Eccentricity error method for machining regular polygon indexable blade
By establishing a mathematical model and using CNC machine tool workpiece fixtures, the problem of eccentricity error of regular polygon indexable blade clamping is solved, accurate detection and compensation of eccentricity error is achieved, and the processing accuracy and finished product quality of the blade are improved.
Patent Information
- Application Number
- CN202510465384.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-04-15
- Publication Date
- 2025-05-13
- Estimated Expiration
- 2045-04-15
AI Technical Summary
In insert grinding, the clamping eccentric error of the regular polygon indexable insert is difficult to accurately detect and compensate, resulting in incorrect finished product size and center deviation.
By establishing a mathematical model, the workpiece fixture of CNC machine tool clamps are used to clamp the regular polygon indexable blade blank, and according to its actual geometric characteristics, the coordinate parameters of the machining parts in the horizontal and vertical directions of the bracket are calculated to obtain the offset compensation amount to ensure machining accuracy.
Accurate detection and compensation of the eccentricity error of regular polygon indexable blades is achieved, and the geometric accuracy of the blades is improved and the quality of the finished product is ensured.
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Figure CN119973742A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to a method for machining an eccentric error of a regular polygonal indexable insert, and belongs to the technical field of machine tool insert machining. Background Art
[0002] In blade grinding, standard regular polygon indexable blade blanks are usually clamped and loaded with auxiliary tooling to control the phase error of the rotating axis B axis. However, in the actual clamping process, the geometric center of the tool often does not coincide with the rotation center of the machine tool spindle, which will inevitably cause clamping eccentricity. If this clamping error cannot be correctly compensated, it will cause incorrect part processing dimensions and center deviation. In addition, there is little public research on this issue in China, and the research depth is limited to simple blade styles, and a systematic mathematical model has not been established. In order to ensure the accuracy of the finished product, the detection of blade eccentricity error is imminent. Summary of the invention
[0003] The technical problem to be solved by the present invention is to propose a method for processing the eccentricity error of regular polygonal indexable inserts in view of the shortcomings of the prior art, to establish a mathematical model for the eccentricity error detection of regular polygonal inserts, to clamp the regular polygonal indexable insert blank on a peripheral grinding CNC machine tool workpiece fixture, to establish an accurate regular polygonal indexable insert eccentricity error processing method model based on the regular polygonal indexable insert blank to be processed and its actual geometric characteristics on the machine tool, to obtain the coordinate parameters of the workpiece in the horizontal and vertical directions of the bracket, and then to obtain the offset compensation amount for processing to ensure the accuracy of the finished product.
[0004] In order to solve the above technical problems, the present invention proposes a method for machining the eccentric error of a regular polygon indexable insert, wherein the regular polygon indexable insert blank is clamped on a peripheral grinding CNC machine tool workpiece fixture, and according to the regular polygon indexable insert blank to be machined and its actual geometric characteristics on the machine tool, an accurate regular polygon indexable insert eccentric error machining method model is obtained to obtain the coordinate parameters of the workpiece in the horizontal and vertical directions of the bracket, and then obtain the offset compensation amount for machining; the specific machining method steps include:
[0005] 1.1 Take three sides of the workpiece and extend them to form an isosceles triangle or take four sides and extend them to form a parallelogram. Regular polygons are divided into regular odd-numbered polygons and regular even-numbered polygons. Regular odd-numbered polygons take the adjacent sides of the internal angle and their opposite sides to extend to form an isosceles triangle, and regular even-numbered polygons take two sets of opposite sides to extend to form a parallelogram. Regular triangles and regular quadrilaterals are special cases of regular odd-numbered polygons and regular even-numbered polygons.
[0006] 1.2 Determine the interior angles of a regular polygon , N is the number of edges.
[0007] 1.3 Calculate the horizontal and vertical coordinates of the workpiece , K: coordinates of a regular odd-numbered polygon , K is, , ,in The coordinates of the triangle vertices formed when calculating for a positive odd-numbered polygon; the coordinates of the positive even-numbered polygon , K is, , ,in The coordinates of the vertices of the quadrilateral formed when calculating for a positive even-numbered polygon.
[0008] 1.4 Calculate the angle between the vertical line of each side of the workpiece and the X-axis .
[0009] 1.5 According to the above , K coordinates and angles , determine the offset compensation of each side according to the following formula:
[0010] ,
[0011] in , 、....、 It is the X-axis displacement compensation amount when machining each surface.
[0012] The present invention obtains the eccentricity error data of the workpiece and uses these data for supplementary calculation, thereby improving the machining accuracy of the blade. After the experiment, the geometric accuracy of the machining blade after the eccentricity compensation is turned on is within This method is generally applicable to common regular polygon indexable inserts and has the characteristics of high efficiency, high accuracy and wide applicability. BRIEF DESCRIPTION OF THE DRAWINGS
[0013] Figure 1 It is a schematic diagram of the structure of each axis of the four-axis CNC peripheral grinding machine of the present invention.
[0014] Figure 2 It is a schematic diagram of the structure of the blade clamping body of the present invention.
[0015] Figure 3 It is a schematic diagram of the structure in Example 1 of the present invention.
[0016] Figure 4 It is a schematic diagram of an isosceles triangle established by the regular pentagon in Example 1 of the present invention.
[0017] Figure 5 It is a schematic diagram of the regular even-numbered polygon structure of the present invention. DETAILED DESCRIPTION
[0018] The specific embodiments of the present invention are further described in detail below. The technologies or products not specified in the examples are all existing technologies or conventional products that can be purchased.
[0019] Example 1: Figure 1-4 As shown in the figure, the eccentric error method of machining the regular pentagonal indexable insert is to clamp the regular pentagonal indexable insert blank on the workpiece fixture of the peripheral grinding CNC machine tool, and the regular pentagonal indexable insert is machined by relying on the peripheral grinding machine tool. The motion axes of the CNC four-axis peripheral grinding are as follows Figure 1 As shown, the rotation axis C is the base axis of the rotation axis B. The grinding wheel spindle box is installed on the X-axis, and the X-axis worktable is installed on the Y-axis.
[0020] 1.1 Take the two adjacent sides of the internal angle of the workpiece and their opposite sides to establish an isosceles triangle and determine the internal angle of the regular pentagon
[0021] =108º.
[0022] 1.2 Pre-calibrate the distance from the sensor to the center of rotation of the machine tool B axis ; Rotate B axis clockwise =120° The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance ; Rotate B axis clockwise make The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance ; Rotate B axis clockwise make The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance .
[0023] 1.3 Calculate the distance from each side to the center of rotation of the machine tool B axis:
[0024]
[0025] Let the equations of the three sides be
[0026]
[0027] To facilitate calculation, ,have to:
[0028]
[0029] From the geometric relationship, we can get the slope:
[0030]
[0031] From the distance formula from a straight line to the origin, we get: ,have to:
[0032]
[0033] Lian Li Get the coordinates of point A ,
[0034] Lian Li Get the coordinates of point B ,
[0035] Lian Li Get the coordinates of point C .
[0036] Calculate the J and K coordinates: , .
[0037] Calculate the angle between each side's perpendicular line and the X-axis :
[0038]
[0039] Calculate the offset compensation of each side, that is, decompose J and K into directions perpendicular to each side:
[0040]
[0041] Example 2: Figure 1-4 As shown in the figure, the eccentric error method of machining the equilateral triangle indexable insert is to clamp the equilateral triangle indexable insert blank on the workpiece fixture of the peripheral grinding CNC machine tool, and the equilateral triangle indexable insert is machined by relying on the peripheral grinding machine tool. The motion axes of the CNC four-axis peripheral grinding are as follows: Figure 1 As shown, the rotation axis C is the base axis of the rotation axis B. The grinding wheel spindle box is installed on the X axis, and the X axis table is installed on the Y axis. The equilateral triangle is a special example of a positive odd number. The equilateral triangle does not need to take three sides to extend to form an isosceles triangle.
[0042] 1.1 Pre-calibrate the distance from the sensor to the center of rotation of the machine tool B axis ; Rotate the B axis 60° counterclockwise, with side a pointing vertically to the right, and record the distance from the sensor to surface a ; Rotate the B axis 30° clockwise to make the b side perpendicular to the right, and record the distance from the sensor to the b side ; Rotate the B axis 60° counterclockwise, with the c side pointing vertically to the right, and record the distance from the sensor to the c surface .
[0043] 1.2 Calculate the distance from each side to the center of rotation of the machine tool B axis:
[0044]
[0045] Let the equations of the three sides be:
[0046]
[0047] To facilitate calculation, ,have to:
[0048] ,
[0049] From the geometric relationship, we can get the slope: ;
[0050] From the distance formula from a straight line to the origin, we get: ,have to:
[0051]
[0052] Lian Li get ,
[0053] Lian Li Get the coordinates of point A
[0054] Lian Li Get the coordinates of point B .
[0055] Calculate the J and K coordinates: , .
[0056] Calculate the angle between each side's perpendicular line and the X-axis :
[0057]
[0058] Calculate the offset compensation of each side, that is, decompose J and K into directions perpendicular to each side:
[0059]
[0060] Example 3: Figure 1-2 ,5, the eccentric error method of machining regular hexagonal indexable inserts is to clamp the regular hexagonal indexable insert blank on the workpiece fixture of the peripheral grinding CNC machine tool, and the regular hexagonal indexable insert is machined by the peripheral grinding machine tool. The motion axes of the CNC four-axis peripheral grinding are as follows Figure 1 As shown, the rotation axis C is the base axis of the rotation axis B. The grinding wheel spindle box is installed on the X-axis, and the X-axis worktable is installed on the Y-axis.
[0061] 1.1 Extend the two pairs of opposite sides of the regular hexagon to get the ABCD parallelogram and determine the interior angles of the regular hexagon =120º.
[0062] 1.2 Pre-calibrate the distance from the sensor to the center of rotation of the machine tool B axis ; Rotate B axis clockwise make The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance ; Rotate B axis clockwise make The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance ; Rotate B axis clockwise make The edge is perpendicular to the distance sensor and records the distance from the sensor to Face distance ; Rotate B axis clockwise Make the d side perpendicular to the distance sensor and record the distance from the sensor to the d surface ;
[0063] 1.3 Calculate the distance from each side to the center of rotation of the machine tool B axis:
[0064]
[0065] Let the equations of the four sides be
[0066]
[0067] To facilitate calculation, ,have to:
[0068]
[0069] From the geometric relationship, we can get the slope:
[0070]
[0071] From the distance formula from a straight line to the origin, we get: ,have to:
[0072]
[0073] Lian Li Get the coordinates of point B .
[0074] Lian Li Get the coordinates of point C .
[0075] Lian Li Get the coordinates of point D .
[0076] Lian Li Get the coordinates of point A ).
[0077] Calculate the J and K coordinates:
[0078] Calculate the angle between each side's perpendicular line and the X-axis :
[0079] )
[0080] Calculate the offset compensation of each side, that is, decompose J and K into directions perpendicular to each side:
[0081]
[0082] The technical contents of the present invention are explained above, but the protection scope of the present invention is not limited to the said contents. Within the knowledge scope of ordinary technicians in this field, various changes can be made to the technical contents of the present invention without departing from the purpose of the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the protection scope of the present invention.
Claims
1. A method for machining eccentricity error of regular polygonal indexable inserts, characterized in that: The regular polygon indexable insert blank is clamped on the peripheral grinding CNC machine tool workpiece fixture, and according to the regular polygon indexable insert blank to be processed and its actual geometric characteristics on the machine tool, an accurate regular polygon indexable insert eccentricity error processing method model is established to obtain the coordinate parameters of the workpiece in the horizontal and vertical directions of the bracket, and then obtain the offset compensation amount for processing; the specific processing method steps include: 1.1 Extend three sides of the workpiece to form an isosceles triangle or extend four sides to form a parallelogram; 1.2 Determine the interior angles of a regular polygon ; 1.3 Calculate the horizontal and vertical coordinates of the workpiece , K; 1.4 Calculate the angle between the vertical line of each side of the workpiece and the X-axis ; 1.5 According to the above , K coordinates and angles , determine the offset compensation of each side according to the following formula: , in , 、....、 It is the X-axis displacement compensation amount when machining each surface.
2. The method for machining eccentricity error of regular polygonal indexable inserts according to claim 1, characterized in that: The regular polygons are divided into regular odd-numbered polygons and regular even-numbered polygons; regular odd-numbered polygons take the adjacent sides of the internal angle and their opposite sides to extend to form an isosceles triangle, and regular even-numbered polygons take two sets of opposite sides to extend to form a parallelogram.
3. The method for machining eccentricity error of regular polygonal indexable inserts according to claim 1, characterized in that: The interior angle of the regular polygon , N is the number of edges.
4. The method for machining eccentricity error of regular polygonal indexable inserts according to claim 1, characterized in that: The coordinates of the regular odd-numbered polygon , K is, , ,in The coordinates of the triangle vertices formed when calculating for a positive odd-numbered polygon; the coordinates of the positive even-numbered polygon , K is, , ,in The coordinates of the vertices of the quadrilateral formed when calculating for a positive even-numbered polygon.
Citation Information
Patent Citations
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