CN117900263A - Roll shape design method for middle roll of 20-roll mill - Google Patents
Roll shape design method for middle roll of 20-roll mill Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B27/00—Rolls, roll alloys or roll fabrication; Lubricating, cooling or heating rolls while in use
- B21B27/02—Shape or construction of rolls
- B21B27/021—Rolls for sheets or strips
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B27/00—Rolls, roll alloys or roll fabrication; Lubricating, cooling or heating rolls while in use
- B21B27/02—Shape or construction of rolls
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B27/00—Rolls, roll alloys or roll fabrication; Lubricating, cooling or heating rolls while in use
- B21B27/02—Shape or construction of rolls
- B21B27/021—Rolls for sheets or strips
- B21B2027/022—Rolls having tapered ends
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Abstract
The invention discloses a method for designing a roll shape of an intermediate roll of a 20-roll mill, which belongs to the field of sheet metal rolling, wherein the designed roll shape comprises a straight section and a conical section, and the conical section comprises a transition section and a conical section; the transition section is used for smoothly connecting the conical section and the flat section so as to ensure the continuity of the roll shape; the method comprises the following steps: designing a roll curve function of the conical region; determining the relation between the roll shape curve function coefficient of the conical region and the roll shape parameter of the conical region; determining the value of a roll shape parameter of the conical region; determining the value of the curve function coefficient of the conical region roll shape according to the determined value of the conical region roll shape parameter; and determining the final roll shape according to the determined curve function coefficient of the roll shape of the conical region and the determined value of the roll shape parameter of the conical region. By adopting the scheme of the invention, the occurrence risk of the high-order wave shape of the plate belt can be reduced while the convexity regulation capability of the plate belt is ensured, so that the comprehensive control capability of the convexity and the high-order wave shape of the plate belt is improved.
Description
Technical Field
The invention relates to the technical field of sheet metal rolling, in particular to a method for designing an intermediate roll shape of a 20-roll rolling mill with sheet convexity and high-order wave shape control.
Background
Cone roll forms are widely used in cold rolling mills. Document 1 (Ma Gu, liu Haichao, study tour chang et al. An edge drop control method for producing silicon steel by a Senkymi rolling mill [ P ]. Hebei province: CN109158429B, 2020-03-20.) has devised an intermediate roll shape of a 20-roll rolling mill capable of effectively controlling the thickness of the edge portion of silicon steel. The HARA in literature 2(Hara K,Yamada T,Takagi K.Shape Controllability for Quarter Buckles of Strip in 20-high Sendzimir Mills[J].Transactions of the Iron&Steel Institute of Japan,1991,31(6):607-613.) proposes to design an intermediate roll shape with concave roll shape at the corresponding high-order wave shape generation position against the high-order wave shape problem of the 20-roll mill. Aiming at the problem that the roller-shaped scheme proposed by HARA is difficult to process, the KIM in document 3(Kim J T,Yi JJ,Han SY.Shape control of alloy steel rolled by Sendzimir mill[J].Journal of Mechanical Science&Technology,1996,10(3):277-285.) proposes a three-cone-section conical scheme, and industrial experiments show that the defect of high-order wave shape can be relieved.
However, the multi-cone roll shape is not easy to process, and the cone angles of the transition zones need to be processed smoothly to avoid the peak of contact pressure between the rolls, so that the 20-roll rolling is mainly carried out in the current industrial production. The existing single-cone-section roll shape comprises a straight section and a cone section, for the roll shape, when the superposition length of the cone section and a working roll is increased, the deflection of the edge of the working roll is obviously weakened, the working roll is in a high-order deflection state, and therefore the plate strip is caused to be excessively large in local thickness reduction, and then the high-order wave defect is caused.
Disclosure of Invention
The invention provides a roll shape design method of a middle roll of a 20-roll rolling mill, which aims to solve the technical problems that when the superposition length of a conical section and a working roll is increased, the deflection of the edge of the working roll is obviously weakened, the working roll is in a high-order deflection state, and the local thickness reduction of a plate strip is overlarge, so that the high-order wave defect is caused.
In order to solve the technical problems, the invention provides the following technical scheme:
A 20-roll mill-intermediate roll shape design method, wherein the 20-roll mill-intermediate roll shape comprises a straight section and a conical section, and the conical section comprises a transition section and a conical section; wherein the transition section is used to smoothly connect the tapered section and the straight section to ensure continuity of roll shape;
the method for designing the roll shape of the intermediate roll of the 20-roll mill comprises the following steps:
Designing a roll curve function of the conical region;
determining the relation between the cone roll profile curve function coefficient and the cone roll profile parameter;
determining the value of a roll shape parameter of the conical region;
according to the determined value of the roll shape parameter of the conical region, combining the determined relationship between the roll shape curve coefficient of the conical region and the roll shape parameter of the conical region, and determining the value of the roll shape curve coefficient of the conical region;
and determining 20 an intermediate roll shape of the rolling mill according to the determined cone roll shape curve function coefficient and the cone roll shape parameter value and combining the designed cone roll shape curve function.
Further, the expression of the cone roll profile function is:
Wherein y contour is the roll shape quantity; x is the coordinates of a middle roller body; a 6、a2 is the roll curve function coefficient of the conical region; l 1 is the transition length; l 2 is the taper segment length; k is the taper of the conical section.
Further, the cone roll shape parameters include: taper of the conical section, length of the transition section, length of the conical section, height of the transition section and height of the whole cone;
The relationship between the cone roll profile function coefficient and the cone roll profile parameter is expressed as:
Wherein h 1 is the transition section height; h 2 is the overall cone height.
Further, the determining the value of the cone roll shape parameter includes:
Will be The transition section cone high coefficient eta is marked, and the conditions which are required to be met by eta are determined to ensure that the transition section curve monotonically increases; wherein, the condition that η needs to be satisfied is expressed as:
And/>
Determining the values of the length l 1 of the transition section and the length l 2 of the conical section;
According to the values of the transition section length l 1 and the taper section length l 2, the minimum value meeting the condition is eta;
Determining the value of the height h 2 of the integral cone according to the plate band convexity regulation threshold;
And determining the value of the transition section height h 1 according to the values of h 2 and eta.
Further, the value range of the length l 1 of the transition section is 100- 1 -300.
Further, the length l 2 of the tapered section is determined according to the maximum overlapping length of the tapered region and the plate belt, the length of the working roller, the width of the plate belt and the length of an intermediate roller, and the formula is as follows:
Wherein, xi is the maximum overlapping length of the conical region and the plate belt; l w is the work roll length; b is the width of the plate band; and l f is an intermediate roll length.
Further, the transition section length l 1 has the same value as the taper section length l 2.
Further, according to the plate band convexity regulation threshold, determining the value of the overall cone height h 2 includes:
And calculating by using a numerical calculation method to obtain the integral cone height which can meet the requirement that the convexity of the plate band reaches the regulation threshold value of the convexity of the plate band under the overlapping length of the preset cone section and the plate band, and taking the integral cone height as the value of the integral cone height h 2.
The technical scheme provided by the invention has the beneficial effects that at least:
According to the scheme, the gentle transition section is introduced between the conical section and the flat section of the single-conical-section roll shape, the roll shape of the transition section has a special geometric shape, the conical section and the flat section can be smoothly connected, continuity of the roll shape is ensured, the problem of high-order deflection caused by the difference of deflection influence capability of the conical section and the flat section on the working roll is relieved, the convexity control capability of the plate strip can be simultaneously considered, the occurrence risk of the high-order wave shape can be reduced, the rolling stability is improved, the plate strip forming rate is further improved, the production efficiency is improved, and the plate defect rate is reduced.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for the description of the embodiments will be briefly described below, and it is apparent that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic view of a roll configuration of a 20-high rolling mill;
FIG. 2 is a schematic view of an intermediate roll shape of a 20-high rolling mill according to an embodiment of the present invention;
FIG. 3 is a flow chart of a method for designing an intermediate roll shape of a 20-high rolling mill according to an embodiment of the present invention;
FIG. 4 is a roll form and single cone roll form of the present invention;
FIG. 5 is a graph comparing the plastic strain in the rolling direction of the roll shape of the present invention with that of a single cone roll shape.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the embodiments of the present invention will be described in further detail with reference to the accompanying drawings.
First, it should be noted that, in the embodiments of the present invention, words such as "exemplary," "for example," and the like are used to indicate an example, instance, or illustration. Any embodiment or design described herein as "exemplary" is not necessarily to be construed as preferred or advantageous over other embodiments or designs. Rather, the use of the term "exemplary" is intended to present concepts in a concrete fashion. Furthermore, in embodiments of the present invention, the meaning of "and/or" may be that of both, or may be that of either, optionally one of both.
Furthermore, in embodiments of the present invention, sometimes a subscript (e.g., W 1) may be wrongly written in a non-subscript form (e.g., W1), and the meaning of the expression is consistent when de-emphasizing the distinction.
In order to solve the problem of high-order deflection caused by the difference of deflection influence capability of the conical section and the flat section on the working roll and simultaneously consider the convexity control capability of the plate and strip, the embodiment adds a gentle transition section between the conical section and the flat section, and provides a 20-roll mill-middle roll shape design method considering both the convexity of the plate and strip and the high-order wave shape control based on the gentle transition section, so that the occurrence risk of the high-order wave shape is reduced, and the convexity control capability of the plate and strip can be considered.
As shown in fig. 1, which is a roll structure diagram of a 20-roll mill, the method of the embodiment is to design a roll shape of an intermediate roll, wherein the designed roll shape comprises a straight section and a conical section, and the conical section comprises a transition section and a conical section as shown in fig. 2; wherein the transition section is used for smoothly connecting the conical section and the flat section, and ensuring continuity of the roll shape. The overall design thought of the method of the embodiment is as follows: acquiring a cone region roll profile curve distribution function, and determining roll profile curve coefficients alpha 6、α2 and k to be determined; the roll curve coefficients α 6、α2 and k can be represented by l 1、l2、h1 and h 2, h 1/h2 being denoted as the transition cone height coefficient η in this example; according to the smooth transition condition of the roll-shaped curves, the slope values of the roll-shaped curves of all sections of curves at the connecting points are ensured to be the same; determining the relation between the cone height coefficient eta and l 1、l2 according to the positive and negative values of the parameter alpha 6 and the monotonically increasing transition section; determining the values of a transition section length l 1 and a conical section length l 2 according to the maximum overlapping length xi of the conical region and the plate belt, the length l w of the working roll, the width B of the plate belt and the length l f of an intermediate roll; and determining a transition section cone height coefficient eta and an overall cone height h 2 according to the plate and strip convexity regulation threshold value, and determining a final curve coefficient based on the transition section cone height coefficient eta and the overall cone height h 2.
Based on the above, the execution flow of the method of this embodiment is shown in fig. 3, and mainly includes the following steps:
s1, designing a roll curve function of a conical region;
And the transition section curve adopts a sixth-order polynomial and a quadratic polynomial, so that the smoothness of the transition section is ensured. The taper section is a primary curve, namely the ratio of the taper height to the taper length is a fixed value. Specifically, the cone roll profile function expression is:
Wherein y contour is the roll shape quantity, and the unit is mm; x is the coordinates of a middle roller body, and the unit is mm; a 6、a2 is the roll curve function coefficient of the conical region; l 1 is the length of the transition section, and the unit is mm; l 2 is the length of the conical section, and the unit is mm; k is the taper of the conical section.
S2, determining the relation between the roll shape curve function coefficient of the conical region and the roll shape parameter of the conical region;
Wherein the cone roll shape parameters include: taper of the conical section, length of the transition section, length of the conical section, height of the transition section and height of the whole cone; according to the smooth transition condition of the roll-shaped curves, the slope values of the roll-shaped curves of all sections of curves at the connecting points are ensured to be the same, and based on the slope values, the roll-shaped curve function coefficient alpha 6、α2 of the conical region and the conical degree k of the conical section can be represented by the following boundary conditions:
the relation between the curve function coefficient of the roll shape of the conical region and the roll shape parameter of the conical region can be solved by the method (2):
wherein h 1 is the height of the transition section, and the unit is mm; h 2 is the overall cone height in mm.
S3, determining the value of the roll shape parameter of the conical region;
specifically, in the present embodiment, the determination method of the roll shape parameter value of each cone is as follows:
S31, h 1/h2 is marked as a transition section cone high coefficient eta, and the condition that eta needs to be met is determined as a condition for ensuring monotonic increment of a transition section curve; wherein, in order to ensure monotonic increasing of the transition section curve, the following needs to be satisfied:
6a6x5+2a2x≥0 x∈[0,l1] (4)
when a 6 >0, can obtain According to the value range of x, the/>Let α 6、α2 be represented by l 1、l2, η:
When a 6 <0, it is possible to According to the value range of x, the/>Let α 6、α2 be represented by l 1、l2, η:
The relationship between the transition segment cone height coefficients eta and l 1、l2 can be determined according to the positive and negative values of alpha 6 and the monotonic increase of the transition segment: when (when) And/>And the transition section curve can be ensured to monotonically increase.
S32, determining values of a transition section length l 1 and a conical section length l 2;
Wherein, the value range of the length l 1 of the transition section is 100- 1 -300, and the length l 1 is generally the same as the size of l 2. The length l 2 of the conical section is determined according to the maximum overlapping length xi of the conical region and the plate belt, the length l w of the working roller, the width of the plate belt is B mm and the length l f of the middle roller, and the calculation formula is as follows:
Specifically, in this embodiment, the maximum overlapping length ζ of the tapered zone and the plate belt is 148mm, the length l w of the working roll is 1414mm, the plate belt width B is 1250mm, the length l f of an intermediate roll is 1580mm, l 2 =230 mm can be obtained, for convenience in memorization, l 1＝l2 =230 mm can be determined, and when η is greater than or equal to 1/7 and η is not equal to 1/3, monotonic increase of the transition section curve can be ensured.
S33, determining the value of eta according to the values of the length l 1 of the transition section and the length l 2 of the conical section;
according to the relation among the transition section cone height coefficient eta, the transition section length l 1 and the cone section length l 2, the eta is determined according to a gentle transition principle and the requirement of meeting the transition section cone height coefficient eta value range.
Specifically, in the present embodiment, given that l 1＝l2 =230 mm, η+.1/7 and η+.1/3, the minimum transition cone height coefficient η=0.15 retaining the two bits after the decimal point is determined.
S34, determining the value of the overall cone height h 2 according to the plate band convexity regulation threshold;
The integral cone height h 2 is calculated by a numerical calculation method, so that the requirement that the convexity of the plate band under the overlapping length of a certain cone section and the plate band reaches a threshold value rho is met.
Specifically, in this embodiment, in order to ensure that the convexity adjustment capability of the roll shape of the present invention can reach the convexity adjustment capability of the sheet of the roll shape with a single cone segment (with a cone length of 230mm and a cone diameter of 0.85%), the sheet convexity adjustment threshold ρ is set to be a sheet convexity value of the roll shape with a single cone segment (with a cone length of 230mm and a cone diameter of 0.85%) when the overlapping length of the cone segment and the sheet is 100mm, that is, ρ= -6 μm, and the overall cone height h 2 =0.725 can be determined by using a numerical simulation method to satisfy the threshold requirement.
And S35, determining the value of the transition section height h 1 according to the values of h 2 and eta.
S4, determining the value of the roll shape curve function coefficient of the conical region according to the determined value of the roll shape parameter of the conical region and combining the determined relationship between the roll shape curve function coefficient of the conical region and the roll shape parameter of the conical region;
Specifically, in the present embodiment, the values of α 6、α2, k are determined from η and l 1、l2 and h 2 as follows:
s5, determining 20 an intermediate roll shape of the rolling mill according to the determined cone roll shape curve function coefficient and the cone roll shape parameter value and combining the designed cone roll shape curve function.
The intermediate roll shape of the 20-roll mill with both the convexity of the plate and the control of the high-order wave shape provided by the embodiment is simulated by finite element software, the roll shape and the single-cone roll shape of the invention are shown in figure 4, and the plastic strain distribution of the roll shape and the single-cone roll shape in the rolling direction under the conditions that the overlapping length of the cone section and the plate is 100mm and the convexity of the plate reaches the threshold value of-6 mu m is shown in figure 5. When the sheet band convexity regulating capability is the same, the plastic strain of the roll shape in the rolling direction is only 59.53% of that of a single cone section roll shape under the same sheet band convexity regulating capability at the local convexity peak, which indicates that the roll shape can effectively reduce the occurrence risk of high-order wave shapes and can also give consideration to sheet band convexity control.
In summary, the embodiment provides a design method for a roll shape of an intermediate roll of a 20-roll mill, which introduces a gentle transition section between a conical section and a flat section of a roll shape of a single conical section, and by designing a roll shape curve form and roll shape parameters of a conical section of the intermediate roll of the 20-roll mill, the problem of high-order deflection caused by the difference of influence capability of the conical section and the flat section on deflection of a working roll is relieved, and meanwhile, the convexity control capability of a plate and a strip is considered, so that the occurrence risk of the high-order wave is reduced, the rolling stability is improved, and the yield of the plate and the strip is further improved.
Furthermore, it should be noted that the present invention can be provided as a method, an apparatus, or a computer program product. Accordingly, embodiments of the invention may take the form of an entirely or partially hardware embodiment, an entirely or partially software embodiment or an embodiment combining software and hardware aspects. Furthermore, when implemented in software, embodiments of the invention may take the form of a computer program product on one or more computer-usable storage media having computer-usable program code embodied therein. The computer program product comprises one or more computer instructions or computer programs. When the computer instructions or computer program are loaded or executed on a computer, the processes or functions described in accordance with embodiments of the present invention are produced in whole or in part. The computer may be a general purpose computer, a special purpose computer, a computer network, or other programmable apparatus. The computer instructions may be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another computer-readable storage medium, for example, the computer instructions may be transmitted from one website site, computer, server, or data center to another website site, computer, server, or data center by wired (e.g., infrared, wireless, microwave, etc.). The computer readable storage medium may be any available medium that can be accessed by a computer or a data storage device such as a server, data center, etc. that contains one or more sets of available media. The usable medium may be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium. The semiconductor medium may be a solid state disk.
Embodiments of the present invention are described with reference to flowchart illustrations and/or block diagrams of methods, terminal devices (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, embedded processor, or other programmable data processing terminal device to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing terminal device, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks. These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
It should also be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or terminal that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or terminal. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or terminal device that comprises the element.
Furthermore, it should be understood that, in various embodiments of the present invention, the sequence number of each process described above does not mean that the execution sequence is determined by the function and the internal logic of each process, and should not limit the implementation process of the embodiments of the present invention.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
In the several embodiments provided by the present invention, it should be understood that the disclosed apparatus, device and method may be implemented in other manners. For example, the above-described apparatus embodiments are merely illustrative, e.g., the division of functional blocks/units is merely a logical functional division, and there may be additional divisions when actually implemented, e.g., multiple units or components may be combined or integrated into another device, or some features may be omitted or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed with each other may be an indirect coupling or communication connection via some interfaces, devices or units, which may be in electrical, mechanical or other form. The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed over a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment. In addition, each functional unit in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit.
The method may be stored in a computer readable storage medium if implemented in the form of a software functional unit and sold or used as a stand alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. The storage medium includes a usb disk, a removable hard disk, a read-only memory (ROM), a random access memory (random access memory, RAM), a magnetic disk, or an optical disk, etc., which can store program codes.
It is finally pointed out that the above description of the preferred embodiments of the invention, it being understood that although preferred embodiments of the invention have been described, it will be obvious to those skilled in the art that, once the basic inventive concepts of the invention are known, several modifications and adaptations can be made without departing from the principles of the invention, and these modifications and adaptations are intended to be within the scope of the invention. It is therefore intended that the following claims be interpreted as including the preferred embodiment and all such alterations and modifications as fall within the scope of the embodiments of the invention.
Claims (8)
1. A method for designing a roll shape of an intermediate roll of a 20-roll mill, which is characterized in that the roll shape of the intermediate roll of the 20-roll mill comprises a straight section and a conical section, and the conical section comprises a transition section and a conical section; wherein the transition section is used for smoothly connecting the conical section and the flat section so as to ensure the continuity of the roll shape;
the method for designing the roll shape of the intermediate roll of the 20-roll mill comprises the following steps:
Designing a roll curve function of the conical region;
determining the relation between the cone roll profile curve function coefficient and the cone roll profile parameter;
determining the value of a roll shape parameter of the conical region;
according to the determined value of the roll shape parameter of the conical region, combining the determined relationship between the roll shape curve coefficient of the conical region and the roll shape parameter of the conical region, and determining the value of the roll shape curve coefficient of the conical region;
and determining 20 an intermediate roll shape of the rolling mill according to the determined cone roll shape curve function coefficient and the cone roll shape parameter value and combining the designed cone roll shape curve function.
2. The method for designing an intermediate roll shape for a 20-high rolling mill according to claim 1, wherein the expression of the roll shape curve function of the tapered zone is:
Wherein y contour is the roll shape quantity; x is the coordinates of a middle roller body; a 6、a2 is the roll curve function coefficient of the conical region; l 1 is the transition length; l 2 is the taper segment length; k is the taper of the conical section.
3. The method for designing an intermediate roll shape for a 20-high rolling mill of claim 2, wherein said cone roll shape parameters include: taper of the conical section, length of the transition section, length of the conical section, height of the transition section and height of the whole cone;
The relationship between the cone roll profile function coefficient and the cone roll profile parameter is expressed as:
Wherein h 1 is the transition section height; h 2 is the overall cone height.
4. A method of designing an intermediate roll shape for a 20-high rolling mill as claimed in claim 3, wherein said determining values of cone roll shape parameters comprises:
Will be The transition section cone high coefficient eta is marked, and the conditions which are required to be met by eta are determined to ensure that the transition section curve monotonically increases; wherein, the condition that η needs to be satisfied is expressed as:
And/>
Determining the values of the length l 1 of the transition section and the length l 2 of the conical section;
According to the values of the transition section length l 1 and the taper section length l 2, the minimum value meeting the condition is eta;
Determining the value of the height h 2 of the integral cone according to the plate band convexity regulation threshold;
And determining the value of the transition section height h 1 according to the values of h 2 and eta.
5. The method for designing an intermediate roll shape for a 20-high rolling mill according to claim 4, wherein the transition section length l 1 has a value ranging from 100 to 1 to 300.
6. The method of designing an intermediate roll shape for a 20 high rolling mill of claim 5, wherein the tapered section length l 2 is determined according to the maximum overlap length of the tapered section and the strip, the work roll length, the strip width, and an intermediate roll length, and the formula is:
Wherein, xi is the maximum overlapping length of the conical region and the plate belt; l w is the work roll length; b is the width of the plate band; and l f is an intermediate roll length.
7. The method for designing an intermediate roll shape for a 20 high rolling mill according to claim 6, wherein the transition section length l 1 has the same value as the tapered section length l 2.
8. The method for designing an intermediate roll shape of a 20-high rolling mill according to claim 4, wherein the determining the value of the overall cone height h 2 according to the strip convexity control threshold value comprises:
And calculating by using a numerical calculation method to obtain the integral cone height which can meet the requirement that the convexity of the plate band reaches the regulation threshold value of the convexity of the plate band under the overlapping length of the preset cone section and the plate band, and taking the integral cone height as the value of the integral cone height h 2.
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