CN107470983A - A kind of high-precision calibrating fitting center of circle solving device and method - Google Patents

A kind of high-precision calibrating fitting center of circle solving device and method Download PDF

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Publication number
CN107470983A
CN107470983A CN201710605518.1A CN201710605518A CN107470983A CN 107470983 A CN107470983 A CN 107470983A CN 201710605518 A CN201710605518 A CN 201710605518A CN 107470983 A CN107470983 A CN 107470983A
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CN
China
Prior art keywords
circle
fitting
center
data
probe
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CN201710605518.1A
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Chinese (zh)
Inventor
汪中厚
孙奇楠
徐阐
刘欣荣
周晓玲
王振飞
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Kunshan National Transmission Machinery Co Ltd
University of Shanghai for Science and Technology
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Kunshan National Transmission Machinery Co Ltd
University of Shanghai for Science and Technology
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Application filed by Kunshan National Transmission Machinery Co Ltd, University of Shanghai for Science and Technology filed Critical Kunshan National Transmission Machinery Co Ltd
Priority to CN201710605518.1A priority Critical patent/CN107470983A/en
Publication of CN107470983A publication Critical patent/CN107470983A/en
Pending legal-status Critical Current

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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
    • B23Q17/00Arrangements for observing, indicating or measuring on machine tools
    • B23Q17/22Arrangements for observing, indicating or measuring on machine tools for indicating or measuring existing or desired position of tool or work
    • B23Q17/2233Arrangements for observing, indicating or measuring on machine tools for indicating or measuring existing or desired position of tool or work for adjusting the tool relative to the workpiece
    • B23Q17/2241Detection of contact between tool and workpiece

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

The invention provides a kind of high-precision calibrating fitting center of circle solving device and method.Wherein, high-precision calibrating fitting center of circle solving device is arranged in lathe, for the fitting circle figure and fitting center of circle error of the demarcation part for demarcating the probe to be demarcated and obtained to probe, consequently facilitating error of the operating personnel according to the fitting center of circle error judgment lathe, it is characterised in that it includes:Demarcate part;DATA REASONING portion, for being detected point by point to demarcation part, obtain the coordinate data of probe;Data fitting portion is used to be fitted the coordinate data of probe;Image fitting portion is used to fit fitting circle figure and the fitting center of circle;Center of circle collection portion is used to the fitting center of circle forming one group of discrete approximation center of circle;Center of circle fitting portion is used to be weighted the discrete approximation center of circle processing of average and iteration optimization, obtains true central coordinate of circle;Data calculating part, for calculating the air line distance between any two fitting center of circle;And display part, for showing figure and data.

Description

A kind of high-precision calibrating fitting center of circle solving device and method
Technical field
The invention belongs to field of machining, and in particular to a kind of high-precision calibrating fitting center of circle solving device and method.
Background technology
Due to the rapid development of science and technology, the species of mechanical processing machine is more and more, in order to comply with enterprise development to product Quality and the trend of more efficient requirement, the lathe with high-end on-line measurement are gradually brought into schedule.At present, in the world increasingly Duo Di manufacturers are being considered as on-line measurement scheme and are selecting suitable on-line measurement software systems, enable programming personnel Go out the process of measurement of suitable different machining centers using this platform development, so that employee can complete work in a short time The setting of part and measurement task.
Probe is a highly important part in on-line measurement system.But in order to ensure probe can be to work Part profit carries out accurate measurement, needs first to determine the relative position relation of probe and lathe coordinate system, that is, carries out gauge head demarcation.Probe Demarcation can eliminate the error of measuring system, improve the correctness of lathe or measuring system.
Probe scaling method is by, by point measurement, obtaining one group of survey to demarcation part used by most of at present Point data, calculating is then fitted, and according to fitting data, obtains the coordinate in the fitting center of circle.
But due to the presence of machine tool error, only carry out once fitting often cannot most accurate coordinate value, this is direct The accuracy assessment of online gear measurement is had influence on, eventually affects precision of grinding teeth.In addition, existing measuring system is being popped one's head at present Matlab, Mathmatica, Maple and OriginLab etc. can only be forwarded in calibration process after measurement data is drawn The fitting of measurement data is carried out on commercialization processing software, moreover the lathe that most of country are produced does not include demarcation probe The automatic software for calculation of fitting circle so that the complexity increase for demarcation of popping one's head in, not only waste processing time, and existing machine Bed lathe does not have instant playback function in demarcation, and user is unable to real time and on line monitoring.
The content of the invention
The present invention is, and it is an object of the present invention to provide a kind of high-precision calibrating fitting center of circle is asked in order to solving the above problems and carry out Solve apparatus and method.
The invention provides a kind of high-precision calibrating be fitted center of circle solving device, be arranged in lathe, for pop one's head in into Rower is determined and obtains the fitting circle figure and fitting center of circle error of the demarcation part for demarcating the probe, consequently facilitating operator Member is according to the error of the fitting center of circle error judgment lathe, it is characterised in that including:Demarcate part;DATA REASONING portion, including number According to acquiring unit, machine tool chief axis and the probe being rotatably installed on machine tool chief axis, the probe is used in machine tool chief axis The optional position for demarcating part is detected point by point under traction, DATA REASONING unit is used for the coordinate data for obtaining probe;Number According to fitting portion, the coordinate data of probe is fitted using iterative method, obtain fitting circle figure fitting the center of circle coordinate value, It is fitted radius of circle and fitting circle normal equation;Image fitting portion, for being fitted to fitting circle normal equation, obtain fitting circle Figure and the fitting center of circle;Center of circle collection portion, the fitting center of circle for will be obtained in data fitting portion form one group of discrete approximation circle The heart;Center of circle fitting portion, handled for being weighted average and iteration optimization to the discrete approximation center of circle, obtain true central coordinate of circle; Data calculating part, obtain being fitted center of circle error for calculating the air line distance between any two fitting center of circle;And display part, Including display screen, the display screen is used for displaing coordinate data and is fitted point corresponding to the center of circle, fitting circle figure and the fitting center of circle Coordinate value, fitting radius of circle and fitting center of circle error.
It is fitted in the solving device of the center of circle, can also has the feature that in high-precision calibrating provided by the invention:Wherein, Demarcation part is standard length bar.
It is fitted in the solving device of the center of circle, can also has the feature that in high-precision calibrating provided by the invention:Wherein, The number for the point being detected on each position is more than three.
Center of circle solving device is fitted in high-precision calibrating provided by the invention, can also be included:Storage part, for storing number According to the data include coordinate data, the coordinate value for being fitted the center of circle, fitting radius of circle and fitting center of circle error.
The present invention still further provides a kind of high-precision calibrating fitting center of circle method for solving, it is characterised in that including with Lower step:Step 1, point-to-point measurement is carried out to the optional position for demarcating part using probe, visited using data capture unit The coordinate data of head;Step 2, the coordinate data in step 1 is fitted using data fitting portion, obtained by iterative method Coordinate value, fitting radius of circle and the fitting circle normal equation in the fitting center of circle of first group of fitting circle figure;Step 3, using image Fitting portion is fitted to fitting circle normal equation, obtains fitting circle figure and the fitting center of circle;Step 4, shown using display screen Point and fitting circle figure corresponding to coordinate data and the fitting center of circle in step 1 to step 3;Step 5, repeat step one To step 4, multigroup coordinate data and corresponding fitting circle and the fitting center of circle are obtained;Step 6, it will be walked using center of circle collection portion Rapid two and step 5 in the obtained fitting center of circle form one group of discrete approximation center of circle;Step 7, using center of circle fitting portion to discrete The fitting center of circle is weighted the processing of average and iteration optimization, obtains an accurate true central coordinate of circle and sits the true center of circle Mark display is on a display screen;Step 8, the air line distance between any two fitting center of circle is calculated using data calculating part, obtained Fitting center of circle error simultaneously shows the result of the fitting center of circle error on a display screen.
The effect of invention and effect
According to a kind of high-precision calibrating fitting center of circle solving device involved in the present invention and method, because probe is to demarcation Part has carried out multigroup demarcation measurement, so as to accurately calculate true central coordinate of circle point;Due to because employing image Fitting portion and input display part so that coordinate data, fitting circle and the fitting center of circle can be automatically displayed on display screen, so as to allow User can obtain the position of measurement point in real time, personnel easy to operation more intuitively evaluate coordinate data whether meet precision will Ask, finally avoid the situation that fitting data precision is inadequate caused by partial points grid deviation is excessive;Because obtain it is discrete Any two fitting center of circle is calculated after fitting central coordinate of circle, and multiple measurement is obtained being fitted the distance between center of circle Be automatically displayed on field, be easy to user according to this group of data immediately decision errors the reason for, such as the positioning of numerical control axle Error, or the Thermal Error as caused by temperature change, so as to targetedly be compensated to error so that gear on-line measuring Evaluation precision improves, and the precision of grinding teeth of lathe also improves.In addition, the high-precision calibrating fitting center of circle that the present invention mentions solves Apparatus and method are provided on lathe, it is not necessary to will be forwarded to again after data copy in other business softwares carry out analysis and Calculate so that the present invention can reduce the operating procedure of user, save the nominal time, while also avoid caused by factor data copies Data are lost in, and finally improve stated accuracy.
Brief description of the drawings
Fig. 1 is the composition frame chart of high-precision calibrating fitting center of circle solving device in embodiments of the invention;
Fig. 2 is position view when probe detects to standard length bar in embodiments of the invention;
Fig. 3 is the composition frame chart in DATA REASONING portion in embodiments of the invention;
Fig. 4 is the distribution schematic diagram of display part in embodiments of the invention;
Fig. 5 is the flow chart of high-precision calibrating fitting center of circle method for solving in embodiments of the invention;
Fig. 6 is that the fitting circle result after terminating is measured in embodiments of the invention;
Fig. 7 is fitting central coordinate of circle local enlargement display figure in embodiments of the invention.
Embodiment
In order that the technological means that the present invention realizes is easy to understand with effect, with reference to embodiments and accompanying drawing is to this Invention is specifically addressed.
<Embodiment>
Fig. 1 is the composition frame chart of high-precision calibrating fitting center of circle solving device in embodiments of the invention.
As shown in figure 1, high-precision calibrating fitting center of circle solving device 100 is arranged in lathe, including:Demarcate part 1, number According to measurement portion 2, data fitting portion 3, image fitting portion 4, center of circle collection portion 5, center of circle fitting portion 6, data calculating part 7, display part 8th, storage part 9 and control unit 10, wherein, control unit 10 is used for each group of control accuracy demarcation fitting center of circle solving device 100 Into being partly operated.
Fig. 2 is position view when probe detects to standard length bar in embodiments of the invention.
Part 1 is demarcated, for standard length bar, the diameter 2R of the standard length bar 1 is the demarcation part 1 that the present embodiment uses 30mm, as shown in Figure 2.
Fig. 3 is the composition frame chart in DATA REASONING portion in embodiments of the invention.
As shown in figure 3, DATA REASONING portion 2 includes data capture unit 11, machine tool chief axis 12 and probe 13.
Probe 13 is rotatably installed on machine tool chief axis 12, under the traction of machine tool chief axis 12 to demarcating part 1 optional position is detected point by point, and DATA REASONING unit 11 is used for the coordinate data for obtaining probe 1.Popped one's head in the present embodiment 13 length L is 80mm (as shown in Figure 2), and the number of the point detected on standard length bar 1 by probe is 80, wherein, probe 13 Departure Δ θ=0.0035 °, the 13 measurement range θ of popping one's head in is 40 °~50 ° (the upper summits of connection standard length bar 1 to standard The θ of the diameter of the lower bottom point of length bar 1 is 0 °).
Data fitting portion 3 is fitted using iterative method to the coordinate data of probe 1, obtains the fitting circle of fitting circle figure Coordinate value, fitting radius of circle and the fitting circle normal equation of the heart.
Image fitting portion 4 is used to be fitted fitting circle normal equation, obtains fitting circle figure and the fitting center of circle.
Center of circle collection portion 5 is used to the fitting center of circle obtained in data fitting portion forming one group of discrete approximation center of circle.
Center of circle demarcation portion 6 is used to be weighted the discrete approximation center of circle processing of average and iteration optimization, obtains the true center of circle Coordinate.
The air line distance that data calculating part 7 is used to calculate between any two fitting center of circle obtains being fitted center of circle error.
Fig. 4 is the distribution schematic diagram of display part in embodiments of the invention.
As shown in figure 4, display part 8 includes display screen 14 and operation interface 15.
As shown in figure 4, display screen 14, including for point and fitting circle diagram corresponding to displaing coordinate data and the fitting center of circle The display screen for graphic presentation 141 of shape, the coordinate value for showing the fitting center of circle and the He of " measurement result " display field 142 for being fitted radius of circle For showing " fitting center of circle error " display field 143 of fitting center of circle error.
As shown in figure 4, operation interface 15 includes lathe connection status column 151, " measurement monitoring " button 152, " ginseng is read Number " button 153, " image fitting " button 154, " probe reset " button 155 with " data are saved in txt " buttons 156, for allowing Operating personnel send operational order by the operation interface 15.
Storage part 9, for data storage, the data include coordinate data, the coordinate value for being fitted the center of circle, fitting radius of circle and It is fitted center of circle error.
Fig. 5 is the flow chart of high-precision calibrating fitting center of circle method for solving in embodiments of the invention, and Fig. 6 is of the invention Fitting circle result after measurement terminates in embodiment, Fig. 7 are fitting central coordinate of circle local enlargement displays in embodiments of the invention Figure.
As shown in figure 5, the course of work of high-precision calibrating fitting center of circle solving device 100 is as follows.
Start lathe first, standard length bar 1 is arranged on the fixing device thimble of lathe and fixed, subsequently into Display part 8, as shown in Figure 4.When " lathe connection status " column 151 shows " lathe has connected ", " measurement monitoring " button is clicked on 152, allow control unit 9 to control lathe to include as follows automatically into probe calibration process, high-precision calibrating fitting center of circle method for solving Step:
Step 1, probe 13 carry out touching measurement under the traction of machine tool chief axis 12 to the external peripheral surface of standard length bar 1, It is divided into two strokes, fixed 40 calibration points (including upper summit and lower bottom point) is equably taken in each stroke range.Probe from The upper summit of standard length bar 1 starts, and is gradually demarcated along length bar external peripheral surface, from top to bottom, while pops one's head in 13 in machine tool chief axis Moved after under 12 traction, until θ values leave standard length bar 1 when being 45 °.Then, lower bottom point of the probe 13 from touching standard length bar 1 Start second stroke, probe 13 is gradually demarcated along the external peripheral surface of standard length bar 1, from the bottom to top, while pops one's head in 13 in machine Moved after under the traction of bed main shaft 12, until θ values leave length bar when being 45 °.The record standard length bar 1 of data capture unit 11 it is each The coordinate data of point, after completion is touched first, probe 13 is under the traction of machine tool chief axis 12 away from standard length bar 1.
Step 2, " reading parameter " button 153 in clicking operation interface 15, allows data fitting portion 3 in step 1 Coordinate data is fitted, and coordinate value, the fitting radius of circle in the fitting center of circle of first group of fitting circle figure are obtained by iterative method With fitting circle normal equation.
Step 3, " image fitting " button 154 in clicking operation interface 15, allows image fitting portion 4 to fitting circle standard Equation is fitted, and obtains fitting circle figure and the fitting center of circle of standard length bar 1.
Step 4, " measurement result " display field 142 and display screen for graphic presentation 141 distinguish the seat in step display one to step 3 Point and fitting circle figure corresponding to data and the fitting center of circle are marked, as shown in Figure 6.
Step 5, " probe resets " button 155 in clicking operation interface 15, allows calibration process to enter original state, etc. Treat that repeat step one to step 4, obtains multigroup coordinate data and corresponding fitting circle and the fitting center of circle (red circle in a moment Enclose to be fitted the center of circle), as shown in Figure 6 and Figure 7.
Step 6, the fitting center of circle obtained in step 2 and step 5 is formed by one group of discrete plan using center of circle collection portion 5 Close the center of circle.
Step 7, average and iteration optimization is weighted to the discrete approximation center of circle using center of circle fitting portion 6 and is handled, obtains one Individual accurate true central coordinate of circle is simultaneously included the true central coordinate of circle on display screen for graphic presentation 141 with black " * ", such as Fig. 7 institutes Show.
Step 8, the air line distance between any two fitting center of circle is calculated using data calculating part 7, obtains being fitted the center of circle Error simultaneously includes the result of the fitting center of circle error on " fitting center of circle error " display field 143, as shown in Figure 6.
Probe demarcation terminate after, in clicking operation interface 15 " data are saved in txt " buttons 156, allow storage part 9 to store Data, the data include coordinate data, the coordinate value for being fitted the center of circle, fitting radius of circle and fitting center of circle error, to carry out two Secondary calculating.
The effect of embodiment and effect
A kind of high-precision calibrating fitting center of circle solving device and method according to involved by the present embodiment, because probe is to mark Determine part and carried out multigroup demarcation measurement, so as to accurately calculate true central coordinate of circle point;Due to because employing figure As fitting portion and input display part so that coordinate data, fitting circle and the fitting center of circle can be automatically displayed on display screen, so as to Allow user to obtain the position of measurement point in real time, personnel easy to operation more intuitively evaluate coordinate data whether meet precision will Ask, finally avoid the situation that fitting data precision is inadequate caused by partial points grid deviation is excessive;Because obtain it is discrete Any two fitting center of circle is calculated after fitting central coordinate of circle, and multiple measurement is obtained being fitted the distance between center of circle Be automatically displayed on field, be easy to user according to this group of data immediately decision errors the reason for, such as the positioning of numerical control axle Error, or the Thermal Error as caused by temperature change, so as to targetedly be compensated to error so that gear on-line measuring Evaluation precision improves, and the precision of grinding teeth of lathe also improves.
The number for the point being detected on each position is more than three, and more point enables to the result of fitting more accurate, just Precisely demarcated in probe.
Storage part is used for storing including coordinate data, is fitted the coordinate value in the center of circle, is fitted radius of circle and fitting center of circle error Data, be convenient for secondary calculating.
In addition, the high-precision calibrating fitting center of circle method for solving that the present invention mentions is connected on lathe, it is not necessary to will It is forwarded to again after data copy in other business softwares and is analyzed and calculated so that the present invention can reduces the operation step of user Suddenly, the nominal time is saved, while also avoids data caused by factor data copy from being lost in, finally improve stated accuracy.

Claims (5)

1. a kind of high-precision calibrating is fitted center of circle solving device, it is arranged in lathe, for being demarcated to probe and obtaining use In the fitting circle figure and fitting center of circle error of the demarcation part for demarcating the probe, consequently facilitating operating personnel are according to the fitting circle The error of lathe described in heart error judgment, it is characterised in that including:
Demarcate part;
DATA REASONING portion, including data capture unit, machine tool chief axis and the institute being rotatably installed on the machine tool chief axis Probe is stated, the probe is used to detect the optional position of the demarcation part point by point under the traction of the machine tool chief axis, The DATA REASONING unit is used for the coordinate data for obtaining the probe;
Data fitting portion, the coordinate data of the probe is fitted using iterative method, obtains the fitting circle figure The fitting center of circle coordinate value, fitting radius of circle and fitting circle normal equation;
Image fitting portion, for being fitted to the fitting circle normal equation, obtain the fitting circle figure and the fitting The center of circle;
Center of circle collection portion, the fitting center of circle for will be obtained in the data fitting portion form one group of discrete approximation center of circle;
Center of circle fitting portion, handled for being weighted average and iteration optimization to the discrete approximation center of circle, obtain the true center of circle Coordinate;
Data calculating part, fitting center of circle mistake is obtained for calculating the air line distance being fitted described in any two between the center of circle Difference;And
Display part, including display screen, the display screen are used to show point, described corresponding to the coordinate data and the fitting center of circle The fitting circle figure and coordinate value in the fitting center of circle, the fitting radius of circle and fitting center of circle error.
2. high-precision calibrating according to claim 1 is fitted center of circle solving device, it is characterised in that:
Wherein, the demarcation part is standard length bar.
3. high-precision calibrating according to claim 1 is fitted center of circle solving device, it is characterised in that:
Wherein, the number for the point being detected on each position is more than three.
4. high-precision calibrating according to claim 1 is fitted center of circle solving device, it is characterised in that also includes:
Storage part, for data storage, the data include the coordinate data, the coordinate value in the fitting center of circle, the fitting Radius of circle and the fitting center of circle error.
5. a kind of high-precision calibrating is fitted center of circle method for solving, it is characterised in that comprises the following steps:
Step 1, point-to-point measurement is carried out to the optional position for demarcating part using probe, obtained using data capture unit described in The coordinate data of probe;
Step 2, the coordinate data in the step 1 is fitted using data fitting portion, obtained by iterative method Coordinate value, fitting radius of circle and the fitting circle normal equation in the fitting center of circle of first group of fitting circle figure;
Step 3, the fitting circle normal equation is fitted using image fitting portion, obtains the fitting circle figure and institute State the fitting center of circle;
Step 4, the coordinate data and fitting center of circle correspondence in the step 1 to step 3 are shown using display screen Point and the fitting circle figure;
Step 5, repeating said steps one to the step 4, obtain multigroup coordinate data and the corresponding fitting Circle and the fitting center of circle;
Step 6, the fitting center of circle obtained in the step 2 and the step 5 is formed one group using center of circle collection portion The discrete approximation center of circle;
Step 7, average and iteration optimization is weighted to the discrete approximation center of circle using center of circle fitting portion and is handled, obtains one Individual accurate true central coordinate of circle simultaneously includes the true central coordinate of circle on the display screen;
Step 8, the air line distance being fitted described in any two between the center of circle is calculated using data calculating part, obtains the fitting Center of circle error simultaneously includes the result of the fitting center of circle error on the display screen.
CN201710605518.1A 2017-07-24 2017-07-24 A kind of high-precision calibrating fitting center of circle solving device and method Pending CN107470983A (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108562255A (en) * 2018-01-05 2018-09-21 宿州大地网络科技有限公司 The contact probe of on-line measurement is hesitated the extracting method of signal in a kind of machining tool
CN109357631A (en) * 2018-11-30 2019-02-19 厦门大学 A kind of measuring system center scaling method based on laser displacement sensor
CN110058571A (en) * 2018-01-19 2019-07-26 财团法人工业技术研究院 Display system and display methods
CN111992601A (en) * 2020-08-21 2020-11-27 中交三航(南通)海洋工程有限公司 Method for measuring eccentricity of central axis in rolling process of large-diameter steel pipe pile
CN113341878A (en) * 2021-06-23 2021-09-03 重庆理工大学 Thermal error measuring method of five-axis numerical control machine tool

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Publication number Priority date Publication date Assignee Title
JPH0482651A (en) * 1990-07-26 1992-03-16 Makino Milling Mach Co Ltd Measuring method for accuracy of machine tool
CN106017377A (en) * 2016-07-26 2016-10-12 上海理工大学 Calibration method for measuring probe for online measurement in processing machine tool

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0482651A (en) * 1990-07-26 1992-03-16 Makino Milling Mach Co Ltd Measuring method for accuracy of machine tool
CN106017377A (en) * 2016-07-26 2016-10-12 上海理工大学 Calibration method for measuring probe for online measurement in processing machine tool

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108562255A (en) * 2018-01-05 2018-09-21 宿州大地网络科技有限公司 The contact probe of on-line measurement is hesitated the extracting method of signal in a kind of machining tool
CN110058571A (en) * 2018-01-19 2019-07-26 财团法人工业技术研究院 Display system and display methods
CN110058571B (en) * 2018-01-19 2020-10-27 财团法人工业技术研究院 Display system and display method
CN109357631A (en) * 2018-11-30 2019-02-19 厦门大学 A kind of measuring system center scaling method based on laser displacement sensor
CN111992601A (en) * 2020-08-21 2020-11-27 中交三航(南通)海洋工程有限公司 Method for measuring eccentricity of central axis in rolling process of large-diameter steel pipe pile
CN111992601B (en) * 2020-08-21 2022-03-01 中交三航(南通)海洋工程有限公司 Method for measuring eccentricity of central axis in rolling process of large-diameter steel pipe pile
CN113341878A (en) * 2021-06-23 2021-09-03 重庆理工大学 Thermal error measuring method of five-axis numerical control machine tool

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Application publication date: 20171215