Space multi-angle small hole electromachining wire aligning method

Abstract

The invention relates to the field of electromachining, and discloses a space multi-angle small hole electromachining wire aligning method, which comprises the following steps of: directly measuring and calculating an included angle alpha between a small hole axis and an XY plane through three-dimensional software, establishing a space coordinate system, and directly adjusting an electrode angle through B-axis swinging, so that an electrode axis is overlapped with a theoretical small hole axis; and a clamp error transmission path is completely avoided. An initial reference is established through X-axis, Y-axis and B-axis zero returning operation, so that the axis of the electrode coincides with the rotation center of the workbench; after the axis B is swung in combination with the included angle alpha, the electrode is used for touching the outer circle and the axial datum plane of the part, actual position data of the part are obtained in real time, the coordinates of the rotation center of the front end of the electrode are reversely deduced through the geometrical relation, the coordinate mapping relation between the electrode and the part is established, and precise calibration of the spatial position of the eccentric electrode is achieved.

Description

Technical Field

[0001] The invention relates to the field of electrical machining, in particular to a wire alignment method for electrical machining of spatial multi-angle small holes. Background Art

[0002] The surface of the sealing ring inside an aircraft engine guide is often uniformly distributed around the circumference, with multi-angled small holes. Due to their complex angles and large aspect ratio, these holes are typically machined using an oscillating-axis EDM machine. This machine achieves angular machining by oscillating the electrode, but its electrode axis is eccentric (i.e., it does not pass through the center of rotation of the electrode oscillation axis) and allows the electrode to move axially along the guide. This design makes it difficult to precisely determine the spatial coordinates of the electrode's front-end center of rotation after oscillation, directly affecting the positional accuracy of the small hole machining.

[0003] To address the problem of electrode angle positioning, traditional machining methods typically use a dedicated wire alignment block on the fixture. This block is pre-machined with a guide hole aligned with the theoretical axis of the small hole. Before machining, the electrode must be passed through the pre-machined hole in the wire alignment block to calibrate the electrode's swing angle. The electrode's X, Y, and Z axis positions are then adjusted manually or through CNC to achieve the theoretical machining coordinates. However, this method suffers from the following technical drawbacks: Accumulation of fixture manufacturing errors: The installation position and angle accuracy of the wire block are completely dependent on the fixture processing and assembly accuracy. Slight shape and position errors will cause deviations between the pre-processed hole and the theoretical axis. Part deformation interference: The sealing ring of an aircraft engine is a thin-walled ring part. The residual stress caused by machining and heat treatment deformation can easily cause the actual part axis to deviate from the theoretical axis, further amplifying the position error of the pre-machined hole of the wire block. Low reliability of the wire alignment process: The angle and position deviation of the pre-machined hole often prevent the electrode from being inserted smoothly, requiring repeated trial cutting and correction, which seriously reduces processing efficiency. In addition, forced wire alignment may cause the risk of collision between the electrode and the fixture. These issues lead to traditional methods suffering from low machining pass rates, long commissioning times, and a strong reliance on operator skills. These methods are particularly difficult to meet the stringent requirements for small hole position accuracy (typically ≤0.3mm) and angular accuracy (typically ≤0.1°) in aircraft engine components. Therefore, a precision machining method that can eliminate reliance on wire blocks and achieve dynamic calibration of the electrode's spatial position is urgently needed. Summary of the Invention

[0004] In order to overcome the defects of the above-mentioned prior art, the purpose of the present invention is to provide a spatial multi-angle small hole electric machining wire alignment method to solve the technical problem that the electrode wire cannot smoothly pass through the pre-machined hole on the wire alignment block in the traditional wire alignment process.

[0005] The present invention is achieved through the following technical solutions: The present invention provides a method for wire alignment in spatial multi-angle small hole electrical machining, comprising: Calculate the spatial angle α between the axis of the small hole and the XY plane; Establish a spatial coordinate system when the axis of the small hole is parallel to the XZ plane. Determine the three-dimensional coordinates of the reference point P (x0, y0, z0) on the axis according to the spatial coordinate system. The reference point P (x0, y0, z0) should be selected at the entrance of the small hole. The part to be processed is mounted on a fixture, the fixture is fixed to a workbench, and a part alignment procedure is performed; Perform the X, Y, and B axis zero return operation at a safe height to make the electrode axis coincide with the worktable rotation center; According to the spatial angle α between the axis of the small hole and the XY plane, the B axis is controlled to swing at an angle; Move the electrode to touch the outer surface of the part, establish the workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the X-axis direction; Move the electrode to touch the axial reference surface of the part, establish the workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the Z-axis direction; The coordinate mapping relationship between the front end rotation center of the electrode and the feature surface of the part is established in the X and Z axis directions. The electrode position is determined according to the coordinate mapping relationship, the workpiece coordinate system is constructed, and the electrode is moved to point P (x0, y0, z0) for processing.

[0006] Preferably, in the step of measuring the spatial angle α between the axis of the pinhole and the XY plane, the angle α is determined by jointly determining the projection angle θ1 of the axis of the pinhole on the XY plane and the projection angle θ2 of the axis of the pinhole on the XZ plane.

[0007] Furthermore, the angle α is determined by using 3D modeling software through the projection angle θ1 of the pinhole axis on the XY plane and the projection angle θ2 of the XZ plane.

[0008] Furthermore, the three-dimensional modeling software uses a space vector analysis method to calculate the angle α by inputting the coordinates of the two end points of the axis of the small hole (x1, y1, z1) and (x2, y2, z2).

[0009] Furthermore, the calculation expression of the angle α is as follows: .

[0010] Preferably, the coordinates of the reference point P are determined by homogeneous coordinate transformation.

[0011] Furthermore, the homogeneous coordinate transformation process includes that when the axis of the pinhole is parallel to the XZ plane, its spatial equation satisfies: (x-x0) / l = (y-y0) / 0 = (z-z0) / m, where l, 0, and m are direction vector components.

[0012] Preferably, in the step of performing the B-axis zero return operation at the safety height to make the electrode axis coincide with the worktable rotation center, the safety height is set to satisfy H=h+10 (mm), where h is the maximum height of the part.

[0013] Preferably, in the step of moving the electrode to touch the outer cylindrical surface of the part, establishing a workpiece coordinate system, and determining the position of the rotation center of the front end of the electrode in the X-axis direction, the X coordinate of the touch point between the moving electrode and the outer cylindrical surface of the part is set to D / 2+d·sinα, where D is the outer cylindrical diameter of the part, d is the electrode radius, and α is the B-axis swing angle.

[0014] Preferably, the moving electrode touches the axial reference plane of the part, establishes the workpiece coordinate system, and determines the position of the rotation center of the front end of the electrode in the Z-axis direction. The contact point between the moving electrode and the axial reference plane of the part is set to d·cosα, where d is the electrode radius and α is the B-axis swing angle.

[0015] Compared with the prior art, the present invention has the following beneficial technical effects: The present invention provides a method for aligning wires in spatial multi-angle small hole electromachining. Three-dimensional software is used to directly measure the angle α between the axis of the small hole and the XY plane. After establishing a spatial coordinate system, the electrode angle is directly adjusted by swinging the B axis so that the electrode axis coincides with the theoretical small hole axis, completely avoiding the fixture error transmission path. An initial reference is established by returning the X, Y, and B axes to zero, aligning the electrode axis with the worktable's rotation center. After swinging the B axis at the angle α, the electrode is used to touch the part's outer circle and axial reference surface to obtain the part's actual position data in real time. The coordinates of the electrode's front end's rotation center are inferred through geometric relationships, and a coordinate mapping relationship between the electrode and the part is established, achieving precise calibration of the eccentric electrode's spatial position.

[0016] Furthermore, the coordinates of the electrode relative to the workpiece coordinate system when it is in the first processing position are calculated based on the known projection angle and the position coordinates of the small hole, and the electrode is directly moved to the measured coordinates for processing. This can effectively solve the problem of being unable to align the tool when using a wire alignment block, and at the same time has better wire alignment accuracy. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] Figure 1 This is a flow chart of the wire alignment method for spatial multi-angle small hole electrical machining in an embodiment of the present invention; Figure 2 This is a schematic diagram of the tool setting operation in an embodiment of the present invention; DETAILED DESCRIPTION In order to enable those skilled in the art to better understand the solutions of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the embodiments described are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts should fall within the scope of protection of the present invention.

[0018] The present invention is described in further detail below with reference to the accompanying drawings: See also Figure 1 The present invention provides a method for wire alignment in spatial multi-angle small hole electrical machining, comprising: Step 1, measuring the spatial angle α between the axis of the small hole and the XY plane; Specifically, the angle α is determined by jointly determining the projection angle θ1 of the axis of the aperture on the XY plane and the projection angle θ2 of the axis of the aperture on the XZ plane.

[0019] The angle α is determined by the projection angle θ1 of the pinhole axis on the XY plane and the projection angle θ2 of the XZ plane using 3D modeling software. The 3D modeling software uses the space vector analysis method to calculate the angle α by inputting the coordinates of the two end points of the pinhole axis (x1, y1, z1) and (x2, y2, z2). The calculation expression of the angle α is as follows: .

[0020] In the present invention, by combining these two projection angles, the position of the pinhole axis in three-dimensional space can be comprehensively and accurately determined, and then the spatial angle α between the pinhole axis and the XY plane can be accurately calculated, which greatly improves the accuracy of processing.

[0021] Step 2: Establish a spatial coordinate system when the axis of the pinhole is parallel to the XZ plane, and determine the three-dimensional coordinates of any reference point P (x0, y0, z0) on the axis according to the spatial coordinate system; Specifically, the coordinates of the reference point P are determined by homogeneous coordinate transformation. When the axis of the pinhole is parallel to the XZ plane, its spatial equation satisfies: (x-x0) / l = (y-y0) / 0 = (z-z0) / m, where l, 0, and m are the direction vector components.

[0022] After establishing this coordinate system, calculating the coordinates of points on the aperture axis becomes relatively simple. For an aperture axis parallel to the XZ plane, the 3D coordinates can be determined simply by measuring the relative positions of the points in the X, Y, and Z axes in 3D software.

[0023] Step 3: Mount the part to be processed on a fixture, which is fixed to a workbench, and perform a part alignment procedure; The part alignment procedure in the present invention is an important step before processing, and its purpose is to make the position and posture of the part in the machine tool coordinate system meet the processing requirements. Through alignment, the processing datum of the part can be determined, so that the subsequent tool path can accurately act on the specified part of the part. After the part is aligned, the tool can accurately process the part according to the design requirements, avoiding the problem of processing size deviation caused by part position deviation. For example, when processing a precision shaft part, if the alignment is inaccurate, the diameter size of the shaft may be inconsistent, affecting the assembly and performance of the part. Through precise alignment, the diameter size of the shaft can be guaranteed to be within the specified tolerance range.

[0024] Step 4: Perform the B-axis zero return operation at a safe height to make the electrode axis coincide with the worktable rotation center; Specifically, the safety height is set to satisfy H = h + 10 (mm), where h is the maximum height of the part.

[0025] Step 5: Control the B axis to swing according to the spatial angle α between the axis of the small hole and the XY plane; By precisely controlling the B-axis to align with the angle α between the hole axis and the XY plane, the present invention ensures that the tool's cutting direction and the hole axis are completely aligned, ensuring that the resulting hole axis meets design accuracy. When the tool cuts along the hole axis, vibration and deviation during the cutting process are reduced, resulting in a more regular hole shape and improved shape accuracy indicators such as roundness and cylindricity.

[0026] Step 6: Move the electrode to touch the outer surface of the part, establish a workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the X-axis direction; Specifically, the X coordinate of the contact point between the movable electrode and the outer surface of the part is set to D / 2+d·sinα, where D is the outer diameter of the part, d is the electrode radius, and α is the B-axis swing angle (the angle between the B axis and the XY plane).

[0027] Step 7: Move the electrode to touch the axial reference surface of the part, establish the workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the Z-axis direction; Specifically, the contact point between the moving electrode and the axial reference plane of the part is set to d·cosα, where d is the electrode radius and α is the B-axis swing angle (the angle between the B axis and the XY plane).

[0028] Step 8: Establish a coordinate mapping relationship with the feature surface of the part in the X and Z axis directions through the rotation center of the electrode front end, and determine the electrode position based on the coordinate mapping relationship.

[0029] The present invention first needs to calculate the angle between the axis of the small hole and the horizontal plane and the coordinates of the electrode relative to the workpiece coordinate system when it is in the first processing position based on the known projection angle and the position coordinates of the small hole, and determine the relative position of the electrode and the part by direct contact between the electrode and the part. This can effectively solve the problem of being unable to align the tool when using a wire alignment block, and at the same time has good wire alignment accuracy. The method stated above includes measuring the angle between the axis of the small hole and the XY plane and the (X, Y, Z) coordinates of any point on the axis of the small hole through three-dimensional modeling software, and determining the precise coordinate relationship between the center of rotation of the electrode front end and the part when the electrode is tilted by direct contact between the electrode and the part. This method is suitable for wire alignment during electrical machining of multi-angle small holes on annular parts. It has been verified in actual processing. It can get rid of the defects of traditional wire alignment methods for sealing ring parts in guides, and has certain promotion value and practical significance.

[0030] The present invention can accurately position the electrode at the hole processing position by accurately calculating the angle between the axis of the hole and the horizontal plane, as well as the coordinates of the electrode relative to the workpiece coordinate system at the first processing position, and using the electrode to directly contact the part to align the wire to determine the relative position. This ensures that the relative position error between the electrode and the hole is extremely small during the electrical machining process, effectively improving the processing accuracy of the hole, ensuring the dimensional accuracy, shape accuracy and position accuracy of the hole, and meeting the strict requirements of high-end fields such as aviation and aerospace for the processing of small holes on annular parts. When processing multi-angle holes on annular parts, traditional wire alignment methods may cause processing errors to accumulate between multiple holes due to inaccurate wire alignment. However, this method avoids the accumulation of errors through precise coordinate calculation and direct contact wire alignment, ensuring that the processing quality of each hole is stable and reliable, and improving the overall processing quality of the entire annular part.

[0031] The high-precision wire alignment and machining process of this invention reduces scrap rates due to machining errors and reduces raw material waste. It also avoids the increased labor and equipment costs associated with reworking scrapped parts, lowering overall machining costs. Precise wire alignment and machining reduce collisions and friction between electrodes and parts, lowering the risk of wear and damage to the equipment, extending its service life, and reducing repair and replacement costs.

[0032] The present invention is not only applicable to sealing ring parts in guides, but can also be widely used in the electrical machining of multi-angle small holes on other types of annular parts. Regardless of the annular parts made of different materials, sizes or structures, as long as the relevant parameters of the small holes can be obtained through three-dimensional modeling software, this method can be used for wire alignment and processing, with strong adaptability and versatility. The inclination angle and processing position of the electrode can be flexibly adjusted according to different processing requirements to achieve the processing of small holes of different angles and depths, meeting the diverse needs of aviation, aerospace, automobile and other fields for the processing of multi-angle small holes on annular parts.

[0033] Example 1 The specific process of wire alignment for multi-angle small hole electromachining of the sealing ring part in the guide is as follows: Step 1: Calculate the spatial angle α between the axis of the small hole and the XY plane Input data: Import the sealing ring CAD model through 3D modeling software (such as UG / CATIA) and extract the coordinates of the two end points of the small hole axis (x1, y1, z1) and (x2, y2, z2).

[0034] Calculation example: If the coordinates of the endpoints of the small hole axis are (0,0,0) and (5,3,4), the angle α is calculated as follows: ΔZ = 4-0 = 4mm ΔX = 5-0 = 5mm, ΔY = 3-0 = 3mm = ≈ 34.4° Step 2: Establish a spatial coordinate system and determine the reference point P Coordinate system establishment: Take the sealing ring axis as the Z axis and establish a right-handed coordinate system.

[0035] Reference point P selection: Select the keyhole entry point as the reference point and determine its coordinates through homogeneous coordinate transformation. For example, if the keyhole axis is parallel to the XZ plane and the entry point offset is (2,0,0), the coordinates of reference point P are (2,0,0).

[0036] Step 3: Parts installation and alignment Fixture design: A combination of vacuum suction cup and centering shaft is used. The clearance between the centering shaft and the inner hole of the sealing ring is matched (H7 / g6), and the repeat positioning accuracy is 0.005mm.

[0037] Alignment procedure: 3-point alignment using a laser probe, automatically compensating for part end face runout (≤0.01mm) and coaxiality error (≤0.02mm).

[0038] Step 4: B-axis zero return and safety height setting X, Y, and B axis zero return: Control the B axis to rotate to 0° so that the electrode axis coincides with the worktable rotation center.

[0039] Safety height H: H = h+10 (mm) = 30 + 10 = 40mm (h=30mm is the part height).

[0040] Step 5: B-axis Angle Swing Angle control: Based on α=34.4°, control the B-axis to swing to the target angle, with a swing error of ≤0.005°.

[0041] Dynamic calibration: Real-time feedback of the B-axis angle is obtained through the encoder, combined with PID algorithm closed-loop control.

[0042] Step 6: The electrode touches the outer surface of the part The X coordinate of the touch point is set as follows: X = D / 2 + d·sinα = 25 + 2·sin34.4° ≈ 25 + 1.13 = 26.13 mm.

[0043] Touch force control: Use force sensor to control the touch force to ≤0.5N to avoid part deformation.

[0044] Step 7: The electrode touches the axial reference surface of the part Touch point Z coordinate setting: Z = d·cosα = 2*cos34.4° ≈ 1.650mm.

[0045] Touch force control: Use force sensor to control the touch force to ≤0.5N to avoid part deformation.

[0046] Step 8: Coordinate Mapping and Processing Verification Homogeneous transformation matrix construction: Translation component (tx,ty,tz) = (0,0,0); The rotation component R(α,β,γ) = R(34.4°,0°,0°).

[0047] Processing Verification: After machining the first piece, use CMM to check the position accuracy of the small hole (measured 0.2mm) and the angular deviation (measured 0.08°); By optimizing the homogeneous transformation matrix parameters through iterative compensation, the subsequent processing qualification rate was increased to 98%.

[0048] This embodiment gets rid of the dependence on the wire block, eliminates the error transmission of the fixture, and is suitable for the processing of thin-walled parts.

[0049] In summary, the present invention provides a method for aligning wires in spatial multi-angle small hole electrical machining. The angle α between the axis of the small hole and the XY plane is directly measured by three-dimensional software. After establishing a spatial coordinate system, the electrode angle is directly adjusted by swinging the B axis so that the electrode axis coincides with the theoretical small hole axis, completely avoiding the fixture error transmission path. The initial reference is established by returning the X, Y, and B axes to zero, so that the electrode axis coincides with the workbench rotation center. After swinging the B axis at the angle α, the electrode is used to touch the outer circle and axial reference surface of the part to obtain the actual position data of the part in real time. The coordinates of the rotation center of the electrode front end are reversed through geometric relationships to establish a coordinate mapping relationship between the electrode and the part, and a workpiece coordinate system is constructed to achieve precise calibration of the spatial position of the eccentric electrode.

[0050] When it comes to calibrating the spatial position of an eccentric electrode, traditional methods often have the problem of insufficient accuracy, resulting in large position deviations of the small holes. The present invention establishes an initial reference through the zero return operation of the X, Y, and B axes, so that the electrode axis coincides with the center of rotation of the worktable, laying the foundation for subsequent precise calibration. After swinging the B axis at an angle α, the actual position data of the part can be obtained in real time by using the electrode to touch the outer circle and axial reference surface of the part. Then, the coordinates of the center of rotation of the front end of the electrode are inferred through rigorous geometric relationships to establish a coordinate mapping relationship between the electrode and the part. This precise calibration method can ensure that the position of the eccentric electrode in space is accurate, thereby ensuring the position accuracy of the small hole, so that the processed small hole can be accurately positioned at the specified position of the workpiece.

[0051] The method of the present invention uses 3D software to directly calculate the angle α between the axis of different small holes and the XY plane. It then uses B-axis oscillation to rapidly adjust the electrode angle, enabling rapid adaptation to the machining requirements of small holes at varying angles. This eliminates the need for frequent fixture changes and complex adjustments when machining workpieces with multiple small holes at varying angles, significantly shortening the machining cycle and improving production efficiency.

[0052] The wire alignment method of the present invention does not rely on a specific fixture. Instead, it establishes a spatial coordinate system and uses electrodes to contact the part to obtain actual position data. Therefore, the method is applicable to workpieces of various shapes and sizes, enabling precise wire alignment for both regular and irregular shapes. This makes the method widely applicable in the field of mechanical manufacturing, meeting the needs of diverse customers.

[0053] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit it. Although the present invention has been described in detail with reference to the above embodiments, ordinary technicians in the field should understand that the specific implementation methods of the present invention can still be modified or replaced by equivalents. Any modification or equivalent replacement that does not depart from the spirit and scope of the present invention should be covered by the scope of protection of the claims of the present invention.

Claims

1. A method for wire alignment in multi-angle small hole electrical machining, characterized in that: include: Calculate the spatial angle α between the axis of the small hole and the XY plane; Establish a spatial coordinate system when the axis of the small hole is parallel to the XZ plane. Determine the three-dimensional coordinates of the reference point P (x0, y0, z0) on the axis according to the spatial coordinate system. The reference point P (x0, y0, z0) should be selected at the entrance of the small hole. The part to be processed is mounted on a fixture, the fixture is fixed to a workbench, and a part alignment procedure is performed; Perform the X, Y, and B axis zero return operation at a safe height to make the electrode axis coincide with the worktable rotation center; According to the spatial angle α between the axis of the small hole and the XY plane, the B axis is controlled to swing at an angle; Move the electrode to touch the outer surface of the part, establish the workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the X-axis direction; Move the electrode to touch the axial reference surface of the part, establish the workpiece coordinate system, and determine the position of the rotation center of the electrode front end in the Z-axis direction; The coordinate mapping relationship between the front end rotation center of the electrode and the feature surface of the part is established in the X and Z axis directions. The electrode position is determined according to the coordinate mapping relationship, the workpiece coordinate system is constructed, and the electrode is moved to point P (x0, y0, z0) for processing.

2. A method for wire alignment in spatial multi-angle small hole electrical machining according to claim 1, characterized in that: In the step of measuring the spatial angle α between the axis of the pinhole and the XY plane, the angle α is determined by jointly determining the projection angle θ1 of the pinhole axis on the XY plane and the projection angle θ2 on the XZ plane.

3. A method for wire alignment in spatial multi-angle small hole electrical machining according to claim 2, characterized in that: The angle α is determined by using three-dimensional modeling software through the projection angle θ1 of the axis of the small hole on the XY plane and the projection angle θ2 of the XZ plane.

4. A method for wire alignment in spatial multi-angle small hole electrical machining according to claim 3, characterized in that: The three-dimensional modeling software uses a space vector analysis method to calculate the angle α by inputting the coordinates of the two end points of the small hole axis (x1, y1, z1) and (x2, y2, z2).

5. A method for wire alignment in spatial multi-angle small hole electrical machining according to claim 4, characterized in that: The calculation expression of the angle α is as follows: 。 6. The method for wire alignment in spatial multi-angle small hole electrical machining according to claim 1, characterized in that: The coordinates of the reference point P are determined by homogeneous coordinate transformation.

7. The method for wire alignment in spatial multi-angle small hole electrical machining according to claim 6, characterized in that: The homogeneous coordinate transformation process includes that when the axis of the pinhole is parallel to the XZ plane, its space equation satisfies: (x-x0) / l = (y-y0) / 0 = (z-z0) / m, where l, 0, and m are direction vector components.

8. The method for wire alignment in spatial multi-angle small hole electrical machining according to claim 1, characterized in that: In the step of performing the B-axis zero return operation at the safety height to make the electrode axis coincide with the worktable rotation center, the safety height is set to satisfy H=h+10 (mm), where h is the maximum height of the part.

9. The method for wire alignment in spatial multi-angle small hole electrical machining according to claim 1, characterized in that: In the step of causing the movable electrode to touch the outer cylindrical surface of the part, establishing a workpiece coordinate system, and determining the position of the rotation center of the electrode front end in the X-axis direction, the X coordinate of the touch point between the movable electrode and the outer cylindrical surface of the part is set to D / 2+d·sinα, where D is the outer cylindrical diameter of the part, d is the electrode radius, and α is the B-axis swing angle.

10. The method for wire alignment in spatial multi-angle small hole electrical machining according to claim 1, characterized in that: The movable electrode touches the axial reference plane of the part, establishes the workpiece coordinate system, and determines the position of the rotation center of the electrode front end in the Z-axis direction. In the step, the contact point between the movable electrode and the axial reference plane of the part is set to d·cosα, where d is the electrode radius and α is the B-axis swing angle.

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