CN115415362A - Straightening machine roll bending force setting method based on dichotomy - Google Patents
Straightening machine roll bending force setting method based on dichotomy Download PDFInfo
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- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
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- B21D1/00—Straightening, restoring form or removing local distortions of sheet metal or specific articles made therefrom; Stretching sheet metal combined with rolling
- B21D1/02—Straightening, restoring form or removing local distortions of sheet metal or specific articles made therefrom; Stretching sheet metal combined with rolling by rollers
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Abstract
The invention provides a straightening machine roll bending force setting method based on a dichotomy, which comprises the following steps of: s1, establishing a geometric relation among a hydraulic cylinder, a straightening roller and a supporting roller according to the structure of a straightening machine; s2, constructing a function model of the deflection of the straightening roll about straightening force and roll bending force; s3, solving positive bending force and negative bending force when a function model of the deflection of the straightening roll, which relates to straightening force and bending force, reaches the minimum value by adopting a dichotomy method; s4, correcting the positive bending force and the negative bending force obtained in the step S3; s5, distributing the corrected positive bending force and negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder; the positive bending force and the negative bending force of the straightening machine can be accurately set, the capability of the straightening machine can be fully guaranteed, and the algorithm is simple and efficient in the whole setting process and accurate in control.
Description
Technical Field
The invention relates to a method for determining the bending force of a straightening machine, in particular to a method for setting the bending force of the straightening machine based on a dichotomy.
Background
The straightener is generally applied to various strip steel production lines such as hot rolling, cold rolling, heat treatment and the like. The conventional third generation leveler has a pressing mechanism and a roll bending mechanism, and it is necessary to accurately set the pressing mechanism and the roll bending mechanism in order to sufficiently exert the capability of the leveler.
In the prior art, the setting of the bending roll is difficult compared with a pressing mechanism, and no effective means is provided for solving the problem.
Disclosure of Invention
In view of the above, the invention aims to provide a straightening machine roll bending force setting method based on a dichotomy, which can accurately set the positive bending force and the negative bending force of a straightening machine, can fully ensure the capability of the straightening machine, and has concise and efficient algorithm and accurate control in the whole setting process.
The invention provides a straightening machine roll bending force setting method based on a dichotomy, which comprises the following steps of:
s1, establishing a geometric relation among a hydraulic cylinder, a straightening roller and a supporting roller according to the structure of a straightening machine;
s2, constructing a function model of the deflection of the straightening roll about straightening force and roll bending force;
s3, solving a positive bending force and a negative bending force when a function model of the deflection of the straightening roll, which relates to the straightening force and the bending force, reaches a minimum value by adopting a bisection method;
s4, correcting the positive bending force and the negative bending force obtained in the step S3;
and S5, distributing the corrected positive bending force and negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder.
Further, in step S2, a function model of the deflection of the straightening roll with respect to the straightening force and the roll bending force is:
f(x)=f j (x)+f w (x) (ii) a Wherein: f (x) is the deflection of a certain point x on the roll body of the straightening roll; f. of j (x) The deflection of a certain point x on the roller body of the straightening roller under the action of straightening force; f. of w (x) The deflection of a certain point x on the roll body of the straightening roll under the action of the roll bending force.
Further, step S3 specifically includes:
s31, setting initial total negative bending force F sf :F sf =k ini ·F sj (ii) a Wherein: k is a radical of ini Is a negative bending coefficient, F si Is the total straightening force;
s32, determining a negative roll bending force F provided for the ith straightening roll fi :F fi =F sf ·α i Wherein α is i The negative roll force distribution coefficient of the ith straightening roll is obtained;
s33, determining the positive roll bending force by adopting a bisection methodThe method comprises the following steps: the initial binary interval is (0,F) max ) In which F max The maximum roll bending force can be provided for the equipment;
determining the deflection distribution on the straightening roll by the step S2, comparing the absolute value of the deflection at each point on the straightening roll, and determining the maximum deflection; dividing the next interval according to the symbol of the output maximum deflection until reaching the set iteration times, wherein the output bending force is the positive bending force required by the ith straightening roll;
s34, determining the positive bending force required by each straightening roll according to the step S33, and then determining the total positive bending forceF zi The positive bending force required by the ith straightening roll, and n is the total number of the straightening rolls;
s35, judging the total positive bending force F sz Whether the set positive bending force threshold value is exceeded or not, if not, the positive bending force and the negative bending force required by the straightening roll are the values determined in the steps S31 to S33, and if yes, the step S36 is executed;
s36, resetting the total negative bending force F sf :F sf =F bas K, wherein: f bas The reference value of the increase of the negative bending force is k, and the coefficient of the increase of the negative bending force is k; and returns to step S32.
Further, the negative roll force distribution coefficient α of the ith straightening roll i Is determined by the following method:
wherein: f ji The straightening force of the ith straightening roll; f sj Is the total straightening force.
Further, in step S5, the corrected positive bending force and negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by using an average distribution method or a proportional coefficient distribution method.
Further, the average distribution method is as follows:
wherein: f op A force output for each positive or negative bending hydraulic cylinder; f sb The total positive roll bending force or the total negative roll bending force is calculated; n is a radical of op The number of the positive bending hydraulic cylinders or the negative bending hydraulic cylinders.
Further, the proportionality coefficient distribution method is as follows:
F op2 force output for a single positive bending cylinder on the inlet side; f bp1 To F bpn1 The positive bending force required for the 1# straightening roll to the n1# straightening roll, F bpn2 To F bpm The positive bending force is required from the n2# straightening roll to the m # straightening roll; f bp Calculating the total positive roll bending force; alpha is alpha p The proportional coefficient of the positive roll bending force on the inlet side; and i is the number of the inlet side positive bending hydraulic cylinders.
Further, in step S4, the correction is performed according to the following method:
F ap =F sz ·β p ;
F an =F sf ·β n ;
wherein: f ap Actual total positive bending force; f an The actual total negative bending force; f sz Calculating the total positive bending force; f sf The calculated total negative bending force; beta is a p Is a positive camber correction factor; beta is a n Is a negative bend correction coefficient.
The invention has the beneficial effects that: by the method, the positive bending force and the negative bending force of the straightener can be accurately set, the capability of the straightener can be fully ensured, and the algorithm is concise and efficient in the whole setting process and is accurately controlled.
Drawings
The invention is further described below with reference to the following figures and examples:
FIG. 1 is a geometric relationship among a back-up roll, a strip steel, and a straightening roll;
in the figure: d is the distance between the left fulcrum and the roll body, and l is the length of the straightening roll body; l is the distance between the two fulcrums; w is the width of the strip steel; a is a 1 The distance between the first supporting roller and the left fulcrum is shown; b 1 The length of the roller body of the supporting roller; c. C 1 The distance between the first supporting roller and the right fulcrum is shown;
FIG. 2 is a schematic diagram of the structure of the apparatus;
in the figure: the inlet side is the side where the strip steel enters, the outlet side is the side where the strip steel exits, the total number of the upper straightening rolls is 7, each upper straightening roll is provided with 3 bending roll boxes, 4 supporting rolls are arranged in one bending roll box, a hydraulic cylinder is positioned on each bending roll box, the middle of each bending roll box is provided with 4 positive bending hydraulic cylinders, and two negative bending hydraulic cylinders are arranged on two sides of each bending roll box;
FIGS. 3 to 9 are roller profile curves of the 1# -7 # rollers in Table 2, respectively;
fig. 10 to 16 are roller profile curves of the rollers 1# to 7# in table 3, respectively.
FIG. 17 is a flow chart of the present invention.
Detailed Description
The invention is further described in detail below:
the invention provides a straightening machine roll bending force setting method based on a dichotomy, which comprises the following steps of:
s1, establishing a geometric relation among a hydraulic cylinder, a straightening roller and a supporting roller according to the structure of a straightening machine; as shown in fig. 1:
the straightener has a plurality of straightener rolls, pneumatic cylinder and backing roll, the backing roll is divided into groups to be set up in the bending roll box, backing roll and straightener roll direct contact provide the bending force, positive bending hydraulic cylinder acts on some bending roll boxes, and then acts on the backing roll in the box in order to provide positive bending force, and the same reason, negative bending hydraulic cylinder acts on some bending roll boxes, and then acts on the backing roll in the box in order to provide negative bending force, then positive bending force or negative bending force that single backing roll provided do:
in the formula, F z Positive bending force or negative bending force is provided for a single supporting roller on each straightening roller; f w The total positive bending force or negative bending force borne by each straightening roll; n is the number of the supporting rollers which provide positive bending force or negative bending force on each straightening roller.
The positive bending force or the negative bending force transmitted to the straightening roll by the single supporting roll is as follows:
F=F z ·cosθ
in the formula, F is a positive bending force or a negative bending force transmitted to the straightening roll by a single supporting roll; θ is the angle between the support roll and the straightening roll, and θ =0 ° when the support roll is located directly above the straightening roll.
The total positive bending force or negative bending force required by the straightening machine is as follows:
F sum =F w1 +F w2 +…+F wn
in the formula, F sum The total positive bending force or the total negative bending force required by the straightening machine; f w1 To F wn The positive bending force or the negative bending force required for the 1 st straightening roll to the nth straightening roll is solved according to step S3.
S2, constructing a function model of the deflection of the straightening roll about straightening force and roll bending force;
s3, solving positive bending force and negative bending force when a function model of the deflection of the straightening roll, which relates to straightening force and bending force, reaches the minimum value by adopting a dichotomy method;
s4, correcting the positive bending force and the negative bending force obtained in the step S3;
s5, distributing the corrected positive bending force and negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder; by the method, the positive bending force and the negative bending force of the straightener can be accurately set, the capability of the straightener can be fully ensured, and the algorithm is simple and efficient in the whole setting process and accurate in control.
In this embodiment, in step S2, a function model of the deflection of the straightening roll with respect to the straightening force and the bending force is:
f(x)=f j (x)+f w (x) (ii) a Wherein: f (x) is on the roll body of the straightening rollDeflection at a certain point x; f. of j (x) The deflection of a certain point x on the roller body of the straightening roller under the action of straightening force; f. of w (x) The deflection of a certain point x on the roll body of the straightening roll under the action of the roll bending force.
Specifically, the method comprises the following steps: when subjected solely to straightening forces:
in the formula (f) j (x) Is the deflection, mm, at a distance x from the left fulcrum; e is the elastic modulus of the straightening roll, MPa; i is the moment of inertia of the cylindrical section, N.mm; f j Straightening force, N; l is the distance between two points, mm; and w is the width of the strip steel and is mm.
When acted upon by a roll bending force alone:
in the formula (f) w (x) Is the deflection, mm, at a distance x from the left fulcrum; e is the elastic modulus of the straightening roll, MPa; i is the moment of inertia of the cylindrical section, N.mm; f i Represents the bending force, N, of the ith supporting roll; a is i Indicating the left end of the ith backup roll gapDistance of the left fulcrum, mm; b i The length of the roll body of the ith supporting roll is expressed in mm; c. C i The distance between the right end of the ith supporting roller and the right fulcrum is represented by mm; l denotes the distance between the two fulcrums, mm.
In this embodiment, step S3 specifically includes:
s31, setting initial total negative bending force F sf :F sf =k ini ·F sj (ii) a Wherein: k is a radical of ini Is a negative bending coefficient, F si Is the total straightening force;
s32, determining a negative roll bending force F provided for the ith straightening roll fi :F fi =F sf ·α i Wherein α is i The distribution coefficient of the negative roll bending force of the ith straightening roll is calculated;
s33, determining the positive roll bending force by adopting a bisection method, wherein: the initial binary interval is (0,F) max ) In which F is max The maximum roll bending force can be provided for the equipment;
determining the deflection distribution on the straightening roll by the step S2, comparing the absolute value of the deflection of each point on the straightening roll, and determining the maximum deflection; dividing the next interval according to the symbol of the output maximum deflection until reaching the set iteration times, wherein the output bending force is the positive bending force required by the ith straightening roll; the method specifically comprises the following steps:
the deflection calculated from the straightening force alone must be greater than 0; deflection calculated from roll bending force alone must be less than 0; since the straightening force is known, the deflection produced by the straightening force is known. Now the negative bending force is initially set and the positive bending force is set to maximum F max Determining a deflection, wherein the deflection must be negative before the solution, the deflection is determined by the above formula, and the positive bending force is given 0 (corresponding to straightening force only), and a deflection is determined (positive), and then the positive bending force is determined as F max The deflection at/2, if positive, becomes [ F ] max /2,F max ]If negative, the interval becomes [0,F ] max /2]Then, solving the deflection at the midpoint of the interval, and repeating the operation until the optimal positive roll bending force is found; if F max If the calculated deflection is positive, the set negative bending force is increased, and if the negative bending force is also increased to the maximum value, the calculated deflection is still positive, then the negative bending force and the positive bending force are both output according to the maximum value;
s34, determining the positive bending force required by each straightening roll according to the step S33, and then determining the total positive bending forceF zi The positive bending force required by the ith straightening roll, and n is the total number of the straightening rolls;
s35, judging the total positive bending force F sz Whether the set positive bending force threshold value is exceeded or not, if not, the positive bending force and the negative bending force required by the straightening roll are the values determined in the steps S31 to S33, and if yes, the step S36 is executed;
s36, resetting the total negative bending force F sf :F sf =F bas K, wherein: f bas Is the reference value of the increase of the negative bending force, namely the last total negative bending force F sf (ii) a k is a negative bending force growth coefficient; and returns to step S32.
Wherein the negative bending force distribution coefficient alpha of the ith straightening roll i Is determined by the following method:
wherein: f ji The straightening force of the ith straightening roll; f sj Is the total straightening force.
In this embodiment, in step S5, the corrected positive bending force and negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by using an average distribution method or a proportional coefficient distribution method.
Specifically, the method comprises the following steps: the average distribution method is as follows:
wherein: f op Force output for each positive or negative bending hydraulic cylinder; f sb The total positive roll bending force or the total negative roll bending force is calculated;N op the number of the positive bending hydraulic cylinders or the negative bending hydraulic cylinders.
The proportionality coefficient assignment method is as follows:
F op2 force output for a single positive bending cylinder on the inlet side; f bp1 To F bpn1 The positive bending force required for the 1# straightening roll to the n1# straightening roll, F bpn2 To F bpm The positive bending force required from the n2# straightening roll to the m # straightening roll; f bp Calculating the total positive roll bending force; alpha is alpha p Is the proportional coefficient of the inlet side positive roll bending force; i is the number of the inlet side positive bending hydraulic cylinders; the method of proportional coefficient distribution of negative bending force is completely the same as that of positive bending force, and is not described herein.
In this embodiment, in step S4, the correction is performed according to the following method:
F ap =F sz ·β p ;
F an =F sf ·β n ;
wherein: f ap Actual total positive bending force; f an Actual total negative bending force; f sz Calculating the total positive bending force; f sf The calculated total negative bending force; beta is a p Is a positive camber correction factor; beta is a n Is a negative bend correction coefficient.
Taking the specific examples given in fig. 1 and 2 as examples:
as shown in fig. 1 and 2, the geometric relationship among the hydraulic cylinder, the supporting roll and the straightening roll is cleared; i.e. the straightener has 7 upper rolls and 8 lower rolls, each upper roll being provided with 12 support rolls in 3 bending boxes. The hydraulic cylinder is arranged on the bending roller box, the middle of the hydraulic cylinder is provided with 4 positive bending hydraulic cylinders, and two negative bending hydraulic cylinders are arranged on two sides of the hydraulic cylinder respectively.
The positive and negative bending forces required for each set of straightening forces can be calculated and then summed to give the total positive and negative bending forces. The total positive bending force is distributed by the middle 4 positive bending hydraulic cylinders, and the total negative bending force is distributed by the negative bending hydraulic cylinders on the two sides.
The middle 4 positive bending hydraulic cylinders can provide a maximum positive bending force of 400 tons, and the 2 negative bending hydraulic cylinders on each side can provide a maximum negative bending force of 200 tons on one side. The elastic modulus of the straightening roll is 208000MPa, the length of the roll body is 2000mm, the diameter of the straightening roll is 120mm, the distance between the supporting points at two sides and the roll body is 55mm, and the geometrical parameters (unit: mm) of the supporting roll are as follows:
TABLE 1 geometrical parameters of the support rolls
The negative bending force provided by a single support roller is then:
in the formula, F yl Negative bending force is provided for the left hydraulic cylinder to a certain straightening roll; f yr Negative bending force is provided for the right hydraulic cylinder to a certain straightening roll; f yf The total negative bending force on a straightening roll; f z1 The negative bending force is provided for the single supporting roller on the left side and the right side.
The positive bending force provided by a single support roller is then:
in the formula, F yz The total positive bending force on a certain straightening roll; f z2 Positive bending force is provided for a single support roller in the middle 6 support rollers.
The negative bending force transmitted by the single support roll to the straightening roll is as follows:
F 1 =F z1 ·cosθ
f is formed because the supporting roller is positioned right above the straightening roller, and theta =0 DEG 1 =F z1 。
The positive bending force transmitted to the straightening roll by the single supporting roll is as follows:
F 2 =F z2 ·cosθ
since the supporting roller is positioned right above the straightening roller, theta =0 DEG, F 2 =F z2 。
The total negative bending force of all straightening rollers of the straightening machine is as follows:
F sum1 =F yf1 +F yf2 +…+F yf7
the total positive bending force of all straightening rollers of the straightening machine is as follows:
F sum2 =F yz1 +F yz2 +…+F yz7
the maximum value of the positive bending force provided by the equipment is as follows:
F max =400t;
taking a limiting coefficient k lim =0.9, i.e. the actual output positive bending force cannot exceed:
F lim =F max ·k lim =400×0.9=360t;
taking the straightening force calculated for a certain steel grade (1500 mm in width) as an example, the roll bending force results are as follows:
table 2 calculation result of bending force 1
From the calculation results, it can be seen that the positive bending force does not exceed the limit value of the apparatus, and since the initial total negative bending force is set to 0, the adjustment is performed only by the positive bending force. Under the conditions of the output results, the roller profile curves of the 1# to 7# rollers are shown in fig. 3 to 9.
The second method comprises the following steps: in order to fully utilize the capacity of the device, the initial total negative bending force is set to be 0.4 times of the total straightening force. The calculation results are as follows:
TABLE 3 calculation of roll bending force 2
Under the condition of this output result, the roller profile curves of the 1# -7 # rollers are shown in fig. 10-16. (4) And (4) performing subsequent calculation by adopting the calculation result of the second mode.
Assuming that the positive bending force provided by a single positive bending hydraulic cylinder is obtained according to an average distribution method as follows:
the negative bending force provided by a single negative bending hydraulic cylinder is as follows:
assuming that according to the proportionality coefficient method, the positive bending force provided by the single positive bending hydraulic cylinder at the inlet side can be obtained as follows:
the positive bending force provided by the single positive bending hydraulic cylinder on the outlet side is as follows:
the negative bending force provided by the single negative bending hydraulic cylinder at the inlet side is as follows:
the negative bending force provided by the single negative bending hydraulic cylinder on the outlet side is as follows:
(5) Assuming a positive bend correction factor of 0.9 and a negative bend correction factor of 0.85, the actual total positive bending force is:
F psa =635.79×0.9=572.21kN
the actual total negative bending force is:
F nsa =378.22×0.85=321.49kN;
finally, the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all of them should be covered in the claims of the present invention.
Claims (8)
1. A straightening machine roll bending force setting method based on a bisection method is characterized by comprising the following steps: the method comprises the following steps:
s1, establishing a geometric relation among a hydraulic cylinder, a straightening roller and a supporting roller according to the structure of a straightening machine;
s2, constructing a function model of the deflection of the straightening roll about straightening force and roll bending force;
s3, solving positive bending force and negative bending force when a function model of the deflection of the straightening roll, which relates to straightening force and bending force, reaches the minimum value by adopting a dichotomy method;
s4, correcting the positive bending force and the negative bending force obtained in the step S3;
and S5, distributing the corrected positive bending force and negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder.
2. The straightening machine roll bending force setting method based on the dichotomy as in claim 1, wherein: in the step S2, a function model of the deflection of the straightening roll about the straightening force and the roll bending force is as follows:
f(x)=f j (x)+f w (x) (ii) a Wherein: f (x) is the deflection of a certain point x on the roller body of the straightening roller; f. of j (x) The deflection at a certain point x on the roller body of the straightening roller under the action of straightening force; f. of w (x) The deflection of a certain point x on the roll body of the straightening roll under the action of the roll bending force.
3. The straightening machine roll bending force setting method based on the dichotomy as in claim 2, wherein: in step S3, the method specifically includes:
s31, setting initial total negative bending force F sf :F sf =k ini ·F sj (ii) a Wherein: k is a radical of ini Is a negative bending coefficient, F si Is the total straightening force;
s32, determining a negative roll bending force F provided for the ith straightening roll fi :F fi =F sf ·α i Wherein α is i The negative roll force distribution coefficient of the ith straightening roll is obtained;
s33, determining the positive roll bending force by adopting a bisection method, wherein: the initial binary interval is (0,F) max ) In which F is max The maximum roll bending force can be provided for the equipment;
determining the deflection distribution on the straightening roll by the step S2, comparing the absolute value of the deflection at each point on the straightening roll, and determining the maximum deflection; dividing the next interval according to the symbol of the output maximum deflection until reaching the set iteration times, wherein the output bending force is the positive bending force required by the ith straightening roll;
s34, determining the positive bending force required by each straightening roll according to the step S33, and then determining the total positive bending force F sz :F zi The positive bending force required by the ith straightening roll, and n is the total number of the straightening rolls;
s35, judging the total positive bending force F sz Whether the set positive bending force threshold value is exceeded or not, if not, the positive bending force and the negative bending force required by the straightening roll are the values determined in the steps S31 to S33, and if yes, the step S36 is executed;
s36, resetting the total negative bending force F sf :F sf =F bas K, wherein: f bas The reference value of the increase of the negative bending force is k, and the coefficient of the increase of the negative bending force is k; and returns to step S32.
4. The straightening machine roll bending force setting method based on the dichotomy as in claim 3, wherein: negative roll force distribution coefficient alpha of ith straightening roll i Is determined by the following method:
5. The straightening machine roll bending force setting method based on the dichotomy as in claim 1, wherein: in step S5, the corrected positive bending force and negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by using an average distribution method or a proportional coefficient distribution method.
6. The straightening machine roll bending force setting method based on the dichotomy as in claim 5, wherein: the average distribution method is as follows:
wherein: f op A force output for each positive or negative bending hydraulic cylinder; f sb The calculated total positive roll bending force or the calculated total negative roll bending force; n is a radical of op The number of the positive bending hydraulic cylinders or the negative bending hydraulic cylinders.
7. The straightening machine roll bending force setting method based on the dichotomy as in claim 5, wherein: the proportionality coefficient assignment method is as follows:
F op2 force output for a single positive bending cylinder on the inlet side; f bp1 To F bpn1 The positive bending force required for the 1# straightening roll to the n1# straightening roll, F bpn2 To F bpm The positive bending force required from the n2# straightening roll to the m # straightening roll; f bp Calculating the total positive roll bending force; alpha is alpha p Is the proportional coefficient of the inlet side positive roll bending force; and i is the number of the inlet side positive bending hydraulic cylinders.
8. The straightening machine roll bending force setting method based on the dichotomy as in claim 1, wherein: in step S4, the correction is performed according to the following method:
F ap =F sz ·β p ;
F an =F sf ·β n ;
wherein: f ap Actual total positive bending force; f an The actual total negative bending force; f sz Calculating the total positive bending force; f sf The calculated total negative bending force; beta is a p Is a positive camber correction factor; beta is a n Is a negative bend correction coefficient.
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