CN115415361A - Straightening machine roller bending force setting method based on particle swarm optimization - Google Patents
Straightening machine roller bending force setting method based on particle swarm optimization Download PDFInfo
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Abstract
The invention relates to a straightening machine roller bending force setting method based on a particle swarm algorithm, which belongs to the technical field of plate straightening and comprises the following steps of: s1: according to the equipment structure of the straightening machine, establishing the geometric relationship among a hydraulic cylinder, a straightening roller and a supporting roller; s2: establishing 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 the deflection of the straightening roll is minimum by adopting a particle swarm algorithm; s4: distributing the positive bending force and the negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder; s5: the positive bending force and the negative bending force are corrected. The invention firstly establishes the relation between the bending force of the hydraulic cylinder and the bending force provided by each supporting roller, and then sets the bending force by taking the deflection distribution of the straightening roller as a target function. On the premise that the straightening force is known, the required roll bending force can be obtained.
Description
Technical Field
The invention belongs to the technical field of plate straightening, and relates to a straightening machine roll bending force setting method based on a particle swarm algorithm.
Background
The straightening machine is generally applied to various strip steel production lines such as hot rolling, cold rolling, heat treatment and the like. At present, the third generation straightener is provided with a pressing mechanism and a roller bending mechanism, and in order to fully exert the capability of the device, accurate setting of pressing and roller bending is necessary. At present, relative pressing is difficult to set a bending roller, and no mature technical scheme exists.
Disclosure of Invention
In view of the above, an object of the present invention is to provide a method for setting a bending force of a leveler based on a particle swarm algorithm, wherein a required bending force is calculated for the leveler having a plurality of support rolls directly controlled by a bending hydraulic cylinder, with a target of minimizing the deflection of the leveler roll on the premise that the straightening force is known.
In order to achieve the purpose, the invention provides the following technical scheme:
a straightener roll bending force setting method based on a particle swarm algorithm comprises the following steps:
s1: according to the equipment structure of the straightening machine, establishing the geometric relationship among the hydraulic cylinder, the straightening roller and the supporting roller;
s2: establishing a function model of the deflection of the straightening roll about the straightening force and the roll bending force;
s3: solving positive bending force and negative bending force when the deflection of the straightening roll is minimum by adopting a particle swarm algorithm;
s4: distributing the positive bending force and the negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder;
s5: the positive bending force and the negative bending force are corrected.
Further, the straightening machine comprises a bending roll box, a plurality of straightening rolls, a hydraulic cylinder and a supporting roll; the supporting rollers are arranged in the bending roller box in groups, the straightening rollers are arranged below the bending roller box, and the supporting rollers are in contact with the straightening rollers and provide bending force; the pneumatic cylinder is located the bending box upper end, the pneumatic cylinder includes positive curved pneumatic cylinder and negative curved pneumatic cylinder, positive curved pneumatic cylinder provides positive bending force for the backing roll, negative curved pneumatic cylinder provides negative bending force for the backing roll.
Further, in step S1, establishing a geometric relationship among the hydraulic cylinder, the straightening roll, and the support roll includes:
the positive or negative bending force provided by a single support roller is:
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 for providing 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 (2)
in the formula, F is a positive bending force or a negative bending force transmitted to the straightening roll by a single supporting roll; theta is an included angle between the supporting roll and the straightening roll, and when the supporting roll is positioned right above the straightening roll, theta =0 degree;
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 (3)
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 Positive bending force or negative bending force required for the 1 st straightening roll to the nth straightening roll.
Further, the function model of the deflection of the straightening roll in the step S2 about the straightening force and the roll bending force is as follows:
f(x)＝f j (x)+f w (x) (4)
in the formula, f (x) is the deflection of a certain point x on the straightening roll body; 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 at a certain point x on the straightening roll body under the action of the roll bending force.
Further, step S3 specifically includes the following steps:
s31: setting the initial positive and negative bending forces to a range of 0 ji ]In which F ji The straightening force of the current straightening roll;
s32: setting the hyper-parameters of the particle swarm algorithm, including the population number n g Self-cognition learning factor c 1 Group cognition learning factor c 2 Each time of overlappingMaximum allowable variation v max An inertia factor ω;
s33: initializing a population, substituting the initial positive bending force and the initial negative bending force into an objective function, and calculating an individual optimal value and a population optimal value of the population, wherein the objective function is as follows:
max[φ(F zi ,F fi )]＝max[-|f(x)|] (5)
s34: and calculating the independent variable increment in the k iteration, wherein the inertia factor of the k iteration is as follows:
the argument increment of the kth iteration is:
v k ＝ω k ·v k-1 +c 1 ·R a ·(p b -x k-1 )+c 2 ·R a ·(g b -x k-1 ) (7)
in the formula, ω k Is the inertia factor at the k-th iteration, ω ini Is an initial inertia factor, ω end As a final inertia factor, n iter For the number of iterations, n is the current number of iterations, n belongs to [0 iter ]，x k-1 Is an independent variable, x, at the k-1 iteration k ＝x k-1 +v k ，R a Is a random number between (0, 1), p b For individual optimum, g b The optimal value of the population is obtained;
s35: updating the independent variable and solving a new objective function value;
s36: updating the individual optimal value and the group optimal value of the population;
s37: repeating S34-S36 until the iteration times or the target precision is reached;
s38: repeating S31-S37 until the positive bending force and the negative bending force required by all the upper straightening rollers are calculated;
s39: and calculating the total positive bending force and the total negative bending force, checking whether the total positive bending force and the total negative bending force exceed the limit, resetting the range of the initial positive bending force and the initial negative bending force if the total positive bending force and the negative bending force exceed the limit, and repeating S31 to S38.
Further, in the step S4, the positive bending force and the negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder, and an average distribution method is adopted:
in the formula, 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 is a radical of op The number of the positive bending hydraulic cylinders or the negative bending hydraulic cylinders.
Further, in the step S4, the positive bending force and the negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by a proportional coefficient distribution method:
if m upper straightening rollers are provided, i positive bending hydraulic cylinders are arranged at the strip steel inlet side and mainly act on the front n 1 An upper straightening roll, j positive bending hydraulic cylinders arranged on the outlet side of the strip steel and mainly acting on the nth 2 And the last upper straightening roll, the force output by the single positive bending cylinder at the inlet side is as follows:
in the formula, 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 by the position from the n2# straightening roller to the m # straightening roller; 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; i is the number of the inlet side positive bending hydraulic cylinders;
the force output by each negative-bending hydraulic cylinder and the force output by the outlet-side hydraulic cylinder are calculated by equations (9) and (10).
Further, in the step S5, correction is madeThe strip steel plate shape is required to be flat and straight, a correction coefficient is determined according to an actual debugging result on site, and the positive bending correction coefficient is assumed to be beta p Negative bending correction coefficient digital beta n The actually required positive and negative bending forces are then:
F ap ＝F sz ·β p (11)
F an ＝F sf ·β n (12)
in the formula, 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 bending correction coefficient; beta is a beta n Is a negative bend correction coefficient.
The invention has the beneficial effects that: the invention firstly establishes the relation between the bending force of the hydraulic cylinder and the bending force provided by each supporting roller, and then sets the bending force by taking the deflection distribution of the straightening roller as a target function. On the premise that the straightening force is known, the required roll bending force can be obtained.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objectives and other advantages of the invention may be realized and attained by the means of the instrumentalities and combinations particularly pointed out hereinafter.
Drawings
For the purposes of promoting a better understanding of the objects, aspects and advantages of the invention, reference will now be made to the following detailed description taken in conjunction with the accompanying drawings in which:
FIG. 1 is a view showing the positional relationship between a straightening roll and a support roll according to the present invention;
FIG. 2 is a plan view of the leveler of the present invention;
FIG. 3 is a roll profile curve of the 1# roll at the first calculation in an embodiment of the present invention;
FIG. 4 is a roll profile curve of the No. 1 roll at the second calculation in the example of the present invention;
FIG. 5 is a roll profile curve of the No. 1 roll at the third calculation in the example of the present invention;
FIG. 6 is a graph showing the roll profile of the # 1 roll in the fourth calculation in the example of the present invention;
FIG. 7 is a roller profile curve of the 1# roller at the fifth calculation in the example of the present invention.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention in a schematic way, and the features in the following embodiments and examples may be combined with each other without conflict.
Wherein the showings are for the purpose of illustration only and not for the purpose of limiting the invention, shown in the drawings are schematic representations and not in the form of actual drawings; to better illustrate the embodiments of the present invention, some parts of the drawings may be omitted, enlarged or reduced, and do not represent the size of an actual product; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted.
The same or similar reference numerals in the drawings of the embodiments of the present invention correspond to the same or similar components; in the description of the present invention, it should be understood that if there is an orientation or positional relationship indicated by terms such as "upper", "lower", "left", "right", "front", "rear", etc., based on the orientation or positional relationship shown in the drawings, it is only for convenience of description and simplification of description, but it is not an indication or suggestion that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and therefore, the terms describing the positional relationship in the drawings are only used for illustrative purposes, and are not to be construed as limiting the present invention, and the specific meaning of the terms may be understood by those skilled in the art according to specific situations.
The invention provides a straightener roll bending force setting method based on a particle swarm optimization, and the existing straightener with 15 rolls comprises 7 upper rolls and 8 lower rolls, wherein each upper roll is provided with 12 supporting rolls and is positioned in 3 roll bending boxes. As shown in fig. 1, d is the distance from the left fulcrum to 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 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 of the first support roller from the right fulcrum. As shown in fig. 2, the inlet side is the side where the strip steel enters, the outlet side is the side where the strip steel exits, there are 7 upper straightening rolls, each upper straightening roll has 3 bending roll boxes, 4 supporting rolls are in one bending roll box, the hydraulic cylinder is located on the bending roll box, there are 4 positive bending hydraulic cylinders in the middle, and there are two negative bending hydraulic cylinders on both sides.
The following assumptions are now made:
(1) The acting force of the bending hydraulic cylinder can be completely transmitted to the supporting roll and is used as the bending force of the supporting roll to the straightening roll;
(2) The middle positive bending force only acts on the middle 6 supporting rollers on a certain straightening roller, and the acting force is evenly distributed, similarly, the left negative bending force only acts on the left 3 supporting rollers on the certain straightening roller, and the acting force is evenly distributed, and the right negative bending force only acts on the right 3 supporting rollers on the certain straightening roller, and the acting force is evenly distributed;
(3) The supporting roller is positioned right above the straightening roller.
(4) The applied force is applied symmetrically, i.e. the negative bending force on the left side and the negative bending force on the right side are equal.
According to such an assumption, the method for setting the bending force of the leveler comprises the steps of:
(1) 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 positive bending force of 400 tons at most in total, and the 2 negative bending hydraulic cylinders on each side can provide a negative bending force of 200 tons at most 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 geometric parameters (unit: mm) of the supporting roll are as follows:
TABLE 1
| a | b | c | |
| 1# | 142.5 | 100 | 1867.5 |
| 2# | 287.5 | 100 | 1722.5 |
| 3# | 432.5 | 100 | 1577.5 |
| 4# | 577.5 | 100 | 1432.5 |
| 5# | 787.5 | 100 | 1222.5 |
| 6# | 932.5 | 100 | 1077.5 |
| 7# | 1077.5 | 100 | 932.5 |
| 8# | 1222.5 | 100 | 787.5 |
| 9# | 1432.5 | 100 | 577.5 |
| 10# | 1577.5 | 100 | 432.5 |
| 11# | 1722.5 | 100 | 287.5 |
| 12# | 1867.5 | 100 | 142.5 |
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 A 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 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 (16)
since the supporting roller is positioned right above the straightening roller, theta =0 DEG, F 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 (17)
f is formed because the supporting roller is positioned right above the straightening roller, and theta =0 DEG 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 (18)
the total positive bending force of all straightening rollers of the straightening machine is as follows:
F sum2 ＝F yz1 +F yz2 +…+F yz7 (19)
(2) Establishing a function model of the deflection of the straightening roll about straightening force and bending force, specifically:
the relationship between the roll bending force and the straightening force is established by adopting a material mechanics method as follows:
when subjected to straightening forces alone:
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 support points, mm; w is the width of the strip steel, 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 The distance between the ith supporting roller and the left fulcrum of the left end part is represented as 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.
The straightening roll target deflection function is:
f(x)＝f j (x)+f w (x) (26)
in the formula, f (x) is the deflection of the straightening roll body at the position with the distance of x from the left fulcrum.
(3) The straightening force applied to a straightening roll for straightening a certain steel grade (1500 mm in width) is known as follows:
TABLE 2
| Number of straightening roll | 1# | 2# | 3# | 4# | 5# | 6# | 7# | sum |
| Straightening force (kN) | 206.16 | 243.37 | 194.88 | 145.34 | 96.85 | 49.04 | 9.91 | 945.55 |
1# -7 # represent 7 upper rolls of the leveler.
Taking the calculation of the positive bending force and the negative bending force of the 1# roller as an example, the key steps are as follows:
a) Setting the range of initial positive bending force and negative bending force of the 1# roller to be 0-206.16 kN;
b) The hyper-parameters of the particle swarm algorithm are set as follows:
TABLE 3
| Number of groups n g | 40 |
| Self-cognition learning factor c 1 | 1.0 |
| Group cognitive learning factor c 2 | 2.0 |
| Maximum amount of change v of independent variable max | 10 |
| Initial inertia factor omega ini | 0.9 |
| Final inertia factor omega end | 0.4 |
| Number of iterations n iter | 20 |
In this embodiment, the 1# roller is counted 5 times, and the result of counting 1# is recorded as follows:
TABLE 4
It can be seen that the results obtained by each calculation are different by adopting the particle swarm algorithm. The roll profile of the 1# roll is shown in fig. 3 to 6 for each calculation.
(4) Assume that the subsequent calculation is performed according to the calculation result of the 5 th time.
The calculation results are shown in table 5:
TABLE 5
| Number of straightening roll | Positive bending force (kN) | Negative bending force (kN) | Maximum deflection (mm) |
| 1# | 118.49 | 118.36 | 0.17 |
| 2# | 213.91 | 0 | 0.11 |
| 3# | 55.85 | 227.25 | 0.27 |
| 4# | 106.68 | 47.59 | 0.30 |
| 5# | 84.85 | 0 | 0.06 |
| 6# | 0 | 85.9 | 0.14 |
| 7# | 0 | 16.37 | 0.03 |
| Sum | 579.78 | 495.47 | / |
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 ＝579.78×0.9＝521.8kN (35)
the actual total negative bending force is:
F nsa ＝495.47×0.85＝421.15kN (36)
the roll force distribution of the hydraulic cylinders also needs to be recalculated.
Finally, the above embodiments are only intended to illustrate the technical solutions of the present invention and not to limit the present invention, and although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions, and all of them should be covered by the claims of the present invention.
Claims (8)
1. A straightening machine roll bending force setting method based on a particle swarm algorithm is characterized in that: the method comprises the following steps:
s1: according to the equipment structure of the straightening machine, establishing the geometric relationship among the hydraulic cylinder, the straightening roller and the supporting roller;
s2: establishing a function model of the deflection of the straightening roll about the straightening force and the roll bending force;
s3: solving positive bending force and negative bending force when the deflection of the straightening roll is minimum by adopting a particle swarm algorithm;
s4: distributing the positive bending force and the negative bending force to a positive bending hydraulic cylinder and a negative bending hydraulic cylinder;
s5: the positive bending force and the negative bending force are corrected.
2. The straightening machine roll bending force setting method based on the particle swarm optimization according to claim 1, characterized in that: the straightening machine comprises a bending roll box, a plurality of straightening rolls, a hydraulic cylinder and a supporting roll; the supporting rollers are arranged in the bending roller box in groups, the straightening rollers are arranged below the bending roller box, and the supporting rollers are in contact with the straightening rollers and provide bending force; the pneumatic cylinder is located the bending box upper end, the pneumatic cylinder includes positive curved pneumatic cylinder and negative curved pneumatic cylinder, positive curved pneumatic cylinder provides positive bending force for the backing roll, negative curved pneumatic cylinder provides negative bending force for the backing roll.
3. The particle swarm optimization based straightener roll bending force setting method according to claim 2, characterized in that: in the step S1, establishing a geometric relationship among the hydraulic cylinder, the straightening roll, and the support roll includes:
the positive or negative bending force provided by a single support roller is:
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 applied to each straightening roll; n is the number of supporting rollers for providing 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 (2)
in the formula, F is a positive bending force or a negative bending force transmitted to the straightening roll by a single supporting roll; theta is an included angle between the supporting roll and the straightening roll, and when the supporting roll is positioned right above the straightening roll, theta =0 degree;
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 (3)
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 Positive bending force or negative bending force required for the 1 st straightening roll to the nth straightening roll.
4. The particle swarm optimization based straightener roll bending force setting method according to claim 1, characterized in that: s2, the function model of the deflection of the straightening roll about the straightening force and the roller bending force is as follows:
f(x)＝f j (x)+f w (x) (4)
in the formula, f (x) is the deflection of a certain point x on the straightening roll body; 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 at a certain point x on the straightening roll body under the action of the roll bending force.
5. The particle swarm optimization based straightener roll bending force setting method according to claim 1, characterized in that: the step S3 specifically includes the following steps:
s31: setting the initial positive and negative bending forces to a range of [0 ji ]In which F ji The straightening force of the current straightening roll;
s32: setting hyper-parameters of particle swarm algorithm, including population n g Self-cognition learning factor c 1 Group cognition item learning factor c 2 Maximum amount of change allowed per iteration v max An inertia factor ω;
s33: initializing a population, substituting the initial positive bending force and the initial negative bending force into an objective function, and calculating an individual optimal value and a population optimal value of the population, wherein the objective function is as follows:
max[φ(F zi ,F fi )]＝max[-|f(x)|] (5)
s34: and calculating the independent variable increment in the k iteration, wherein the inertia factor of the k iteration is as follows:
the argument increment of the kth iteration is:
v k ＝ω k ·v k-1 +c 1 ·R a ·(p b -x k-1 )+c 2 ·R a ·(g b -x k-1 ) (7)
in the formula, ω k Is the inertia factor at the kth iteration, ω ini Is an initial inertia factor, ω end As a final inertia factor, n iter For the number of iterations, n is the current number of iterations, n is an element [0, n ] iter ]，x k-1 Is the argument at the k-1 iteration, x k ＝x k-1 +v k ，R a Is a random number between (0, 1), p b For individual optimum, g b The optimal value of the population is obtained;
s35: updating the independent variable and solving a new objective function value;
s36: updating the individual optimal value and the group optimal value of the population;
s37: repeating S34-S36 until the iteration times or the target precision is reached;
s38: repeating S31-S37 until the positive bending force and the negative bending force required by all the upper straightening rollers are calculated;
s39: and calculating the total positive bending force and the total negative bending force, checking whether the total positive bending force and the total negative bending force exceed the limit, resetting the range of the initial positive bending force and the initial negative bending force if the total positive bending force and the negative bending force exceed the limit, and repeating S31 to S38.
6. The straightening machine roll bending force setting method based on the particle swarm optimization according to claim 1, characterized in that: in the step S4, the positive bending force and the negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by adopting an average distribution method:
in the formula, F op 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 hydrogen 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 particle swarm optimization according to claim 1, characterized in that: in the step S4, the positive bending force and the negative bending force are distributed to the positive bending hydraulic cylinder and the negative bending hydraulic cylinder by adopting a proportional coefficient distribution method:
if m upper straightening rollers are provided, i positive bending hydraulic cylinders are arranged at the strip steel inlet side and mainly act on the front n 1 An upper straightening roll, j positive bending hydraulic cylinders arranged on the outlet side of the strip steel and mainly acting on the nth 2 And the last upper straightening roll, the force output by the single positive bending cylinder at the inlet side is as follows:
in the formula, F op2 Force output for a single positive bending cylinder on the inlet side; f bp1 To F bpn1 The positive bending force required from 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 is positioned; f bp Calculating the total positive roll bending force; alpha (alpha) ("alpha") p The proportional coefficient of the positive roll bending force on the inlet side; i is the number of the inlet side positive bending hydraulic cylinders;
the force output by each negative-bending hydraulic cylinder and the force output by the outlet-side hydraulic cylinder are calculated by equations (9) and (10).
8. The straightening machine roll bending force setting method based on the particle swarm optimization according to claim 1, characterized in that: in the step S5, the correction needs to be carried out by taking the flatness of the strip steel plate as a target, determining a correction coefficient according to an actual debugging result on site, and assuming that the positive bending correction coefficient is beta p Negative bending correction coefficient digital beta n The actual required positive bendingThe forces and negative bending forces are:
F ap ＝F sz ·β p (11)
F an ＝F sf ·β n (12)
in the formula, F ap Actual total positive bending force; f an Actual total negative bending force; f sz The calculated total positive bending force; f sf The calculated total negative bending force; beta is a beta p Is a positive camber correction factor; beta is a beta n Is a negative bend correction factor.
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