CN116551460A - Impeller five-axis four-linkage end milling method - Google Patents

Impeller five-axis four-linkage end milling method Download PDF

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Publication number
CN116551460A
CN116551460A CN202310568759.9A CN202310568759A CN116551460A CN 116551460 A CN116551460 A CN 116551460A CN 202310568759 A CN202310568759 A CN 202310568759A CN 116551460 A CN116551460 A CN 116551460A
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axis
point
interpolation
rotation angle
tool
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王叶松
董嘉尚
王宏宇
王晓成
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Jiangsu University of Science and Technology
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Jiangsu University of Science and Technology
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23QDETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q15/00Automatic control or regulation of feed movement, cutting velocity or position of tool or work
    • B23Q15/20Automatic control or regulation of feed movement, cutting velocity or position of tool or work before or after the tool acts upon the workpiece
    • B23Q15/22Control or regulation of position of tool or workpiece
    • B23Q15/225Control or regulation of position of tool or workpiece in feed control, i.e. approaching of tool or work in successive decreasing velocity steps

Abstract

The invention discloses a five-axis four-linkage end milling processing method of an impeller, which comprises the steps of inserting two interpolation points between every two adjacent cutter path track points, and when the two interpolation points move from a first cutter path track point to the first interpolation point, keeping the rotation angle of a B axis of the first interpolation point unchanged from the rotation angle of a B axis of the first cutter path track point, wherein the rotation of an A axis is required to be 1/2 of the rotation angle difference value of the two cutter path track points; when the first interpolation point moves to the second interpolation point, the rotation angle of the axis A of the first interpolation point and the rotation angle of the axis B of the second interpolation point are kept unchanged, and the axis B needs to rotate to the rotation angle value of the path track point of the second tool; when the second interpolation point moves to the second tool path track point, the rotation angle of the B axis of the second interpolation point and the second tool path track point is kept unchanged, the A axis needs to rotate to the rotation angle value of the second tool path track point, one rotation axis is kept unchanged during interpolation, and the other rotation axis rotates to completely replace five-axis five-linkage end milling.

Description

Impeller five-axis four-linkage end milling method
Technical Field
The invention belongs to the field of cutting processing of multi-axis numerical control machine tools, and particularly relates to a method for end milling of an integral impeller by adopting a five-axis four-linkage numerical control machine tool.
Background
Five-axis numerical control machine tool is a core device in modern advanced manufacturing technology and occupies a main position in the fields of complex curved surface parts and large-scale precise die machining. Five-axis numerical control milling has good flexibility, high processing efficiency and good surface quality, and can realize the production and processing of the integral impeller by applying numerical control programming software such as CATIA, UG, MASTERCAM, CIMATRON and the like, and is also one of the common methods for processing the integral impeller. However, the five-axis numerical control machine tool adopts a complex five-axis continuous motion control system, so that the price is high, the cost is high, and the popularization of the five-axis numerical control machine tool is limited.
According to the different curved surface shapes of the impeller, a point milling method is usually adopted when the impeller is processed on a numerical control machine tool, but impeller blades have good surface quality, so that the rigidity of the machine tool, a cutter, a clamp and the integral impeller is comprehensively considered, and the manufacturing requirement of the impeller can be met by designing a reasonable processing technology. The existing commercial CAD/CAM software tool generally only generates a five-axis linkage tool path for the traditional five-axis machine tool, and the popularization of the five-axis linkage machine tool is limited.
In order to improve the processing quality of the impeller, the optimization of the tool path of the five-axis numerical control machine tool and the avoidance of tool interference and collision are required, and the common optimization method is as follows: 1. the method comprises the steps of establishing a few-axis system to realize a multi-axis numerical control system, adopting an additional axis algorithm of the three-axis numerical control system, modifying a machine tool in the realization process, and making a tool path planning algorithm complex and low in processing efficiency when complex curved surfaces are processed. 2. The five-axis machining error compensation strategy based on the neural network is adopted, and errors caused by tool wear are considered, but the calculation is time-consuming. 3. Algorithms for rapid detection and correction of collisions of a predefined tool with any workpiece are employed, however this method does not generate a continuous tool motion path, resulting in poor finish of the machined surface.
The impeller plunge milling method disclosed in the Chinese patent publication No. CN 104002110A and named as an integral impeller plunge milling method based on drilling and milling combination is characterized in that a rough machining feasible region of an impeller is uniformly split by a value-dividing method to construct a cone section family, and then a cutter center point position and a cutter shaft vector are determined by the value-dividing method, so that the method is suitable for a small-diameter cutter and a five-axis linkage numerical control machining center. The machining method still belongs to five-axis five-linkage system machining and can be completed by matching drilling and milling with plunge milling, and the cutter movement track is discontinuous, so that the machining is complex and the cost is high.
Disclosure of Invention
The invention aims to solve the problems of complex tool path planning, high cost, poor machining efficiency and machining precision of the existing five-axis linkage numerical control machine tool for machining an integral impeller, and provides a five-axis four-linkage end milling machining method for the impeller, which converts a five-axis five-linkage tool path track into a five-axis four-linkage tool path track so as to simplify the machining process, reduce the machining cost and improve the machining precision.
In order to achieve the above purpose, the invention adopts the following technical scheme:
the five-axis machine tool comprising X, Y, Z three linear axes, a workbench rotating shaft A and a cutter swinging shaft B is adopted, and the method further comprises the following steps:
step 1): analyzing a geometric model of an impeller to be processed and processing technology requirements to generate a path track of impeller processing;
step 2): modeling the kinematics of a five-axis machine tool to obtain cutter position data comprising cutter center point coordinates and cutter shaft vectors, and calculating the rotation angle of a A, B axis and the displacement of X, Y, Z three linear axes based on the cutter position data;
step 3): inserting two interpolation points between every two adjacent tool path track points, and when the two interpolation points move from a first tool path track point to the first interpolation point, keeping the rotation angle of the B axis of the first interpolation point and the rotation angle of the B axis of the first tool path track point unchanged, wherein the A axis needs to rotate to a position 1/2 of the difference value of the rotation angles of the two tool path track points;
when the first interpolation point moves to the second interpolation point, the rotation angle of the axis A of the first interpolation point and the rotation angle of the axis B of the second interpolation point are kept unchanged, and the axis B needs to rotate to the rotation angle value of the path track point of the second tool;
when moving from the second interpolation point to the second path track point, the rotation angle of the axis B between the second interpolation point and the second path track point is kept unchanged, and the axis A needs to rotate to the rotation angle value of the second path track point.
The invention has the outstanding advantages after adopting the technical proposal that:
1. the five-axis four-linkage end milling machine tool can completely replace the five-axis five-linkage end milling machine tool, so that the low-cost five-axis four-linkage numerical control machine tool replaces the processing capacity of an expensive five-axis five-linkage numerical control system, and the potential of the five-axis four-linkage numerical control machine tool with cost effectiveness is fully excavated.
2. According to the five-axis linkage tool path track and the relation between the tool position data and the motion axis of the numerical control machine tool, the tool path track conversion is realized, and in order to ensure the continuity and the smoothness of the tool path and ensure uniform step length, the linear interpolation is carried out on the tool center point, and the rotating shaft carries out interpolation by utilizing a point-by-point comparison method.
3. According to the invention, one rotating shaft is kept unchanged during interpolation, and the other rotating shaft rotates to 1/2 of the angle difference value of the original adjacent five-axis points, so that five-axis linkage is converted into five-axis four-linkage.
4. The invention not only realizes the five-axis four-linkage processing to replace the five-axis five-linkage complex curved surface processing, but also greatly improves the nonlinear error generated in the multi-axis processing process, improves the processing quality of the impeller, provides a new method for the processing of the complex curved surface of the impeller, and obviously reduces the processing cost.
Drawings
Fig. 1 is a schematic structural diagram of a five-axis numerical control machine tool:
FIG. 2 is a schematic diagram of a machine tool coordinate system;
FIG. 3 is a schematic diagram of the principle of interpolation of the tool center point;
fig. 4 is a schematic diagram of the principle of interpolation of the arbor vector.
Detailed Description
Referring to fig. 1, the impeller five-axis four-linkage end milling method of the invention adopts a five-axis numerical control machine tool which is widely applied and is provided with a control system, and the five-axis numerical control machine tool is a swinging head and rotary table type five-axis machine tool, and has five motion axes in total, wherein the five motion axes comprise three linear axes: x-axis, Y-axis, Z-axis, two rotation axes: the tool swing axis B and the workbench rotating axis A belong to a five-axis machine tool with a swing head and a rotary table. This type of machine tool construction is intermediate between a double swing head and a double turret. The workpiece impeller rotates on the A axis, and the size range of the workpiece which can be processed by the machine tool is larger.
Analyzing a geometric model of an impeller to be processed and processing technology requirements, making a processing technology flow of the impeller, carrying out numerical control programming in CAM software according to the processing technology flow, generating a five-axis linkage tool path track for impeller processing, modeling machine kinematics, and obtaining tool position data comprising tool center point coordinates (x, y, z) and tool axis vectors (i, j, k), wherein the method specifically comprises the following steps:
to describe the motion relationship between the tool position data and the machine axis, a machine coordinate system shown in fig. 2 is established, which includes a workpiece coordinate system (O w X w Y w Z w ) Tool coordinate System (O) t X t Y t Z t ) B rotation axis coordinate System (O) b X b Y b Z b ) And A a rotation axis coordinate system (O a X a Y a Z a ). Wherein the tool coordinate system (O t X t Y t Z t ) Is the origin of coordinates O of t Is the center point of the tool, B is the rotary axis coordinate system (O b X b Y b Z b ) Is the origin of coordinates O of b Is the intersection point of the cutter axis and the rotation axis of the B shaft, and the coordinate system of the A rotation axis (O a X a Y a Z a ) Origin of coordinates O a Is any point on the axis of rotation of the A axis, and the origin of coordinates O a Can be arbitrarily selected on the axis of rotation of the A axis. B rotating axis coordinate System (O) b X b Y b Z b ) Is the origin of coordinates O of b To the centre point O of the tool t Is L.
In the initial state of the machine tool, the axis of the tool is parallel to the Z axis, and the origin of the coordinate system of the tool is O t With the object coordinate system O w The origins coincide. By means of a tool coordinate system (O t X t Y t Z t ) Relative to the B pivot axis coordinate system (O b X b Y b Z b ) Is rotated by a B rotation axis coordinate system (O b X b Y b Z b ) Relative to the A rotary axis coordinate system (O a X a Y a Z a ) And a rotation axis coordinate system (O a X a Y a Z a ) Relative to the object coordinate system (O w X w Y w Z w ) The rotating coordinate transformation can obtain a machine tool kinematic model, and obtain the coordinates (x, y, z) of the tool center point and the cutter shaft vector (i, j, k): x, y, z are the center point relative to the workpiece coordinate system (O w X w Y w Z w ) I, j, k is the coordinate of the arbor relative to the workpiece coordinate system (O w X w Y w Z w ) Is a direction of (2).
Wherein (m) x ,m y ,m z ) The origin O of the coordinate system of the A rotary shaft a In the object coordinate system (O w X w Y w Z w ) Is a position in the middle; θ A Is the rotation angle of the axis A of the turntable, theta B Is the rotation angle of the swing head B shaft; s is(s) x 、s y 、s z Three linear axis displacements of machine tool X, Y, Z, respectively.
According to the machine tool kinematic models of the formulas (1) and (2), the cutter position data is used for solving the motion components of each axis of the machine tool, namely the rotation angle theta of the A axis A Angle theta of rotation of B axis B . The method specifically comprises the following steps:
because the rotation angle range of the B axis in the five-axis numerical control machine tool is-90 degrees to 90 degrees, the rotation angle range can be obtained by the formula (1):
j 2 +k 2 =cos(θ B ) 2 (3)
the rotation angle of the B axis can be obtained according to the formula (1) and the formula (3):
for the solution of the a-axis angle, the following cases are divided:
(1) when k is>0 and j>At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(2) When k is<0 and j>At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(3) When k is<0 and j<At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(4) When k is>0 and j<At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(5) When k=0 and j>At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(6) When k=0 and j<At 0, according to the formulaDetermining the rotation angle theta of the A axis A
(7) When k is>When 0 and j=0, the method is based on θ A Obtain the angle θ of rotation of the a-axis by =0 A
(8) When k is<When 0 and j=0, the method is based on θ A Let pi determine the angle θ of a-axis rotation A
Determining the rotation angle theta of the A axis A And angle of rotation of B axis theta B Then, further obtaining according to the formula (2)Displacement of three linear axes of each of X axis, Y axis, and Z axis:
X=x+sin(θ B )×L (5)
Y=m y +cos(θ A )×(y-m y )-sin(θ A )×(z-m z ) (6)
Z=m z -L×(1-(cos(θ B )))+sin(θ A )×(y-m y )+cos(θ A )×(z-m z ) (7)
according to the coordinates (x, y, z) of the tool center point and the vectors (i, j, k) of the cutter shaft, a five-axis five-linkage tool path track is obtained, a five-axis five-linkage tool path track interpolation algorithm is adopted between two adjacent five-axis five-linkage tool path track points to convert five-axis five-linkage into five-axis four-linkage, and one or more interpolation points are found between the two adjacent five-axis five-linkage tool path track points by the tool path track interpolation algorithm, so that the machine tool motion between a first track point and the interpolation point, between the interpolation point and the adjacent interpolation point, and between the interpolation point and a second track point is converted from five-axis five-linkage into five-axis four-linkage, and therefore, the motion of a certain motion axis can be limited during the interpolation point.
From equation (2), the magnitude of the knife center point coordinates (x, y, z) is affected by both the X, Y, Z linear axis motion and the A, B axis rotation, while the magnitude of the knife axis vector (i, j, k) is affected only by the A, B axis rotation. When the impeller is machined, the cutter position is determined by the coordinates (x, y, z) of the cutter center point in the cutter position data, and the cutter shaft vector (i, j, k) determines the cutter posture. If the movement of one of the linear axes is to be limited, the influence of the rotation axis on the position coordinates cannot be controlled, and the tool path track is greatly influenced, and if the movement of one of the rotation axes is to be limited, the change of the position of the tool center point caused by the rotation axis can be compensated by other linear axes. Therefore, the tool path track interpolation algorithm adopted by the invention carries out interpolation between two five-axis five-linkage tool path track points by limiting one of the A-axis rotating shaft and the B-axis rotating shaft, thereby converting five-axis linkage processing into five-axis four-linkage processing.
The tool path track interpolation is linear interpolation, the linear interpolation is carried out on the coordinate (x, y, z) data of the tool center point, one rotating shaft is kept unchanged during interpolation, and the other rotating shaft rotates to 1/2 of the angle difference value of the original adjacent five-axis points. The number of interpolation points is selected to be 2.
As shown in fig. 3, two adjacent five-axis five-linkage cutter track points are M, N, two adjacent cutter track points are M, N, and two points C are inserted between M, N 11 、C 21 . To ensure uniform step size, interpolation point C 11 、C 21 Evenly distributed across the linear knife track path between MNs. Interpolation point C 11 、C 21 The coordinates of the knife center point are respectively (x) C1 ,y C1 ,z C1 )、(x C2 ,y C2 ,z C2 ) The arbor vectors of the interpolation points M, N are (i) 0 ,j 0 、k 0 )、(i 1 ,j 1 、k 1 ) Interpolation point C 11 、C 21 The angle of the rotation axis of (B) c1 ,A c1 )、(B c2 ,A c2 ) The corresponding arbor vector is (i) c1 ,j c1 ,k c1 )、(i c2 ,j c2 ,k c2 ). Wherein, the liquid crystal display device comprises a liquid crystal display device,
as shown in FIG. 4, the displacement of the X, Y, Z linear axis of the first tool path trace point M and the rotation angle of the A, B rotation axis can be calculated according to the formulas (3) - (7) as (X) 0 ,Y 0 ,Z 0 ,B 0 ,A 0 ) The displacement of the X, Y, Z linear axis of the second path locus point N and the rotation angle of the A, B rotation axis were calculated as (X) 1 ,Y 1 ,Z 1 ,B 1 ,A 1 ). At this point M, C 11 、C 21 The angle values of the B, A axis rotation axes of N are (B) 0 ,A 0 )、 (B 1 ,A 1 ) Path trace point M, C 11 、C 21 N is five-axis four-linkage track point. The corresponding machine coordinates are as follows:
M(X 0 ,Y 0 ,Z 0 ,B 0 ,A 0 ),
N(X 1 ,Y 1 ,Z 1 ,B 1 ,A 1 )。
first interpolation point C 11 The B axis is kept unchanged, the A axis is changed or the A axis is kept unchanged, and the B axis is changed. With the first interpolation point C between five-axis linkage knife points 11 The axis B is kept unchanged, the axis A is transformed into an example, and the cutter shaft vector of the interpolation point is solved. When moving from the first tool path trace point M to C 11 At the point of point C 11 The B-axis angle between the point and the M point is unchanged, namely c1 =B 0 The angle of the axis A rotates to 1/2 of the angle interpolation from the point M to the point N of the track point of the second tool path, namelyThen, when C is from 11 The point moves to the first interpolation point C 21 At the point of point C 11 Point and C 21 The angle of the A axis of the dot is unchanged, i.e. +.>The B axis angle rotates to the N point angle value, namely B c2 =B 1 . Finally, when C is from 21 When the point moves to the N point, C is caused to be 21 The angle of the B axis between the point and the N point is unchanged, namely B 1 The angle of the axis A rotates to the angle value of the point N, namely A 1
Interpolation point C 11 、C 21 The corresponding rotation axes are respectively:
obtaining interpolation point C 11 、C 21 Angle (B) of rotation axis of (A) c1 ,A c1 )、(B c2 ,A c2 ) After that, substitution (1)The interpolation point C can be obtained by the calculation principle of (1) 11 、C 21 Corresponding arbor vector (i) c1 ,j c1 ,k c1 )、(i c2 ,j c2 ,k c2 ) The method comprises the following steps:
when moving from point M to point C 11 At the point of point C 11 The B-axis angle between the point and the M point is unchanged, namely c1 =B 0 The angle of the axis A rotates to 1/2 of the interpolation of the angle from M point to N point, i.eThen, when C is from 11 Point movement to C 21 At the point of point C 11 Point and C 21 The angle of the A axis of the dot is unchanged, i.e. +.>The B axis angle rotates to the N point angle value, namely B c2 =B 1 . Finally, when C is from 21 When the point moves to the N point, C is caused to be 21 The angle of the B axis between the point and the N point is unchanged, namely B 1 The angle of the axis A rotates to the angle value of the point N, namely A 1
One embodiment of the invention is provided below:
the impeller to be processed adopts a forged aluminum part, and is manufactured into the basic shape of a revolving body through numerical control turning, so that the meridian accuracy is required to be ensured. The rough machining to finish machining tool is generally determined according to the distance between impeller blades and chamfering requirements, and ball cutters or taper ball cutters with different specifications can be adopted.
The five-axis numerical control machine tool with the Sinumerik 828D control system is a swinging head and rotary table type five-axis machine tool, and can realize any four-axis linkage at the same time. The machine tool has five motion axes, including three linear axes (X/Y/Z), and two rotation axes (a tool swinging axis B and a workbench rotation axis A), and belongs to a five-axis machine tool with swinging heads and a turntable. This type of machine tool structure is between the double swing head and double turntable type, and because the impeller rotates on the A axis, the size range of the impeller which can be processed by the machine tool is relatively large, and the parameters of the machine tool are shown in table 1.
Table 1 main parameter table of machine tool
And (3) importing the impeller model into UG10.0, and selecting an impeller processing module to sequentially set processing information such as a geometric body, a cutter and the like. And (3) selecting reasonable parameters in the formulated impeller processing procedure to generate a five-axis five-linkage tool path track. According to an interpolation algorithm, interpolation processing is carried out on the cutter position data of each derived track in MATLAB, the coordinates of the cutter center point and the cutter axis vector of the interpolation point are calculated, a new five-axis four-linkage cutter position file is generated, and the new five-axis four-linkage cutter position file is imported into UG 10.0.
And (3) fusing interpolation data through a UG10.0 software machine tool machining simulation module, simulating a tool path generated by the interpolated tool position data, and simulating a five-axis four-linkage machining track of the impeller to check whether the tool interference problem occurs. Through simulation, the five-axis four-linkage machining track has no problems of cutter interference collision and the like, and an actual machining test can be performed.
The post-processing program of the five-axis vertical numerical control machining center is manufactured, and the numerical control machining program capable of running on a machine tool is generated by post-processing the tool bit file.

Claims (6)

1. The impeller five-axis four-linkage end milling method adopts a five-axis machine tool comprising X, Y, Z three linear axes, a workbench rotating shaft A and a cutter swinging shaft B, and is characterized by further comprising the following steps:
step 1): analyzing a geometric model of an impeller to be processed and processing technology requirements to generate a path track of impeller processing;
step 2): modeling the kinematics of a five-axis machine tool to obtain cutter position data comprising cutter center point coordinates and cutter shaft vectors, and calculating the rotation angle of a A, B axis and the displacement of X, Y, Z three linear axes based on the cutter position data;
step 3): inserting two interpolation points between every two adjacent tool path track points, and when the two interpolation points move from a first tool path track point to the first interpolation point, keeping the rotation angle of the B axis of the first interpolation point unchanged from the rotation angle of the B axis of the first tool path track point, wherein the A axis needs to rotate to a position 1/2 of the difference value of the rotation angles of the two tool path track points;
when the first interpolation point moves to the second interpolation point, the rotation angle of the axis A of the first interpolation point and the rotation angle of the axis B of the second interpolation point are kept unchanged, and the axis B needs to rotate to the rotation angle value of the path track point of the second tool;
when moving from the second interpolation point to the second path track point, the rotation angle of the axis B between the second interpolation point and the second path track point is kept unchanged, and the axis A needs to rotate to the rotation angle value of the second path track point.
2. The impeller five-axis four-linkage end milling method according to claim 1, wherein the method comprises the following steps: in the step 2), the coordinates (x, y, z) of the tool center point and the vectors (i, j, k) of the tool axis are:
(m x ,m y ,m z ) The positions of the origin of the A-axis coordinate system in the workpiece coordinate system are respectively theta A Is the rotation angle of the A axis, theta B The rotation angle of the B axis is L is the distance from the cutter center point to the rotation center of the B axis, s x 、s y 、s z Three linear axis displacements of machine tool X, Y, Z, respectively.
3. The impeller five-axis four-linkage end milling method according to claim 2, characterized in that: rotation angle of B axisWhen k is>0 and j>0, A axis rotation angle +.>When k is<0 and j>At the time of 0, the temperature of the liquid,when k is<0 and j<At 0, the +>When k is>0 and j<At the time of 0, the temperature of the liquid,when k=0 and j>At 0, the +>When k=0 and j<At 0, the +>When k is>When 0 and j=0, θ A =0; when k is<When 0 and j=0, θ A =π;。
4. The impeller five-axis four-linkage end milling method according to claim 3, wherein the method comprises the following steps: the displacement of the X, Y, Z three linear axes is: x=x+sin (θ B )×L,Y=m y +cos(θ A )×(y-m y )-sin(θ A )×(z-m z ),Z=m z -L×(1-(cos(θ B )))+sin(θ A )×(y-m y )+cos(θ A )×(z-m z )。
5. The impeller five-axis four-linkage end milling method according to claim 3, wherein the method comprises the following steps: the two interpolation points C 11 、C 21 Is (i) c1 ,j c1 ,k c1 )、(i c2 ,j c2 ,k c2 ) The method comprises the following steps:
A 0 、B 0 a, B axis rotation angles of the first tool path track point, A 1 、B 1 The A, B axis rotation angles of the second path locus point are respectively.
6. The impeller five-axis four-linkage end milling method according to claim 3, wherein the method comprises the following steps: in step 3), the two interpolation points are uniformly distributed on the path between the two tool path track points.
CN202310568759.9A 2023-05-19 2023-05-19 Impeller five-axis four-linkage end milling method Pending CN116551460A (en)

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