A method for calculating the thickness of double-layer metal composite plates during synchronous and asynchronous rolling

Abstract

The present invention discloses a method for solving the layer thickness of a double-layer metal synchronously and asynchronously rolled composite plate, belonging to the technical field of metal plate rolling composite production; the steps include: calculating the velocity component and strain rate component of each layer of the composite plate according to the initial rolling parameters of the composite plate, defined variables to be determined and boundary conditions, calculating the total rolling power including plastic deformation power, shear power and friction power, functionalizing and optimizing the total power, and finally obtaining an optimization result including the layer thickness of the composite plate; the present invention can accurately predict the layer thickness of the composite plate after rolling according to the initial conditions, can improve the production efficiency, product quality and degree of automation of the composite plate, and is of great significance to the realization of high-quality composite plate production.

Description

Technical Field

[0001] The invention belongs to the technical field of metal plate rolling composite production, and in particular relates to a method for solving the layer thickness of a double-layer metal synchronous and asynchronous rolled composite plate. Background Art

[0002] Metal sheets are used in many fields such as military industry, electric power, petrochemical industry, and urban pipeline network. Compared with pure stainless steel sheets, stainless steel composite sheets can save 30% to 60% of costs in the same application scenarios. In the industrial production of composite plates, the initial layer thickness ratio must be formulated based on the post-rolling layer thickness ratio, and the post-rolling layer thickness ratio is one of the main factors determining the performance of the composite plate. Therefore, predicting the layer thickness ratio of the composite plate is crucial to the production of high-quality composite plates. At present, when preparing composite plates, the initial thickness ratio is usually determined by manual trial and error, which greatly reduces production efficiency, product quality and the degree of automation. Therefore, establishing a calculation model for the layer thickness ratio of composite plates is an urgent need of the industry, which is of great significance to improving the quality of composite plates, improving production efficiency, and setting and optimizing production processes. Summary of the Invention

[0003] The purpose of the present invention is to provide a method for calculating the thickness of a double-layer metal composite plate produced by synchronous and asynchronous rolling, so as to solve the problems existing in the above-mentioned prior art.

[0004] To achieve the above object, the present invention provides a method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate, comprising the following steps:

[0005] Obtaining initial rolling parameters; the initial rolling parameters include the radius of the upper working roll, the radius of the lower working roll, the rotational speeds of the upper and lower working rolls, the yield strength of the composite layer and the base layer, the initial composite plate thickness, the initial composite layer and base layer thickness, the total rolling reduction, the thickness of the composite plate after rolling, the initial velocity of the composite plate, and the friction coefficient between the work roll and the composite plate;

[0006] Obtaining variables to be measured; the variables to be measured include the thickness of the composite layer and the base layer after rolling of the composite plate, the parameters of the composite layer velocity gradient function, and the parameters of the base layer velocity gradient function;

[0007] Calculating the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls and the boundary function of the composite plate joint surface based on the upper and lower working roll radii and the total rolling reduction;

[0008] The second flow rates of the composite layer and base layer are calculated based on the initial velocity of the composite plate, the initial composite layer and base layer thickness respectively;

[0009] Constructing velocity gradient functions of the composite layer and the base layer based on the parameters of the composite layer velocity gradient function and the parameters of the base layer velocity gradient function;

[0010] Calculate the velocity parameters of the composite layer and the base layer based on the velocity gradient function of the composite layer and the base layer, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface;

[0011] Calculate the total deformation power of the deformation zone based on the rate parameters of the composite layer and the base layer;

[0012] The total deformation power is iteratively optimized based on an optimization method, and the iteration ends when the difference between two adjacent optimization results is less than 0.00001, thereby obtaining the minimum total deformation power;

[0013] The thicknesses of the composite layer and the base layer of the composite plate after rolling are obtained based on the minimum total deformation power.

[0014] Optionally, the process of respectively calculating the boundary functions of the upper and lower surfaces of the clad plate and the upper and lower working rolls and the boundary function of the clad plate joint surface based on the upper and lower working roll radii and the total rolling reduction includes:

[0015] Calculating the length of the deformation zone based on the upper and lower work roll radii and the total rolling reduction;

[0016] Calculate the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls based on the length of the deformation zone, the radius of the upper and lower working rolls, and the thickness of the composite plate after rolling;

[0017] The radius of the interface between the composite plate and the base layer is calculated based on the initial base layer thickness, the base layer thickness of the composite plate, the total rolling reduction, and the length of the deformation zone;

[0018] The boundary function of the composite plate interface is calculated based on the radius of the interface between the composite layer and the base layer and the length of the deformation zone.

[0019] Optionally, the process of calculating the rate parameters of the composite layer and the base layer based on the velocity gradient function of the composite layer and the base layer, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface includes:

[0020] Based on the velocity gradient function, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface, the horizontal velocity, vertical velocity, horizontal strain rate, vertical strain rate, and shear strain rate components of the composite layer and the base layer are calculated respectively in combination with the second flow rate of the composite layer and the base layer.

[0021] Optionally, the calculation method of the shear strain rate component of the composite layer includes:

[0022]

[0023] in, represents the shear strain rate component of the composite layer, Φ a is the second flow rate of the complex layer, C ais the velocity gradient function of the multilayer, C a =a1x 2 +b1, a1, b1 are the parameters of the composite layer velocity gradient function, y1(x) is the boundary function of the upper surface of the composite plate and the upper working roll, y j (x) is the boundary function of the composite plate joint surface, y′1(x) and y″1(x) represent the first-order derivative and second-order derivative of the upper boundary function with respect to x, respectively. j (x), y″ j (x) represents the first-order derivative and second-order derivative of the boundary function of the combined surface with respect to x, C′ a 、C a ″ respectively represent the first-order derivative and second-order derivative of the velocity gradient function of complex layer a with respect to x, and y represents the y direction of the coordinate axis.

[0024] Optionally, the calculation method of the shear strain rate component of the base layer includes:

[0025]

[0026] in, represents the shear strain rate component of the base layer, Φ b is the second traffic of the base layer, C b is the base velocity gradient function, C b =a2x 2 +b2, a2, b2 are the parameters of the base velocity gradient function, y2(x) is the boundary function of the lower surface of the composite plate and the lower working roller, y j (x) is the boundary function of the composite plate interface, y′2(x) and y″2(x) represent the first-order derivative and second-order derivative of the lower boundary function with respect to x, respectively. j (x), y″ j (x) represents the first-order derivative and second-order derivative of the boundary function of the bonding surface with respect to x, C b ′、C b ″ respectively represent the first-order derivative and second-order derivative of the velocity gradient function of the base layer b with respect to x, and y represents the y direction of the coordinate axis.

[0027] Optionally, the process of calculating the total deformation power of the deformation zone based on the rate parameters of the composite layer and the base layer includes:

[0028] Calculating the plastic deformation power of the composite layer and the base layer respectively based on the horizontal strain rate;

[0029] Based on the horizontal velocity component and the vertical velocity component, combined with the total rolling reduction, the thickness of the composite layer and the base layer after rolling of the composite plate, the shear power of the composite layer and the base layer are calculated respectively;

[0030] Calculate the friction power of the composite layer and the base layer based on the horizontal velocity component, the vertical velocity component, and the radius of the upper working roll, the radius of the lower working roll, and the boundary function of the upper and lower surfaces of the composite plate and the upper and lower working rolls;

[0031] The total deformation power is obtained based on the plastic deformation power, shear power and friction power of the composite layer and the base layer.

[0032] Optionally, the calculation method of the plastic deformation power of the composite layer and the base layer includes:

[0033]

[0034] in, represents the plastic deformation power of the composite layer, It represents the plastic deformation power of the base layer, L is the length of the deformation zone, denote the horizontal strain rate components of the composite layer and the base layer, σ sa , σ sb Represent the yield strength of the composite layer and the base layer, y1, y2, y j Represent y1(x), y2(x) and y j (x) abbreviation.

[0035] Optionally, the calculation method of the shear power of the composite layer and the base layer includes:

[0036]

[0037] in, represents the shear power of the composite layer, Indicates the shear power of the base layer, U xa 、U xb represent the horizontal velocity components of the composite layer and the base layer respectively, U ya 、U yb Represent the vertical velocity components of the composite layer and the base layer respectively, R2 is the radius of the lower working roll, Δh is the total rolling reduction, σ sa , σ sb Represent the yield strength of the composite layer and the base layer respectively, v0 is the initial velocity of the composite plate, h i is the initial composite plate thickness, h ib is the initial base thickness, h fb is the thickness of the base layer of the composite plate after rolling, and x represents the x-direction of the coordinate axis.

[0038] Optionally, the calculation method of the friction power of the composite layer and the base layer includes:

[0039]

[0040] in, Indicates the friction power between the composite layer and the upper roller, Indicates the friction power between the base and the lower roller, U xa 、U xb represent the horizontal velocity components of the composite layer and the base layer respectively, U ya 、U yb They represent the vertical velocity components of the composite layer and the base layer respectively, y1(x) is the boundary function of the upper surface of the composite plate and the upper working roller, y2(x) is the boundary function of the lower surface of the composite plate and the lower working roller, σ sa , σ sb Represent the yield strength of the composite layer and the base layer respectively, ω1 and ω2 are the rotation speeds of the upper and lower working rolls, R1 and R2 are the radii of the upper and lower working rolls, m1 and m2 are the friction factors between the upper and lower rolls and the composite plate respectively, y′1(x) and y′2(x) are the first-order derivatives of the upper boundary function with respect to x and the lower boundary function with respect to x respectively, x represents the x-direction of the coordinate axis, and y represents the y-direction of the coordinate axis.

[0041] Optionally, the process of obtaining the thickness of the clad layer and the base layer of the composite plate after rolling based on the minimum total deformation power includes:

[0042] The thickness of the corresponding composite plate base layer after rolling is obtained based on the minimum total deformation power, and the thickness of the composite plate composite layer after rolling is obtained based on the difference between the thickness of the composite plate after rolling and the thickness of the composite plate base layer after rolling.

[0043] The technical effects of the present invention are:

[0044] The present invention predicts the thickness of double-layer metal synchronous and asynchronous rolled composite plates based on the initial rolling parameters, and solves the composite plate thickness based on the boundary conditions of the deformation zone and the initial process parameters. Compared with finite element and experimental methods, the present invention has the advantages of fast calculation speed, high calculation accuracy, and can be used for online pre-setting, thereby improving the degree of automation in rolling production. It is of great significance to the production of high-quality composite plates and provides a reference for the production of metal synchronous and asynchronous rolled composite plates. BRIEF DESCRIPTION OF THE DRAWINGS

[0045] The accompanying drawings, which constitute part of this application, are intended to provide a further understanding of this application. The exemplary embodiments and descriptions of this application are intended to explain this application and do not constitute an improper limitation on this application. In the accompanying drawings:

[0046] Figure 1 Schematic diagram of the process of calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate according to an embodiment of the present invention;

[0047] Figure 2 This is a flow chart for calculating the thickness of the composite plate after rolling in an embodiment of the present invention. DETAILED DESCRIPTION

[0048] It should be noted that, in the absence of conflict, the embodiments and features of the embodiments in this application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0049] It should be noted that the steps shown in the flowcharts of the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions, and that, although a logical order is shown in the flowcharts, in some cases, the steps shown or described can be executed in an order different from that shown here.

[0050] Example 1

[0051] like Figure 1 As shown, this embodiment provides a method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate, including:

[0052] The geometric model of double-layer metal rolling bonding is as follows Figure 1 As shown in Figure 2, the rolling and bonding process is considered a plane strain problem, so the geometric model is established in a two-dimensional Cartesian coordinate system. The origin of the coordinate system is the center of the lower work roll.

[0053] The process of calculating the thickness of the composite plate after rolling is as follows: Figure 2 As shown in the figure, R1 and R2 represent the radius of the upper and lower working rolls respectively, where R1 = R2; R j Indicates the radius of the arc of the composite plate bonding surface in the deformation zone; ω1, ω2 respectively represent the rotation speeds of the upper and lower working rolls, where ω1 = ω2 is synchronous rolling and ω1 ≠ ω2 is asynchronous rolling; L represents the length of the deformation zone; h i ,h f Respectively represent the thickness of the composite plate at the inlet and outlet of the working roll; h ia , h fa Respectively represent the thickness of the composite plate layer at the inlet and outlet of the working roll; h ib ,h fb Respectively represent the thickness of the composite plate base at the entrance and exit of the working roll; Δh represents the total reduction of the composite rolling; Γ1, Γ j , Γ2 represent the contact boundaries between the upper work roll and the clad metal, the clad metal and the base metal, and the lower work roll and the base metal, respectively. The clad plate enters the roll gap with an initial velocity of v0.

[0054] Substituting all known initial parameters as shown in Table 1 and the variables to be determined as shown in Table 2 into the following equations, we can obtain the deformation zone length as shown in Formula (1), the upper boundary function as shown in Formula (2), the lower boundary function as shown in Formula (3), the composite plate joint surface radius as shown in Formula (4), the composite plate joint surface boundary function as shown in Formula (5), the second flow rate of the composite layer a and the base layer b as shown in Formula (6), and the velocity gradient function of the composite layer a and the base layer b as shown in Formula (7).

[0055] Table 1

[0056]

[0057]

[0058] Table 2

[0059]

[0060] The length of the rolling deformation zone L is solved by the total rolling reduction Δh and the upper work roll radius R1:

[0061]

[0062] Through the radius R2 of the lower working roll and the thickness h of the composite plate after rolling f , the radius R1 of the upper working roll and the length L of the deformation zone are used to solve the boundary function y1(x) of the upper surface of the composite plate and the upper working roll:

[0063]

[0064] The boundary function y2(x) between the lower surface of the composite plate and the lower working roll is solved by the radius R2 of the lower working roll and the length L of the deformation zone:

[0065]

[0066] By the thickness h of the initial b layer ib 、Export thickness of composite plate layer b h fb , total rolling reduction Δh, and deformation zone length to solve the radius R of the bonding surface between the a layer and the b layer of the composite plate j :

[0067]

[0068] Through the radius R2 of the lower working roll and the thickness h of the base layer after composite plate rolling fb , the length of the deformation zone L and the radius R of the interface between the a layer and the b layer of the composite plate j Solve the boundary function y of the interface between layer a and layer b of the composite plate j (x):

[0069]

[0070] Through the initial velocity v0 of the composite plate, the initial composite layer a thickness h ia , and the initial base layer b thickness h ib Solve for the second flow rate Φ of the complex layer a a and the second flow rate of base b Φ b :

[0071]

[0072] The velocity gradient function of the composite layer a and the base layer b is determined by the parameter ax 2 And parameter b:

[0073]

[0074] The friction coefficient f between the working roller and the composite plate and the initial composite plate thickness h i Solve the friction factor m between the roller and the composite plate:

[0075]

[0076] The horizontal velocity of the composite layer a and the base layer b is calculated using formula (9), the vertical velocity of the composite layer a and the base layer b is calculated using formula (10), the horizontal strain rate of the composite layer a and the base layer b is calculated using formula (11), the vertical strain rate of the composite layer a and the base layer b is calculated using formula (12), the shear strain rate component of the composite layer a is calculated using formula (13), and the shear strain rate component of the base layer b is calculated using formula (14).

[0077]

[0078] In the above formula, U xa and U xb represent the horizontal velocity components of the composite layer a and the base layer b respectively.

[0079]

[0080] In the above formula, U ya and U yb Represent the vertical velocity components of the composite layer a and the base layer b respectively.

[0081]

[0082] In the above formula represent the horizontal strain rate components of composite layer a and base layer b, respectively.

[0083]

[0084] In the above formula represent the vertical strain rate components of composite layer a and base layer b, respectively.

[0085]

[0086] In the above formula represents the shear strain rate component of composite layer a.

[0087]

[0088] In the above formula represents the shear strain rate component of the base layer b.

[0089] The plastic deformation power of layer a and layer b is calculated using formula (15), the shear power of layer a and layer b is calculated using formula (16), and the friction power of layer a and layer b is calculated using formula (17).

[0090]

[0091] In the above formula represents the plastic deformation power of the composite layer a, Represents the plastic deformation power of base layer b.

[0092]

[0093] In the above formula represents the shear power of the composite layer a, Represents the shear power of the base layer b.

[0094]

[0095] In the above formula Indicates the friction power between the composite layer a and the upper roller, Represents the friction power between the base layer b and the lower roller.

[0096] The total deformation power of the deformation zone is calculated using formula (18).

[0097]

[0098] Formula (18) is a formula containing the parameters a1, b1, a2 and h fb The mathematical model of the deformation zone is optimized by the optimization method to obtain the minimum value of the total power (Equation 18). When the difference between two adjacent optimization results is less than 0.00001, the iteration ends and the corresponding minimum point is obtained, that is, the variables a1, b1, a2 and h to be determined fb The value of .

[0099] The calculation result of the thickness of the composite layer a is obtained as shown in formula (19).

[0100] h fa =h f -h fb (19)

[0101] Example 2

[0102] This embodiment provides an implementation example of a method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate, including:

[0103] The material is 1Cr13 / Q235; the thickness of the composite layer / base layer (m): 0.004 / 0.012; the plate width × plate length (m): 0.08 × 0.2 is described in detail. The detailed rolling parameters are shown in Table 3:

[0104] Table 3

[0105]

[0106]

[0107] Solve the deformation zone length, boundary function, etc. in the geometric model based on the initial conditions.

[0108] Substituting into formula (1), we can obtain the deformation zone length L = 0.0318.

[0109] Substitute into formula (2) to obtain the upper boundary function y (1) =(625x 2 ) / 198+106 / 625.

[0110] Substitute into formula (3) to obtain the lower boundary function y (2) =4 / 25-(625x 2 ) / 198.

[0111] Substitute into formula (4) to obtain the bonding surface radius R j =(h fb 2 ) / 0.018-h fb +0.5.

[0112] Substitute into formula (5) to obtain the bonding surface function:

[0113] y j =(12682136550675316736 / 1460982130637796875-(2305843009213693952t fb )

[0114] / 2337571409020475)x 2 +t fb +4 / 25.

[0115] Substituting into formula (6), we can obtain the second flow rate of the composite layer a and the base layer b through any section Φa = 0.0004, Φb = 0.0012.

[0116] Substitute into formula (7) to obtain the velocity gradient function of the complex layer a and the base layer b.

[0117] Substituting into formula (8) we obtain the friction factor m = 0.4371.

[0118] Substitute into formula (9) to obtain the horizontal velocities of the composite layer a and the base layer b.

[0119] Substitute into formula (10) to obtain the vertical velocity of the composite layer a and the base layer b

[0120] Substituting into formulas (11)-(14) we can obtain the horizontal strain rate component, vertical strain rate component and shear strain rate component of the composite layer a and the base layer b.

[0121] Substituting into equations (15)-(17) we can obtain the plastic deformation power, shear power, and friction power of layer a and layer b.

[0122] Substituting into formula (18) we can get the total deformation power.

[0123] The total deformation power is optimized, and the iteration ends when the difference between two adjacent optimization results is less than 0.00001, and the corresponding minimum point is obtained, that is, the variables a1, b1, a2 and h to be determined fb The value of .

[0124] Substituting into formula (19) we can get the thickness of the composite plate.

[0125] Finally, the thickness of the composite layer a of the rolled composite plate is 0.0029m, and the thickness of the layer b is 0.0067m.

[0126] It has been verified that the thickness of the composite plate after rolling obtained by the calculation model is close to the composite plate thickness obtained from the experiment (0.0066m). Therefore, for a given material, workers only need to record and input the initial parameters to easily obtain the thickness of the composite plate after rolling using the formula described in the present invention. This is convenient for workers to actually operate and can realize real-time prediction of the layer thickness in actual composite plate production, which is of great significance for achieving high-quality composite plate production.

[0127] The present invention has the following advantages: ① Calculation time is less than 10 seconds, significantly improving calculation speed compared to finite element and experimental methods. ② High calculation accuracy, with a maximum deviation of no more than 5%. ③ It can be used for online presetting, improving the automation level of rolling production, which is of great significance for achieving high-quality composite plate production.

[0128] The above description is merely a preferred embodiment of the present application, but the scope of protection of the present application is not limited thereto. Any changes or substitutions that can be easily conceived by a person skilled in the art within the technical scope disclosed in the present application should be included in the scope of protection of the present application. Therefore, the scope of protection of the present application should be based on the scope of protection of the claims.

Claims

1. A method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate, characterized in that: The following steps are involved: Obtaining initial rolling parameters; the initial rolling parameters include the radius of the upper working roll, the radius of the lower working roll, the rotational speeds of the upper and lower working rolls, the yield strength of the composite layer and the base layer, the initial composite plate thickness, the initial composite layer and base layer thickness, the total rolling reduction, the thickness of the composite plate after rolling, the initial velocity of the composite plate, and the friction coefficient between the work roll and the composite plate; Obtaining variables to be measured; the variables to be measured include the thickness of the composite layer and the base layer after rolling of the composite plate, the parameters of the composite layer velocity gradient function, and the parameters of the base layer velocity gradient function; Calculating the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls and the boundary function of the composite plate joint surface based on the upper and lower working roll radii and the total rolling reduction; The second flow rates of the composite layer and base layer are calculated based on the initial velocity of the composite plate, the initial composite layer and base layer thickness respectively; Constructing velocity gradient functions of the composite layer and the base layer based on the parameters of the composite layer velocity gradient function and the parameters of the base layer velocity gradient function; Calculate the velocity parameters of the composite layer and the base layer based on the velocity gradient function of the composite layer and the base layer, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface; Calculate the total deformation power of the deformation zone based on the rate parameters of the composite layer and the base layer; The total deformation power is iteratively optimized based on an optimization method, and the iteration ends when the difference between two adjacent optimization results is less than 0.00001, thereby obtaining the minimum total deformation power; Obtaining the thickness of the composite layer and the base layer of the composite plate after rolling based on the minimum total deformation power; The calculation process of the boundary function of the upper surface of the composite plate and the upper working roll is: Through the radius R2 of the lower working roll and the thickness h of the composite plate after rolling f , the radius R1 of the upper working roll and the length L of the deformation zone are used to solve the boundary function y1(x) of the upper surface of the composite plate and the upper working roll: The calculation process of the boundary function of the lower surface of the composite plate and the lower working roll is: The boundary function y2(x) between the lower surface of the composite plate and the lower working roll is solved by the radius R2 of the lower working roll and the length L of the deformation zone: The calculation process of the boundary function of the composite plate joint surface is: Through the radius R2 of the lower working roll and the thickness h of the base layer after composite plate rolling fb , the length of the deformation zone L and the radius R of the interface between the composite plate cladding and the base layer j Solve the boundary function y of the interface between the composite plate and the base layer j (x): The calculation process of the second flow rate of the composite layer and the base layer is: Through the initial velocity v0 of the composite plate and the initial composite layer thickness h ia， and initial base thickness h ib Solve the second flow rate Φ of the complex layer a and the base layer's second traffic Φ b : The calculation process of the velocity gradient function of the composite layer and the base layer is: C a is the velocity gradient function of the multilayer, C b is the base velocity gradient function, a1, b1 are the parameters of the multilayer velocity gradient function, a2, b2 are the parameters of the base velocity gradient function, The process of constructing the velocity gradient function of the composite layer and the base layer includes: The calculation process of the horizontal velocity of the composite layer and the base layer includes: In the above formula, U xa and U xb Represent the horizontal velocity components of the composite layer and the base layer respectively; the calculation process of the vertical velocity of the composite layer and the base layer includes: In the above formula, U ya and U yb Represent the vertical velocity components of the composite layer and the base layer respectively; the calculation process of the velocity parameters of the composite layer and the base layer includes: The calculation process of the horizontal strain rate of the composite layer and the base layer includes: In the above formula represent the horizontal strain rate components of the composite layer and base layer respectively; The calculation process of the vertical strain rate of the composite layer and the base layer includes: In the above formula represent the vertical strain rate components of the composite layer and base layer respectively; The calculation process of the shear strain rate component of the composite layer includes: in, represents the shear strain rate component of the composite layer, Φ a is the second flow rate of the complex layer, C a is the velocity gradient function of the multilayer, C a =a1x 2 +b1, a1, b1 are the parameters of the composite layer velocity gradient function, y1(x) is the boundary function of the upper surface of the composite plate and the upper working roll, y j (x) is the boundary function of the composite plate joint surface, y′1(x) and y″1(x) represent the first-order derivative and second-order derivative of the upper boundary function with respect to x, respectively. j (x), y″ j (x) represents the first-order derivative and second-order derivative of the boundary function of the combined surface with respect to x, C′ a , C″ a They represent the first-order derivative and the second-order derivative of the velocity gradient function of the complex layer a with respect to x, and y represents the direction of the coordinate axis y; The calculation process of the shear strain rate component of the base layer includes: in, represents the shear strain rate component of the base layer, Φ b is the second traffic of the base layer, C b is the base velocity gradient function, C b =a2x 2 +b2, a2, b2 are the parameters of the base velocity gradient function, y2(x) is the boundary function of the lower surface of the composite plate and the lower working roller, y j (x) is the boundary function of the composite plate interface, y′2(x) and y″2(x) represent the first-order derivative and second-order derivative of the lower boundary function with respect to x, respectively. j (x), y″ j (x) represents the first-order derivative and second-order derivative of the boundary function of the bonding surface with respect to x, C b ′、C b ″ respectively represent the first-order derivative and second-order derivative of the velocity gradient function of the base layer b with respect to x, and y represents the y direction of the coordinate axis; The calculation process of the total deformation power of the deformation zone includes: The calculation method of the plastic deformation power of the composite layer and the base layer includes: in, represents the plastic deformation power of the composite layer, It represents the plastic deformation power of the base layer, L is the length of the deformation zone, denote the horizontal strain rate components of the composite layer and the base layer, σ sa , σ sb Represent the yield strength of the composite layer and the base layer, y1, y2, y j Represent y1(x), y2(x) and y j (x) abbreviation; The calculation method of the shear power of the composite layer and the base layer includes: in, represents the shear power of the composite layer, Indicates the shear power of the base layer, U xa 、U xb represent the horizontal velocity components of the composite layer and the base layer respectively, U ya 、U yb Represent the vertical velocity components of the composite layer and the base layer respectively, R2 is the radius of the lower working roll, Δh is the total rolling reduction, σ sa , σ sb Represent the yield strength of the composite layer and the base layer respectively, v0 is the initial velocity of the composite plate, h i is the initial composite plate thickness, h ib is the initial base thickness, h fb is the thickness of the base layer of the composite plate after rolling, and x represents the x direction of the coordinate axis; The calculation method of the friction power of the composite layer and the base layer includes: in, Indicates the friction power between the composite layer and the upper roller, Indicates the friction power between the base and the lower roller, U xa 、U xb represent the horizontal velocity components of the composite layer and the base layer respectively, U ya 、U yb They represent the vertical velocity components of the composite layer and the base layer respectively, y1(x) is the boundary function of the upper surface of the composite plate and the upper working roller, y2(x) is the boundary function of the lower surface of the composite plate and the lower working roller, σ sa , σ sb Represent the yield strength of the composite layer and the base layer respectively, ω1 and ω2 are the rotation speeds of the upper and lower working rolls, and R 1， R2 is the radius of the upper and lower working rolls, m1 and m2 represent the friction factors between the upper and lower rolls and the composite plate, y′1(x) and y′2(x) represent the first-order derivative of the upper boundary function with respect to x and the first-order derivative of the lower boundary function with respect to x, respectively. x represents the x-direction of the coordinate axis, and y represents the y-direction of the coordinate axis. The calculation process of the total deformation power in the deformation zone is:

2. The method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate according to claim 1, characterized in that: The process of respectively calculating the boundary functions of the upper and lower surfaces of the clad plate and the upper and lower working rolls and the boundary function of the clad plate joint surface based on the upper and lower working roll radii and the total rolling reduction includes: Calculating the length of the deformation zone based on the upper and lower work roll radii and the total rolling reduction; Calculate the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls based on the length of the deformation zone, the radius of the upper and lower working rolls, and the thickness of the composite plate after rolling; The radius of the interface between the composite plate and the base layer is calculated based on the initial base layer thickness, the base layer thickness of the composite plate, the total rolling reduction, and the length of the deformation zone; The boundary function of the composite plate interface is calculated based on the radius of the interface between the composite layer and the base layer and the length of the deformation zone.

3. The method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate according to claim 1, characterized in that: The process of calculating the velocity parameters of the composite layer and the base layer based on the velocity gradient function of the composite layer and the base layer, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface includes: Based on the velocity gradient function, the boundary functions of the upper and lower surfaces of the composite plate and the upper and lower working rolls, and the boundary function of the composite plate joint surface, the horizontal velocity, vertical velocity, horizontal strain rate, vertical strain rate, and shear strain rate components of the composite layer and the base layer are calculated respectively in combination with the second flow rate of the composite layer and the base layer.

4. The method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate according to claim 3, characterized in that: The process of calculating the total deformation power of the deformation zone based on the rate parameters of the composite layer and the base layer includes: Calculating the plastic deformation power of the composite layer and the base layer respectively based on the horizontal strain rate; Based on the horizontal velocity component and the vertical velocity component, combined with the total rolling reduction, the thickness of the composite layer and the base layer after rolling of the composite plate, the shear power of the composite layer and the base layer are calculated respectively; Calculate the friction power of the composite layer and the base layer based on the horizontal velocity component, the vertical velocity component, and the radius of the upper working roll, the radius of the lower working roll, and the boundary function of the upper and lower surfaces of the composite plate and the upper and lower working rolls; The total deformation power is obtained based on the plastic deformation power, shear power and friction power of the composite layer and the base layer.

5. The method for calculating the thickness of a double-layer metal synchronous and asynchronous rolled composite plate according to claim 1, characterized in that: The process of obtaining the thickness of the composite layer and the base layer of the composite plate after rolling based on the minimum total deformation power includes: The thickness of the corresponding composite plate base layer after rolling is obtained based on the minimum total deformation power, and the thickness of the composite plate composite layer after rolling is obtained based on the difference between the thickness of the composite plate after rolling and the thickness of the composite plate base layer after rolling.

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