CN103418760B - Method for computing strain value produced by continuous casting slab at crystallizer exit - Google Patents

Method for computing strain value produced by continuous casting slab at crystallizer exit Download PDF

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Publication number
CN103418760B
CN103418760B CN201210151587.7A CN201210151587A CN103418760B CN 103418760 B CN103418760 B CN 103418760B CN 201210151587 A CN201210151587 A CN 201210151587A CN 103418760 B CN103418760 B CN 103418760B
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China
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continuous casting
steel billet
casting steel
strain value
curve
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CN201210151587.7A
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Chinese (zh)
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CN103418760A (en
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陈平
徐家倬
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上海宝钢工业技术服务有限公司
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Abstract

The invention discloses a method for computing strain value produced by a continuous casting slab at a crystallizer exit. The method includes: obtaining a strain value calculation formula according to the definition of the strain value in physics; obtaining formula of a strain value epsilon of the slab aiming at the circular slab; establishing a rectangular coordinate system according to operating condition of the continuous casing slab entering a zero fan-shaped segment via a foot roll from the crystallizer exit to obtain each point coordinates of a curve after bending of the continuous casting slab; establishing formulas about thickness of the slab, the foot roll and zero fan-shaped segment spacing, zero fan-shaped segment misalignment quantity and curve radius of the curve to obtain the curve radius of the curve and putting the same into the formula of the strain value epsilon of the slab so as to obtain the strain value produced by the continuous casting slab at the crystallizer exit. By the method, the strain values produced by misalignment of the crystallizer foot roll, of the continuous casting slab, can be obtained and judged whether to exceed the permissible range or not, quality of the continuous casting slab is guaranteed, and possible accidents are avoided.

Description

Continuous casting steel billet produces the computational methods of strain in crystallizer outlet

Technical field

The present invention relates to a kind of continuous casting steel billet produces the computational methods of strain in crystallizer outlet.

Background technology

Continuous casting steel billet starts to solidifying completely and being straightened from crystallizer meniscus, subjects various external force and interior Power, and produce various modifications.Common are the bulge deformation that molten steel fluid pressure causes, fan-shaped section roller misaligns drawing of generation Stretch deformation and the straightening deformation producing in aligning area.Additionally, also have there is mistake because of zero segment roller row and crystallizer foot roll Position and the deformation that causes, the dislocation deformation of here abbreviation crystallizer foot roll.Existing research all gives to common deformation Computing formula, the crystallizer foot roll dislocation deformation clear and definite computational methods of neither one only.Strand produces in conticaster each point Deformation has an allowed band, and super going beyond the scope may result in quality problems, and bleed-out etc. produces thing for serious occurring Therefore.When strand goes out crystallizer mouth green shell compare relatively thin, therefore, calculate crystallizer foot roll dislocation strain value, and then control strand Deflection, important in inhibiting.

Content of the invention

The technical problem to be solved is to provide a kind of continuous casting steel billet to produce the calculating of strain in crystallizer outlet Method, can get, using this computational methods, the continuous casting steel billet strain value being led to by crystallizer foot roll dislocation, is sentenced according to this strain value Disconnected whether beyond allowed band it is ensured that the quality of continuous casting steel billet, it is to avoid issuable production accident.

For solve above-mentioned technical problem, continuous casting steel billet of the present invention crystallizer outlet produce strain computational methods include as Lower step:

Step one, the definition according to strain in physicss, obtain strain value computing formula:

Step 2, be directed to circular arc sheet material, sheet metal thickness s, cross the center of circle make two rays, obtain outer ring arc length △ s ', plate Material centrage arc length △ s, sheet material centrage radius of curvature r,

Then

Obtain the strain value ε computing formula of sheet material according to formula (1):

ϵ = δs ′ - δ s δ s × 100 % = s 2 r × 100 % - - - ( 3 )

Step 3, continuous casting steel billet from crystallizer outlet after sufficient roller enter zero segment, continuous casting steel billet respectively with sufficient roller Intersect at a point and b point and zero segment first roller group intersects at c point and d point, if sufficient roller and zero segment first roller group Spacing is l, magnitude of misalignment is d, and due to zero segment skew, continuous casting steel billet bends to curve shape, sets up right angle with a for initial point Coordinate system, obtains curve ac, the midpoint of curve ac is a1, and curve ac is by circular arc aa1With circular arc a1C is formed by connecting, circular arc aa1 Corresponding radius is r1+s1/ 2, wherein r1For continuous casting steel billet radius of curvature after bending, s1For the thickness of continuous casting steel billet at a point, A, a in rectangular coordinate system1, c point coordinate be respectively (0,0), (l/2, d/2), (l, d),

Then obtain equation: (r1+s1/2)2=l2/4+(r1+s1/2-d/2)2

r 1 = l 2 + d 2 4 d - s 1 / 2 - - - ( 4 )

Step 4, according to formula (3), by radius of curvature r after bending for continuous casting steel billet1Computing formula (4) substitute into, obtain Continuous casting steel billet is due to the strain value ε after zero segment skew:

ϵ = s 1 / [ l 2 + d 2 2 d - s 1 ] 100 % - - - ( 5 )

According to formula (5), sufficient roller and zero segment the first roller group spacing l are constant, the thickness s of continuous casting steel billet1For normal Number, is d by the magnitude of misalignment determining zero segment skew, you can obtain the strain that continuous casting steel billet produces in crystallizer outlet Value.

Because the computational methods that continuous casting steel billet of the present invention produces strain in crystallizer outlet employ technique scheme, that is, Definition first according to strain in physicss, obtains strain value computing formula, for circular arc sheet material, obtains the strain value of sheet material ε computing formula, is entered the operating mode of zero segment after sufficient roller, sets up rectangular coordinate system by continuous casting steel billet from crystallizer outlet, Obtain each point coordinates of curve after continuous casting steel billet bending, and set up with regard to slab thickness, sufficient roller and zero segment spacing, No. zero Fan-shaped section magnitude of misalignment, the equation of curve curvature radius, obtain curve curvature radius accordingly and substitute into the strain value ε calculating of sheet material Formula, thus obtain the strain value that continuous casting steel billet produces in crystallizer outlet.This computational methods can get wrong by crystallizer foot roll The continuous casting steel billet strain value that leads to of position, sees if fall out allowed band according to this strain value it is ensured that the quality of continuous casting steel billet, Avoid issuable production accident.

Brief description

The present invention is described in further detail with embodiment below in conjunction with the accompanying drawings:

The schematic diagram that Fig. 1 deforms in crystallizer exit bend for continuous casting steel billet;

Fig. 2 is the schematic diagram that in this method, circular arc sheet material strain value calculates;

Fig. 3 is the schematic diagram of rectangular coordinate system in this method.

Specific embodiment

The computational methods that continuous casting steel billet of the present invention produces strain in crystallizer outlet comprise the steps:

Step one, the definition according to strain in physicss, obtain strain value computing formula:

Step 2 is as shown in Fig. 2 for circular arc sheet material 1, sheet material 1 thickness s, crossing the center of circle and make two rays 11 and 12, obtain To outer ring arc length △ s ', sheet material centrage 13 arc length △ s, sheet material centrage 13 radius of curvature r,

Then

Obtain the strain value ε computing formula of sheet material 1 according to formula (1):

ϵ = δs ′ - δ s δ s × 100 % = s 2 r × 100 % - - - ( 3 )

Step 3, in conticaster normal productive process, continuous casting steel billet out passes through being vertically directed of sufficient roller from crystallizer Enter zero segment, but when sufficient roller occurs dislocation with zero segment, continuous casting steel billet will be bent;As Fig. 1 and Fig. 3 institute Show, continuous casting steel billet 2 exports entrance zero segment 5 after sufficient roller 4 from crystallizer 3, continuous casting steel billet 2 intersects at a with sufficient roller 4 respectively Point and b point and zero segment 5 first roller group 51 intersect at c point and d point, if sufficient roller 4 and zero segment 5 first roller group 51 Spacing is l, magnitude of misalignment is d, and because zero segment 5 offsets, continuous casting steel billet 2 bends to curve 6 shape, is set up with a for initial point Rectangular coordinate system, obtains curve ac, the midpoint of curve ac is a1, and curve ac is by circular arc aa1With circular arc a1C is formed by connecting, circular arc aa1Corresponding radius is r1+s1/ 2, wherein r1For continuous casting steel billet 2 radius of curvature after bending, s1Thickness for continuous casting steel billet 2 at a point Degree, a, a in rectangular coordinate system1, c point coordinate be respectively (0,0), (l/2, d/2), (l, d),

Then obtain equation: (r1+s1/2)2=l2/4+(r1+s1/2-d/2)2

r 1 = l 2 + d 2 4 d - s 1 / 2 - - - ( 4 )

Step 4, according to formula (3), the computing formula (4) of radius of curvature r after bending for continuous casting steel billet is substituted into, obtains Continuous casting steel billet is due to the strain value ε after zero segment skew:

ϵ = s 1 / [ l 2 + d 2 2 d - s 1 ] 100 % - - - ( 5 )

According to formula (5), sufficient roller and zero segment the first roller group spacing l are constant, the thickness s of continuous casting steel billet1For normal Number, is d by the magnitude of misalignment determining zero segment skew, you can obtain the strain that continuous casting steel billet produces in crystallizer outlet Value.

Carry out the calculating of continuous casting steel billet strain value using this method for a certain conticaster, take l=100mm, different s1, under d value, continuous casting steel billet strain value ε is obtained according to formula (5) and is as follows:

According to the permissible value to continuous casting steel billet strain value ε in conticaster engineering design, general continuous casting steel billet strain value ε is less than 0.3%.D=0.5, s is worked as in table1=30 and s1When=40, continuous casting steel billet strain value exceeds allowed band, asks for easily quality Topic or the deformation rate of production development accident.

Claims (1)

1. a kind of continuous casting steel billet produces the computational methods of strain it is characterised in that this method includes walking as follows in crystallizer outlet Rapid:
Step one, the definition according to strain in physicss, obtain strain value computing formula:
Step 2, it is directed to circular arc sheet material, sheet metal thickness s, crosses the center of circle and makees two rays, obtain outer ring arc length △ s ', in sheet material Heart bank long △ s, sheet material centrage radius of curvature r,
Then
Obtain the strain value ε computing formula of sheet material according to formula (1):
ϵ = δs ′ - δ s δ s × 100 % = s 2 r × 100 % - - - ( 3 )
Step 3, continuous casting steel billet enter zero segment from crystallizer outlet after sufficient roller, and continuous casting steel billet is intersected with sufficient roller respectively Intersect at c point and d point in a point and b point and zero segment first roller group, if sufficient roller and zero segment the first roller group spacing It is d for l, magnitude of misalignment, due to zero segment skew, continuous casting steel billet bends to curve shape, sets up rectangular coordinate with a for initial point System, obtains curve ac, the midpoint of curve ac is a1, and curve ac is by circular arc aa1With circular arc a1C is formed by connecting, circular arc aa1Corresponding Radius be r1+s1/ 2, wherein r1For continuous casting steel billet radius of curvature after bending, s1For the thickness of continuous casting steel billet at a point, straight A, a in angular coordinate system1, c point coordinate be respectively (0,0), (l/2, d/2), (l, d),
Then obtain equation: (r1+s1/2)2=l2/4+(r1+s1/2-d/2)2
r 1 = l 2 + d 2 4 d - s 1 / 2 - - - ( 4 )
Step 4, according to formula (3), by radius of curvature r after bending for continuous casting steel billet1Computing formula (4) substitute into, obtain continuous casting Slab is due to the strain value ε after zero segment skew:
ϵ = s 1 / [ l 2 + d 2 2 d - s 1 ] 100 % - - - ( 5 )
According to formula (5), sufficient roller and zero segment the first roller group spacing l are constant, the thickness s of continuous casting steel billet1For constant, lead to Cross and determine that the magnitude of misalignment that zero segment offsets is d, you can obtain the strain value that continuous casting steel billet produces in crystallizer outlet.
CN201210151587.7A 2012-05-16 2012-05-16 Method for computing strain value produced by continuous casting slab at crystallizer exit CN103418760B (en)

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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN87103686A (en) * 1986-06-16 1987-12-30 Sms舒路曼-斯玛公司 Produce the roller mill of rolled parts, particularly rolled strip
US6296046B1 (en) * 1997-12-20 2001-10-02 Pohang Iron & Steel Co., Ltd. Edge dam position control method and device in twin roll strip casting process

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN87103686A (en) * 1986-06-16 1987-12-30 Sms舒路曼-斯玛公司 Produce the roller mill of rolled parts, particularly rolled strip
US6296046B1 (en) * 1997-12-20 2001-10-02 Pohang Iron & Steel Co., Ltd. Edge dam position control method and device in twin roll strip casting process

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
由支承辊错位引起的连铸坯壳的错位应变速率;盛义平 等;《东北重型机械学院学报》;19950331(第03期);第231-236页 *
连铸板坯的鼓肚变形与应力分析;孙蓟泉 等;《钢铁研究学报》;19960131(第01期);第11-15页 *
连铸板坯的鼓肚应变速率;盛义平 等;《钢铁》;19950831(第08期);第31-34页 *

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Address after: No. 3520 Tongji Road, Baoshan District, Shanghai, 201900

Patentee after: Baowu equipment Intelligent Technology Co., Ltd

Address before: 201900, 335, Pu Pu Road, Shanghai, Baoshan District

Patentee before: SHANGHAI BAOSTEEL INDUSTRY TECHNOLOGICAL SERVICE Co.,Ltd.