CN114169152A - Rolling force prediction method for rolling metal composite plate by corrugated roller - Google Patents

Rolling force prediction method for rolling metal composite plate by corrugated roller Download PDF

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CN114169152A
CN114169152A CN202111400599.4A CN202111400599A CN114169152A CN 114169152 A CN114169152 A CN 114169152A CN 202111400599 A CN202111400599 A CN 202111400599A CN 114169152 A CN114169152 A CN 114169152A
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rolling
metal
deform
corrugated roller
composite plate
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郝平菊
刘元铭
王涛
王振华
和东平
王振国
黄庆学
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Taiyuan University of Technology
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Abstract

The invention discloses a method for predicting rolling force of a corrugated roller rolled metal composite plate, and belongs to the technical field of composite plate rolling. By obtaining the required technological parameters of composite plate rolling, calculating the rolling reduction delta h and the inlet position l of a deformation zone in the rolling process, and calculating the shearing friction force tau between a corrugated roller and the metal difficult to deform1Shear friction force tau between flat roll and easily deformable metal2Shear friction tau between a metal difficult to deform and a metal easy to deform before plastic deformation of the metal difficult to deform3(ii) a Then according to the rolling process regulation data and the stress characteristics of the plate blank in the deformation zone, the deformation zone is partitioned, and the rolling stress p of each partition n (n is I, II, … …) is calculatedn(x) Calculating the rolling force P per unit width of each section nnAnd finally, calculating the total rolling force P of the whole rolling deformation area. Provides a kind of influence gauge which has short calculation time, low cost, good flexibility and can synthesize many parametersLaw of rolling force prediction method.

Description

Rolling force prediction method for rolling metal composite plate by corrugated roller
Technical Field
The invention belongs to the technical field of composite plate rolling, and particularly relates to a rolling force prediction method for rolling a metal composite plate by a corrugated roller.
Background
The metal laminar composite material can give full play to the performance advantages of each component, so that the product obtains excellent comprehensive performance, and is widely applied to the fields of electronic and electric appliances, aerospace, petrochemical industry and the like. At present, the production of metal laminar composite materials mainly comprises various methods such as solid-solid phase compounding, solid-liquid phase compounding, liquid-liquid phase compounding based on an electromagnetic continuous casting technology and the like, wherein a rolling compounding method in the solid-solid phase compounding has the advantages of high production efficiency, good product consistency, easiness in realizing industrial mass production and the like, and is widely applied.
At present, products produced by the traditional flat roller composite rolling technology still have a plurality of problems, such as large residual stress of composite plates, poor plate shape, low bonding interface connection strength and the like. In recent years, a new corrugated roller rolling composite technology is provided, in the rolling process, a flat roller contacts with easily-deformable metal, a corrugated roller contacts with difficultly-deformable metal, and finally a metal composite plate with excellent size and bonding performance can be obtained.
The determination of the rolling force in the rolling process of the composite plate can provide a basis for setting the roll gap, controlling the plate shape and the like in the rolling process, and can also guide the design and selection of tonnage bearing and strength check of equipment, thereby having important significance for prolonging the service life of the equipment and producing safely. At present, the research on the rolling force in the corrugated roller rolling composite technology is relatively less, and the determination of the rolling force mainly adopts a finite element method and a physical experiment method. However, the finite element method has long calculation time, is inconvenient for engineering application, and has large economic loss and poor flexibility of a physical experiment method. Therefore, a rolling force prediction method which is short in calculation time, low in cost, good in flexibility and capable of integrating a plurality of parameters to influence the law is urgently needed.
Disclosure of Invention
The invention provides a rolling force prediction method for rolling a metal composite plate by using a corrugated roller, aiming at the problems of long rolling force calculation time, high cost and inconvenience in engineering application in the existing corrugated roller rolling composite technology.
In order to achieve the purpose, the invention adopts the following technical scheme:
a rolling force prediction method for rolling a metal composite plate by a corrugated roller comprises the following steps:
step 1: respectively acquiring required composite plate rolling process parameters according to certain pass rolling process specification data;
step 2: calculating the rolling reduction delta h and the inlet position l of a deformation area in the rolling process;
and step 3: calculating the shearing friction force tau between the corrugated roller and the metal difficult to deform1Shear friction force tau between flat roll and easily deformable metal2Shear friction tau between a metal difficult to deform and a metal easy to deform before plastic deformation of the metal difficult to deform3；
And 4, step 4: partitioning the deformation zone according to the rolling process schedule data and the stress characteristics of the plate blank in the deformation zone, wherein each partition is named as I, II and … … from the outlet in sequence, and the total number of the obtained partitions is different according to different rolling processes;
and 5: the rolling stress p of each section n (n ═ i, ii, … …) is calculatedn(x)；
Step 6: calculating the unit width rolling force P of each subarea nn；
And 7: and calculating the total rolling force P of the whole rolling deformation area.
Further, the required composite plate rolling process parameters in the step 1 comprise the inlet thickness h of the difficultly deformed metal in contact with the corrugated roller1iAnd equivalent outlet thickness h1oInlet thickness h of easily deformable metal in contact with flat roll2iAnd equivalent outlet thickness h2oWidth b of hardly deformable metal and easily deformable metal, and inlet tension σ of hardly deformable metal and easily deformable metal1iAnd σ2iOutlet tension sigma of composite boardoName of corrugated rollRadius of mean radius, radius R of flat roller, amplitude A of corrugated roller shape, number N of complete waves on corrugated roller, friction factor m between corrugated roller and metal difficult to deform1Friction factor m between flat roll and easily deformable metal2Friction factor m between hard-to-deform metal and easy-to-deform metal3。
Further, the step 2 calculates the rolling reduction delta h and the deformation zone entrance position l in the rolling process according to the slab entrance thickness h1i、h2iAnd outlet thickness h1o、h2oSpecifically, the calculation is as follows: Δ h ═ h1i+h2i-h1o-h2o，
Figure BDA0003365217310000031
Further, the step 3: calculating the shearing friction force tau between the corrugated roller and the metal difficult to deform1Shear friction force tau between flat roll and easily deformable metal2Shear friction tau between a metal difficult to deform and a metal easy to deform before plastic deformation of the metal difficult to deform3(ii) a The method comprises the following specific steps:
τ1＝m1ke，τ2＝m2ke，τ3＝m3k2，
Figure BDA0003365217310000032
ho＝h1o+h2o，hi＝h1i+h2iwherein k iseIs the equivalent shear yield strength, h, of the composite paneliAnd hoIs the equivalent inlet and outlet thickness, k, of the composite plate1And k2Respectively the shear yield strength of the hard-to-deform metal and the ductile metal.
Further, the step 5: the rolling stress p of each section n (n ═ i, ii, … …) is calculatedn(x) (ii) a Further comprising the steps of:
step 5.1: establishing a rectangular coordinate system, determining and marking any division between each division on contact arcs of the plate blank in the deformation area and the corrugated rollerBoundary points d, determining the abscissa x of each boundary point ddAnd ordinate ydThe expression of (1);
step 5.2: determining the shape parameter a of each region nnAnd bnThe expression of (1);
step 5.3: respectively calculating the rolling stress p of each subarea according to the static balance equation, the plastic condition, the stress boundary condition and the friction condition of each subarean(x)。
Further, the step 5.1: establishing a rectangular coordinate system, determining and marking any dividing point d between each subarea on the contact arc of the plate blank in the deformation area and the corrugated roller, and determining the abscissa x of each dividing point ddAnd ordinate ydThe expression of (c) is specifically as follows:
taking the central connecting line of the upper and lower rollers as a y axis, taking the central horizontal line of the equivalent outlet thickness of the composite plate as an x axis in the positive direction of the y axis, taking the positive direction of the x axis as the reverse rolling direction, and taking the intersection point of the two axes as an origin O to establish a rectangular coordinate system;
the coordinate of any demarcation point d between the partitions is xd＝ρdsinθd，
Figure BDA0003365217310000041
d＝(d1、d2、d3、......)；ρdThe actual radius of the corrugated roller corresponding to the dividing point d can be determined according to the specific waveform of the corrugated roller and the position of the d point; thetadIs the nip angle at which the dividing point d is located, and R is the nominal radius of the corrugated roll and the radius of the flat roll.
Further, the step 5.2: determining the shape parameter a of each region nnAnd bnThe expression of (c) is specifically as follows:
Figure BDA0003365217310000042
bn＝ynd-anxndnd and n (d +1) represent a peak point and a valley point, respectively, adjacent to the left and right of the partition n, yndAnd yn(d+1)The ordinate, x, of the crest and trough points adjacent to each other on the left and right of the regionndAnd xn(d+1)The abscissa indicates the peak point and the valley point adjacent to each other on the left and right of the region.
Further, the step 5.3: according to the static equilibrium equation, the plasticity condition, the stress boundary condition and the friction condition of each subarea, the rolling stress p of each subarea is calculatedn(x) The method comprises the following steps:
(1) if the section n experiences a valley point along the rolling direction, the parameter A is calculated for that section0nWhen the value is negative, the rolling stress p in the partition nn(x) Is as follows;
Figure BDA0003365217310000043
when the region calculates the parameter A0nAt positive values, the rolling stress p in the section nn(x) Is as follows;
Figure BDA0003365217310000044
wherein A is0n＝-R(Ran 2-2b0n-ho) If only yielding metal which is easy to deform but not yielding metal in the calculation area, the parameter b0n＝bn-h1i(ii) a If both layers of metal in the calculation area are already yielding, the parameter b0n＝bn，
Figure BDA0003365217310000045
En＝-2[(-1)z2τ2an-ke]，
Bn＝(-1)z2τ2(2Ran 2-2bn-ho+R)+(-1)z1Rτ1(an 2+1)，
Figure BDA0003365217310000051
CnIs an integration constant, determined by the corresponding boundary condition;
z2 is equal to τ2Direction-dependent parameters, if τ is within a partition n2The direction of the x axis is the same, z2 is even, otherwise, z2 is odd; z1 is equal to τ1Direction-dependent parameters, if τ is within a certain partition n1Z1 is even if the direction of the x-axis is the same, and z1 is odd if the direction of the x-axis is opposite;
(2) if a section n experiences a peak point in the rolling direction, the rolling stress p in this section nn(x) In order to realize the purpose,
Figure BDA0003365217310000052
further, the step 6: calculating the unit width rolling force P of each subarea nnThe method specifically comprises the following steps:
Figure BDA0003365217310000053
wherein c1n and c2n are the upper and lower integral limits of the partition n, and are specifically determined by the abscissa of the left and right demarcation points of the partition n.
Further, the step 7: calculating the total rolling force P of the whole rolling deformation area, specifically as follows:
total rolling force P ═ PⅠ+PⅡ+PⅢ+......)b。
Compared with the prior art, the invention has the following advantages:
the method for predicting the rolling force of the corrugated roller for rolling the metal composite plate is safe, reliable, accurate in calculation, good in programmability and convenient for analyzing the comprehensive influence rule of various process parameters on the rolling force. In addition, the method can better describe the boundary shape of the deformation region, can obtain a stress distribution calculation expression along the deformation region, is convenient for predicting the load concentration position, saves the cost and improves the product performance. The method has no limitation on the type of the corrugated roller and the type of the composite material, and can be widely applied to the rolling force prediction in the corrugated rolling production process of various corrugated roller shapes and various metal composite plates.
Drawings
FIG. 1 is a schematic rolling diagram of a corrugated roller rolled metal composite plate provided by the present invention;
in the figure, 1-hard deformable metal, 2-easy deformable metal, 3-corrugated roll and 4-flat roll.
FIG. 2 is a schematic flow chart of a rolling force prediction method for rolling a metal composite plate by using a corrugated roller according to the present invention;
fig. 3 is a schematic diagram of rolling deformation and modeling zoning of the composite plate provided by the invention.
Detailed Description
The technical scheme of the invention is further explained by the specific embodiment in combination with the attached drawings. It should be understood by those skilled in the art that the specific embodiments are only for the understanding of the present invention and should not be construed as the specific limitations of the present invention.
Fig. 1 shows a schematic rolling diagram of a corrugated roller rolling metal composite plate, in this embodiment, the metal 1 difficult to deform is a copper plate, the metal 2 easy to deform is an aluminum plate, and two metal plate blanks are bound before rolling. Fig. 2 shows a schematic flow chart of a rolling force prediction method for rolling a metal composite plate by using a corrugated roller, as shown in fig. 2, and the specific method is as follows.
Step 1: respectively acquiring required composite plate rolling process parameters including the inlet thickness h of the copper plate according to certain pass rolling process schedule data1i1mm and equivalent outlet thickness h1o0.71mm, inlet thickness h of the aluminum plate2i2mm and equivalent outlet thickness h2o0.81mm, width b of copper and aluminum plates 15mm, and inlet tension σ1i0MPa and σ2i0MPa, composite plate exit tension sigmao0MPa, nominal radius of corrugated roller and radius R of flat roller are 75mm, amplitude A of corrugated roller is 0.55mm, number of complete waves on corrugated roller is 100, and friction factor m between corrugated roller and copper plate10.6 friction factor m between flat roll and aluminum plate2In this embodiment, the copper plate and the aluminum plate are bound together before rolling, and the subsequent process does not involve friction therebetween, which is 0.8 ═ cAnd (4) calculating.
Step 2: according to the thickness h of the slab entrance1i、h2iAnd outlet thickness h1o、h2oAnd calculating the rolling reduction delta h and the inlet position l of the deformation zone in the rolling process.
Δh＝h1i+h2i-h1o-h2o＝1+2-0.71-0.81＝1.48mm
Figure BDA0003365217310000071
And step 3: calculating the shearing friction force tau between the corrugated roller and the copper plate1Shear friction force tau between flat roll and aluminium plate2。
ho＝h1o+h2o＝0.71+0.81＝1.52mm，
Figure BDA0003365217310000072
τ1＝m1ke＝0.6×1.243＝0.746kN，
τ2＝m2ke＝0.8×1.243＝0.995kN，
And 4, step 4: and partitioning the deformation zone according to the rolling process schedule data and the stress characteristics of the plate blank in the deformation zone, wherein each partition is named as I, II and … … from the outlet in sequence, and the total number of the obtained partitions is different according to different rolling processes. In this example, partition I, partition II, partition III, partition IV, partition V, and partition VI were obtained.
And 5: the rolling stress p of each section n (n ═ i, ii, … …) is calculatedn(x)
Step 5.1: establishing a rectangular coordinate system, determining and marking any dividing point d between each subarea on the contact arc of the plate blank in the deformation area and the corrugated roller, and determining the abscissa x of each dividing point ddAnd ordinate ydIs described in (1).
And (3) taking the central connecting line of the upper and lower rollers as a y axis, taking the central horizontal line of the equivalent outlet thickness of the composite plate as an x axis in the positive direction of the y axis, taking the positive direction of the x axis as the reverse rolling direction, and taking the intersection point of the two axes as an origin O to establish a rectangular coordinate system.
As shown in fig. 3, the rolling exit point on the contact arc of the copper plate and the corrugating roll in this embodiment is d1, and the positions where the copper plate starts to be plastically deformed on the contact arc are d2, d3, d4 and d5, respectively, and d 6; the neutral point on the arc of contact of the aluminum plate with the flat roll is d 7.
The coordinate expression of each demarcation point is as follows:
xd1＝0，
Figure BDA0003365217310000073
Figure BDA0003365217310000081
Figure BDA0003365217310000082
Figure BDA0003365217310000083
Figure BDA0003365217310000084
Figure BDA0003365217310000085
Figure BDA0003365217310000086
Figure BDA0003365217310000087
Figure BDA0003365217310000088
the abscissa value of the boundary point is xd1＝0，xd2＝1.187，xd3＝3.507，xd45.928; other boundary points xd6And xd7Can be determined from the corresponding boundary conditions in the subsequent rolling stress calculation.
Step 5.2: determining the shape parameter a of each region nnAnd bnIs described in (1).
Figure BDA0003365217310000089
bⅠ＝yd1-aⅠxd1，
Figure BDA00033652173100000810
bⅡ＝bⅢ＝yd2-aⅡxd2，
Figure BDA00033652173100000811
bⅣ＝yd3-aⅣxd3，
Figure BDA00033652173100000812
bⅤ＝yd4-aⅤxd4，
aⅥ＝0，
Figure BDA00033652173100000813
Wherein h isi＝h1i+h2i
Step 5.3: respectively calculating the rolling stress p of each subarea according to the static balance equation, the plastic condition, the stress boundary condition, the friction condition and the like of each subarean(x) In that respect The method specifically comprises the following steps:
and the rolling stress of the VI area is as follows:
Figure BDA0003365217310000091
wherein
Figure BDA0003365217310000092
EⅥ＝2(τ2aⅥ+k2)，
BⅥ＝-τ2(2RaⅥ 2-2bⅥ+2h1i-ho+R)+Rτ3(aⅥ 2+1)，
Figure BDA0003365217310000093
Figure BDA0003365217310000094
According to
Figure BDA0003365217310000095
Can calculate xd6＝7.728
The rolling stress of the V zone is as follows:
Figure BDA0003365217310000096
wherein
Figure BDA0003365217310000097
EⅤ＝2(τ2aⅤ+ke)，
BⅤ＝-τ2(2RaⅤ 2-2bⅤ-ho+R)+Rτ1(aⅤ 2+1)，
Figure BDA0003365217310000098
Figure BDA0003365217310000099
The rolling stress of the IV area is as follows:
Figure BDA00033652173100000910
Figure BDA00033652173100000911
the rolling stress of the III area is as follows:
Figure BDA0003365217310000101
wherein the content of the first and second substances,
Figure BDA0003365217310000102
EⅢ＝2(τ2aⅣ+ke)，
BⅢ＝-τ2(2RaⅢ 2-2bⅢ-ho+R)+Rτ1(aⅢ 2+1)，
Figure BDA0003365217310000103
Figure BDA0003365217310000104
the rolling stress of the I area is as follows:
Figure BDA0003365217310000105
wherein the content of the first and second substances,
Figure BDA0003365217310000106
the rolling stress of the II area is as follows:
Figure BDA0003365217310000107
wherein
Figure BDA0003365217310000108
EⅡ＝2(-τ2aⅣ+ke)，
BⅡ＝τ2(2RaⅡ 2-2bⅡ-ho+R)+Rτ1(aⅡ 2+1)，
Figure BDA0003365217310000109
Figure BDA00033652173100001010
According to pⅡ(xd7)＝pⅢ(xd7) Can find xd7＝2.227
Step 6: calculating the unit width rolling force P of each subarea nn；
Figure BDA0003365217310000111
Figure BDA0003365217310000112
Figure BDA0003365217310000116
Figure BDA0003365217310000113
Figure BDA0003365217310000114
Figure BDA0003365217310000115
And 7: calculating the total rolling force P of the whole rolling deformation area,
total rolling force P ═ PⅠ+PⅡ+...+PⅥ)b＝43.979kN。
Those skilled in the art will appreciate that the invention may be practiced without these specific details. Although illustrative embodiments of the present invention have been described above to facilitate the understanding of the present invention by those skilled in the art, it should be understood that the present invention is not limited to the scope of the embodiments, and various changes may be made apparent to those skilled in the art as long as they are within the spirit and scope of the present invention as defined and defined by the appended claims, and all matters of the invention which utilize the inventive concepts are protected.

Claims (10)

1. A rolling force prediction method for rolling a metal composite plate by a corrugated roller is characterized by comprising the following steps: the method comprises the following steps:
step 1: respectively acquiring required composite plate rolling process parameters according to certain pass rolling process specification data;
step 2: calculating the rolling reduction delta h and the inlet position l of a deformation area in the rolling process;
and step 3: calculating the shearing friction force tau between the corrugated roller and the metal difficult to deform1Shear friction force tau between flat roll and easily deformable metal2Shear friction tau between a metal difficult to deform and a metal easy to deform before plastic deformation of the metal difficult to deform3；
And 4, step 4: partitioning the deformation zone according to the rolling process schedule data and the stress characteristics of the plate blank in the deformation zone, wherein each partition is named as I, II and … … from the outlet in sequence, and the total number of the obtained partitions is different according to different rolling processes;
and 5: the rolling stress p of each section n (n ═ i, ii, … …) is calculatedn(x)；
Step 6: calculating the unit width rolling force P of each subarea nn；
And 7: and calculating the total rolling force P of the whole rolling deformation area.
2. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the technological parameters of the composite plate rolling required in the step 1 comprise the inlet thickness h of the difficultly deformed metal in contact with the corrugated roller1iAnd equivalent outlet thickness h1oInlet thickness h of easily deformable metal in contact with flat roll2iAnd equivalent outlet thickness h2oWidth b of hardly deformable metal and easily deformable metal, and inlet tension σ of hardly deformable metal and easily deformable metal1iAnd σ2iOutlet tension sigma of composite boardoNominal radius of corrugated roll and radius R of flat roll, amplitude A of corrugated roll profile, number N of complete waves on corrugated roll, friction factor m between corrugated roll and hard-to-deform metal1Friction factor m between flat roll and easily deformable metal2Friction factor m between hard-to-deform metal and easy-to-deform metal3。
3. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 2 of calculating the rolling reduction delta h and the deformation zone entrance position l in the rolling process is specifically based on the slab entrance thickness h1i、h2iAnd outlet thickness h1o、h2oSpecifically, the calculation is as follows: Δ h ═ h1i+h2i-h1o-h2o，
Figure FDA0003365217300000021
4. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 3: calculating the shearing friction force tau between the corrugated roller and the metal difficult to deform1Shear friction force tau between flat roll and easily deformable metal2Shear friction tau between a metal difficult to deform and a metal easy to deform before plastic deformation of the metal difficult to deform3(ii) a The method comprises the following specific steps:
τ1＝m1ke，τ2＝m2ke，τ3＝m3k2，
Figure FDA0003365217300000022
ho＝h1o+h2o，hi＝h1i+h2iwherein k iseIs the equivalent shear yield strength, h, of the composite paneliAnd hoIs the equivalent inlet and outlet thickness, k, of the composite plate1And k2Respectively the shear yield strength of the hard-to-deform metal and the ductile metal.
5. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 5: the rolling stress p of each section n (n ═ i, ii, … …) is calculatedn(x) (ii) a Further comprising the steps of:
step 5.1: establishing a rectangular coordinate system, determining and marking any dividing point d between each subarea on the contact arc of the plate blank in the deformation area and the corrugated roller, and determining the abscissa x of each dividing point ddAnd ordinate ydThe expression of (1);
step 5.2: determining the shape parameter a of each region nnAnd bnThe expression of (1);
step 5.3: respectively calculating each partition according to the static equilibrium equation, the plasticity condition, the stress boundary condition and the friction condition of each partitionZone rolling stress pn(x)。
6. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 5.1: establishing a rectangular coordinate system, determining and marking any dividing point d between each subarea on the contact arc of the plate blank in the deformation area and the corrugated roller, and determining the abscissa x of each dividing point ddAnd ordinate ydThe expression of (c) is specifically as follows:
taking the central connecting line of the upper and lower rollers as a y axis, taking the central horizontal line of the equivalent outlet thickness of the composite plate as an x axis in the positive direction of the y axis, taking the positive direction of the x axis as the reverse rolling direction, and taking the intersection point of the two axes as an origin O to establish a rectangular coordinate system;
the coordinate of any demarcation point d between the partitions is xd＝ρdsinθd，
Figure FDA0003365217300000031
d＝(d1、d2、d3、......)；ρdThe actual radius of the corrugated roller corresponding to the dividing point d is determined according to the specific waveform of the corrugated roller and the position of the d point; thetadIs the nip angle at which the dividing point d is located, and R is the nominal radius of the corrugated roll and the radius of the flat roll.
7. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 5.2: determining the shape parameter a of each region nnAnd bnThe expression of (c) is specifically as follows:
Figure FDA0003365217300000032
bn＝ynd-anxndnd and n (d +1) represent a peak point and a valley point, respectively, adjacent to the left and right of the partition n, yndAnd yn(d+1)The ordinate, x, of the crest and trough points adjacent to each other on the left and right of the regionndAnd xn(d+1)Showing the horizontal sitting of the crest point and the trough point adjacent to the left and right of the areaAnd (4) marking.
8. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 5.3: according to the static equilibrium equation, the plasticity condition, the stress boundary condition and the friction condition of each subarea, the rolling stress p of each subarea is calculatedn(x) The method comprises the following steps:
(1) if the section n experiences a valley point along the rolling direction, the parameter A is calculated for that section0nWhen the value is negative, the rolling stress p in the partition nn(x) Is as follows;
Figure FDA0003365217300000033
when the region calculates the parameter A0nAt positive values, the rolling stress p in the section nn(x) Is as follows;
Figure FDA0003365217300000034
wherein A is0n＝-R(Ran 2-2b0n-ho) If only yielding metal which is easy to deform but not yielding metal in the calculation area, the parameter b0n＝bn-h1i(ii) a If both layers of metal in the calculation area are already yielding, the parameter b0n＝bn，
Figure FDA0003365217300000041
En＝-2[(-1)z2τ2an-ke]，
Bn＝(-1)z2τ2(2Ran 2-2bn-ho+R)+(-1)z1Rτ1(an 2+1)，
Figure FDA0003365217300000042
CnIs an integration constant, determined by the corresponding boundary condition;
z2 is equal to τ2Direction-dependent parameters, if τ is within a partition n2The direction of the x axis is the same, z2 is even, otherwise, z2 is odd; z1 is equal to τ1Direction-dependent parameters, if τ is within a certain partition n1Z1 is even if the direction of the x-axis is the same, and z1 is odd if the direction of the x-axis is opposite;
(2) if a section n experiences a peak point in the rolling direction, the rolling stress p in this section nn(x) In order to realize the purpose,
Figure FDA0003365217300000043
9. the method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 6: calculating the unit width rolling force P of each subarea nnThe method specifically comprises the following steps:
Figure FDA0003365217300000044
wherein c1n and c2n are the upper and lower integral limits of the partition n, and are specifically determined by the abscissa of the left and right demarcation points of the partition n.
10. The method of predicting rolling force of a corrugated roller rolled metal composite plate according to claim 1, wherein: the step 7: calculating the total rolling force P of the whole rolling deformation area, specifically as follows:
total rolling force P ═ PⅠ+PⅡ+PⅢ+......)b。
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114850218A (en) * 2022-07-05 2022-08-05 太原理工大学 Rolling device and method for high-bending-resistance stainless steel/bridge steel composite plate
CN116371941A (en) * 2023-06-05 2023-07-04 太原理工大学 Method and device for predicting rolling force and thickness of each layer of metal composite plate and electronic equipment
CN116984393A (en) * 2023-09-25 2023-11-03 太原理工大学 Rolling force and thickness prediction method, device, equipment and medium for each layer

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114850218A (en) * 2022-07-05 2022-08-05 太原理工大学 Rolling device and method for high-bending-resistance stainless steel/bridge steel composite plate
CN114850218B (en) * 2022-07-05 2022-09-23 太原理工大学 Rolling device and method for high-bending-resistance stainless steel/bridge steel composite plate
CN116371941A (en) * 2023-06-05 2023-07-04 太原理工大学 Method and device for predicting rolling force and thickness of each layer of metal composite plate and electronic equipment
CN116371941B (en) * 2023-06-05 2023-08-18 太原理工大学 Method and device for predicting rolling force and thickness of each layer of metal composite plate and electronic equipment
CN116984393A (en) * 2023-09-25 2023-11-03 太原理工大学 Rolling force and thickness prediction method, device, equipment and medium for each layer
CN116984393B (en) * 2023-09-25 2024-01-02 太原理工大学 Rolling force and thickness prediction method, device, equipment and medium for each layer

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