Warping quantitative calculation method for tension-free composite rolling of double-layer metal plate strip

Abstract

The invention relates to a warping quantitative calculation method for tension-free composite rolling of a double-layer metal plate strip. The method comprises the following steps: acquiring relevant parameters of the metal plate strip and relevant parameters of rolling mill equipment; calculating the length of a plastic deformation area based on the metal plate strip related parameters and rolling mill equipment related parameters; calculating the length of an inlet elastic deformation area and the length of an outlet elastic deformation area based on the relevant parameters of the metal plate strip and the length of the plastic deformation area; based on the length of the plastic deformation area, the length of the inlet elastic deformation area and the length of the outlet elastic deformation area, calculating the contact arc length of upper and lower rolling deformation areas of the double-layer metal plate strip; establishing a rolling pressure calculation model according to the contact arc length of the upper and lower rolling deformation areas of the double-layer metal plate strip; and dividing the rolling deformation area of the double-layer metal plate strip, and calculating the warping amount of the double-layer metal plate strip according to the divided deformation area and the rolling pressure calculation model. The characteristics of the double-layer metal composite rolling process are closely linked, and blindness and repeatability of experiments are effectively avoided.

Description

Technical Field

[0001] The invention relates to the technical field of metal plate and strip composite rolling, and in particular to a warpage quantitative calculation method for tension-free composite rolling of double-layer metal plates and strips. Background Art

[0002] In recent years, with the rapid development of high-end industries such as aerospace, electronic communications, and rail transit, micro-manufacturing and microelectronics have become important ways to improve the level of equipment intelligence and ensure system stability, and they play an irreplaceable role. At the same time, in order to meet the demand for raw materials in the field of advanced manufacturing, the market and enterprises have put forward increasingly stringent requirements on the preparation process and product quality of metal materials. Metal composite materials have become an indispensable material basis for the high-end manufacturing industry because they make up for the inherent deficiencies of single metal functions, that is, they show the comprehensive performance of the advantages of each component of metal composite materials.

[0003] Since the two metals exhibit different deformation capabilities during the rolling process, warping deformation will occur after the metal composite strip is rolled. Warping defects are common problems in the rolling process of metal composite materials, but the occurrence of warping defects after rolling not only affects the process settings and dimensional accuracy of the rolling process, but also makes it difficult to meet the high-quality production of the downstream precision manufacturing process. At present, there is no specific mechanistic model for calculating the warping of double-layer metal strips. If the warping deformation can be quantitatively calculated, the amount of warping after rolling can be predicted in advance, reducing some unnecessary material losses in the production process, and quantitative calculation is the theoretical basis for finding the optimal process standard to solve the warping problem. Therefore, a quantitative calculation method for the warping of tension-free composite rolling of double-layer metal strips is needed to solve the above problems. Summary of the invention

[0004] The purpose of the present invention is to provide a quantitative calculation method for warping of double-layer metal strip tension-free composite rolling, which is closely related to the characteristics of the double-layer metal composite rolling process and effectively avoids the blindness and repeatability of the experiment.

[0005] To achieve the above object, the present invention provides the following solutions:

[0006] A method for quantitatively calculating the warpage of a double-layer metal strip during tension-free composite rolling, comprising:

[0007] Obtaining parameters related to metal strips and rolling mill equipment;

[0008] Calculating the length of the plastic deformation zone based on the metal strip related parameters and the rolling mill equipment related parameters;

[0009] Calculating the inlet elastic deformation zone length and the outlet elastic deformation zone length based on the metal strip related parameters and the plastic deformation zone length;

[0010] Calculating the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip based on the length of the plastic deformation zone, the length of the inlet elastic deformation zone, and the length of the outlet elastic deformation zone;

[0011] A rolling pressure calculation model is established according to the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip;

[0012] The rolling deformation zone of the double-layer metal strip is divided, and the warping amount of the double-layer metal strip is calculated according to the divided deformation zones and the rolling pressure calculation model.

[0013] Preferably, the metal strip related parameters include: base metal inlet thickness, base metal outlet thickness, cladding metal inlet thickness, cladding metal outlet thickness;

[0014] The rolling mill equipment related parameters include: working roll radius, working roll Young's modulus, and working roll Poisson's ratio.

[0015] Preferably, calculating the length of the plastic deformation zone includes:

[0016] Calculating the material property influence coefficient of the double-layer metal strip according to the metal strip related parameters;

[0017] Calculate the maximum rolling pressure distribution in the deformation zone of a double-layer metal strip;

[0018] The length of the plastic deformation zone is calculated according to the material property influence coefficient, the maximum rolling pressure distribution in the deformation zone, the metal strip related parameters and the rolling mill equipment related parameters.

[0019] Preferably, the material property influence coefficient includes the material property influence coefficient of the base metal strip and the material property influence coefficient of the cladding metal strip;

[0020] The influence coefficient of the material properties of the base metal strip is:

[0021]

[0022] The material property influence coefficient of the cladding metal strip is:

[0023]

[0024] Among them, ξ 1J is the influence coefficient of the properties of the base metal material, ξ 1F is the influence coefficient of the cladding metal material properties, σ s1J is the deformation resistance of the base metal outlet, v J is the Poisson's ratio of the base metal, h 1J is the measured value of the base metal outlet thickness, E Jis the Young's modulus of the base metal, h 0J is the measured value of the base metal entrance thickness, σ s1F is the deformation resistance of the cladding metal outlet, v F is the Poisson's ratio of the cladding metal, E F is the Young's modulus of the cladding metal, h 0F is the measured value of the cladding metal inlet thickness, h 1F is the measured value of the cladding metal outlet thickness;

[0025] The maximum rolling pressure distribution in the deformation zone of the double-layer metal strip includes the maximum rolling pressure distribution in the deformation zone of the base metal strip and the maximum rolling pressure distribution in the deformation zone of the cladding metal strip;

[0026] The maximum rolling pressure distribution in the deformation zone of the base metal strip is:

[0027]

[0028] The maximum rolling pressure distribution in the deformation zone of the cladding metal strip is:

[0029]

[0030] Among them, p Jmax is the maximum rolling pressure distribution in the deformation zone of the base metal, α is the specific gravity coefficient of the elliptical modeling, and p J is the unit rolling force between the roll and the base metal, l JZ is the contact arc length of the base metal rolling deformation zone, p Fmax is the maximum rolling pressure distribution in the deformation zone of the cladding metal, p F is the unit rolling force between the roll and the cladding metal, l FZ is the contact arc length of the rolled deformation zone of the cladding metal;

[0031] The length of the plastic deformation zone includes the length of the plastic deformation zone of the base metal strip and the length of the plastic deformation zone of the cladding metal strip;

[0032] The length of the plastic deformation zone of the base metal strip is:

[0033]

[0034] The length of the plastic deformation zone of the cladding metal strip is:

[0035]

[0036] Among them, l J is the length of the plastic deformation zone of the base metal strip, R is the radius of the working roll, E r is the Young's modulus of the working roll, v r is the Poisson's ratio of the working roll, lF is the length of the plastic deformation zone of the clad metal strip.

[0037] Preferably, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone are calculated as:

[0038] The length of the entrance elastic deformation zone of the base metal strip is:

[0039]

[0040] The length of the exit elastic deformation zone of the base metal strip is:

[0041]

[0042] Where Δx 0J is the length of the elastic deformation zone at the entrance of the base metal strip, σ s0J is the deformation resistance of the base metal entrance, Δx 1J is the length of the exit elastic deformation zone of the base metal strip, μ rz is the friction coefficient;

[0043] The length of the entrance elastic deformation zone of the cladding metal strip is:

[0044]

[0045] The length of the outlet elastic deformation zone of the clad metal strip is:

[0046]

[0047] Where Δx 0F is the length of the elastic deformation zone at the entrance of the cladding metal strip, σ s0F is the deformation resistance of the cladding metal entrance, Δx 1F is the length of the outlet elastic deformation zone of the clad metal strip.

[0048] Preferably, the rolling pressure calculation model is:

[0049] P J (x) = ψ J (x)+α J (x);

[0050] P F (x) = ψ F (x)+α F (x);

[0051]

[0052] Among them, x is the position coordinate of the double-layer metal strip composite rolling process, a 1J , a2Jis the horizontal coordinate of the two intersection points where the rolling pressure value of the base metal strip is 0, a 1F 、a 2F is the horizontal coordinate of the two intersection points where the rolling pressure function value of the base metal strip is 0, P is the rolling force, α J (x), α F (x) is the empirical error term of rolling pressure, P J (x) is the rolling pressure function of the base metal strip, ψ J (x) is the initial rolling pressure function of the base metal strip, P F (x) is the rolling pressure function of the clad metal strip, ψ F (x) is the initial rolling pressure function of the clad metal strip.

[0053] Preferably, dividing the rolling deformation zone of the double-layer metal strip includes:

[0054] According to the stress and composite state of the double-layer metal strip, the rolling deformation zone of the double-layer metal strip is divided into an entrance semi-rolling zone, a relative sliding zone, a rolling composite zone, and an exit semi-rolling zone.

[0055] Preferably, calculating the warpage of the double-layer metal strip includes:

[0056] The warping of the divided entrance semi-rolling zone, relative sliding zone, rolling compound zone, and exit semi-rolling zone is quantified in turn, a warping model is constructed, and the warping amount of the double-layer metal strip is calculated, wherein the warping amount of the entrance semi-rolling zone is zero, the warping amount of the sliding zone is obtained based on the radius of the lower roll in a flattened state, the warping amount of the rolling compound zone is obtained based on a geometric relationship, and the warping amount of the exit semi-rolling zone is obtained based on the roll diameter of the lower working roll;

[0057] The warping model is:

[0058] δ=M1δ 相对滑动区 +M2δ 轧制复合区 +M3δ 出口半轧区 ;

[0059] Among them, M1, M2, and M3 are process parameters, δ is the warpage of the double-layer metal strip, and δ 相对滑动区 ,δ 轧制复合区 ,δ 出口半轧区 They are the warpage in the relative sliding zone, the warpage in the rolling composite zone, and the warpage in the exit semi-rolling zone.

[0060] Preferably, quantifying the warpage of the rolled composite zone comprises:

[0061] Determine the critical value of the rolling pressure of the double-layer metal strip, and bring it into the rolling pressure calculation model to obtain the horizontal coordinate of the critical point of the rolling composite zone;

[0062] Substitute the abscissa of the critical point of the rolling composite zone and the abscissa of the intersection of the rolling pressure calculation model and the x-axis into the upper and lower roll geometric relationship models to obtain the theoretical value of the entrance thickness, the theoretical value of the exit thickness and the thickness change of the rolling composite zone;

[0063] According to the Poisson's ratio of the base layer and the cladding layer metal and the thickness change of the rolling composite zone, obtaining the length change of the rolling composite zone in the rolling direction;

[0064] Obtaining an equivalent arc according to the theoretical value of the entrance thickness of the rolling composite zone, the theoretical value of the exit thickness, the thickness change and the length change in the rolling direction;

[0065] Based on the equivalent circular arc, the warpage amount of the rolled composite zone is obtained.

[0066] Preferably, the warping amount of the rolled composite zone is:

[0067]

[0068] Among them, r 等效 is the equivalent arc radius, L J , L F is the initial length of base metal and cladding metal, Δh fhF is the thickness change of the cladding metal, Δh fhJ is the thickness change of the base metal, h 1J ' is the theoretical value of the base metal outlet thickness, v F is the Poisson's ratio of the cladding metal, v J is the Poisson's ratio of the base metal, h 1F ' is the theoretical value of the cladding metal outlet thickness.

[0069] The beneficial effects of the present invention are as follows: the present invention combines the parameters related to the double-layer metal strip and the rolling mill equipment and the rolling mechanism of the double-layer metal, and sequentially realizes the calculation of the elastic deformation zone of the base and cladding material outlet, the elastic deformation zone of the base and cladding material inlet, and the plastic deformation zone of the base and cladding material, and obtains the contact arc length formula of the base and cladding metal. Combining the contact arc length with the rolling force, the rolling pressure function of the base and cladding metal is established, the rolling pressure change law of the double-layer metal during the rolling process is described, and the rolling composite critical point is obtained. Then, utilizing the stress characteristics of the base and cladding materials and the composite state of the base and cladding materials, they are divided into the entrance semi-rolling zone, relative sliding zone, rolling composite zone, and exit semi-rolling zone in sequence. Since the formation of warping defects can be understood as the comprehensive manifestation of the influence of each region, that is, the degree of influence of this region on warping is studied separately in combination with the characteristics of each region, and the formula is used to quantitatively describe the region. A quantitative method for warping is obtained by combining the descriptions of the above regions and the process parameters, which realizes the quantitative characterization of the degree of warping in the tension-free double-layer metal plate and strip composite rolling, thereby effectively avoiding the blindness and repeatability of the experiment in exploring the tension-free double-layer metal plate and strip composite rolling process. BRIEF DESCRIPTION OF THE DRAWINGS

[0070] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0071] Figure 1 It is a schematic diagram of a device for calculating warpage quantification in a double-layer metal composite rolling process according to an embodiment of the present invention;

[0072] Figure 2 It is an overall flow chart of a method for quantitatively calculating the warpage of a double-layer metal strip during tension-free composite rolling according to an embodiment of the present invention;

[0073] Figure 3 A schematic diagram of the contact arc length of the deformation zone during the double-layer metal composite rolling process according to an embodiment of the present invention;

[0074] Figure 4 It is a schematic diagram of the rolling mechanism of the entrance semi-rolling zone, the relative sliding zone, the rolling composite zone and the exit semi-rolling zone according to an embodiment of the present invention;

[0075] Figure 5 This is a flow chart of quantitative calculation of the rolling composite zone according to an embodiment of the present invention. DETAILED DESCRIPTION

[0076] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0077] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0078] like Figure 2 As shown, this embodiment provides a method for quantitatively calculating the warpage of a double-layer metal strip during tension-free composite rolling, comprising:

[0079] Obtaining parameters related to metal strips and rolling mill equipment;

[0080] Calculate the length of the plastic deformation zone based on the relevant parameters of the metal strip and the rolling mill equipment;

[0081] Based on the relevant parameters of the metal strip and the length of the plastic deformation zone, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone are calculated;

[0082] Based on the length of the plastic deformation zone, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone, the contact arc length of the upper and lower rolling deformation zones of the double-layer metal strip is calculated;

[0083] A rolling pressure calculation model is established according to the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip; the rolling deformation zone of the double-layer metal strip is divided, and the warping of the double-layer metal strip is calculated according to the divided deformation areas and the rolling pressure calculation model.

[0084] Specifically, this embodiment combines the relationship between the contact arc length and the rolling force, the roller and the strip parameters, and sequentially realizes the calculation of the contact arc length of the base and cladding material outlet elastic deformation zone, the base and cladding material inlet elastic deformation zone, the base and cladding material plastic deformation zone and the base and cladding material entire deformation zone. Then, using the force characteristics of the base and cladding materials and the composite state of the base and cladding materials, they are divided into the inlet semi-rolling zone, the relative sliding zone, the rolling composite zone, and the outlet semi-rolling zone, and quantitatively described one by one, to obtain a quantitative method for warping.

[0085] Further, the metal strip related parameters include: base metal inlet thickness, base metal outlet thickness, cladding metal inlet thickness, cladding metal outlet thickness;

[0086] The relevant parameters of rolling mill equipment include: working roll radius, working roll Young's modulus and working roll Poisson's ratio.

[0087] Furthermore, the calculation of the length of the plastic deformation zone includes:

[0088] According to the relevant parameters of the metal strip, calculate the material property influence coefficient of the double-layer metal strip;

[0089] Calculate the maximum rolling pressure distribution in the deformation zone of a double-layer metal strip;

[0090] The length of the plastic deformation zone is calculated based on the influence coefficient of material properties, the maximum rolling pressure distribution in the deformation zone, relevant parameters of the metal strip and relevant parameters of the rolling mill equipment.

[0091] Furthermore, the length l of the plastic deformation zone of the double-layer metal strip is calculated J , l F ,like Figure 3 As shown, the following steps are included:

[0092] (a1) Calculating the material property influence coefficient of the double-layer metal strip, including the material property influence coefficient of the base metal strip and the material property influence coefficient of the cladding metal strip;

[0093] The influence coefficient of the material properties of the base metal strip is:

[0094]

[0095] The influence coefficient of the material properties of the cladding metal strip is:

[0096]

[0097] Among them, ξ 1J is the influence coefficient of the properties of the base metal material, ξ 1F is the influence coefficient of the cladding metal material properties, σ s1J is the deformation resistance of the base metal outlet, v J is the Poisson's ratio of the base metal, h 1J is the measured value of the base metal outlet thickness, E J is the Young's modulus of the base metal, h 0J is the measured value of the base metal entrance thickness, σ s1F is the deformation resistance of the cladding metal outlet, v F is the Poisson's ratio of the cladding metal, E F is the Young's modulus of the cladding metal, h 0F is the measured value of the cladding metal inlet thickness, h 1F is the measured value of the cladding metal outlet thickness;

[0098] (a2) Calculate the maximum rolling pressure distribution in the deformation zone of the double-layer metal strip, including the maximum rolling pressure distribution in the deformation zone of the base metal strip and the maximum rolling pressure distribution in the deformation zone of the cladding metal strip.

[0099] The maximum rolling pressure distribution in the deformation zone of the base metal strip is:

[0100]

[0101] The maximum rolling pressure distribution in the deformation zone of the clad metal strip is:

[0102]

[0103] Among them, p Jmax is the maximum rolling pressure distribution in the deformation zone of the base metal, α is the specific gravity coefficient of the elliptical modeling, and p J is the unit rolling force between the roll and the base metal, l JZ is the contact arc length of the base metal rolling deformation zone, p Fmax is the maximum rolling pressure distribution in the deformation zone of the cladding metal, p F is the unit rolling force between the roll and the cladding metal, l FZ is the contact arc length of the rolled deformation zone of the cladding metal;

[0104] (a3) Calculating the length of the plastic deformation zone of the double-layer metal strip, including the length of the plastic deformation zone of the base metal strip and the length of the plastic deformation zone of the cladding metal strip;

[0105] The length of the plastic deformation zone of the base metal strip is:

[0106]

[0107] The length of the plastic deformation zone of the cladding metal strip is:

[0108]

[0109] Among them, lJ is the length of the plastic deformation zone of the base metal strip, R is the radius of the working roll, E r is the Young's modulus of the working roll, v r is the Poisson's ratio of the working roll, l F is the length of the plastic deformation zone of the clad metal strip.

[0110] Furthermore, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone of the double-layer metal sheet strip are calculated, including the length of the inlet elastic deformation zone of the base metal sheet strip, the length of the outlet elastic deformation zone of the base metal sheet strip, the length of the inlet elastic deformation zone of the cladding metal sheet strip, and the length of the outlet elastic deformation zone of the cladding metal sheet strip.

[0111] The length of the entrance elastic deformation zone of the base metal strip is:

[0112]

[0113] The length of the exit elastic deformation zone of the base metal strip is:

[0114]

[0115] Where Δx 0J is the length of the elastic deformation zone at the entrance of the base metal strip, σ s0J is the deformation resistance of the base metal entrance, Δx1J is the length of the exit elastic deformation zone of the base metal strip, μ rz is the friction coefficient;

[0116] The length of the entrance elastic deformation zone of the cladding metal strip is:

[0117]

[0118] The length of the outlet elastic deformation zone of the clad metal strip is:

[0119]

[0120] Where Δx 0F is the length of the elastic deformation zone at the entrance of the cladding metal strip, σ s0F is the deformation resistance of the cladding metal entrance, Δx 1F is the length of the outlet elastic deformation zone of the clad metal strip.

[0121] Furthermore, the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip are calculated, including the contact arc length l of the base metal strip JZ , contact arc length l of the cladding metal strip FZ The contact arc length of the rolling deformation zone is related to the length of the entrance elastic deformation zone, the length of the plastic deformation zone, and the length of the exit elastic deformation zone. The contact arc length of the rolling deformation zone is also the range of action of the rolling pressure function. The specific expression is as follows:

[0122] l JZ =Δx 0J +l J +Δx 1J ;

[0123] l FZ =Δx 0F +l F +Δx 1F ;

[0124] The contact arc length of the rolling deformation zone is obtained by combining the formula of the plastic deformation zone length of the base layer and the cladding metal strip, the entrance elastic deformation zone length of the base layer and the cladding metal strip and the contact arc length of the rolling deformation zone.

[0125] Further, the rolling pressure function of the base layer and the cladding metal is calculated, including the following steps:

[0126] (b1) Set the rolling pressure value of the base metal strip to 0. The horizontal coordinates of the two intersection points are a from left to right. 1J 、a 2J The horizontal coordinates of the two intersection points where the rolling pressure function value of the clad metal strip is 0 are a from left to right. 1F 、a 2F ;

[0127] (b2) When the rolling force is P, according to the rolling pressure function characteristics of the base and cladding metal strips, the following relationship exists:

[0128] a 2J -a 1J = l JZ ;

[0129] a 2F -a 1F = l FZ ;

[0130] Among them, a 1J 、a 2J is the horizontal coordinate of the intersection of the base rolling pressure function and the x-axis, P is the rolling force, μ is the function mean, σ is the function variance, a 1F 、a 2F is the abscissa of the intersection of the cladding rolling pressure function and the x-axis;

[0131] (b3) Calculate the rolling pressure function of the double-layer metal strip, i.e., the rolling pressure calculation model, including the initial rolling pressure function of the base metal strip Initial rolling pressure function of clad metal strip

[0132] Among them, x is the position coordinate of the double-layer metal strip composite rolling process;

[0133] (b4) Determine the rolling pressure empirical error term α based on experiments J (x), calculate the specific rolling pressure function, namely P J (x) = ψ J (x)+α J (x), P F (x) = ψ F (x)+α F (x).

[0134] Furthermore, the rolling deformation zone of the double-layer metal strip is divided into:

[0135] According to the stress and composite state of the double-layer metal strip, the rolling deformation zone of the double-layer metal strip is divided into an entrance semi-rolling zone, a relative sliding zone, a rolling composite zone, and an exit semi-rolling zone.

[0136] Specifically, Figure 4 As shown in (c1), the entrance semi-rolling zone is divided. The deformable side contacts the upper roll first, but the non-deformable side does not contact the lower roll. The two do not composite. Both tend to lean toward the lower working roll surface, forming a semi-rolling state; (c2) The relative sliding zone is divided. Compared with the exit and entrance semi-rolling zones, there are rolling forces on both sides of this zone, but the rolling pressure is not enough to composite. Because the force of the upper roll per unit arc length is different from that of the lower roll, and at this time, the double-layer metal strip has been squeezed between the upper and lower rolls, there is no gap between it and the rolls; (c3) The rolling composite zone is divided, which is an important area that determines whether the double-layer metal strip can composite. When the rolling force is higher than the composite critical value, the double-layer metal strip is in a composite state; (c4) The exit semi-rolling zone is divided. Because the lower surface of the non-deformable side is unloaded, the double-layer metal strip is pressed against the lower working roll surface, forming a semi-rolling state.

[0137] Furthermore, the calculation of the warpage of the double-layer metal strip includes:

[0138] The warping of the divided entrance semi-rolling zone, relative sliding zone, rolling compound zone, and exit semi-rolling zone is quantified in turn, a warping model is constructed, and the warping amount of the double-layer metal strip is calculated, wherein the warping amount of the entrance semi-rolling zone is zero, the warping amount of the sliding zone is obtained based on the radius of the lower roll in the flattened state, the warping amount of the rolling compound zone is obtained based on the geometric relationship, and the warping amount of the exit semi-rolling zone is obtained based on the roll diameter of the lower working roll;

[0139] The warping model is:

[0140] δ=M1δ 相对滑动区 +M2δ 轧制复合区 +M3δ 出口半轧区

[0141] Among them, M1, M2, and M3 are process parameters, δ is the warpage of the double-layer metal strip, and δ 相对滑动区 , δ 轧制复合区 , δ 出口半轧区 They are the warpage in the relative sliding zone, the warpage in the rolling composite zone, and the warpage in the exit semi-rolling zone.

[0142] Specifically, the warpage of each area of ​​rolling deformation is quantitatively described, including the following steps:

[0143] (d1) Quantify the semi-rolled area at the entrance. According to the characteristics of the area, the two are not combined, but only reflect the flow direction of the double-layer metal, that is, δ 入口半轧区 ≈0;

[0144] (d2) Quantify the relative sliding area. According to the regional characteristics, the warping of the relative sliding area is equal to the radius curvature of the lower roller in the flattened state. R' is the radius of the lower roller in the flattened state, that is,

[0145] (d3) Quantify the rolling composite area, according to regional characteristics, such as Figure 5 As shown, the following relationship:

[0146] (d3-1) Setting the critical rolling pressure β of steel / aluminum thin strip composite 轧制 , according to the rolling pressure function of the base layer and the cladding layer, determine the horizontal coordinate x of the rolling composite critical point 轧制 , the specific relationship is as follows:

[0147] β 轧制 =ψ J (x 轧制 )+α J (x 轧制 )

[0148] β 轧制 =ψ F (x 轧制 )+α F (x 轧制 )

[0149] The two x are obtained by the rolling pressure function of the base layer and the cladding layer. 轧制 , take the minimum value as x calculated in steps d3-3 and d3-4 轧制 ;

[0150] (d3-2) The coordinate system of the roll geometry equation coincides with the rolling pressure function, and the upper roll geometry equation (geometric relationship model) established is: The geometric equation (geometric relationship model) of the lower roller is: Among them, λ1, λ2, λ3, and λ4 are geometric influencing parameters determined according to actual working conditions;

[0151] (d3-3) The horizontal coordinate x of the critical point of rolling composite 轧制 , the horizontal coordinate a of the intersection of the rolling pressure function and the x-axis 2J Substitute it into the geometric equation of the upper roll in contact with the base metal to obtain the value of y and then obtain the theoretical value of the base metal entrance thickness h fhJ , Theoretical value of outlet thickness h 1J ', get the base metal thickness change Δh fhJ ;

[0152] (d3-4) The horizontal coordinate x of the critical point of rolling composite 轧制 , the horizontal coordinate a of the intersection of the rolling pressure function and the x-axis 2FSubstituting it into the geometric equation of the lower roller in contact with the cladding metal, the theoretical value of the cladding metal entrance thickness h is obtained. fhF , Theoretical value of outlet thickness h 1F ', and the thickness change of the coating metal Δh is obtained fhF ;

[0153] (d3-5) It is known that the initial length of the base layer and the cladding metal is L J , L F , Δh obtained from (d3-3) and (d3-4) fhJ , Δh fhF , defined by the Poisson's ratio of the base and cladding metals The length change Δl of the base and cladding metal rolling direction can be obtained zJ , Δl zF ;

[0154] (d3-6) According to the change in rolling length and thickness of the base layer and the cladding layer, their geometric relationship is equivalent to an arc, where the radius is R 等效 , the angle is θ 等效 , the calculation process is as follows:

[0155]

[0156] You can get:

[0157] (d3-7) The quantitative expression of the rolling composite zone is obtained as follows:

[0158]

[0159] (d4) Quantify the exit semi-rolling area. According to the characteristics of the area, the double-layer metal strip is pressed against the roll surface of the lower working roll. At this time, the warping is related to the roll diameter of the lower working roll, that is, the warping of this area is approximately equal to the curvature of the lower roll, that is,

[0160] (d5) Combined with the experiment, the process parameters M1, M2, and M3 under given working conditions are obtained, and the warpage quantitative expression is established, that is, δ = M1δ 相对滑动区 +M2δ 轧制复合区 +M3δ 出口半轧区 .

[0161] like Figure 1 As shown, this embodiment also provides a warpage quantification calculation device suitable for a double-layer metal composite plate strip, comprising:

[0162] Step D1, a collection module, used to collect parameters related to metal strips and rolling mill equipment;

[0163] The metal strip related parameters include: base metal inlet thickness, base metal outlet thickness, cladding metal inlet thickness, cladding metal outlet thickness;

[0164] The relevant parameters of rolling mill equipment include: working roll radius, working roll Young's modulus and working roll Poisson's ratio.

[0165] Step D2, defining a module for defining calculation parameters of a double-layer metal strip rolling process;

[0166] The calculation parameters include: the length of the elastic deformation zone at the base metal entrance, the length of the plastic deformation zone of the base metal, the length of the elastic deformation zone at the base metal exit, the maximum rolling pressure distribution in the base metal deformation zone, the Poisson's ratio of the base metal, the influence coefficient of the material properties of the base metal, the length of the elastic deformation zone at the entrance of the cladding metal, the length of the plastic deformation zone of the cladding metal, the length of the elastic deformation zone at the exit of the cladding metal, the maximum rolling pressure distribution in the deformation zone of the cladding metal, the Poisson's ratio of the cladding metal, and the influence coefficient of the material properties of the cladding metal.

[0167] Step D3, a calculation module is used to calculate the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip;

[0168] Calculating the length of the plastic deformation zone based on the relevant parameters of the metal strip and the relevant parameters of the rolling mill equipment;

[0169] Based on the relevant parameters of the metal strip and the length of the plastic deformation zone, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone are calculated;

[0170] Based on the length of the plastic deformation zone, the length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone, the contact arc length of the upper and lower rolling deformation zones of the double-layer metal strip is calculated;

[0171] Step D4, establishing a module for establishing a quantized function of rolling pressure of the base layer and the cladding metal;

[0172] According to the contact arc length of the upper and lower rolling deformation zones of the double-layer metal strip, a rolling pressure quantification function, i.e., a rolling pressure calculation model, is established;

[0173] Step D5, a division module, used to divide the area having the characteristics of the double-layer metal strip rolling deformation area;

[0174] The division of the rolling deformation zone of double-layer metal strip includes:

[0175] According to the stress and composite state of the double-layer metal strip, the rolling deformation zone of the double-layer metal strip is divided into an entrance semi-rolling zone, a relative sliding zone, a rolling composite zone, and an exit semi-rolling zone.

[0176] Step D6: a quantification module is used to quantify the warpage of each area of ​​rolling deformation and establish a warpage model.

[0177] Calculation of the warpage of a double-layer metal strip includes:

[0178] The warping of the divided entrance semi-rolling zone, relative sliding zone, rolling compound zone, and exit semi-rolling zone is quantified in turn, a warping model is constructed, and the warping amount of the double-layer metal strip is calculated, wherein the warping amount of the entrance semi-rolling zone is zero, the warping amount of the sliding zone is obtained based on the radius of the lower roll in the flattened state, the warping amount of the rolling compound zone is obtained based on the geometric relationship, and the warping amount of the exit semi-rolling zone is obtained based on the roll diameter of the lower working roll;

[0179] The warping model is:

[0180] δ=M1δ 相对滑动区 +M2δ 轧制复合区 +M3δ 出口半轧区

[0181] Among them, M1, M2, and M3 are process parameters, δ is the warpage of the double-layer metal strip, and δ 相对滑动区 ,δ 轧制复合区 ,δ 出口半轧区 They are the warpage in the relative sliding zone, the warpage in the rolling composite zone, and the warpage in the exit semi-rolling zone.

[0182] The embodiments described above are only descriptions of the preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Without departing from the design spirit of the present invention, various modifications and improvements made to the technical solutions of the present invention by ordinary technicians in this field should all fall within the protection scope determined by the claims of the present invention.

Claims

1. A method for quantitatively calculating the warpage of a double-layer metal strip during tension-free composite rolling, characterized in that: include: Obtaining parameters related to metal strips and rolling mill equipment; Calculating the length of the plastic deformation zone based on the metal strip related parameters and the rolling mill equipment related parameters; Calculating the inlet elastic deformation zone length and the outlet elastic deformation zone length based on the metal strip related parameters and the plastic deformation zone length; Calculating the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip based on the length of the plastic deformation zone, the length of the inlet elastic deformation zone, and the length of the outlet elastic deformation zone; A rolling pressure calculation model is established according to the contact arc lengths of the upper and lower rolling deformation zones of the double-layer metal strip; The rolling deformation zone of the double-layer metal strip is divided, and the warping amount of the double-layer metal strip is calculated according to the divided deformation zones and the rolling pressure calculation model.

2. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 1 is characterized in that: The metal strip related parameters include: base metal inlet thickness, base metal outlet thickness, cladding metal inlet thickness, cladding metal outlet thickness; The rolling mill equipment related parameters include: working roll radius, working roll Young's modulus, and working roll Poisson's ratio.

3. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 1, characterized in that: Calculation of the length of the plastic deformation zone includes: Calculating the material property influence coefficient of the double-layer metal strip according to the metal strip related parameters; Calculate the maximum rolling pressure distribution in the deformation zone of a double-layer metal strip; The length of the plastic deformation zone is calculated according to the material property influence coefficient, the maximum rolling pressure distribution in the deformation zone, the metal strip related parameters and the rolling mill equipment related parameters.

4. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 3 is characterized in that: The material property influence coefficient includes the material property influence coefficient of the base metal strip and the material property influence coefficient of the cladding metal strip; The influence coefficient of the material properties of the base metal strip is: The material property influence coefficient of the cladding metal strip is: Among them, ξ 1J is the influence coefficient of the properties of the base metal material, ξ 1F is the influence coefficient of the cladding metal material properties, σ s1J is the deformation resistance of the base metal outlet, v J is the Poisson's ratio of the base metal, h 1J is the measured value of the base metal outlet thickness, E J is the Young's modulus of the base metal, h 0J is the measured value of the base metal entrance thickness, σ s1F is the deformation resistance of the cladding metal outlet, v F is the Poisson's ratio of the cladding metal, E F is the Young's modulus of the cladding metal, h 0F is the measured value of the cladding metal inlet thickness, h 1F is the measured value of the cladding metal outlet thickness; The maximum rolling pressure distribution in the deformation zone of the double-layer metal strip includes the maximum rolling pressure distribution in the deformation zone of the base metal strip and the maximum rolling pressure distribution in the deformation zone of the cladding metal strip; The maximum rolling pressure distribution in the deformation zone of the base metal strip is: The maximum rolling pressure distribution in the deformation zone of the cladding metal strip is: Among them, p Jmax is the maximum rolling pressure distribution in the deformation zone of the base metal, α is the specific gravity coefficient of the elliptical modeling, and p J is the unit rolling force between the roll and the base metal, l JZ is the contact arc length of the base metal rolling deformation zone, p Fmax is the maximum rolling pressure distribution in the deformation zone of the cladding metal, p F is the unit rolling force between the roller and the cladding metal, l FZ is the contact arc length of the rolled deformation zone of the cladding metal; The length of the plastic deformation zone includes the length of the plastic deformation zone of the base metal strip and the length of the plastic deformation zone of the cladding metal strip; The length of the plastic deformation zone of the base metal strip is: The length of the plastic deformation zone of the cladding metal strip is: Among them, l J is the length of the plastic deformation zone of the base metal strip, R is the radius of the working roll, E r is the Young's modulus of the working roll, v r is the Poisson's ratio of the working roll, l F is the length of the plastic deformation zone of the clad metal strip.

5. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 4 is characterized in that: The length of the inlet elastic deformation zone and the length of the outlet elastic deformation zone are calculated as: The length of the entrance elastic deformation zone of the base metal strip is: The length of the exit elastic deformation zone of the base metal strip is: Where Δx 0J is the length of the elastic deformation zone at the entrance of the base metal strip, σ s0J is the deformation resistance of the base metal entrance, Δx 1J is the length of the exit elastic deformation zone of the base metal strip, μ rz is the friction coefficient; The length of the entrance elastic deformation zone of the cladding metal strip is: The length of the outlet elastic deformation zone of the clad metal strip is: Where Δx 0F is the length of the elastic deformation zone at the entrance of the cladding metal strip, σ s0F is the deformation resistance of the cladding metal entrance, Δx 1F is the length of the outlet elastic deformation zone of the clad metal strip.

6. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 1, characterized in that: The rolling pressure calculation model is: P J (x)=ψ J (x)+a J (x); P F (x)=ψ F (x)+a F (x); Among them, x is the position coordinate of the double-layer metal strip composite rolling process, a 1J 、a 2J is the horizontal coordinate of the two intersection points where the rolling pressure value of the base metal strip is 0, a 1F 、a 2F is the horizontal coordinate of the two intersection points where the rolling pressure function value of the base metal strip is 0, P is the rolling force, α J (x), α F (x) is the empirical error term of rolling pressure, P J (x) is the rolling pressure function of the base metal strip, ψ J (x) is the initial rolling pressure function of the base metal strip, P F (x) is the rolling pressure function of the clad metal strip, ψ F (x) is the initial rolling pressure function of the clad metal strip.

7. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 1, characterized in that: The division of the rolling deformation zone of double-layer metal strip includes: According to the stress and composite state of the double-layer metal strip, the rolling deformation zone of the double-layer metal strip is divided into an entrance semi-rolling zone, a relative sliding zone, a rolling composite zone, and an exit semi-rolling zone.

8. The method for calculating the warpage of a double-layer metal strip during tension-free composite rolling according to claim 7 is characterized in that: Calculation of the warpage of a double-layer metal strip includes: The warping of the divided entrance semi-rolling zone, relative sliding zone, rolling compound zone, and exit semi-rolling zone is quantified in turn, a warping model is constructed, and the warping amount of the double-layer metal strip is calculated, wherein the warping amount of the entrance semi-rolling zone is zero, the warping amount of the sliding zone is obtained based on the radius of the lower roll in a flattened state, the warping amount of the rolling compound zone is obtained based on a geometric relationship, and the warping amount of the exit semi-rolling zone is obtained based on the roll diameter of the lower working roll; The warping model is: δ=M1δ 相对滑动区 +M2δ 轧制复合区 +M3d 出口半轧区 ; Among them, M1, M2, and M3 are process parameters, δ is the warpage of the double-layer metal strip, and δ 相对滑动区 , δ 轧制复合区 , δ 出口半轧区 They are the warpage in the relative sliding zone, the warpage in the rolling composite zone, and the warpage in the exit semi-rolling zone.

9. The method for calculating the warpage quantification of double-layer metal strip during tension-free composite rolling according to claim 8, characterized in that: Quantifying the warpage of the rolled composite zone includes: Determine the critical value of the rolling pressure of the double-layer metal strip, and bring it into the rolling pressure calculation model to obtain the horizontal coordinate of the critical point of the rolling composite zone; Substitute the abscissa of the critical point of the rolling composite zone and the abscissa of the intersection of the rolling pressure calculation model and the x-axis into the upper and lower roll geometric relationship models to obtain the theoretical value of the entrance thickness, the theoretical value of the exit thickness and the thickness change of the rolling composite zone; According to the Poisson's ratio of the base layer and the cladding layer metal and the thickness change of the rolling composite zone, obtaining the length change of the rolling composite zone in the rolling direction; Obtaining an equivalent arc according to the theoretical value of the entrance thickness of the rolling composite zone, the theoretical value of the exit thickness, the thickness change and the length change of the rolling direction; Based on the equivalent circular arc, the warpage amount of the rolled composite zone is obtained.

10. The method for calculating the warpage quantification of double-layer metal strip during tension-free composite rolling according to claim 8, characterized in that: The warpage of the rolled composite zone is: Among them, r 等效 is the equivalent arc radius, L J , L F is the initial length of base metal and cladding metal, Δh fhF is the thickness change of the cladding metal, Δh fhJ is the thickness change of the base metal, h 1J ' is the theoretical value of the base metal outlet thickness, v F is the Poisson's ratio of the cladding metal, v J is the Poisson's ratio of the base metal, h 1F ' is the theoretical value of the cladding metal outlet thickness.

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