A method, device and equipment for calculating a roll gap of a longitudinal wave rolling process

Abstract

The application discloses a roll gap calculation method, device and equipment for a longitudinal wave rolling process, and relates to the rolling technical field. The roll gap calculation method for the longitudinal wave rolling process comprises the following steps: based on the rolling parameters of a longitudinal wave rolling equipment, the position function of an arbitrary position on the surface of a plastic deformation zone of a wave trough and a wave waist of a roll, the plastic deformation zone length corresponding to the wave trough and the wave waist, the different speed ratios of an upper roll and a lower roll at the wave trough and the wave waist, the velocity field and the strain rate field of the wave trough and the wave waist in the plastic deformation zone of the roll are determined respectively; in combination with the position function, the plastic deformation zone length, the different speed ratios, the velocity field and the strain rate field, the first rolling force corresponding to the wave trough in the plastic deformation zone and the second rolling force of the wave waist in the plastic deformation zone are determined by adopting the total power functional minimization mode; in combination with the first rolling force and the second rolling force, the total rolling force of the plastic deformation zone is determined; and the roll gap size of the longitudinal wave rolling equipment is determined according to the total rolling force.

Description

Technical Field

[0001] This invention relates to the field of rolling technology, and in particular to a method, apparatus and equipment for calculating roll gap in longitudinal wave rolling process. Background Technology

[0002] In the modern steel industry, continuously improving the comprehensive performance and quality consistency of rolled metal products, and deeply optimizing their manufacturing processes and engineering applications, has become a core driving force for promoting efficient and lightweight structural design. Steel plates have different standards for resistance to bending in different applications. Using flat steel plates to withstand high bending moments inevitably leads to steel waste. Longitudinal wave rolling technology can efficiently produce high-quality corrugated steel plates, which combine smooth surface, high dimensional accuracy, and excellent bending resistance. It is an ideal way to promote the industrial application of corrugated steel components and is of great significance for promoting the development of green, efficient, and sustainable steel structures.

[0003] Chinese patent CN109909303B discloses a method for suppressing edge cracking in magnesium alloy sheets through transverse wrinkling. This method uses corrugated rolls to roll the metal sheet, which thoroughly breaks down the grains of the magnesium alloy sheet, effectively avoiding the extremely strong basal texture caused by large deformation during rolling and improving the subsequent rollability of the sheet. However, the existing method lacks a roll gap calculation model different from traditional rolling, making it impossible to guarantee precise control of the sheet's surface dimensions, thus affecting the final sheet's structural performance and load-bearing capacity. Therefore, there is an urgent need to develop a roll gap calculation method for longitudinal corrugated material rolling processes to achieve precise control and process optimization in the longitudinal corrugated metal sheet rolling process. Summary of the Invention

[0004] The purpose of this invention is to provide a method, apparatus, and equipment for calculating the roll gap in the longitudinal wave rolling process, so as to realize the roll gap calculation in the longitudinal wave rolling process.

[0005] To achieve the above objectives, the present invention provides the following technical solution:

[0006] A method for calculating the roll gap in a longitudinal wave rolling process includes: based on the rolling parameters of the longitudinal wave rolling equipment, determining the position function at any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the velocity ratio of the upper and lower rolls at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone; combining the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field and the strain rate field, and using the total power functional minimization method, determining the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone; combining the first rolling force and the second rolling force, determining the total rolling force in the plastic deformation zone; and determining the roll gap size of the longitudinal wave rolling equipment based on the total rolling force.

[0007] In one optional embodiment of this application, the determination of the position functions at arbitrary positions on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the velocity ratio of the upper and lower rolls at the trough and waist, and the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone based on the rolling parameters of the longitudinal wave rolling equipment includes: establishing a rectangular coordinate system with the midpoint of the line connecting the upper and lower rolls as the origin and the length direction of the rolled workpiece as the x-axis; and, based on the rectangular coordinate system, determining the position functions at arbitrary positions on the surface of the plastic deformation zone at the trough and waist of the roll, in combination with the exit thickness of the plastic deformation zone, the average radius of the upper and lower rolls, and the amplitude of the ripples on the roll surface. Based on the inlet thickness of the plastic deformation zone, the outlet thickness, the average radius of the upper and lower rolls, and the amplitude of the surface ripples of the rolls, the length of the plastic deformation zone corresponding to the waist and trough of the wave is determined. Based on the outlet thickness of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the rolls, and the neutral angle of the upper and lower rolls, the velocity ratio of the upper and lower rolls at the trough and waist of the wave is determined. Based on the rectangular coordinate system, combined with the outlet velocity of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the rolls, and the outlet thickness of the plastic deformation zone, the velocity field and strain rate field of the trough and waist of the rolls in the plastic deformation zone are determined.

[0008] In one optional embodiment of this application, the position function of any position on the surface of the plastic deformation zone at the trough of the roll is expressed by the following formula:

[0009] ;

[0010] ;

[0011] The position function at any point on the surface of the plastic deformation zone at the waist of the roll is expressed by the following formula:

[0012] ;

[0013] ;

[0014] in, This refers to any position on the upper surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the upper surface of the rolling deformation zone at the waist of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; This indicates the outlet thickness of the plastic deformation zone; This indicates the amplitude of the ripples on the surface of the roll; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. R represents the average radius of the upper roll and the lower roll; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; .

[0015] In one optional embodiment of this application, the length of the plastic deformation zone corresponding to the trough is expressed by the following formula:

[0016] ;

[0017] The length of the plastic deformation zone corresponding to the waist of the wave is expressed by the following formula:

[0018] ;

[0019] in, This indicates the length of the plastic deformation zone corresponding to the trough; This indicates the length of the plastic deformation zone corresponding to the waist of the wave; Indicates the entrance thickness of the plastic deformation zone, This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper and lower rolls.

[0020] In one optional embodiment of this application, the speed ratio of the upper roll and the lower roll at the trough is expressed by the following formula:

[0021] ;

[0022] The speed ratio of the upper roll and the lower roll at the waist of the wave is expressed by the following formula:

[0023] ;

[0024] in, This indicates the speed ratio of the upper roll and the lower roll at the trough; This indicates the speed ratio of the upper roll and the lower roll at the waist of the wave; This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper roll and the lower roll; , These are the upper and lower neutral angles at the troughs of the roll, respectively. , These are the upper and lower neutral angles at the waist of the roll, respectively. The upper and lower neutral angles are two constants that vary with rolling process parameters. , , , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone at the trough during rolling and the center of the upper roll, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the trough during rolling and the center of the lower roll, and the line connecting the centers of the rolls. It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; ; This indicates the amplitude of the ripples on the surface of the roll.

[0025] In one optional embodiment of this application, the velocity field and strain rate field of the trough of the roll in the plastic deformation zone are represented by the following formula:

[0026] ;

[0027] ;

[0028] ;

[0029] ;

[0030] ;

[0031] ;

[0032] in, , , The velocity field that constitutes the trough of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; This indicates the velocity at the outlet of the plastic deformation zone; Indicates the entrance thickness of the plastic deformation zone, This indicates the outlet thickness of the plastic deformation zone; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the amplitude of the ripples on the surface of the roll; , , The strain rate field that constitutes the trough of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width Strain rate component in the direction;

[0033] The velocity field and speed field of the waist of the roll in the plastic deformation zone are expressed by the following formula:

[0034] ;

[0035] ;

[0036] ;

[0037] ;

[0038] ;

[0039] ;

[0040] in, , , The velocity field that constitutes the waist of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; , , The strain rate field that constitutes the waist of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width Strain rate component in the direction; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; , The average radius of the upper roll and the lower roll.

[0041] In one alternative embodiment of this application, the first rolling force is determined by the following formula:

[0042] ;

[0043] ;

[0044] ;

[0045] ;

[0046] ;

[0047] ;

[0048] in, , , These represent the internal deformation power, shear power, and friction power at the trough of the roll, respectively. , , These represent the internal deformation power, shear power, and friction power at the trough of the roll when the total power functional is at its minimum; This represents the first rolling force; The deformation resistance of the rolled piece; This indicates the velocity at the outlet of the plastic deformation zone; This indicates the outlet thickness of the plastic deformation zone; This indicates the length of the plastic deformation zone corresponding to the trough; This refers to any position on the upper surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; , The length of the rolled piece ,thickness Strain rate component in the direction; The friction factor between the workpiece and the roll; , These represent the lengths of the rolled pieces. ,thickness The velocity component in the direction; The angular velocity of the rolling mill roll; This is the lever arm coefficient; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. A represents the amplitude of the ripples on the surface of the roll; The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls. The angle between the line connecting any position on the lower surface of the workpiece and the center of the lower roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls; , These are the upper neutral angle and the lower neutral angle, respectively, which are two constants that vary with rolling process parameters. , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone and the center of the upper roll during rolling, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone and the center of the lower roll during rolling, and the line connecting the centers of the rolls.

[0049] The second rolling force is determined by the following formula:

[0050] ;

[0051] ;

[0052] ;

[0053] ;

[0054] ;

[0055] ;

[0056] in, , , This represents the internal deformation power, shear power, and friction power at the waist of the roll. , , These represent the internal deformation power, shear power, and friction power at the waist of the roll when the total power functional is at its minimum; This indicates the length of the plastic deformation zone corresponding to the waist of the wave; , These are the strain rate components along the length x and thickness y directions of the rolled piece at the waist of the wave, respectively. , These represent the velocity components in the x-direction of the workpiece length and the y-direction of the thickness at the waist of the wave; This indicates the second rolling force; , These are the upper and lower neutral angles at the waist of the roll, respectively. , ; It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll to the line connecting the centers of the rolls in the plastic deformation zone corresponding to the roll waist is given. 2 is the angle between the line connecting any position on the lower surface of the workpiece and the center of the lower roll in the plastic deformation zone corresponding to the roll waist, and the line connecting the center of the roll.

[0057] In one optional embodiment of this application, determining the roll gap size of the longitudinal wave rolling mill based on the total rolling force is achieved by the following formula:

[0058] ;

[0059] ;

[0060] in, The total rolling force is represented by K; K represents the stiffness. This indicates the outlet thickness of the plastic deformation zone; This represents the first rolling force; This indicates the second rolling force; B represents the size of the roll gap; B represents the entrance width of the plastic deformation zone.

[0061] Compared with existing technologies, this invention provides a roll gap calculation method for longitudinal wave rolling processes. The calculation of rolling force is divided into two parts: the trough and the waist. By combining the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the velocity ratio of the upper and lower rolls at the trough and waist, and the velocity field and strain rate field of the trough and waist in the plastic deformation zone, the rolling force in the trough and waist of the roll is determined, thereby determining the total rolling force in the plastic deformation zone, and finally determining the roll gap size based on the total rolling force. This achieves the calculation of roll gap during longitudinal wave rolling.

[0062] The present invention also provides a roll gap calculation device for a longitudinal wave rolling process, comprising:

[0063] The partitioning processing unit is used to determine, based on the rolling parameters of the longitudinal wave rolling equipment, the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the different speed ratio of the upper and lower rolls at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone.

[0064] The segmented rolling force calculation unit is used to combine the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field, and the strain rate field, and to determine the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone by using the total power functional minimization method.

[0065] The total rolling force calculation unit is used to determine the total rolling force of the plastic deformation zone by combining the first rolling force and the second rolling force.

[0066] A roll gap calculation unit is used to determine the roll gap size of the longitudinal wave rolling equipment based on the total rolling force.

[0067] Compared with the prior art, the beneficial effects of the roll gap calculation device for longitudinal wave rolling process provided by the present invention are the same as those of the roll gap calculation method for longitudinal wave rolling process described in the above technical solution, and will not be repeated here.

[0068] The present invention also provides an electronic device, comprising: a processor; a memory for storing executable instructions of the processor; the processor being configured to execute the roll gap calculation method for the longitudinal wave rolling process described above by running the instructions in the memory.

[0069] Compared with the prior art, the beneficial effects of the electronic device provided by the present invention are the same as those of the roll gap calculation method for the longitudinal wave rolling process described in the above technical solution, and will not be repeated here. Attached Figure Description

[0070] The accompanying drawings, which are provided to further illustrate the invention and constitute a part of this invention, are illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an undue limitation of the invention.

[0071] Figure 1 A flowchart illustrating the roll gap calculation method for the longitudinal wave rolling process provided in this application embodiment.

[0072] Figure 2 This is a schematic diagram of longitudinal wave rolling of metal sheet provided in an embodiment of this application.

[0073] Figure 3 A schematic diagram of the roll profile of the longitudinal wave rolling equipment provided in the embodiments of this application.

[0074] Figure 4 This is a schematic diagram of the cross-section of the rolls during the longitudinal wave rolling process provided in an embodiment of this application.

[0075] Figure 5 A schematic diagram showing the comparison between the calculated and measured values ​​of the total rolling force provided in the embodiments of this application.

[0076] Figure 6 A structural diagram of the roll gap calculation device for the longitudinal wave rolling process provided in the embodiments of this application.

[0077] Figure 7 This is a schematic diagram of an electronic device structure provided in an embodiment of this application. Detailed Implementation

[0078] To facilitate a clear description of the technical solutions in the embodiments of the present invention, the terms "first" and "second" are used to distinguish identical or similar items with essentially the same function and effect. For example, the first threshold and the second threshold are merely used to distinguish different thresholds and do not limit their order. Those skilled in the art will understand that the terms "first" and "second" do not limit the quantity or execution order, and that the terms "first" and "second" are not necessarily different.

[0079] It should be noted that in this invention, the terms "exemplary" or "for example" are used to indicate examples, illustrations, or descriptions. Any embodiment or design described as "exemplary" or "for example" in this invention should not be construed as being more preferred or advantageous than other embodiments or designs. Specifically, the use of terms such as "exemplary" or "for example" is intended to present the relevant concepts in a concrete manner.

[0080] In this invention, "at least one" refers to one or more, and "more than one" refers to two or more. "And / or" describes the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A alone, A and B simultaneously, or B alone, where A and B can be singular or plural. The character " / " generally indicates that the preceding and following related objects are in an "or" relationship. "At least one of the following" or similar expressions refer to any combination of these items, including any combination of single or plural items. For example, at least one of a, b, or c can represent: a, b, c, a combination of a and b, a combination of a and c, a combination of b and c, or a, b, and c, where a, b, and c can be single or multiple.

[0081] This application provides a method, apparatus, and equipment for calculating the roll gap in a longitudinal wave rolling process, so as to achieve precise control and process optimization of the longitudinal wave metal rolling process. These will be described one by one in the following embodiments.

[0082] This application first provides a method for calculating the roll gap in a longitudinal wave rolling process. Please refer to... Figure 1 , Figure 1 A flowchart illustrating the roll gap calculation method for the longitudinal wave rolling process provided in this application embodiment.

[0083] like Figure 1 As shown, the roll gap calculation method for the longitudinal wave rolling process includes the following S101 to S104.

[0084] S101, based on the rolling parameters of the longitudinal wave rolling equipment, determine the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the different speed ratio of the upper roll and the lower roll at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone.

[0085] First, to facilitate understanding of the roll gap calculation method provided in this application, the following is combined with... Figure 2 and Figure 3 The longitudinal wave rolling process, as well as the wave waist and wave trough, are explained.

[0086] Please refer to Figure 2 , Figure 2 This is a schematic diagram of longitudinal wave rolling of metal sheet provided in an embodiment of this application.

[0087] like Figure 2 As shown, the roll surface of the longitudinal wave rolling equipment is wavy along the axial direction of the roll. Longitudinal wave rolling is the process of directly rolling longitudinally corrugated metal plates through wavy rolls along the rolling direction.

[0088] For further details, please refer to... Figure 3 , Figure 3 A schematic diagram of the roll profile of the longitudinal wave rolling equipment provided in the embodiments of this application.

[0089] like Figure 3 As shown, in practical applications, the roll profile curves of the upper and lower rolls on a longitudinal wave rolling mill are periodic. If we assume the amplitude is A and the average radius of the upper and lower rolls is R, then the radius corresponding to the trough of the roll is R+A or RA. The radius corresponding to the waist of the wave is R.

[0090] The purpose of S101 is to obtain, for the waist and trough, the position function of any position on the surface of the plastic deformation zone at the waist and trough, the length of the plastic deformation zone corresponding to the waist and trough, the speed ratio of the upper and lower rolls at the waist and trough, the velocity field and strain rate field of the roll at the trough and waist of the plastic deformation zone, so as to provide the necessary parameter conditions for subsequent calculation of the total rolling force in the plastic rolling zone.

[0091] Specifically, S101 includes the following S11 to S15.

[0092] S11, a rectangular coordinate system is established with the midpoint of the line connecting the upper roll and the lower roll as the origin and the length direction of the rolled workpiece as the x-axis.

[0093] S12, based on the rectangular coordinate system, and combined with the exit thickness of the plastic deformation zone, the average radius of the upper and lower rolls, and the amplitude of the ripples on the roll surface, determine the position functions of any position on the surface of the plastic deformation zone at the trough and waist of the roll, respectively.

[0094] S13. Determine the length of the plastic deformation zone corresponding to the waist and trough based on the inlet thickness of the plastic deformation zone, the outlet thickness, the average radius of the upper and lower rolls, and the amplitude of the ripples on the roll surface.

[0095] S14. Based on the exit thickness of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the rolls, and the neutral angle of the upper and lower rolls, determine the velocity ratio of the upper and lower rolls at the trough and waist of the wave.

[0096] S15, based on the rectangular coordinate system, and combining the exit velocity of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the roll, and the exit thickness of the plastic deformation zone, determine the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone.

[0097] The position function of the surface of the plastic deformation zone at the trough and waist of the wave, the length of the plastic deformation zone, the ratio of different speeds, the velocity field, and the speed field.

[0098] To better understand the calculation process and required rolling parameters described above, please refer to [link / reference]. Figure 4 , Figure 4 This is a schematic diagram of the cross-section of the rolls during the longitudinal wave rolling process provided in an embodiment of this application.

[0099] like Figure 4 As shown, Figure 4 It includes the upper roll, the lower roll, and the rolled piece. Figure 4 The coordinate system in the figure is based on the strip rolling direction with the x-axis set and the y-axis set along the line connecting the centers of the upper and lower rolls, where the farthest point is the midpoint of the line connecting the centers.

[0100] in, This represents the thickness at the entrance of the plastic deformation zone. The thickness at the exit of the plastic deformation zone; This indicates the speed of the rolled piece exiting the plastic deformation zone; This indicates the speed of the rolled piece at the entrance of the plastic deformation zone; The angular velocity of the rolling mill roll; This represents the thickness at the entrance of the plastic deformation zone. The thickness at the exit of the plastic deformation zone; This indicates the speed of the rolled piece exiting the plastic deformation zone; This indicates the speed of the rolled piece at the entrance of the plastic deformation zone.

[0101] , These are the upper and lower neutral angles at the troughs of the roll, respectively. , These are the upper and lower neutral angles at the waist of the roll, respectively. The upper and lower neutral angles are two constants that vary with rolling process parameters. , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone at the trough during rolling and the center of the upper roll, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the trough during rolling and the center of the lower roll, and the line connecting the centers of the rolls. It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. R represents the average radius of the upper roll and the lower roll; This indicates the radius of the upper roll at the waist of the wave. This indicates the radius of the lower roll at the waist of the wave; .

[0102] This represents a position function at any point on the upper surface of the rolling deformation zone at the trough of the roll, where the angle between the line connecting this arbitrary position and the center of the upper roll circle and the line connecting the centers of the rolls is... .

[0103] This represents a position function at any point on the lower surface of the rolling deformation zone at the trough of the roll, where the angle between the line connecting this arbitrary position and the center of the lower roll and the line connecting the centers of the rolls is... .

[0104] This represents a position function at any point on the upper surface of the rolling deformation zone at the waist of the roll, where the angle between the line connecting this arbitrary position and the center of the upper roll circle and the line connecting the centers of the rolls is . .

[0105] This represents a position function at any position on the lower surface of the rolling deformation zone at the waist of the roll, where the angle between the line connecting this arbitrary position to the center of the lower roll and the line connecting the centers of the rolls is... .

[0106] ω is the angular velocity of the roll rotation; H is the thickness at the entrance of the plastic deformation zone; h is the thickness at the exit of the plastic deformation zone. This indicates the speed of the rolled piece exiting the plastic deformation zone; This indicates the speed of the rolled piece at the entrance of the plastic deformation zone.

[0107] The screenshot of the waist section of the roll is the same as the one above. Figure 4 Similarly, for ease of distinction, the subscripts of some symbols are different, which will not be elaborated here.

[0108] Furthermore, the position function for any position on the surface of the plastic deformation zone corresponding to the trough of the roll can be determined by the following formulas (1) and (2):

[0109] (1);

[0110] (2);

[0111] The position function of any position on the surface of the plastic deformation zone corresponding to the waist of the roll can be expressed by the following formulas (3) and (4):

[0112] (3);

[0113] (4);

[0114] In formulas (1) to (4) above, This refers to any position on the upper surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; This refers to any position on the upper surface of the rolling deformation zone at the waist of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; This indicates the outlet thickness of the plastic deformation zone; This indicates the amplitude of the ripples on the surface of the roll; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. , This represents the average radius of the upper roll and the lower roll; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; .

[0115] Furthermore, the lengths of the plastic deformation zones corresponding to the troughs and waists can be expressed by the following formulas (5) and (6), respectively:

[0116] (5);

[0117] (6);

[0118] in, This indicates the length of the plastic deformation zone corresponding to the trough; This indicates the length of the plastic deformation zone corresponding to the waist of the wave; This indicates the entrance thickness of the plastic deformation zone; This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper and lower rolls.

[0119] The speed ratios of the upper and lower rolls at the troughs and waists of the wave can be expressed by the following formulas (7) and (8):

[0120] (7);

[0121] (8);

[0122] in, This indicates the speed ratio of the upper roll and the lower roll at the trough; This indicates the speed ratio of the upper roll and the lower roll at the waist of the wave; This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper roll and the lower roll; , These are the upper and lower neutral angles at the troughs of the roll, respectively. , These are the upper and lower neutral angles at the waist of the roll, respectively. The upper and lower neutral angles are two constants that vary with rolling process parameters. , , , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone at the trough during rolling and the center of the upper roll, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the trough during rolling and the center of the lower roll, and the line connecting the centers of the rolls. It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; ; This indicates the amplitude of the ripples on the surface of the roll.

[0123] Furthermore, the velocity field and strain rate field of the plastic deformation zone corresponding to the trough of the roll can be expressed by the following formulas (9) to (14):

[0124] (9);

[0125] (10);

[0126] (11);

[0127] (12);

[0128] (13);

[0129] (14);

[0130] in, , , The velocity field that constitutes the trough of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; H represents the velocity at the exit of the plastic deformation zone; H represents the inlet thickness of the plastic deformation zone. This indicates the outlet thickness of the plastic deformation zone; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the amplitude of the ripples on the surface of the roll; , , The strain rate field that constitutes the trough of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width The strain rate component in the direction.

[0131] Similarly, the velocity field and strain rate field corresponding to the wave waist can be expressed by the following formulas (15) to (20):

[0132] (15);

[0133] (16);

[0134] (17);

[0135] (18);

[0136] (19);

[0137] (20);

[0138] in, , , The velocity field that constitutes the waist of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; , , The strain rate field that constitutes the waist of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width Strain rate component in the direction; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; R is the average radius of the upper roll and the lower roll.

[0139] S102, combining the position function, plastic deformation zone length, velocity ratio, velocity field and strain rate field, the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone are determined by minimizing the total power functional.

[0140] After determining the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field, and the strain rate field, the rolling force corresponding to the trough and waist of the plastic deformation zone can be calculated by combining the above data.

[0141] In practical applications, the rolling forces corresponding to the troughs and waists are determined based on the internal deformation power, shear power, and friction power.

[0142] First, for the first rolling force in the plastic deformation zone at the trough, the internal deformation power, shear power, and friction power corresponding to the first rolling force can be determined by the following formulas (21) to (23):

[0143] (twenty one);

[0144] (twenty two);

[0145] (twenty three);

[0146] in, , , These represent the internal deformation power, shear power, and friction power at the trough of the roll, respectively. The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls. It is the angle between the line connecting any position on the lower surface of the workpiece and the center of the lower roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls.

[0147] Furthermore, after obtaining the aforementioned internal deformation power, shear power, and friction power, the upper neutral angle corresponding to the trough can be determined using the formula (7) above. and lower neutral angle The first rolling force is determined by minimizing the total power functional, representing the different speed ratios.

[0148] That is, by minimizing the total power functional using the following formulas (24) and (25), the corresponding internal deformation power, shear power and friction power are obtained.

[0149] (twenty four);

[0150] (25);

[0151] Finally, combining the internal deformation power, shear power, and friction power obtained by minimizing the total power functional, the first rolling force is determined to be expressed by the following formula (26):

[0152] (26);

[0153] in, , , These represent the internal deformation power, shear power, and friction power at the trough of the roll when the total power functional is at its minimum; This represents the first rolling force; The angular velocity of the rolling mill roll; This is the lever arm coefficient; This indicates the length of the plastic deformation zone corresponding to the trough.

[0154] Similar to the method described above for determining the first rolling force, the second rolling force can be determined using the following formulas (27) to (32):

[0155] (27);

[0156] (28);

[0157] (29);

[0158] in, , , This represents the internal deformation power, shear power, and friction power at the waist of the roll. This indicates the length of the plastic deformation zone corresponding to the waist of the wave; The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll to the line connecting the centers of the rolls in the plastic deformation zone corresponding to the roll waist is given. It is the angle between the line connecting any position on the lower surface of the workpiece in the plastic deformation zone corresponding to the roll waist and the center of the lower roll, and the line connecting the centers of the rolls.

[0159] Furthermore, after obtaining the aforementioned internal deformation power, shear power, and friction power, the upper neutral angle corresponding to the wave waist can be determined using the above formula (8). and lower neutral angle The second rolling force is determined by minimizing the total power functional, using the given speed ratio.

[0160] That is, by minimizing the total power functional using the following formulas (30) and (31), the corresponding internal deformation power, shear power and friction power are obtained.

[0161] (30);

[0162] (31);

[0163] Finally, combining the internal deformation power, shear power, and friction power obtained by minimizing the total power functional, the first rolling force is determined to be expressed by the following formula (32):

[0164] (32);

[0165] in, , , These represent the internal deformation power, shear power, and friction power at the waist of the roll when the total power functional is at its minimum; This indicates the second rolling force; The angular velocity of the rolling mill roll; This is the lever arm coefficient; This indicates the length of the plastic deformation zone corresponding to the waist of the wave.

[0166] S103, combining the first rolling force and the second rolling force, determine the total rolling force of the plastic deformation zone.

[0167] Specifically, S103 refers to determining the total rolling force of the plastic deformation zone by combining the first rolling force, the second rolling force, and the entrance width of the plastic deformation zone.

[0168] Specifically, the above S103 can be determined by the following formula (33):

[0169] (33);

[0170] in, This represents the first rolling force; This indicates the second rolling force; B represents the total rolling force; B represents the entrance width of the plastic deformation zone.

[0171] S104, determine the roll gap size of the longitudinal wave rolling equipment based on the total rolling force.

[0172] The calculation of the roll gap size is based on the total rolling force, the exit width of the plastic deformation zone, and the stiffness.

[0173] Specifically, the above S104 can be determined by the following formula (34):

[0174] (34);

[0175] in, Indicates the size of the roll gap; Indicates stiffness; This indicates the outlet thickness of the plastic deformation zone.

[0176] In the roll gap calculation experiment using this method, the stiffness K=3×10 was adopted. 6 N / mm, thickness H at the entrance of the plastic deformation zone = 4 × 10 -3 m, the exit thickness of the plastic deformation zone is h = 2.8 × 10 m. -3 mm, entrance width of the plastic deformation zone B=0.06m, angular velocity of the roll rotation rad / s, average roll radius R = 0.075 m, amplitude of roll surface ripples A = 3.5 × 10⁻⁶ m. -4 m, friction factor between the roll and the slab m=0.8, entry velocity of the workpiece m / s; lever arm coefficient The final calculated total rolling force and the measured rolling force are as follows: Figure 5 As shown, Figure 5 A schematic diagram showing the comparison between the calculated and measured values ​​of the total rolling force provided in the embodiments of this application. Figure 5 In the diagram, curve 1 represents the measured rolling force, and curve 2 represents the calculated total rolling force. Based on... Figure 5It can be seen that with the increase of rolling force and rolling time, the measured rolling force is basically the same as the calculated total rolling force. Based on the above data, the final calculated roll gap value is 2.8 mm, and the measured roll gap value is 2.768 mm, with an error within 5%.

[0177] In summary, the roll gap calculation method for longitudinal wave rolling provided in this application divides the calculation of rolling force into two parts: the trough and the waist. It combines the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the velocity ratio of the upper and lower rolls at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone, to determine the rolling force at the trough and waist in the plastic deformation zone. This determines the total rolling force in the plastic deformation zone, and based on the total rolling force, the roll gap size is determined. This achieves the calculation of roll gap during longitudinal wave rolling.

[0178] This application implements a roll gap calculation device for a longitudinal wave rolling process. Please refer to [link / reference]. Figure 6 , Figure 6 A structural diagram of the roll gap calculation device for the longitudinal wave rolling process provided in the embodiments of this application.

[0179] like Figure 6 As shown, the roll gap calculation device for the longitudinal wave rolling process includes:

[0180] The partition processing unit 601 is used to determine, based on the rolling parameters of the longitudinal wave rolling equipment, the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the different speed ratio of the upper roll and the lower roll at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone.

[0181] The segmented rolling force calculation unit 602 is used to combine the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field, and the strain rate field, and to determine the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone by minimizing the total power functional.

[0182] The total rolling force calculation unit 603 is used to determine the total rolling force of the plastic deformation zone by combining the first rolling force and the second rolling force.

[0183] The roll gap calculation unit 604 is used to determine the roll gap size of the longitudinal wave rolling equipment based on the total rolling force.

[0184] The device embodiments provided in this embodiment and the method embodiments of this application belong to the same application concept. For technical details not described in detail in this embodiment, please refer to the specific processing content of the method provided in the above embodiments of this application, which will not be repeated here.

[0185] This application also provides an electronic device, such as... Figure 7 As shown, Figure 7 This is a schematic diagram of an electronic device structure provided in an embodiment of this application.

[0186] like Figure 7 As shown, the electronic device includes: a processor 210; a memory 200 for storing executable instructions of the processor 210; the processor 210 is used to execute the roll gap calculation method for the longitudinal wave rolling process disclosed in any of the above embodiments by running the instructions in the memory 200.

[0187] Processor 210, memory 200, communication interface 220, input device 230, and output device 240 are interconnected via a bus. The bus may include a pathway for transmitting information between various components of the computer system. Processor 210 may be a general-purpose processor, such as a general-purpose central processing unit (CPU), a microprocessor, etc., or an application-specific integrated circuit (ASIC), or one or more integrated circuits used to control the execution of the program of the present invention. It may also be a digital signal processor (DSP), application-specific integrated circuit (ASIC), off-the-shelf programmable gate array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components. Processor 210 may include a main processor, and may also include a baseband chip, modem, etc.

[0188] The memory 200 stores a program that executes the technical solution of this invention, and may also store an operating system and other key business functions. Specifically, the program may include program code, which includes computer operation instructions. More specifically, the memory 200 may include read-only memory (ROM), other types of static storage devices capable of storing static information and instructions, random access memory (RAM), other types of dynamic storage devices capable of storing information and instructions, disk storage, flash memory, etc.

[0189] Input device 230 may include a device for receiving user input data and information, such as a keyboard, mouse, camera, scanner, touchscreen, etc. Output device 240 may include a device that allows information to be output to the user, such as a display screen, printer, speaker, etc. Communication interface 220 may include a device using any transceiver to communicate with other devices or communication networks, such as Ethernet, Radio Access Network (RAN), Wireless Local Area Network (WLAN), etc. Processor 210 executes the program stored in memory 200 and calls other devices, and can be used to implement the various steps of any of the roll gap calculation methods for longitudinal wave rolling processes provided in the above embodiments of this application.

[0190] Finally, it should be noted that in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

Claims

1. A method for calculating the roll gap in a longitudinal wave rolling process, characterized in that, include: Based on the rolling parameters of the longitudinal wave rolling equipment, the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the different speed ratio of the upper roll and the lower roll at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone are determined respectively. Combining the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field, and the strain rate field, the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone are determined by minimizing the total power functional. The total rolling force in the plastic deformation zone is determined by combining the first rolling force and the second rolling force. The roll gap size of the longitudinal wave rolling equipment is determined based on the total rolling force. The rolling parameters based on the longitudinal wave rolling equipment determine the position function at any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the velocity ratio of the upper and lower rolls at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone, including: A rectangular coordinate system is established with the midpoint of the line connecting the upper and lower rolls as the origin and the length direction of the rolled workpiece as the x-axis. Based on the Cartesian coordinate system, and combined with the exit thickness of the plastic deformation zone, the average radius of the upper and lower rolls, and the amplitude of the ripples on the roll surface, the position functions of any position on the surface of the plastic deformation zone at the trough and waist of the roll are determined respectively. The lengths of the plastic deformation zones corresponding to the waist and trough are determined based on the inlet thickness of the plastic deformation zone, the outlet thickness, the average radius of the upper and lower rolls, and the amplitude of the ripples on the roll surface. The velocity ratio of the upper and lower rolls at the trough and waist of the wave is determined based on the exit thickness of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the rolls, and the neutral angle of the upper and lower rolls. Based on the Cartesian coordinate system, and combined with the exit velocity of the plastic deformation zone, the average radius of the upper and lower rolls, the amplitude of the surface ripples of the roll, and the exit thickness of the plastic deformation zone, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone are determined. The roll gap size of the longitudinal wave rolling mill is determined based on the total rolling force using the following formula: ； ； in, The total rolling force is represented by K; K represents the stiffness. This indicates the outlet thickness of the plastic deformation zone; This represents the first rolling force; This indicates the second rolling force; This represents the total rolling force; B represents the size of the roll gap; B represents the entrance width of the plastic deformation zone.

2. The roll gap calculation method for longitudinal wave rolling process according to claim 1, characterized in that, The position function at any point on the surface of the plastic deformation zone at the trough of the roll is expressed by the following formula: ； ； The position function at any point on the surface of the plastic deformation zone at the waist of the roll is expressed by the following formula: ； ； in, This refers to any position on the upper surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the upper surface of the rolling deformation zone at the waist of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; This indicates the outlet thickness of the plastic deformation zone; This indicates the amplitude of the ripples on the surface of the roll; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. R represents the average radius of the upper roll and the lower roll; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; .

3. The roll gap calculation method for longitudinal wave rolling process according to claim 1, characterized in that, The length of the plastic deformation zone corresponding to the trough is expressed by the following formula: ； The length of the plastic deformation zone corresponding to the waist of the wave is expressed by the following formula: ； in, This indicates the length of the plastic deformation zone corresponding to the trough; This indicates the length of the plastic deformation zone corresponding to the waist of the wave; Indicates the entrance thickness of the plastic deformation zone, This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper and lower rolls.

4. The roll gap calculation method for longitudinal wave rolling process according to claim 1, characterized in that, The speed ratio of the upper roll and the lower roll at the trough is expressed by the following formula: ； The speed ratio of the upper roll and the lower roll at the waist of the wave is expressed by the following formula: ； in, This indicates the speed ratio of the upper roll and the lower roll at the trough; This indicates the speed ratio of the upper roll and the lower roll at the waist of the wave; This indicates the outlet thickness of the plastic deformation zone; This represents the average radius of the upper roll and the lower roll; , These are the upper and lower neutral angles at the troughs of the roll, respectively. , These are the upper and lower neutral angles at the waist of the roll, respectively. The upper and lower neutral angles are two constants that vary with rolling process parameters. , , , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone at the trough during rolling and the center of the upper roll, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the trough during rolling and the center of the lower roll, and the line connecting the centers of the rolls. It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; ; This indicates the amplitude of the ripples on the surface of the roll.

5. The roll gap calculation method for longitudinal wave rolling process according to claim 1, characterized in that, The velocity field and strain rate field of the trough of the roll in the plastic deformation zone are expressed by the following formula: ； ； ； ； ； ； in, , , The velocity field that constitutes the trough of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; This indicates the velocity at the outlet of the plastic deformation zone; Indicates the entrance thickness of the plastic deformation zone, This indicates the outlet thickness of the plastic deformation zone; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. ; This indicates the amplitude of the ripples on the surface of the roll; , , The strain rate field that constitutes the trough of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width Strain rate component in the direction; The velocity field and strain rate field of the waist of the roll in the plastic deformation zone are expressed by the following formula: ； ； ； ； ； ； in, , , The velocity field that constitutes the waist of the roll in the plastic deformation zone; , , These represent the lengths of the rolled pieces. ,thickness and width The velocity component in the direction; , , The strain rate field that constitutes the waist of the roll in the plastic deformation zone; , , The length of the rolled piece ,thickness and width Strain rate component in the direction; This indicates the radius of the upper roll at the waist of the wave; This indicates the radius of the lower roll at the waist of the wave; , The average radius of the upper roll and the lower roll.

6. The roll gap calculation method for longitudinal wave rolling process according to claim 1, characterized in that, The first rolling force is determined by the following formula: ； ； ； ； ； ； in, , , These represent the internal deformation power, shear power, and friction power at the trough of the roll, respectively. , , These represent the internal deformation power, shear power, and friction power at the trough of the roll when the total power functional is at its minimum; This represents the first rolling force; The deformation resistance of the rolled piece; This indicates the velocity at the outlet of the plastic deformation zone; This indicates the outlet thickness of the plastic deformation zone; This indicates the length of the plastic deformation zone corresponding to the trough; This refers to any position on the upper surface of the rolling deformation zone at the trough of the roll. Position function; This refers to any position on the lower surface of the rolling deformation zone at the waist of the roll. Position function; , The length of the rolled piece ,thickness Strain rate component in the direction; The friction factor between the workpiece and the roll; , These represent the lengths of the rolled pieces. ,thickness The velocity component in the direction; The angular velocity of the rolling mill roll; This is the lever arm coefficient; This indicates the radius of the upper roller at the trough. ; This indicates the radius of the lower roll corresponding to the trough. A represents the amplitude of the ripples on the surface of the roll; The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls. The angle between the line connecting any position on the lower surface of the workpiece and the center of the lower roll in the plastic deformation zone corresponding to the roll trough, and the line connecting the centers of the rolls; , These are the upper neutral angle and the lower neutral angle, respectively, which are two constants that vary with rolling process parameters. , , It is the angle between the line connecting the upper inlet contact point of the plastic deformation zone and the center of the upper roll during rolling, and the line connecting the centers of the rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone and the center of the lower roll during rolling, and the line connecting the centers of the rolls. The second rolling force is determined by the following formula: ； ； ； ； ； ； in, , , This represents the internal deformation power, shear power, and friction power at the waist of the roll. , , These represent the internal deformation power, shear power, and friction power at the waist of the roll when the total power functional is at its minimum; This indicates the length of the plastic deformation zone corresponding to the waist of the wave; , These are the strain rate components along the length x and thickness y directions of the rolled piece at the waist of the wave, respectively. , These represent the velocity components in the x-direction of the workpiece length and the y-direction of the thickness at the waist of the wave; This indicates the second rolling force; , These are the upper and lower neutral angles at the waist of the roll, respectively. , ; It is the angle between the upper inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the upper roll and the rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the wave and the center of the lower roll, and the line connecting the centers of the rolls; The angle between the line connecting any position on the upper surface of the workpiece and the center of the upper roll to the line connecting the centers of the rolls in the plastic deformation zone corresponding to the roll waist is given. 2 is the angle between the line connecting any position on the lower surface of the workpiece and the center of the lower roll in the plastic deformation zone corresponding to the roll waist, and the line connecting the center of the roll.

7. A roll gap calculation device for a longitudinal wave rolling process, applied to the roll gap calculation method for a longitudinal wave rolling process according to any one of claims 1-6, characterized in that, include: The partitioning processing unit is used to determine, based on the rolling parameters of the longitudinal wave rolling equipment, the position function of any position on the surface of the plastic deformation zone at the trough and waist of the roll, the length of the plastic deformation zone corresponding to the trough and waist, the different speed ratio of the upper roll and the lower roll at the trough and waist, the velocity field and strain rate field of the trough and waist of the roll in the plastic deformation zone. The segmented rolling force calculation unit is used to combine the position function, the length of the plastic deformation zone, the velocity ratio, the velocity field, and the strain rate field, and to determine the first rolling force corresponding to the trough in the plastic deformation zone and the second rolling force corresponding to the waist in the plastic deformation zone by using the total power functional minimization method. The total rolling force calculation unit is used to determine the total rolling force in the plastic deformation zone by combining the first rolling force and the second rolling force. A roll gap calculation unit is used to determine the roll gap size of the longitudinal wave rolling equipment based on the total rolling force.

8. An electronic device, characterized in that, include: processor; Memory used to store the processor's executable instructions; The processor is configured to execute the roll gap calculation method for the longitudinal wave rolling process according to any one of claims 1 to 6 by running instructions in the memory.

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