CN103480651B - A kind of roller type curve design method of Stand Mill four roller skin pass mill group - Google Patents
A kind of roller type curve design method of Stand Mill four roller skin pass mill group Download PDFInfo
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Abstract
The present invention relates to the roller type curve design method of a kind of Stand Mill four roller skin pass mill group, it is characterised in that said method comprising the steps of: (a) collects the equipment characteristic parameter of Two-stand Temper Mill group；B () collects the ideal format product supplied materials parameter of each description scope of strip steel；C () sets the first frame, the bending roller force of the second frame, incline rollerIn ground state；D (), with roller curve parameter and optimized variable, sets working roll and the roller curve of backing roll；E () optimization calculates roller curve parameter；F optimum roll camber parameter of curve is substituted into and obtains optimum working roll and the roller curve equation of backing roll by ().This technical scheme is while consuming in view of plate shape and roller, take into account the control of aberration, optimize gained working roll and support roller roller curve, can at utmost make draught pressure and roll force distribution uniform, reduce aberration probability of occurrence, ensure that plate shape and roller consumption meet requirement simultaneously, bring bigger economic interests for enterprise.
Description
Technical field
The present invention relates to roller curve design field, relate in particular to the roller curve design side of a kind of skin pass mill group
Method, particularly relates to the roller type curve design method of a kind of Stand Mill four roller skin pass mill group.
Background technology
The contact width of smoothing and rolling process tabularium and working roll is generally less than the barrel length of working roll, in rolling
Under power effect, being positioned at the working roll beyond plate width is a harmful contact portion with backing roll body of roll contact area, and it makes
Working roll produces additional deformation, causes working roll to bend by a relatively large margin, in turn results in the inequality of draught pressure and roll gap pressure
Even distribution, (as shown in Figure 1) finally produces belt plate shape and roller consumes the defects such as excessive, aberration.For this technical problem, conventional
Solution is by optimum roll shape design, weakens the unwanted contact of roller end, in the prior art, only considers during roll design
The impact consumed to plate shape and roller, does not take into account aberration factor.And aberration be in smoothing and rolling process often occur and
Having a strong impact on the defect of finished strip quality, therefore, how effectively to prevent strip steel aberration by roll design is correlational study
The focus of work, especially, for Stand Mill four roller skin pass mill group, it is critical that how to consider aberration, plate shape and roller
In the roll design of the conditions such as consumption, it is achieved the coupling between Stand Mill.
In prior art, so-called aberration divides strip surface aberration and roller surface aberration two kinds, and they are mutual
Effect, existing be likely to occur because draught pressure local the most excessive and strip surface is first occurred aberration affects roll, also have
It is possibly due to roll contact pressure between rolls uneven, the most excessive, first at roller surface, aberration occurs, then have influence on strip steel
Surface.In order to ensure to produce qualified product, band and roller surface do not allow aberration problem occur, and both must be comprehensive
Administer.In more than analyzing, the distribution of draught pressure and roll gap pressure can realize by optimizing roll shape, and should during optimization
Pay close attention to the problem such as plate shape and roller consumption simultaneously.To this end, the present invention is on the basis of substantial amounts of on-the-spot experimental and theoretical study, take into full account
The equipment of Stand Mill four roller skin pass mill group and process characteristic, by setting up belt steel surface Model for chromatic aberration and roller surface aberration mould
Type, it is proposed that smooth operation aberration Comprehensive Control object function, and the factor such as board shape and roller consumption, finally establish Stand Mill
The optimum roll shape design object function of four roller skin pass mill group.Optimize gained working roll and support roller roller curve, can be at utmost
Make draught pressure and roll force distribution uniform, reduce aberration probability of occurrence, ensure that plate shape and roller consumption meet requirement simultaneously.
Summary of the invention
The present invention consumes the defects such as excessive, aberration for belt plate shape in prior art and roller just provides a kind of Stand Mill four
The roller type curve design method of roller skin pass mill group.
In order to solve above-mentioned technical problem, technical scheme is as follows: the roller of a kind of Stand Mill four roller skin pass mill group
Type curve design method, it is characterised in that said method comprising the steps of:
A () collects the equipment characteristic parameter of Two-stand Temper Mill group；
B () collects the ideal format product supplied materials parameter of each description scope of strip steel；
C () sets the bending roller force S of the first frame, the second frame1、S2, incline roller η1、η2In ground state；
D (), with roller curve parameter and optimized variable, sets working roll and the roller curve of backing roll；
E () optimization calculates roller curve parameter；
F optimum roll camber parameter of curve is substituted into and obtains optimum working roll and the roller curve equation of backing roll by ().
As a modification of the present invention, the optimization of described step (e) calculates roller curve parameter, specifically includes following step
Rapid:
E1) given initial curve parameter；
E2) utilize roller system elastic model, use segmentation discrete method, be divided into n section, band to be divided into along barrel length on support roller
M section, calculates the first frame, the second frame roll force distribution, roll-force is distributed, toe-out stress distribution；
E3) the first frame, the second frame strip surface color difference function are calculated, its mathematical model is:, k in formula0Resist for standard transformations
Power, takes, k is the practical distortion drag of band, and α is weight coefficient, α=0.6；
E4) inequality is judged, ksIt is band aberration marginal value, ks=0.2 ~ 0.3,
Whether set up, if inequality is set up, then proceed to step e5), otherwise, readjust roller curve parameter, proceed to step e2)；
E5) the first frame, the second breast roller surface chromatic aberration function are calculated, its mathematical model is:, K in formula0For standard roller surface hardness, take K0=1100 ~ 1200Mpa, Kw
For work roll surface actual hardness, KbFor roll surface actual hardness；
E6) judged result is less than, krIt is roll aberration marginal value, ksWhether=0.4 ~ 0.5
Set up, if inequality is set up, then proceed to step e7), otherwise, readjust roller curve parameter, proceed to step e2)；
E7) the first frame, the second frame aberration Comprehensive Control function are calculated, its mathematical model is, wherein β is weight coefficient,
E8) constraint IF condition, λ is constant, takes 0.1-0.5, if set up, as
Really inequality is set up, then proceed to step e9)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E9) the first frame, the second frame plate shape peak index are calculated, k=1,2 represent shelf number, its mathematical modulo
Type is；
E10) inequality is judged, kstIt is to allow forward pull cross direction profiles peak-peak
Whether set up, if inequality is set up, then proceed to step e11), otherwise, readjust roller curve parameter, proceed to step e2)；
E11) pressure peak index between the first frame, the second breast roll is calculated, k=1,2 represent shelf number, its number
Model is；
E12) inequality is judged, ksqIt is to allow roll force distribution cross direction profiles
Whether big peak value is set up, if inequality is set up, then proceeds to step e13), otherwise, readjust roller curve parameter, proceed to step
Rapid e2)；
E13) the first frame, the second frame draught pressure peak index are calculated, k=1,2 represent shelf number, its number
Model is；
E14) inequality is judged, ksqIt is to allow draught pressure distribution cross direction profiles
Whether big peak value is set up, if inequality is set up, then proceeds to step e15), otherwise, readjust roller curve parameter, proceed to step
Rapid e2)；
E15) the first frame, the second frame plate shape and the Comprehensive Control function G of roller consumption are calculated1(X)、G2(X), its mathematical modulo
Type is, α in formula1、α2、α3For weight coefficient, meet α1+α2+α3=1,
g1(X) plate shape uniformity index, g are represented2(X) roll gap pressure uniformity index, g are represented3(X) represent the draught pressure uniformity to refer to
Mark, its mathematic(al) representation is:
；
E16) constraint IF condition, φ is constant, takes 0.1-0.5, if become
Vertical, if inequality is set up, then proceed to step e17)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E17) optimum roll shape object function is calculated:
, in formulaFor specification in jth
The weight coefficient of product, is determined by the production yields of each specification product ratio in total output；
E18) judge whether Powell condition is set up, if being false, adjusting roller curve parameter, repeating step e2) extremely
E17) until Powell condition is set up, terminate to calculate, draw optimum roll camber parameter of curve.
As a modification of the present invention, described step (a) collects the equipment characteristic parameter of Two-stand Temper Mill group, mainly
Including: the first frame, the second frame working roll and support roller diameter D1w, D2w, D1b, D2b, working roll and support roller barrel length
Lw1,Lw2,Lb1,Lb2, working roll bending cylinder is away from l1, l2, housing screw central moment L1,L2, maximum positive bending roller force S+ 1max、S+ 2max?
Big negative bending roller force S- 1max、S- 2max, maximum is just being inclined roller amount, maximum negative roller amount of inclining, maximum rolling force, maximum mill speed, work roll surface actual hardness Kw, roll surface actual hardness Kb；
As a modification of the present invention, described step (b) is collected the ideal format of each description scope of strip steel and is produced
Product parameter, including strip width, thickness, yield limit
, breaking elongation, the first frame rolling force setup value, second frame set roll
Power setting value processed, entrance tension force setting value, intermediate tension setting value, outlet tension force setting value。
As a modification of the present invention, described step (c) sets the bending roller force S of the first frame, the second frame1、S2, incline
Roller η1、η2In ground state, i.e.
As a modification of the present invention, two frames of described step (d) Two-stand Temper Mill group use identical roll shape,
Here it is not added with distinguishing, with a, b, c, k1, δ, lz, k is roller curve parameter and optimized variable, sets working roll and supporting respectively
The curvilinear equation of roller.Wherein, set the roller curve equation of working roll as:
Set the roller curve equation of backing roll as:
Above in two formulas:
DwWorking roll green diameter (mm)；
LwWorking roll barrel length (mm)；
DbBacking roll green diameter (mm)；
LbBacking roll barrel length (mm)；
A work roll crown value；
B cosine phase coefficient；
C working roll high order curve partial safety factor；
k1Working roll high order curve subitem index；
lzBacking roll roller curve sloping shoulders length (mm)；
The δ backing roll roller curve sloping shoulders degree of depth (mm)；
K backing roll roller curve index.
Relative to prior art, advantages of the present invention is as follows: while consuming in view of plate shape and roller, take into account aberration
Control, optimize gained working roll and support roller roller curve, can at utmost make draught pressure and roll force distribution uniform, subtract
Little aberration probability of occurrence, ensures that plate shape and roller consumption meet requirement simultaneously, brings bigger economic interests for enterprise.
Accompanying drawing explanation
Fig. 1 is the design flow diagram that the present invention is total；
Fig. 2-1, Fig. 2-2 are roller curve optimizing flow chart；
Fig. 3 is embodiment 1 working roller schematic diagram；
Fig. 4 is embodiment 1 working roller accurate plot；
Fig. 5 is embodiment 1 backing roll roller curve schematic diagram；
Fig. 6 is embodiment 1 backing roll roll shape accurate plot；
Fig. 7 is embodiment 2 working roller schematic diagram；
Fig. 8 is embodiment 2 working roller accurate plot；
Fig. 9 is embodiment 2 backing roll roll shape schematic diagram；
Figure 10 is embodiment 2 backing roll roll shape accurate plot.
Detailed description of the invention
In order to deepen the understanding of the present invention, 18 couples of present invention are described in detail below in conjunction with the accompanying drawings.
Seeing Fig. 1, Fig. 1 is the total design flow diagram of the present invention, and the roller curve of a kind of Stand Mill four roller skin pass mill group sets
Meter method, it is characterised in that said method comprising the steps of:
A () collects the equipment characteristic parameter of Two-stand Temper Mill group；
B () collects the ideal format product supplied materials parameter of each description scope of strip steel；
C () sets the bending roller force S of the first frame, the second frame1、S2, incline roller η1、η2In ground state；
D (), with roller curve parameter and optimized variable, sets working roll and the roller curve of backing roll；
E () optimization calculates roller curve parameter；
F optimum roll camber parameter of curve is substituted into and obtains optimum working roll and the roller curve equation of backing roll by ().
See Fig. 2-1 and Fig. 2-2, for roller curve optimizing flow chart, specifically include following steps:
E1) given initial curve parameter X0={a,b,c,k1,δ,lz,k}；
E2) utilize roller system elastic model, use segmentation discrete method, be divided into n section, band to be divided into along barrel length on support roller
M section, calculates the first frame, the second frame roll force distribution, roll-force is distributed, toe-out stress distribution；
E3) the first frame, the second frame strip surface color difference function are calculated, its mathematical model is:, k in formula0Resist for standard transformations
Power, takes K0=1100 ~ 1200Mpa, k are the practical distortion drag of band, and α is weight coefficient, α=0.6；
E4) inequality is judged, ksIt is band aberration marginal value, ks=0.2 ~ 0.3, if
Set up, if inequality is set up, then proceed to step e5), otherwise, readjust roller curve parameter, proceed to step e2)；
E5) the first frame, the second breast roller surface chromatic aberration function are calculated, its mathematical model is:, K in formula0For standard roller surface hardness, take K0=1100~
1200Mpa, KwFor work roll surface actual hardness, KbFor roll surface actual hardness；
E6) judged result is less than, krIt is roll aberration marginal value, ks=0.4 ~ 0.5, be
No establishment, if inequality is set up, then proceeds to step e7), otherwise, readjust roller curve parameter, proceed to step e2)；
E7) the first frame, the second frame aberration Comprehensive Control function are calculated, its mathematical model is, wherein β is weight coefficient,
E8) constraint IF condition, λ is constant, takes 0.1-0.5, if set up, as
Really inequality is set up, then proceed to step e9)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E9) the first frame, the second frame plate shape peak index are calculated, k=1,2 represent shelf number, its mathematical modulo
Type is；
E10) inequality is judged, kstIt is to allow forward pull cross direction profiles peak-peak
Whether set up, if inequality is set up, then proceed to step e11), otherwise, readjust roller curve parameter, proceed to step e2)；
E11) pressure peak index between the first frame, the second breast roll is calculated, k=1,2 represent shelf number, its number
Model is；
E12) inequality is judged, ksqIt is to allow roll force distribution cross direction profiles
Whether big peak value is set up, if inequality is set up, then proceeds to step e13), otherwise, readjust roller curve parameter, proceed to step
Rapid e2)；
E13) the first frame, the second frame draught pressure peak index are calculated, k=1,2 represent shelf number, its number
Model is；
E14) inequality is judged, ksqIt is to allow draught pressure distribution cross direction profiles
Whether big peak value is set up, if inequality is set up, then proceeds to step e15), otherwise, readjust roller curve parameter, proceed to step
Rapid e2)；
E15) the first frame, the second frame plate shape and the Comprehensive Control function G of roller consumption are calculated1(X)、G2(X), its mathematical modulo
Type is, α in formula1,α2,α3, for weight coefficient, meet α1+α2+α3=
1, g1(X) plate shape uniformity index, g are represented2(X) roll gap pressure uniformity index, g are represented3(X) the draught pressure uniformity is represented
Index, its mathematic(al) representation is:
；
E16) constraint IF condition, φ is constant, takes 0.1-0.5, if become
Vertical, if inequality is set up, then proceed to step e17)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E17) optimum roll shape object function is calculated:
, in formulaFor specification in jth
The weight coefficient of product, is determined by the production yields of each specification product ratio in total output；
E18) judge whether Powell condition is set up, if being false, adjusting roller curve parameter, repeating step e2) extremely
E17) until Powell condition is set up, terminate to calculate, draw optimum roll camber parameter of curve.
Embodiment 1: see Fig. 3,4,
First, in step 1, collect the equipment characteristic parameter of Two-stand Temper Mill group, specifically include that the first frame, the
Two frame working rolls and support roller diameter D1w=D2w=500mm、D1b=D2b=1100mm, working roll and support roller barrel length Lw1=
Lw2=Lb1=Lb2=1250mm, working roll bending cylinder is away from l1=l2=2300mm, housing screw central moment L1=L2=2300mm, maximum is just
Bending roller force S+ 1max=S+ 2max=1134kN, maximum negative bending roller force S- 1max=S- 2max=-1134kN, maximum is just being inclined roller amount, maximum negative roller amount of inclining, maximum rolling force
, maximum mill speed, work roll surface actual hardness Kw=1200, roll surface is actual hard
Degree Kb=1200；
Subsequently, in step 2, the ideal format product parameters of each description scope of strip steel is collected, including strip steel width
Degree, thickness, yield limit, breaking elongation, the first frame rolling force setup value, second frame set rolling force setup
Value, entrance tension force setting value, intermediate tension setting value, outlet tension force setting value.Concrete as shown in table 1.
Table 1 ideal format product
| Sequence number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Yield limit/MPa | 270 | 270 | 270 | 270 | 460 | 460 | 460 | 460 |
| Width/mm | 818 | 808 | 1018 | 1046 | 836 | 837 | 906 | 923 |
| Speed/m/min | 470 | 449 | 285 | 390 | 430 | 640 | 720 | 590 |
| Thickness/mm | 401 | 450 | 503 | 502 | 180 | 181 | 190 | 179 |
| Outlet tension force/kN | 3200 | 2600 | 3500 | 3650 | 3151 | 3000 | 3400 | 3200 |
| Breaking elongation/% | 1.92 | 1.32 | 1.31 | 1.21 | 1.08 | 1.07 | 1.36 | 1.36 |
| 1# roll-force/kN | 3964 | 2456 | 2840 | 2987 | 8011 | 8015 | 7780 | 7911 |
| 2# roll-force | 2500 | 2000 | 2001 | 2001 | 4649 | 5093 | 2580 | 2877 |
| Entrance tension force/kN | 3200 | 2600 | 3401 | 3550 | 1981 | 1950 | 2200 | 2100 |
| Intermediate tension/kN | 3400 | 2751 | 3450 | 3700 | 3652 | 3500 | 3900 | 3750 |
Subsequently, in step 3, the bending roller force S of the first frame, the second frame is set1、S2, incline roller η1、η2In ground state, i.e.
Subsequently, in step 4, two frames of Two-stand Temper Mill group use identical roll shape, are here not added with distinguishing.With
A, b, c, k1, δ, lz, k is roller curve parameter and optimized variable, sets the curvilinear equation of working roll and backing roll respectively.Wherein,
Set the roller curve equation of working roll as:
Set the roller curve equation of backing roll as:
Subsequently, in steps of 5, given initial curve parameter；
Subsequently, in step 6, utilize roller system elastic model, use segmentation discrete method, support roller is divided into along barrel lengthSection, band are divided into n section, calculate the first frame, the second frame roll force distribution qbwil=7190.0,7440.2,7679.9,
7943.2,8230.0,8539.6,8870.3,9170.1,9438.8,9676.7,9884.1,10061.8,10210.5,
10330.9,10423.7,10489.6,10528.9,10542.0,10528.9,10489.6,10423.7,10330.9,
10210.5,10061.8,9884.1,9676.7,9438.8,9170.1,8870.3,8539.6,8230.0,7943.2,
7679.9,7440.2,7190.0}, qbwi2=4682.6,4722.6,4781.8,4860.3,4957.9,5073.9,5207.1,
5329.6,5441.0,5540.8,5628.7,5704.7,5768.9,5821.1,5861.7,5890.6,5907.8,5913.6,
5907.8,5890.6,5861.7,5821.1,5768.9,5704.7,5628.7,5540.8,5441.0,5329.6,5207.1,
5073.9,4957.9,4860.3,4781.8,4722.6,4682.6}, unit kN/m；
Roll-force distribution q'i1=9026.6,8530.7,8093.3,7711.4,7382.1,7102.9,6871.2,
6684.8,6541.8,6440.8,6380.6,6360.6,6380.6,6440.8,6541.8,6684.8,6871.2,7102.9,
7382.1,7711.4,8093.3,8530.7,9026.6}, q'i2=4926.3,4728.0,4548.0,4386.8,4244.6,
4121.5,4017.6,3932.8,3867.0,3820.1,3792.0,3782.6,3792.0,3820.1,3867.0,3932.8,
4017.6,4121.5,4244.6,4386.8,4548.0,4728.0,4926.3} units kN/m；
Toe-out stress distribution σ1i1=146.2,162.8,176.9,188.7,198.5,206.7,213.3,218.5,
222.5,225.3,226.9,227.5,226.9,225.3,222.5,218.5,213.3,206.7,198.5,188.7,
176.9,162.8,146.2}, σ1i2=181.2,186.2,190.8,194.9,198.6,201.9,204.7,206.9,
208.7,210.0,210.7,211.0,210.7,210.0,208.7,206.9,204.7,201.9,198.6,194.9,
190.8,186.2,181.2}, units MPa；
Subsequently, in step 7, the first frame, the second frame strip surface color difference function are calculated；
Subsequently, in step 8, it is judged that inequalityWhether set up？Obviously inequality
0.294 < 0.3 sets up, then proceed to step 9；Otherwise, readjust roller curve parameter, proceed to step 6；
Subsequently, in step 9, the first frame, the second breast roller surface chromatic aberration function are calculated；
Subsequently, in step 10, it is judged that result is less thanWhether set up？Obviously inequality
0.344 < 0.5 sets up, then proceed to step 11；Otherwise, readjust roller curve parameter, proceed to step 6；
Subsequently, in a step 11, the first frame, the second frame aberration Comprehensive Control function are calculated, this embodiment takes weight coefficient β=0.6.
Subsequently, in step 12, it is judged that constraintsWhether set up？The most not
Equation 0.395 < 0.4 is set up, then proceed to step 13；Otherwise, readjust roller curve parameter, proceed to step 6, this embodiment
In, take λ=0.4；
Subsequently, in step 13, calculate the first frame, the second frame plate shape peak index；
Subsequently, at step 14, it is judged that inequalityWhether set up？Obviously inequality
0.407 < 0.45 sets up, then proceed to step 15, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take
kst=0.45；
Subsequently, in step 15, pressure peak index between the first frame, the second breast roll is calculated,；
Subsequently, in step 16, it is judged that inequalityWhether set up？Obviously inequality
0.363≤0.4 sets up, then proceed to step 17, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take
ksq=0.4；
Subsequently, in step 17, the first frame, the second frame draught pressure peak index are calculated；
Subsequently, in step 18, it is judged that inequalityWhether set up？Obviously inequality
0.365 < 0.4 sets up, then proceed to step 19, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take
ksq'=0.4；
Subsequently, in step 19, calculate the first frame, the second frame plate shape and the Comprehensive Control function of roller consumption, this embodiment takes；
Subsequently, in step 20, it is judged that constraintsWhether set up？Obviously
Inequality sets up 0.392 < 0.45, then proceed to step 21；Otherwise, readjusting roller curve parameter, proceed to step 6, this implements
Example takes φ=0.45；
Subsequently, in step 21, calculate optimum roll shape object function E (X)=0.98；
Subsequently, in step 22, it is judged that whether Powell condition is set up？If being false, adjusting roller curve parameter, repeating
Step 6, to 21 until Powell condition is set up, terminates to calculate, draws optimum roll camber parameter of curve.
Finally, in step 23, by optimum roll camber parameter of curve Substitute into roller curve equation and the roller curve of backing roll of working roll
Equation obtains the roller curve equation of optimum working roll:
The roller curve equation of optimum backing roll is:
。
Embodiment 2: see Fig. 5 Fig. 8.
First, in step 1, collect the equipment characteristic parameter of Two-stand Temper Mill group, specifically include that the first frame, the
Two frame working rolls and support roller diameter D1w=D2w=450mm、D1b=D2b=1100mm, working roll and support roller barrel length Lw1=
Lw2=Lb1=Lb2=1450mm, working roll bending cylinder is away from l1=l2=2400mm, housing screw central moment L1=L2=2400mm, maximum is just
Bending roller force S+ 1max=S+ 2max=800kN, maximum negative bending roller force S- 1max=S- 2max=-800kN, maximum is just being inclined roller amount, maximum negative roller amount of inclining, maximum rolling force
, maximum mill speed, work roll surface actual hardness Kw=1100, roll surface is actual hard
Degree Kb=1200；
Subsequently, in step 2, the ideal format product parameters of each description scope of strip steel is collected, including strip steel width
Degree, thickness, yield limit, breaking elongation, the first frame rolling force setup value, second frame set rolling force setup
Value, entrance tension force setting value, intermediate tension setting value, outlet tension force setting value.Concrete as shown in table 1.
Table 2 ideal format product
| Sequence number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Yield limit/MPa | 230 | 230 | 230 | 230 | 420 | 420 | 420 | 420 |
| Width/mm | 1050 | 1002 | 983 | 930 | 837 | 876 | 905 | 938 |
| Speed/m/min | 439 | 475 | 360 | 300 | 628 | 740 | 700 | 690 |
| Thickness/μm | 253 | 351 | 402 | 502 | 181 | 201 | 242 | 250 |
| Outlet tension force/kN | 3200 | 3500 | 3500 | 3300 | 3099 | 3500 | 3999 | 4000 |
| Breaking elongation/% | 1.32 | 1.37 | 1.32 | 1.39 | 1.27 | 1.32 | 1.34 | 1.33 |
| 1# roll-force/kN | 3121 | 2806 | 2252 | 2003 | 5420 | 7075 | 7233 | 6498 |
| 2# roll-force | 2051 | 2002 | 2002 | 2004 | 2450 | 2501 | 2501 | 2500 |
| Entrance tension force/kN | 3200 | 3400 | 3401 | 3300 | 1950 | 2230 | 2849 | 2850 |
| Intermediate tension/kN | 3350 | 3450 | 3450 | 3500 | 3499 | 4000 | 4578 | 4581 |
Subsequently, in step 3, the bending roller force S of the first frame, the second frame is set1、S2, incline roller η1、η2In ground state, i.e.
Subsequently, in step 4, two frames of Two-stand Temper Mill group use identical roll shape, are here not added with distinguishing.With
A, b, c, k1, δ, lz, k is roller curve parameter and optimized variable, sets the curvilinear equation of working roll and backing roll respectively.Wherein,
Set the roller curve equation of working roll as:
Set the roller curve equation of backing roll as:
Subsequently, in steps of 5, given initial curve parameter；
Subsequently, in step 6, utilize roller system elastic model, use segmentation discrete method, support roller is divided into along barrel lengthSection, band are divided intoSection, calculates the first frame, the second frame roll force distribution qbwil=6073.2,6231.8,
6414.1,6620.4,6850.2,7102.2,7374.6,7623.5,7848.1,8048.1,8223.5,8374.5,8501.3,
8604.5,8684.2,8740.9,8774.7,8786.0,8774.7,8740.9,8684.2,8604.5,8501.3,8374.5,
8223.5,8048.1,7848.1,7623.5,7374.6,7102.2,6850.2,6620.4,6414.1,6231.8,
6073.2}, qbwi2=7644.1,7635.8,7661.3,7720.8,7814.1,7939.9,8096.4,8241.2,8373.4,
8492.3,8597.4,8688.4,8765.4,8828.2,8877.0,8911.7,8932.5,8939.5,8932.5,8911.7,
8877.0,8828.2,8765.4,8688.4,8597.4,8492.3,8373.4,8241.2,8096.4,7939.9,7814.1,
7720.8,7661.3,7635.8,7644.1}, unit kN/m；
Roll-force distribution q'i1=7651.0,7276.1,6938.8,6639.0,6376.6,6150.9,5961.3,
5807.3,5688.3,5603.6,5553.0,5536.1,5553.0,5603.6,5688.3,5807.3,5961.3,6150.9,
6376.6,6639.0,6938.8,7276.1,7651.0}, q'i2=7293.9,7023.9,6778.0,6557.3,6362.2,
6193.1,6050.1,5933.2,5842.5,5777.7,5738.9,5725.9,5738.9,5777.7,5842.5,5933.2,
6050.1,6193.1,6362.2,6557.3,6778.0,7023.9,7293.9} units kN/m；
Toe-out stress distribution σ1i1=185.4,195.3,204.3,212.4,219.6,225.8,231.1,235.3,
238.7,241.0,242.5,242.9,242.5,241.0,238.7,235.3,231.1,225.8,219.6,212.4,
204.3,195.3,185.4}, σ1i2=168.7,175.3,181.5,187.1,192.1,196.5,200.3,203.3,
205.7,207.5,208.5,208.8,208.5,207.5,205.7,203.3,200.3,196.5,192.1,187.1,
181.5,175.3,168.7}, units MPa；
Subsequently, in step 7, the first frame, the second frame strip surface color difference function are calculated；
Subsequently, in step 8, it is judged that inequalityWhether set up？Obviously inequality
0.292 < 0.3 sets up, then proceed to step 9；Otherwise, readjust roller curve parameter, proceed to step 6；
Subsequently, in step 9, the first frame, the second breast roller surface chromatic aberration function are calculated；
Subsequently, in step 10, it is judged that result is less thanWhether set up？Obviously inequality
0.343 < 0.5 sets up, then proceed to step 11；Otherwise, readjust roller curve parameter, proceed to step 6；
Subsequently, in a step 11, the first frame, the second frame aberration Comprehensive Control function are calculated, this embodiment takes weight coefficient。
Subsequently, in step 12, it is judged that constraintsWhether set up？The most not
Equation 0.38 < 0.4 is set up, then proceed to step 13；Otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment,
Take；
Subsequently, in step 13, calculate the first frame, the second frame plate shape peak index；
Subsequently, at step 14, it is judged that inequalityWhether set up？Obviously inequality
0.259 < 0.45 sets up, then proceed to step 15, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take；
Subsequently, in step 15, pressure peak index between the first frame, the second breast roll is calculated,；
Subsequently, in step 16, it is judged that inequalityWhether set up？Obviously inequality
0.343 < 0.4 sets up, then proceed to step 17, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take；
Subsequently, in step 17, the first frame, the second frame draught pressure peak index are calculated；
Subsequently, in step 18, it is judged that inequalityWhether set up？Obviously inequality
0.333 < 0.4 sets up, then proceed to step 19, otherwise, readjust roller curve parameter, proceed to step 6, in this embodiment, take；
Subsequently, in step 19, calculate the first frame, the second frame plate shape and the Comprehensive Control function of roller consumption, this embodiment takes；
Subsequently, in step 20, it is judged that constraintsWhether set up？Obviously
Inequality sets up 0.346 < 0.45, then proceed to step 21；Otherwise, readjusting roller curve parameter, proceed to step 6, this implements
Example takes；
Subsequently, in step 21, calculate optimum roll shape object function;
Subsequently, in step 22, it is judged that whether Powell condition is set up？If being false, adjusting roller curve parameter, repeating
Step 6, to 21 until Powell condition is set up, terminates to calculate, draws optimum roll camber parameter of curve.
Finally, in step 23, by optimum roll camber parameter of curve
Substitute into the roller of working roll
The roller curve equation of type curvilinear equation and backing roll obtains the roller curve equation of optimum working roll:
The roller curve equation of optimum backing roll is:
。
It should be noted that above-described embodiment is only presently preferred embodiments of the present invention, be not for limiting the present invention's
Protection domain, protection scope of the present invention is as the criterion with claims.
Claims (1)
1. the roller type curve design method of a Stand Mill four roller skin pass mill group, it is characterised in that described method includes following step
Rapid:
A () collects the equipment characteristic parameter of Two-stand Temper Mill group, mainly include the first frame, the second frame working roll and support
Roller diameterWorking roll and support roller barrel lengthWorking roll bending cylinder is away from l1, l2、
Housing screw central moment L1、L2, maximum positive bending roller forceMaximum negative bending roller forceMaximum is just being inclined roller
AmountMaximum negative roller amount of incliningMaximum rolling forceMaximum mill speedWork roll surface actual hardnessRoll surface actual hardness Kb；
B () collects the ideal format product supplied materials parameter of each description scope of strip steel, including strip width lj(j=1,
2 ..., l), thickness lj(j=1,2 ..., l), yield limitBreaking elongation εj(j=1,
2 ..., l), the first frame rolling force setup value P1j(j=1,2 ..., l), second frame set rolling force setup value P2j(j
=1,2 ..., l), entrance tension force setting value T0j(j=1,2 ..., l), intermediate tension setting value T1j(j=1,2 ...,
L), outlet tension force setting value T2j(j=1,2 ..., l)；
C () sets the bending roller force S of the first frame, the second frame1、S2, incline roller η1、η2In ground state；
(d) with roller curve parameter and optimized variable, set the roller curve equation of working roll asSet the roller curve equation of backing roll asIn formula:For working roll green diameter,For work
Make roller barrel length, DbFor backing roll green diameter, LbFor backing roll barrel length, a be work roll crown value, b be cosine phase
Coefficient, c are working roll high order curve partial safety factor, k1For working roll high order curve subitem index, lzCut for backing roll roller curve
Shoulder length degree, δ be the backing roll roller curve sloping shoulders degree of depth, k be backing roll roller curve index；
E () optimizes and calculates roller curve parameter, specifically include following steps:
E1) given initial curve parameter X0={ a, b, c, k1, δ, lz, k}；Wherein: a be work roll crown value, b be cosine phase
Coefficient, c are working roll high order curve partial safety factor, k1For working roll high order curve subitem index, lzCut for backing roll roller curve
Shoulder length degree, δ be the backing roll roller curve sloping shoulders degree of depth, k be backing roll roller curve index；
E2) utilize roller system elastic model, use segmentation discrete method, be divided into n section, band to be divided into m section along barrel length on support roller,
Calculate the first frame, the second frame roll force distributionRoll-force is distributedToe-out stress distribution
E3) the first frame, the second frame strip surface color difference function F are calculateds1(X)、Fs2(X), its mathematical model is:K in formula0Resist for standard transformations
Power, takes k0=180-220Mpa, k are the practical distortion drag of band, and a is weight coefficient, a=0.6；
E4) inequality max{F is judgeds1(X), Fs2(X) } ＜ ks, ksIt is band aberration marginal value, ks=0.2～0.3, if become
Vertical, if inequality is set up, then proceed to step e5), otherwise, readjust roller curve parameter, proceed to step e2)；
E5) the first frame, the second breast roller surface chromatic aberration function are calculatedIts mathematical model is:K in formula0For standard roller surface hardness, take K0=1100～
1200Mpa,For work roll surface actual hardness, KbFor roll surface actual hardness；
E6) judged result is less than It is roll aberration marginal value, ks=0.4～0.5, if
Set up, if inequality is set up, then proceed to step e7), otherwise, readjust roller curve parameter, proceed to step e2)；
E7) the first frame, the second frame aberration Comprehensive Control function F are calculated1(X)、F2(X), its mathematical model isWherein β is weight coefficient,
E8) constraint IF condition | (F1(X)-F2(X))/F1(X) | ＜ λ, λ are constant, take 0.1-0.5, if set up, if not
Equation is set up, then proceed to step e9)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E9) the first frame, the second frame plate shape peak index are calculatedK=1,2 represent shelf number, and its mathematical model is
E10) inequality max{g is judged1k' (X) (k=1,2) }≤kst, kstIt is whether to allow forward pull cross direction profiles peak-peak
Set up, if inequality is set up, then proceed to step e11), otherwise, readjust roller curve parameter, proceed to step e2)；
E11) pressure peak index g between the first frame, the second breast roll is calculated2k' (X), k=1,2 represent shelf number, its mathematical modulo
Type is
E12) inequality max{g is judged2k' (X) (k=1,2) }≤ksq, ksqIt is to allow roll force distribution cross direction profiles maximum peak
Whether value is set up, if inequality is set up, then proceeds to step e13), otherwise, readjust roller curve parameter, proceed to step
e2)；E13) the first frame, the second frame draught pressure peak index are calculatedK=1,2 represent shelf number, its mathematics
Model is
E14) inequality max{g is judged3k' (X) (k=1,2) }≤ksj, ksqIt is to allow draught pressure distribution cross direction profiles maximum peak
Whether value is set up, if inequality is set up, then proceeds to step e15), otherwise, readjust roller curve parameter, proceed to step
e2)；E15) the first frame, the second frame plate shape and the Comprehensive Control function G of roller consumption are calculated1(X)、G2(X), its mathematical model is G
(X)=a1·g1(X)+a2·g2(X)+a3·g3(X), a in formula1, a2, a3For weight coefficient, meet a1+a2+a3=1, g1(X) generation
Dash board shape uniformity index, g2(X) roll gap pressure uniformity index, g are represented3(X) draught pressure uniformity index is represented, its number
Expression formula is:
E16) constraint IF condition For constant, take 0.1-0.5, if set up, if
Inequality is set up, then proceed to step e17)；Otherwise, readjust roller curve parameter, proceed to step e2)；
E17) optimum roll shape object function is calculated:
γ in formulajFor specification product in jth
Weight coefficient, the production yields of each specification product ratio in total output determine；
E18) judge whether Powell condition is set up, if being false, adjusting roller curve parameter, repeating step e2) to e17) straight
Set up to Powell condition, terminate to calculate, draw optimum roll camber parameter of curve；
F optimum roll camber parameter of curve is substituted into and obtains optimum working roll and the roller curve equation of backing roll by ().
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| CN106734246B (en) * | 2016-11-21 | 2019-03-05 | 首钢京唐钢铁联合有限责任公司 | Method for reducing chromatic aberration of cold-rolled dual-phase steel |
| CN108144971A (en) * | 2016-12-05 | 2018-06-12 | 上海梅山钢铁股份有限公司 | It is suitable for roll profile optimization method of the six roller tandem mills with the prevention of quick-fried roller for target |
| CN114101384B (en) * | 2020-08-31 | 2024-01-09 | 宝山钢铁股份有限公司 | Tensioning force control method for plate and strip welding seam passing through leveling machine and tensioning roller |
| CN112355057B (en) * | 2020-10-20 | 2021-11-19 | 燕山大学 | Roller supporting roller for controlling edge shoulder-off and meat falling |
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