CN112453071A - Method for predicting rolling force and thickness of each layer of cold-rolled metal composite plate - Google Patents
Method for predicting rolling force and thickness of each layer of cold-rolled metal composite plate Download PDFInfo
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- 238000005096 rolling process Methods 0.000 title claims abstract description 159
- 238000000034 method Methods 0.000 title claims abstract description 42
- 239000002905 metal composite material Substances 0.000 title claims description 22
- 229910052751 metal Inorganic materials 0.000 claims abstract description 99
- 239000002184 metal Substances 0.000 claims abstract description 99
- 238000004364 calculation method Methods 0.000 claims abstract description 29
- 238000004519 manufacturing process Methods 0.000 claims abstract description 7
- 239000002131 composite material Substances 0.000 claims description 33
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 description 16
- 229910052782 aluminium Inorganic materials 0.000 description 16
- 239000010949 copper Substances 0.000 description 13
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 12
- 229910052802 copper Inorganic materials 0.000 description 12
- 238000013329 compounding Methods 0.000 description 3
- 239000000463 material Substances 0.000 description 3
- JRBRVDCKNXZZGH-UHFFFAOYSA-N alumane;copper Chemical compound [AlH3].[Cu] JRBRVDCKNXZZGH-UHFFFAOYSA-N 0.000 description 2
- 238000002474 experimental method Methods 0.000 description 2
- 238000006467 substitution reaction Methods 0.000 description 2
- 201000004569 Blindness Diseases 0.000 description 1
- FYYHWMGAXLPEAU-UHFFFAOYSA-N Magnesium Chemical compound [Mg] FYYHWMGAXLPEAU-UHFFFAOYSA-N 0.000 description 1
- AZDRQVAHHNSJOQ-UHFFFAOYSA-N alumane Chemical compound [AlH3] AZDRQVAHHNSJOQ-UHFFFAOYSA-N 0.000 description 1
- 239000004411 aluminium Substances 0.000 description 1
- 238000010923 batch production Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000004100 electronic packaging Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 229910052749 magnesium Inorganic materials 0.000 description 1
- 239000011777 magnesium Substances 0.000 description 1
- 239000007769 metal material Substances 0.000 description 1
- 239000010970 precious metal Substances 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/58—Roll-force control; Roll-gap control
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/16—Control of thickness, width, diameter or other transverse dimensions
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Abstract
本发明公开了一种冷轧金属复合板的轧制力和各层厚度预测方法，属于复合板轧制技术领域。本方法包括以下步骤：首先获取复合板轧制工艺参数；设定软金属和硬金属板坯在各自等效单板轧制的轧制力计算中所用的轧辊半径，依次计算复合轧制总压下率、软金属、硬金属板坯的压下率，以及在该压下率的出口厚度；在等效单板轧制中将软金属、硬金属板坯从入口厚度轧制到出口厚度时的轧制力；再判断轧制力是否满足收敛条件，如不满足，重新计算，直至满足收敛条件为止；得到双金属冷轧复合板生产时的轧制力；计算出软金属、硬金属板坯的最终出口厚度。本发明对冷轧金属复合板的轧制力和各层厚度进行预测，计算得到的轧制力和各层厚度值基本接近实际值。
The invention discloses a method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad plate, and belongs to the technical field of clad plate rolling. The method includes the following steps: firstly obtaining the clad plate rolling process parameters; setting the roll radius used in the calculation of the rolling force of the respective equivalent veneer rolling for the soft metal and hard metal slabs, and sequentially calculating the clad rolling total pressure Reduction ratio, reduction ratio of soft metal, hard metal slab, and outlet thickness at this reduction ratio; when rolling soft metal, hard metal slab from inlet thickness to outlet thickness in equivalent veneer rolling Then judge whether the rolling force satisfies the convergence conditions, if not, recalculate until the convergence conditions are met; obtain the rolling force during the production of bimetal cold-rolled clad sheet; calculate the soft metal and hard metal sheets Final exit thickness of the billet. The invention predicts the rolling force and the thickness of each layer of the cold-rolled metal clad plate, and the calculated rolling force and the thickness of each layer are basically close to the actual value.
Description
Technical Field
The invention relates to the technical field of composite plate rolling, in particular to a method for predicting the rolling force and the thickness of each layer of a cold-rolled metal composite plate.
Background
The metal layered composite material not only can save a large amount of rare precious metals, but also has the respective excellent characteristics of the base material and the multi-layer material, can meet the special requirements of different environments and use conditions, and is widely applied to various fields of electronic packaging, petrochemical engineering, ocean engineering, aerospace and the like. The rolling and compounding method is a typical layered metal compounding technology, has high production efficiency, is easy to realize batch production, can produce products with larger length and width, and has good product consistency and stable performance, so the rolling and compounding method is widely applied.
The determination of the rolling force in the composite plate rolling process can provide basis for setting of rolling gaps, controlling of plate shapes and the like, and can also guide the design of equipment and the check of strength, so that the method has important significance for production safety and prolonging of the service life of the equipment. The thickness precision of the metal composite plate is one of the main properties for evaluating the product quality, and the thickness of each layer of the rolled composite plate directly influences the subsequent deep processing property and the final comprehensive property of the product. The rolling force in the rolling process of the metal composite plate and the thickness of each layer after rolling are predicted, so that the production assembly and the rolling schedule setting can be guided, materials can be saved to the maximum extent, and rolling equipment can be reasonably utilized.
At present, physical experiment methods and finite element methods are commonly adopted for researching the rolling force and the thickness of each layer of the metal cold-rolled composite plate. But the physical experiment method has long test time, large economic loss, certain blindness and poor flexibility. The finite element method has long calculation time, and each calculation can only display the result of a specific process and is inconvenient for engineering application. Therefore, a method for predicting the rolling force and the thickness of each layer of the cold-rolled metal composite plate, which has the advantages of low cost, high precision, short calculation time and wide application range, is urgently needed.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a method for predicting the rolling force and the thickness of each layer of a cold-rolled metal composite plate.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for predicting the rolling force and the thickness of each layer of a cold-rolled metal composite plate comprises the following steps:
step 1: respectively acquiring the rolling technological parameters of the composite plate according to the rolling technological schedule data of a certain pass, including the inlet thickness h of the soft metal plate blank1iInlet thickness h of hard metal slab2iSlab width b, target total thickness h of the finished composite slaboCoefficient of friction mu between a soft metal blank and a first roll in contact therewith1The coefficient of friction mu between the hard metal slab and the second roll in contact therewith2Original radius R of first roll in contact with soft metal sheet blank and second roll in contact with hard metal sheet blank0(ii) a Wherein the width of the plate blank is equal to the width of the soft metal plate blank and the hard metal plate blank; the original radii of the first roller and the second roller are equal.
Step 2: setting the roll radius R used in the rolling force calculation of the respective equivalent single-plate rolling of the soft metal plate blank and the hard metal plate blank1And R2First calculation of the roll radius R1And R2Is the original radius R of the roll0I.e. R1＝R0，R2＝R0；
And step 3: according to the inlet thickness h of the slab1iAnd h2iAnd target total thickness h of the finished productoCalculating the total rolling reduction rate epsilon of the composite rolling;
and 4, step 4: setting the reduction rate epsilon of the soft metal plate blank in the composite plate rolling1＝ε；
And 5: calculating the reduction rate epsilon of the hard metal plate blank in the composite plate rolling2；
Step 6: calculating the reduction rate epsilon of the soft metal plate blank and the hard metal plate blank respectively1And ε2Lower outlet thickness h1oAnd h2o；
And 7: calculating the ratio of the number of soft metal slabs from h in an equivalent single-slab rolling1iRolling to h1oRolling force P ofd1；
And 8: calculating the ratio of hard metal slabs from h in equivalent single-slab rolling2iRolling to h2oRolling force P ofd2；
And step 9: calculating the respective equivalent roll flattening radii R 'of the soft metal plate blank and the hard metal plate blank in equivalent single-plate rolling'1And R'2；
Step 10: judging the rolling force Pd1And Pd2Whether or not a convergence condition is satisfied
If not, recalculating the reduction epsilon of the soft metal plate blank1Resetting the roll radius R required in the rolling force calculation process1And R2Repeating the operations from the step 5 to the step 10 until the convergence condition is met;
step 11: obtaining the rolling force of the bimetal cold-rolled composite plate during production
Step 12: to obtain epsilon1And ε2Optimum value of (e)1 *And ε2 *Calculating the final outlet thickness h of the soft metal plate blank and the hard metal plate blank during the composite rolling1o *And h2o *。
Further, the step 3: according to the inlet thickness h of the slab1iAnd h2iAnd target total thickness h of the finished productoAnd calculating the total reduction rate epsilon of the composite rolling, specifically according to the formula (1):
still further, the step 5: calculating the reduction rate epsilon of the hard metal plate blank in the composite plate rolling2Specifically, the calculation is performed according to the formula (2):
further, the step 6: calculating the reduction rate epsilon of the soft metal plate blank and the hard metal plate blank respectively1And ε2Lower outlet thickness h1oAnd h2oCalculated according to equations (3) and (4), respectively:
h1o＝(1-ε1)h1i (3)
h2o＝(1-ε2)h2i (4)。
further, the step 7: calculating the ratio of the number of soft metal slabs from h in an equivalent single-slab rolling1iRolling to h1oRolling force P ofd1(ii) a The method specifically comprises the following steps:
step 7.1: calculation of the deformation resistance σ of a soft sheet metal blank1；
Step 7.2: calculating the ratio of the soft metal slab to the soft metal slab in the equivalent single-plate rolling according to the formula (5)1iRolling to h1oEquivalent contact arc length l of time deformation zone1；
Step 7.3: calculating the rolling force P of the soft metal plate blank in the equivalent single-plate rolling according to the formula (6)d1；
Further, the step 8: is calculated at equivalenceRolling a single plate from a hard metal plate blank2iRolling to h2oRolling force P ofd2(ii) a The method specifically comprises the following steps:
step 8.1: calculation of the deformation resistance σ of a hard metal slab2；
Step 8.2: calculating the ratio of the hard metal slab to the sheet metal slab in the equivalent single-plate rolling according to equation (7)2iRolling to h2oEquivalent contact arc length l of time deformation zone2；
Step 8.3: calculating the rolling force P of the hard metal plate blank in the equivalent single-plate rollingd2。
Further, the step 8.3: calculating the rolling force P of the hard metal plate blank in the equivalent single-plate rollingd2Specifically, it is calculated according to equation (8):
further, the step 9: calculating the respective equivalent roll flattening radii R 'of the soft metal plate blank and the hard metal plate blank in equivalent single-plate rolling'1And R'2；R'1And R'2Calculated according to equations (9) and (10), respectively: because the rolling force is larger during rolling, the roller generates an elastic flattening phenomenon, and the actual length of the contact arc is increased, so that the flattening of the roller is considered in the calculation process in order to improve the calculation accuracy of the contact arc length and the rolling force. Equivalent roll flattening radius R'1And R'2Comprises the following steps:
further, the stepsStep 10: judging the rolling force Pd1And Pd2Whether or not a convergence condition is satisfied
If not, recalculating the reduction epsilon of the soft metal plate blank1Resetting the roll radius R required in the rolling force calculation process1And R2Repeating the operations from the step 5 to the step 10 until the convergence condition is satisfied, specifically as follows:
ε1n is the number of loop calculations, and takes positive integers 1, 2, and 3 … …, and increases in order.
Each time the rolling force calculation is circulated to the step 7 and the step 8, the roll radius is recalculated to be the roll flattening radius, namely R is set1＝R1′，R2＝R2′。
Further, the step 12: to obtain epsilon1And ε2Optimum value of (e)1 *And ε2 *Calculating the final outlet thickness h of the soft metal plate blank and the hard metal plate blank during the composite rolling1o *And h2o *Specifically, it is calculated according to equations (11) and (12):
h1o *＝(1-ε1 *)h1i (11)，
h2o *＝(1-ε2 *)h2i (12)。
compared with the prior art, the invention has the following beneficial effects:
the method predicts the rolling force and the thickness of each layer of the cold-rolled metal composite plate, and the calculated values of the rolling force and the thickness of each layer are basically close to actual values. The method of the invention is safe and reliable, can simply, conveniently and accurately predict the rolling force and the thickness of each layer of the copper/aluminum, magnesium/aluminum and other various metal cold-rolled composite plates under different rolling regulations, saves the production investment cost, facilitates the setting of the rolling regulations and the selection of equipment, and improves the precision of the thickness control of the composite plate products.
Drawings
FIG. 1 is a schematic flow chart of a method for predicting rolling force and thickness of each layer of a cold-rolled metal composite plate provided by the invention;
fig. 2 is a schematic rolling diagram of the cold-rolled metal composite plate provided by the invention.
In the figure, 1-soft metal plate blank, 2-hard metal plate blank, 3-first roller and 4-second roller.
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 flow chart of a method for predicting rolling force and thickness of each layer of a cold-rolled metal composite plate according to the present invention, where a soft metal plate blank 1 is an aluminum plate blank and a hard metal plate blank 2 is a copper plate blank, as shown in fig. 1, the method of this embodiment is as follows.
Step 1: respectively acquiring the rolling process parameters of the composite plate according to the rolling process specification data of a certain pass, including the inlet thickness h of the soft metal plate blank 11i2mm, inlet thickness h of the hard metal slab 22i1mm, 30mm of plate blank width b, and total outlet thickness h of copper-aluminum composite plateo1.51mm, coefficient of friction between the aluminum slab and the roll 3, mu10.4, coefficient of friction mu between copper slab and roll 420.35, original radius of roll R0＝75mm。
Step 2: setting the roll radius R used in the rolling force calculation of the respective equivalent single-plate rolling of the aluminum plate blank and the copper plate blank1And R2First calculation of the roll radius R1And R2Is the original radius R of the roll0I.e. R1＝R0＝75mm，R2＝R0＝75mm。
And step 3: according to the inlet thickness h of the slab1iAnd h2iAnd target total thickness h of the finished productoAnd calculating the total reduction rate epsilon of the composite rolling.
And 4, step 4: setting the reduction rate epsilon of the aluminum plate blank in the composite plate rolling1＝ε＝49.7％。
And 5: calculating the reduction rate epsilon of the copper plate blank in the composite plate rolling2。
Step 6: calculating the reduction rate epsilon of the aluminum plate blank and the copper plate blank respectively1And ε2Lower outlet thickness h1oAnd h2o。h1o＝(1-ε1)h1i＝0.503×2＝1.006mm，h2o＝(1-ε2)h2i＝0.503×1＝0.503mm。
And 7: calculating the ratio of the length of the aluminum slab to the length of the aluminum slab h in the equivalent single-plate rolling1iRolling to h1oHour rolling force Pd1。
Step 7.1: calculation of the resistance to deformation σ of aluminium1；
Step 7.2: calculating the ratio of the length of the aluminum slab to the length of the aluminum slab h in the equivalent single-plate rolling1iRolling to h1oEquivalent contact arc length l of time deformation zone1；
Step 7.3: calculating the rolling force P of the aluminum plate blank in the equivalent single-plate rollingd1；
And 8: calculating the ratio of the copper slab to the length h in the equivalent single-plate rolling2iRolling to h2oRolling force P ofd2。
Step 8.1: calculation of the deformation resistance σ of copper2；
Step 8.2: calculating the ratio of the copper slab to the length h in the equivalent single-plate rolling2iRolling to h2oEquivalent contact arc length l of time deformation zone2；
Step 8.3: calculating the rolling force P of the copper plate blank in the equivalent single-plate rollingd2；
And step 9: calculating the respective equivalent roll flattening radius R 'of the aluminum slab and the copper slab in equivalent single-plate rolling'1And R'2。
Step 10: judging the rolling force Pd1And Pd2Whether or not a convergence condition is satisfied
If not, recalculating the reduction rate epsilon of the aluminum slab1Resetting the roll radius R required in the rolling force calculation process1And R2And repeating the operations from the step 5 to the step 10 until the convergence condition is met.
This calculation is carried out when n is equal to 1, i.e. epsilon1＝ε+0.001n＝0.497+0.001×1＝49.8％。
When calculating the first cycle, the roll radius used in the step 7 and the step 8 is calculated by adopting the flattened roll radius, namely R is made1＝R1′＝81.863mm，R2＝R2′＝88.726mm。
Repeating the operations from the step 5 to the step 10, calculating 94 times again, meeting the convergence condition, stopping circulation, and circulating part of data in the calculation process as shown in the table below.
| n | ε1 | ε2 | h1o/mm | h2o/mm | Pd1/kN | Pd2/kN | R'1/mm | R'2/mm |
| 1 | 49.7％ | 49.7％ | 1.006 | 0.503 | 88.034 | 163.636 | 81.963 | 88.925 |
| 2 | 49.8％ | 49.5％ | 1.004 | 0.505 | 97.348 | 186.160 | 82.828 | 90.750 |
| 3 | 49.9％ | 49.3％ | 1.002 | 0.507 | 98.722 | 188.296 | 82.909 | 91.010 |
| 4 | 50.0％ | 49.1％ | 1.000 | 0.509 | 99.083 | 187.835 | 82.890 | 91.070 |
| 5 | 50.1％ | 48.9％ | 0.998 | 0.511 | 99.316 | 187.047 | 82.859 | 91.104 |
| 6 | 50.2％ | 48.7％ | 0.996 | 0.513 | 99.532 | 186.218 | 82.827 | 91.136 |
| 7 | 50.3％ | 48.5％ | 0.994 | 0.515 | 99.747 | 185.386 | 82.794 | 91.167 |
| 8 | 50.4％ | 48.3％ | 0.992 | 0.517 | 99.961 | 184.554 | 82.762 | 91.199 |
| 9 | 50.5％ | 48.1％ | 0.990 | 0.519 | 100.176 | 183.724 | 82.730 | 91.231 |
| 10 | 50.6％ | 47.9％ | 0.988 | 0.521 | 100.391 | 182.896 | 82.698 | 91.264 |
| …… | …… | …… | …… | …… | …… | …… | …… | …… |
| 85 | 58.1％ | 32.9％ | 0.838 | 0.671 | 117.283 | 125.119 | 80.737 | 95.262 |
| 86 | 58.2％ | 32.7％ | 0.836 | 0.673 | 117.521 | 124.404 | 80.716 | 95.345 |
| 87 | 58.3％ | 32.5％ | 0.834 | 0.675 | 117.758 | 123.691 | 80.695 | 95.430 |
| 88 | 58.4％ | 32.3％ | 0.832 | 0.677 | 117.996 | 122.979 | 80.674 | 95.516 |
| 89 | 58.5％ | 32.1％ | 0.830 | 0.679 | 118.234 | 122.268 | 80.653 | 95.604 |
| 90 | 58.6％ | 31.9％ | 0.828 | 0.681 | 118.473 | 121.559 | 80.632 | 95.692 |
| 91 | 58.7％ | 31.7％ | 0.826 | 0.683 | 118.712 | 120.852 | 80.612 | 95.782 |
| 92 | 58.8％ | 31.5％ | 0.824 | 0.685 | 118.952 | 120.145 | 80.591 | 95.874 |
| 93 | 58.9％ | 31.3％ | 0.822 | 0.687 | 119.191 | 119.440 | 80.571 | 95.966 |
| 94 | 59.0％ | 31.1％ | 0.820 | 0.689 | 119.432 | 118.737 |
Step 11: obtaining the rolling force when the cold-rolled copper-aluminum composite board is produced
Step 12: to obtain epsilon1And ε2Optimum value of (e)1 *And ε2 *，ε1 *＝0.59，ε2 *The final exit thickness h of the aluminum and copper sheets at clad-rolling was calculated as 0.3111o *And h2o *，h1o *＝(1-ε1 *)h1i＝0.82mm，h2o *＝(1-ε2 *)h2i＝0.689mm。
In the present embodiment, aluminum is used as the soft metal plate blank 1, and copper is used as the hard metal plate blank 2, which are not intended to limit the soft metal and the hard metal material of the present invention.
The above description is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily conceive of the changes or substitutions within the technical scope of the present invention, and all the changes or substitutions should be covered within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the appended claims.
Claims (10)
1. A method for predicting the rolling force and the thickness of each layer of a cold-rolled metal composite plate is characterized by comprising the following steps of:
step 1: respectively acquiring the rolling technological parameters of the composite plate according to the rolling technological schedule data of a certain pass, including the inlet thickness h of the soft metal plate blank (1)1iInlet thickness h of the hard metal slab (2)2iSlab width b, target total thickness h of the finished composite slaboCoefficient of friction mu between a soft metal blank (1) and a first roll (3) in contact therewith1The coefficient of friction mu between the hard metal slab (2) and the second roll (4) in contact therewith2The original radius R of a first roller (3) in contact with the soft metal slab (1) and a second roller (4) in contact with the hard metal slab (2)0；
Step 2: setting the roll radius R used in the rolling force calculation of the respective equivalent single-plate rolling of the soft metal plate blank (1) and the hard metal plate blank (2)1And R2First calculation of the roll radius R1And R2Is the original radius R of the roll0I.e. R1＝R0，R2＝R0；
And step 3: according to the inlet thickness h of the slab1iAnd h2iAnd toTotal thickness h of targetoCalculating the total rolling reduction rate epsilon of the composite rolling;
and 4, step 4: setting the reduction rate epsilon of a soft metal plate blank (1) in composite plate rolling1＝ε；
And 5: calculating the reduction rate epsilon of the hard metal plate blank (2) in the composite plate rolling2；
Step 6: calculating the reduction rate epsilon of the soft metal plate blank (1) and the hard metal plate blank (2) respectively1And ε2Lower outlet thickness h1oAnd h2o；
And 7: calculating the secondary h of a soft metal slab (1) in an equivalent single-plate rolling1iRolling to h1oRolling force P ofd1；
And 8: calculating the average thickness of the hard metal slab (2) in the equivalent single-slab rolling2iRolling to h2oRolling force P ofd2；
And step 9: calculating the equivalent roll flattening radius R 'of the soft metal plate blank (1) and the hard metal plate blank (2) in equivalent single-plate rolling'1And R'2；
Step 10: judging the rolling force Pd1And Pd2Whether or not a convergence condition is satisfied
If not, recalculating the reduction epsilon of the soft metal plate blank (1)1Resetting the roll radius R required in the rolling force calculation process1And R2Repeating the operations from the step 5 to the step 10 until the convergence condition is met;
step 11: obtaining the rolling force of the bimetal cold-rolled composite plate during production
Step 12: to obtain epsilon1And ε2Optimum value of (e)1 *And ε2 *Calculating the final outlet thickness h of the soft metal plate blank (1) and the hard metal plate blank (2) in the composite rolling1o *And h2o *。
2. The method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 3: according to the inlet thickness h of the slab1iAnd h2iAnd target total thickness h of the finished productoAnd calculating the total reduction rate epsilon of the composite rolling, specifically according to the formula (1):
3. the method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 5: calculating the reduction rate epsilon of the hard metal plate blank (2) in the composite plate rolling2Specifically, the calculation is performed according to the formula (2):
4. the method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 6: calculating the reduction rate epsilon of the soft metal plate blank (1) and the hard metal plate blank (2) respectively1And ε2Lower outlet thickness h1oAnd h2oCalculated according to equations (3) and (4), respectively:
h1o＝(1-ε1)h1i (3)
h2o＝(1-ε2)h2i (4)。
5. the method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 7: calculating the secondary h of a soft metal slab (1) in an equivalent single-plate rolling1iRolling to h1oRolling force P ofd1(ii) a The method specifically comprises the following steps:
step 7.1: calculating the deformation resistance sigma of the soft sheet metal blank (1)1；
Step 7.2: calculating the ratio of h to h of the soft metal slab (1) in the equivalent single-plate rolling according to the formula (5)1iRolling to h1oEquivalent contact arc length l of time deformation zone1；
Step 7.3: calculating the rolling force P of the soft metal plate blank (1) in the equivalent single-plate rolling according to the formula (6)d1；
6. The method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 8: calculating the average thickness of the hard metal slab (2) in the equivalent single-slab rolling2iRolling to h2oRolling force P ofd2(ii) a The method specifically comprises the following steps:
step 8.1: calculating the deformation resistance sigma of a hard metal slab (2)2；
Step 8.2: calculating the average thickness of the hard metal slab (2) in the equivalent single-plate rolling from h according to equation (7)2iRolling to h2oEquivalent contact arc length l of time deformation zone2；
Step 8.3: calculating the rolling force P of the hard metal plate blank (2) in the equivalent single-plate rollingd2。
7. The method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate of claim 6, wherein said step 8.3: counting a hard metal slab (2) inRolling force P in equivalent single-plate rollingd2Specifically, it is calculated according to equation (8):
8. the method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 9: calculating the equivalent roll flattening radius R 'of the soft metal plate blank (1) and the hard metal plate blank (2) in equivalent single-plate rolling'1And R'2；R'1And R'2Calculated according to equations (9) and (10), respectively:
9. the method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 10: judging the rolling force Pd1And Pd2Whether or not a convergence condition is satisfied
If not, recalculating the reduction epsilon of the soft metal plate blank (1)1Resetting the roll radius R required in the rolling force calculation process1And R2Repeating the operations from the step 5 to the step 10 until the convergence condition is satisfied, specifically as follows:
ε1n is the number of loop calculations, taking positive integers and increasing in order.
Each time the rolling force calculation is circulated to step 7 and step 8, the roll radius is recalculatedFlattening the radius of the rear roll, i.e. making R1＝R1′，R2＝R2′。
10. The method of predicting rolling force and thickness of each layer of a cold rolled metal composite plate according to claim 1, wherein said step 12: to obtain epsilon1And ε2Optimum value of (e)1 *And ε2 *Calculating the final outlet thickness h of the soft metal plate blank (1) and the hard metal plate blank (2) in the composite rolling1o *And h2o *Specifically, it is calculated according to equations (11) and (12):
h1o *＝(1-ε1 *)h1i (11)，
h2o *＝(1-ε2 *)h2i (12)。
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