CN106547959B - One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance - Google Patents

One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance Download PDF

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CN106547959B
CN106547959B CN201610912280.2A CN201610912280A CN106547959B CN 106547959 B CN106547959 B CN 106547959B CN 201610912280 A CN201610912280 A CN 201610912280A CN 106547959 B CN106547959 B CN 106547959B
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roll
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strip
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CN106547959A (en
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周莲莲
崔亚亚
张岩岩
张君
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Yanshan University
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/18—Manufacturability analysis or optimisation for manufacturability

Abstract

One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance, it includes following step performed by computer: (1) collecting basic equipment parameter；(2) product parameters of ideal format strip in the record of production are collected；(3) optimization section [A is given1min,A1max], and optimization step delta A；(4) best roller shape parameter searching process intermediate parameters i, objective function initial value F are defined0；(5) the toe-out stress distribution numerical value of outlet strip is calculated；(6) roller shape parameter A is calculatediThe width numerical value of lower ideal format belt steel product；(7) optimal roller shape first order parameter A is exported1_best, draw the roll shape curve under this roller shape parameter.Present invention decreases the roller diameter variance values of upper working rolls and lower working rolls, alleviate due to upper working rolls and lower working rolls roller diameter difference it is exceeded caused by milling train asymmetrical rolling effect caused by roll linear velocity difference, the strip shape quality that ensure that outlet strip solves the problems, such as to ignore the control of belt plate shape quality in previous roller shape parameter design calculation process.

Description

One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance
Technical field
The present invention relates to cold-strip steel planarizing technique, in particular to a kind of calculation method of roller shape parameter optimization.
Background technique
Currently, belt steel flating roll field, the roll shape Configuration Type of milling train is more and more diversified, high CVC mill because It can require according to the Crown control of strip and rapidly and continuously change Gap crown, has very strong control to belt plate shape Ability, and can be realized and free rolling is carried out for the incoming band steel of different steel grades and specification and obtains more and more extensive answer With.The upper working rolls and lower working rolls of CVC milling train arrange that milling train axially carries out size phase in roll by upper working rolls and lower working rolls according to antisymmetry Deng, contrary roll shifting, Gap crown is adjusted, to adapt to the strip of different size and supplied materials convexity, CVC mill rolls Body curve is S-type, and commonly using curve is cubic polynomial, and top working roll roll shape curve expression formula is Rup(x)=A0+A1x+A2x2+ A3x3, bottom working roll roll shape curve expression formula is Rdown(x)=Rup(L-x), at the scene can by optimization roll forming of the roll parameter come Reasonable shape of working roll curve is designed, using the Gap crown formed during upper working rolls and lower working rolls roll shifting, to incoming band steel Initial convexity controlled.However in actual production, unreasonable body of roll curve will lead to the uneven wear of roll, very The Strip Shape Control precision that milling train can be reduced in big degree, directly affects the strip shape quality of finished strip.Therefore, how according to supplied materials Convexity and the Strip Shape Control requirement of strip, optimize and calculate the CVC body of roll curve for meeting production scene belt steel flating process in turn Improve belt plate shape quality, has become the emphasis of site technology tackling key problem.At present for CVC mill rolls shape parameter Monomial coefficient Design calculate the variation tendency mainly from the axially loaded of roll, outlet strip transverse thickness difference and roll barrel curve Angularly start with determining, does not consider the influence to outlet belt plate shape quality, and plate shape is that downstream client determines strip The important indicator of product quality.
Bibliography
[1] Beijing Lian Jiachuan, Liu Hongmin AGC-ASC system [M]: weapon industry publishing house .1995:1-90.
[2] Bai Zhenhua, Liu Hongmin, Li Xiujun wait Beijing skin pass rolling process modeling [M]: metallurgical industry publishing house .2010:1-100.
[3] Liu Guangming, Di Hongshuan, Chang An wait .CVC mill rolls shape Curve Design and equivalent crown to inquire into the northeast [J] big It learns journal (natural science edition), 2008,29 (10): 1444-1446.
Summary of the invention
The purpose of the present invention is to provide one kind can improve belt plate shape quality, reduces upper working rolls and lower working rolls roller diameter variance Based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance.The present invention fully consider incoming band steel specification difference and The Crown control requirement of different size strip, for the strip of all ideal formats in production scene, by work above and below CVC skin pass mill group Make roller roller diameter variance and be set as objective function, to export belt plate shape well for constraint condition, by excellent to the progress of roller shape parameter Change is calculated satisfaction and produces actual roll shape grinding Monomial coefficient, is conducive to the roller diameter variance for reducing milling train upper working rolls and lower working rolls Numerical value, while can guarantee to export the strip shape quality of strip.
The present invention includes following step performed by computer:
(a) basic equipment parameter is collected, main includes the roller diameter D of working rollw, support roller roller diameter Db, working roll the body of roll Length Lw, support roller barrel length Lb, working roll bending cylinder distance lw, support roller housing screw center is away from lb, operation roll of mill Bending roller force SQj(j=1,2,3...), the variation range [s of the roll shifting amount s of CVC skin pass mill groupmin,smax] roll shape two-term coefficient A2, roll shape term coefficient A three times3, roll initial radium parameter A0, Q is strip steel grade code name, and j is the ideal format band of field statistics The serial number of steel；
(b) product and rolling technological parameter for collecting ideal format strip in the record of production mainly include ideal format band The width numerical value B of steelQj, steel strip thickness HQj, strip yield strength σQs, breaking elongation εQj, total draught pressure of skin pass mill group rack PQj；The cross direction profiles value L of incoming profileQi, the forward pull and backward pull T of skin pass mill groupQj_1、TQj_0And mill speed vQj, In, i is the item member serial number i=1 that strip width direction divides, 2,3...；
(c) the working roll barrel length that L is milling train, A are defined1To need to optimize the roller shape parameter calculated, A1_bestFor optimization Obtained best roller shape parameter Monomial coefficient；
(d) fixed roll shape parameter Monomial coefficient A is given1Optimization section [A1min,A1max], and optimization step delta A；
(e) best roller shape parameter searching process intermediate parameters i, objective function initial value F are defined0；
(f) i=0 is enabled, F is taken0=1010；
(g) enabling roller shape parameter optimizing initial value is Ai=A1min+iΔA；
(h) the toe-out stress distribution numerical value σ of outlet strip is calculated using roll elastic deformation model and flow of metal model1i =f (Ai,HQi,LQi,BQj,TQj_0,TQj_1) (unit: MPa), AiDetermine the roll shape distribution of roll；
(i) it calculates using I-Unit as unit plate shape Distribution Value
(j) computing board shape peak index g (X)=| max (αi)-min(αi) | (unit: I)；
(k) judge inequality g (X)≤g (X)max(g(X)maxFor strip shape quality control parameter) it is whether true? if differ Formula is set up, then is transferred to step (l) and is calculated；If inequality is invalid, it is transferred to step (g), redefines roller curve Parameter is calculated；
(l) roller shape parameter A is calculatediThe width numerical value B of lower ideal format belt steel productQj(j=1,2,3...) corresponding Roller diameter variance(unit: μm):
(m) by roller shape parameter AiUnder the conditions of roller diameter variance maximum valueIt is denoted asF (X) is roller The optimization calculating target function of shape parameter；
(n) judge inequality F (X) < F0(X) whether true? if inequality is set up, F is enabled0=F (X), A1_best=Ai, turn Enter step (o)；If inequality is invalid, it is directly transferred to step (o)；
(o) judge inequalityIt is whether true? if inequality is set up, i=i+1 is enabled, is then transferred to Step (g) continues the search of roller shape parameter；If inequality is invalid, it is directly transferred to step (p)；
(p) optimal roller shape first order parameter A is exported1_best, draw the roll shape curve under this roller shape parameter.
The invention has the following advantages over the prior art:
The change width range for fully considering production scene different size strip, according to the convexity of incoming band steel and plate shape control System requires, and to export belt plate shape well for constraint condition, satisfaction production is calculated in fact by optimizing to roller shape parameter The roll shape grinding parameter on border improves the plate figurate number value of outlet strip, subtracts on the basis of guaranteeing milling train equivalent crown control ability Small upper working rolls and lower working rolls roller diameter variance value helps to mitigate due to the exceeded caused roll linear velocity of upper working rolls and lower working rolls roller diameter difference Milling train asymmetrical rolling effect caused by difference, keeps roll wear more uniform, solves previous roller shape parameter design calculation process In the problem of ignoring the control of belt plate shape quality, the roller shape parameter of perfect CVC milling train designs counting system, has and further pushes away The value extensively used.
Detailed description of the invention
Fig. 1 is total calculation flow chart of the invention；
Fig. 2 is T-2.5MA steel grade 0.305mm*998mm gauge strip in 1 central roll shape parameter optimization process of the embodiment of the present invention Steel plate shape distribution map；
Fig. 3 is the roll shape curve figure after the optimization of 1 central roll shape parameter of the embodiment of the present invention；
Fig. 4 is T-2MA steel grade 0.315mm*786mm specification strip steel in 2 central roll shape parameter optimization process of the embodiment of the present invention Plate shape distribution map；
Fig. 5 is the roll shape curve figure after the optimization of 2 central roll shape parameter of the embodiment of the present invention；
Roller curve comparison diagram after the optimization of Fig. 6 Example 1 and Example 2 of the present invention central roll shape parameter.
Specific embodiment
Embodiment 1
One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance, and calculation process is as shown in Figure 1, packet Include following steps:
(a) basic equipment parameter is collected, main includes the roller diameter D of working rollwThe roller diameter D of=450mm, support rollerb= The barrel length L of 1150mm, working rollwThe barrel length L of=1620mm, support rollerb=1380mm, working roll bending cylinder distance lw=2300mm, support roller housing screw center are away from lb=2300mm, operation roll of mill bending roller force S=200,80,120,110, 110,100,50,60 unit K N, CVC milling train roll shifting amount s variation ranges [- 120mm, 120mm], two-term coefficient A2=- 0.169563×10-5, roll shape term coefficient A three times3=0.635066 × 10-9, roll initial radium parameter A0=225, statistics two The rolling technological parameter of kind ideal format steel grade MR T-3BA, MR T-2.5BA, as shown in table 1.
The specification and rolling technological parameter of the typical steel grade of table 1
(b) product parameters for collecting ideal format strip in the record of production, mainly include the width according to ideal format strip Degree value BQj(j=1,2,3...):
BT3=780mm, 875mm, 994mm, 1105mm,
BT2.5=725mm, 785mm, 870mm, 998mm；
Steel strip thickness numerical value: HT3=0.325mm, 0.285mm, 0.298mm, 0.304mm,
HT2.5=0.298mm, 0.305mm, 0.285mm, 0.305mm；
Strip yield strength σs_T2.5=250MPa, σs_T3=270MPa, total draught pressure of skin pass mill group rack:
PT3=2.2MN, 1.9MN, 2.0MN, 2.1MN,
PT2.5=1.9MN, 2.4MN, 2.0MN, 1.8MN；
Breaking elongation εQj=0.9%, 1.0%, 1.05%, 1.1%, 0.9%, 1.0%, 1.05%, 1.1%；Carry out flitch The cross direction profiles value L of shapeQi=0, the backward pull and forward pull of skin pass mill group:
TT3_0=85Nmm-2,70N·mm-2,94N·mm-2,85N·mm-2,
TT3_1=100Nmm-2,90N·mm-2,105N·mm-2,98N·mm-2,
TT2.5_0=90Nmm-2,75N·mm-2,85N·mm-2,85N·mm-2,
TT2.5_1=105Nmm-2,85N·mm-2,85N·mm-2,100N·mm-2；
And mill speed:
vT3=500mmin-1,498m·min-1,576m·min-1,480m·min-1,
vT2.5=520mmin-1,510m·min-1,480m·min-1,476m·min-1。
(c) the working roll barrel length that L is milling train, A are defined1To need to optimize the roller shape parameter calculated, A1_bestFor optimization Obtained best roller shape parameter Monomial coefficient；
(d) fixed roll shape parameter Monomial coefficient A is given1Optimization section [0.126427 × 10-2,0.146427×10-2], with And optimization step delta A=0.0002；
(e) best roller shape parameter searching process intermediate parameters i, objective function initial value F are defined0；
(f) i=0 is enabled, F is taken0=1010；
(g) enabling roller shape parameter optimizing initial value is Ai=A1min+ i Δ A=0.126427 × 10-2；
(h) the toe-out stress distribution numerical value σ of outlet strip is calculated using roll elastic deformation model and flow of metal model1i (i=1,2,3...) (unit: MPa)；
σ1i=13.64,10.06,6.99,4.47,2.50,1.10,0.27,0,0.30,1.17,2.60,
4.59,7.15,10.24,13.84}；
(i) it calculates using I-Unit as unit plate shape Distribution Value
αi=3.64,2.09,0.75, -0.35, -1.2, -1.81, -2.17, -2.28, -2.16, -1.78, -1.15,
- 0.29,0.82,2.16,3.73 }；
(j) computing board shape peak index g (X)=| max (αi)-min(αi) |=6.01 (units: I)
(k) judge inequality g (X)≤g (X)max(g(X)maxFor strip shape quality control parameter peak value, taking its numerical value is g (X)max=10) whether true, 6.01I < 10I, inequality is set up, and is transferred to step (l)；
(l) roller shape parameter A is calculatediUnder all ideal formats belt steel product width numerical value BQj(j=1,2,3...) Corresponding roller diameter variance value
Wherein, (unit: μm)
(m) by roller shape parameter AiUnder roller diameter variance maximum valueIt is denoted asRoller diameter side at this time Poor maximum value is F (X)=154.464 μm；
(n) inequality F (X) < 1010It sets up, enables F0=F (X), A1_best=0.126427 × 10-2, it is transferred to step (o)；
(o) inequalityIt sets up, enables i=i+1=1, then turn Enter step (g)；Step (p) is directly transferred to if inequality is invalid；
(p) optimal roller shape first order parameter A is exported1_best=0.130623 × 10-2, draw the roller shape under this roller shape parameter Curve；
In order to facilitate comparison, list respectively using roller shape parameter of the present invention optimization after roller diameter variance value with it is excellent Roller diameter variance value before change compares, and as shown in table 2, the roller diameter variance value after optimizing is reduced to by 149.889 μm 113.073μm；As shown in Fig. 2, giving T-2.5MA steel grade 0.305mm*998mm specification in roller shape parameter optimization calculating process The plate shape of strip calculates distribution situation, and plate figurate number value is 6.01I；As shown in figure 3, giving the roller after the optimization of roller shape parameter Shape curve；The plate shape statistic of other steel grade specification strip steels is as shown in table 3, and the plate figurate number value maximum value for exporting strip is 7.36I, average plate figurate number value are 5.595I, and strip shape quality can be controlled in higher level.
The roller diameter variance yields of 2 roller shape parameter of table optimization front and back
Belt plate shape statistic in 3 roller shape parameter optimization process of table
As shown in Figure 6, it can be seen that the new roller curve after optimizing is gentler in the variation tendency of roll axial direction, Under the premise of guaranteeing to export belt plate shape quality, mitigate the asymmetrical rolling effect of milling train, while being more advantageous to the uniform of roll Abrasion, improves the service life of roll.
Embodiment 2
One kind being based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance comprising has computer execution below The step of:
(a) basic equipment parameter is collected, main includes the roller diameter D of working rollwThe roller diameter D of=450mm, support rollerb= The barrel length L of 1150mm, working rollwThe barrel length L of=1620mm, support rollerb=1380mm, working roll bending cylinder distance lw=2300mm, support roller housing screw center are away from lb=2300mm, operation roll of mill bending roller force S=200,80,120,110, 105,40,70,80 unit K N, CVC milling train roll shifting amount s variation ranges [- 120mm, 120mm], two-term coefficient A2=- 0.169563×10-5, roll shape term coefficient A three times3=0.635066 × 10-9, roll initial radium parameter A0=224.5, statistics The rolling technological parameter of two kinds of ideal format steel grade MR T-3BA, MR T-2BA, as shown in table 4.
The specification and rolling technological parameter of the typical steel grade of table 4
(b) product parameters for collecting ideal format strip in the record of production, mainly include the width according to ideal format strip Degree value BQj(j=1,2,3...):
BT3=780mm, 875mm, 994mm, 1105mm,
BT2=735mm, 786mm, 870mm, 934mm；
Steel strip thickness numerical value: HT3=0.325mm, 0.285mm, 0.298mm, 0.304mm,
HT2=0.278mm, 0.315mm, 0.275mm, 0.285mm；
Strip yield strength σs_T2=240MPa, σs_T3=270MPa, total draught pressure of skin pass mill group rack:
PT3=2.2MN, 1.9MN, 2.0MN, 2.1MN,
PT2=1.7MN, 2.3MN, 2.1MN, 1.9MN；
Breaking elongation εQj=0.9%, 1.0%, 1.05%, 1.1%, 0.8%, 0.9%, 1.0%, 1.05%, carry out flitch The cross direction profiles value L of shapeQi=0, the backward pull and forward pull of skin pass mill group:
TT3_0=85Nmm-2,70N·mm-2,94N·mm-2,85N·mm-2,
TT3_1=100Nmm-2,90N·mm-2,105N·mm-2,98N·mm-2,
TT2_0=85Nmm-2,75N·mm-2,80N·mm-2,95N·mm-2,
TT2_1=100Nmm-2,95N·mm-2,85N·mm-2,105N·mm-2；
And mill speed:
vT3=500mmin-1,498m·min-1,576m·min-1,480m·min-1,
vT2=510mmin-1,510m·min-1,498m·min-1,486m·min-1。
(c) the working roll barrel length that L is milling train, A are defined1To need to optimize the roller shape parameter calculated, A1_bestFor optimization Obtained best roller shape parameter Monomial coefficient；
(d) fixed roll shape parameter Monomial coefficient A is given1Optimization section [0.126427 × 10-2,0.146427×10-2], with And optimization step delta A=0.0002；
(e) best roller shape parameter searching process intermediate parameters i, objective function initial value F are defined0；
(f) i=0 is enabled, F is taken0=1010；
(g) enabling roller shape parameter optimizing initial value is Ai=A1min+ i Δ A=0.126427 × 10-2；
(h) the toe-out stress distribution numerical value σ of outlet strip is calculated using roll elastic deformation model and flow of metal model1i (i=1,2,3...) (unit: MPa)；
σ1i=11.56,8.53,5.92,3.79,2.12,0.93,0.23,0,0.25,0.99,2.2,
3.89,6.06,8.68,11.73}；
(i) it calculates using I-Unit as unit plate shape Distribution Value
αi=3.08,1.77,0.64, -0.30, -1.02, -1.53, -1.83, -1.93, -1.83, -1.51, -0.97,
-0.25,0.69,1.83,3.16}；
(j) computing board shape peak index g (X)=| max (αi)-min(αi) |=5.09 (units: I)
(k) judge inequality g (X)≤g (X)max(g(X)maxFor strip shape quality control parameter peak value, taking its numerical value is g (X)max=10) whether true, 5.09I < 10I, inequality is set up, and is transferred to step (l)；
(l) roller shape parameter A is calculatediUnder all ideal formats belt steel product width numerical value BQj(j=1,2,3...) Corresponding roller diameter variance value
Wherein, (unit: μm)
(m) by roller shape parameter AiUnder roller diameter variance maximum valueIt is denoted asRoller diameter side at this time Poor maximum value is F (X)=153.409 μm；
(n) inequality F (X) < 1010It sets up, enables F0=F (X), A1_best=0.126427 × 10-2, it is transferred to step (o)；
(o) inequalityIt sets up, enables i=i+1=1, then turn Enter step (g)；Step (p) is directly transferred to if inequality is invalid；
(p) optimal roller shape first order parameter A is exported1_best=0.129337 × 10-2, draw the roller shape under this roller shape parameter Curve；
In order to facilitate comparison, list respectively using roller shape parameter of the present invention optimization after roller diameter variance value with it is excellent Roller diameter variance value before change compares, and as shown in table 5, the roller diameter variance value after optimizing is reduced to by 149.889 μm 111.376μm；As shown in figure 4, giving T-2MA steel grade 0.315mm*786mm gauge strip in roller shape parameter optimization calculating process The plate shape of steel calculates distribution situation, and plate figurate number value is 5.09I；As shown in figure 5, giving the roller shape after the optimization of roller shape parameter Curve；The plate shape statistic of other steel grade specification strip steels is as shown in table 6, and the plate figurate number value maximum value for exporting strip is 7.65I, Average plate figurate number value is 5.726I, and strip shape quality can be controlled in higher level.
As shown in Figure 6, it can be seen that the new roller curve after optimizing is gentler in the variation tendency of roll axial direction, Under the premise of guaranteeing to export belt plate shape quality, mitigate the asymmetrical rolling effect of milling train, while being more advantageous to the uniform of roll Abrasion, improves the service life of roll.
The roller diameter variance yields of 5 roller shape parameter of table optimization front and back
Belt plate shape statistic in 6 roller shape parameter optimization process of table

Claims (1)

1. one kind is based on the smallest CVC roller shape parameter optimized calculation method of roller diameter variance, it is characterised in that: it includes below by counting Calculation machine executes step:
(a) basic equipment parameter is collected, main includes the roller diameter D of working rollw, support roller roller diameter Db, working roll barrel length Lw, support roller barrel length Lb, working roll bending cylinder distance lw, support roller housing screw center is away from lb, operation roll of mill roller Power SQj, CVC skin pass mill group roll shifting amount s variation range [smin,smax] roll shape two-term coefficient A2, roll shape term coefficient three times A3, roll initial radium parameter A0, Q is strip steel grade code name, and j is the serial number of the ideal format strip of field statistics；
(b) product and rolling technological parameter of ideal format strip in the record of production are collected, main includes ideal format strip Width numerical value BQj, steel strip thickness HQj, strip yield strength σQs, breaking elongation εQj, total draught pressure P of skin pass mill group rackQj； The cross direction profiles value L of incoming profileQi, the forward pull and backward pull T of skin pass mill groupQj_1、TQj_0And mill speed vQj, wherein I is the item member serial number i=1,2,3... that strip width direction divides；
(c) the working roll barrel length that L is milling train, A are defined1For roller shape parameter, A1_bestTo optimize obtained best roller shape parameter Monomial coefficient:
(d) fixed roll shape parameter Monomial coefficient A is given1Optimization section [A1min,A1max], and optimization step delta A；
(e) best roller shape parameter searching process intermediate parameters i, objective function initial value F are defined0；
(f) i=0 is enabled, F is taken0=1010；
(g) enabling roller shape parameter optimizing initial value is Ai=A1min+iΔA；
(h) the toe-out stress distribution numerical value σ of outlet strip is calculated using roll elastic deformation model and flow of metal model1i=f (Ai,HQi,LQi,BQj,TQj_0,TQj_1), AiDetermine the roll shape distribution of roll；
(i) it calculates using I-Unit as unit plate shape Distribution Value
(j) computing board shape peak index g (X)=| max (αi)-min(αi)|；
(k) judge inequality g (X)≤g (X)maxIt is whether true, wherein g (X)maxFor strip shape quality control parameter, if differed Formula is set up, then is transferred to step (l) and is calculated；If inequality is invalid, it is transferred to step (g), redefines roller curve Parameter is calculated；
(l) roller shape parameter A is calculatediThe width numerical value B of lower ideal format belt steel productQjCorresponding roller diameter variance
(m) by roller shape parameter AiUnder the conditions of roller diameter variance maximum valueIt is denoted asF (X) is roller parameter Several optimization calculating target functions；
(n) judge inequality F (X) < F0(X) whether true, if inequality is set up, enable F0=F (X), A1_best=Ai, it is transferred to step Suddenly (o)；If inequality is invalid, it is directly transferred to step (o)；
(o) judge inequalityIt is whether true, if inequality is set up, i=i+1 is enabled, step is then transferred to (g), continue the search of roller shape parameter；If inequality is invalid, it is directly transferred to step (p)；
(p) optimal roller shape first order parameter A is exported1_best, draw the roll shape curve under this roller shape parameter.
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