CN112453071B - Method for predicting rolling force and thickness of each layer of cold-rolled metal composite plate - Google Patents

Abstract

The invention discloses a method for predicting rolling force and thickness of each layer of a cold-rolled metal composite plate, and belongs to the technical field of composite plate rolling. The method comprises the following steps: firstly, acquiring rolling technological parameters of the composite plate; setting the roll radius used by the soft metal and the hard metal plate blank in the rolling force calculation of the respective equivalent single plate rolling, and calculating the total reduction rate of the composite rolling, the reduction rate of the soft metal and the hard metal plate blank and the outlet thickness of the reduction rate in turn; rolling force when rolling the soft metal and the hard metal plate blank from the inlet thickness to the outlet thickness in equivalent single plate rolling; judging whether the rolling force meets the convergence condition, if not, recalculating until the convergence condition is met; obtaining the rolling force of the bimetal cold-rolled composite plate during production; and calculating the final outlet thickness of the soft metal and the hard metal plate blank. 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.

Description

A method for predicting rolling force and thickness of each layer of cold-rolled metal clad sheet

technical field

The invention relates to the technical field of clad plate rolling, in particular to a method for predicting the rolling force and the thickness of each layer of a cold-rolled metal clad plate.

Background technique

Metal layered composite materials can not only save a lot of rare and precious metals, but also have the excellent characteristics of base and clad materials, and can meet the special requirements of different environments and conditions of use. They are widely used in electronic packaging, petrochemical, marine engineering, aerospace and other fields. The rolling composite method is a typical layered metal composite technology. The rolling composite method has high production efficiency, is easy to achieve mass production, and can produce products with large length and width. The obtained products have good consistency and stable performance. The compound method is widely used.

The determination of rolling force in the process of clad plate rolling can provide a basis for rolling gap setting and shape control, etc., and can also guide equipment design and strength checking, which is of great importance to production safety and prolonging equipment service life. important meaning. The thickness accuracy of the metal clad plate is one of the main properties for evaluating product quality. The thickness of each layer of the clad plate after rolling directly affects the subsequent deep processing performance and final comprehensive performance of the product. Predicting the rolling force and the thickness of each layer after rolling of the metal clad plate can not only guide the production of billets and the setting of rolling schedules, but also save materials to the greatest extent and make rational use of rolling equipment.

At present, the methods commonly used in the research on the rolling force and the thickness of each layer of metal cold-rolled clad sheet include physical experiment method and finite element method. However, the physical experiment method has long test time, large economic loss, certain blindness and poor flexibility. The finite element method takes a long time to calculate, and each calculation can only display the results of a specific process, which is not convenient for engineering applications. Therefore, there is an urgent need for a method for predicting the rolling force and the thickness of each layer of the cold-rolled metal clad plate with low cost, high precision, short calculation time and wide application range.

SUMMARY OF THE INVENTION

In view of the deficiencies in the prior art, the purpose of the present invention is to provide a method for predicting the rolling force and the thickness of each layer of a cold-rolled metal clad sheet.

To achieve the above object, the present invention has adopted the following technical solutions:

A method for predicting rolling force and thickness of each layer of a cold-rolled metal clad plate, comprising the following steps:

Step 1: Obtain the clad plate rolling process parameters according to the data of a certain pass of rolling process, including the entrance thickness h _1i of the soft metal slab, the entrance thickness h _2i of the hard metal slab, the slab width b, the thickness of the clad plate The target total thickness h _o of the finished product, the friction coefficient μ ₁ between the soft metal slab and the No. 1 roll in contact with it, the friction coefficient μ ₂ between the hard metal slab and the No. 2 roll in contact with it, and the soft metal The original radius R ₀ of the No. 1 roll in contact with the slab and the No. 2 roll in contact with the hard metal slab; the width of the slab is equal to the width of the soft metal slab and the hard metal slab; the No. 1 roll and the No. 2 roll are equal to the original radius.

Step 2: Set the roll radii R ₁ and R ₂ used in the calculation of the rolling force of the respective equivalent veneer rolling for the soft metal slab and the hard metal slab, and the roll radii R ₁ and R used in the first calculation ₂ is the original radius R ₀ of the roll, that is, R ₁ =R ₀ , R ₂ =R ₀ ;

Step 3: Calculate the total reduction ratio ε of clad rolling according to the entrance thickness h _1i and h _2i of the slab and the target total thickness h _o of the finished product;

Step 4: Set the reduction ratio ε ₁ =ε of the soft metal slab in the clad plate rolling;

Step 5: Calculate the reduction ratio ε ₂ of the hard metal slab in the clad plate rolling;

Step 6: Calculate the outlet thickness h _1o and h _2o of the soft metal slab and the hard metal slab at the reduction ratios ε ₁ and ε ₂ , respectively;

Step 7: Calculate the rolling force P _d1 when rolling the soft metal slab from h _1i to h _1o in the equivalent veneer rolling;

Step 8: Calculate the rolling force P _d2 when rolling the hard metal slab from h _2i to h _2o in equivalent veneer rolling;

Step 9: Calculate the respective equivalent roll flattening radii R' ₁ and R' ₂ of the soft metal slab and the hard metal slab in the equivalent veneer rolling;

如不满足，重新计算软金属板坯的压下率ε₁，重新设定轧制力计算过程中所需的轧辊半径R₁和R₂，重复步骤5至步骤10的操作，直至满足收敛条件为止；Step 10: Determine whether the rolling forces P _d1 and P _d2 satisfy the convergence condition

If not, recalculate the reduction ratio ε ₁ of the soft metal slab, reset the roll radii R ₁ and R ₂ required in the rolling force calculation process, and repeat steps 5 to 10 until the convergence conditions are met until;

Step 11: Obtain the rolling force during the production of the bimetallic cold-rolled clad plate

Step 12: Obtain the optimal values ε ₁ ^* and ε ₂ ^* of ε ₁ and ε ₂ , and calculate the final exit thicknesses h _1o ^* and h _2o ^* of the soft metal slab and the hard metal slab during clad rolling.

Further, in the step 3: according to the entrance thickness h _1i and h _2i of the slab and the target total thickness h _o of the finished product, calculate the total reduction ratio ε of the clad rolling, specifically according to formula (1):

Still further, the step 5: calculate the reduction ratio ε ₂ of the hard metal slab in the clad plate rolling, specifically according to formula (2):

Further, the step 6: calculate the outlet thickness h _1o and h _2o of the soft metal slab and the hard metal slab under the reduction ratios ε ₁ and ε ₂ , respectively, according to formulas (3) and (4) respectively. :

h _1o = (1-ε ₁ )h _1i (3)

h _2o =(1-ε ₂ )h _2i (4).

Further, the step 7: calculate the rolling force P _d1 when rolling the soft metal slab from h _1i to h _1o in the equivalent veneer rolling; specifically:

Step 7.1: Calculate the deformation resistance σ ₁ of the soft metal slab;

Step 7.2: Calculate the equivalent contact arc length l ₁ of the deformation zone when rolling the soft metal slab from h _1i to h _1o in the equivalent veneer rolling according to formula (5);

Step 7.3: Calculate the rolling force P _d1 of the soft metal slab in the equivalent veneer rolling according to formula (6);

Further, the step 8: calculate the rolling force P _d2 when rolling the hard metal slab from h _2i to h _2o in the equivalent veneer rolling; specifically:

Step 8.1: Calculate the deformation resistance σ ₂ of the hard metal slab;

Step 8.2: Calculate the equivalent contact arc length l ₂ of the deformation zone when rolling the hard metal slab from h _2i to h _2o in the equivalent veneer rolling according to formula (7);

Step 8.3: Calculate the rolling force P _d2 of the hard metal slab in the equivalent veneer rolling.

Further, the step 8.3: Calculate the rolling force P _d2 of the hard metal slab in the equivalent veneer rolling, specifically calculated according to formula (8):

Further, the step 9: Calculate the respective equivalent roll flattening radii R' ₁ and R' ₂ of the soft metal slab and the hard metal slab in the equivalent veneer rolling; R' ₁ and R' ₂ Calculate according to formulas (9) and (10) respectively: due to the large rolling force during rolling, the roll produces elastic flattening phenomenon, which increases the actual length of the contact arc, so in order to improve the calculation accuracy of the contact arc length and rolling force , roll flattening is considered in the calculation process. The equivalent roll flattening radii _R'1 and _R'2 are:

如不满足，重新计算软金属板坯的压下率ε₁，重新设定轧制力计算过程中所需的轧辊半径R₁和R₂，重复步骤5至步骤10的操作，直至满足收敛条件为止，具体如下：Further, the step 10: judging whether the rolling forces P _d1 and P _d2 satisfy the convergence condition

If not, recalculate the reduction ratio ε ₁ of the soft metal slab, reset the roll radii R ₁ and R ₂ required in the rolling force calculation process, and repeat steps 5 to 10 until the convergence conditions are met So far, as follows:

ε ₁ =ε+0.001n, n is the number of loop computations, which is a positive integer of 1, 2, 3... and increases sequentially.

When the rolling force is calculated in each cycle to step 7 and step 8, the used roll radius adopts the recalculated roll flattening radius, that is, R ₁ =R ₁ ′, R ₂ =R ₂ ′.

Further, the step 12: obtain the optimal values of ε ₁ and ε ₂ ε ₁ ^* and ε ₂ ^* , calculate the final exit thickness h _1o ^* and h of the soft metal slab and the hard metal slab during clad rolling _2o ^* , which is calculated according to formulas (11) and (12):

h _1o ^* = (1-ε ₁ ^* )h _1i (11),

h _2o ^* = (1-ε ₂ ^* )h _2i (12).

Compared with the prior art, the present invention has the following beneficial effects:

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. 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 cold-rolled clad plates of copper/aluminum, magnesium/aluminum and other metals under different rolling schedules, and saves production investment. At the same time, it facilitates the setting of rolling schedule and the selection of equipment, and improves the precision of thickness control of clad plate products.

Description of drawings

1 is a schematic flowchart of a method for predicting rolling force and thickness of each layer of a cold-rolled metal clad sheet provided by the present invention;

FIG. 2 is a schematic diagram of the rolling of the cold-rolled metal clad plate provided by the present invention.

In the figure, 1-soft metal slab, 2-hard metal slab, 3-No.1 roll, 4-No.2 roll.

Detailed ways

The technical solutions of the present invention will be further described below with reference to the accompanying drawings and through specific embodiments. It should be understood by those skilled in the art that the specific embodiments are only for helping the understanding of the present invention, and should not be regarded as a specific limitation of the present invention.

Figure 1 shows a schematic flowchart of the method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet provided by the present invention. In this embodiment, the soft metal slab 1 is an aluminum slab, and the hard metal slab 2 is a copper slab, as shown in Figure 1 As shown, the method of this embodiment is as follows.

Step 1: Obtain the rolling process parameters of the clad plate according to the rolling process specification data of a certain pass, including the entrance thickness of the soft metal slab 1 h _1i = 2 mm, the entrance thickness of the hard metal slab 2 h _2i = 1 mm, and the slab thickness h 2i = 1 mm. The width b=30mm, the total thickness h _o =1.51mm at the outlet of the copper-aluminum composite plate, the friction coefficient between the aluminum slab and the roll 3 μ ₁ =0.4, the friction coefficient between the copper slab and the roll 4 μ ₂ =0.35, the roll Original radius R ₀ =75mm.

Step 2: Set the roll radii R ₁ and R ₂ used in the calculation of the rolling force of the respective equivalent veneer rolling for the aluminum slab and the copper slab, and the roll radii R ₁ and R ₂ used in the first calculation are the original rolls. Radius R ₀ , ie R ₁ =R ₀ =75mm, R ₂ =R ₀ =75mm.

Step 3: Calculate the total reduction ratio ε of the clad rolling according to the entrance thicknesses h _1i and h _2i of the slab and the target total thickness h _o of the finished product.

Step 4: Set the reduction ratio ε ₁ =ε = 49.7% of the aluminum slab in the clad plate rolling.

Step 5: Calculate the reduction ratio ε ₂ of the copper slab in the clad plate rolling.

Step 6: Calculate the outlet thickness h _1o and h _2o of the aluminum slab and the copper slab at the reduction ratios ε ₁ and ε ₂ , respectively. h _1o =(1-ε ₁ )h _1i =0.503×2=1.006 mm, h _2o =(1-ε ₂ )h _2i =0.503×1=0.503 mm.

Step 7: Calculate the rolling force P _d1 when rolling the aluminum slab from h _1i to h _1o in equivalent veneer rolling.

Step 7.1: Calculate the deformation resistance σ ₁ of aluminum;

Step 7.2: Calculate the equivalent contact arc length l ₁ of the deformation zone when the aluminum slab is rolled from h _1i to h _1o in the equivalent veneer rolling;

Step 7.3: Calculate the rolling force P _d1 of the aluminum slab in the equivalent veneer rolling;

Step 8: Calculate the rolling force P _d2 when rolling the copper slab from h _2i to h _2o in the equivalent veneer rolling.

Step 8.1: Calculate the deformation resistance σ ₂ of copper;

Step 8.2: Calculate the equivalent contact arc length l ₂ of the deformation zone when the copper slab is rolled from h _2i to h _2o in the equivalent veneer rolling;

Step 8.3: Calculate the rolling force P _d2 of the copper slab in the equivalent veneer rolling;

Step 9: Calculate the respective equivalent roll flattening radii R' ₁ and R' ₂ of the aluminum slab and the copper slab in the equivalent veneer rolling.

如不满足，重新计算铝板坯的压下率ε₁，重新设定轧制力计算过程中所需的轧辊半径R₁和R₂，重复步骤5至步骤10的操作，直至满足收敛条件为止。Step 10: Determine whether the rolling forces P _d1 and P _d2 satisfy the convergence condition

If not, recalculate the reduction ratio ε ₁ of the aluminum slab, reset the roll radii R ₁ and R ₂ required in the rolling force calculation process, and repeat the operations from steps 5 to 10 until the convergence conditions are met.

In this calculation, n=1, that is, ε ₁ =ε+0.001n=0.497+0.001×1=49.8%.

In the subsequent first cycle calculation, the roll radii used in steps 7 and 8 are calculated using the roll radius after flattening, that is, R ₁ =R ₁ ′=81.863mm, R ₂ =R ₂ ′=88.726 mm.

Repeat the operations from step 5 to step 10, and calculate 94 times again, the convergence condition can be satisfied, and the loop is stopped. Some data of the loop calculation process are shown in the following table.

n ε₁ ε₂ h_1o/mm h_2o/mm P_d1/kN P_d2/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: Obtain the rolling force during the production of the cold-rolled copper-aluminum clad plate

Step 12: Obtain the optimal values of ε ₁ and ε ₂ ε ₁ ^* and ε ₂ ^* , ε ₁ ^* = 0.59, ε ₂ ^* = 0.311, calculate the final exit thickness h _1o ^* and h of the aluminum plate and copper plate during clad rolling _2o ^* , h _1o ^* = (1-ε ₁ ^* )h _1i = 0.82 mm, h _2o ^* = (1-ε ₂ ^* )h _2i = 0.689 mm.

This embodiment further illustrates the technical solution of the present invention by taking aluminum as the soft metal slab 1 and copper as the hard metal slab 2 as an example, but does not limit the soft metal and hard metal materials of the present invention.

The above are only specific embodiments of the present invention, but the protection scope of the present invention is not limited to this. Any person skilled in the art can easily think of changes or substitutions within the technical scope disclosed by the present invention. should be included within the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims (10)

1. a rolling force and each layer thickness prediction method of a cold-rolled metal clad plate, is characterized in that, comprises the following steps: Step 1: Obtain the rolling process parameters of the clad plate according to the data of a certain pass rolling process, including the entrance thickness h _1i of the soft metal slab (1), the entrance thickness h _2i of the hard metal slab (2), and the slab thickness h 2i . Width b, final target total thickness h _o of the composite plate, friction coefficient μ ₁ between the soft metal slab (1) and the No. 1 roll (3) in contact with it, the hard metal slab (2) and the contact with it The friction coefficient μ ₂ between the No. 2 roll (4) of the radius R ₀ ; Step 2: Set the roll radii R 1 and R 2 used in the calculation of the rolling force of the respective equivalent veneer rolling for the soft metal slab (1) and the hard metal slab (2), and the radii R ₁ and R ₂ used in the first calculation The roll radii R ₁ and R ₂ are the original roll radius R ₀ , that is, R ₁ =R ₀ , R ₂ =R ₀ ; Step 3: Calculate the total reduction ratio ε of clad rolling according to the entrance thickness h _1i and h _2i of the slab and the target total thickness h _o of the finished product; Step 4: setting the reduction ratio ε ₁ =ε of the soft metal slab (1) in the clad plate rolling; Step 5: Calculate the reduction ratio ε ₂ of the hard metal slab (2) in the clad plate rolling; Step 6: Calculate the outlet thicknesses h _1o and h _2o of the soft metal slab (1) and the hard metal slab (2) at reduction ratios ε ₁ and ε ₂ , respectively; Step 7: Calculate the rolling force P _d1 when rolling the soft metal slab (1) from h _1i to h _1o in the equivalent veneer rolling; Step 8: Calculate the rolling force P _d2 when rolling the hard metal slab (2) from h _2i to h _2o in the equivalent veneer rolling; Step 9: Calculate the respective equivalent roll flattening radii R' ₁ and R' ₂ of the soft metal slab (1) and the hard metal slab (2) in the equivalent veneer rolling; Step 10: Determine whether the rolling forces P _d1 and P _d2 satisfy the convergence condition

If not satisfied, recalculate the reduction ratio ε ₁ of the soft metal slab (1), reset the roll radii R ₁ and R ₂ required in the rolling force calculation process, and repeat the operations from steps 5 to 10 until until the convergence condition is met; Step 11: Obtain the rolling force during the production of the bimetallic cold-rolled clad plate

Step 12: Obtain the optimal values ε ₁ ^* and ε ₂ ^* of ε ₁ and ε ₂ , and calculate the final exit thickness h _1o ^* and h of the soft metal slab (1) and the hard metal slab (2) during clad rolling _2o ^* . 2 . The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1 , wherein the step 3: according to the inlet thickness h _1i and h _2i of the slab and the finished product target Total thickness h _o , calculate the total reduction ratio ε of clad rolling, specifically according to formula (1):

3. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad plate according to claim 1, wherein said step 5: calculating the The reduction rate ε ₂ is calculated according to formula (2):

4. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1, wherein the step 6: calculating the soft metal slab (1) and the hard metal slab ( 2) The outlet thicknesses h _1o and h _2o at the reduction ratios ε ₁ and ε ₂ , respectively, are calculated according to formulas (3) and (4), respectively: h _1o = (1-ε ₁ )h _1i (3) h _2o =(1-ε ₂ )h _2i (4). 5. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1, wherein the step 7: calculates the amount of soft metal slab in the equivalent veneer rolling (1) The rolling force P _d1 when rolling from h _1i to h _1o ; specifically: Step 7.1: Calculate the deformation resistance σ ₁ of the soft metal slab (1); Step 7.2: Calculate the equivalent contact arc length l ₁ of the deformation zone when the soft metal slab (1) is rolled from h _1i to h _1o in the equivalent veneer rolling according to formula (5);

Step 7.3: Calculate the rolling force P _d1 of the soft metal slab (1) in the equivalent veneer rolling according to the formula (6);

6. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad plate according to claim 1, wherein the step 8: calculates the amount of hard metal slab to be rolled in the equivalent veneer rolling (2) The rolling force P _d2 when rolling from h _2i to h _2o ; specifically: Step 8.1: Calculate the deformation resistance σ ₂ of the hard metal slab (2); Step 8.2: Calculate the equivalent contact arc length l ₂ of the deformation zone when rolling the hard metal slab (2) from h _2i to h _2o in the equivalent veneer rolling according to formula (7);

Step 8.3: Calculate the rolling force P _d2 of the hard metal slab (2) in the equivalent veneer rolling. 7. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 6, wherein the step 8.3: calculates the hard metal slab (2) in the equivalent veneer rolling The rolling force P _d2 during rolling is calculated according to formula (8):

8. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1, wherein the step 9: calculating the soft metal slab (1) and the hard metal slab ( 2) The respective equivalent roll flattening radii R' ₁ and R' ₂ in equivalent veneer rolling; R' ₁ and R' ₂ are calculated according to formulas (9) and (10) respectively:

9 . The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1 , wherein the step 10 is to judge whether the rolling forces P _d1 and P _d2 satisfy the convergence condition. 10 .

If not satisfied, recalculate the reduction ratio ε ₁ of the soft metal slab (1), reset the roll radii R ₁ and R ₂ required in the rolling force calculation process, and repeat the operations from steps 5 to 10 until until the convergence conditions are met, as follows: ε ₁ =ε+0.001n, n is the number of loop calculations, which is a positive integer and increases in turn; When the rolling force is calculated in each cycle to step 7 and step 8, the used roll radius adopts the recalculated roll flattening radius, that is, R ₁ =R ₁ ′, R ₂ =R ₂ ′. 10. The method for predicting the rolling force and thickness of each layer of a cold-rolled metal clad sheet according to claim 1, wherein the step 12: obtaining the optimal values of ε ₁ and ε ₂ ε ₁ ^* and ε ₂ ^* , calculate the final exit thicknesses h _1o ^* and h _2o ^* of the soft metal slab (1) and the hard metal slab (2) during clad rolling, specifically according to formulas (11) and (12): h _1o ^* = (1-ε ₁ ^* )h _1i (11), h _2o ^* = (1-ε ₂ ^* )h _2i (12).

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