601;22-40页 * |
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| JP2023017105A (en) | 2023-02-03 |
| CN113500100A (en) | 2021-10-15 |
| JP7212976B1 (en) | 2023-01-26 |
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