CN118131686A - Numerical control machine tool space error modeling method and device - Google Patents

Numerical control machine tool space error modeling method and device Download PDF

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Publication number
CN118131686A
CN118131686A CN202410221710.0A CN202410221710A CN118131686A CN 118131686 A CN118131686 A CN 118131686A CN 202410221710 A CN202410221710 A CN 202410221710A CN 118131686 A CN118131686 A CN 118131686A
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error
machine tool
space
space error
errors
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刘宏伟
薛东
戴桂月
刘海燕
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XY-HUST ADVANCED MANUFACTURING ENGINEERING RESEARCH INSTITUTE
Hubei University of Arts and Science
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XY-HUST ADVANCED MANUFACTURING ENGINEERING RESEARCH INSTITUTE
Hubei University of Arts and Science
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Abstract

The invention provides a numerical control machine tool space error modeling method and a device, and the technical key points are as follows: the method comprises the following steps: step one: measuring geometrical error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors; step two: establishing a space error model according to the measured geometric error elements; step three: and according to the space error model, performing machine tool space error compensation by adopting off-line modification G codes. The invention recognizes geometric error elements of a machine tool based on a step-by-step body diagonal method measurement method of the laser Doppler displacement measuring instrument, uses homogeneous coordinate transformation to express pose relation and conversion relation of adjacent coordinate systems, rapidly establishes a space error model, adopts an off-line G code modification mode to implement machine tool space error compensation, changes a conventional laser interferometer multi-line method measurement method, and enables measurement to be simpler, more convenient and quicker.

Description

Numerical control machine tool space error modeling method and device
Technical Field
The invention relates to the technical field of measurement accuracy control, in particular to a numerical control machine tool space error modeling method and device.
Background
The numerical control machine tool needs to control the position and the direction of a cutter during operation, and the relative position precision of the cutter and the workpiece determines the machining precision of the machine tool during machining of the workpiece. The conventional method for preventing the geometric errors mainly reduces the geometric error sources of the machine tool by improving the manufacturing and assembling precision of machine tool parts, increasing the rigidity of a machine tool system and the like, but the method is time-consuming and labor-consuming and has great limitation. The error compensation is an effective method for improving the machining precision of the machine tool, and the precondition of the error compensation is that an error compensation model of the machine tool is built, and the quick identification and acquisition of geometric errors are the basis for building the error model. The error detection method widely used in the industry at present is a piece-by-piece measurement method, which is to use a series of measuring instruments to measure each error element of a machine tool piece by piece, for example, a laser interferometer can be used to measure the positioning error and the straightness error of a translation axis of the machine tool piece by piece. However, the item-by-item measurement method is time-consuming and labor-consuming, and various error detection devices and related accessories are required to finish various error measurements, so that the cost is high and the efficiency is low.
Disclosure of Invention
Aiming at the technical problems in the prior art, the invention provides the space error modeling method and the space error modeling device for the numerical control machine tool, which are based on the step-by-step body diagonal method measurement method of the laser Doppler displacement measuring instrument, so that the geometric error elements of the machine tool are identified, the conventional multi-line method measurement method of the laser interferometer is changed, and the measurement is simpler, more convenient and quicker.
According to a first aspect of the invention, the invention provides a numerical control machine tool space error modeling method, which comprises the following steps:
step one: measuring geometrical error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors;
Step two: establishing a space error model according to the measured geometric error elements;
step three: and according to the space error model, performing machine tool space error compensation by adopting off-line modification G codes.
On the basis of the technical scheme, the invention can also make the following improvements.
Optionally, the geometric error elements of the three feed axes of the measuring machine tool include:
The method comprises the steps of obtaining geometric error elements by using a step-by-step body diagonal method of a laser Doppler displacement measuring instrument, wherein the step-by-step body diagonal method is used for decomposing motion on each step diagonal into three steps in the direction X, Y, Z to be sequentially executed, so that 3 times of data information is obtained; the method comprises the following steps of: three positioning errors (δ xx、δyy、δzz), six straightness errors (δ yx、δzx、δxy、δzy、δxz、δyz), and three perpendicularity errors (S xy、Syz、Szx).
Optionally, the step body diagonal method of the laser doppler shift meter to obtain the geometric error element includes:
Firstly, connecting measuring equipment in an installation and debugging stage, wherein the measuring equipment comprises a machine tool, a laser head, a temperature and pressure compensation device and test software; the laser head and the steering mirror are fixed on the switching platform and are arranged on the workbench through the magnetic base; the plane reflector is arranged on the main shaft through the magnetic base, the position is adjusted to enable the laser passage to be along a certain diagonal direction, step distance and point information moving in the testing process are set in the testing software, and laser is debugged through a target on the plane reflector, so that the laser is reflected and then returns to the receiver.
Optionally, the establishing a spatial error model according to the measured geometric error element includes:
And expressing the pose relation and the conversion relation of the adjacent coordinate systems by using homogeneous coordinate conversion, and establishing a space error model.
Optionally, the spatial error model is expressed as follows:
Wherein η xyz is the translational error of the feed shaft; δ xx、δyy、δzz is the positioning error of the feed shaft; delta yx、δzx、δxy、δzy、δxz、δyz is the straightness error of the feed shaft; s xy、Syz、Szx is the perpendicularity error of the feeding shaft; x zs represents the position relationship between the main axis s and the z axis in the X-axis coordinate system; x st represents the position relation between the tool t and the main shaft s in the X-axis coordinate system; y zs represents the position relationship between the principal axis s and the z axis in the Y-axis coordinate system; y st represents the position relation between the tool t and the main shaft s in the Y-axis coordinate system; z zs represents the position relationship between the main axis s and the Z axis in the Z axis coordinate system; z st represents the position relation between the tool t and the main shaft s in the Z-axis coordinate system; z represents the z-axis error.
Optionally, the performing machine tool space error compensation by using offline modification G code according to the space error model includes:
And the geometrical error elements obtained through identification are used as input, the position deviation of the cutter point is obtained through calculation of a space error model, and error compensation is completed in an off-line G code modifying mode.
Optionally, the geometric error element obtained through identification is used as input, the position deviation of the tool tip point is obtained through calculation of a spatial error model, and the error compensation is completed by adopting an off-line G code modifying mode, which comprises the following steps:
Firstly, storing a cutter path file into a G code of a numerical control system, processing according to the motion trail, and then calculating whether the spatial error of each point in the motion trail is within an allowance range or not through a spatial error model;
If the error meets the tolerance requirement, processing according to the track point;
if the position of the motion track point is not satisfied, the space error is reversely overlapped on the motion track point, all points in the track are sequentially judged according to the track sequence, and finally a compensated G code file is generated.
According to a second aspect of the present invention, there is provided a numerical control machine tool space error modeling apparatus comprising:
A measuring unit for measuring geometric error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors;
the modeling unit is used for establishing a space error model according to the geometric error elements obtained by measurement;
And the error compensation unit is used for implementing machine tool space error compensation by adopting off-line modification G codes according to the space error model.
Optionally, the geometric error elements of the three feed axes of the measuring machine tool include:
Firstly, connecting measuring equipment in an installation and debugging stage, wherein the measuring equipment comprises a machine tool, a laser head, a temperature and pressure compensation device and test software; the laser head and the steering mirror are fixed on the switching platform and are arranged on the workbench through the magnetic base; the plane reflector is arranged on the main shaft through the magnetic base, the position is adjusted to enable the laser passage to be along a certain diagonal direction, step distance and point information moving in the testing process are set in the testing software, and laser is debugged through a target on the plane reflector, so that the laser is reflected and then returns to the receiver.
Optionally, the performing machine tool space error compensation using the off-line modified G-code includes:
Firstly, storing a cutter path file into a G code of a numerical control system, processing according to the motion trail, and then calculating whether the spatial error of each point in the motion trail is within an allowance range or not through a spatial error model;
If the error meets the tolerance requirement, processing according to the track point;
if the position of the motion track point is not satisfied, the space error is reversely overlapped on the motion track point, all points in the track are sequentially judged according to the track sequence, and finally a compensated G code file is generated.
The invention has the technical effects and advantages that:
The invention provides a space error modeling method and a device of a numerical control machine tool, wherein a geometric error element is acquired by utilizing a step-by-step body diagonal method measurement method of a laser Doppler displacement measuring instrument, a pose relation and a conversion relation of an adjacent coordinate system are expressed by using homogeneous coordinate conversion, a space error model is quickly established, and the space error compensation of the machine tool is implemented by adopting an off-line G code modification mode, so that the machining error of the machine tool can be reduced finally. The step-by-step body diagonal method for measuring the space error has the advantages of simplicity in operation, convenience and rapidness, and the compensation accuracy is high enough, so that the requirements of a user on the precision and the practicability of the space error compensation of the numerical control machine tool in actual production can be met.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention may be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
Drawings
FIG. 1 is a schematic flow chart of a numerical control machine tool space error modeling method provided by an embodiment of the invention;
fig. 2 is a schematic diagram of the composition of a triaxial numerically-controlled machine tool according to an embodiment of the present invention;
Fig. 3 is a flowchart of error compensation provided in an embodiment of the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
It can be appreciated that, based on the defects in the background technology, the embodiment of the invention provides a numerical control machine tool space error modeling method, and particularly as shown in fig. 1, the method comprises the following steps:
Step one: obtaining a geometric error element of a machine tool; comprising the following steps: positioning errors, straightness errors and perpendicularity errors;
In this embodiment, the geometric error element is obtained by using a step-by-step body diagonal measurement method of the laser doppler displacement measurement apparatus, where the step-by-step body diagonal method is to decompose the motion on each step diagonal into three steps in the direction X, Y, Z to be sequentially performed, so as to obtain 3 times of data information.
The geometric error elements specifically include: the measuring machine tool comprises three positioning errors (delta xx、δyy、δzz), six straightness errors (delta yx、δzx、δxy、δzy、δxz、δyz) and three perpendicularity errors (S xy、Syz、Szx).
The geometric error measurement flow is as follows:
Firstly, connecting measuring equipment in an installation and debugging stage, wherein the measuring equipment comprises a machine tool, a laser head, a temperature and pressure compensation device and test software; the laser head and the steering mirror are fixed on the switching platform and are arranged on the workbench through the magnetic base; the plane reflector is arranged on the main shaft through the magnetic base, and the position is adjusted so that the laser passage is along a certain diagonal direction. And setting the step distance and point information moved in the test process in test software. The laser is debugged through a target on the plane mirror, so that the laser returns to the receiver after being reflected.
The step-by-step body diagonal method measurement method based on the laser Doppler displacement measuring instrument provided by the embodiment of the invention identifies the geometric error elements of the machine tool, and changes the conventional multi-line method measurement method of the laser interferometer, so that the measurement is simpler, more convenient and faster.
Step two: establishing a space error model according to the measured geometric error elements;
In this embodiment, establishing the spatial error model according to the measured geometric error element includes: and expressing the pose relation and the conversion relation of the adjacent coordinate systems by using homogeneous coordinate conversion, and establishing a space error model.
Specifically, after the preparation work of the first step is completed, error measurement of 4 body diagonal lines is respectively carried out; and (3) performing analysis and calculation in error software to obtain 12 error values. The laser Doppler displacement measuring instrument is adopted to measure 4 body diagonal lines of the working space of the machine tool, so that the machine tool 12 errors (the errors comprise 3 positioning errors, 6 straightness errors and 3 perpendicularity errors according to ISO230-1 naming δxx、δyy、δzz、δyx、δzx、δxy、δzy、δxz、δyz、Sxy、Syz、Szx), are obtained through decoupling, and a space error model is built.
As shown in fig. 2, the three-axis machine tool is controlled by three feed axes (X-axis, Y-axis, Z-axis), each of which has a stepper motor to control the operation of the axes, and also has a table, a spindle system, a machine tool body, and the like, and the structure of the machine tool can be abbreviated as WXYFZST. After the measurement and identification of the geometrical errors of the machine tool are carried out, the space errors need to be modeled, the pose relation and the conversion relation of the adjacent coordinate systems are expressed by using homogeneous coordinate transformation, and a space error model is quickly built.
The spatial error model is built as follows:
Wherein yTx denotes a transformation matrix of the X-axis coordinate system with respect to the Y-axis coordinate system; fTz A transformation matrix representing the Z-axis coordinate system relative to the F-axis coordinate system; fTy A transformation matrix representing the Y-axis coordinate system relative to the F-axis coordinate system; xTw A transformation matrix representing the W-axis coordinate system relative to the X-axis coordinate system; zTs Representing a transformation matrix of the S-axis coordinate system relative to the Z-axis coordinate system; sTt A transformation matrix representing the T-axis coordinate system relative to the S-axis coordinate system; x zs represents the position relationship between the main axis s and the z axis in the X-axis coordinate system; x st represents the position relation between the tool t and the main shaft s in the X-axis coordinate system; y zs represents the position relationship between the principal axis s and the z axis in the Y-axis coordinate system; y st represents the position relation between the tool t and the main shaft s in the Y-axis coordinate system; z zs represents the position relationship between the main axis s and the Z axis in the Z axis coordinate system; z st represents the position relation between the tool t and the main shaft s in the Z-axis coordinate system; x, y, z represent error values.
The homogeneous transformation matrix of the tool coordinate system t relative to the workpiece coordinate system w is ideally:
wTt=(fTy yTx xTw)-1fTz zTs sTt (3)
The presence of geometric errors can cause the position of the knife point to shift. In practical cases, when the angle error is ignored, the linear axis error transformation matrix is:
the upper right corner mark e indicates that the homogeneous transformation matrix is affected by errors. Then, in the case of an error, the homogeneous transformation matrix of the tool coordinate system t with respect to the workpiece coordinate system w is:
Based on the small error assumption, the transformation matrix wTt e in the case of error should be the product of the error motion transformation matrix wEt and the transformation matrix wTt in the ideal case:
wTt ewTt·wEt
Wherein η xyz is the translational error; gamma xyz is the angular error. Ignoring the corner error, the simplified spatial error is:
Wherein η xyz is the translational error of the feed shaft; δ xx、δyy、δzz is the positioning error of the feed shaft; delta yx、δzx、δxy、δzy、δxz、δyz is the straightness error of the feed shaft; s xy、Syz、Szx is the perpendicularity error of the feeding shaft; x zs represents the position relationship between the main axis s and the z axis in the X-axis coordinate system; x st represents the position relation between the tool t and the main shaft s in the X-axis coordinate system; y zs represents the position relationship between the principal axis s and the z axis in the Y-axis coordinate system; y st represents the position relation between the tool t and the main shaft s in the Y-axis coordinate system; z zs represents the position relationship between the main axis s and the Z axis in the Z axis coordinate system; z st represents the position relation between the tool t and the main shaft s in the Z-axis coordinate system; z represents the z-axis error.
Step three: and according to the space error model, performing machine tool space error compensation by adopting off-line modification G codes.
Implementing machine tool space error compensation by modifying G-codes off-line includes:
The position deviation of the knife point can be calculated through a space error model by taking 12 geometric error elements obtained through identification as input. The error compensation work is completed by adopting an off-line G code modification mode, the flow is shown in figure 3, firstly, a cutter path file [ x, y, z ] T is stored in the G code of a numerical control system, then processing is carried out according to a movement track M= [ x (t) y (t) z (t) ] T, and whether the space error of each point in the movement track is within a tolerance range is calculated through a space error model. If the error meets the tolerance requirement, processing according to the track point; if the motion track is not satisfied, the motion track is compensated according to M C = M-delta, the motion track is processed according to the compensated motion track M C=[xc(t)yc(t)zc(t)]T, and then the space error is reversely superimposed on the motion track point position, so that the error compensation is realized. And sequentially judging all points in the track according to the track sequence, and finally generating a compensated G code file to finally achieve the purpose of reducing the space error.
In summary, according to the method for modeling the space error of the numerical control machine provided by the embodiment of the invention, the geometric error element is obtained by using the measuring method of the step-by-step body diagonal method of the laser Doppler displacement measuring instrument, the pose relation and the conversion relation of the adjacent coordinate system are expressed by using homogeneous coordinate conversion, the space error model is quickly built, and the space error compensation of the machine is implemented by adopting an off-line G code modifying mode, so that the machining error of the machine can be reduced finally.
According to a second aspect of the present invention, there is provided a numerical control machine tool space error modeling apparatus comprising:
A measuring unit for measuring geometric error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors;
the modeling unit is used for establishing a space error model according to the geometric error elements obtained by measurement;
And the error compensation unit is used for implementing machine tool space error compensation by adopting off-line modification G codes according to the space error model.
It can be understood that the spatial error modeling device for a numerically-controlled machine tool provided by the present invention corresponds to the spatial error modeling method for a numerically-controlled machine tool provided by the foregoing embodiment, and the relevant technical features of the spatial error modeling device for a numerically-controlled machine tool may refer to the relevant technical features of a multi-source spatial error modeling method for a numerically-controlled machine tool, which are not described herein again.
In summary, the embodiment of the invention provides a method and a device for modeling the space error of a numerical control machine tool, which have the advantages of simple operation, convenience and rapidness, and the compensation precision is high enough, so that the requirements of users on the space error compensation of the numerical control machine tool in terms of precision and practicality in actual production can be met.
The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. It is therefore intended that the following claims be interpreted as including the preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims (10)

1. The numerical control machine tool space error modeling method is characterized by comprising the following steps of:
step one: measuring geometrical error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors;
Step two: establishing a space error model according to the measured geometric error elements;
step three: and according to the space error model, performing machine tool space error compensation by adopting off-line modification G codes.
2. The numerical control machine tool space error modeling method according to claim 1, wherein,
The geometric error elements of the three feeding shafts of the measuring machine tool comprise:
The method comprises the steps of obtaining geometric error elements by using a step-by-step body diagonal method of a laser Doppler displacement measuring instrument, wherein the step-by-step body diagonal method is used for decomposing motion on each step diagonal into three steps in the direction X, Y, Z to be sequentially executed, so that 3 times of data information is obtained; the method comprises the following steps of: three positioning errors (δ xx、δyy、δzz), six straightness errors (δ yx、δzx、δxy、δzy、δxz、δyz), and three perpendicularity errors (S xy、Syz、Szx).
3. The method of modeling spatial error of a numerically controlled machine tool according to claim 2, wherein said obtaining geometric error elements using a step-wise body diagonal method of a laser doppler shift meter comprises:
Firstly, connecting measuring equipment in an installation and debugging stage, wherein the measuring equipment comprises a machine tool, a laser head, a temperature and pressure compensation device and test software; the laser head and the steering mirror are fixed on the switching platform and are arranged on the workbench through the magnetic base; the plane reflector is arranged on the main shaft through the magnetic base, the position is adjusted to enable the laser passage to be along a certain diagonal direction, step distance and point information moving in the testing process are set in the testing software, and laser is debugged through a target on the plane reflector, so that the laser is reflected and then returns to the receiver.
4. The method for modeling a spatial error of a numerically-controlled machine tool according to claim 1, wherein the establishing a spatial error model based on the measured geometric error elements comprises:
And expressing the pose relation and the conversion relation of the adjacent coordinate systems by using homogeneous coordinate conversion, and establishing a space error model.
5. The numerical control machine tool space error modeling method according to claim 4, wherein the space error model is represented as follows:
Wherein η xyz is the translational error of the feed shaft; δ xx、δyy、δzz is the positioning error of the feed shaft; delta yx、δzx、δxy、δzy、δxz、δyz is the straightness error of the feed shaft; s xy、Syz、Szx is the perpendicularity error of the feeding shaft; x zs represents the position relationship between the main axis s and the z axis in the X-axis coordinate system; x st represents the position relation between the tool t and the main shaft s in the X-axis coordinate system; y zs represents the position relationship between the principal axis s and the z axis in the Y-axis coordinate system; y st represents the position relation between the tool t and the main shaft s in the Y-axis coordinate system; z zs represents the position relationship between the main axis s and the Z axis in the Z axis coordinate system; z st represents the position relation between the tool t and the main shaft s in the Z-axis coordinate system; z represents the z-axis error.
6. The method of modeling spatial error of a numerically controlled machine tool according to claim 1, wherein said performing machine tool spatial error compensation using off-line modified G-codes based on the spatial error model comprises:
And the geometrical error elements obtained through identification are used as input, the position deviation of the cutter point is obtained through calculation of a space error model, and error compensation is completed in an off-line G code modifying mode.
7. The method of modeling spatial error of a numerically controlled machine tool according to claim 6, wherein said performing error compensation by modifying G-codes offline comprises:
Firstly, storing a cutter path file into a G code of a numerical control system, processing according to the motion trail, and then calculating whether the spatial error of each point in the motion trail is within an allowance range or not through a spatial error model;
If the error meets the tolerance requirement, processing according to the track point;
if the position of the motion track point is not satisfied, the space error is reversely overlapped on the motion track point, all points in the track are sequentially judged according to the track sequence, and finally a compensated G code file is generated.
8. The utility model provides a digit control machine tool space error modeling device which characterized in that includes:
A measuring unit for measuring geometric error elements of three feed axes of a machine tool, comprising: positioning errors, straightness errors and perpendicularity errors;
the modeling unit is used for establishing a space error model according to the geometric error elements obtained by measurement;
And the error compensation unit is used for implementing machine tool space error compensation by adopting off-line modification G codes according to the space error model.
9. The numerical control machine tool space error modeling apparatus of claim 8, wherein the geometric error elements of the three feed axes of the measuring machine tool comprise:
Firstly, connecting measuring equipment in an installation and debugging stage, wherein the measuring equipment comprises a machine tool, a laser head, a temperature and pressure compensation device and test software; the laser head and the steering mirror are fixed on the switching platform and are arranged on the workbench through the magnetic base; the plane reflector is arranged on the main shaft through the magnetic base, the position is adjusted to enable the laser passage to be along a certain diagonal direction, step distance and point information moving in the testing process are set in the testing software, and laser is debugged through a target on the plane reflector, so that the laser is reflected and then returns to the receiver.
10. The apparatus of claim 8, wherein said performing machine tool space error compensation using off-line modified G-codes comprises:
Firstly, storing a cutter path file into a G code of a numerical control system, processing according to the motion trail, and then calculating whether the spatial error of each point in the motion trail is within an allowance range or not through a spatial error model;
If the error meets the tolerance requirement, processing according to the track point;
if the position of the motion track point is not satisfied, the space error is reversely overlapped on the motion track point, all points in the track are sequentially judged according to the track sequence, and finally a compensated G code file is generated.
CN202410221710.0A 2024-02-28 2024-02-28 Numerical control machine tool space error modeling method and device Pending CN118131686A (en)

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