A method for two-way asymmetric spinning of a straight-ruling oblique elliptical groove cylindrical part
Patent Information
- Application Number
- CN202611188934.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-08-06
- Publication Date
- 2026-10-30
AI Technical Summary
[0004]针对上述现有技术的不足，本发明基于无模旋压的方式，提出了一种直纹倾斜椭圆凹槽筒形件的轴径双向非对称旋压方法，旨在满足产品预研、试制阶段异形件制造的小批量、急任务需求的同时，还可以解决筒形件中部非对称成形脱模难的问题，从而在根本上解决该类零件制造成本高、周期长、质量低的问题
本发明为带有独特直纹倾斜椭圆轮廓特征的筒形壳体零件，在预研试制阶段的特别需求提供了一种加工新方法。具体地，本发明方法采用无模旋压的方式，完全依靠旋轮在径向的进给和轴向的平移、旋轮旋转与被旋压筒形件的旋转运动相互配合进行旋压成形，是筒形件非对称旋压领域中一种新型的旋压方法，大大节省了制造仿形旋轮和芯模的工艺成本和时间，更加体现了旋压工艺高效节能的特点。本发明首次提出在筒形件上旋压成形直纹倾斜椭圆轮廓凹槽，为后续该类零件需求提供了加工的理论基础。通过本发明方法加工出的筒形状零件在航空航天、汽车及各类制造加工领域都具有潜在的应用价值。
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Abstract
Description
Technical Field
[0001] This invention relates to the field of asymmetric dieless spinning technology for metal cylindrical parts, and particularly to a bidirectional asymmetric spinning method for cylindrical parts with straight-lined inclined elliptical grooves. Background Technology
[0002] With the rapid development of the aerospace industry, the demand for lightweight equipment is becoming increasingly urgent. Cylindrical thin-walled shells, tubes, and caps, as core load-bearing structures of aircraft, are experiencing a surge in demand. These parts mostly fall under the category of rotating shells, and spinning technology, with its advantages of high efficiency, low loss, and low cost, has become the preferred processing method, achieving large-scale application in the production of aerospace thin-walled components. Currently, with the continuous iteration of aerodynamic and assembly designs, the shapes of components are no longer limited to standard axisymmetric structures; various irregularly shaped, asymmetric thin-walled parts are gradually becoming a research and development necessity.
[0003] For the asymmetric spinning forming process of the middle part of cylindrical components, Jia Zhen et al. used both contour spinning wheels and general spinning wheels to complete the forming modeling and processing experiments of saddle-shaped pipes and pipes with straight / obtuse angle notches. Existing processes can only be adapted to the processing of pipes with the above two types of contour structures. However, the asymmetric spinning scheme for cylindrical components based on contour spinning wheels has very obvious limitations. The forming contour is greatly constrained by the shape of the spinning wheel, making it impossible to process more complex asymmetric cylindrical components and failing to meet the production needs of complex irregular cylindrical components. To overcome the limitations of existing spinning wheel forming contours and make up for the processing shortcomings of traditional contour spinning processes, cylindrical components with straight-lined inclined elliptical contour grooves have emerged. Summary of the Invention
[0004] To address the shortcomings of the existing technologies, this invention proposes a bidirectional asymmetric spinning method for the shaft diameter of cylindrical parts with straight-lined inclined elliptical grooves, based on a moldless spinning technique. This method aims to meet the needs of small-batch, urgent tasks in the pre-research and trial production stages of irregularly shaped parts manufacturing, while also solving the problem of difficult demolding in the asymmetric forming of the middle of the cylindrical parts. This fundamentally solves the problems of high manufacturing cost, long cycle time, and low quality of such parts.
[0005] This invention proposes a bidirectional asymmetric spinning method for the shaft diameter of a cylindrical part with straight-lined inclined elliptical grooves. The method includes the following process: Obtain the geometric parameters of the pre-formed groove of the cylindrical part; Based on the geometric parameters of the preformed groove, the equation of the asymmetric spinning deformation path of the spinning wheel along the axial direction of the cylindrical part during the spinning process is solved, and the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part is established. Solve the trajectory equation of the spinning wheel along the radial feed of the cylindrical part during the spinning process, and establish the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section; Based on the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part, and the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section, the axial-radial bidirectional asymmetric spinning deformation path is determined. Write CNC code programs based on the shaft-radius bidirectional asymmetric spinning deformation path; Select a CNC spinning machine, clamp the cylindrical part to be spun between the cylindrical mandrel and the tail, and keep the pre-formed groove in a hollow state during clamping; install the universal spinning wheel on the spinning wheel frame perpendicular to the spindle of the spinning machine, and keep the central axis of the universal spinning wheel parallel to the spindle of the cylindrical part to be spun; Input the written CNC code program into the CNC spinning machine, start the CNC spinning machine to process the spun cylindrical part, and obtain a cylindrical part with a pre-formed groove.
[0006] Furthermore, the preformed groove is a straight-lined inclined elliptical groove; the geometric parameters include: the semi-major axis, semi-minor axis and inclination angle of the ellipse.
[0007] Furthermore, the process of solving the asymmetric spinning deformation path equation of the spinning wheel along the axial direction of the cylindrical part during spinning, and establishing the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part, includes: Define the intersection point of the elliptical profile and the turning profile generatrix of the cylindrical blank as point . ; Using the cross-section of the preformed groove along the axial direction of the cylindrical part as the reference plane, and point... A Cartesian coordinate system is established on the reference plane with the origin as the coordinate origin; the X-axis of the Cartesian coordinate system is along the axial direction of the cylindrical part, and the Y-axis is along the radial direction of the cylindrical part. Based on the geometric parameters of the preformed groove, establish the rotation tilt angle. The equation of the elliptic curve; Based on the rotation tilt angle The elliptic curve equation is then used to establish the mapping relationship between the axial position of the wheel and the depth of the straight lines at any radial section of the cylindrical part.
[0008] Furthermore, the rotation tilt angle is established based on the geometric parameters of the pre-formed groove. The equations for the elliptic curves include: Based on the geometric parameters of the preformed groove, the contour equation of the original ellipse is established; the original ellipse is the normal cross-sectional ellipse of the preformed groove. According to the definition of a rotation matrix, the original ellipse is tilted counterclockwise by an angle. And establish the coordinate transformation relationship before and after rotation; Based on the coordinate transformation relationship before and after rotation and the original elliptical contour equation, the rotation tilt angle is established. The equation of the elliptic curve.
[0009] Furthermore, the mapping relationship between the axial position of the rotating wheel and the depth of the straight lines at any radial section of the cylindrical component is as follows: ; in, This indicates the depth of the straight lines at any radial section of a cylindrical component. Indicates the axial position of the spinning wheel; is the semi-major axis of the original ellipse; It is the semi-minor axis of the original ellipse.
[0010] Furthermore, the process of solving the trajectory equation of the spinning wheel's radial feed along the cylindrical part during spinning, and establishing the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial cross section, includes: Define the center of the radial section circle of the cylindrical component as point . The radius of the cylindrical component is The maximum angle occupied by the straight lines on any radial section is The center of the wheel is point . The radius of the wheel is The radial position of the rotating wheel is ; For any time Define the cylindrical component from the start time. arrive The rotation angle at time is The contact point between the rotating wheel and the straight-lined groove on the radial section is called a point. ; like Then the cylindrical part is in the undeformed stage; in the undeformed stage, the radial position of the wheel... This is a constant value; the constant value is the sum of the radius of the cylindrical component and the radius of the rotating wheel; like If the cylindrical part is in the deformation stage, then a mapping relationship is established between the maximum angle occupied by the straight lines on the same radial section and the depth of the straight lines. The center of the radial section circle of the cylindrical part is calculated in real time during the spinning process. With point The distance is calculated, and the radial position of the wheel is determined based on the law of cosines. .
[0011] Furthermore, the mapping relationship between the maximum angle occupied by the straight lines on the same radial cross section and the depth of the straight lines is established, and the center of the radial cross section circle of the cylindrical part is calculated in real time during the spinning process. With point The distance is calculated, and the radial position of the wheel is determined based on the law of cosines. ,include: The center of the circle passing through the radial section of the cylindrical component on the radial section. Furthermore, the vertically upward direction is used as the reference direction, defining the initial contact point between the rotating wheel and the deformation zone of the cylindrical component on a single radial section. The orthographic projection point in this reference direction is point . ,point The center of the radial section circle of the cylindrical part The distance is the difference between the radius of the cylindrical component and the depth of the straight lines; the initial contact point between the wheel and the deformation zone of the cylindrical component on a single radial cross section. The center of the radial cross-section circle of the cylindrical component With point The triangle formed In the middle, establish the maximum angle occupied by the straight lines on the same radial section. The mapping relationship with the depth of the ruling lines; ; During the spinning process, based on the cylindrical part from the starting moment... arrive Rotation angle at time Calculate the center of the radial cross-section circle of the cylindrical component. With point distance ; ; Based on the maximum angle occupied by the straight lines on the same radial cross section The mapping relationship with the depth of the straight lines is based on the center of the radial cross-section circle of the cylindrical part. With point distance Establish the center of the radial cross-section circle of the cylindrical component. The mapping relationship between the depth of the straight lines on the same radial section and the depth of the straight lines. ; Calculate the radial position of the wheel during the deformation stage using the law of cosines. ; .
[0012] Furthermore, the axis-radial bidirectional asymmetric spinning deformation path includes: the correspondence between the axial position of the spinning wheel, the radial position of the spinning wheel, and the rotation angle of the cylindrical part at any time during the spinning process.
[0013] The beneficial effects of adopting the above technical solution are as follows: This invention provides a novel processing method for cylindrical shell parts with unique ruled, inclined elliptical contours, addressing specific needs during the pre-research and trial production stage. Specifically, the method employs a moldless spinning process, relying entirely on the radial feed and axial translation of a spinning wheel, along with the rotation of the wheel and the rotation of the cylindrical part being spun, to achieve the spinning shape. This is a novel spinning method in the field of asymmetric spinning of cylindrical parts, significantly reducing the process costs and time associated with manufacturing contouring wheels and mandrels, further highlighting the high efficiency and energy-saving characteristics of spinning technology. This invention is the first to propose spinning ruled, inclined elliptical contour grooves onto cylindrical parts, providing a theoretical basis for the processing of such parts in the future. Cylindrical parts processed using this method have potential applications in aerospace, automotive, and various manufacturing fields. Attached Figure Description
[0014] Figure 1 This is a flowchart of a bidirectional asymmetric spinning method for the shaft diameter of a straight-lined inclined elliptical groove cylindrical part in this embodiment; Figure 2 This is a schematic diagram illustrating the derivation process of the asymmetric spinning deformation path equation in the axial direction in this embodiment; Figure 3 This is a schematic diagram of the radial motion trajectory of the rotating wheel in this embodiment; Figure 4 This is a schematic diagram of the installation of the spun cylindrical component in this embodiment; In the diagram: 1-Spinning wheel, 2-Spinned cylindrical part, 3-Mandrel, 4-Tail top. Detailed Implementation
[0015] To facilitate understanding of this application, specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings and embodiments. The following embodiments are illustrative of the invention but are not intended to limit its scope. Rather, these embodiments are provided to provide a more thorough and complete understanding of the disclosure of this application.
[0016] Example 1: This embodiment describes a bidirectional asymmetric spinning method for the shaft diameter of a straight-lined, inclined elliptical grooved cylindrical component, such as... Figure 1 As shown, the method includes the following steps: Obtain the geometric parameters of the pre-formed groove of the cylindrical part.
[0017] The preformed groove is a straight-lined inclined elliptical groove; the geometric parameters include: the semi-major axis, semi-minor axis and inclination angle of the ellipse.
[0018] Based on the geometric parameters of the preformed groove, the equation for the asymmetric spinning deformation path of the spinning wheel along the axial direction of the cylindrical part during the spinning process is solved, and the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part is established.
[0019] In this embodiment, the asymmetric spinning deformation path equation of the spinning wheel along the axial direction of the cylindrical part during the spinning process is derived and solved to obtain the depth of the straight lines at any cross section of the cylindrical part, and the relationship between the axial position of the spinning wheel and the depth is established.
[0020] The process of solving the asymmetric spinning deformation path equation along the axial direction of the spinning wheel during the spinning process, and establishing the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part, includes: Define the intersection point of the elliptical profile and the turning profile generatrix of the cylindrical blank as point . .
[0021] In this embodiment, point These are geometric reference points established solely for the purpose of describing the asymmetric spinning deformation path, used to determine the origin of the Cartesian coordinate system on the axial section; they are not solid structural markers on cylindrical parts or spinning wheels.
[0022] Using the cross-section of the preformed groove along the axial direction of the cylindrical part as the reference plane, and point... A Cartesian coordinate system is established on the reference plane with the origin as the coordinate origin; the X-axis of the Cartesian coordinate system is along the axial direction of the cylindrical part, and the Y-axis is along the radial direction of the cylindrical part.
[0023] Based on the geometric parameters of the preformed groove, establish the rotation tilt angle. The equation of the elliptic curve.
[0024] The rotation tilt angle is established based on the geometric parameters of the pre-formed groove. The equations for the elliptic curves include: Based on the geometric parameters of the preformed groove, the contour equation of the original ellipse is established; the original ellipse is the normal cross-sectional ellipse of the preformed groove.
[0025] In this embodiment, as Figure 2 As shown, taking the plane containing the preformed groove along the axial direction of the cylindrical part (i.e., the longitudinal section) as the reference plane, an appropriate Cartesian coordinate system is established, and points are defined. Origin of coordinates The semi-major axis of the original ellipse is The semi-minor axis is Then the coordinates of the center of the original ellipse are The equation for the outline of the original ellipse is established as follows: (1) in, Let x be the x-coordinate of any point on the ellipse; Let be the ordinate of any point on the ellipse.
[0026] According to the definition of a rotation matrix, the original ellipse is rotated counterclockwise by an angle of inclination. And establish the coordinate transformation relationship before and after rotation.
[0027] In this embodiment, based on the definition of a rotation matrix, the original ellipse can be rotated by a certain angle in a counterclockwise direction. After rotation, elliptical coordinates Elliptical coordinates before rotation Coordinate transformation relationship: (2) Based on the coordinate transformation relationship before and after rotation and the original elliptical contour equation, the rotation tilt angle is established. The equation of the elliptic curve.
[0028] In this embodiment, formula (2) is transposed and rearranged to obtain: (3) According to formula (3), the coordinates of the ellipse before rotation are... The specific expression: (4) (5) Substituting formulas (4) and (5) into formula (1), we obtain the result of the ellipse rotating counterclockwise by a certain angle. The equation of the curve after rotation tilt angle The equation of the elliptic curve is expressed as: (6) Based on the rotation tilt angle The elliptic curve equation is then used to establish the mapping relationship between the axial position of the wheel and the depth of the straight lines at any radial section of the cylindrical part.
[0029] In this embodiment, according to formula (6), the mapping relationship between the axial position of the swivel wheel and the depth of the straight lines at any radial section of the cylindrical part is obtained as follows: (7) in, This indicates the depth of the straight lines at any radial section of a cylindrical component. Indicates the axial position of the wheel.
[0030] Solve the trajectory equation of the spinning wheel along the radial feed of the cylindrical part during the spinning process, and establish the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section.
[0031] In this embodiment, the trajectory equation of the spinning wheel feeding radially along the cylindrical part during the spinning process is derived and solved, so as to obtain the relationship between the deformation rotation angle at the above-mentioned straight-line depth on the cross-section of the cylindrical part and the radial position of the spinning wheel.
[0032] like Figure 3 As shown, the process of solving the trajectory equation of the spinning wheel along the radial feed of the cylindrical part during spinning, and establishing the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section, includes: Define the center of the radial section circle of the cylindrical component as point . The radius of the cylindrical component is The maximum angle occupied by the straight lines on any radial section is The center of the wheel is point . The radius of the wheel is The radial position of the rotating wheel is .
[0033] For any time Define the cylindrical component from the start time. arrive The rotation angle at time is The contact point between the rotating wheel and the straight groove on the radial section of the cylindrical part is called a point. .
[0034] (8) in, The rotation angle increment is determined based on the desired precision of the cylindrical part being machined, by... Divided into several infinitesimal angles, each infinitesimal angle through which the wheel rotates is... The more equal parts a cylindrical part is divided into, the more precise the machining process will be.
[0035] like Then the cylindrical part is in the undeformed stage; in the undeformed stage, the radial position of the wheel... The value is a constant; the constant value is the sum of the radius of the cylindrical component and the radius of the rotating wheel.
[0036] (9) like If the cylindrical part is in the deformation stage, then a mapping relationship is established between the maximum angle occupied by the straight lines on the same radial section and the depth of the straight lines. The center of the radial section circle of the cylindrical part is calculated in real time during the spinning process. With point The distance is calculated, and the radial position of the wheel is determined based on the law of cosines. .
[0037] In this embodiment, when At this point, during the deformation stage, based on the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines on any radial section of the cylindrical part, the maximum angle occupied by the straight lines on the same radial section is established. The mapping relationship with the depth of the ruling lines.
[0038] The center of the circle passing through the radial section of the cylindrical component on the radial section. Furthermore, the vertically upward direction is used as the reference direction, defining the initial contact point between the rotating wheel and the deformation zone of the cylindrical component on a single radial section. The orthographic projection point in this reference direction is point . ,point The center of the radial section circle of the cylindrical part The distance is the difference between the radius of the cylindrical component and the depth of the straight lines; the initial contact point between the wheel and the deformation zone of the cylindrical component on a single radial cross section. The center of the radial cross-section circle of the cylindrical component With point The triangle formed In the middle, establish the maximum angle occupied by the straight lines on the same radial section. The mapping relationship with the depth of the ruling lines.
[0039] (10) During the spinning process, based on the cylindrical part from the starting moment... arrive Rotation angle at time Calculate the center of the radial cross-section circle of the cylindrical component. With point distance .
[0040] (11) Based on the maximum angle occupied by the straight lines on the same radial cross section The mapping relationship with the depth of the straight lines is based on the center of the radial cross-section circle of the cylindrical part. With point distance Establish the center of the radial cross-section circle of the cylindrical component. The mapping relationship between the depth of the straight lines on the same radial section and the depth of the straight lines. (12) Calculate the radial position of the wheel during the deformation stage using the law of cosines. .
[0041] (13) Based on the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines on any radial section of the cylindrical part, and the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section, the axial-radial bidirectional asymmetric spinning deformation path is determined.
[0042] The axis-radial bidirectional asymmetric spinning deformation path includes: the correspondence between the axial position of the spinning wheel, the radial position of the spinning wheel, and the rotation angle of the cylindrical part at any time during the spinning process.
[0043] Write CNC code programs based on the shaft-diameter bidirectional asymmetric spinning deformation path.
[0044] In this embodiment, MATLAB software is used for programming calculations, and the data is exported in Excel format.
[0045] Select a CNC spinning machine, clamp the cylindrical part to be spun between the cylindrical mandrel and the tail, and keep the pre-formed groove in a hollow state during clamping; install the universal spinning wheel on the spinning wheel frame perpendicular to the spindle of the spinning machine, and keep the central axis of the universal spinning wheel parallel to the spindle of the cylindrical part to be spun.
[0046] In this embodiment, a CNC spinning machine is selected, such as... Figure 4 As shown, the cylindrical part 2 to be spun is clamped between the cylindrical mandrel 3 and the tail fin 4. During clamping, care should be taken to leave space for the part to be spun, that is, to maintain a hollow state at the machining position of the pre-formed straight-lined inclined elliptical contour groove; select a spinning wheel 1 and install the spinning wheel 1 on a spinning wheel frame perpendicular to the spindle of the spinning machine, as shown. Figure 4 As shown in the figure, the spinning wheel frame is omitted. The central axis of the spinning wheel 1 is parallel to the main shaft of the cylindrical part 2 being spun. The spinning wheel 1 rotates with the main shaft. In the working state, the rotation center of the spinning wheel 1 and the rotation center of the cylindrical part 2 being spun are on the same horizontal plane. During spinning, the spinning wheel 1 not only needs to reciprocate radially and rotate around its own rotation center, but also needs to move axially along the direction of the spinning machine's main shaft. The spinning wheel 1 periodically contacts and presses down on the cylindrical part 2 being spun. Based on the precise control of the radial displacement of the spinning wheel 1, the effect of pressing down on a certain local position of the cylindrical part 2 being spun is achieved by coordinating with the rotational movement of the cylindrical part 2 being spun. At the same time, the spinning wheel 1 makes continuous axial movement according to the machine tool program under the control of the servo motor. The two move synchronously, thereby realizing the complete spinning process. Input the written CNC code program into the CNC spinning machine, start the CNC spinning machine to process the spun cylindrical part, and obtain a cylindrical part with a pre-formed groove.
[0047] In this embodiment, the data in the generated Excel file is imported into the CNC machine tool. A Siemens CNC code program is written based on the shaft-diameter bidirectional asymmetric spinning deformation path. The CNC spinning machine is then started, and the dieless spinning process is executed according to the machining program. The CNC spinning machine is model PS-CNCSXY-5, with a built-in Siemens CNC system and a spindle speed set to 10 r / min. In this embodiment, a cylindrical part 2 with an outer diameter of 40 mm, a wall thickness of 2 mm, and made of 1060 aluminum alloy is used as the part to be spun. The pre-formed straight-lined inclined elliptical groove has a depth of 6 mm and a width of 33.5 mm. The cylindrical part 2 is processed into an asymmetric formed part with straight-lined inclined elliptical grooves. Actual measurements show that the dimensional and shape accuracy errors of the formed part are both within 10%.
[0048] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit them. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features therein. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope defined by the present invention.
Claims
1. A method for bidirectional asymmetric spinning of the shaft diameter of a cylindrical part with straight-lined inclined elliptical grooves, characterized in that, The method includes the following steps: Obtain the geometric parameters of the pre-formed groove of the cylindrical part; Based on the geometric parameters of the preformed groove, the equation of the asymmetric spinning deformation path of the spinning wheel along the axial direction of the cylindrical part during the spinning process is solved, and the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part is established. Solve the trajectory equation of the spinning wheel along the radial feed of the cylindrical part during the spinning process, and establish the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section; Based on the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part, and the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section, the axial-radial bidirectional asymmetric spinning deformation path is determined. Write CNC code programs based on the shaft-radius bidirectional asymmetric spinning deformation path; Select a CNC spinning machine, clamp the cylindrical part to be spun between the cylindrical mandrel and the tail, and keep the pre-formed groove in a hollow state during clamping; install the universal spinning wheel on the spinning wheel frame perpendicular to the spindle of the spinning machine, and keep the central axis of the universal spinning wheel parallel to the spindle of the cylindrical part to be spun; Input the written CNC code program into the CNC spinning machine, start the CNC spinning machine to process the spun cylindrical part, and obtain a cylindrical part with a pre-formed groove.
2. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 1, characterized in that, The preformed groove is a straight-lined inclined elliptical groove; the geometric parameters include: the semi-major axis, semi-minor axis and inclination angle of the ellipse.
3. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 2, characterized in that, The process of solving the asymmetric spinning deformation path equation along the axial direction of the spinning wheel during the spinning process, and establishing the mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical part, includes: Define the intersection point of the elliptical profile and the turning profile generatrix of the cylindrical blank as point . ; Using the cross-section of the pre-formed groove along the axial direction of the cylindrical part as the reference plane, and point... A Cartesian coordinate system is established on the reference plane with the origin as the coordinate origin; the X-axis of the Cartesian coordinate system is along the axial direction of the cylindrical part, and the Y-axis is along the radial direction of the cylindrical part. Based on the geometric parameters of the preformed groove, establish the rotation tilt angle. The equation of the elliptic curve after that; Based on the rotation tilt angle The elliptic curve equation is then used to establish the mapping relationship between the axial position of the wheel and the depth of the straight lines at any radial section of the cylindrical part.
4. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 3, characterized in that, The rotation tilt angle is established based on the geometric parameters of the pre-formed groove. The equations for the elliptic curves include: Based on the geometric parameters of the preformed groove, the contour equation of the original ellipse is established; the original ellipse is the normal cross-sectional ellipse of the preformed groove. According to the definition of a rotation matrix, the original ellipse is tilted counterclockwise by an angle. And establish the coordinate transformation relationship before and after rotation; Based on the coordinate transformation relationship before and after rotation and the original elliptical contour equation, the rotation tilt angle is established. The equation of the elliptic curve.
5. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 3, characterized in that, The mapping relationship between the axial position of the spinning wheel and the depth of the straight lines at any radial section of the cylindrical component is as follows: ； in, This indicates the depth of the straight lines at any radial section of a cylindrical component. Indicates the axial position of the spinning wheel; is the semi-major axis of the original ellipse; It is the semi-minor axis of the original ellipse.
6. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 5, characterized in that, The process of solving the trajectory equation of the spinning wheel along the radial feed of the cylindrical part during spinning, and establishing the mapping relationship between the rotation angle of the cylindrical part and the radial position of the spinning wheel under the same radial section, includes: Define the center of the radial section circle of the cylindrical component as point . The radius of the cylindrical component is The maximum angle occupied by the straight lines on any radial section is The center of the wheel is point . The radius of the wheel is The radial position of the rotating wheel is ; For any time Define the cylindrical component from the start time. arrive The rotation angle at time is The contact point between the rotating wheel and the straight-lined groove on the radial section is called a point. ; like Then the cylindrical part is in the undeformed stage; in the undeformed stage, the radial position of the wheel... This is a constant value; the constant value is the sum of the radius of the cylindrical component and the radius of the rotating wheel; like If the cylindrical part is in the deformation stage, then a mapping relationship is established between the maximum angle occupied by the straight lines on the same radial section and the depth of the straight lines. The center of the radial section circle of the cylindrical part is calculated in real time during the spinning process. With point The distance is calculated, and the radial position of the wheel is determined based on the law of cosines. .
7. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 6, characterized in that, The process involves establishing a mapping relationship between the maximum angle occupied by straight lines on the same radial cross section and the depth of the straight lines, and calculating the center of the radial cross section circle of the cylindrical part in real time during the spinning process. With point The distance is calculated, and the radial position of the wheel is determined based on the law of cosines. ,include: The center of the circle passing through the radial section of the cylindrical component on the radial section. Furthermore, the vertically upward direction is used as the reference direction, defining the initial contact point between the rotating wheel and the deformation zone of the cylindrical component on a single radial section. The orthographic projection point in this reference direction is point . ,point The center of the radial section circle of the cylindrical part The distance is the difference between the radius of the cylindrical component and the depth of the straight lines; the initial contact point between the wheel and the deformation zone of the cylindrical component on a single radial cross section. The center of the radial cross-section circle of the cylindrical component With point The triangle formed In the middle, establish the maximum angle occupied by the straight lines on the same radial section. The mapping relationship with the depth of the ruling lines; ； During the spinning process, based on the cylindrical part from the starting moment... arrive Rotation angle at time Calculate the center of the radial cross-section circle of the cylindrical component. With point distance ; ； Based on the maximum angle occupied by the straight lines on the same radial cross section The mapping relationship with the depth of the straight lines is based on the center of the radial cross-section circle of the cylindrical part. With point distance Establish the center of the radial cross-section circle of the cylindrical component. The mapping relationship between the depth of the straight lines on the same radial section and the depth of the straight lines. ； Calculate the radial position of the wheel during the deformation stage using the law of cosines. ; 。 8. The method for bidirectional asymmetric spinning of the shaft diameter of a straight-lined inclined elliptical groove cylindrical part according to claim 7, characterized in that, The axis-radial bidirectional asymmetric spinning deformation path includes: the correspondence between the axial position of the spinning wheel, the radial position of the spinning wheel, and the rotation angle of the cylindrical part at any time during the spinning process.