Method for calculating rolling force of metal plate rolling by longitudinal wave

Abstract

The application discloses a rolling force calculation method for metal plate longitudinal wave rolling, and relates to the rolling technical field.The rolling force calculation method for metal plate longitudinal wave rolling comprises the following steps: based on the rolling parameters of a longitudinal wave rolling device and the neutral angle of the rolling process of the longitudinal wave rolling device, the rolling forces of plastic deformation zones at wave troughs and wave waists of the longitudinal wave rolling device are respectively determined; and according to the rolling forces of the plastic deformation zones at the wave troughs and the wave waists of the longitudinal wave rolling device, the total rolling force of the plastic deformation zone of the longitudinal wave rolling device is determined.

Description

Technical Field

[0001] This invention relates to the field of rolling technology, and in particular to a method for calculating the rolling force in longitudinal wave rolling of metal sheets. Background Technology

[0002] The core of high-load-bearing capacity metal sheet longitudinal wave rolling lies in the precise control of the shape and size accuracy of the longitudinal waveform during the rolling process, which directly affects the load-bearing capacity of the final product. Currently, the calculation of rolling force for high-load-bearing capacity metal sheet longitudinal wave rolling mainly relies on numerical simulation. While numerical simulation can provide high prediction accuracy, its complex calculation process and long computation time limit its application efficiency when rapidly adjusting production processes. Furthermore, each simulation requires specific settings for particular operating conditions, lacking broad applicability. Therefore, there is an urgent need for a rolling force calculation method in the longitudinal wave rolling process of high-load-bearing capacity metal sheets that can both shorten calculation time and improve calculation accuracy, while also being applicable to various production scenarios. Summary of the Invention

[0003] The purpose of this invention is to provide a method for calculating the rolling force of longitudinal wave rolling of metal sheets, so as to improve the calculation efficiency and accuracy of the longitudinal wave rolling force of metal sheets.

[0004] To achieve the above objectives, the present invention provides the following technical solution:

[0005] A method for calculating the rolling force in longitudinal wave rolling of metal sheet includes: determining the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling equipment based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle of the rolling process of the longitudinal wave rolling equipment; and determining the total rolling force in the plastic deformation zone of the longitudinal wave rolling equipment based on the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling equipment.

[0006] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill includes: determining a first total power functional corresponding to different neutral angles at the trough of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill; determining the rolling force in the plastic deformation zone at the trough by minimizing the first total power functional based on the neutral angle; determining a second total power functional corresponding to different neutral angles at the waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the waist by minimizing the second total power functional based on the neutral angle.

[0007] In one optional embodiment of this application, the determination of the first total power functional corresponding to different neutral angles at the troughs of the longitudinal wave rolling mill, based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill, is expressed by the following formula:

[0008] ;

[0009] ;

[0010] ;

[0011] ;

[0012] in, This represents the first internal deformation power in the plastic deformation zone at the trough. This represents the first shear power in the plastic deformation zone at the trough. This represents the first frictional power in the plastic deformation zone at the trough. Let be the first total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; This represents the rotational speed of the lower roll corresponding to the trough of the roll wave. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface. and These are the upper and lower neutral angles at the troughs of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, 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. H 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; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. This represents the rotational speed of the upper roll corresponding to the trough of the roll wave.

[0013] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the trough based on the neutral angle and by minimizing the first total power functional includes: determining the neutral angle corresponding to the minimum of the first total power functional; determining the roll torque at the trough based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the trough based on the roll torque and lever arm coefficient at the trough.

[0014] In one optional embodiment of this application, the determination of the roll torque at the trough based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling mill is determined by the following formula:

[0015] ;

[0016] ;

[0017] in, and , respectively, represent the torques of the upper and lower rolls at the troughs of the longitudinal wave rolling mill; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; A is the wave amplitude on the roll surface; 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. The upper neutral angle at the roll trough when the first total power functional is at its minimum; The lower neutral angle at the trough of the roll when the first total power functional is at its minimum.

[0018] In one optional embodiment of this application, the determination of the second total power functional corresponding to different neutral angles at the waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill is expressed by the following formula:

[0019] ;

[0020] ;

[0021] ;

[0022] ;

[0023] in, This represents the second internal deformation power in the plastic deformation zone at the waist of the wave. This represents the second shear power in the plastic deformation zone at the waist of the wave. This represents the second frictional power in the plastic deformation zone at the waist of the wave. is the second total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; The rotational speed of the lower roll corresponding to the waist of the roll wave; R is the exit thickness of the plastic deformation zone; R is the average radius of the roll. and These are the upper and lower neutral angles at the waist of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, It is the angle between the line connecting 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 rolls. H is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll and the center of the lower roll, and the line connecting the centers of the rolls; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. The rotational speed of the upper roll corresponding to the waist of the roll wave; The angle between the line connecting 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 rolls. ,or The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls. At the waist of the wave .

[0024] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the waist of the wave based on the neutral angle and minimizing the second total power functional includes: determining the neutral angle corresponding to the minimum of the second total power functional; determining the roll torque at the waist of the wave based on the neutral angle corresponding to the minimum of the second total power functional and the rolling parameters of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the waist of the wave based on the roll torque and lever arm coefficient at the waist of the wave.

[0025] In one optional embodiment of this application, the roll torque at the waist of the wave is determined by the following formula:

[0026] ;

[0027] ;

[0028] in, and represents the torque of the upper and lower rolls at the waist of the longitudinal wave rolling mill, respectively; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; It is the angle between the line connecting 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 rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls; This represents the upper neutral angle at the waist of the roll wave when the second total power functional is at its minimum; This represents the lower neutral angle at the waist of the roll wave when the second total power functional is at its minimum.

[0029] In one optional embodiment of this application, the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill is determined by the following formula:

[0030] ;

[0031] or,

[0032] ;

[0033] in, The rolling force is the plastic deformation zone at the trough. This is the lever arm coefficient of the upper roll at the trough; This is the lever arm coefficient of the lower roll at the trough; and These represent the torques of the upper and lower rolls at the trough of the longitudinal wave rolling mill; H is the entrance thickness of the plastic deformation zone. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface.

[0034] The rolling force in the plastic deformation zone at the waist of the longitudinal wave rolling mill is determined by the following formula:

[0035] ;

[0036] or,

[0037] ;

[0038] in, The rolling force is the plastic deformation zone at the waist of the wave. The lever arm coefficient of the upper roll at the waist of the wave; The lever arm coefficient of the lower roll at the waist of the wave; and These refer to the torques of the upper and lower rolls at the waist of the longitudinal wave rolling mill.

[0039] In one optional embodiment of this application, the determination of the total rolling force in the plastic deformation zone of the longitudinal wave rolling mill, based on the rolling force in the plastic deformation zone at the trough and waist of the wave, is achieved by the following formula:

[0040] ;

[0041] in, The total rolling force; The rolling force is the plastic deformation zone at the trough. is the rolling force in the plastic deformation zone at the waist of the wave; b is the entrance width of the plastic deformation zone.

[0042] Compared with the prior art, the rolling force calculation method for longitudinal wave rolling of metal sheets provided by the present invention divides the roll surface of the longitudinal wave rolling device into two parts, the waist and the trough, and calculates the rolling force of the corresponding plastic deformation zone in combination with the neutral angle. This method can accurately calculate the total rolling force of the plastic deformation zone of the metal workpiece. Moreover, the calculation process is simple. It only needs to combine the corresponding longitudinal wave rolling parameters to calculate the rolling force. There is no need to perform numerical simulation for different working conditions, which is conducive to improving calculation efficiency.

[0043] The present invention also provides a rolling force calculation device for longitudinal wave rolling of metal sheets, comprising:

[0044] The zoned rolling force calculation unit is used to determine the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle of the longitudinal wave rolling process.

[0045] The total rolling force calculation unit is used to determine the total rolling force of the plastic deformation zone of the longitudinal wave rolling mill based on the rolling force of the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill.

[0046] Compared with the prior art, the beneficial effects of the rolling force calculation device for longitudinal wave rolling of metal sheet provided by the present invention are the same as those of the rolling force calculation method for longitudinal wave rolling of metal sheet described in the above technical solution, and will not be repeated here.

[0047] 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 above-described method for calculating the rolling force of longitudinal wave rolling of metal sheet by running the instructions in the memory.

[0048] Compared with the prior art, the beneficial effects of the electronic device provided by the present invention are the same as those of the rolling force calculation method for longitudinal wave rolling of metal sheets described in the above technical solution, and will not be repeated here.

[0049] The present invention also provides a computer storage medium storing instructions that, when executed by a processor, implement the above-mentioned method for calculating the rolling force in longitudinal wave rolling of metal sheets.

[0050] Compared with the prior art, the beneficial effects of the computer storage medium provided by the present invention are the same as the beneficial effects of the rolling force calculation method for longitudinal wave rolling of metal plates described in the above technical solution, and will not be repeated here. Attached Figure Description

[0051] The accompanying drawings, which are included to provide a further understanding of the invention and form part of this invention, illustrate exemplary embodiments of the invention and are used to explain the invention, but do not constitute an undue limitation of the invention. In the drawings:

[0052] Figure 1 A flowchart illustrating the method for calculating the rolling force in longitudinal wave rolling of metal sheets provided in this application embodiment.

[0053] Figure 2 This is a schematic diagram of longitudinal wave rolling of metal sheet provided in an embodiment of this application.

[0054] Figure 3 A schematic diagram of the roll profile curves of the upper and lower rolls on the longitudinal wave rolling equipment provided in the embodiments of this application.

[0055] Figure 4 This is a schematic cross-sectional view of the trough portion during longitudinal wave rolling, provided in an embodiment of this application.

[0056] Figure 5 This is a schematic cross-sectional view of the wave waist portion during longitudinal wave rolling, provided in an embodiment of this application.

[0057] Figure 6 A comparison diagram of measured rolling force and calculated rolling force provided for embodiments of this application.

[0058] Figure 7 A structural diagram of the rolling force calculation device for longitudinal wave rolling of metal sheet provided in this application embodiment.

[0059] Figure 8 This is a schematic diagram of an electronic device structure provided in an embodiment of this application. Detailed Implementation

[0060] 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.

[0061] 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.

[0062] 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.

[0063] Improving the quality and performance of sheet metal and optimizing the production and use of sheet metal is one of the key challenges facing the modern steel industry.

[0064] Currently, corrugated steel sheets are made from ordinary steel sheets through stamping or rolling. By altering their geometry, they become less prone to buckling deformation, thus improving the overall buckling performance of structural members. Corrugated steel sheets are characterized by high bending resistance and high ductility. Compared to flat plates, under the same thickness, the load-bearing capacity of corrugated steel sheets is several times that of flat structures of the same volume. When used as webs, corrugated steel sheets increase shear buckling strength by 1.5-2 times. The thinner webs eliminate the need for additional angle braces, supports, or other reinforcing ribs, reducing the self-weight of web beams by 10%-30%, thereby increasing the spanning capacity of bridges and other structures. Cost reduction can reach up to 30%, making it an effective way to achieve lightweight structures. Rolling processes offer advantages such as simplicity, efficiency, and suitability for large-scale continuous industrial production. For example, using longitudinal wave rolling to prepare corrugated steel sheets offers advantages such as high production efficiency, good surface quality, and strong load-bearing capacity.

[0065] In order to achieve accurate calculation of rolling force and improve the calculation efficiency of rolling force, this application provides a method for calculating rolling force in longitudinal wave rolling of metal sheet, which will be described one by one in the following embodiments.

[0066] This application first provides a method for calculating the rolling force in longitudinal wave rolling of metal sheets. Please refer to... Figure 1 , Figure 1 A flowchart illustrating the method for calculating the rolling force in longitudinal wave rolling of metal sheets provided in this application embodiment.

[0067] like Figure 1 As shown, the calculation method for the rolling force in longitudinal wave rolling of metal sheets includes the following S101 and S102.

[0068] S101, based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle of the longitudinal wave rolling process, determine the rolling force of the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill respectively.

[0069] First, to facilitate understanding of the rolling force calculation method provided in the embodiments of this application, the following is combined with... Figure 2 and Figure 3 The troughs and waists mentioned in S101 above will be explained.

[0070] 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.

[0071] 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 a process of directly rolling longitudinally corrugated metal sheets through wavy rolls along the rolling direction.

[0072] For further details, please refer to... Figure 3 , Figure 3 A schematic diagram of the roll profile curves of the upper and lower rolls on the longitudinal wave rolling equipment provided in the embodiments of this application.

[0073] like Figure 3 As shown, in practical applications, the roll profile curves of the upper and lower rolls on the longitudinal wave rolling equipment are periodic. If we assume that the amplitude is A, the period T of the roll profile is equal to d, and its surface curve can be represented by trigonometric functions.

[0074] Specifically, for the upper roll, its radius at point x is... Correspondingly, for the lower roll, its roll radius at point x is... , where R represents the average radius of the upper and lower rolls.

[0075] Furthermore, the trough mentioned in S101 above refers to the position of the roll used to roll the recess during the rolling process of the workpiece. The other positions are called the waist. The radius of the roll at the waist is equal to the average radius R of the upper and lower rolls. The radii of the upper and lower rolls at the trough are R+A and RA, or RA and R+A, respectively.

[0076] The purpose of S101 is to obtain the rolling force in the plastic deformation zone at the waist and trough of the wave, so as to calculate the total rolling force of the rolling equipment in the plastic deformation zone by combining the rolling force in the plastic deformation zone at the waist and trough.

[0077] Specifically, S101 includes the following S11 to S14.

[0078] S11, based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process of the longitudinal wave rolling equipment, determine the first total power functional corresponding to different neutral angles at the troughs of the longitudinal wave rolling equipment.

[0079] Specifically, the first total power functional is obtained based on the internal deformation power, friction power, and shear power of the longitudinal wave rolling equipment at the wave trough.

[0080] First, to facilitate understanding of the rolling parameters of the longitudinal wave rolling equipment used in calculating the first total power functional, the following is combined with... Figure 4 The relevant parameters of the trough section are introduced.

[0081] Please refer to Figure 4 , Figure 4 This is a schematic cross-sectional view of the trough portion during longitudinal wave rolling, provided in an embodiment of this application.

[0082] 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 rolling direction of the workpiece, with the x-axis set and the y-axis set along the line connecting the centers of the upper and lower rolls.

[0083] in, 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. and These are the upper and lower neutral angles at the troughs of the roll, respectively, and are constants that vary with rolling process parameters. , R represents the average radius of the roll; A is the amplitude of the corrugations on the roll surface. For the exit speed of the rolled piece; For the entry speed of the rolled piece; This represents the rotational speed of the upper roll corresponding to the trough of the roll wave; is the rotational speed of the lower roll corresponding to the trough of the roll; h is the exit thickness of the plastic deformation zone; H is the entrance thickness of the plastic deformation zone; This represents the velocity component of the upper roller on the x-axis; This represents the velocity component of the upper roller on the y-axis.

[0084] Before calculating the internal deformation power, friction power, and shear power at the trough, to facilitate the calculation, the unit flow rate U1 at the entrance of the trough of the plastic deformation zone is first determined by combining the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process of the longitudinal wave rolling equipment.

[0085] Specifically, the unit flow rate U1 is represented by the following formula (1) based on the velocity at the neutral plane of the longitudinal wave rolling equipment trough, the neutral angle, the workpiece and the geometric dimensions of the roll.

[0086] (1);

[0087] Where U1 is the flow rate per second at the trough entrance.

[0088] Furthermore, combining the above-mentioned unit flow rate per second and the rolling parameters of the longitudinal wave rolling equipment, the first total power functional is calculated.

[0089] Specifically, the first total power functional is expressed by the following formulas (2) to (5):

[0090] (2);

[0091] (3);

[0092] (4);

[0093] (5);

[0094] in, This represents the first internal deformation power in the plastic deformation zone at the trough. This represents the first shear power in the plastic deformation zone at the trough. This represents the first frictional power in the plastic deformation zone at the trough. Let be the first total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; The rotational speed of the lower roller; R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface. and These are the upper and lower neutral angles at the troughs of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, 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. H 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; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. The rotational speed of the upper roller.

[0095] S12, based on the neutral angle, the rolling force in the plastic deformation zone at the trough is determined by minimizing the first total power functional.

[0096] Specifically, since the neutral angle is a constant that varies with the rolling process parameters, the first total power functional can be minimized using the neutral angle as a variable to obtain the neutral angle corresponding to the minimum of the first total power functional. Then, by combining this neutral angle, the rolling force in the plastic deformation zone at the trough can be determined.

[0097] Specifically, S12 above includes the following S121 to S123.

[0098] S121, Based on the neutral angle, determine the neutral angle corresponding to the minimum of the first total power functional.

[0099] Specifically, the above S121 can be represented by the following formulas (6) and (7).

[0100] Place ,get:

[0101] (6);

[0102] Place ,get:

[0103] (7);

[0104] in, The speed ratio of the upper and lower rolls. .

[0105] Finally, by solving the above formulas (6) and (7), we can obtain the neutral angle corresponding to the minimum of the first total power functional, which is denoted as the minimum first upper neutral angle. and the smallest first lower neutral angle .

[0106] S122, determine the roll torque at the trough based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling equipment.

[0107] The above S122 refers to the neutral angle corresponding to the minimum of the first total power functional, which can be used to calculate the roll torque at the trough.

[0108] Specifically, the roll torque at the trough is expressed by the following formulas (8) and (9).

[0109] (8);

[0110] (9);

[0111] in, and , respectively, represent the torques of the upper and lower rolls at the troughs of the longitudinal wave rolling mill; m is the friction factor between the workpiece and the rolls; k is the yield shear stress. , This represents the deformation resistance of the slab.

[0112] S123, determine the rolling force of the plastic deformation zone at the trough based on the roll torque, lever arm coefficient and the length of the plastic deformation zone of the longitudinal wave rolling equipment.

[0113] Specifically, it can be expressed by the following formula (10) or (11).

[0114] (11);

[0115] (12);

[0116] in, The rolling force is the plastic deformation zone at the trough. This is the lever arm coefficient of the upper roll at the trough; This is the lever arm coefficient of the lower roll at the trough.

[0117] S13, based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process of the longitudinal wave rolling equipment, determine the second total power functional corresponding to different neutral angles at the waist of the longitudinal wave rolling equipment.

[0118] Similar to S1 above, the second total power functional is obtained based on the internal deformation power, friction power, and shear power of the longitudinal wave rolling equipment at the wave waist.

[0119] To facilitate understanding of the rolling parameters of the longitudinal wave rolling equipment used in calculating the second total power functional, the following is combined with... Figure 5 The relevant parameters of the wave waist are introduced.

[0120] Please refer to Figure 5 , Figure 5 This is a schematic cross-sectional view of the wave waist portion during longitudinal wave rolling, provided in an embodiment of this application.

[0121] like Figure 5 As shown, Figure 5 It includes the upper roll, the lower roll, and the rolled piece. Figure 5 The coordinate system in the figure is based on the rolling direction of the workpiece, with the x-axis set and the y-axis set along the line connecting the centers of the upper and lower rolls.

[0122] and Figure 4 akin, It is the angle between the line connecting 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 rolls. The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls is denoted as . ; and These are the upper and lower neutral angles at the waist of the roll, respectively, and are constants that vary with rolling process parameters. , R represents the average radius of the roll; For the exit speed of the rolled piece; For the entry speed of the rolled piece; The rotational speed of the upper roll corresponding to the waist of the roll wave; is the rotational speed of the lower roll corresponding to the roll wave waist; h is the exit thickness of the plastic deformation zone; H is the entrance thickness of the plastic deformation zone; This represents the velocity component of the upper roller on the x-axis; This represents the velocity component of the upper roller on the y-axis.

[0123] Before calculating the internal deformation power, friction power, and shear power at the trough, to facilitate the calculation, the unit flow rate per second at the waist of the plastic deformation zone is first determined by combining the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process. .

[0124] Specifically, the flow rate per second Based on the velocity at the neutral plane of the wave waist of the longitudinal wave rolling equipment, the neutral angle, and the geometric dimensions of the workpiece and the roll, it is expressed by the following formula (13).

[0125] (13);

[0126] in, This represents the flow rate per second at the waist of the wave.

[0127] Furthermore, by combining the above-mentioned unit flow rate per second and the rolling parameters of the longitudinal wave rolling setting, the second total power functional is calculated.

[0128] Specifically, the second total power functional can be expressed by the following formulas (14) to (17):

[0129] (14);

[0130] (15);

[0131] (16);

[0132] (17);

[0133] in, This represents the second internal deformation power in the plastic deformation zone at the waist of the wave. This represents the second shear power in the plastic deformation zone at the waist of the wave. This represents the second frictional power in the plastic deformation zone at the waist of the wave. is the second total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; The rotational speed of the lower roll corresponding to the waist of the roll wave; R is the exit thickness of the plastic deformation zone; R is the average radius of the roll. and These are the upper and lower neutral angles at the waist of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, It is the angle between the line connecting 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 rolls. H is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll and the center of the lower roll, and the line connecting the centers of the rolls; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. The rotational speed of the upper roll corresponding to the waist of the roll wave; The angle between the line connecting 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 rolls. ,or The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls. At the waist of the wave .

[0134] S14. Based on the neutral angle, the rolling force in the plastic deformation zone at the waist of the wave is determined by minimizing the second total power functional.

[0135] Similar to S12 above, the rolling force in the plastic deformation zone at the waist of the wave is determined by minimizing the second total power functional with the neutral angle as the variable, obtaining the neutral angle corresponding to the minimum of the second total power functional, and then combining the neutral angle to determine the rolling force in the plastic deformation zone at the waist of the wave.

[0136] Specifically, S14 above includes the following S141 to S143:

[0137] S141, determine the neutral angle corresponding to the minimum of the second total power functional.

[0138] Specifically, the above S141 can be represented by the following formulas (18) and (19).

[0139] Place ,get:

[0140] (18);

[0141] Place ,get:

[0142] (19);

[0143] Solving equations (18) and (19) yields the neutral angle corresponding to the minimum of the second total power functional, denoted as the minimum second upper neutral angle. and the smallest second lower neutral angle .

[0144] S142, determine the roll torque at the wave waist based on the neutral angle corresponding to the minimum of the second total power functional and the rolling parameters of the longitudinal wave rolling equipment.

[0145] The above-mentioned S142 refers to the fact that after obtaining the neutral angle corresponding to the minimum of the second total power functional, the roll torque at the waist of the wave can be calculated through the neutral angle and related parameters.

[0146] Specifically, the roll torque at the waist of the wave is expressed by the following formulas (20) and (21):

[0147] (20);

[0148] (twenty one);

[0149] in, This indicates the torque applied to the upper roller at the waist of the wave. The torque of the lower roll at the waist of the wave is represented by ; m is the friction factor between the workpiece and the roll; k is the yield shear stress. , This represents the deformation resistance of the slab.

[0150] S143, determine the rolling force in the plastic deformation zone at the waist of the wave based on the roll torque and lever arm coefficient at the waist of the wave.

[0151] Specifically, the rolling force in the plastic deformation zone at the waist of the wave can be expressed by the following formula (22) or (23).

[0152] (twenty two);

[0153] (twenty three);

[0154] in, The rolling force is the plastic deformation zone at the waist of the wave. The lever arm coefficient of the upper roll at the waist of the wave; This is the lever arm coefficient of the lower roll at the waist of the wave; and These refer to the torques of the upper and lower rolls at the waist of the longitudinal wave rolling mill.

[0155] S102, determine the total rolling force of the plastic deformation zone of the longitudinal wave rolling mill based on the rolling force of the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill.

[0156] The purpose of S102 above is to obtain the total rolling force of the plastic deformation zone of the longitudinal wave rolling equipment by superimposing the rolling forces of the plastic deformation zone at the trough and the waist of the wave. Specifically, S102 above can be expressed by the following formula (24).

[0157] (twenty four);

[0158] in, The total rolling force; The rolling force is the plastic deformation zone at the trough. is the rolling force in the plastic deformation zone at the waist of the wave; b is the entrance width of the plastic deformation zone.

[0159] During the experiment, following the process specifications for longitudinal wave rolling of high-load-bearing metal sheets, the inlet thickness of the plastic deformation zone was set to H = 0.004 m, the outlet thickness to h = 0.0028 m, and the inlet width to b = 0.06 m. The rotational angular velocity of the upper and lower rolls was also set. rad / s, friction factor between the roll and the workpiece m=0.8, equation for the radius from the roll surface to the center of the circle. ,in The final calculation unit is mm, for the deformation resistance of the sheet metal. 77.4 MPa, lever arm coefficient of the upper roll at the waist of the wave. And the lever arm coefficient of the upper roll at the trough A value of 0.5 was used for rolling force calculation, and the result was compared with the final measured rolling force as follows: Figure 6 As shown, Figure 6 A comparison diagram of measured rolling force and calculated rolling force provided for embodiments of this application.

[0160] Figure 6 Curve 1 in the figure represents the measured rolling force, and curve 2 represents the calculated rolling force obtained by this method. By comparing the difference between the measured rolling force and the calculated rolling force, it can be seen that the error is within 5%.

[0161] Therefore, the rolling force calculation method for longitudinal wave rolling of metal sheets provided in this application can accurately calculate the total rolling force of the plastic deformation zone by dividing the roll surface of the longitudinal wave rolling device into two parts, the waist and the trough, and calculating the rolling force of the corresponding plastic deformation zone in combination with the neutral angle. Moreover, the calculation process is simple, and the rolling force can be calculated by combining the corresponding longitudinal wave rolling parameters. There is no need to perform numerical simulation for different working conditions, which is conducive to improving calculation efficiency.

[0162] This application also provides a rolling force calculation device for longitudinal wave rolling of metal sheets. Please refer to... Figure 7 , Figure 7 A structural diagram of the rolling force calculation device for longitudinal wave rolling of metal sheet provided in this application embodiment.

[0163] like Figure 7 As shown, the rolling force calculation device for longitudinal wave rolling of metal sheets includes:

[0164] The zoned rolling force calculation unit 701 is used to determine the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling equipment based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle of the longitudinal wave rolling process.

[0165] The total rolling force calculation unit 702 is used to determine the total rolling force of the plastic deformation zone of the longitudinal wave rolling mill based on the rolling force of the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill.

[0166] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill includes: determining a first total power functional corresponding to different neutral angles at the trough of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill; determining the rolling force in the plastic deformation zone at the trough by minimizing the first total power functional based on the neutral angle; determining a second total power functional corresponding to different neutral angles at the waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the waist by minimizing the second total power functional based on the neutral angle.

[0167] In one optional embodiment of this application, the determination of the first total power functional corresponding to different neutral angles at the troughs of the longitudinal wave rolling mill, based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill, is expressed by the following formula:

[0168] ;

[0169] ;

[0170] ;

[0171] ;

[0172] in, This represents the first internal deformation power in the plastic deformation zone at the trough. This represents the first shear power in the plastic deformation zone at the trough. This represents the first frictional power in the plastic deformation zone at the trough. Let be the first total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; This represents the rotational speed of the lower roll corresponding to the trough of the roll wave. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface. and These are the upper and lower neutral angles at the troughs of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, 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. H 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; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. This represents the rotational speed of the upper roll corresponding to the trough of the roll wave.

[0173] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the trough based on the neutral angle and by minimizing the first total power functional includes: determining the neutral angle corresponding to the minimum of the first total power functional; determining the roll torque at the trough based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the trough based on the roll torque and lever arm coefficient at the trough.

[0174] In one optional embodiment of this application, the determination of the roll torque at the trough based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling mill is determined by the following formula:

[0175] ;

[0176] ;

[0177] in, and , respectively, represent the torques of the upper and lower rolls at the troughs of the longitudinal wave rolling mill; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; A is the wave amplitude on the roll surface; 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. The upper neutral angle at the roll trough when the first total power functional is at its minimum; The lower neutral angle at the trough of the roll when the first total power functional is at its minimum.

[0178] In one optional embodiment of this application, the determination of the second total power functional corresponding to different neutral angles at the wave waist of the longitudinal wave rolling mill based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill is expressed by the following formula:

[0179] ;

[0180] ;

[0181] ;

[0182] ;

[0183] in, This represents the second internal deformation power in the plastic deformation zone at the waist of the wave. This represents the second shear power in the plastic deformation zone at the waist of the wave. This represents the second frictional power in the plastic deformation zone at the waist of the wave. is the second total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; The rotational speed of the lower roll corresponding to the waist of the roll wave; R is the exit thickness of the plastic deformation zone; R is the average radius of the roll. and These are the upper and lower neutral angles at the waist of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, It is the angle between the line connecting 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 rolls. H is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll and the center of the lower roll, and the line connecting the centers of the rolls; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. The rotational speed of the upper roll corresponding to the waist of the roll wave; The angle between the line connecting 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 rolls. ,or The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls. At the waist of the wave .

[0184] In one optional embodiment of this application, determining the rolling force in the plastic deformation zone at the waist of the wave based on the neutral angle and minimizing the second total power functional includes: determining the neutral angle corresponding to the minimum of the second total power functional; determining the roll torque at the waist of the wave based on the neutral angle corresponding to the minimum of the second total power functional and the rolling parameters of the longitudinal wave rolling mill; and determining the rolling force in the plastic deformation zone at the waist of the wave based on the roll torque and lever arm coefficient at the waist of the wave.

[0185] In one optional embodiment of this application, the roll torque at the waist of the wave is determined by the following formula:

[0186] ;

[0187] ;

[0188] in, and represents the torque of the upper and lower rolls at the waist of the longitudinal wave rolling mill, respectively; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; It is the angle between the line connecting 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 rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls; This represents the upper neutral angle at the waist of the roll wave when the second total power functional is at its minimum; This represents the lower neutral angle at the waist of the roll wave when the second total power functional is at its minimum.

[0189] In one optional embodiment of this application, the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill is determined by the following formula:

[0190] ;

[0191] or,

[0192] ;

[0193] in, The rolling force is the plastic deformation zone at the trough. This is the lever arm coefficient of the upper roll at the trough; This is the lever arm coefficient of the lower roll at the trough; and These represent the torques of the upper and lower rolls at the trough of the longitudinal wave rolling mill; H is the entrance thickness of the plastic deformation zone. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface.

[0194] The rolling force in the plastic deformation zone at the waist of the longitudinal wave rolling mill is determined by the following formula:

[0195] ;

[0196] or,

[0197] ;

[0198] in, The rolling force is the plastic deformation zone at the waist of the wave. The lever arm coefficient of the upper roll at the waist of the wave; This is the lever arm coefficient of the lower roll at the waist of the wave; and These refer to the torques of the upper and lower rolls at the waist of the longitudinal wave rolling mill.

[0199] In one optional embodiment of this application, the determination of the total rolling force in the plastic deformation zone of the longitudinal wave rolling mill, based on the rolling force in the plastic deformation zone at the trough and waist of the wave, is achieved by the following formula:

[0200] ;

[0201] in, The total rolling force; The rolling force is the plastic deformation zone at the trough. is the rolling force in the plastic deformation zone at the waist of the wave; b is the entrance width of the plastic deformation zone.

[0202] 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.

[0203] This application also provides an electronic device, such as... Figure 8 As shown, Figure 8 This is a schematic diagram of an electronic device structure provided in an embodiment of this application.

[0204] like Figure 8 As shown, the electronic device includes:

[0205] Processor 210;

[0206] Memory 200 for storing executable instructions of the processor 210;

[0207] The processor 210 is used to execute the rolling force calculation method for longitudinal wave rolling of metal sheet disclosed in any of the above embodiments by running instructions in the memory 200.

[0208] The processor 210, memory 200, communication interface 220, input device 230, and output device 240 are interconnected via a bus. Among them:

[0209] A bus can include a pathway for transmitting information between various components of a computer system.

[0210] Processor 210 can 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 can also be a digital signal processor (DSP), an application-specific integrated circuit (ASIC), an off-the-shelf programmable gate array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components.

[0211] Processor 210 may include a main processor, as well as a baseband chip, modem, etc.

[0212] 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.

[0213] Input device 230 may include a device for receiving user input data and information, such as a keyboard, mouse, camera, scanner, touch screen, etc.

[0214] Output device 240 may include devices that allow information to be output to a user, such as a display screen, printer, speaker, etc.

[0215] The communication interface 220 may include a device that uses any transceiver to communicate with other devices or communication networks, such as Ethernet, Radio Access Network (RAN), Wireless Local Area Network (WLAN), etc.

[0216] The processor 210 executes the program stored in the memory 200 and calls other devices, and can be used to implement each step of the rolling force calculation method for longitudinal wave rolling of metal sheet provided in the above embodiments of this application.

[0217] In addition to the methods and apparatus described above, embodiments of this application may also be computer program products, which include computer program instructions that, when executed by a processor, cause the processor to perform the steps in the rolling force calculation method for longitudinal wave rolling of metal sheet according to various embodiments of this application.

[0218] The computer program product can be written in any combination of one or more programming languages ​​to perform the operations of the embodiments of this application. The programming languages ​​include object-oriented programming languages ​​such as Java and C++, as well as conventional procedural programming languages ​​such as C or similar languages. The program code can be executed entirely on the user's computing device, partially on the user's computing device, as a standalone software package, partially on the user's computing device and partially on a remote computing device, or entirely on a remote computing device or server.

[0219] Furthermore, embodiments of this application may also be storage media storing computer programs, which are executed by a processor using the steps of the rolling force calculation method for longitudinal wave rolling of metal sheets according to various embodiments of this application.

[0220] For the foregoing method embodiments, in order to simplify the description, they are all described as a series of actions. However, those skilled in the art should understand that this application is not limited to the described order of actions, because according to this application, some steps can be performed in other orders or simultaneously. Furthermore, those skilled in the art should also understand that the embodiments described in the specification are all preferred embodiments, and the actions and modules involved are not necessarily essential to this application.

[0221] It should be noted that the various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For apparatus embodiments, since they are basically similar to method embodiments, the description is relatively simple; relevant parts can be referred to the descriptions in the method embodiments.

[0222] The steps in the methods of the various embodiments of this application can be adjusted, merged, or deleted in order according to actual needs, and the technical features described in each embodiment can be replaced or combined.

[0223] The modules and sub-modules in the apparatus and terminal in the various embodiments of this application can be merged, divided, and deleted according to actual needs.

[0224] It should be understood that the disclosed terminals, devices, and methods can be implemented in other ways, given the several embodiments provided in this application. For example, the terminal embodiments described above are merely illustrative. For instance, the division of modules or sub-modules is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple sub-modules or modules may be combined or integrated into another module, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be indirect coupling or communication connection through some interfaces, devices, or modules, and may be electrical, mechanical, or other forms.

[0225] The modules or submodules described as separate components may or may not be physically separate. The components that constitute a module or submodule may or may not be physical modules or submodules; that is, they may be located in one place or distributed across multiple network modules or submodules. Some or all of the modules or submodules can be selected to achieve the purpose of this embodiment's solution, depending on actual needs.

[0226] Furthermore, the functional modules or sub-modules in the various embodiments of this application can be integrated into one processing module, or each module or sub-module can exist physically separately, or two or more modules or sub-modules can be integrated into one module. The integrated modules or sub-modules described above can be implemented in hardware or in the form of software functional modules or sub-modules.

[0227] Those skilled in the art will further recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of both. To clearly illustrate the interchangeability of hardware and software, the components and steps of the various examples have been generally described in terms of functionality in the foregoing description. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0228] The steps of the methods or algorithms described in conjunction with the embodiments disclosed herein can be implemented directly by hardware, a software unit executed by a processor, or a combination of both. The software unit can be located in random access memory (RAM), main memory, read-only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other form of storage medium known in the art.

[0229] 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.

[0230] The above description of the disclosed embodiments enables those skilled in the art to make or use this application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for calculating the rolling force in longitudinal wave rolling of metal sheets, characterized in that, include: Based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle of the longitudinal wave rolling process, the rolling force in the plastic deformation zone at the trough and waist of the longitudinal wave rolling mill is determined respectively. The total rolling force in the plastic deformation zone of the longitudinal wave rolling mill is determined based on the rolling force in the plastic deformation zone at the trough and waist of the wave. The rolling forces at the troughs and waists of the longitudinal wave rolling mill are determined based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle of the rolling process, including: Based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process of the longitudinal wave rolling equipment, the first total power functional corresponding to different neutral angles at the wave trough of the longitudinal wave rolling equipment is determined. Based on the neutral angle, the rolling force in the plastic deformation zone at the trough is determined by minimizing the first total power functional. Based on the rolling parameters of the longitudinal wave rolling equipment and the neutral angle during the rolling process of the longitudinal wave rolling equipment, the second total power functional corresponding to different neutral angles at the waist of the longitudinal wave rolling equipment is determined. Based on the neutral angle, the rolling force in the plastic deformation zone at the waist of the wave is determined by minimizing the second total power functional. The first total power functional corresponding to different neutral angles at the troughs of the longitudinal wave rolling mill is determined based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill, and is expressed by the following formula: ； ； ； ； in, This represents the first internal deformation power in the plastic deformation zone at the trough. This represents the first shear power in the plastic deformation zone at the trough. This represents the first frictional power in the plastic deformation zone at the trough. Let be the first total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; This represents the rotational speed of the lower roll corresponding to the trough of the roll wave. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface. and These are the upper and lower neutral angles at the troughs of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, 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. H 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; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. This represents the rotational speed of the upper roll corresponding to the trough of the roll wave; The second total power functional corresponding to different neutral angles at the wave waist of the longitudinal wave rolling mill is determined based on the rolling parameters of the longitudinal wave rolling mill and the neutral angle during the rolling process of the longitudinal wave rolling mill, and is expressed by the following formula: ； ； ； ； in, This represents the second internal deformation power in the plastic deformation zone at the waist of the wave. This represents the second shear power in the plastic deformation zone at the waist of the wave. This represents the second frictional power in the plastic deformation zone at the waist of the wave. is the second total power functional in the plastic deformation zone at the trough; k is the yield shear stress. , The deformation resistance of the slab; The rotational speed of the lower roll corresponding to the waist of the roll wave; R is the exit thickness of the plastic deformation zone; R is the average radius of the roll. and These are the upper and lower neutral angles at the waist of the roll, respectively, and are constants that vary with rolling process parameters. , ,in, It is the angle between the line connecting 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 rolls. H is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll and the center of the lower roll, and the line connecting the centers of the rolls; H is the inlet thickness of the plastic deformation zone; m is the friction factor between the workpiece and the roll. The rotational speed of the upper roll corresponding to the waist of the roll wave; The angle between the line connecting 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 rolls. ,or The angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls. At the waist of the wave ; The total rolling force in the plastic deformation zone of the longitudinal wave rolling mill is determined based on the rolling force in the plastic deformation zone at the trough and waist of the wave, using the following formula: ； in, The total rolling force; The rolling force is the plastic deformation zone at the trough. is the rolling force in the plastic deformation zone at the waist of the wave; b is the entrance width of the plastic deformation zone.

2. The method for calculating rolling force in longitudinal wave rolling of metal sheets according to claim 1, characterized in that, The determination of the rolling force in the plastic deformation zone at the trough, based on the neutral angle and using the method of minimizing the first total power functional, includes: Determine the neutral angle corresponding to the minimum of the first total power functional; The roll torque at the trough is determined based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling equipment. The rolling force in the plastic deformation zone at the trough is determined based on the roll torque and lever arm coefficient at the trough.

3. The method for calculating the rolling force in longitudinal wave rolling of metal sheets according to claim 2, characterized in that, The roll torque at the trough is determined by the following formula based on the neutral angle corresponding to the minimum of the first total power functional and the rolling parameters of the longitudinal wave rolling equipment: ； ； in, and , respectively, represent the torques of the upper and lower rolls at the troughs of the longitudinal wave rolling mill; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; A is the wave amplitude on the roll surface; 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. The upper neutral angle at the roll trough when the first total power functional is at its minimum; The lower neutral angle at the trough of the roll when the first total power functional is at its minimum.

4. The method for calculating the rolling force in longitudinal wave rolling of metal sheets according to claim 1, characterized in that, The determination of the rolling force in the plastic deformation zone at the wave waist based on the neutral angle and using the method of minimizing the second total power functional includes: Determine the neutral angle corresponding to the minimum of the second total power functional; The roll torque at the wave waist is determined based on the neutral angle corresponding to the minimum of the second total power functional and the rolling parameters of the longitudinal wave rolling equipment. The rolling force in the plastic deformation zone at the waist of the wave is determined based on the roll torque and lever arm coefficient at the waist of the wave.

5. The method for calculating the rolling force in longitudinal wave rolling of metal sheets according to claim 4, characterized in that, The roll torque at the waist of the wave is determined by the following formula: ； ； in, and represents the torque of the upper and lower rolls at the waist of the longitudinal wave rolling mill, respectively; m is the friction factor between the workpiece and the rolls; k is the yield shear stress; R is the average radius of the rolls; It is the angle between the line connecting 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 rolls. It is the angle between the line connecting the lower inlet contact point of the plastic deformation zone at the waist of the roll during rolling and the line connecting the centers of the rolls; This represents the upper neutral angle at the waist of the roll wave when the second total power functional is at its minimum; This represents the lower neutral angle at the waist of the roll wave when the second total power functional is at its minimum.

6. The method for calculating the rolling force in longitudinal wave rolling of metal sheets according to claim 1, characterized in that, The rolling force in the plastic deformation zone at the trough of the longitudinal wave rolling mill is determined by the following formula: ； or, ； in, The rolling force is the plastic deformation zone at the trough. This is the lever arm coefficient of the upper roll at the trough; This is the lever arm coefficient of the lower roll at the trough; and These represent the torques of the upper and lower rolls at the trough of the longitudinal wave rolling mill; H is the entrance thickness of the plastic deformation zone. R is the exit thickness of the plastic deformation zone; R is the average radius of the roll; A is the corrugation amplitude on the roll surface. The rolling force in the plastic deformation zone at the waist of the longitudinal wave rolling mill is determined by the following formula: ； or, ； in, The rolling force is the plastic deformation zone at the waist of the wave. The lever arm coefficient of the upper roll at the waist of the wave; The lever arm coefficient of the lower roll at the waist of the wave; and These refer to the torques of the upper and lower rolls at the waist of the longitudinal wave rolling equipment.

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