CN113579129A - Method for calculating rolling force of complex special-shaped section ring piece based on segmentation and accumulation - Google Patents
Method for calculating rolling force of complex special-shaped section ring piece based on segmentation and accumulation Download PDFInfo
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- CN113579129A CN113579129A CN202110861753.1A CN202110861753A CN113579129A CN 113579129 A CN113579129 A CN 113579129A CN 202110861753 A CN202110861753 A CN 202110861753A CN 113579129 A CN113579129 A CN 113579129A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21H—MAKING PARTICULAR METAL OBJECTS BY ROLLING, e.g. SCREWS, WHEELS, RINGS, BARRELS, BALLS
- B21H1/00—Making articles shaped as bodies of revolution
- B21H1/06—Making articles shaped as bodies of revolution rings of restricted axial length
Abstract
The invention discloses a method for calculating the rolling force of a complex special-shaped cross-section ring piece based on segmentation and accumulation, which comprises the steps of segmenting the complex special-shaped cross-section ring piece into a plurality of basic unit-shaped ring pieces along the axis direction, dividing the basic unit-shaped ring pieces into two types, wherein the deflection directions of inner and outer edge lines of the first type of basic unit-shaped ring piece are the same, the deflection directions of inner and outer edge lines of the second type of basic unit-shaped ring piece are opposite, calculating the axial force and the radial force of each basic unit-shaped ring piece according to the type, and finally accumulating the axial force and the radial force of all the basic unit-shaped ring pieces respectively to serve as the integral radial force and the axial force of the complex special-shaped cross-section ring piece in the rolling process. The method can quickly estimate the integral radial force and the axial force in the rolling process of any complex special-shaped cross-section ring piece, is simple and stable, is easy to popularize and use, can be used for estimating the design feasibility of a given ring forging piece, and can accelerate the development speed of the rolling process of the complex special-shaped cross-section ring piece.
Description
Technical Field
The invention belongs to the field of rolling, and particularly relates to a method for calculating the rolling force of a complex special-shaped section ring piece based on segmentation accumulation.
Background
The ring piece is widely used in various aerospace, energy chemical industry and other national defense and civil industry, and along with the increasing and complex cross-sectional shapes of the ring piece, the requirements of higher stability, quicker response and wider adaptability are provided for the rolling production of the ring piece. At present, the radial force required by rolling production of a complex abnormal-shaped cross-section ring piece is difficult to estimate, and the axial force cannot be estimated, so that the rolling process of the complex abnormal-shaped cross-section ring piece is difficult to popularize, a ring forging piece with a larger volume is usually rolled by a rectangular cross-section ring piece with an enveloped complex abnormal-shaped cross section, and then a large amount of mechanical cutting is carried out to obtain the complex abnormal-shaped cross-section ring piece, so that the material utilization rate is low, and the manufacturing period is greatly prolonged.
Disclosure of Invention
The invention aims to provide a method for calculating the rolling force of a complex abnormal-shaped cross-section ring piece based on segmentation accumulation, which can quickly estimate the integral radial force and axial force in the rolling process of any complex abnormal-shaped cross-section ring piece, is simple and stable, is easy to popularize and use, can be used for evaluating the design feasibility of a given ring forging piece, and can accelerate the development speed of the rolling process of the complex abnormal-shaped cross-section ring piece.
The technical scheme adopted by the invention is as follows:
a method for calculating the rolling force of a complex special-shaped cross-section ring based on segmentation and accumulation comprises the steps of segmenting the complex special-shaped cross-section ring into a plurality of basic unit-shaped rings along the axis direction, dividing the basic unit-shaped rings into two types, calculating the axial force and the radial force of each basic unit-shaped ring according to the type, and accumulating the axial force and the radial force of all the basic unit-shaped rings to serve as the integral radial force and the axial force of the complex special-shaped cross-section ring in the rolling process, wherein the deflection directions of inner and outer edge lines of the first type of basic unit-shaped ring are the same, and the deflection directions of inner and outer edge lines of the second type of basic unit-shaped ring are opposite.
Further, the basic cell shape ring radial force FrIs calculated as
Wherein the content of the first and second substances,
k is the shear yield strength of the material of the ring, Δ h is the feed per revolution of the ring, z is the distance in the axial direction to the upper surface of the basic unit shape, z is the shear yield strength of the material of the ring, z is the shear yield strength of the material of the basic unit shape0Is the distance of the upper and lower surfaces of the basic unit shape, R1For the contact radius of the drive roller with the upper surface of the basic unit-shaped ring member, R2The radius of contact between the core roller and the upper surface of the ring member in the shape of a basic unit, r1Inner diameter of upper surface of ring member in basic unit shape h0Thickness of upper surface of ring member in basic unit shape, theta1The included angle theta between the edge line of the outer surface of the ring member in the basic unit shape and the axis2The included angle between the edge line of the inner surface of the ring piece and the axis is a basic unit shape, the bevel edge far away from the ring piece is a negative angle by taking the upper end surface of the section of the ring piece as a starting point, and the bevel edge close to the ring piece is a positive angle;
axial force F of first-type basic unit-shaped ring pieceaIs calculated as
Axial force F of second basic unit shape ring pieceaIs calculated as
Wherein R'1Is the drive roll radius at half height of the basic unit shaped ring member, R'2The radius of a core roller at the half-height of the basic unit-shaped ring piece, R 'is the outer radius at the half-height of the basic unit-shaped ring piece, R' is the inner radius at the half-height of the basic unit-shaped ring piece, and m is the friction factor of a contact surface of the die ring piece.
Further, if the complex special-shaped cross-section ring piece has a transition circular arc, the transition circular arc is replaced by a straight line before the complex special-shaped cross-section ring piece is divided.
The invention has the beneficial effects that:
the method can calculate the rolling force of any given complex special-shaped section ring piece, can quickly estimate the integral radial force and the axial force in the rolling process of the complex special-shaped section ring piece, is simple and stable, is easy to popularize and use, can be used for estimating the design feasibility of a given ring forging piece, and can accelerate the development speed of the rolling process of the complex special-shaped section ring piece.
Drawings
Fig. 1 is a schematic cross-sectional view of a first type of basic unit-shaped ring member.
Fig. 2 is a schematic cross-sectional view of a second type of basic unit-shaped ring member.
Fig. 3 is a schematic view of a complex profiled-section ring according to an embodiment of the present invention.
Fig. 4 is a schematic assembly diagram of the complex special-shaped section ring rolling in the embodiment of the invention.
FIG. 5 is a schematic sectional view of the complex special-shaped section ring member after being divided into a plurality of basic unit-shaped ring members in the embodiment of the invention.
In the figure: 1-a drive roller; 2-ring forging; 3-core roller.
Detailed Description
The invention is further described below with reference to the drawings and the examples.
1. Fig. 1 and fig. 2 respectively show schematic cross-sectional views of a first type basic unit-shaped ring piece and a second type basic unit-shaped ring piece, fig. 3 is a schematic cross-sectional view of a complex special-shaped ring piece in the present embodiment, an assembly relationship of a rolling process of the present embodiment is shown in fig. 4, main rolling parameters are shown in table 1, a shear yield strength k of industrial pure lead of a ring piece material is 6Mpa, and a feed amount Δ h of the ring piece per rotation is 0.4 mm/r.
TABLE 1 Main Rolling parameters
2. Because the complex special-shaped cross-section ring piece has the transition circular arc, the transition circular arc is replaced by a straight line before the complex special-shaped cross-section ring piece is divided into a plurality of basic unit-shaped ring pieces along the axis direction according to two basic unit shapes listed in figure 1, and 5 basic cross-section shape blocks shown in figure 5 are obtained, wherein the specific sizes of the 5 basic cross-section shape blocks are shown in the following table, wherein the block cross sections 2 and 3 are the first-type basic cross-section shapes, and the block cross sections 1, 4 and 5 are the second-type basic cross-section shapes.
TABLE 2 detailed dimensions of the basic Cross-sectional shape segments
3. Calculating the radial force of each basic unit-shaped ring member, and applying a formula to each basic unit-shaped ring member
Obtaining radial force of each basic unit-shaped ring member
Radial force of integral ring is RF ═ Sigma Fri＝4193.63(N)
4. Calculating the axial force of each basic unit-shaped ring member, and applying a formula to the basic unit- shaped ring members 2 and 3
Applying a formula to the basic unit shape ring members 1, 4, 5
Wherein the content of the first and second substances,
the axial force of the basic unit-shaped ring piece is obtained,
the axial force of the integral ring piece on the side of the driving roller is AF ═ Sigma FaiWhen the axial force of the integrated ring on the core roller side is AF ═ Σ F ═ 1037.45(N), the integrated ring is subjected to the axial force on the core roller sideai＝856.2(N)。
5. Through the steps, estimated values of the radial force and the axial force of the driving roller 1 and the core roller 3 are obtained respectively, so that a theoretical basis can be provided for the design feasibility of the ring forging 2. The axial force in this embodiment is about 25% of the radial force, and it can be deduced that the design feasibility of the ring forging 2 is not high considering that the rolling is relatively smooth when the proportion is kept below 10%.
It will be understood that modifications and variations can be made by persons skilled in the art in light of the above teachings and all such modifications and variations are intended to be included within the scope of the invention as defined in the appended claims.
Claims (3)
1. A method for calculating the rolling force of a complex abnormal-section ring piece based on segmentation accumulation is characterized by comprising the following steps of: the method comprises the steps of firstly dividing the complex irregular-section ring piece into a plurality of basic unit-shaped ring pieces along the axis direction, dividing the basic unit-shaped ring pieces into two types, wherein the deflection directions of inner and outer edge lines of the first type of basic unit-shaped ring piece are the same, the deflection directions of the inner and outer edge lines of the second type of basic unit-shaped ring piece are opposite, then respectively calculating the axial force and the radial force of each basic unit-shaped ring piece according to the type, and finally respectively accumulating the axial force and the radial force of all the basic unit-shaped ring pieces to serve as the integral radial force and the axial force of the complex irregular-section ring piece in the rolling process.
2. The method for calculating the rolling force of the complex irregular-section ring based on the segmentation and accumulation as claimed in claim 1, wherein: radial force F of basic unit-shaped ringrIs calculated as
Wherein the content of the first and second substances,
k is the shear yield strength of the material of the ring, Δ h is the feed per revolution of the ring, z is the distance in the axial direction to the upper surface of the basic unit shape, z is the shear yield strength of the material of the ring, z is the shear yield strength of the material of the basic unit shape0Is the distance of the upper and lower surfaces of the basic unit shape, R1For the contact radius of the drive roller with the upper surface of the basic unit-shaped ring member, R2The radius of contact between the core roller and the upper surface of the ring member in the shape of a basic unit, r1Inner diameter of upper surface of ring member in basic unit shape h0Thickness of upper surface of ring member in basic unit shape, theta1The included angle theta between the edge line of the outer surface of the ring member in the basic unit shape and the axis2The included angle between the edge line of the inner surface of the ring piece and the axis is a basic unit shape, the bevel edge far away from the ring piece is a negative angle by taking the upper end surface of the section of the ring piece as a starting point, and the bevel edge close to the ring piece is a positive angle;
axial force F of first-type basic unit-shaped ring pieceaIs calculated as
Axial force F of second basic unit shape ring pieceaIs calculated as
Wherein R'1Is the drive roll radius at half height of the basic unit shaped ring member, R'2The radius of a core roller at the half-height of the basic unit-shaped ring piece, R 'is the outer radius at the half-height of the basic unit-shaped ring piece, R' is the inner radius at the half-height of the basic unit-shaped ring piece, and m is the friction factor of a contact surface of the die ring piece.
3. The method for calculating the rolling force of the complex irregular-section ring based on the segmentation accumulation as claimed in claim 1 or 2, wherein: if the complex special-shaped cross-section ring piece has a transition circular arc, the transition circular arc is replaced by a straight line before the complex special-shaped cross-section ring piece is divided.
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Cited By (1)
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| CN116441466A (en) * | 2023-03-24 | 2023-07-18 | 江苏翔能科技发展有限公司 | Method for cooperatively determining size of complex conical ring piece forming process chain blank and die |
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