CN114309162A - Roll shape design method for compensating insufficient upper roll rigidity during roll bending by using variable diameter - Google Patents
Roll shape design method for compensating insufficient upper roll rigidity during roll bending by using variable diameter Download PDFInfo
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- CN114309162A CN114309162A CN202111659738.5A CN202111659738A CN114309162A CN 114309162 A CN114309162 A CN 114309162A CN 202111659738 A CN202111659738 A CN 202111659738A CN 114309162 A CN114309162 A CN 114309162A
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- 238000013000 roll bending Methods 0.000 title claims abstract description 58
- 238000000034 method Methods 0.000 title claims abstract description 56
- 238000013461 design Methods 0.000 title claims abstract description 19
- 238000005452 bending Methods 0.000 claims abstract description 13
- 238000003825 pressing Methods 0.000 claims description 3
- 238000012545 processing Methods 0.000 abstract description 8
- 230000000694 effects Effects 0.000 abstract description 3
- 229910052751 metal Inorganic materials 0.000 abstract description 3
- 239000002184 metal Substances 0.000 abstract description 3
- 239000000463 material Substances 0.000 description 5
- 238000006243 chemical reaction Methods 0.000 description 2
- 238000009826 distribution Methods 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 229910000831 Steel Inorganic materials 0.000 description 1
- 230000004075 alteration Effects 0.000 description 1
- 229910052782 aluminium Inorganic materials 0.000 description 1
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
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- 238000010586 diagram Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
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- 239000010959 steel Substances 0.000 description 1
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Abstract
A roll shape design method for compensating insufficient upper roll rigidity during roll bending by utilizing variable diameter belongs to the technical field of metal plastic processing. The method for designing the roll shape with insufficient upper roll rigidity during the roll bending compensation by utilizing the reducing comprises the following steps: s1, calculating the uniform load borne by the upper roll in the roll bending process, S2, calculating the deflection curve of the upper roll, wherein the deflection curve of the upper roll consists of a left end deflection curve, a middle deflection curve and a right end deflection curve, and S3, taking one half of the deflection curve equation as a roll shape curve equation for compensating the bending deformation of the upper roll in the roll bending process. The roll shape design method utilizing the insufficient rigidity of the upper roll during the reducing compensation roll bending is used for designing the reducing upper roll, so that the upper roll can effectively control the stability of the process, improve the plastic forming effect and ensure the precision in the sheet processing and forming process while the upper roll is subjected to bending deformation.
Description
Technical Field
The invention relates to the technical field of metal plastic processing, in particular to a roll shape design method for compensating insufficient rigidity of an upper roll during roll bending by utilizing variable diameter.
Background
In the roll bending process, the mechanical structure of the three-roller roll bending equipment is the simplest, and the popularity of the three-roller roll bending equipment is the highest in each industry. The upper roll of the three-roll bending device is a working roll which can move in the vertical direction, and the two lower rolls are working rolls with adjustable horizontal distance. However, in the actual production process, the upper roller is subjected to a vertical upward reaction force applied by the sheet due to elastic bending with the sheet and a supporting force provided by the lower roller, so that the middle part of the upper roller is slightly bent upwards, the sheet after the roll bending is not uniform in deformation, and the forming precision of the sheet is affected.
At present, a roll bending process technology is a means widely applied to metal plastic processing, and in order to ensure that an upper roll of a three-roll bending device can effectively control the stability of the process and improve the plastic forming effect and the sheet processing precision while bending deformation occurs, a roll shape design method for realizing the compensation of the rigidity of the upper roll is urgently needed so as to improve the development and application space of the roll bending process technology.
Disclosure of Invention
In order to solve the technical problems in the prior art, the invention provides a roll shape design method for compensating insufficient rigidity of an upper roll during roll bending by utilizing reducing, which is used for designing the reducing upper roll, so that the upper roll can effectively control the stability of the process, improve the plastic forming effect and ensure the precision in the sheet processing and forming process while being subjected to bending deformation.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a design method for a roll shape with insufficient rigidity of an upper roll during roll bending by utilizing reducing compensation comprises the following steps:
s1, calculating uniform load q borne by the upper roll in the roll bending process;
q＝-Q；
wherein Q is the uniform load applied to the sheet in the roll bending process, and sigma ismThe yield strength of the plate, b the width of the plate, h the thickness of the plate and g the length of the plate;
s2, calculating the deflection curve of the upper roll;
the deflection curve of the upper roll consists of a left end deflection curve, a middle deflection curve and a right end deflection curve:
the deflection curve equation of the left end part of the upper roll is as follows:
the middle deflection curve equation of the upper roll is as follows:
the right end deflection curve equation of the upper roller is as follows:
wherein q is the uniform load applied by the upper roller in the roll bending process, a is the length of the left end part of the upper roller, c is the length of the middle part of the upper roller, l is the total length of the upper roller, E is the elastic modulus of the upper roller, I is the section inertia moment of the upper roller, and x is a coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll shape curve equation for compensating the bending deformation of the upper roll in the roll bending process:
the left end part of the upper roll has a roll shape curve equation as follows:
the middle roll shape curve equation of the upper roll is as follows:
the right end part of the upper roller has a roller shape curve equation as follows:
furthermore, the upper roll designed by the roll shape design method utilizing insufficient rigidity of the upper roll during the reducing compensation roll bending is a reducing roll.
Furthermore, the difference value between the radius of the middle part of the upper roller and the radius of the end face of the upper roller is 5-10 mm.
Furthermore, the pressing amount of the upper roller is 1-10 mm.
The invention has the beneficial effects that:
1) according to the invention, by changing the distribution of the diameters of the upper rollers along the axial direction, the upper rollers with the diameter variable along the axial direction can be designed, the bending deformation of the upper rollers caused by insufficient rigidity in the roll bending forming process is compensated, and the roll bending forming precision of the plate is improved;
2) the invention adopts the diameter-changing method to solve the problems of uneven forming force borne by the plate and uneven diameter of the upper roller after roll bending caused by upward bending of the upper roller in the roll bending process, thereby improving the precision of plate forming in the roll bending process.
Additional features and advantages of the invention will be set forth in part in the detailed description which follows.
Drawings
FIG. 1 is a flow chart of a roll shape design method for compensating roll bending with variable diameter for insufficient upper roll stiffness according to the present invention;
FIG. 2 is a three-dimensional view of an upper roll designed using a roll shape design method of the present invention in which roll bending is compensated for lack of upper roll stiffness by reducing;
FIG. 3 is a two-dimensional view of an upper roll designed using a roll shape design method of the present invention in which roll bending is compensated for lack of upper roll stiffness by reducing;
FIG. 4 is a side view of an upper roll designed using a roll shape design method of the present invention that utilizes reduced diameter compensation for roll bending lack of upper roll stiffness;
fig. 5 is a schematic diagram of an upper roll shape curve designed by using a roll shape design method for reducing compensation roll bending with insufficient upper roll rigidity.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
In order to solve the problems in the prior art, as shown in fig. 1 to 5, the invention provides a roll shape design method for compensating insufficient rigidity of an upper roll during roll bending by using variable diameter, which is used for designing the upper roll and comprises the following steps:
s1, calculating uniform load q borne by the upper roll in the roll bending process;
q＝-Q；
wherein Q is the uniform load applied to the sheet in the roll bending process, and sigma ismThe yield strength of the plate, b the width of the plate, h the thickness of the plate and g the length of the plate;
specifically, because the upper roller is subjected to the reaction force of the plate material in the roll bending process, the uniformly distributed load Q borne by the upper roller is acted by the plate material, is equal to the uniformly distributed load Q borne by the plate material in magnitude and opposite in direction, and is calculated according to a formula
And calculating the uniformly distributed load on the sheet in the roll bending process, thus obtaining the uniformly distributed load q on the upper roll in the roll bending process.
S2, calculating the deflection curve of the upper roll;
the deflection curve of the upper roll consists of a left end deflection curve, a middle deflection curve and a right end deflection curve;
the deflection curve equation of the left end part of the upper roll is as follows:
the middle deflection curve equation of the upper roll is as follows:
the right end deflection curve equation of the upper roller is as follows:
wherein q is the uniform load applied by the upper roller in the roll bending process, a is the length of the left end part of the upper roller, c is the length of the middle part of the upper roller, l is the total length of the upper roller, E is the elastic modulus of the upper roller, I is the section inertia moment of the upper roller, and x is a coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll shape curve equation for compensating the bending deformation of the upper roll in the roll bending process:
the left end part of the upper roll has a roll shape curve equation:
the middle roll shape curve equation of the upper roll is as follows:
the right end deflection curve equation of the upper roller is as follows:
in the invention, the coefficient of the deflection curve equation is inversely proportional to the elastic modulus E of the upper roll and the section inertia moment I of the upper roll, and the coefficient of the deflection curve equation is proportional to the total length l of the upper roll, the uniform load q borne by the upper roll in the roll bending process, the length a of the left end part of the upper roll and the length c of the middle part of the upper roll.
The upper roll designed by the roll shape design method utilizing insufficient upper roll rigidity during reducing compensation roll bending is a reducing roll, and specifically, the roll shape curve of the reducing roll is divided into three sections: the two ends are in cubic polynomial roll shapes, the middle part is in cubic polynomial roll shapes, the diameter of the reducing roll changes along the axial direction of the upper roll, the roll shape curve of the reducing roll is a continuous curve with the middle part being high and the two ends being low, the technical problem that the middle part of the upper roll is bent upwards due to stress of the upper roll during roll bending is solved, deformation during bending of the upper roll is compensated by changing the distribution of the diameter of the upper roll along the axial direction in advance, and the problem of uneven forming force is avoided.
Specifically, the difference value between the radius of the middle part of the upper roller and the radius of the end face of the upper roller is 5-10 mm.
Specifically, the pressing amount of the upper roller is 1-10 mm.
Examples
The total length l of the upper roller is 10m, the diameters of two end surfaces of the upper roller are 0.1m, the length a of the left end part of the upper roller is 3m, the length c of the middle part of the upper roller is 4m, the material of the upper roller is 45 steel, and the elastic modulus E of the upper roller is 206 multiplied by 109Pa, the section moment of inertia I of the upper roller is 4.91 multiplied by 10-6m4The width b of the plate is 4m, the thickness h of the plate is 0.003m, the length of the plate is 4m, the material of the plate is 2212 aluminum, and the yield strength sigma of the plate ism＝250×106Pa, calculating a roller shape curve equation of the upper roller, and comprising the following steps:
s1, calculating uniform load q borne by the upper roll in the roll bending process;
q＝-Q＝187.5Nm；
the uniform load of 187.5Nm applied to the upper roll in the roll bending process can be obtained through calculation;
s2, calculating the deflection curve of the upper roll;
the deflection curve of the upper roll consists of a left end deflection curve, a middle deflection curve and a right end deflection curve;
the deflection curve equation of the left end part of the upper roll is as follows:
the middle deflection curve equation of the upper roll is as follows:
3<x<7m；
the right end deflection curve equation of the upper roller is as follows:
7≤x≤10m；
s3, taking one half of the deflection curve equation as a roll shape curve equation for compensating the bending deformation of the upper roll in the roll bending process:
the left end part of the upper roll has a roll shape curve equation:
the middle roll shape curve equation of the upper roll is as follows:
3<x<7m；
the right end part of the upper roll has a roll shape curve equation as follows:
7≤x≤10m。
the upper roll processed by the roll shape design method with insufficient upper roll rigidity during variable diameter compensation roll bending is installed on a three-roll bending device for sheet bending processing, and is suitable for processing sheets with the thickness of 2-5 mm and the width of 4-6 m.
While embodiments of the invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.
Claims (4)
1. A method for designing a roll shape by utilizing reducing compensation roll bending with insufficient upper roll rigidity is characterized by comprising the following steps:
s1, calculating uniform load q borne by the upper roll in the roll bending process;
q＝-Q；
wherein Q is the uniform load applied to the sheet in the roll bending process, and sigma ismThe yield strength of the plate, b the width of the plate, h the thickness of the plate and g the length of the plate;
s2, calculating the deflection curve of the upper roll;
the deflection curve of the upper roller consists of a left end deflection curve, a middle deflection curve and a right end deflection curve;
the deflection curve equation of the left end part of the upper roll is as follows:
the middle deflection curve equation of the upper roll is as follows:
the right end deflection curve equation of the upper roller is as follows:
wherein q is the uniform load applied by the upper roller in the roll bending process, a is the length of the left end part of the upper roller, c is the length of the middle part of the upper roller, l is the total length of the upper roller, E is the elastic modulus of the upper roller, I is the section inertia moment of the upper roller, and x is a coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll shape curve equation for compensating the bending deformation of the upper roll in the roll bending process:
the left end part of the upper roll has a roll shape curve equation as follows:
the middle roll shape curve equation of the upper roll is as follows:
the right end part of the upper roller has a roller shape curve equation as follows:
2. the method for designing the roll shape with the reduced diameter compensation roll bending function, which is not enough in the rigidity of the upper roll, according to claim 1, wherein the upper roll designed by the method for designing the roll shape with the reduced diameter compensation roll bending function is a reduced diameter roll.
3. The roll shape design method for compensating the insufficient rigidity of the upper roll during the roll bending by utilizing the variable diameter according to claim 2, wherein the difference value between the radius of the middle part of the upper roll and the radius of the end surface of the upper roll is 5-10 mm.
4. The roll shape design method for compensating the insufficient rigidity of the upper roll during the roll bending by utilizing the variable diameter according to claim 2, wherein the pressing amount of the upper roll is 1-10 mm.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117146670A (en) * | 2023-10-23 | 2023-12-01 | 沈阳机床股份有限公司 | Centering dipstick, design method of centering dipstick and use method of centering dipstick |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2565693B2 (en) * | 1985-11-06 | 1996-12-18 | ウイ−ン、ユナイテツド、インコ−ポレ−テツド | Rolling equipment |
| KR20010061651A (en) * | 1999-12-28 | 2001-07-07 | 이구택 | Mill modules compensation for roll diameter in plate mill |
| CN108941204A (en) * | 2018-06-04 | 2018-12-07 | 北京科技大学 | A kind of double tapered working roll and its roll contour design method |
| CN110688715A (en) * | 2019-09-19 | 2020-01-14 | 湖北工业大学 | Variable-crown roller type self-adaptive design method based on genetic algorithm |
| CN113319128A (en) * | 2021-06-15 | 2021-08-31 | 北京科技大学 | Variable contact working roll and roll shape design method thereof |
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2021
- 2021-12-30 CN CN202111659738.5A patent/CN114309162B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2565693B2 (en) * | 1985-11-06 | 1996-12-18 | ウイ−ン、ユナイテツド、インコ−ポレ−テツド | Rolling equipment |
| KR20010061651A (en) * | 1999-12-28 | 2001-07-07 | 이구택 | Mill modules compensation for roll diameter in plate mill |
| CN108941204A (en) * | 2018-06-04 | 2018-12-07 | 北京科技大学 | A kind of double tapered working roll and its roll contour design method |
| CN110688715A (en) * | 2019-09-19 | 2020-01-14 | 湖北工业大学 | Variable-crown roller type self-adaptive design method based on genetic algorithm |
| CN113319128A (en) * | 2021-06-15 | 2021-08-31 | 北京科技大学 | Variable contact working roll and roll shape design method thereof |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117146670A (en) * | 2023-10-23 | 2023-12-01 | 沈阳机床股份有限公司 | Centering dipstick, design method of centering dipstick and use method of centering dipstick |
| CN117146670B (en) * | 2023-10-23 | 2024-01-09 | 沈阳机床股份有限公司 | Centering dipstick, design method of centering dipstick and use method of centering dipstick |
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