CN104128575A - Method and device for obtaining continuous taper of upper datum parabola of crystallizer - Google Patents

Method and device for obtaining continuous taper of upper datum parabola of crystallizer Download PDF

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CN104128575A
CN104128575A CN201410400711.8A CN201410400711A CN104128575A CN 104128575 A CN104128575 A CN 104128575A CN 201410400711 A CN201410400711 A CN 201410400711A CN 104128575 A CN104128575 A CN 104128575A
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crystallizer
tapering
length
reading
total
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CN104128575B (en
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陈洪智
徐永斌
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Wisdri Engineering and Research Incorporation Ltd
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Wisdri Engineering and Research Incorporation Ltd
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Abstract

The invention belongs to the field of steel making continuous casting and provides a method and device for obtaining the continuous taper of an upper datum parabola of a crystallizer. The method comprises the steps that the taper at the position of an upper opening of the crystallizer is worked out; the total taper in the length direction of the crystallizer is worked out; according to the taper at the position of the upper opening of the crystallizer and the total taper, the taper at any position away from the upper opening in the length direction is worked out. According to the crystallizer manufactured by the adoption of the method and device for obtaining the continuous taper of the upper datum parabola of the crystallizer, an inner casting blank and the wall surface of the crystallizer are in good contact with each other at any position, high heat transfer efficiency between the casting blank and the crystallizer is achieved, in this way, the quality of a casting blank is improved, the casting speed is increased, and an important guarantee is provided for efficient continuous casting.

Description

The continuous tapering acquisition methods of benchmark parabola and device on a kind of crystallizer
Technical field
The invention belongs to steel-making continuous casting field, relate in particular to the continuous tapering acquisition methods of benchmark parabola and device on a kind of crystallizer.
Background technology
Crystallizer is the heart of conticaster, and formulate conical degree of crystallizer, is the core of crystallizer design process, and the reasonability of its formulation is directly determining the attainable pulling rate scope of conticaster and the slab quality of casting.If conical degree of crystallizer arranges too smallly, can make the easy air gap that produces between base shell and crystallizer wall, thereby affect the heat transfer between strand and crystallizer, the inhomogeneous growth that causes base shell in crystallizer, the air gap that the inhomogeneities of this shell growth process can be aggravated between base shell and crystallizer wall conversely produces, and then produces such as slab quality problems such as Longitudinal Surface Cracks; If conical degree of crystallizer arranges too much, can aggravate the wearing and tearing to copper plate of crystallizer, increase resistance of billet withdrawal simultaneously, and then produce such as slab quality problems such as surperficial transverse fissures; And all these are because tapering arranges, the unreasonable impact bringing all can produce restriction to casting speed.For this reason, reasonably formulate the realistic meaning that the tapering of crystallizer in casting process has highly significant.
Summary of the invention
In view of the above problems, the object of the present invention is to provide the continuous tapering acquisition methods of benchmark parabola and device on a kind of crystallizer, be intended to solve in prior art scheme due to tapering arrange improper, make base shell and the loose contact of crystallizer wall of strand in crystallizer good, affect the technical problem of slab quality.
On the one hand, on described crystallizer, the continuous tapering acquisition methods of benchmark parabola comprises the steps:
Calculate crystallizer position of upper tapering;
Calculate total tapering of length of mould direction;
According to described position of upper tapering and total tapering, calculate the tapering in length direction distance any position suitable for reading.
On the other hand, on described crystallizer, the continuous tapering acquisition device of benchmark parabola comprises:
Tapering computing unit suitable for reading, for calculating crystallizer position of upper tapering;
Total tapering computing unit, for calculating total tapering of length of mould direction;
Tapering distribution computing unit, uses according to described position of upper tapering and total tapering, calculates the tapering in length direction distance any position suitable for reading.
The invention has the beneficial effects as follows: the theoretical foundation that the present invention is based on the process of billet withdrawal of hot-cast base in crystallizer, total tapering of take in length of mould direction is starting point, obtain the continuous cast mold of the continuous tapering of benchmark parabola, in crystallizer, the base shell of strand and crystallizer wall what position in office all keeps good contact, realized heat transfer efficiency high between strand and crystallizer, thereby improved slab quality, promoted casting speed, for realizing high efficiency continuous casting, provide important guarantee.
Accompanying drawing explanation
Fig. 1 is the flow chart of the continuous tapering acquisition methods of benchmark parabola on the crystallizer that provides of the embodiment of the present invention;
Fig. 2 is the crystallizer vertical profile structure chart that the embodiment of the present invention provides;
Fig. 3 is apart from crystallizer position of upper and crystallizer internal cavity size length of side S in example one xcurve relation figure;
Fig. 4 is apart from crystallizer position of upper and crystallizer internal cavity size length of side S in example two xcurve relation figure;
Fig. 5 is the block diagram of the continuous tapering acquisition device of benchmark parabola on the crystallizer that provides of the invention process.
The specific embodiment
In order to make object of the present invention, technical scheme and advantage clearer, below in conjunction with drawings and Examples, the present invention is further elaborated.Should be appreciated that specific embodiment described herein, only in order to explain the present invention, is not intended to limit the present invention.
For technical solutions according to the invention are described, below by specific embodiment, describe.
Fig. 1 shows the continuous tapering acquisition methods of benchmark parabola flow process on the crystallizer that the embodiment of the present invention provides, and only shows for convenience of explanation the part relevant to the embodiment of the present invention.
On the crystallizer that the present embodiment provides, the continuous tapering acquisition methods of benchmark parabola comprises the steps:
Step S101, calculating crystallizer position of upper tapering;
Total tapering of step S102, calculating length of mould direction.
With reference to the crystallizer vertical profile structure shown in Fig. 2, and set up XYZ coordinate system according to diagram, the selection of the origin of coordinates should make the T trying to achieve 1meet the solidification shrinkage characteristic of current cast steel grade in crystallizer with the value of T.According to casting blank solidification, meet square root law, and crystallizer change in size and strand contraction phase work as, and the expression formula that can obtain crystallizer position of upper tapering and total tapering according to the definition of conical degree of crystallizer is respectively as shown in formula (1) and formula (2):
T 1 = k a x 1 × 10 5 - - - ( 1 )
T = 2 k ( x 2 - x 1 ) aL × 10 5 - - - ( 2 )
Wherein k is steel grade coefficient, conventionally gets 0~20mm 1/2, a is the crystallizer length of side suitable for reading, x 1for crystallizer coordinate suitable for reading, x 2for crystallizer end opening coordinate, L is crystallizer total length.
Step S103, according to described position of upper tapering and total tapering, calculate the tapering in length direction distance any position suitable for reading.
By formula (1), can be obtained:
k = T 1 a x 1 × 10 - 5 - - - ( 3 )
In addition, there is geometrical relationship:
L=x 2-x 1 (4)
In conjunction with formula (2), formula (3) and formula (4), can obtain:
TL = 2 T 1 x 1 ( x 2 - x 1 ) = T ( x 2 + x 1 ) ( x 2 - x 1 ) - - - ( 5 )
Can obtain thus:
2 T 1 x 1 = T ( x 2 + x 1 )
Further known:
x 1 x 2 = ( T 2 T 1 - T ) 2 - - - ( 6 )
Simultaneous formula (4) and formula (6), can obtain:
x 1 = T 2 L 4 T 1 ( T 1 - T ) , x 2 ( 2 T 1 - T ) 2 L 4 T 1 ( T 1 - T ) - - - ( 7 )
Substitution formula (3), can obtain:
k = T 1 Ta L 2 T 1 ( T 1 - T ) × 10 - 5 - - - ( 8 )
According to the definition of conical degree of crystallizer, in conjunction with formula (7) and formula (8), the tapering Tx that can obtain any position in crystallizer is:
T x = 2 k ( x 1 + x + Δx - x 1 + x ) a ( x 1 + x + Δx - x 1 - x ) × 10 5 = 2 k a ( x 1 + x + Δx - x 1 + x Δx ) × 10 5 = 2 k a ( x 1 + x ) / × 10 5 = T 1 T L 2 T 1 ( T 1 - T ) 1 x 1 + x = T 1 T L 2 T 1 ( T 1 - T ) 1 T 2 L 4 T 1 ( T 1 - T ) + x - - - ( 9 )
Finally according to the continuous tapering of length of mould direction, distribute, make corresponding crystallizer.When using this crystallizer to carry out steel-making continuous casting, in crystallizer, the base shell of strand and crystallizer wall what position in office all keeps good contact, realized heat transfer efficiency high between strand and crystallizer, thereby improved slab quality, promote casting speed, for realizing high efficiency continuous casting, provide important guarantee.
Be further used as preferably, this implementation method also comprises the steps:
Step S104, according to described position of upper tapering and total tapering, calculate the crystallizer internal cavity length of side in length direction distance any position suitable for reading.
In step S103, according to the position of upper tapering obtaining and total tapering, calculate the tapering distribution of crystallizer in the longitudinal direction, can distribute and determine the structure of crystallizer by tapering.Can certainly distribute by the inner chamber length of side of crystallizer and determine the structure of crystallizer.In this preferred steps, by position of upper tapering and total tapering, calculate the crystallizer internal cavity length of side and distribute.
According to formula (7) and (8), can calculate apart from crystallizer distance suitable for reading is the inner chamber length of side S at x place xas follows:
S x = a - 2 k ( x 1 + x - x 1 ) = a ( 1 - T 1 T L T 1 ( T 1 - T ) ( T 2 L 4 T 1 ( T 1 - T ) + x - T 2 L 4 T 1 ( T 1 - T ) ) × 10 - 5 ) - - - ( 10 )
Provide two concrete calculated examples below.
Example one:
Casting high-carbon steel, the square billet that casting blank specification is 200mm * 200mm, length of mould is 900mm, the crystallizer 203.27mm that is of a size of suitable for reading, crystallizer position of upper is 37.5mm.
As the above analysis, L=900mm, a=203.27mm, x 1=37.5mm, x 2=937.5mm; Correspondingly get k=0.0385mm 1/2.
1.1 calculate crystallizer position of upper tapering T 1:
T 1 = k a x 1 × 10 5 = 3.09 % / m ;
1.2 calculate the total tapering T in length of mould direction:
T = 2 k ( x 2 - x 1 ) aL × 10 5 = 1.03 % / m ;
1.3 calculate the crystallizer internal cavity length of side S apart from any position x suitable for reading x:
S x = 203.7411 - 0.07693 37.5 + x mm ;
1.4 calculate apart from the tapering T of any position of any position x suitable for reading x:
T x = 18.9223 37.5 + x % / m ;
Apart from crystallizer position of upper x and crystallizer internal cavity size length of side S xcurved line relation as shown in Figure 3.
Example two:
Cast alloys steel, the square billet that casting blank specification is 600mm * 600mm, length of mould is 900mm, the crystallizer 610.73mm that is of a size of suitable for reading, crystallizer position of upper is 37.5mm.
As the above analysis, L=900mm, a=610.73mm, x 1=37.5mm, x 2=937.5mm; Correspondingly get k=0.1346mm 1/2.
2.1 calculate crystallizer position of upper tapering T 1:
T 1 = k a x 1 × 10 5 = 3.6 % / m ;
2.2 calculate the total tapering T in length of mould direction:
T = 2 k ( x 2 - x 1 ) aL × 10 5 = 1.2 % / m ;
2.3 calculate the crystallizer internal cavity length of side S apart from any position x suitable for reading x:
S x = 612.3790 - 0.2693 37.5 + x mm ;
2.4 calculate the tapering T apart from any position x suitable for reading x:
T x = 22.0454 37.5 + x % / m .
Apart from crystallizer position of upper x and crystallizer internal cavity size length of side S xcurved line relation as shown in Figure 4.
In addition, as shown in Figure 3, the embodiment of the present invention also provides the continuous tapering acquisition device of benchmark parabola on a kind of crystallizer, comprising:
Tapering computing unit 31 suitable for reading, for calculating crystallizer position of upper tapering;
Total tapering computing unit 32, for calculating total tapering of length of mould direction;
Tapering distribution computing unit 33, uses according to described position of upper tapering and total tapering, calculates the tapering in length direction distance any position suitable for reading.
Preferably, described device also comprises:
Inner chamber length of side computing unit 34, for according to described position of upper tapering and total tapering, calculates the crystallizer internal cavity length of side in length direction distance any position suitable for reading.
Wherein, described crystallizer position of upper tapering wherein k is steel grade coefficient, and a is the crystallizer length of side suitable for reading, x 1for crystallizer coordinate suitable for reading.
Total tapering of described length of mould direction x wherein 2for crystallizer end opening coordinate, L is crystallizer total length.
The tapering of described distance any position suitable for reading wherein x is from distance length suitable for reading at length direction; The crystallizer internal cavity length of side of described distance any position suitable for reading S x = a ( 1 - T 1 T L T 1 ( T 1 - T ) ( T 2 L 4 T 1 ( T 1 - T ) + x - T 2 L 4 T 1 ( T 1 - T ) ) × 10 - 5 ) .
The foregoing is only preferred embodiment of the present invention, not in order to limit the present invention, all any modifications of doing within the spirit and principles in the present invention, be equal to and replace and improvement etc., within all should being included in protection scope of the present invention.

Claims (8)

1. the continuous tapering acquisition methods of benchmark parabola on crystallizer, is characterized in that, described method comprises:
Calculate crystallizer position of upper tapering;
Calculate total tapering of length of mould direction;
According to described position of upper tapering and total tapering, calculate the tapering in length direction distance any position suitable for reading.
2. method as claimed in claim 1, is characterized in that, described method also comprises:
According to described position of upper tapering and total tapering, calculate the crystallizer internal cavity length of side in length direction distance any position suitable for reading.
3. method as claimed in claim 2, is characterized in that described crystallizer position of upper tapering wherein k is steel grade coefficient, and a is the crystallizer length of side suitable for reading, x 1for crystallizer coordinate suitable for reading.
4. method as claimed in claim 3, is characterized in that total tapering of described length of mould direction x wherein 2for crystallizer end opening coordinate, L is crystallizer total length.
5. method as claimed in claim 4, is characterized in that the crystallizer internal cavity length of side of described distance any position suitable for reading S x = a ( 1 - T 1 T L T 1 ( T 1 - T ) ( T 2 L 4 T 1 ( T 1 - T ) + x - T 2 L 4 T 1 ( T 1 - T ) ) × 10 - 5 ) , Wherein x is from distance length suitable for reading at length direction.
6. method as claimed in claim 4, is characterized in that the tapering of described distance any position suitable for reading wherein x is from distance length suitable for reading at length direction.
7. the continuous tapering acquisition device of benchmark parabola on crystallizer, is characterized in that, described device comprises:
Tapering computing unit suitable for reading, for calculating crystallizer position of upper tapering;
Total tapering computing unit, for calculating total tapering of length of mould direction;
Tapering distribution computing unit, for according to described position of upper tapering and total tapering, calculates the tapering in length direction distance any position suitable for reading.
8. install as claimed in claim 7, it is characterized in that, described device also comprises:
Inner chamber length of side computing unit, for according to described position of upper tapering and total tapering, calculates the crystallizer internal cavity length of side in length direction distance any position suitable for reading.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105499528B (en) * 2015-10-23 2018-06-26 首钢集团有限公司 A kind of high-carbon steel slab continuous cast method

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2172856Y (en) * 1993-10-05 1994-07-27 冶金工业部自动化研究院 Instrument for measuring openings and back tapers of crystallizers
CN2183234Y (en) * 1994-05-12 1994-11-23 冶金工业部自动化研究院 Conicity-measuring device for crystallizer of continuous casting machine
US20010017199A1 (en) * 1998-05-26 2001-08-30 Rama Bommaraju Continuous casting mold and processes for making and retrofitting
CN101398300A (en) * 2007-09-28 2009-04-01 上海重矿连铸技术工程有限公司 Conicity measurement mechanism for circular copper pipe crystallizer
CN103433442A (en) * 2013-08-29 2013-12-11 重庆大学 Method for determining continuous casting crystallizer inner cavity taper

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN2172856Y (en) * 1993-10-05 1994-07-27 冶金工业部自动化研究院 Instrument for measuring openings and back tapers of crystallizers
CN2183234Y (en) * 1994-05-12 1994-11-23 冶金工业部自动化研究院 Conicity-measuring device for crystallizer of continuous casting machine
US20010017199A1 (en) * 1998-05-26 2001-08-30 Rama Bommaraju Continuous casting mold and processes for making and retrofitting
CN101398300A (en) * 2007-09-28 2009-04-01 上海重矿连铸技术工程有限公司 Conicity measurement mechanism for circular copper pipe crystallizer
CN103433442A (en) * 2013-08-29 2013-12-11 重庆大学 Method for determining continuous casting crystallizer inner cavity taper

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105499528B (en) * 2015-10-23 2018-06-26 首钢集团有限公司 A kind of high-carbon steel slab continuous cast method

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