CN106513613B - One kind being based on parabolic path continuous casting crystallizer for plate billet hot width adjusting method online - Google Patents
One kind being based on parabolic path continuous casting crystallizer for plate billet hot width adjusting method online Download PDFInfo
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- CN106513613B CN106513613B CN201611226381.0A CN201611226381A CN106513613B CN 106513613 B CN106513613 B CN 106513613B CN 201611226381 A CN201611226381 A CN 201611226381A CN 106513613 B CN106513613 B CN 106513613B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
- B22D11/168—Controlling or regulating processes or operations for adjusting the mould size or mould taper
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/04—Continuous casting of metals, i.e. casting in indefinite lengths into open-ended moulds
- B22D11/05—Continuous casting of metals, i.e. casting in indefinite lengths into open-ended moulds into moulds having adjustable walls
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Abstract
, pre-generated parabola tune broad gauge mark x (y) present invention provides a kind of continuous cast mold based on parabolic path hot width adjusting method online, comprising the following steps: (1);(2), narrow side upper end, narrow side lower end are run by its respective initial point by corresponding parabola tune broad gauge mark x (y);(3), narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey;Wherein, y indicates transition wedge base length;Narrow side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=xb0+ x (y-h) operation;Wherein, h indicates the effective height of crystallizer.The object of the present invention is to provide one kind to be based on parabolic path continuous casting crystallizer for plate billet hot width adjusting method online, allow to realize the online width fast adjustment of crystallizer under the conditions of full pulling rate, meet the requirement of slab width specifications variation, at the same avoid adjusting it is wide during mould at narrow copper sheet to slab shell it is excessive squeeze caused by casting blank defect or narrow side copper sheet and slab shell excessive air gap caused by bleed-out risk.
Description
Technical field
The invention belongs to metallurgical continuous casting fields, hot online more particularly to a kind of continuous cast mold based on parabolic path
Width adjusting method.
Background technique
In the production line of molten steel continuous casting, in order to meet the needs of different in width slab, crystallizer width must be with
The width of slab and adjust.Traditional width adjusting method is to interrupt production replacement section, and every conticaster stops every year because of replacement section
Machine over one hundred time, the tens of thousands of tons of yield are influenced, direct economic benefit loses up to ten million members.How user small lot, more specification are adapted to
Product demand becomes iron and steel enterprise's important topic.The hot width control technology of crystallizer comes into being, and this technique avoids traditional replacements
Crystallizer, secondary open pour bring raw material and the loss of time, improve utilization rate of equipment and installations, recovery rate of iron, reduce production
Cost is the core technology that industry is paid high attention to.
When crystallizer carries out heat tune width, mobile narrow side changes slab width specifications, excessive extruding meeting under strip water bar part
The defects of cracking, excessive air gap influence the solidification and uniformity of green shell, bleed-out are caused when serious, technical difficulty is high, wind
Danger is big.The technology is monopolized by the external first-class project such as Voestalpine, Nippon Steel, Da Nieli company always for a long time, seriously constrains me
The competitiveness in the international market of the development of state's continuous casting process and control technology and engineering technology company, China in continuous-casting art.
Patent CN102294455A disclose a kind of slab caster mould do not stop be poured the wide side of high speed short side tune
Method, the crystallizer width that patent CN102240783A, CN102240783A, CN102240788A etc. disclose different range increase
Or the method for reduction.The relatively complicated complexity of design of such method tune broad gauge mark, and be unfavorable for adjusting wide control, therefore be difficult in reality
It is able to apply and promote in engineering project.
With the development of continuous casting process, hot width control technology has been increasingly becoming continuous casting system standard configuration technology to crystallizer online, because
This, it is a kind of efficiently, it is simple, flexibly, the hot width control technology of crystallizer of safety and method seemed for production scene
Very urgently need and it is necessary to.
Summary of the invention
In view of the foregoing deficiencies of prior art, the object of the present invention is to provide one kind is connected based on parabolic path slab
Crystallizer hot width adjusting method online is cast, allows to realize the online width fast adjustment of crystallizer under the conditions of full pulling rate, meets casting
The requirement of base width specifications variation, at the same avoid adjusting it is wide during mould at narrow copper sheet to slab shell it is excessive squeeze caused by
Bleed-out risk caused by the excessive air gap of casting blank defect or narrow side copper sheet and slab shell.
In order to achieve the above objects and other related objects, the present invention provides a kind of based on the crystallization of parabolic path sheet billet continuous casting
Device hot width adjusting method online, comprising the following steps:
(1), parabola tune broad gauge mark x (y) is pre-generated;
(2), narrow side upper end, narrow side lower end are transported by its respective initial point by corresponding parabola tune broad gauge mark x (y)
Row;
(3), narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey;
Wherein, y indicates transition wedge base length.
Further, narrow side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=
xb0+ x (y-h) operation;Wherein, h indicates the effective height of crystallizer.
Further, the parabola tune broad gauge mark x (y) is made of two sections of parabolas, and two sections of parabolical intersection points are
(x1,y1)。
Further, the parabola tune broad gauge mark x (y) is in its intersection point (x1,y1) continuously, and change concavity and convexity in the point.
Further, the mathematic(al) representation of the parabola tune broad gauge mark x (y) is as follows:
In formula, x indicates the variable quantity of slab width;
Since y indicate the transition wedge base length adjusting width;
vcsIt indicates in the Actual Casting Speed for generating parabola tune broad gauge mark x (y) this moment;
α1, α2Respectively indicate the tune width acceleration of first, second section of parabola tune broad gauge mark;
vxMaxIt indicates maximum and adjusts wide speed;
J indicates to adjust wide acceleration.
Further, the mathematic(al) representation for adjusting wide acceleration is as follows:
In formula, w indicates the half of crystallizer slab width, its calculation formula is: w=min (wdst,wsrc)/2;
wsrcIndicate the original width of slab, wdstIndicate the target width of slab;
Indicate slab critical strain rate;
K indicates that safety coefficient, value range are 1.2~1.4;
The effective height of h expression crystallizer.
Further, the mathematic(al) representation for adjusting wide acceleration J is as follows:
Further, first segment transition wedge corresponding with the first segment parabola of the parabola tune broad gauge mark x (y)
Base length y1, first segment tune width is from x1Mathematic(al) representation it is as follows,
Second segment transition wedge base length y corresponding with the second segment parabola of the parabola tune broad gauge mark x (y)2,
Second segment tune width is from x2Mathematic(al) representation it is as follows,
Wherein,
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
Further, maximum to adjust wide speed vxMaxMathematic(al) representation it is as follows:
Wherein,
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
Further, as follows to the mathematic(al) representation for adjusting width to terminate the transition wedge base length y since adjusting width:
Y=y1+y2
Practical to adjust in width, the mathematic(al) representation of the transition wedge base length y is as follows:
Y=∫0 tvcdt
In formula, vcIt indicates to adjust the Actual Casting Speed during width.
Using the above method: 1, parabola tune broad gauge mark x (y) is elementary function, and elementary function connects in its domain
It is continuous, and by the calculating of the limit it is found that in intersection point (x1,y1) also continuous, so parabola tune broad gauge mark x (y) is smooth continuous,
That is x is to adjust mould at narrow copper sheet during width to be close to casting continuously without mutation with the variation of y during adjusting wide
Green shell movement, then casting blank deformation and air gap are minimum, to avoid bleed-out wind caused by the excessive air gap of narrow side copper sheet and slab shell
Danger;
2, by the physical significance of each variable of parabola tune broad gauge mark x (y) it is found that x is to adjust wide speed to the differential of time t
Degree, and y is pulling rate to the differential of time t, thus be easy to prove in the case where pulling rate is constant (i.e. x to the second dervative of t with
Pulling rate is related), the wide acceleration of tune is constant, so adjusting wide speed is acceleration or equal retarded motion, speed is without mutation;Again due to two
The tune width acceleration of section parabola tune broad gauge mark is invariable, then by power and the relationship of acceleration it is found that then slab is due to adjusting
Resistance of deformation produced by extruding of the broad crystallisation device to slab is uniform and stable, and narrow side copper sheet is uniformly steady to the support of slab shell in other words
It is fixed, to avoid casting blank defect caused by excessive extruding of the mould at narrow copper sheet to slab shell.
As described above, the invention has the following advantages:
1, it adjusts wide speed fast, adjusts wide speed up to unilateral side 100mm/min;
2, adjust wide cut degree big, it is unrestricted on single tune wide cut topology degree;
3, due to adjusting wide speed fast, so that the cutting loss of transition wedge base is minimum;
4, it can complete to adjust width within the scope of full pulling rate, without reducing pulling rate;
5, the air gap during entire tune is wide between narrow side copper sheet and slab is minimum, and narrow side is equal to slab shell supporting & stablizing
It is even, various steel grades are adapted to, avoid bleed-out risk, it is ensured that production safety.
Other advantages, target and feature of the invention will be illustrated in the following description to a certain extent, and
And to a certain extent, based on will be apparent to those skilled in the art to investigating hereafter, Huo Zheke
To be instructed from the practice of the present invention.Target of the invention and other advantages can be realized by following specification and
It obtains.
Detailed description of the invention
Fig. 1 is crystallizer tune wide track schematic diagram when width increases;
Fig. 2 is crystallizer tune wide track schematic diagram when width reduces.
Specific embodiment
Embodiments of the present invention are illustrated by particular specific embodiment below, those skilled in the art can be by this explanation
Content disclosed by book is understood other advantages and efficacy of the present invention easily.
Fig. 1, Fig. 2 are please referred to, in order to describe the present invention in detail, next the present invention is illustrated: continuous casting
The tune width of crystallizer is adjusted to the width between the narrow side copper sheet of crystallizer two sides.So the narrow side that narrow side upper end refers to
Copper sheet upper end, narrow side lower end refer to narrow side copper sheet lower end.Since the narrow side copper sheet of two sides is symmetrical, so in drawings and examples
The narrow side copper sheet of side is only described.
In addition, broad gauge mark is adjusted due to needing to generate, so needing to establish rectangular coordinate system.Again due to the narrow side copper sheet of two sides
Symmetrically, so for the convenience of description, the Y-axis of coordinate system is located in the centre of two sides narrow side copper sheet, make two sides narrow side copper sheet about Y
Axial symmetry, and X-axis intersects with narrow side copper sheet lower end.
In this way, the track of the narrow side copper sheet of description side.If original width 1800mm, target width 2100mm, that
The wide degree of the tune of the narrow side copper sheet of two sides is exactly 300mm, and the wide degree of the tune of side narrow side copper sheet is equal to x1+x2=Δ x=
150mm.Similarly, it is determined that reference axis, then the initial point x of narrow side lower endb0It is equal to 900mm, and narrow side upper end xt0Value sheet
Field technical staff can voluntarily calculate according to the taper of narrow side copper sheet.
One kind being based on parabolic path continuous casting crystallizer for plate billet hot width adjusting method online, comprising the following steps:
(1), parabola tune broad gauge mark x (y) is pre-generated, the mathematic(al) representation of the parabola tune broad gauge mark x (y) is as follows:
By above-mentioned mathematic(al) representation or Fig. 1, Fig. 2 it is found that parabola tune broad gauge mark x (y) is made of two sections of parabolas,
That is first segment parabola tune broad gauge mark, second segment parabola tune broad gauge mark.For convenience of description, be referred to as first segment parabola,
Second segment parabola.I.e. first segment parabola, expression formula areThe value range y ∈ (0, y of independent variable y1];The
Two sections of parabolas, expression formula areThe value range y ∈ (y of independent variable y1,y1
+y2)。
Two sections of parabolical intersection points are (x1,y1).By calculating the limit, derivative or observing Fig. 1, Fig. 2 it is found that parabola
Adjust broad gauge mark x (y) in intersection point (x1,y1) continuously, and parabola tune broad gauge mark x (y) is in (x1,y1) change concavity and convexity, in other words
(x1,y1) be parabola tune broad gauge mark x (y) inflection point.
In the formula of parabola tune broad gauge mark x (y), x indicates the variable quantity of slab width, due to parabola tune broad gauge mark x
(y) the narrow side copper sheet of side is only described, correspondingly, the variable quantity of slab width represented by x also refers to the variation of slab side
Amount, and the variable quantity of other side is by symmetry.Again since slab width is become according to the width of two sides narrow side copper sheet
Change and change, so, x can also be regarded as the tune width of the narrow side copper sheet of side from.
Since y indicate the length of the transition wedge base adjusting width, value range y ∈ (0, y1+y2);
vcsIt indicates in the Actual Casting Speed for generating parabola tune broad gauge mark x (y) this moment;
α1, α2Respectively indicate the tune width acceleration of first, second section of parabola tune broad gauge mark;
vxMaxIt indicates maximum and adjusts wide speed;
J indicates to adjust wide acceleration, dimensionless.
In (1) step, it is necessary first to it calculates and adjusts wide acceleration,
Adjust the mathematic(al) representation of wide acceleration as follows:
In formula, w indicates the half of crystallizer slab width, its calculation formula is: w=min (wdst,wsrc)/2;
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
Indicate that slab critical strain rate, value are related to steel grade.
K indicates that safety coefficient, value range are 1.2~1.4, and specific value is as follows:
The increased tune of width is wider than journey, α1Safety coefficient k capping 1.4, α2Safety coefficient k remove the limit 1.2;
The tune that width reduces is wider than journey, α1Safety coefficient k remove the limit 1.2, α2Safety coefficient k capping 1.4.
H indicates the effective height of crystallizer, and the effective height of crystallizer refer to crystallizer bottom plate to liquid steel level away from
From.
Then, it calculates and adjusts wide acceleration J,
Adjust the mathematic(al) representation of wide acceleration J as follows:
Since parabola tune broad gauge mark x (y) is two sections, then accordingly, transition wedge base can also be divided into two sections, i.e., the
One section of transition wedge base, the length is y1, correspond to first segment parabola.Second segment transition wedge base, the length is y2, corresponding
In second segment parabola.
Similarly, adjust width from or slab width variation x can also be divided into two sections, i.e., first segment tune width is from x1, second
Section adjusts width from x2。
Mathematic(al) representation is as follows,
Wherein,
Finally, also to calculate the wide speed v of maximum tunexMax,
Maximum adjusts wide speed vxMaxMathematic(al) representation it is as follows:
By α obtained by above-mentioned calculating1, α2, J, x1, x2, y1, y2, vxMaxIt brings parabola tune broad gauge mark x (y) into, obtains specific
Parabola tune broad gauge mark x (y).
(2), narrow side upper end, narrow side lower end are transported by its respective initial point by corresponding parabola tune broad gauge mark x (y)
Row;
I.e. narrow side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=xb0+x(y-
H) it runs.
(3), narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey.
That is transition wedge base length y reaches y1+y2When, then the tune width of the narrow side copper sheet of side also reaches x from x simultaneously1
+x2At this moment=Δ x adjusts wide complete.
It can be seen from the above, either width increases or the tune of reduction is wider than journey, at a time T, generates parabola
It adjusts broad gauge mark x (y), then, determine that the functional relation between x-y.
Functional relation determine after, narrow side upper end, narrow side lower end position x only become with the variation of transition wedge base length y
Change, that is to say, that narrow side upper end, narrow side lower end position be to be changed with transition wedge base by the length that crystallizer pulls out.
And this variation is divided into two sections, i.e. first segment parabola, the length of transition wedge base increases to y from 01, accordingly
Narrow side upper end is by xt0Become xt0+x(y1), narrow side lower end is by xb0Become xb0+x(y1-h);Second segment parabola, transition wedge base
Length from y1Increase to y1+y2, corresponding narrow side upper end is by xt0+x(y1) become xt0+x(y1+y2), narrow side lower end is by xb0+x
(y1- h) become xb0+x(y1+y2-h)。
Similarly, since the functional relation between x-y has been determined, tune broad gauge mark has also been determined that, which will not be with
The variation of Actual Casting Speed and change.So allow Actual Casting Speed to fluctuate in a certain range during adjusting wide, it can when pulling
Transition wedge base length is calculated as follows,
vcIt indicates to adjust the Actual Casting Speed during width.
In the calculating of transition wedge base length, it is known that, terminate in overall process since adjusting width to tune is wide, transition wedge
The mathematic(al) representation of base length y is as follows:
Y=y1+y2
And actually adjusting in width, the mathematic(al) representation of transition wedge base length y is as follows:
Y=∫0 tvcdt
So, practical to adjust in width, with wide progress is adjusted, when transition wedge base lengthWhen, this
When, narrow side upper end, narrow side lower end similarly reach target position, i.e. tune width terminates.
Embodiment 1
As shown in Fig. 1, the present embodiment 1 is that the increased tune of width is wider than journey, if original width wsrc=1800mm, target
Width wdst=2100mm.
Firstly, it is necessary to which steel grade etc. determines the tune width acceleration of first, second section of parabola tune broad gauge mark according to current pulling rate
α1,α2,
If adjusting pulling rate v before widthcs=1.2m/min;
W=min (wdst,wsrc)/2;
Crystallizer effective height 800mm;
Mild steel critical strain rate
The increased tune of width is wider than journey, α1Safety coefficient k capping 1.4, α2Safety coefficient k remove the limit 1.2.
Unified dimension, brings calculating into,
It obtains:
α1=63.6mm/min2,
α2=74.3mm/min2;
Again by
It brings calculating into, first obtains Δ x=150mm, then by α1, α2Value bring into, finally obtain
First segment wedge shape base length y1=1.91m, first segment tune width is from x1=80.8mm;
Second segment wedge shape base length y2=1.64m, second segment tune width is from x2=69.2mm;
Maximum adjusts wide speed vxMax=101mm/min;
Transition wedge base length y is equal to the sum of first segment wedge shape base length and second segment wedge shape base length, so transition wedge
Shape base length y=3.55m,
It calculates and adjusts wide acceleration
Due in the present embodiment, being that the increased tune of width is wider than journey, original width wsrc=1800mm, target width wdst
=2100mm, i.e. wdst>wsrc。
Then specific parabola tune broad gauge mark x (y) such as following formula:
2, narrow side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=xb0+x(y-
H) it runs;
3, narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey.
It is narrow side upper end, narrow when y reaches 3.55m since the variation of narrow side upper end or narrow side lower end is only related with the value of y
Side lower end reaches target position, then adjusts wide completion.
Embodiment 2
As shown in Fig. 2, the present embodiment 2 is that the tune that width reduces is wider than journey, if original width wsrc=2400mm, target are wide
Spend wdst=2000mm.
Firstly, it is necessary to which steel grade etc. determines the tune width acceleration of first, second section of parabola tune broad gauge mark according to current pulling rate
α1,α2,
If adjusting pulling rate v before widthcs=1.2m/min;
W=min (wdst,wsrc)/2;
Crystallizer effective height 800mm;
Mild steel critical strain rate
Due to being that the tune that width reduces is wider than journey, α1Safety coefficient k remove the limit 1.2, α2Safety coefficient k capping
1.4;
Adjust wide acceleration
It brings calculating into, obtains
α1=82.5mm/min2, α2=70.7mm/min2;
Adjust wide distance, delta x=200mm;
First segment wedge shape base length y1=1.8m, first segment tune width is from x1=92mm;
Second segment wedge shape base length y2=2.09m, second segment tune width is from x2=108mm;
Transition wedge base length y=3.89m;
Maximum adjusts wide speed vxMax=123mm/min;
Obtain specific parabola tune broad gauge mark x (y) such as following formula:
2, narrow side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=xb0+x(y-
H) it runs;
3, narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey.
Finally, it is stated that the above examples are only used to illustrate the technical scheme of the present invention and are not limiting, although referring to compared with
Good embodiment describes the invention in detail, those skilled in the art should understand that, it can be to skill of the invention
Art scheme is modified or replaced equivalently, and without departing from the objective and range of the technical program, should all be covered in the present invention
Scope of the claims in.
Claims (9)
1. a kind of continuous cast mold based on parabolic path hot width adjusting method online, which comprises the following steps:
(1), parabola tune broad gauge mark x (y) is pre-generated, parabola tune broad gauge mark x (y) is parabola;
(2), narrow side upper end, narrow side lower end are run by its respective initial point by corresponding parabola tune broad gauge mark x (y);
(3), narrow side upper end, narrow side lower end reach target position, complete tune and are wider than journey;
The mathematic(al) representation of the parabola tune broad gauge mark x (y) is as follows:
In formula, x indicates the variable quantity of slab width,
Since y indicate the transition wedge base length adjusting width;
vcsIt indicates in the Actual Casting Speed for generating parabola tune broad gauge mark x (y) this moment;
α1, α2Respectively indicate the tune width acceleration of first, second section of parabola tune broad gauge mark;
vxMaxIt indicates maximum and adjusts wide speed;
J indicates to adjust wide acceleration;
y1Indicate the corresponding first segment transition wedge base length of first segment parabola of parabola tune broad gauge mark x (y);
y2Indicate the corresponding second segment transition wedge base length of second segment parabola of parabola tune broad gauge mark x (y).
2. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that narrow
Side upper end is by initial point xt0By x=xt0+ x (y) operation, narrow side lower end is by initial point xb0By x=xb0+ x (y-h) operation;Wherein, h
Indicate the effective height of crystallizer.
3. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that institute
It states parabola tune broad gauge mark x (y) to be made of two sections of parabolas, two sections of parabolical intersection points are (x1,y1)。
4. the hot width adjusting method online of the continuous cast mold based on parabolic path as claimed in claim 3, which is characterized in that institute
Parabola tune broad gauge mark x (y) is stated in its intersection point (x1,y1) continuously, and change concavity and convexity in the point.
5. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that institute
It states and adjusts the mathematic(al) representation of wide acceleration as follows:
In formula, w indicates the half of crystallizer slab width, its calculation formula is: w=min (wdst,wsrc)/2;
wsrcIndicate the original width of slab, wdstIndicate the target width of slab;
Indicate slab critical strain rate;
K indicates that safety coefficient, value range are 1.2~1.4;
The effective height of h expression crystallizer.
6. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that institute
It states and adjusts the mathematic(al) representation of wide acceleration J as follows:
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
7. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that with
The corresponding first segment transition wedge base length y of the first segment parabola of the parabola tune broad gauge mark x (y)1, first segment tune is wide
Distance x1Mathematic(al) representation it is as follows,
Second segment transition wedge base length y corresponding with the second segment parabola of the parabola tune broad gauge mark x (y)2, second
Section adjusts width from x2Mathematic(al) representation it is as follows,
Wherein,
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
8. the hot width adjusting method online of the continuous cast mold based on parabolic path as described in claim 1, which is characterized in that most
It is big to adjust wide speed vxMaxMathematic(al) representation it is as follows:
Wherein,
wsrcIndicate the original width of slab, wdstIndicate the target width of slab.
9. the hot width adjusting method online of the continuous cast mold based on parabolic path as claimed in claim 7, which is characterized in that from
Adjust the wide mathematic(al) representation for starting to tune width to terminate the transition wedge base length y as follows:
Y=y1+y2
Practical to adjust in width, the mathematic(al) representation of the transition wedge base length y is as follows:
In formula, vcIt indicates to adjust the Actual Casting Speed during width.
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