CN106959667A - A kind of lathe translation shaft error of perpendicularity modeling method - Google Patents

A kind of lathe translation shaft error of perpendicularity modeling method Download PDF

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CN106959667A
CN106959667A CN201710231121.0A CN201710231121A CN106959667A CN 106959667 A CN106959667 A CN 106959667A CN 201710231121 A CN201710231121 A CN 201710231121A CN 106959667 A CN106959667 A CN 106959667A
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axis
error
perpendicularity
translation shaft
influence
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付国强
高宏力
宋兴国
曹中清
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Southwest Jiaotong University
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Southwest Jiaotong University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/408Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by data handling or data format, e.g. reading, buffering or conversion of data
    • G05B19/4086Coordinate conversions; Other special calculations
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/30Nc systems
    • G05B2219/35Nc in input of data, input till input file format
    • G05B2219/35356Data handling

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  • Manufacturing & Machinery (AREA)
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  • General Physics & Mathematics (AREA)
  • Automation & Control Theory (AREA)
  • Numerical Control (AREA)

Abstract

The invention discloses a kind of lathe translation shaft error of perpendicularity modeling method, belong to Precision of NC Machine Tool control field.Including:With reference to translation shaft kinetic property, the influence that the error of perpendicularity is moved to translation shaft is analyzed according to error of perpendicularity geometric definition;Set up the homogeneous transform matrix of translation shaft actual motion under the influence of the error of perpendicularity;Three translation shaft error of perpendicularity definition of lathe and distribution are analyzed, X-axis, Y-axis and Z axis each error of perpendicularity is obtained;The influence moved according to the error of perpendicularity to each translation shaft, sets up the unit direction vector of actual motion axle axis under the influence of the error of perpendicularity of translation shaft X-axis, Y-axis and Z axis;The unit direction vector of three translation shaft actual motion axle axis is substituted into the homogeneous transform matrix of translation shaft actual motion, three translation shaft error of perpendicularity models of lathe are set up.This method is used to set up the error of perpendicularity model for meeting lathe translation shaft error of perpendicularity geometric definition, further improves lathe composition error model accuracy.

Description

A kind of lathe translation shaft error of perpendicularity modeling method
Technical field
The present invention relates to Precision of NC Machine Tool control technology field.
Background technology
Digit Control Machine Tool has been widely used for various manufacture fields, high to machine as manufacture is required and industrial technology development The requirement more and more higher of precision.State Council's issue《Made in China 2025》In to high-grade, digitally controlled machine tools cutting edge technology and equipment Reliability and precision are emphasized, the inexorable trend that high accuracy develops as high-grade, digitally controlled machine tools.In influence machine finish Many factors in, Geometric error and thermal error is the worst error source of high-grade, digitally controlled machine tools, and account for total foozle 60% is left The right side, the modeling and compensation of lathe geometric error turn into the important means for improving machine finish.
The error of perpendicularity is important component in lathe geometric error.The geometric properties of the error of perpendicularity make it that it is difficult To analyze, lathe synthetic geometry error model precision can be largely effected on.The big stroke of translation shaft can further increase perpendicularity mistake The influence of difference, so the error of perpendicularity can have a strong impact on the precision of lathe, especially large-sized gantry Digit Control Machine Tool.In addition, vertical The measurement identification of degree error is closely related with corresponding error model, and the precision of model determines the precision of error identification.For Geometric error is recognized with for error compensation, and high-precision error of perpendicularity model seems extremely important.
Conventional Geometric Error for Computerized Numerical Control Milling Machine modeling method is HTM methods, is obtained by setting up 4 × 4 homogeneous transform matrix Error model.In model, the error of perpendicularity is also directly represented using homogeneous matrix, have ignored the geometric meaning of themselves. The error of perpendicularity is converted into the linearity error of corresponding translation shaft to set up homogeneous transform matrix be the conventional perpendicularity of translation shaft Error modeling method.This model does not have versatility, it is impossible to applied to some extraordinary lathes, such as with inclined lathe bed of lathe Complex milling machine tool.It is that another commonly use is built that the error of perpendicularity error unrelated with position as kinematic axis is carried out to processing modeling Mould method.These models do not meet the geometric definition of the error of perpendicularity, it is impossible to reflect influence of the error of perpendicularity to machine tool accuracy.
The content of the invention
It is an object of the invention to provide a kind of lathe translation shaft error of perpendicularity modeling method, it, which can effectively set up, meets The model of lathe translation shaft error of perpendicularity geometric definition.
The purpose of the present invention is achieved through the following technical solutions:
A kind of lathe translation shaft error of perpendicularity modeling method, comprises the following steps:
Step 1, with reference to lathe translation shaft kinetic property, perpendicularity is analyzed according to translation shaft error of perpendicularity geometric definition and missed The influence that difference is moved to translation shaft;
Step 2, the homogeneous transform matrix for setting up translation shaft actual motion under the influence of the error of perpendicularity, representation is:
Wherein T represents the homogeneous transform matrix of translation shaft actual motion, P=[px,py,pz]T, represent error of perpendicularity shadow The unit direction vector of lower translation shaft actual motion axle axis is rung, n represents translation shaft move distance;
Step 3, the three translation shaft error of perpendicularity definition of analysis lathe and distribution, obtain X-axis, Y-axis and Z axis each vertical Spend error;
Step 4, according to the X-axis error of perpendicularity, X is set up in the influence moved with reference to the error of perpendicularity in step 1 to translation shaft The unit direction vector of actual motion axle axis, includes step under the influence of the error of perpendicularity of axle:
Step 4.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, determine X-axis error of perpendicularity Sxy's Specific influence is:X-axis actual motion axle axis and the preferable Y-axis of lathe be not orthogonal, i.e., X-axis actual motion axis is managed with lathe It is between the two that, more than or less than 90 °, both are (90 ° of+S in x-y plane within angle in x-y plane within angle to think Y-axis linexy);
Step 4.2, according to X-axis error of perpendicularity SxySpecific influence, actually transport under the influence of the error of perpendicularity for setting up X-axis The unit direction vector of moving axis axis is:
PX=[cos (Sxy),-sin(Sxy),0]T
Step 5, the unit direction vector for setting up actual motion axle axis under the influence of the error of perpendicularity of Y-axis;
Step 6, according to the Z axis error of perpendicularity, Z is set up in the influence moved with reference to the error of perpendicularity in step 1 to translation shaft The unit direction vector of actual motion axle axis under the influence of the error of perpendicularity of axle;
Step 7, the unit direction vector generation by actual motion axle axis under the influence of three translation shaft error of perpendicularitys of lathe Enter the homogeneous transform matrix of translation shaft actual motion, set up three translation shaft error of perpendicularity models of lathe.
Translation shaft kinetic property is to drive translation shaft along certain reference axis in its own local coordinate system in the step 1 The rectilinear translation at place, the influence that the error of perpendicularity is moved to translation shaft is so that the actual motion axis of translation shaft is sat with itself The reference axis for marking system is not parallel, changes the direction of motion of translation shaft.
Three translation shaft error of perpendicularitys of lathe are defined as in the step 3:Y-axis is sat as reference axis with machine tool reference Mark system Y-axis is overlapped, and the physical plane by X-axis and Y-axis is X-Y reference planes.
Three translation shaft error of perpendicularitys of lathe are distributed as in the step 3:The Y-axis error of perpendicularity is zero, and X-axis only has one The individual error of perpendicularity S between Y-axisxy, Z axis is in the presence of the error of perpendicularity S between Y-axisyzAnd the perpendicularity between X-axis Error Sxz
Because the Y-axis error of perpendicularity is zero in the step 5, Y-axis is not influenceed by the error of perpendicularity, actual motion axle Line direction is its ideal movements direction, and corresponding unit direction vector is PY=[0,1,0]T
According to the Z axis error of perpendicularity in the step 6, the influence moved with reference to the error of perpendicularity in step 1 to translation shaft, The specific method for setting up the unit direction vector of actual motion axle axis under the influence of the error of perpendicularity of Z axis is:
Step 6.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, Z axis error of perpendicularity SxzIt can regard as The angle of Z axis actual motion axis and y-z plane;
Step 6.2, the influence moved according to the error of perpendicularity in step 1 to translation shaft, Z axis error of perpendicularity SyzIt is specific Influence be:Z axis actual motion axle axis and the preferable Y-axis of lathe be not orthogonal, i.e. Z axis actual motion axis and lathe ideal Y Axis is between the two that, more than or less than 90 °, both are (90 ° of+S in y-z plane within angle in y-z plane within angleyz);
Step 6.3, according to Z axis error of perpendicularity SxzAnd SyzSpecific influence, set up under the influence of the error of perpendicularity of Z axis The unit direction vector of actual motion axle axis is:
PZ=[- sin (Sxz),-cos(Sxz)sin(Syz),cos(Sxz)cos(Syz)]T
In the step 7 by the unit direction of actual motion axle axis under the influence of three translation shaft error of perpendicularitys of lathe to Amount substitutes into the homogeneous transform matrix of translation shaft actual motion, sets up the specific method of three translation shaft error of perpendicularity models of lathe For:
Step 7.1, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of X-axisXSubstitute into moving axis The homogeneous transform matrix of actual motion, the error of perpendicularity model for obtaining X-axis is:
Wherein x represents the move distance of X-axis;
Step 7.2, Y-axis are not influenceed by the error of perpendicularity, in the absence of error of perpendicularity model;
Step 7.3, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of Z axisZSubstitute into motion The homogeneous transform matrix of axle actual motion, the error of perpendicularity model for obtaining Z axis is:
Wherein z represents the move distance of Z axis.
The present invention is a kind of lathe translation shaft error of perpendicularity modeling method, and specific beneficial effect is:The present invention is obtained Error of perpendicularity model reflect influence of the error of perpendicularity to machine tool accuracy, describe the geometric definition of the error of perpendicularity, The kinematic matrix of lathe translation shaft is contained, the precision of lathe synthetic geometry error model is further increased, versatility is high.
Brief description of the drawings
Fig. 1 is flow chart of the present invention;
Fig. 2 is the structural representation of certain lathe;
Fig. 3 is the influence schematic diagram that the error of perpendicularity of the present invention is moved to translation shaft X-axis;
Fig. 4 is three translation shaft error of perpendicularity distribution maps of lathe;
Fig. 5 be at lathe space line trajectory range point translation shaft error of perpendicularity modeling method predicted value and measured value it Between deviation profile figure.
Embodiment
The present invention will be further described with specific embodiment below in conjunction with the accompanying drawings.
Accompanying drawing 1 show lathe translation shaft error of perpendicularity modeling method flow chart of the present invention.Accompanying drawing 2 show certain lathe Structural representation, translation shaft error of perpendicularity modeling method of the present invention is illustrated by taking lathe shown in accompanying drawing 2 as an example.
Step 1, with reference to translation shaft kinetic property, the error of perpendicularity is analyzed to translation shaft according to error of perpendicularity geometric definition The influence of motion.Translation shaft kinetic property is driving translation shaft along straight where certain reference axis in its own local coordinate system Line is translated, and the influence that the error of perpendicularity is moved to translation shaft is so that the coordinate of translation shaft actual motion axis and local Coordinate System Axle is not parallel, changes the direction of motion of translation shaft.Accompanying drawing 3 show the influence that the error of perpendicularity moves to translation shaft X-axis and shown It is intended to.
Step 2, the homogeneous transform matrix for setting up translation shaft actual motion under the influence of the error of perpendicularity, representation is:
Wherein P=[px,py,pz]T, represent the unit direction of translation shaft actual motion axle axis under the influence of the error of perpendicularity Vector, n represents translation shaft move distance.
Step 3, analysis three translation shaft error of perpendicularitys of lathe are defined as:Translation shaft Y-axis is joined as reference axis with lathe The coincidence of coordinate system Y-axis is examined, the plane by actual translation shaft X-axis and translation shaft Y-axis is X-Y reference planes.Obtain three, lathe The translation shaft error of perpendicularity is distributed as:The translation shaft Y-axis error of perpendicularity is equal to 0, translation shaft X-axis only one of which and translation shaft Y-axis Between error of perpendicularity Sxy, Z axis is in the presence of the error of perpendicularity S between translation shaft Y-axisyzAnd hanging down between translation shaft X-axis Straight degree error Sxz.Accompanying drawing 4 is three translation shaft error of perpendicularity distribution maps of lathe.
Step 4, according to the translation shaft X-axis error of perpendicularity, the shadow moved with reference to the error of perpendicularity in step 1 to translation shaft Ring, set up the unit direction vector of actual motion axle axis under the influence of the error of perpendicularity of translation shaft X-axis, include step:
Step 4.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, determine that translation shaft X-axis perpendicularity is missed Poor SxySpecific influence be:The preferable Y-axis of X-axis actual motion axle axis and lathe is not orthogonal, i.e., X-axis actual motion axis with Lathe ideal Y-axis line is between the two that, more than or less than 90 °, both are (90 ° in x-y plane within angle in x-y plane within angle +Sxy), as shown in Figure 3;
Step 4.2, according to translation shaft X-axis error of perpendicularity SxySpecific influence, set up the error of perpendicularity of translation shaft X-axis Under the influence of the unit direction vector of actual motion axle axis be:
PX=[cos (Sxy),-sin(Sxy),0]T
Step 5, because translation shaft Y-axis does not have the error of perpendicularity, translation shaft Y-axis is not influenceed by the error of perpendicularity, real Border axis of movement direction is its ideal movements direction, and corresponding unit direction vector is PY=[0,1,0]T
Step 6, according to the translation shaft Z axis error of perpendicularity, the shadow moved with reference to the error of perpendicularity in step 1 to translation shaft Ring, set up the unit direction vector of actual motion axle axis under the influence of the error of perpendicularity of translation shaft Z axis, concretely comprise the following steps:
Step 6.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, translation shaft Z axis error of perpendicularity Sxz The angle of translation shaft Z axis actual motion axis and y-z plane can be regarded as, as shown in Figure 3;
Step 6.2, the influence moved according to the error of perpendicularity in step 1 to translation shaft, translation shaft Z axis error of perpendicularity Syz Specific influence be:Z axis actual motion axis and the preferable Y-axis of lathe be not orthogonal, i.e., Z axis actual motion axis is managed with lathe It is between the two that, more than or less than 90 °, both are (90 ° of+S in y-z plane within angle in y-z plane within angle to think Y-axis lineyz), As shown in Figure 3.
Step 6.3, according to translation shaft Z axis error of perpendicularity SxzAnd SyzSpecific influence, set up the vertical of translation shaft Z axis The unit direction vector of actual motion axle axis is under the influence of degree error:
PZ=[- sin (Sxz),-cos(Sxz)sin(Syz),cos(Sxz)cos(Syz)]T
Step 7, the unit direction vector generation by actual motion axle axis under the influence of three translation shaft error of perpendicularitys of lathe Enter the homogeneous transform matrix of translation shaft actual motion, set up three translation shaft error of perpendicularity models of lathe, including step:
Step 7.1, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of translation shaft X-axisXGeneration Enter the homogeneous transform matrix of moving axis actual motion, the error of perpendicularity model for obtaining translation shaft X-axis is:
Wherein x represents the move distance of translation shaft X-axis.
Step 7.2, translation shaft Y-axis are not influenceed by the error of perpendicularity, in the absence of error of perpendicularity model;
Step 7.3, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of translation shaft Z axisZGeneration Enter the homogeneous transform matrix of kinematic axis actual motion, the error of perpendicularity model for obtaining translation shaft Z axis is:
Wherein z represents the move distance of translation shaft Z axis.
The translation shaft error of perpendicularity model of foundation combines motion and the error of perpendicularity of kinematic axis in itself, contains fortune Moving axis ideal movements itself and the error of perpendicularity, the actual homogeneous transform matrix of translation shaft should be expressed as:
Tkr=Tk·Tke
Wherein TkeRepresent the homogeneous matrix of the basic geometric error of translation shaft, TkRepresent translation shaft error of perpendicularity model, k =x, y, z.Actual secondly kinematic matrix of the lathe comprising error is expressed as:
Tr=[TXr·TYr]-1·TZr=[TX·TXe·TY·TYe]-1·TZ·TZe
In order to verify the validity of translation shaft error of perpendicularity model of the present invention, using the side of the arteface error of perpendicularity Method carries out verification experimental verification.By the arteface fantasy sport axle that is synchronized with the movement of lathe corresponding sports axle, so as to obtain numerical value very Big imaginary vertical degree error.A line segment in lathe working space drives translation shaft as experimental traces, this track 25 measurement points of even distribution on point [360,240, -240], track are arrived from the point [0,0,0] of working space, laser tracker is used Obtain the physical location of these measurement points.It can predict that these are surveyed according to lathe translation shaft error of perpendicularity modeling method of the present invention The physical location that amount point is influenceed by the error of perpendicularity.It can just verify that translation shaft perpendicularity is missed by comparison prediction value and measured value The precision of differential mode type.Accompanying drawing 5 show the deviation between straight path spatial point predicted value and measured value.From accompanying drawing 5, adopt With the method for the present invention, translation shaft error of perpendicularity model accuracy is obtained high.

Claims (7)

1. a kind of lathe translation shaft error of perpendicularity modeling method, it is characterised in that comprise the following steps:
Step 1, with reference to lathe translation shaft kinetic property, the error of perpendicularity pair is analyzed according to translation shaft error of perpendicularity geometric definition The influence of translation shaft motion;
Step 2, the homogeneous transform matrix for setting up translation shaft actual motion under the influence of the error of perpendicularity, representation is:
Wherein T represents the homogeneous transform matrix of translation shaft actual motion, P=[px,py,pz]T, represent to put down under the influence of the error of perpendicularity The unit direction vector of moving axis actual motion axle axis, n represents translation shaft move distance;
Step 3, the three translation shaft error of perpendicularity definition of analysis lathe and distribution, obtaining X-axis, Y-axis and Z axis, each perpendicularity is missed Difference;
Step 4, according to the X-axis error of perpendicularity, X-axis is set up in the influence moved with reference to the error of perpendicularity in step 1 to translation shaft The unit direction vector of actual motion axle axis, includes step under the influence of the error of perpendicularity:
Step 4.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, determine X-axis error of perpendicularity SxyIt is specific Influence be:The preferable Y-axis of X-axis actual motion axle axis and lathe is not orthogonal, both x-y plane within angle for (90 °+ Sxy);
Step 4.2, according to X-axis error of perpendicularity SxySpecific influence, set up actual motion axle under the influence of the error of perpendicularity of X-axis The unit direction vector of axis is:
PX=[cos (Sxy),-sin(Sxy),0]T
Step 5, the unit direction vector for setting up actual motion axle axis under the influence of the error of perpendicularity of Y-axis;
Step 6, according to the Z axis error of perpendicularity, Z axis is set up in the influence moved with reference to the error of perpendicularity in step 1 to translation shaft The unit direction vector of actual motion axle axis under the influence of the error of perpendicularity;
Step 7, the unit direction vector of actual motion axle axis under the influence of three translation shaft error of perpendicularitys of lathe substituted into it is flat The homogeneous transform matrix of moving axis actual motion, sets up three translation shaft error of perpendicularity models of lathe.
2. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step Translation shaft kinetic property is to drive translation shaft along the rectilinear translation where certain reference axis in its own local coordinate system in 1, The influence that the error of perpendicularity is moved to translation shaft be so that translation shaft actual motion axis and local Coordinate System reference axis not It is parallel, change the direction of motion of translation shaft.
3. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step Three translation shaft error of perpendicularitys of lathe are defined as in 3:Y-axis overlaps with machine tool reference coordinate system Y-axis as reference axis, passes through X The physical plane of axle and Y-axis is X-Y reference planes.
4. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step Three translation shaft error of perpendicularitys of lathe are distributed as in 3:The Y-axis error of perpendicularity is zero, hanging down between X-axis only one of which and Y-axis Straight degree error Sxy, Z axis is in the presence of the error of perpendicularity S between Y-axisyzAnd the error of perpendicularity S between X-axisxz
5. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step Because the Y-axis error of perpendicularity is zero in 5, Y-axis is not influenceed by the error of perpendicularity, and actual motion axis direction is its ideal fortune Dynamic direction, corresponding unit direction vector is PY=[0,1,0]T
6. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step According to the Z axis error of perpendicularity in 6, the perpendicularity of Z axis is set up in the influence moved with reference to the error of perpendicularity in step 1 to translation shaft The specific method of the unit direction vector of actual motion axle axis is under the influence of error:
Step 6.1, the influence moved according to the error of perpendicularity in step 1 to translation shaft, Z axis error of perpendicularity SxzZ axis can be regarded as The angle of actual motion axis and y-z plane;
Step 6.2, the influence moved according to the error of perpendicularity in step 1 to translation shaft, Z axis error of perpendicularity SyzSpecific influence For:Z axis actual motion axle axis and the preferable Y-axis of lathe be not orthogonal, and both are (90 ° of+S in y-z plane within angleyz);
Step 6.3, according to Z axis error of perpendicularity SxzAnd SyzSpecific influence, actually transport under the influence of the error of perpendicularity for setting up Z axis The unit direction vector of moving axis axis is:
PZ=[- sin (Sxz),-cos(Sxz)sin(Syz),cos(Sxz)cos(Syz)]T
7. a kind of lathe translation shaft error of perpendicularity modeling method according to claim 1, it is characterised in that:The step The unit direction vector of actual motion axle axis under the influence of three translation shaft error of perpendicularitys of lathe is substituted into translation shaft reality in 7 The homogeneous transform matrix of motion, the specific method for setting up three translation shaft error of perpendicularity models of lathe is:
Step 7.1, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of X-axisXSubstitute into moving axis actual The homogeneous transform matrix of motion, the error of perpendicularity model for obtaining X-axis is:
Wherein x represents the move distance of X-axis;
Step 7.2, Y-axis are not influenceed by the error of perpendicularity, in the absence of error of perpendicularity model;
Step 7.3, the unit direction vector P by actual motion axle axis under the influence of the error of perpendicularity of Z axisZSubstitute into kinematic axis real The homogeneous transform matrix of border motion, the error of perpendicularity model for obtaining Z axis is:
Wherein z represent the motion of Z axis away from.
CN201710231121.0A 2017-04-11 2017-04-11 A kind of lathe translation shaft error of perpendicularity modeling method Pending CN106959667A (en)

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109933920A (en) * 2019-03-18 2019-06-25 西南交通大学 A kind of error vector modeling method of rotary shaft position deviation
CN109933918A (en) * 2019-03-18 2019-06-25 西南交通大学 The error vector modeling method of the rotary shaft error of perpendicularity
CN112008492A (en) * 2020-07-29 2020-12-01 成都飞机工业(集团)有限责任公司 Method for identifying perpendicularity error of translational shaft of gantry numerical control machine tool
CN114690707A (en) * 2021-12-01 2022-07-01 南京工业大学 Numerical control forming gear grinding machine linear axis geometric comprehensive error identification method based on improved BP neural network

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104537235A (en) * 2014-12-25 2015-04-22 电子科技大学 Homogeneous coordinate method based micro-checker dynamic reliability analysis method
CN105538038A (en) * 2016-01-27 2016-05-04 清华大学 Method for identifying geometric errors of machine tool translational shafts
CN106502203A (en) * 2016-10-08 2017-03-15 西南交通大学 A kind of Geometric Error for Computerized Numerical Control Milling Machine modeling method
CN106843151A (en) * 2017-02-27 2017-06-13 浙江大学 A kind of positive and negative solution method of five-shaft numerical control drilling lathe that feed shaft swings with AB axles

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104537235A (en) * 2014-12-25 2015-04-22 电子科技大学 Homogeneous coordinate method based micro-checker dynamic reliability analysis method
CN105538038A (en) * 2016-01-27 2016-05-04 清华大学 Method for identifying geometric errors of machine tool translational shafts
CN105538038B (en) * 2016-01-27 2018-01-16 清华大学 Lathe translation shaft geometric error discrimination method
CN106502203A (en) * 2016-10-08 2017-03-15 西南交通大学 A kind of Geometric Error for Computerized Numerical Control Milling Machine modeling method
CN106843151A (en) * 2017-02-27 2017-06-13 浙江大学 A kind of positive and negative solution method of five-shaft numerical control drilling lathe that feed shaft swings with AB axles

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
FU GUOQIANG: "Squareness error modeling for multi-axis machine tools via synthesizing the motion of the axes", 《THE INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY》 *

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109933920A (en) * 2019-03-18 2019-06-25 西南交通大学 A kind of error vector modeling method of rotary shaft position deviation
CN109933918A (en) * 2019-03-18 2019-06-25 西南交通大学 The error vector modeling method of the rotary shaft error of perpendicularity
CN109933920B (en) * 2019-03-18 2021-01-12 西南交通大学 Error vector modeling method for position deviation of rotating shaft
CN109933918B (en) * 2019-03-18 2021-04-27 西南交通大学 Error vector modeling method for perpendicularity error of rotating shaft
CN112008492A (en) * 2020-07-29 2020-12-01 成都飞机工业(集团)有限责任公司 Method for identifying perpendicularity error of translational shaft of gantry numerical control machine tool
CN112008492B (en) * 2020-07-29 2022-04-08 成都飞机工业(集团)有限责任公司 Method for identifying perpendicularity error of translational shaft of gantry numerical control machine tool
CN114690707A (en) * 2021-12-01 2022-07-01 南京工业大学 Numerical control forming gear grinding machine linear axis geometric comprehensive error identification method based on improved BP neural network
CN114690707B (en) * 2021-12-01 2023-08-18 南京工业大学 Numerical control forming gear grinding machine linear shaft geometric comprehensive error identification method based on improved BP neural network

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Application publication date: 20170718