CN113492155A - Biting control method for rolling process of large ring piece under deviation of polygonal outline of blank - Google Patents
Biting control method for rolling process of large ring piece under deviation of polygonal outline of blank Download PDFInfo
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- CN113492155A CN113492155A CN202110782456.8A CN202110782456A CN113492155A CN 113492155 A CN113492155 A CN 113492155A CN 202110782456 A CN202110782456 A CN 202110782456A CN 113492155 A CN113492155 A CN 113492155A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21H—MAKING PARTICULAR METAL OBJECTS BY ROLLING, e.g. SCREWS, WHEELS, RINGS, BARRELS, BALLS
- B21H1/00—Making articles shaped as bodies of revolution
- B21H1/06—Making articles shaped as bodies of revolution rings of restricted axial length
Abstract
The invention discloses a bite control method for a rolling process of a large ring piece under deviation of a polygonal outline of a blank. The method is characterized in that an annular blank with an outer outline of a regular polygon and an inner outline of a regular circle is used as a research object, in the rolling and shaping process, on the basis of a fuzzy control principle, when the thickness difference of a front wall, namely the difference between the current wall thickness and the minimum wall thickness and the change rate of the current wall thickness difference, are used as input, a corresponding fuzzy rule is established according to manual experience summarized in the actual operation process, the position of a core roller is controlled through a fuzzy control algorithm, and the pore space between the core roller and a driving roller is enabled to be changed along with the current wall thickness in a self-adaptive mode. The invention can avoid the situations of ring piece biting and blocking and unstable rolling caused by blank deviation, and enables the wall thickness of the ring blank to gradually tend to be uniform so as to provide a precondition for the next stable rolling, thereby greatly reducing the possibility of ring piece scrapping and improving the forming quality of large ring pieces.
Description
Technical Field
The invention relates to the field of ring rolling, in particular to a meshing control method for a large ring rolling process under deviation of a polygonal outline of a blank.
Background
The annular part is used as a key basic part and is widely applied to the industrial field. Along with the rapid development of world industrial production, the demand for high-quality ring pieces made of different materials is increasing day by day, but due to the defects of low production efficiency, large error, large subsequent turning processing amount, serious resource waste and the like of the early ring piece manufacturing process, the demand for rapid development of industry cannot be met. Compared with the traditional ring piece manufacturing process, the ring piece rolling technology has the advantages of energy conservation, material conservation, high production efficiency and the like, and the produced ring piece has small size error, more compact structure and better mechanical property. The ring rolling technology is increasingly commonly applied to a plurality of industrial fields such as machinery, automobiles, trains, nuclear power, wind power, petrochemical industry, aerospace and the like.
The large ring piece generally adopts the process flow of upsetting, punching, saddle reaming and rolling, and because the surface of a ring blank subjected to saddle reaming is uneven and the outline is polygonal, the ring blank is often bitten into and jammed and the rolling process is unstable due to uneven wall thickness in the initial rolling stage. In the actual production process of ring rolling, the process experience of stable biting of the blank ring piece containing polygonal contour deviation in the early biting process is mainly summarized by a trial and error method and repeated tests. However, the applicability of these experiences is influenced by many factors, such as the size of the ring, the type of material and the personal qualities of the operator. In the actual rolling process, especially in the rolling process of ultra-large ring pieces, due to lack of systematic theoretical guidance, various defects are easy to occur, which leads to serious problems of low production efficiency, ring piece scrap, resource waste and the like, which are not beneficial to the rapid mass production of high-quality ring pieces and are difficult to meet the requirements of industrial production in time. Therefore, the method has important significance for the stable control of the early biting process of the blank ring piece containing the polygonal contour deviation.
Disclosure of Invention
Since the wall thickness of the polygonal ring blank is not uniform, the biting condition at the initial stage of rolling changes with the change of the wall thickness, and the feed amount needs to be adjusted adaptively in order to satisfy the continuous biting condition of the polygonal ring blank. Therefore, the invention aims to provide a bite control method for a rolling process of a large ring piece under deviation of a polygonal profile of a blank to control the position of a core roller and realize self-adaptive adjustment of the feed amount, namely the gap between a driving roller and the core roller, along with the wall thickness of the ring blank. Specifically, firstly, determining the change range of the position of the core roller, taking a straight line where the center connecting line of the driving roller and the core roller is located as a coordinate axis, taking the direction of the core roller far away from the driving roller as a positive direction, taking the position of the center axis of the core roller where a gap between the core roller and the driving roller can be extruded to pass through the minimum wall thickness of the ring blank as a coordinate origin, taking a point of the positive direction, which is away from the driving roller, where the distance from the coordinate origin is the difference between the maximum wall thickness difference and the maximum feeding amount as a limit position of the center axis of the core roller far away from the driving roller, wherein the real-time feeding amount of the core roller changes along with the change of the current wall thickness, namely, the core roller is controlled to retreat at the wall thickness, and the core roller is controlled to advance at the position with a smaller wall thickness, so that the self-adaptive adjustment of the position of the core roller is realized, and the phenomenon of seizure caused by the larger feeding amount of the ring blank and the unstable rolling process caused by the overlarge rolling force are avoided. After several rounds of shaping and rolling under the control, the wall thickness of the polygonal ring blank tends to be uniform.
In order to solve the technical problems, the technical scheme of the invention is as follows: a biting control method for a rolling process of a large ring piece under deviation of a polygonal outline of a blank comprises the following steps:
s1: in the rolling and biting process, the maximum wall thickness difference delta h is obtained after the online measurement and data processing are carried out on any polygonal ring blank with the wall thickness deviationmaxMaximum and minimum wall thickness difference change rate +/-dh/dt, wall thickness difference x at each position of ring blank1And the rate of change x of the wall thickness difference at each position of the ring blank2(ii) a The continuous biting process of the polygonal ring blank is equivalent to the biting process of the ring piece with the inner circle radius unchanged and the outer circle radius continuously enlarged, the variation curve of the maximum feeding amount of the polygonal ring blank can be obtained according to the measurement and calculation result and the biting condition of the ring piece rolling, and a value delta h smaller than the maximum feeding amount is determined according to the minimum maximum feeding amountlimDetermining a variation range Delta S of the core roller position as a limit maximum feed amount;wherein the maximum wall thickness difference is the difference between the maximum wall thickness and the minimum wall thickness, the wall thickness difference at each position of the ring blank is the difference between the current wall thickness and the minimum wall thickness, and Δ S is Δ hmaxAnd Δ hlimThe difference between the two;
s2, selecting the ring blank as the thickness difference x of the front wall1Selecting the current wall thickness difference change rate x of the ring blank as a first input quantity2As the second input quantity, the first input quantity and the second input quantity are respectively subjected to a quantization factor k1、k2After quantization, inputting the quantized data into a fuzzy controller;
s3, fuzzy reasoning is carried out to the first input quantity and the second input quantity according to a preset rule, a certain clarification method is utilized to carry out deblurring operation, and finally a scale factor k is useduThe final output u, i.e., the position coordinates of the center axis of the core roller, is obtained.
Further, x in S11Has a physical discourse domain of [0, Δ hmax],x2The theory of physics of (1) is [ -dh/dt, dh/dt.
Further, the physical discourse domain of u in S3 is [0, Δ S ].
Further, the preset rule in S3 is to determine that the membership function is triangular, and then select 3 fuzzy subsets according to the difference between the maximum wall thickness difference and the preset maximum feeding amount to cover the input amount x1The fuzzy domain of (a), comprising S, M, L, i.e., respectively small, medium, large; selecting 6 fuzzy subsets to cover the input quantity x according to the maximum wall thickness difference change rate and the minimum wall thickness difference change rate2The fuzzy domain of (1) comprises NL, NM, NS, PS, PM and PL, namely corresponding to negative big, negative middle, negative small, positive middle and positive big respectively; and selecting 5 fuzzy subsets according to the size of the variation range of the position of the core roller to cover the fuzzy domain of the output quantity u, including S, SM, M, LM and L, namely corresponding to small, medium and small, medium and large respectively.
Further, the preset rule in S3 is four fuzzy rules that can be summarized according to multiple sets of experimental data, and a fuzzy rule table can be formed by the fuzzy rules:
(1) "the wall thickness difference is positive and small, the wall thickness difference change rate is positive and small, and the distance between the core roller and the origin is reduced in the middle amplitude";
(2) "the wall thickness difference is positive and small, the wall thickness difference change rate is negative and small, and the distance between the core roller and the origin is greatly reduced";
(3) "the wall thickness difference is positive, the wall thickness difference change rate is positive, and the distance between the core roller and the origin is greatly increased";
(4) "the wall thickness difference is positive and large, the rate of change of the wall thickness difference is negative and large, and the distance between the core roll and the origin is increased in the middle amplitude".
Further, in S3, a Mamdani fuzzy inference type is used for fuzzy inference, and a sharpening method of a weighted average method is used for the first input quantity x1And a second input quantity x2And performing deblurring.
Further, the calculation formula of the actual core roll position coordinate value u after the deblurring in S3 is as follows:
in the formula kuIs a scale factor, k is the number of fuzzy rules activated, mu(u)iFor the degree of membership of each rule,the output was averaged for each rule.
A system for implementing the control method of any one of the above claims comprises a measurement and calculation module and a fuzzy controller. Wherein: the measuring and calculating module is used for carrying out online measurement and data processing on any polygonal ring blank with wall thickness deviation to obtain the maximum wall thickness difference delta hmaxMaximum and minimum wall thickness difference change rate +/-dh/dt, wall thickness difference x at each position of ring blank1And the rate of change x of the wall thickness difference at each position of the ring blank2In addition, the device is also used for obtaining the maximum feeding amount of the polygonal ring blank; the fuzzy controller is used for selecting the thickness difference x of the front wall of the ring blank1Selecting the current wall thickness difference change rate x of the ring blank as a first input quantity2As the second input quantity, the first input quantity and the second input quantity are respectively subjected to a quantization factor k1、k2Inputting the quantized data into a fuzzy controller, carrying out fuzzy reasoning on the first input quantity and the second input quantity according to a preset rule, carrying out deblurring operation by utilizing a certain sharpening method, and finally carrying out deblurring operation by using a scale factor kuThe final output u, i.e., the position coordinates of the center axis of the core roller, is obtained.
A computer storage medium for implementing the control method of any one of the above, the computer storage medium comprising: at least one instruction which, when executed, performs any of the method steps described above.
A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the method steps of any of the above.
Compared with the prior art, the invention has the beneficial effects that: the method avoids the situations of ring blank biting and blocking caused by the deviation of the polygonal outline of the blank and unstable rolling process, and ensures that the wall thickness of the polygonal ring blank gradually tends to be uniform to provide certain precondition for the next stable rolling, thereby reducing the possibility of ring piece scrapping to a great extent and improving the forming quality of large ring pieces.
Drawings
FIG. 1 is a schematic diagram of closed-loop control of a polygonal ring rolling process;
FIG. 2 is a schematic structural diagram of a stable biting fuzzy controller for rolling a polygonal ring;
FIG. 3 is a schematic view of a hexagonal ring blank biting process in an embodiment of the present invention;
FIG. 4 is a graph showing the variation of the maximum feeding amount of the hexagonal ring blank according to the embodiment of the present invention;
FIG. 5 is a graph showing the wall thickness difference between the profiles DE and EF of a hexagonal ring blank according to an embodiment of the present invention;
FIG. 6 is a schematic view showing the range of variation in the position of the core roller in the embodiment of the present invention;
FIG. 7 is a graph showing the rate of change of the wall thickness difference of the hexagonal ring blank along the profiles DE and EF according to the embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. The invention discloses a method for controlling biting in a rolling process of a large ring piece under deviation of a polygonal outline of a blank, which comprises the following steps of:
s1, taking the hexagonal ring blank as an example, as shown in FIG. 3, the continuous biting process of the ring blank is equivalent to the biting process of the ring piece with the inner circle radius being constant and the outer circle radius being continuously enlarged, and the maximum feeding amount of the hexagonal ring blank is gradually reduced according to the biting condition of the ring piece rolling, wherein R is1Is the radius of the driving roller, R2The radius of the core roller, R is the radius of the circumscribed circle of the polygonal ring blank, R is the radius of the inner circle of the polygonal ring blank, and R (t) is the instantaneous radius of the outer circle of the polygonal ring blank. The dimensional parameters of the drive roll, core roll and hexagonal ring are shown in table 1. The variation curve of the maximum feeding amount of the hexagonal ring blank can be plotted, and as shown in fig. 4, it is found that the maximum feeding amount is 152mm or more and 155mm or less, and the variation range of the core roll position is determined by setting the maximum feeding amount to 140mm as a limit in order to improve the stability after the successful biting. And (3) setting the included angle between the OB and the OD as alpha, drawing a variation curve of the wall thickness difference of the hexagonal ring blank along the profiles DE and EF, wherein as shown in figure 5, the variation range of the wall thickness difference is about 0-200 mm according to the curve. Therefore, the variation range Δ S of the core roller position is [0,60 ]]As shown in fig. 6. The change curve of the wall thickness difference change rate of the hexagonal ring blank along the profiles DE and EF can be drawn, and as shown in FIG. 7, the change range of the wall thickness difference change rate is about-15 to 15 according to the curve.
TABLE 1
S2, determining the wall thickness difference input x1Physical discourse domain X of1=[0,200]Wall thickness differential rate of change input x2Physical discourse domain X of2=[-15,15]The physical domain U of the output quantity U of the position coordinates of the core roller is [0,60 ]]. Set the wall thickness differenceInput quantity x1Fuzzy domain of (N)1=[0,10]Wall thickness differential rate of change input x2Fuzzy domain of (N)2=[-1,1]Fuzzy domain N of output quantity u of position coordinates of core roller3=[0,6]. From this, the input variable x can be determined1Quantization factor k of11/20, input quantity x2Quantization factor k of21/15, a scaling factor k of the output uuIs 10.
S3, determining the membership function as a triangle. Three fuzzy subsets are selected: s (Small), M (Medium), L (Large) for covering input quantity x1Fuzzy domain of (N)1=[0,10](ii) a Six fuzzy subsets are selected: NL (negative large), NM (negative medium), NS (negative small), PS (positive small), PM (positive medium), PL (positive large) are used to cover the input amount x2Fuzzy domain of (N)2=[-1,1](ii) a Five fuzzy subsets are selected: s (small), SM (medium and small), M (medium), LM (medium and large) and L (large) are used for covering fuzzy domain N of output quantity u3=[0,6]. The membership functions are respectively as follows:
and S4, determining fuzzy control rules. According to the operation experience of people, the following four fuzzy rules can be summarized and summarized:
(1) "the wall thickness difference is positive and small, the wall thickness difference change rate is positive and small, and the distance between the core roller and the origin is reduced in the middle amplitude";
(2) "the wall thickness difference is positive and small, the wall thickness difference change rate is negative and small, and the distance between the core roller and the origin is greatly reduced";
(3) "the wall thickness difference is positive, the wall thickness difference change rate is positive, and the distance between the core roller and the origin is greatly increased";
(4) "the wall thickness difference is positive and large, the rate of change of the wall thickness difference is negative and large, and the distance between the core roller and the origin is increased by a medium amplitude";
expressed as if-then rule:
(1) if the wall thickness difference is S, the change rate of the wall thickness difference is PS, and the distance between the then core roll and the origin is SM;
(2) if the wall thickness difference is S, the rate of change of the wall thickness difference is NS, and the distance between the then core roll and the origin is S;
(3) if the wall thickness difference is L, the rate of change of the wall thickness difference is PL, and the distance between the then core roll and the origin is L;
(3) if the wall thickness difference is L, the rate of change of the wall thickness difference is NL, and the distance between the then core roll and the origin is LM;
a total of 18 fuzzy rules were generated, and the fuzzy rule table is shown in table 2 (E denotes wall thickness difference, EC denotes wall thickness difference change rate):
TABLE 2
And S5, fuzzy reasoning is carried out. Two input quantities x1、x2Respectively by a quantization factor k1、k2Converting into fuzzy input quantity, respectively substituting into belonging membership function to obtain membership degree of each fuzzy subset, after rule matching making, determining triggered fuzzy rule, utilizing membership degree to obtain small operation to obtain precondition reliability of each rule, using obtained reliability as membership degree of output fuzzy subset, utilizing weighted average method to make output quantity be clarified, finally making scale factor k pass throughuThe output is converted to an actual output.
S6 illustration of fuzzy inference.
(1) Assume that the current measurement system obtains information: wall thickness differential input x1150, wall thickness difference rate of change input x2Is-5, x after quantization factor conversion1Becomes 7.5, x2Become-1/3, and respectively carry into the affiliated affiliationsThe corresponding degree of membership in the function can be found as:
μM(7.5)=1/2,μL(7.5)=1/2
μNM(-1/3)=2/3,μNS(-1/3)=1/3
(2) four matching fuzzy rules are available, as shown in table 3, i.e. there are four rules that are triggered:
TABLE 3
Rule 1:if E is M and EC is NM then u is SM;
Rule 2:if E is M and EC is NS then u is SM;
Rule 3:if E is L and EC is NM then u is L;
Rule 1:if E is L and EC is NS then u is L;
(3) Within the same rule, the rule conclusion is obtained through the AND relation between the premises, and the credibility of the premises is obtained through small operation:
the confidence level on the premise of rule 1 is: min (1/2, 2/3) ═ 1/2
The confidence level on the premise of rule 2 is: min (1/2, 1/3) ═ 1/3
The confidence level on the premise of rule 3 is: min (1/2, 2/3) ═ 1/2
The confidence level on the premise of rule 4 is: min (1/2, 1/3) ═ 1/3
This results in a confidence table of rule premises, i.e. a table of rule strengths, as shown in table 4:
TABLE 4
(4) The output is clarified by a weighted average method. The formula of the weighted average method is shown in formula (4):
where k is the number of activated fuzzy rules, mu(u)iFor the degree of membership of each rule,average value of output quantity under each rule
And a scaling factor k of the output u u10, the final value of the output u is 26.8, i.e., the position coordinate of the center axis of the core roller is 26.8mm from the origin.
While the invention has been described with respect to specific embodiments and examples, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (10)
1. A biting control method for a rolling process of a large ring piece under deviation of a polygonal outline of a blank is characterized by comprising the following steps:
s1: in the rolling and biting process, the maximum wall thickness difference delta h is obtained after the online measurement and data processing are carried out on any polygonal ring blank with the wall thickness deviationmaxMaximum and minimum wall thickness difference change rate +/-dh/dt, wall thickness difference x at each position of ring blank1And the rate of change x of the wall thickness difference at each position of the ring blank2(ii) a The continuous biting process of the polygonal ring blank is equivalent to the biting process of the ring piece with the inner circle radius unchanged and the outer circle radius continuously enlarged, the variation curve of the maximum feeding amount of the polygonal ring blank can be obtained according to the measurement and calculation result and the biting condition of the ring piece rolling, and a value delta h smaller than the maximum feeding amount is determined according to the minimum maximum feeding amountlimDetermining a variation range Delta S of the core roller position as a limit maximum feed amount; wherein the maximum wall thickness difference is the maximum wall thickness and the minimum wall thicknessThe wall thickness difference of each part of the ring blank is the difference between the current wall thickness and the minimum wall thickness, and Delta S is Delta hmaxAnd Δ hlimThe difference between the two;
s2, selecting the ring blank as the thickness difference x of the front wall1Selecting the current wall thickness difference change rate x of the ring blank as a first input quantity2As the second input quantity, the first input quantity and the second input quantity are respectively subjected to a quantization factor k1、k2After quantization, inputting the quantized data into a fuzzy controller;
s3, fuzzy reasoning is carried out to the first input quantity and the second input quantity according to a preset rule, a certain clarification method is utilized to carry out deblurring operation, and finally a scale factor k is useduThe final output u, i.e., the position coordinates of the center axis of the core roller, is obtained.
2. The bite control method for rolling the large ring under the deviation of the polygonal outline of the blank according to claim 1, wherein x in S1 is1Has a physical discourse domain of [0, Δ hmax]、x2Has a physical discourse of [ -dh/dt, dh/dt]And the physical domain of u in S3 is [0, Delta S]。
3. The bite control method for rolling large ring under polygonal profile deviation of blank according to claim 1, wherein the preset rule in S3 is to determine that the membership function is triangular, and then select 3 fuzzy subsets to cover the input amount x according to the difference between the maximum wall thickness difference and the preset maximum feeding amount1The fuzzy domain of (a), comprising S, M, L, i.e., respectively small, medium, large; selecting 6 fuzzy subsets to cover the input quantity x according to the maximum wall thickness difference change rate and the minimum wall thickness difference change rate2The fuzzy domain of (1) comprises NL, NM, NS, PS, PM and PL, namely corresponding to negative big, negative middle, negative small, positive middle and positive big respectively; and selecting 5 fuzzy subsets according to the size of the variation range of the position of the core roller to cover the fuzzy domain of the output quantity u, including S, SM, M, LM and L, namely corresponding to small, medium and small, medium and large respectively.
4. The bite control method for the rolling process of the large ring under the deviation of the polygonal outline of the blank according to claim 1, wherein the preset rules in S3 are four fuzzy rules which can be summarized according to multiple sets of experimental data:
(1) "the wall thickness difference is positive and small, the wall thickness difference change rate is positive and small, and the distance between the core roller and the origin is reduced in the middle amplitude";
(2) "the wall thickness difference is positive and small, the wall thickness difference change rate is negative and small, and the distance between the core roller and the origin is greatly reduced";
(3) "the wall thickness difference is positive, the wall thickness difference change rate is positive, and the distance between the core roller and the origin is greatly increased";
(4) "the wall thickness difference is positive and large, the rate of change of the wall thickness difference is negative and large, and the distance between the core roll and the origin is increased in the middle amplitude".
5. The bite control method for the rolling process of the large ring under the deviation of the polygonal outline of the blank according to claim 1, wherein in the step S3, fuzzy reasoning is performed by adopting a Mamdani fuzzy reasoning type, and a sharpening method of a weighted average method is adopted to perform fuzzy reasoning on the first input quantity x1And a second input quantity x2And (5) defuzzifying and pasting.
6. The bite control method for the rolling process of the large ring under the deviation of the polygonal profile of the blank according to claim 5, wherein the calculation formula of the coordinate value u of the actual core roller position after defuzzification by the weighted average method is as follows:
7. A system for implementing the control method according to any one of claims 1 to 6, characterized by comprising a calculation module and a fuzzy controller. Wherein: the measuring and calculating module is used for carrying out online measurement and data processing on any polygonal ring blank with wall thickness deviation to obtain the maximum wall thickness difference delta hmaxMaximum and minimum wall thickness difference change rate +/-dh/dt, wall thickness difference x at each position of ring blank1And the rate of change x of the wall thickness difference at each position of the ring blank2In addition, the device is also used for obtaining the maximum feeding amount of the polygonal ring blank; the fuzzy controller is used for selecting the thickness difference x of the front wall of the ring blank1Selecting the current wall thickness difference change rate x of the ring blank as a first input quantity2As the second input quantity, the first input quantity and the second input quantity are respectively subjected to a quantization factor k1、k2Inputting the quantized data into a fuzzy controller, carrying out fuzzy reasoning on the first input quantity and the second input quantity according to a preset rule, carrying out deblurring operation by utilizing a certain sharpening method, and finally carrying out deblurring operation by using a scale factor kuThe final output u, i.e., the position coordinates of the center axis of the core roller, is obtained.
8. The system of claim 7, wherein x is1Has a physical discourse domain of [0, Δ hmax]、x2Has a physical discourse of [ -dh/dt, dh/dt]The physical discourse domain of u is [0, Δ S]Wherein Δ S ═ Δ hmax-Δhlim(ii) a The preset rule is that the membership function is determined to be triangular, and then 3 fuzzy subsets are selected according to the difference value of the maximum wall thickness difference and the preset maximum feeding amount to cover the input amount x1The fuzzy domain of (a), comprising S, M, L, i.e., respectively small, medium, large; selecting 6 fuzzy subsets to cover the input quantity x according to the maximum wall thickness difference change rate and the minimum wall thickness difference change rate2The fuzzy domain of (1) comprises NL, NM, NS, PS, PM and PL, namely corresponding to negative big, negative middle, negative small, positive middle and positive big respectively; and selecting 5 fuzzy subsets according to the size of the variation range of the position of the core roller to cover the fuzzy domain of the output quantity u, including S, SM, M, LM and L, namely corresponding to small, medium and small, medium and large respectively.
9. A computer storage medium, the computer storage medium comprising: at least one instruction which, when executed, implements the method steps of any one of claims 1-6.
10. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the method steps of any of claims 1 to 6.
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CN112163357A (en) * | 2020-10-06 | 2021-01-01 | 武汉理工大学 | Flexible growth forming method for thin-wall polygonal ring member |
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