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CN113478272B - Full-working-space thermal error measuring method of five-axis numerical control machine tool based on R-test measuring instrument - Google Patents

Full-working-space thermal error measuring method of five-axis numerical control machine tool based on R-test measuring instrument Download PDF

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CN113478272B
CN113478272B CN202110833764.9A CN202110833764A CN113478272B CN 113478272 B CN113478272 B CN 113478272B CN 202110833764 A CN202110833764 A CN 202110833764A CN 113478272 B CN113478272 B CN 113478272B
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thermal error
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CN113478272A (en
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苗恩铭
张仁杰
杨勇
江涛
谭人铭
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Chongqing University of Technology
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Chongqing University of 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
    • B23Q3/00Devices holding, supporting, or positioning work or tools, of a kind normally removable from the machine
    • B23Q3/155Arrangements for automatic insertion or removal of tools, e.g. combined with manual handling
    • 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
    • B23Q15/007Automatic control or regulation of feed movement, cutting velocity or position of tool or work while the tool acts upon the workpiece
    • B23Q15/18Compensation of tool-deflection due to temperature or force

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Abstract

The invention relates to the field of thermal error measurement of five-axis numerical control machines, and discloses a method for measuring the thermal error of a whole working space of a five-axis numerical control machine based on an R-test measuring instrument, wherein the R-test measuring instrument is configured in a tool magazine of the five-axis numerical control machine, and a standard ball is arranged on a worktable of the machine and is numbered; controlling a machine tool spindle to drive a test measuring instrument to sequentially measure the spherical center coordinates of each standard ball to obtain first batch of spherical center coordinate data serving as reference spherical center coordinate data; repeating the following steps until the obtained data volume meets the requirement: switching the R-test measuring instrument and the cutter through a cutter changing system, and operating the five-axis machine tool to generate heat when the cutter is switched; when the standard ball is switched to the R-test measuring instrument, the sphere center coordinates of each standard ball are measured in sequence to obtain sphere center coordinate data; and calculating the thermal error according to the acquired sphere center coordinate data. The invention breaks through the limitation that the R-test measuring instrument can only be suitable for measuring the thermal error of the local working space, and expands the application of the R-test measuring instrument in the measurement of the thermal error of the full working space of the five-axis numerical control machine tool.

Description

Full-working-space thermal error measuring method of five-axis numerical control machine tool based on R-test measuring instrument
Technical Field
The invention relates to the field of thermal error measurement of five-axis numerical control machines.
Background
The development quality of the numerically controlled machine tool is an important index for measuring the level of equipment manufacturing in China, which is called an industrial master machine of the equipment manufacturing industry. The thermal error caused by temperature accounts for 40-70% of the total error of machine tool machining, and the evaluation of the thermal error performance of the numerical control machine tool is one of the indispensable core technologies of high-end numerical control equipment.
The thermal characteristic measurement technology is very important in the field of machine tool research, and currently, the thermal error measurement of the machine tool adopts the international standard part 3 of the machine tool inspection general rule: determination of thermal effects (ISO 230-3. However, the method mainly carries out single-point measurement on the working space of the three-axis numerical control machining center, the thermal error change condition on the working space of the whole machine tool cannot be reflected, and the five-axis machine tool has two more rotating shafts compared with the three-axis machine tool, and the rotating and swinging motion of the workbench or the main shaft interferes with the measurement of a five-point method, so that the method is not suitable for the thermal error measurement of the whole working space of the five-axis numerical control machine tool.
The R-test measuring instrument is a sphere center measuring device and comprises a measuring base and three displacement sensors, wherein a certain arrangement mode is arranged among the three displacement sensors, and the three displacement sensors are used for sensing the sphere center position coordinates of a standard sphere.
At present, an R-test measuring instrument is generally arranged on a working table of a five-axis machine tool, a standard ball is arranged on a main shaft to measure the thermal error of the five-axis machine tool, and the single R-test measuring instrument can only be suitable for measuring the thermal error of the local working space of the five-axis machine tool due to the limited measuring range of the R-test measuring instrument. If a plurality of R-test measuring instruments are installed, the cost is high, and the R-test measuring instruments are large in size and are in wired connection, so that the R-test measuring instruments are difficult to arrange on a workbench of a five-axis machine tool.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a method for measuring the thermal error of the whole working space of a five-axis numerical control machine tool based on an R-test measuring instrument, and solves the technical problem of how to realize the measurement of the thermal error of the whole working space of the five-axis numerical control machine tool by using the R-test measuring instrument.
In order to solve the technical problems, the invention adopts the following technical scheme: a five-axis numerical control machine tool full-working-space thermal error measuring method based on an R-test measuring instrument comprises the following steps:
the R-test measuring instrument is configured in a tool magazine of a five-axis numerical control machine tool, so that the R-test measuring instrument and a tool can be switched through a tool changing system; and mounting the R-test measuring instrument on a main shaft of the machine tool in a mode of mounting a cutter;
arranging standard balls on a machine tool workbench and numbering the standard balls: a central support is arranged in the center of a machine tool workbench, and a plurality of edge supports are uniformly distributed around the central support; the central support is provided with standard balls through connecting rods parallel to the table top of the machine tool workbench, a plurality of layers of central standard balls are arranged on the central support from top to bottom, and the connecting rods of the upper and lower adjacent central standard balls are parallel to each other; the central standard balls of each layer are distributed annularly, and the annular distribution range of the central standard balls is gradually enlarged from top to bottom; the edge supports are provided with standard balls through connecting rods parallel to the working table of the machine tool, a plurality of layers of edge standard balls are arranged on each edge support from top to bottom, and the connecting rods of the adjacent edge standard balls are parallel to each other; the edge standard balls of the upper equal-height layers of each edge support are distributed in a ring shape around the central support; the standard balls at the edge of any layer are not equal to the standard balls at the center of any layer in height;
controlling a machine tool spindle to drive the R-test measuring instrument to sequentially measure the sphere center coordinate of each standard sphere to obtain first batch of sphere center coordinate data serving as reference sphere center coordinate data;
repeating the following steps until the obtained data volume meets the requirement: switching the R-test measuring instrument and the cutter through a cutter changing system, and operating the five-axis machine tool to generate heat when the cutter is switched; when the standard ball is switched to the R-test measuring instrument, the sphere center coordinates of each standard ball are measured in sequence to obtain sphere center coordinate data;
and calculating the thermal error according to the acquired sphere center coordinate data.
Further, the Z-axis axial thermal error is:
Figure BDA0003175970760000021
wherein, Δ Z i The thermal error of the ith standard ball along the Z-axis direction at the position of the working space of the ith standard ball is represented; />
Figure BDA0003175970760000022
The Z-axis reference coordinate of the ith standard ball is represented, namely the first batch of Z-axis coordinates of the ith standard ball; />
Figure BDA0003175970760000023
The nth batch Z-axis coordinate of the ith standard sphere is represented.
Further, the X-axis axial thermal error is:
Figure BDA0003175970760000024
wherein, Δ X i Representing the thermal error along the X-axis direction on the position of the working space where the ith standard ball is located; />
Figure BDA0003175970760000025
The X-axis reference coordinate of the ith standard ball is represented, namely the X-axis coordinate of the first batch of the ith standard ball; />
Figure BDA0003175970760000026
The n-th lot X-axis coordinates of the i-th standard sphere are shown.
Further, the Y-axis axial thermal error is:
Figure BDA0003175970760000027
wherein, Δ Y i Representing the thermal error along the Y-axis direction on the working space position where the ith standard ball is located; />
Figure BDA0003175970760000028
The Y-axis reference coordinate of the ith standard ball is represented, namely the Y-axis coordinate of the first batch of the ith standard ball; />
Figure BDA0003175970760000029
The n-th lot Y-axis coordinates of the i-th standard ball are shown.
Further, the thermal error of the angle generated by the rotation around the Y axis is:
Figure BDA0003175970760000031
wherein,
Figure BDA0003175970760000032
represents the angular thermal error, Δ X, generated by the rotation around the Y axis at the working space position where the ith standard sphere is located i Representing the thermal error along the X-axis direction on the position of the working space where the ith standard ball is located; Δ X j Showing the direction along the X-axis at the working space position of the jth standard ballThe thermal error in the direction of the motion, and the link of the jth standard ball is parallel to the link of the ith standard ball.
Further, the angular thermal error generated by rotation about the X-axis is:
Figure BDA0003175970760000033
wherein, Δ aX i Representing the angular thermal error, Δ X, produced by rotation about the Y axis at the location of the workspace in which the ith calibration sphere is located i Representing the thermal error along the Y-axis direction on the working space position where the ith standard ball is located; Δ X j And the thermal error along the Y-axis direction at the position of the working space where the jth standard ball is located is shown, and the connecting rod of the jth standard ball is parallel to the connecting rod of the ith standard ball.
Furthermore, the central support includes base and the rectangle stand of setting on the base, and the base passes through closing device to be fixed on the lathe workstation, the cross section of rectangle stand is the square, and every layer of central authorities standard ball all includes 4 standard balls to be connected to on 4 sides of rectangle stand through the connecting rod respectively.
Further, edge brackets are correspondingly arranged on 4 extension lines of the diagonal line of the rectangular upright column to form annular distribution; the connecting rods of each layer of edge standard balls on each edge bracket are arranged on corresponding extension lines of diagonals of the rectangular upright posts.
Furthermore, the edge support is a step-shaped support with a hollow interior, the edge standard balls of each layer are respectively installed on the vertical face of each step of the step-shaped support, and the step-shaped support is fixed on a machine tool workbench through a pressing device inserted into the step-shaped support.
Furthermore, the straight line where the connecting rod of any edge standard ball is located and the straight line where the connecting rod of any edge standard ball is located are non-coplanar straight lines; the measurements were performed on the standard spheres of each layer in one of the following sampling paths: sampling path a): from outside to inside and from bottom to top, sampling is spirally raised; sampling path b): from inside to outside, and from top to top, the samples were taken spirally down.
Compared with the prior art, the invention has the following beneficial effects:
1. the invention breaks through the limitation that the R-test measuring instrument in the prior art can only be applied to the thermal error measurement of the local working space of the five-axis machine tool, and expands the application of the R-test measuring instrument in the thermal error measurement of the whole working space, thereby fully exerting the advantage that the R-test measuring instrument can directly detect the coordinates of the sphere center, improving the sampling efficiency and improving the thermal error measurement efficiency.
2. The invention realizes the sampling of the thermal error of the five-axis numerical control machine tool in the whole working space by exchanging the installation position between the R-test measuring instrument and the standard ball and simultaneously carrying out innovative design on the layout of the standard ball, thereby improving the data base for the thermal error calculation.
3. According to the invention, the standard balls are distributed in an XY plane to form concentric circles covering the plane of the workbench of the machine tool, and different height ranges are covered in the Z-axis direction through multiple layers of standard balls, so that the whole working space of the machine tool is covered.
4. The calculation of the angle thermal error takes the parallel position relation between an upper standard ball and a lower standard ball on the same bracket as a geometric basis, and meanwhile, the calculation result of the axial thermal error is utilized, so that the data acquisition quantity is simplified.
5. The straight line of the connecting rod of any edge standard ball and the straight line of the connecting rod of any edge standard ball are non-coplanar straight lines, so that the standard balls cover different directions of a working space of a machine tool as much as possible under the condition of sparse distribution, and meanwhile, the R-test measuring instrument can be well prevented from interfering in the movement process due to sparse distribution.
6. The invention has continuous sampling paths, can improve the sampling efficiency and shorten the sampling time.
7. The central support adopts a rectangular upright post, has smaller volume, and reserves more space for a central standard ball so as to be beneficial to more comprehensively covering the central area of the working space of the machine tool; the edge support adopts a stepped support, and the space hierarchy is rich, so that the edge standard ball can more comprehensively cover the edge area of the working space of the machine tool.
Drawings
FIG. 1 is a schematic view of the overall mounting structure in this embodiment;
FIG. 2 is an enlarged view of a portion of FIG. 1;
fig. 3 is a schematic diagram of a sampling path in this embodiment.
Detailed Description
The present invention will be described in further detail with reference to the drawings and preferred embodiments.
One), installation instructions
The R-test measuring instrument is configured in a tool magazine of the five-axis numerical control machine tool, so that the R-test measuring instrument and a tool can be switched through a tool changing system; and the R-test measuring instrument is installed on the main shaft of the machine tool in a mode of installing the tool. The positioning of the R-test meter 10 is achieved by controlling the movement of the machine tool spindle.
The standard balls are arranged on the machine table 8 and the standard balls 2 are numbered (refer to 2-1 to 2-24 in fig. 3): a central support is arranged in the center of a machine tool workbench, and a plurality of edge supports are uniformly distributed around the central support; the central support is provided with standard balls through connecting rods parallel to the table top of the machine tool workbench, a plurality of layers of central standard balls are arranged on the central support from top to bottom, and the connecting rods of the upper and lower adjacent central standard balls are parallel to each other; the central standard balls of each layer are distributed annularly, and the annular distribution range of the central standard balls is gradually enlarged from top to bottom; the edge supports are provided with standard balls through connecting rods parallel to the working table of the machine tool, a plurality of layers of edge standard balls are arranged on each edge support from top to bottom, and the connecting rods of the adjacent edge standard balls are parallel to each other; the edge standard balls of the upper level of each edge support are distributed annularly around the central support.
In this embodiment, the straight line where the connecting rod of any edge standard ball is located and the straight line where the connecting rod of any edge standard ball is located are coplanar straight lines. The straight line of the connecting rod of any edge standard ball and the straight line of the connecting rod of any edge standard ball are non-coplanar straight lines, so that the standard balls cover different directions of a working space of a machine tool as much as possible under the condition of sparse distribution, and meanwhile, the R-test measuring instrument can be well prevented from interfering in the movement process due to sparse distribution.
In this specific embodiment, the central support 9 includes a base and a rectangular column disposed on the base, the base is fixed on the machine tool workbench through a pressing device, the cross section of the rectangular column is square, each layer of central standard balls includes 4 standard balls, and the central standard balls are connected to 4 sides of the rectangular column through connecting rods respectively.
In the specific embodiment, the edge brackets are correspondingly arranged on 4 extension lines of the diagonal line of the rectangular upright column to form annular distribution; the connecting rods of each layer of edge standard balls on each edge bracket are arranged on corresponding extension lines of diagonals of the rectangular upright posts.
In this embodiment, the edge support 3 is a stepped support with a hollow interior, the edge standard balls of each layer are respectively installed on the vertical surfaces of the steps of the stepped support, and the stepped support is fixed on the machine tool workbench through a pressing device inserted into the stepped support.
The central support can be cylindrical or prismatic, even the combination of stepped supports, and the edge supports can also be cylindrical or prismatic. Threaded holes are formed in the central support and the edge support, the connecting rod is a threaded rod, and the connecting rod is in threaded connection with the central support and the edge support. However, the central support adopts a rectangular upright post, has smaller volume, and leaves more space for the central standard ball, so as to be beneficial to more comprehensively covering the central area of the working space of the machine tool; the edge support adopts a stepped support, and the space hierarchy is rich, so that the edge standard ball can more comprehensively cover the edge area of the working space of the machine tool.
The pressing device comprises a T-shaped bolt 4, a nut 5, a pressing plate 6 and a triangular toothed pressing plate positioning clamp 7, and the pressing device can be realized by adopting the prior art, and the details are not needed to be repeated.
Two), acquiring sampling data
The center coordinates of each standard ball are measured by operating the R-test measuring instrument 10 according to the sampling path to obtain the center coordinates of the standard balls
Figure BDA0003175970760000051
And records and stores the data, in the present embodiment,i =1,2,3 \ 823024, representing 24 standard spheres, where n =1,2,3 \ 8230m, represents a batch of measurement data; e.g. based on->
Figure BDA0003175970760000052
The first lot of center coordinate data expressed as the first standard ball is used as the reference center coordinate data.
Referring to fig. 3, the measurement of the standard sphere of each layer is performed in one of the following sampling paths: sampling path a): from outside to inside and from bottom to top, sampling is spirally raised; sampling path b): from inside to outside, and from top to top, the samples were taken spirally down.
After the first batch of data is processed, the sphere center measuring device 10 is replaced into a tool magazine of the machine tool, a tool is taken out, and then the five-axis machine tool is operated according to a preset program to heat the five-axis machine tool;
repeating the following steps until the obtained data volume meets the requirement: switching the R-test measuring instrument and the cutter through a cutter changing system, and operating the five-axis machine tool to generate heat when the cutter is switched; and when the standard ball is switched to the R-test measuring instrument, sequentially measuring the sphere center coordinates of each standard ball to obtain the sphere center coordinate data.
Third), data processing
Thermal error measurement is realized in principle by relative measurement methods, so that thermal error displacements along X, Y and Z and angular deviations around X and Y directions of each measurement point can be obtained.
The Z-axis axial thermal error is as follows:
Figure BDA0003175970760000061
wherein, Δ Z i The thermal error of the ith standard ball along the Z-axis direction at the position of the working space of the ith standard ball is represented; />
Figure BDA0003175970760000062
The Z-axis reference coordinate of the ith standard ball is represented, namely the Z-axis coordinate of the first batch of the ith standard ball; />
Figure BDA0003175970760000063
N-th batch representing the ith standard ballZ-axis coordinates.
The X-axis axial thermal error is:
Figure BDA0003175970760000064
wherein, Δ X i The thermal error along the X-axis direction on the working space position where the ith standard ball is located is represented; />
Figure BDA0003175970760000065
The X-axis reference coordinate of the ith standard ball is represented, namely the X-axis coordinate of the first batch of the ith standard ball; />
Figure BDA0003175970760000066
The n-th lot X-axis coordinates of the i-th standard sphere are shown.
The Y-axis axial thermal error is:
Figure BDA0003175970760000067
wherein, delta Y i Representing the thermal error along the Y-axis direction on the working space position where the ith standard ball is located; />
Figure BDA0003175970760000068
The Y-axis reference coordinate of the ith standard ball is represented, namely the Y-axis coordinate of the first batch of the ith standard ball; />
Figure BDA0003175970760000069
The n-th lot Y-axis coordinates of the i-th standard ball are shown.
The angular thermal error generated by rotation about the Y-axis is:
Figure BDA00031759707600000610
wherein, delta alpha Y i Represents the angular thermal error, Δ X, generated by the rotation around the Y axis at the working space position where the ith standard sphere is located i Representing the thermal error along the X-axis direction on the position of the working space where the ith standard ball is located; Δ X j Represents the thermal error along the X-axis direction at the working space position of the jth standard ball,and the link of the jth standard ball is parallel to the link of the ith standard ball.
The angular thermal error produced by rotation about the X-axis is:
Figure BDA0003175970760000071
wherein, delta alpha X i Representing the angular thermal error, Δ X, produced by rotation about the Y axis at the location of the workspace in which the ith calibration sphere is located i Representing the thermal error along the Y-axis direction on the working space position where the ith standard ball is located; Δ X j And the thermal error along the Y-axis direction at the position of the working space where the jth standard ball is located is shown, and the connecting rod of the jth standard ball is parallel to the connecting rod of the ith standard ball.
The invention breaks through the limitation that the R-test measuring instrument in the prior art can only be applied to the thermal error measurement of the local working space of the five-axis machine tool, and expands the application of the R-test measuring instrument in the thermal error measurement of the whole working space, thereby fully exerting the advantage that the R-test measuring instrument can directly detect the coordinates of the sphere center, improving the sampling efficiency and improving the thermal error measurement efficiency.

Claims (8)

1. A five-axis numerical control machine tool full-working-space thermal error measuring method based on an R-test measuring instrument is characterized by comprising the following steps:
the R-test measuring instrument is configured in a tool magazine of a five-axis numerical control machine tool, so that the R-test measuring instrument and a tool can be switched through a tool changing system; and mounting the R-test measuring instrument on a main shaft of the machine tool in a mode of mounting a cutter;
arranging and numbering standard balls on a machine tool workbench: a central support is arranged in the center of a machine tool workbench, and a plurality of edge supports are uniformly distributed around the central support; the central support is provided with standard balls through connecting rods parallel to the table top of the machine tool workbench, a plurality of layers of central standard balls are arranged on the central support from top to bottom, and the connecting rods of the upper and lower adjacent central standard balls are parallel to each other; the central standard balls of each layer are distributed annularly, and the annular distribution range of the central standard balls is gradually enlarged from top to bottom; the edge supports are provided with standard balls through connecting rods parallel to the working table of the machine tool, a plurality of layers of edge standard balls are arranged on each edge support from top to bottom, and the connecting rods of the adjacent edge standard balls are parallel to each other; the edge standard balls of the upper equal-height layers of each edge support are distributed in a ring shape around the central support; the central support comprises a base and a rectangular upright post arranged on the base, the base is fixed on a machine tool workbench through a pressing device, the cross section of the rectangular upright post is square, each layer of central standard balls comprises 4 standard balls, and the central standard balls are respectively connected to 4 side faces of the rectangular upright post through connecting rods; correspondingly arranging edge brackets on 4 extension lines of the diagonal line of the rectangular upright column to form annular distribution; the connecting rods of each layer of edge standard balls on each edge bracket are arranged on corresponding extension lines of diagonals of the rectangular upright posts;
controlling a machine tool spindle to drive the R-test measuring instrument to sequentially measure the sphere center coordinate of each standard sphere to obtain first batch of sphere center coordinate data serving as reference sphere center coordinate data;
repeating the following steps until the obtained data volume meets the requirement: switching the R-test measuring instrument and the cutter through a cutter changing system, and operating the five-axis machine tool to generate heat when the cutter is switched; when the standard ball is switched to the R-test measuring instrument, the sphere center coordinates of each standard ball are measured in sequence to obtain sphere center coordinate data;
and calculating the thermal error according to the acquired sphere center coordinate data.
2. The method for measuring the thermal error of the full working space of the five-axis numerical control machine tool based on the R-test measuring instrument as claimed in claim 1, wherein the edge support is a stepped support with a hollow interior, each layer of edge standard balls is respectively installed on the vertical surface of each step of the stepped support, and the stepped support is fixed on a machine tool workbench through a pressing device inserted into the stepped support.
3. The method for measuring the thermal error of the full working space of the five-axis numerical control machine tool based on the R-test measuring instrument is characterized by comprising the following steps of,the Z-axis axial thermal error is as follows:
Figure FDA0003841183490000011
wherein, Δ Z i The thermal error of the ith standard ball along the Z-axis direction at the position of the working space of the ith standard ball is represented;
Figure FDA0003841183490000012
the Z-axis reference coordinate of the ith standard ball is represented, namely the Z-axis coordinate of the first batch of the ith standard ball;
Figure FDA0003841183490000021
the Z-axis coordinate of the nth lot of the ith standard sphere is shown.
4. The method for measuring the thermal error of the full working space of the five-axis numerical control machine tool based on the R-test measuring instrument as claimed in claim 3, wherein the X-axis axial thermal error is as follows:
Figure FDA0003841183490000022
wherein, Δ X i Representing the thermal error along the X-axis direction on the position of the working space where the ith standard ball is located;
Figure FDA0003841183490000023
the X-axis reference coordinate of the ith standard ball is represented, namely the X-axis coordinate of the first batch of the ith standard ball;
Figure FDA0003841183490000024
the nth lot X-axis coordinate of the ith standard sphere is represented.
5. The R-test measuring instrument-based thermal error measurement method for the full-working space of the five-axis numerical control machine tool is characterized in that the Y-axis axial thermal error is as follows: delta Y i =Y i n -Y i 1 Wherein, Δ Y i Representing the thermal error along the Y-axis direction on the working space position where the ith standard ball is located; y is i 1 The Y-axis reference coordinate of the ith standard ball is represented, namely the Y-axis coordinate of the first batch of the ith standard ball; y is i n The n-th lot Y-axis coordinates of the i-th standard ball are shown.
6. The method for measuring the thermal error of the full working space of the five-axis numerical control machine tool based on the R-test measuring instrument as claimed in claim 4, wherein the thermal error of the angle generated by the rotation around the Y axis is as follows:
Figure FDA0003841183490000025
wherein, delta alpha Y i Representing the angular thermal error, Δ X, produced by rotation about the Y axis at the location of the workspace in which the ith calibration sphere is located i Representing the thermal error along the X-axis direction on the position of the working space where the ith standard ball is located; Δ X j The thermal error along the X-axis direction at the working space position of the jth standard ball is shown, and the connecting rod of the jth standard ball is parallel to the connecting rod of the ith standard ball.
7. The method for measuring the thermal error of the five-axis numerical control machine tool based on the R-test measuring instrument in the whole working space is characterized in that the thermal error of the angle generated by the rotation around the X axis is as follows:
Figure FDA0003841183490000026
wherein, delta alpha X i Representing the angular thermal error, Δ Y, produced by rotation about the Y axis at the location of the workspace in which the ith calibration sphere is located i The thermal error along the Y-axis direction on the working space position where the ith standard ball is located is represented; delta Y j The thermal error along the Y-axis direction at the working space position of the jth standard ball is shown, and the connecting rod of the jth standard ball is parallel to the connecting rod of the ith standard ball.
8. The method for measuring the thermal error of the full working space of the five-axis numerical control machine tool based on the R-test measuring instrument as claimed in claim 1, wherein a straight line where the connecting rod of any edge standard ball is located and a straight line where the connecting rod of any edge standard ball is located are coplanar straight lines; the measurements were performed on the standard spheres of each layer in one of the following sampling paths: sampling path a): from outside to inside and from bottom to top, sampling is spirally raised; sampling path b): from inside to outside, and from top to top, the samples were taken spirally down.
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