阅读说明：本技术 基于分割累加的复杂异型截面环件轧制力计算方法 (Method for calculating rolling force of complex special-shaped section ring piece based on segmentation and accumulation ) 是由 兰箭 毛华杰 华林 钱东升 邓加东 于 2021-07-29 设计创作，主要内容包括：本发明公开了一种基于分割累加的复杂异型截面环件轧制力计算方法,先沿轴线方向将复杂异型截面环件分割成若干基本单元形状环件,基本单元形状环件分为两类,第一类基本单元形状环件的内外棱线的偏斜方向相同,第二类基本单元形状环件的内外棱线的偏斜方向相反,然后根据类别分别算出每个基本单元形状环件的轴向力和径向力,最后分别累加所有基本单元形状环件的轴向力和径向力,作为复杂异型截面环件在轧制过程中的整体径向力和轴向力。该方法能快速估算出任意复杂异型截面环件轧制过程中的整体径向力和轴向力,简单稳定,易于推广使用,能够用于给定环锻件设计可行性的评估,能够加快复杂异型截面环件轧制工艺开发速度。(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.)

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 ring_rIs 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 piece_aIs calculated as

Axial force F of second basic unit shape ring piece_aIs 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.

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 F_rIs 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 piece_aIs calculated as

Axial force F of second basic unit shape ring piece_aIs 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 F_ri＝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 F_aiWhen 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 side_ai＝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.