Method for reducing axial force of intermediate roll in tandem cold rolling mill

Abstract

The application relates to a method for reducing the axial force of an intermediate roller in a cold continuous rolling mill, which comprises the following steps: obtaining relevant parameters in the wear process of the bearing seat lining plate of the cold continuous rolling mill; calculating the inter-roller pressure of the working roller and the intermediate roller and the inter-roller pressure of the supporting roller and the intermediate roller; calculating the unit length contact pressure of the working roller and the intermediate roller, the unit length contact pressure of the supporting roller and the intermediate roller, and the contact area of the supporting roller and the intermediate roller; calculating the unit contact pressure of the working roller and the intermediate roller and the unit contact pressure of the supporting roller and the intermediate roller; calculating the Erofeev comprehensive elastic coefficient when the rollers contact and move; the roller elastic influence coefficient; and the relative proximity of the two rough contact objects; solving the pre-displacement amount between the rollers; when the relative displacement of the two roller bodies reaches the maximum tangential deformation of the surface micro-protrusions, the sliding state is entered; calculating the decomposition points of the working roller and the intermediate roller and the intermediate roller sliding area and the viscous area; and calculating the total axial force of the intermediate roller.

Description

Technical Field

[0001] This invention belongs to the technical field of cold-rolled strip steel in the metallurgical industry, and relates to a method for reducing the axial force of intermediate rolls in cold continuous rolling mills. Background Technology

[0002] A continuous rolling mill is a piece of equipment used for the continuous rolling of metal materials, typically in the production of thin plates and strips. During cold continuous rolling, the intermediate rolls generate significant axial forces, which can cause deformation and wear of the roll shafts. This affects rolling quality and equipment lifespan, leading to unstable rolling quality, the production of substandard products, increased production costs and quality risks. Furthermore, the replacement and repair of the roll shafts increase equipment downtime and maintenance costs. Summary of the Invention

[0003] To solve the above problems, the technical solution adopted by the present invention is: a method for reducing the axial force of the intermediate roll in a cold rolling mill, comprising the following steps:

[0004] A: Obtain relevant parameters during the wear process of the bearing seat liner of the cold rolling mill;

[0005] B: Calculate the front and back tensions of the strip;

[0006] C: Calculate the total rolling pressure ;

[0007] D: Calculate the external friction coefficient ;

[0008] E: Calculate the slip factor ;

[0009] F: Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll :

[0010] G: Calculate the contact pressure per unit length between the work roll and the intermediate roll. Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller ;

[0011] H: Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller ;

[0012] I: Calculate the Ergoff comprehensive elastic coefficient when the rolls are in contact with each other. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and ;

[0013] J: When the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter the sliding state; calculate the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll. and ;

[0014] K: Calculate the total axial force of the intermediate roller;

[0015] L: Judgment: If true, return to step B and increase the tension by a factor. If not true, output the tension before and after the previous cycle. With rolling force .

[0016] Furthermore: the relevant parameters obtained during the wear process of the bearing housing liner of the cold rolling mill include: strip inlet thickness. Export thickness of strip strip width Young's modulus Poisson's ratio Initial pretension Initial post-tension Increase in front tension Increase in back tension Tension increase coefficient Deformation resistance Flattening radius The coefficient of friction between the rolls and the strip Working side bending force of intermediate roll The driving force of the intermediate roller on the side bending roller. Contact length between work roll and intermediate roll Contact length between support roller and intermediate roller Working roll diameter Intermediate roller diameter Radius r of the tip of a single micro-protrusion, micro-protrusion misalignment correction coefficient C, and roller profile parameters. , Surface roughness parameters of rolls coefficient of friction between rollers Maximum forward tension Maximum back tension Maximum slip factor and maximum axial force .

[0017] Furthermore: the calculation of pre-tension and post-tension as follows:

[0018]

[0019] In the formula: Indicates the forward tension. Indicates post-tension. Indicates the initial pretension. Indicates the initial post-tension. Indicates the increase in pretension. This indicates the increase in back tension. =0, 1, 2, 3...20, when At that time, the tension reaches its maximum value. , .

[0020] Further: the calculation of total rolling pressure The following formula is used:

[0021]

[0022] In the formula: —Absolute lane pressure reduction ;

[0023] —Equivalent tension influence coefficient

[0024] — Flattening radius.

[0025] The calculation of the external friction coefficient The formula is as follows:

[0026]

[0027] In the formula: Indicates the pass reduction rate. ;

[0028] Furthermore: the calculation of the slippage factor That is, the parameter that characterizes the probability of slipping:

[0029]

[0030] In the formula: —Work roll flattening radius;

[0031] —Absolute lane pressure reduction ;

[0032] —Total rolling pressure;

[0033] —Coefficient of friction;

[0034] Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll The formula is as follows.

[0035]

[0036] Further: the calculation of the contact pressure per unit length between the work roll and the intermediate roll Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller The formula is as follows:

[0037]

[0038] Where: the diameter of the work roll Diameter of the intermediate roller Diameter of the support roller The contact length between the work roll and the intermediate roll is The contact length between the support roller and the intermediate roller is ;

[0039] Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller as follows.

[0040]

[0041] Furthermore: the calculated Ergoff comprehensive elastic coefficient during the contact motion of the rolls. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and The formula is as follows:

[0042]

[0043] Where: Young's modulus E; Poisson's ratio Radius r of the tip of a single micro-protrusion; Micro-protrusion misalignment correction coefficient C; Roll profile parameters , ; Roll surface roughness parameters ; Coefficient of friction between rollers.

[0044] Furthermore, when the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter a sliding state; the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll are calculated. and :

[0045]

[0046] The calculation of the total axial force of the intermediate roller as follows:

[0047]

[0048] Where: axial force generated between the work roll and the intermediate roll ; Axial force generated between the support roller and the intermediate roller .

[0049] The present invention provides a method for reducing the axial force of intermediate rolls in a cold rolling mill, which has the following advantages:

[0050] Reducing the axial force on the intermediate rolls of a cold rolling mill can decrease roll deformation and wear, extend roll life, lower equipment maintenance costs, and improve rolling accuracy, thus meeting customer requirements for product dimensions and surface quality. Lower axial force also reduces equipment downtime, increasing production efficiency and equipment utilization. Lower axial force improves the stability of rolling quality, reduces the generation of defective products, and enhances both production efficiency and product quality. The background and significance of reducing the axial force on the intermediate rolls of a cold rolling mill lie in improving equipment stability, rolling quality, and production efficiency, reducing maintenance costs and quality risks, and increasing equipment utilization and economic benefits. Attached Figure Description

[0051] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0052] Figure 1 This is a flowchart of the method. Detailed Implementation

[0053] It should be noted that, unless otherwise specified, the embodiments and features in the embodiments of the present invention can be combined with each other. The present invention will be described in detail below with reference to the accompanying drawings and embodiments.

[0054] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The following description of at least one exemplary embodiment is merely illustrative and is in no way intended to limit the present invention or its application or use. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0055] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the scope of exemplary embodiments according to the invention. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms "comprising" and / or "including" are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0056] Unless otherwise specifically stated, the relative arrangement, numerical expressions, and values ​​of the components and steps described in these embodiments do not limit the scope of the invention. It should also be understood that, for ease of description, the dimensions of the various parts shown in the drawings are not drawn to actual scale. Techniques, methods, and devices known to those skilled in the art may not be discussed in detail, but where appropriate, such techniques, methods, and devices should be considered part of the specification. In all examples shown and discussed herein, any specific values ​​should be interpreted as merely exemplary and not as limitations. Therefore, other examples of exemplary embodiments may have different values. It should be noted that similar reference numerals and letters in the following figures denote similar items; therefore, once an item is defined in one figure, it need not be further discussed in subsequent figures.

[0057] In the description of this invention, it should be understood that the orientation or positional relationship indicated by directional terms such as "front, back, up, down, left, right", "horizontal, vertical, horizontal" and "top, bottom" is generally based on the orientation or positional relationship shown in the accompanying drawings, and is only for the convenience of describing this invention and simplifying the description. Unless otherwise stated, these directional terms do not indicate or imply that the device or element referred to must have a specific orientation or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation on the scope of protection of this invention. The directional terms "inner" and "outer" refer to the inner and outer contours relative to the outline of each component itself.

[0058] For ease of description, spatial relative terms such as "above," "over," "on the upper surface of," "above," etc., are used herein to describe the spatial positional relationship of a device or feature as shown in the figures to other devices or features. It should be understood that spatial relative terms are intended to encompass different orientations in use or operation besides the orientation of the device as described in the figures. For example, if the device in the figures is inverted, a device described as "above" or "above" other devices or structures would subsequently be positioned as "below" or "under" other devices or structures. Thus, the exemplary term "above" can include both "above" and "below." The device may also be positioned in other different ways (rotated 90 degrees or in other orientations), and the spatial relative descriptions used herein will be interpreted accordingly.

[0059] Furthermore, it should be noted that the use of terms such as "first" and "second" to define components is merely for the purpose of distinguishing the corresponding components. Unless otherwise stated, the above terms have no special meaning and therefore should not be construed as limiting the scope of protection of this invention.

[0060] Figure 1 This is a flowchart of the method;

[0061] A method for reducing the axial force on the intermediate rolls of a cold rolling mill includes the following steps:

[0062] A: Obtain relevant parameters during the wear process of the bearing seat liner of the cold rolling mill;

[0063] B: Calculate the front and back tensions of the strip;

[0064] C: Calculate the total rolling pressure ;

[0065] D: Calculate the external friction coefficient ;

[0066] E: Calculate the slip factor ;

[0067] F: Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll :

[0068] G: Calculate the contact pressure per unit length between the work roll and the intermediate roll. Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller ;

[0069] H: Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller ;

[0070] I: Calculate the Ergoff comprehensive elastic coefficient when the rolls are in contact with each other. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and ;

[0071] J: When the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter the sliding state; calculate the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll. and ;

[0072] K: Calculate the total axial force of the intermediate roller;

[0073] L: Judgment: If true, return to step B and increase the tension by a factor. If not true, output the tension before and after the previous cycle. With rolling force .

[0074] Steps A / B / C / D / E / F / G / H / I / G / L are executed sequentially;

[0075] Furthermore: the relevant parameters obtained during the wear process of the bearing housing liner of the cold rolling mill include: strip inlet thickness. Export thickness of strip strip width Young's modulus Poisson's ratio Initial pretension Initial post-tension Increase in front tension Increase in back tension Tension increase coefficient Deformation resistance Flattening radius The coefficient of friction between the rolls and the strip Working side bending force of intermediate roll The driving force of the intermediate roller on the side bending roller. Contact length between work roll and intermediate roll Contact length between support roller and intermediate roller Working roll diameter Intermediate roller diameter Radius r of the tip of a single micro-protrusion, micro-protrusion misalignment correction coefficient C, and roller profile parameters. , Surface roughness parameters of rolls coefficient of friction between rollers Maximum forward tension Maximum back tension Maximum slip factor and maximum axial force .

[0076] Furthermore: the calculation of pre-tension and post-tension as follows:

[0077]

[0078] In the formula: Indicates the forward tension. Indicates post-tension. Indicates the initial pretension. Indicates the initial post-tension. Indicates the increase in pretension. This indicates the increase in back tension. =0, 1, 2, 3...20, when At that time, the tension reaches its maximum value. , .

[0079] Further: the calculation of total rolling pressure The following formula is used:

[0080]

[0081] In the formula: —Absolute lane pressure reduction ;

[0082] —Equivalent tension influence coefficient

[0083] — Flattening radius.

[0084] The calculation of the external friction coefficient The formula is as follows:

[0085]

[0086] In the formula: Indicates the pass reduction rate. ;

[0087] Furthermore: the calculation of the slippage factor That is, the parameter that characterizes the probability of slipping:

[0088]

[0089] In the formula: —Work roll flattening radius;

[0090] —Absolute lane pressure reduction ;

[0091] —Total rolling pressure;

[0092] —Coefficient of friction;

[0093] Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll The formula is as follows.

[0094]

[0095] Further: the calculation of the contact pressure per unit length between the work roll and the intermediate roll Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller The formula is as follows:

[0096]

[0097] Where: the diameter of the work roll Diameter of the intermediate roller Diameter of the support roller The contact length between the work roll and the intermediate roll is The contact length between the support roller and the intermediate roller is ;

[0098] Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller as follows.

[0099]

[0100] Furthermore: the calculated Ergoff comprehensive elastic coefficient during the contact motion of the rolls. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and The formula is as follows:

[0101]

[0102] Where: Young's modulus E; Poisson's ratio Radius r of the tip of a single micro-protrusion; Micro-protrusion misalignment correction coefficient C; Roll profile parameters , ; Roll surface roughness parameters ; Coefficient of friction between rollers.

[0103] Furthermore, when the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter a sliding state; the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll are calculated. and :

[0104]

[0105] The calculation of the total axial force of the intermediate roller as follows:

[0106]

[0107] Where: axial force generated between the work roll and the intermediate roll ; Axial force generated between the support roller and the intermediate roller .

[0108] Example

[0109] The application of the method for reducing grinding force fluctuations in CVC rolls described in this invention will be further explained in detail below with reference to the accompanying drawings and embodiments.

[0110] Example 1:

[0111] First, as shown in step (A), collect the relevant parameters during the wear process of the bearing housing liner of the cold rolling mill: strip inlet thickness 3.020 mm, strip outlet thickness 2.366 mm, strip width 1117 mm, Young's modulus 210000 MPa, Poisson's ratio 0.3, initial pre-tension 124 MPa, initial post-tension 58 MPa, flattening radius 349.8 mm. mm, front tension increase 6.2MPa, rear tension increase 2.9MPa, tension increase coefficient 0, deformation resistance 760MPa, friction coefficient between roll and strip 0.05, working side bending force of intermediate roll 500kN, drive side bending force of intermediate roll 500kN, contact length between work roll and intermediate roll 1642.5mm, contact length between support roll and intermediate roll 1642.5mm, work roll diameter 430mm, intermediate roll diameter 510mm, radius of single micro-protrusion tip 0.008mm, micro-protrusion misalignment correction coefficient 0.98, roll profile curve parameter 0.6, 2, roll surface roughness parameter 0.0094, inter-roll friction coefficient 0.08, maximum front tension 250 MPa, maximum rear tension 120 MPa, maximum slippage factor 0.6, maximum axial force .

[0112] Then calculate the tension before and after according to step (B). :

[0113]

[0114] Solving for =124 MPa =58 MPa;

[0115] As shown in step (C), the total rolling pressure is given. Model:

[0116]

[0117] Then calculate the external friction coefficient according to step (D). :

[0118]

[0119] Solving =1.059;

[0120] Will Substitute the total rolling pressure model, and then the total rolling pressure =11701.4kN;

[0121] Then, as in step (E), the slippage factor is calculated. :

[0122]

[0123] Solving =0.16;

[0124] As shown in step (F), calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll :

[0125]

[0126] Solving =11701.4 kN =12701.4 kN;

[0127] Calculate the contact pressure per unit length between the work roll and the intermediate roll according to step (G). Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller :

[0128]

[0129] Solving =7.12 kN / mm =7.73 kN / mm =3.04 mm =4.03mm;

[0130] As shown in step (H), calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller :

[0131]

[0132] Solve for the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller expression

[0133] As shown in step (I), calculate the Ergoffer comprehensive elastic coefficient when the rolls are in contact with each other. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Finally, the pre-displacement between the rolls was calculated. and :

[0134]

[0135] Solve for the pre-displacement between the rolls =0.0016、 =0.0013;

[0136] According to step (J), calculate the decomposition points of the working roll and the intermediate roll in the sliding and sticky zones. and :

[0137]

[0138] Solve =0.12, =0.09;

[0139] As in step (K), calculate the total axial force of the intermediate roller. :

[0140]

[0141] Calculate the axial force generated between the work roll and the intermediate roll respectively. The axial force generated between the support roller and the intermediate roller is 272.9 kN. The value is 241.7 kN; sum and solve for the total axial force of the intermediate roller. =514.6 kN;

[0142] judge: =124Mpa< , =58Mpa< , , ; If true, return to step (B) and set k=1;

[0143] When k=19, =248Mpa< , =116Mpa< , , ; If true, then the output is the tension before and after when k=19. =248 MPa =116 MPa and rolling force =10152.7kN, at this time the total axial force F of the intermediate roller is 412.3kN, the axial force before adjustment is 514.6 kN, the axial force is significantly reduced.

[0144] Example 2:

[0145] First, as shown in step (A), collect relevant parameters during the wear process of the bearing housing liner of the cold rolling mill: strip inlet thickness 2.816 mm, strip outlet thickness 2.188 mm, strip width 904 mm, Young's modulus 210000 MPa, Poisson's ratio 0.3, initial pretension 164 MPa. Initial back tension 78MPa, flattening radius 358.6mm, front tension increase 8.2MPa, back tension increase 3.9MPa, tension increase coefficient 0, deformation resistance 762MPa, friction coefficient between roll and strip 0.05, working side bending force of intermediate roll 500kN, driving side bending force of intermediate roll 500kN, contact length between work roll and intermediate roll 1642.5mm, contact length between support roll and intermediate roll 1642.5mm, work roll diameter 430mm, intermediate roll diameter 510mm, radius of single micro-protrusion tip 0.008mm, micro-protrusion misalignment correction coefficient 0.98, roll profile curve parameter 0.6, roll surface roughness parameter 0.0094, inter-roll friction coefficient 0.08, maximum front tension 330 MPa, maximum back tension 160 MPa, maximum slippage factor 0.6, maximum axial force 800kN.

[0146] Then calculate the tension before and after according to step (B). :

[0147]

[0148] Solving for =164 MPa =78 MPa;

[0149] As shown in step (C), the total rolling pressure is given. Model:

[0150]

[0151] Then calculate the external friction coefficient according to step (D). :

[0152]

[0153] Solving =1.075;

[0154] Will Substitute the total rolling pressure model, and then the total rolling pressure =9464.0kN;

[0155] Then, as in step (E), the slippage factor is calculated. :

[0156]

[0157] Solving =0.143;

[0158] As shown in step (F), calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll :

[0159]

[0160] Solving =9464.0 kN =10464.0 kN;

[0161] Calculate the contact pressure per unit length between the work roll and the intermediate roll according to step (G). Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller :

[0162]

[0163] Solving =5.76 kN / mm =6.48 kN / mm =2.81 mm =3.72mm;

[0164] As shown in step (H), calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller :

[0165]

[0166] Solve for the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller expression

[0167] As shown in step (I), calculate the Ergoffer comprehensive elastic coefficient when the rolls are in contact with each other. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Finally, the pre-displacement between the rolls was calculated. and :

[0168]

[0169] Solve for the pre-displacement between the rolls =0.0016、 =0.0013;

[0170] According to step (J), calculate the decomposition points of the working roll and the intermediate roll in the sliding and sticky zones. and :

[0171]

[0172] Solve =0.12, =0.09;

[0173] As in step (K), calculate the total axial force of the intermediate roller. :

[0174]

[0175] Calculate the axial force generated between the work roll and the intermediate roll respectively. The axial force generated between the support roller and the intermediate roller is 241.5 kN. The value is 213.7 kN; sum and solve for the total axial force of the intermediate roller. =455.2kN;

[0176] judge: =164Mpa< , =78Mpa< , , ; If true, return to step (B) and set k=1;

[0177] Finally, when k=13, =270.6Mpa< , =128.7 MPa , , ; If this condition is not met, then output the tension before and after when k=12. =262.4 MPa =124.8 MPa and rolling force =8376.2kN, at this time the total axial force F of the intermediate roller is 371.3kN, the axial force before adjustment is 455.2kN, the axial force is significantly reduced.

[0178] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for reducing the axial force on the intermediate rolls of a cold rolling mill, characterized in that: Includes the following steps: A: Obtain relevant parameters during the wear process of the bearing seat liner of the cold rolling mill; The relevant parameters obtained during the wear process of the cold rolling mill bearing seat liner include: strip entry thickness. Export thickness of strip strip width Young's modulus Poisson's ratio Initial pretension Initial post-tension Increase in front tension Increase in back tension Tension increase coefficient Deformation resistance Flattening radius The coefficient of friction between the rolls and the strip Working side bending force of intermediate roll The driving force of the intermediate roller on the side bending roller. Contact length between work roll and intermediate roll Contact length between support roller and intermediate roller Working roll diameter Intermediate roller diameter Radius r of the tip of a single micro-protrusion, micro-protrusion misalignment correction coefficient C, and roller profile parameters. , Surface roughness parameters of rolls coefficient of friction between rollers Maximum forward tension Maximum back tension Maximum slip factor and maximum axial force ; B: Calculate the front and back tensions of the strip; Calculate the front tension and back tension as follows: In the formula: Indicates the forward tension. Indicates post-tension. Indicates the initial pretension. Indicates the initial post-tension. Indicates the increase in front tension. This indicates the increase in back tension. =0, 1, 2, 3...20, when At that time, the tension reaches its maximum value. , ; C: Calculate the total rolling pressure ; The calculation of total rolling pressure The following formula is used: In the formula: —Absolute pressure reduction per pass ; —Equivalent tension influence coefficient — Flattening radius; Calculate the external friction coefficient The formula is as follows: In the formula: Indicates the pass reduction rate. ; D: Calculate the external friction coefficient ; E: Calculate the slip factor ; The calculation of slip factor That is, the parameter that characterizes the probability of slippage occurring: In the formula: —Work roll flattening radius; —Absolute pressure reduction per pass ; —Total rolling pressure; —Coefficient of friction; Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll The formula is as follows: F: Calculate the inter-roll pressure between the work roll and the intermediate roll. inter-roll pressure between support roll and intermediate roll : G: Calculate the contact pressure per unit length between the work roll and the intermediate roll. Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller ; The calculation of the contact pressure per unit length between the work roll and the intermediate roll. Contact pressure per unit length between the support roller and the intermediate roller Contact area between work roll and intermediate roll Contact area between support roller and intermediate roller The formula is as follows: Where: the diameter of the work roll Diameter of the intermediate roller Diameter of the support roller The contact length between the work roll and the intermediate roll is The contact length between the support roller and the intermediate roller is ; Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller as follows: H: Calculate the unit contact pressure between the work roll and the intermediate roll. Unit contact pressure between support roller and intermediate roller ; I: Calculate the Ergoff comprehensive elastic coefficient when the rolls are in contact with each other. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and ; The calculation of the Ergoff comprehensive elastic coefficient during the contact motion of the rolls. Roll elasticity influence coefficient and the relative proximity of two rough contacting objects Solve for the pre-displacement between the rolls. and The formula is as follows: Where: Young's modulus E; Poisson's ratio Radius r of the tip of a single micro-protrusion; Micro-protrusion misalignment correction coefficient C; Roll profile parameters , ; Roll surface roughness parameters Coefficient of friction between rollers; It is the relative proximity between the work roll and the intermediate roll. It is the relative proximity between the intermediate roller and the support roller; J: When the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter the sliding state; calculate the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll. and ; When the relative displacement of the two roll bodies reaches the maximum tangential deformation of the surface micro-protrusions, they begin to enter a sliding state; calculate the decomposition points of the sliding and viscous zones of the work roll and the intermediate roll. and : Calculate the total axial force of the intermediate roll as follows: Where: axial force generated between the work roll and the intermediate roll ; Axial force generated between the support roller and the intermediate roller ; K: Calculate the total axial force of the intermediate roller; L: Judgment: If true, return to step B and increase the tension coefficient. If not, output the tension before and after the previous cycle. With rolling force .

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