CN114309162B - Roll shape design method for compensating insufficient upper roll rigidity during roll bending by using reducing - Google Patents
Roll shape design method for compensating insufficient upper roll rigidity during roll bending by using reducing Download PDFInfo
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- 238000000034 method Methods 0.000 title claims abstract description 46
- 238000013461 design Methods 0.000 title claims abstract description 24
- 238000013000 roll bending Methods 0.000 title claims description 22
- 238000005096 rolling process Methods 0.000 claims abstract description 35
- 238000005452 bending Methods 0.000 claims abstract description 30
- 238000009827 uniform distribution Methods 0.000 claims description 6
- 238000003825 pressing Methods 0.000 claims description 3
- 238000012545 processing Methods 0.000 abstract description 6
- 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
- 238000006243 chemical reaction Methods 0.000 description 2
- 238000009826 distribution Methods 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000003754 machining Methods 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 229910000831 Steel Inorganic materials 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
- 238000011161 development Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 239000010959 steel Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
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Abstract
A roll shape design method for compensating insufficient rigidity of an upper roll during rolling by using reducing belongs to the technical field of metal plastic processing. The roll shape design method for compensating insufficient rigidity of the upper roll during rolling by using the reducing comprises the following steps: s1, calculating uniform load born by the upper roller in the rolling and bending process, S2, calculating a deflection curve of the upper roller, wherein the deflection curve of the upper roller 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 roller shape curve equation for compensating the bending deformation of the upper roller in the rolling and bending process. The roll shape design method for compensating insufficient rigidity of the upper roll during rolling by using the variable diameter is used for designing the variable diameter 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 plate processing and forming process while bending deformation occurs.
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 using reducing.
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 various industries. The upper roller of the three-roller rolling and bending equipment is a working roller which can move in the vertical direction, and the two lower rollers are working rollers with adjustable horizontal distance. However, in the actual production process, the upper roller is subjected to the vertical upward reaction force exerted by the plate due to the existence of elastic press bending with the plate, and the supporting force provided by the lower roller enables the middle part of the upper roller to be slightly bent and deformed upwards, so that the deformation of the plate after rolling bending is uneven, and the forming precision of the plate is affected.
At present, a roll bending process technology is a means widely applied to metal plastic processing, and in order to ensure that the upper roll of a three-roll bending device can effectively control the stability of the process, improve the plastic forming effect and the sheet processing precision while bending deformation occurs, a roll shape design method for realizing compensation of the rigidity of the upper roll is needed 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 using a variable diameter, which is used for designing the variable diameter upper roll, so that the upper roll can effectively control the stability of a process, improve the plastic forming effect and ensure the precision in the plate material processing and forming process while bending deformation occurs.
In order to achieve the above object, the technical scheme of the present invention is as follows:
a roll shape design method for compensating insufficient rigidity of an upper roll during rolling by using reducing comprises the following steps:
s1, calculating uniform load q of the upper roller in the rolling process;
q＝-Q；
wherein Q is the uniform distribution load, sigma, of the plate in the rolling and bending process m The yield strength of the plate is that b is the width of the plate, h is the thickness of the plate, and g is the length of the plate;
s2, calculating a deflection curve of the upper roller;
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 left end deflection curve equation of the upper roller is as follows:
the middle deflection curve equation of the upper roller is as follows:
the deflection curve equation of the right end part of the upper roller is as follows:
wherein q is the uniformly distributed load applied to the upper roller in the rolling and 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 moment of inertia of the upper roller, and x is the coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll curve equation for compensating bending deformation of the upper roll in the rolling process:
the roll form curve equation of the left end part of the upper roll is as follows:
the curve equation of the middle roller shape of the upper roller is as follows:
the roll form curve equation of the right end part of the upper roll is as follows:
further, the upper roller designed by the roller shape design method which utilizes the insufficient rigidity of the upper roller during reducing compensation rolling is a reducing roller.
Further, the difference between the radius of the middle part of the upper roller and the radius of the end surface of the upper roller is 5-10 mm.
Further, 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 variable diameters 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 precision of the roll bending forming of the plate is improved;
2) The invention adopts the diameter-changing method to solve the problem that the upper roller is uneven in forming force caused by upward bending in the rolling and bending process, and the diameter of the upper roller is uneven after rolling and bending, thereby improving the forming precision of the plate in the rolling and 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 for insufficient upper roll stiffness during roll bending using reducing;
FIG. 2 is a three-dimensional view of an upper roll designed by a roll shape design method utilizing a reducing to compensate for insufficient rigidity of the upper roll during roll bending in accordance with the present invention;
FIG. 3 is a two-dimensional view of an upper roll designed by a roll shape design method utilizing a reducing to compensate for insufficient stiffness of the upper roll during roll bending in accordance with the present invention;
FIG. 4 is a side view of an upper roll designed using a roll shape design method of the present invention that compensates for insufficient stiffness of the upper roll during roll bending with variable diameter;
fig. 5 is a schematic diagram of a roll shape curve of an upper roll designed by a roll shape design method for compensating insufficient rigidity of the upper roll during roll bending by using reducing according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all embodiments of the invention.
In order to solve the problems in the prior art, as shown in fig. 1 to 5, the present invention provides a roll shape design method for compensating insufficient rigidity of an upper roll during roll bending by using a reducing, which is used for designing the upper roll, and comprises the following steps:
s1, calculating uniform load q of the upper roller in the rolling process;
q＝-Q；
wherein Q is the uniform distribution load of the plate in the rolling and bending process，σ m The yield strength of the plate is that b is the width of the plate, h is the thickness of the plate, and g is the length of the plate;
specifically, because the upper roller receives the reaction force of the plate in the rolling and bending process, the uniform distribution load Q received by the upper roller is acted by the plate and is equal to the uniform distribution load Q received by the plate in size and opposite in direction, and the uniform distribution load Q is calculated according to the formulaAnd calculating the uniform load born by the plate in the rolling process, and obtaining the uniform load q born by the upper roller in the rolling process.
S2, calculating a deflection curve of the upper roller;
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 left end deflection curve equation of the upper roller is:
the middle deflection curve equation of the upper roller is:
the right end deflection curve equation of the upper roller is:
wherein q is the uniformly distributed load applied to the upper roller in the rolling and 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 moment of inertia of the upper roller, and x is the coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll curve equation for compensating bending deformation of the upper roll in the rolling process:
the roll form curve equation of the left end part of the upper roll is as follows:
the curve equation of the middle roller shape of the upper roller is as follows:
the right end deflection curve equation of the upper roller is:
in the invention, the coefficient of the deflection curve equation is inversely proportional to the elastic modulus E of the upper roller and the section moment of inertia I of the upper roller, and the coefficient of the deflection curve equation is directly proportional to the total length l of the upper roller, the uniform load q of the upper roller during the rolling and bending process, the length a of the left end part of the upper roller and the length c of the middle part of the upper roller.
The invention designs an upper roller by using a roller shape design method of insufficient rigidity of the upper roller during reducing compensation rolling and bending, and particularly, the roller shape curve of the reducing roller is divided into three sections: the two ends are of a cubic polynomial roll shape, the middle part is of a four-time polynomial roll shape, the diameter of the reducing roll is changed along the axial direction of the upper roll, the roll shape curve of the reducing roll is a continuous curve with high middle parts and low two ends, the technical problem that the middle part of the upper roll is bent upwards due to stress when the upper roll is rolled is solved, the deformation of the upper roll during bending 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 between the radius of the middle part of the upper roller and the radius of the end surface 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, and the length of the middle part of the upper roller isThe degree c is 4m, the upper roller is made of 45 steel, and the elastic modulus E of the upper roller is 206 multiplied by 10 9 Pa, the cross-sectional moment of inertia I of the upper roll is 4.91×10 -6 m 4 The 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 is equal to that of the plate m ＝250×10 6 Pa, calculating a roll shape curve equation of the upper roll, including the following steps:
s1, calculating uniform load q of the upper roller in the rolling process;
q＝-Q＝187.5N/m；
the uniformly distributed load of 187.5N/m on the upper roller in the rolling and bending process can be obtained through calculation;
s2, calculating a deflection curve of the upper roller;
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 left end deflection curve equation of the upper roller is:
the middle deflection curve equation of the upper roller is:
3＜x＜7m；
the right end deflection curve equation of the upper roller is:
7≤x≤10m；
s3, taking one half of the deflection curve equation as a roll curve equation for compensating bending deformation of the upper roll in the rolling process:
the roll form curve equation of the left end part of the upper roll is as follows:
the curve equation of the middle roller shape of the upper roller is as follows:
3＜x＜7m；
the right end roll shape curve equation of the upper roll is:
7≤x≤10m。
the upper roller machined by the roller shape design method for reducing compensation of insufficient rigidity of the upper roller in rolling is suitable for machining the plate with the thickness of 2-5 mm and the width of 4-6 m when the upper roller is installed on three-roller rolling equipment to perform plate bending machining.
While embodiments of the present invention have been shown and described, it will be understood by those of ordinary skill in the art that: many changes, modifications, substitutions and variations may be made to the embodiments without departing from the spirit and principles of the invention, the scope of which is defined by the claims and their equivalents.
Claims (4)
1. A roll shape design method for compensating insufficient rigidity of an upper roll during rolling by using reducing is characterized by comprising the following steps:
s1, calculating uniform load q of the upper roller in the rolling process;
q＝-Q；
wherein Q is the uniform distribution load, sigma, of the plate in the rolling and bending process m The yield strength of the plate is that b is the width of the plate, h is the thickness of the plate, and g is the length of the plate;
s2, calculating a deflection curve of the upper roller;
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 left end deflection curve equation of the upper roller is as follows:
the middle deflection curve equation of the upper roller is as follows:
the deflection curve equation of the right end part of the upper roller is as follows:
wherein q is the uniformly distributed load applied to the upper roller in the rolling and 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 moment of inertia of the upper roller, and x is the coordinate value along the length direction of the upper roller;
s3, taking one half of the deflection curve equation as a roll curve equation for compensating bending deformation of the upper roll in the rolling process:
the roll form curve equation of the left end part of the upper roll is as follows:
the curve equation of the middle roller shape of the upper roller is as follows:
the roll form curve equation of the right end part of the upper roll is as follows:
2. the roll shape design method for compensating for insufficient rigidity of an upper roll during roll bending by reducing according to claim 1, wherein the upper roll designed by the roll shape design method for compensating for insufficient rigidity of an upper roll during roll bending by reducing is a reducing roll.
3. The roll shape design method for compensating insufficient rigidity of the upper roll during roll bending by using reducing as set forth in claim 2, wherein the difference 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 for insufficient rigidity of the upper roll in roll bending by using reducing as set forth in claim 2, wherein the pressing amount of the upper roll is 1 to 10mm.
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| Application Number | Priority Date | Filing Date | Title |
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| CN202111659738.5A CN114309162B (en) | 2021-12-30 | 2021-12-30 | Roll shape design method for compensating insufficient upper roll rigidity during roll bending by using reducing |
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| CN114309162B true CN114309162B (en) | 2024-04-09 |
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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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- 2021-12-30 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 |
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