CN110991078B - Working roll shape design method capable of reducing axial force - Google Patents
Working roll shape design method capable of reducing axial force Download PDFInfo
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Abstract
The invention discloses a method for designing a roll shape of a working roll capable of reducing axial force, which comprises the following steps: constructing a curve equation of the roll shape of the working roll, wherein a in the equation 1 、a 2 、a 3 And s 0 Respectively are the roll shape coefficients of the working rolls; obtaining structural parameters and rolling parameters of a working roll; presetting a roller profile angle alpha; calculating the roll shape coefficient s from the structural parameters and rolling parameters of the working roll 0 、a 1 And a 3 (ii) a Calculating the roll shape coefficient a by taking the reduction of the axial force of the working roll as a target 2 (ii) a The roll profile curve is formed by 1 、a 2 、a 3 And s 0 The roll form factors of the several work rolls are determined. The invention has the beneficial effects that: the design method provided by the invention obtains the roll shape coefficient by constructing a working roll shape curve equation, based on the working roll structure parameters and the rolling parameters and aiming at reducing the axial force of the working roll, and the working roll shape designed according to the roll shape coefficient can effectively reduce the axial force of the working roll when rolling a rolled piece with a larger width, thereby obviously prolonging the service life of a bearing of the working roll.
Description
Technical Field
The invention belongs to the technical field of rolling, and particularly relates to a method for designing a roll shape of a working roll capable of reducing axial force.
Background
The work roll profile is the most direct factor in rolled piece shape control. At present, the roller shape of a working roller which is applied more is a variable-crown roller shape, as shown in figure 1, the variable-crown roller shape is mainly characterized in that an upper working roller 1 and a lower working roller 2 are ground into the same S shape and are arranged in a reverse symmetry mode, the upper working roller and the lower working roller axially move in an equivalent reverse mode (namely the working rollers shift), the effective crown of the working rollers is continuously adjusted in an electrodeless mode, the shape adjustment of a no-load roller gap is achieved, and the plate shape of a rolled piece 3 is controlled most directly.
However, when rolling a rolled piece with a large width (such as a medium plate, a non-ferrous metal strip and the like), the convexity working roll has the problem that the service life of a bearing of the working roll is too short due to overlarge axial force. As shown in fig. 2, the unit force N between the work rolls and the rolled stock has a component in the axial direction of the work rolls, the cumulative sum of which over the width of the rolled stock is the axial force F, which is obviously mainly related to the width of the rolled stock when the rolling conditions are the same, the greater the width of the rolled stock, the greater the axial force. Therefore, it is important to design a work roll with a small axial force.
Disclosure of Invention
The invention aims to provide a working roll shape design method capable of reducing axial force aiming at the defects of the prior art, and solves the problem that the service life of a working roll bearing is low due to overlarge axial force when a variable-crown working roll rolls a rolled piece with a large width.
The technical scheme adopted by the invention is as follows: a method for designing a roll shape of a working roll capable of reducing axial force comprises the following steps:
step one, constructing a working roll shape curve equation, wherein the working roll shape curve equation is expressed by the axial radius distribution of a working roll, and the roll shape curve equation of an upper working roll is as follows:
the roll profile curve equation of the lower working roll is as follows:
in the above formula, a 1 、a 2 、a 3 And s 0 The roll shape coefficients of the working rolls are respectively, and the unit is not available; alpha is the roller profile angle and the unit is DEG; s is the roll shifting amount in mm; x is the axial abscissa of the working roll and the unit is mm; y is u1 (x)、y b1 (x) The radius of the upper and lower working rolls at the axial abscissa x is respectively, and the unit is mm;
step two, obtaining working roll structure parameters and rolling parameters, wherein the working roll structure parameters comprise a nominal diameter D, a roll body length L and a roll shifting maximum stroke S m The rolling parameters comprise roll shifting quantity s and roll gap secondary convexity range [ C ] 1 ,C 2 ]And width range of rolled piece [ B min ,B max ]The unit of each parameter is mm;
step three, presetting a roller contour angle alpha;
step four, calculating the roll shape coefficient s according to the structural parameters and the rolling parameters of the working roll 0 、a 1 And a 3 ;
Step five, calculating the roll form coefficient a by taking the reduction of the axial force of the working roll as a target 2 The roller-shaped curve is formed by 1 、a 2 、a 3 And s 0 And (4) determining.
According to the scheme, in the fourth step, the roller type coefficient s 0 、a 1 And a 3 The specific calculation method comprises the following steps:
If C 1 =0,C 2 Not equal to 0, then s 0 =s m ,
If C 1 ≠0,C 2 When the value is 0, s 0 =-s m ,
According to the scheme, in the step five, the roller type coefficient a is calculated 2 The specific method comprises the following steps:
(1) establishing a work roll axial force calculation modelThe work roll axial force can be expressed asIn the formula p 0 Rolling force per unit width, in KN/mm, processed as a constant in the design calculation, R-axial force coefficient,
(2) determining a 2 Value range (K) of 1 ,K 2 ) If a 1 If greater than 0, thenIf a 1 If less than 0, then
(3) A is prepared by 2 The value range of (a) is divided into N equal parts to obtain a series of a 2 Value, i th a 2 The value can be expressed as
(4) For each a 2 The value is in the range of roll shifting [ -s ] m ,s m ]And the width B of the strip min ,B max ]Internally calculating the maximum value R of the corresponding axial force coefficient R max ;
(5) Comparing differences a 2 Value (a) 2 (1)、a 2 (2)、a 2 (3)…a 2 (i)…a 2 (N-1)) the maximum value R of the axial force coefficient R max (R max (1)、R max (2)、R max (3)…R max (i)…R max (N-1)), finding out the smallest R max The minimum R max Corresponding to a 2 The value is the result.
According to the scheme, in the step five (4), the maximum value R of the corresponding axial force coefficient R is calculated max The specific method comprises the following steps:
a. calculating extreme points and boundary value points, wherein the extreme points comprise:
wherein k is 1 、k 2 Is an integer, and B e [ B ∈ [ ] min ,B max ],s∈[-s m ,s m ];
The boundary value points include:
b. calculating the axial force coefficient R corresponding to the B and s values, and comparing the values, wherein the maximum R value is the value of the a 2 Value condition in roll shifting range [ -s ] m ,s m ]And strip width range [ B min ,B max ]Maximum value R of inner R max 。
According to the scheme, in the third step, the value range of the preset roller profile angle alpha is 0-180 degrees.
The beneficial effects of the invention are as follows: the design method provided by the invention obtains the roll shape coefficient by constructing the roll shape curve equation of the working roll, based on the structural parameters and the rolling parameters of the working roll and aiming at reducing the axial force of the working roll, and the working roll obtained according to the roll shape coefficient can effectively reduce the axial force of the working roll when rolling a rolled piece with larger width, thereby obviously prolonging the service life of the bearing of the working roll.
Drawings
FIG. 1 is a schematic view of a roll profile and roll shifting of a variable crown work roll.
FIG. 2 is a schematic view of the axial force of a variable crown work roll.
FIG. 3 is a flow chart of the present invention.
FIG. 4 is a graph showing the reduction of the work load calculated in the present embodimentAs a difference in roll axial force 2 Value of R max And (6) comparing.
Fig. 5 is a graph showing the roll profile of the upper work roll calculated in this example.
Wherein: 1. an upper work roll; 2. a lower working roll; 3. and (5) rolling pieces.
Detailed Description
For a better understanding of the present invention, reference is made to the following detailed description taken in conjunction with the accompanying drawings.
A method for designing a roll shape of a work roll capable of reducing axial force as shown in fig. 3 comprises the following steps:
step one, constructing a working roll shape curve equation, wherein the working roll shape curve equation is expressed by the axial radius distribution of a working roll, and the roll shape curve equation of an upper working roll is as follows:
the roll profile curve equation of the lower working roll is as follows:
in the above formula, a 1 、a 2 、a 3 And s 0 The roll shape coefficients of the working rolls are respectively, and the unit is not available; alpha is the roller profile angle and the unit is DEG; s is the roll shifting amount in mm; x is the axial abscissa of the working roll and the unit is mm; y is u1 (x)、y b1 (x) The radii of the upper and lower work rolls, respectively, at the axial abscissa x, are in mm.
Step two, obtaining working roll structure parameters and rolling parameters, wherein the working roll structure parameters comprise a nominal diameter D, a roll body length L and a roll shifting maximum stroke S m The rolling parameters comprise roll shifting quantity s and roll gap secondary convexity range [ C ] 1 ,C 2 ]And width range of rolled piece [ B min ,B max ](ii) a The units of the above parameters are mm.
Step three, presetting a roller profile angle alpha, wherein alpha is more than 0 and less than 180 degrees.
Step four, calculating the roll shape coefficient s according to the structural parameters and the rolling parameters of the working roll 0 、a 1 And a 3 The method specifically comprises the following steps:
If C 1 =0,C 2 Not equal to 0, then s 0 =s m ,
If C 1 ≠0,C 2 When the value is 0, s 0 =-s m ,
Step five, calculating the roll form coefficient a by taking the reduction of the axial force of the working roll as a target 2 The method specifically comprises the following steps:
(1) establishing a working roll axial force calculation model, wherein the working roll axial force can be expressed as:
in the above formula, p 0 The rolling force is the unit width, the unit is KN/mm, and the rolling force is processed according to a constant in the design calculation; r is the coefficient of axial force,
(3)、a 2 Dividing the value range of (a) into N equal parts to obtain a series of a 2 Value, i th a 2 The value can be expressed as
(4) Each a 2 The value is in the range of roll shifting [ -s ] m ,s m ]And the width B of the strip min ,B max ]Internally calculating the maximum value R of the corresponding axial force coefficient R max :
a. Calculating extreme points and boundary value points, wherein the extreme points comprise:
wherein k is 1 、k 2 Is an integer, and B e [ B ∈ [ ] min ,B max ],s∈[-s m ,s m ];
The boundary value points include:
b. calculate the above groups B andthe axial force coefficient R value corresponding to the s value is compared with the s value, wherein the maximum R value is the value of the a 2 Value condition in roll shifting range [ -s ] m ,s m ]And strip width range [ B min ,B max ]Maximum value R of inner R max ;
(5) Comparing a different 2 Value (a) 2 (1)、a 2 (2)、a 2 (3)…a 2 (i)…a 2 (N-1)) the maximum value R of the axial force coefficient R max (R max (1)、R max (2)、R max (3)…R max (i)…R max (N-1)), finding out the smallest R max The minimum R max Corresponding to a 2 The value is the result; the roll profile curve is formed by 1 、a 2 、a 3 And s 0 The roll form factors of the several work rolls are determined.
Examples
In order to further illustrate the practicability of the method, the method is adopted to obtain the working roll profile curve meeting the site requirement of a certain steel mill.
The site requirements of a certain steel mill are as follows: the structural parameters of the working roll are that the nominal diameter D is 580mm, the roll body length L is 2200, and the maximum roll shifting stroke S m 225mm, and the rolling parameter condition is the lower limit C of the secondary crown of the roll gap 1 0.4mm, upper limit C 2 0.5mm, minimum width range B of rolled piece min 900mm, maximum width B max 1600 mm; in addition, the preset roll profile angle α is 90 °.
Roll shape coefficient s calculated by working roll structure parameter, rolling parameter and preset roll contour angle 0 =-25.886、a 1 =-0.713、a 3 =290.026。
Calculating the roll shape coefficient a by taking the reduction of the axial force of the working roll as a target 2 The specific process is as follows:
1、a 2 has a value range of (0,0.00102), namely K 1 =0,K 2 0.00102, the range is divided into 10000 equal parts (N is 10000), and 9999 a are obtained 2 Value of i, then the ith a 2 The value can be expressed as a 2-1 (i)=1.02×10 -7 i,i=1、2、3...9999;
2. For each a 2 The value is in the range of roll-shifting [ -225,225]And strip width range [900,1600]Internally calculating the maximum value R of the corresponding axial force coefficient R max . For convenience of description, only the 5000 th a is used here 2 The values are illustrated as examples: a is 2 (5000)=5.1×10 -4 The axial force coefficients R at the extreme point and the boundary point are 0.2384, 0.2329, 0.117, 0.131, 0.16 and 0.185 respectively, so a 2 (5000) Corresponding R max =0.2384;
3. All a are 2 Value of R max Calculated and compared to find the smallest R among them, as shown in fig. 4 max Corresponding to a 2 The value is the result. The roll shape coefficient a thus calculated with the aim of reducing the axial force of the work rolls 2 A value of a 2 =8.277×10 -4 At this time, the corresponding R max Minimum, 0.01202.
The overall roll profile factor a of the roll profile curve of the work roll satisfying the above-mentioned field requirements has been calculated 1 、a 2 、a 3 And s 0 The obtained upper work roll profile curve is shown in fig. 5, in which the actual roll shifting amount s is 0.
As can be seen from the above working roll axial force formula, the smaller the axial force coefficient R, the smaller the working roll axial force F 2 The smaller. For all the working roll profile curves, when the maximum value R of the axial force coefficient R corresponding to a certain working roll profile curve max At the minimum, the working roll profile (in the embodiment, a) can be ensured for all rolling conditions (including roll shifting amount and rolled piece width) 2 =8.277×10 -4 Corresponding curve) is small. The statistical data of field production shows that the working roll shape designed by the method of the embodiment of the invention has obviously prolonged service life of the working roll bearing because the axial force of the working roll is effectively reduced.
It should be noted that the above-mentioned embodiments are only preferred embodiments of the present invention, and the present invention is not limited thereto, and although the present invention has been described in detail with reference to the embodiments, it will be apparent to those skilled in the art that modifications can be made to the technical solutions described in the above-mentioned embodiments, or equivalent substitutions of some technical features, but any modifications, equivalents, improvements and the like within the spirit and principle of the present invention shall be included in the protection scope of the present invention.
Claims (4)
1. A method for designing a roll shape of a working roll capable of reducing axial force is characterized by comprising the following steps:
step one, constructing a working roll shape curve equation, wherein the working roll shape curve equation is expressed by the axial radius distribution of a working roll, and the roll shape curve equation of an upper working roll is as follows:
the roll profile curve equation of the lower working roll is as follows:
in the above formula, a 1 、a 2 、a 3 And s 0 The roll shape coefficients of the working rolls are respectively, and the unit is not available; alpha is the roller profile angle and the unit is DEG; s is the roll shifting amount in mm; x is the axial abscissa of the working roll and the unit is mm; y is u1 (x)、y b1 (x) The radius of the upper and lower working rolls at the axial abscissa x is respectively, and the unit is mm;
step two, obtaining working roll structure parameters and rolling parameters, wherein the working roll structure parameters comprise a nominal diameter D, a roll body length L and a roll shifting maximum stroke S m The rolling parameters comprise roll shifting quantity s and roll gap secondary convexity range [ C ] 1 ,C 2 ]And range of rolled piece width B min ,B max ]The unit of each parameter is mm;
step three, presetting a roller contour angle alpha;
step four, calculating the roll shape coefficient s according to the structural parameters and the rolling parameters of the working roll 0 、a 1 And a 3 ;
Step five, calculating the roll form coefficient a by taking the reduction of the axial force of the working roll as a target 2 (ii) a The roll profile curve is formed by 1 、a 2 、a 3 And s 0 Determining;
calculating the roll form factor a 2 The specific method comprises the following steps:
(1) establishing a working roll axial force calculation model, wherein the working roll axial force can be expressed asIn the formula p 0 Rolling force per unit width, in KN/mm, processed as a constant in the design calculation, R-axial force coefficient,
(3) A is to 2 The value range of (a) is divided into N equal parts to obtain a series of a 2 Value, i th a 2 The value can be expressed as
(4) For each a 2 The value is in the range of roll shifting [ -s ] m ,s m ]And range of rolled piece width B min ,B max ]Internally calculating the maximum value R of the corresponding axial force coefficient R max ;
(5) Comparing differences a 2 Maximum value R of axial force coefficient R corresponding to the value max Finding the smallest R max The minimum R max Corresponding to a 2 The value is the result.
3. The method of claim 1, wherein in step five (4), the maximum value R of the corresponding axial force coefficient R is calculated max The specific method comprises the following steps:
a. calculating extreme points and boundary value points, wherein the extreme points comprise:
wherein k is 1 、k 2 Is an integer, and B e [ B ∈ [ ] min ,B max ],s∈[-s m ,s m ];
The boundary value points include:
b. calculating the axial force coefficient R value corresponding to each group B and s value, and comparing the values, wherein the maximum R value is the value of the a 2 Value condition in roll shifting range [ -s ] m ,s m ]And strip width range [ B min ,B max ]Maximum value R of inner R max 。
4. The method for designing a roll profile of a work roll capable of reducing axial force according to claim 1, wherein in step three, the preset roll profile angle α is in a range of 0 to 180 °.
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