CN116399284B - Device and method for measuring perpendicularity error and error direction angle of surface of part with hole - Google Patents

Device and method for measuring perpendicularity error and error direction angle of surface of part with hole Download PDF

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Publication number
CN116399284B
CN116399284B CN202310672250.9A CN202310672250A CN116399284B CN 116399284 B CN116399284 B CN 116399284B CN 202310672250 A CN202310672250 A CN 202310672250A CN 116399284 B CN116399284 B CN 116399284B
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hole
error
displacement sensor
center
holes
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CN116399284A (en
Inventor
王智伟
杨冰晴
李瑞滋
宋力
李海印
贾艳昊
付鹏豪
王吉岱
孙爱芹
魏军英
陈广庆
袁亮
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Shandong University of Science and Technology
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Shandong University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/22Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring angles or tapers; for testing the alignment of axes
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E30/00Energy generation of nuclear origin
    • Y02E30/30Nuclear fission reactors

Abstract

The application discloses a device and a method for measuring the perpendicularity error and the error direction angle of the surface of a part with a hole, which belong to the technical field of measurement and comprise a standard flat plate, wherein the standard flat plate is horizontally fixed on a first supporting table; a round through hole is arranged on the standard flat plate; a turntable is in running fit on a second supporting table below the standard flat plate; a rigid rod is vertically and fixedly arranged at the top end of the turntable and upwards penetrates through a round through hole of the standard flat plate; the rigid rod is provided with a first displacement sensor and a second displacement sensor from top to bottom in sequence. The device is simple, is easy and convenient to operate, and has low requirements on the working environment; when the device is used, the first displacement sensor and the second displacement sensor rotate along with the turntable, and the part with the hole is kept still, so that the perpendicularity errors and error direction angles of the upper surface and the lower surface of the part with the hole on the central line of the larger part with the hole can be measured in real time.

Description

Device and method for measuring perpendicularity error and error direction angle of surface of part with hole
Technical Field
The application belongs to the technical field of measurement, and particularly relates to a device and a method for measuring perpendicularity errors and error direction angles of a part surface with a hole.
Background
The upper and lower surfaces of the perforated part have small inclination errors in the processing process, so that the center line of the middle hole of the perforated part deviates from the vertical relationship with the upper and lower surfaces, namely, the perpendicularity error of the upper and lower surfaces of the perforated part to the center line of the hole is generated. In precision and ultra-precision measurement, the motion precision of the part can be influenced by the existence of perpendicularity errors of the upper surface and the lower surface of a part with holes to the center line of the holes, and the measurement of the perpendicularity errors of the upper surface and the lower surface of the part with holes to the center line of the holes is of great significance to the improvement of the performance of the part.
At present, most of the measurement of the perpendicularity errors and the error direction angles of the upper surface and the lower surface of the part with the hole to the center line of the hole are required to depend on high-precision measurement references and instruments, such as three-coordinate measuring instruments and the like, and the instruments and the equipment are generally high in cost and high in requirements on working environments. In addition, when the perpendicularity error and the error direction angle of the hole center line are measured on the upper surface and the lower surface of the larger part with holes, the parts are difficult to rotate due to the fact that the parts are heavy, and the instrument equipment is inconvenient to measure the perpendicularity error and the error direction angle of the hole center line on the upper surface and the lower surface of the larger part with holes in real time.
Based on the problems, the application provides the device and the method for measuring the perpendicularity error and the error direction angle of the surface of the part with the hole, which have the advantages of simple device, simple and convenient operation and low requirements on working environment; when the device is used, the first displacement sensor and the second displacement sensor rotate along with the turntable, and the part with the hole is kept still, so that the perpendicularity errors and error direction angles of the upper surface and the lower surface of the part with the hole on the central line of the larger part with the hole can be measured in real time.
Disclosure of Invention
The application aims to overcome the defects of the prior art and provide a device for measuring the perpendicularity error and the error direction angle of the surface of a part with a hole.
In order to achieve the above purpose, the application adopts the following technical scheme:
the measuring device for the perpendicularity error and the error direction angle of the surface of the part with the hole comprises a standard flat plate for placing the part with the hole, wherein the standard flat plate is horizontally fixed on a first supporting table;
a round through hole is formed in the standard flat plate;
a turntable is in running fit on a second supporting table below the standard flat plate;
the second supporting table is provided with a driving component for controlling the rotation of the turntable;
the top end of the turntable is vertically and fixedly provided with a rigid rod, and the rigid rod upwards penetrates through a round through hole of the standard flat plate;
the rigid rod is provided with a first displacement sensor and a second displacement sensor from top to bottom in sequence.
Preferably, the driving assembly comprises a driving motor, and an output shaft of the driving motor is coaxially and fixedly connected with a central shaft of the first belt wheel;
the central shaft of the turntable is coaxially and fixedly connected with the central shaft of the second belt wheel;
and a synchronous belt is sleeved between the first belt pulley and the second belt pulley.
The application also provides a method for measuring the perpendicularity error and the error direction angle of the surface of the part with the hole.
The method for measuring the perpendicularity error and the error direction angle of the surface of the part with the hole is implemented by adopting a device for measuring the perpendicularity error and the error direction angle of the surface of the part with the hole, and comprises the following steps:
step 1: establishing a rectangular coordinate system by taking the circle center O of the upper surface of the standard flat plate circular through hole as an origin;
step 2: placing the part with the hole on a standard flat plate, enabling the upper surface of the part with the hole to be attached to the upper surface of the standard flat plate, and enabling the first displacement sensor and the second displacement sensor to be located in the hole of the part with the hole and correspond to the first hole section and the second hole section respectively;
step 3: determining the center of the upper surface of the part with holesInclination angle of line
Distance between outer end of upper surface of the part with hole and horizontal plane M perpendicular to center line of hole at center of upper surface of part with holeThe perpendicularity error of the upper surface of the part with the hole to the center line of the hole is defined; according to the inclination angleCalculating perpendicularity error of upper surface of part with hole to center line of hole
Step 4: placing the part with the hole on a standard flat plate, enabling the lower surface of the part with the hole to be attached to the upper surface of the standard flat plate, and enabling the first displacement sensor and the second displacement sensor to be located in the hole of the part with the hole and correspond to the third hole section and the fourth hole section respectively;
step 5: determining the inclination angle of the lower surface of a perforated part to the center line of the hole
Distance between outer end of lower surface of the part with hole and horizontal plane N perpendicular to center line of hole at center of upper surface of part with holeThe perpendicularity error of the lower surface of the part with the hole to the center line of the hole is defined; according to the inclination angleCalculating perpendicularity error of lower surface of part with hole to center line of hole
Step 6: according to the inclination angleAnd inclination angleMaking a perpendicularity error direction angle of the upper surface and the lower surface of the part with the hole to the center line of the hole
Preferably, in the step 3, the inclination angle is determinedPerpendicularity error of upper surface of part with hole to center line of holeThe method of (1) comprises the following steps:
step 31: rotating the turntable so that the initial coordinates of the rigid rods are (x 0, 0);
step 32: controlling the turntable to rotate for one circle;
the first displacement sensors measure distances from the inner wall surfaces of the holes at the sections of the plurality of first holes;
the second displacement sensors measure the distances from the inner wall surfaces of the holes at the sections of the second holes;
step 33: fitting the coordinates of the circle center O1 of the first hole section according to the distance data measured by the first displacement sensor in the step 32;
fitting the coordinates of the circle center O2 at the section of the second hole according to the distance data measured by the second displacement sensor in the step 32;
step 34: making a perpendicular line of the section of the second hole through the circle center O1 of the section of the first hole, wherein the foot drop is A;
a straight line is made between points O1, O2, and a straight line is made between points A, O2;
then AO2O1 is the inclination angle of the upper surface of the part with hole to the center line of the hole
Perpendicularity error of upper surface of part with hole to center line of holeCalculated from the formula (1) of the present application,
(1)
in the formula (1), R is the radius of the part with the hole.
Preferably, in the step 5, the inclination angle is determinedPerpendicularity error of lower surface of part with hole to center line of holeThe method of (1) comprises the following steps:
step 51: rotating the turntable so that the initial coordinates of the rigid rods are (x 0, 0);
step 52: controlling the turntable to rotate for one circle;
the first displacement sensor measures the distance between the sections of the third holes and the inner wall surface of the holes;
the second displacement sensor measures the distance from the inner wall surface of the hole at the sections of the fourth holes;
step 53: fitting the coordinates of the circle center O3 at the section of the third hole according to the distance data measured by the first displacement sensor in the step 52;
fitting the coordinates of the circle center O4 at the cross section of the first pair of holes according to the distance data measured by the second displacement sensor in the step 52;
step 54: making a perpendicular line of the section of the fourth hole through the circle center O3 of the section of the third hole, and taking the foot as B;
a straight line is made between points O3, O4, and a straight line is made between points B, O4;
then BO4O3 is the inclination angle of the lower surface of the perforated part to the center line of the hole
Perpendicularity error of lower surface of part with hole to center line of holeCalculated from the formula (2) of the present application,
(2)
in the formula (2), R is the radius of the part with the hole.
Preferably, in the step 33, the coordinates of the center O1 at the first hole section and the coordinates of the center O2 at the second hole section are obtained by using least squares circle fitting by Matlab software.
Preferably, in the step 53, the coordinates of the center O3 of the third hole section and the coordinates of the center O4 of the fourth hole section are obtained by Matlab software using least squares circle fitting.
Preferably, in the step 6, a perpendicularity error direction angle is madeThe method of (1) comprises the following steps:
step 61: four points C, D, E, F are marked in the same rectangular coordinate system according to the coordinates of the points O1, O2, O3 and O4;
step 62: the passing point C, D is a straight line l1, and the passing point E, F is a straight line l2;
step 63: the included angle between the straight line l1 and the straight line l2 is the perpendicularity error direction angle
The beneficial effects of the application are as follows:
the device is simple, is easy and convenient to operate, and has low requirements on the working environment; when the device is used, the first displacement sensor and the second displacement sensor rotate along with the turntable, and the part with the hole is kept still, so that the perpendicularity errors and error direction angles of the upper surface and the lower surface of the part with the hole on the central line of the larger part with the hole can be measured in real time.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application and are incorporated in and constitute a part of this specification, illustrate embodiments of the application and together with the description serve to explain the application.
FIG. 1 is a schematic perspective view of a device for measuring the surface perpendicularity error and the error direction angle of a part with holes;
FIG. 2 is a graph showing the change of distance data collected by a first displacement sensor and a second displacement sensor along with the rotation angle of a turntable;
FIG. 3 is a view showing the inclination angle of the perforated part to the center line of the hole when the upper surface of the perforated part is attached to the upper surface of a standard flat plateSchematic of (2);
FIG. 4 is a graph showing the perpendicularity error of the upper surface of a perforated part to the center line of the hole in the present applicationSchematic of (2);
FIG. 5 shows the inclination angle of the perforated part to the center line of the hole when the lower surface of the perforated part is attached to the upper surface of a standard plateSchematic of (2);
FIG. 6 is a graph showing the perpendicularity error of the upper surface of a perforated part to the center line of the hole in the present applicationSchematic of (2);
FIG. 7 is a graph of error in perpendicularity direction angle for two perforated pieces in accordance with the present applicationSchematic of (2);
wherein:
0-part with holes, 1-standard flat plate, 2-first supporting table, 3-second supporting table, 4-rotary table, 5-rigid rod, 6-first displacement sensor, 7-second displacement sensor, 8-driving motor, 9-first belt wheel, 10-second belt wheel and 11-synchronous belt.
Detailed Description
It should be noted that the following detailed description is illustrative and is intended to provide further explanation of the application. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the present application. As used herein, the singular is also intended to include the plural unless the context clearly indicates otherwise, and furthermore, it is to be understood that the terms "comprises" and/or "comprising" when used in this specification are taken to specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof.
In the present application, the terms such as "upper", "lower", "bottom", "top", and the like refer to the orientation or positional relationship based on the orientation or positional relationship shown in the drawings, and are merely relational terms used for convenience in describing the structural relationships of the various components or elements of the present application, and are not meant to designate any one component or element of the present application, and are not to be construed as limiting the present application.
In the present application, terms such as "connected," "connected," and the like are to be construed broadly and mean either fixedly connected or integrally connected or detachably connected; can be directly connected or indirectly connected through an intermediate medium. The specific meaning of the terms in the present application can be determined according to circumstances by a person skilled in the relevant art or the art, and is not to be construed as limiting the present application.
The application will be further described with reference to the drawings and examples.
Example 1:
as shown in fig. 1, the device for measuring the surface verticality error and the error direction angle of the part with holes comprises a standard flat plate 1 for placing the part with holes 0, wherein the standard flat plate 1 is horizontally fixed on a first supporting table 2;
a round through hole is formed in the standard flat plate 1;
a turntable 4 is in running fit on the second supporting table 3 below the standard flat plate 1;
the second supporting table 3 is provided with a driving component for controlling the rotation of the turntable 4;
a rigid rod 5 is vertically and fixedly arranged at the top end of the turntable 4, and the rigid rod 5 upwards penetrates through a circular through hole of the standard flat plate 1;
the rigid rod 5 is provided with a first displacement sensor 6 and a second displacement sensor 7 from top to bottom.
Preferably, the driving assembly comprises a driving motor 8, and an output shaft of the driving motor 8 is coaxially and fixedly connected with a central shaft of the first belt wheel 9;
the central shaft of the turntable 4 is coaxially and fixedly connected with the central shaft of the second belt wheel 10;
a synchronous belt 11 is sleeved between the first belt pulley 9 and the second belt pulley 10.
Example 2:
the method for measuring the surface verticality error and the error direction angle of the part with holes is implemented by adopting the device for measuring the surface verticality error and the error direction angle of the part with holes in the embodiment 1, and comprises the following steps:
step 1: establishing a rectangular coordinate system by taking the circle center O of the upper surface of the circular through hole of the standard flat plate 1 as an origin; as shown in FIG. 1, the x-axis is oriented to the right and the y-axis is oriented vertically inward;
step 2: placing the part 0 with the hole on the standard flat plate 1, enabling the upper surface of the part 0 with the hole to be attached to the upper surface of the standard flat plate 1, and enabling the first displacement sensor 6 and the second displacement sensor 7 to be located in the hole of the part 0 with the hole and correspond to the first hole section and the second hole section respectively;
step 3: determining the inclination angle of the upper surface of the apertured part 0 to the aperture centerline
Distance between outer end of upper surface of the part with hole and horizontal plane M perpendicular to center line of hole at center of upper surface of part with holeDefined as the center of the upper surface of the part with holesA perpendicularity error of the line; according to the inclination angleCalculating perpendicularity error of upper surface of part with hole to center line of hole
Specifically, in the step 3, the inclination angle is determinedPerpendicularity error of upper surface of part with hole to center line of holeThe method of (1) comprises the following steps:
step 31: rotating the turntable 4 so that the initial coordinates of the rigid rod 5 are (x 0, 0);
step 32: the turntable 4 is controlled to rotate for one circle;
the first displacement sensors 6 measure distances from the inner wall surfaces of the holes at the sections of the first holes;
the second displacement sensor 7 measures the distance from the inner wall surface of the hole at the sections of the second holes;
wherein, the change curves of the distance data collected by the first displacement sensor 6 and the distance data collected by the second displacement sensor 7 along with the rotation angle of the turntable 4 are shown in fig. 2;
step 33: fitting the coordinates of the circle center O1 of the first hole section according to the distance data measured by the first displacement sensor 6 in the step 32;
fitting the coordinates of the circle center O2 at the section of the second hole according to the distance data measured by the second displacement sensor 7 in the step 32;
specifically, in the step 33, the coordinate of the circle center O1 at the first hole section and the coordinate of the circle center O2 at the second hole section are obtained by using least square circle fitting through Matlab software;
step 34: making a perpendicular line of the section of the second hole through the circle center O1 of the section of the first hole, wherein the foot drop is A;
a straight line is made between points O1, O2, and a straight line is made between points A, O2;
then AO2O1 is the inclination angle of the upper surface of the part 0 with hole to the center line of the holeAs shown in fig. 3; inclination angle in the present applicationIs the included angle between the center line of the hole of the part with the hole and the upper surface of the part with the hole;
perpendicularity error of upper surface of part with hole to center line of holeCalculated from the formula (1) of the present application,
(1)
in formula (1), R is the radius of the apertured part 0.
As shown in fig. 4, equation (1) can be obtained from the trigonometric function relationship.
Step 4: placing the part 0 with holes on the standard flat plate 1, enabling the lower surface of the part 0 with holes to be attached to the upper surface of the standard flat plate 1, and enabling the first displacement sensor 6 and the second displacement sensor 7 to be located in the opposite holes of the part with holes and correspond to the third opposite hole cross sections and the fourth opposite hole cross sections respectively;
step 5: determining the inclination angle of the lower surface of the apertured part 0 to the aperture centerline
Distance between outer end of lower surface of the part with hole and horizontal plane N perpendicular to center line of hole at center of upper surface of part with holeThe perpendicularity error of the lower surface of the part with the hole to the center line of the hole is defined; according to the inclination angleCalculating the center of the lower surface of the part with the hole to the holeError in perpendicularity of wire
Specifically, in the step 5, the inclination angle is determinedPerpendicularity error of lower surface of part with hole to center line of holeThe method of (1) comprises the following steps:
step 51: rotating the turntable 4 so that the initial coordinates of the rigid rod 5 are (x 0, 0);
step 52: the turntable 4 is controlled to rotate for one circle;
the first displacement sensor 6 measures the distance from the inner wall surface of the hole at the sections of the third holes;
the second displacement sensor 7 measures the distance from the inner wall surface of the hole at the sections of the fourth holes;
step 53: fitting the coordinates of the circle center O3 at the section of the third hole according to the distance data measured by the first displacement sensor 6 in the step 52;
fitting the coordinates of the center O4 of the circle at the fourth hole cross section according to the distance data measured by the second displacement sensor 7 in step 52;
specifically, in the step 53, the coordinate of the center O3 at the third hole section and the coordinate of the center O4 at the fourth hole section are obtained by using least square circle fitting through Matlab software;
step 54: making a perpendicular line of the section of the fourth hole through the circle center O3 of the section of the third hole, and taking the foot as B;
a straight line is made between points O3, O4, and a straight line is made between points B, O4;
then BO4O3 is the inclination angle of the lower surface of the apertured part 0 to the centre line of the apertureAs shown in fig. 5; inclination angle in the present applicationIs a part hole with a holeAn included angle between the center line and the lower surface of the part with the hole;
perpendicularity error of lower surface of part with hole to center line of holeCalculated from the formula (2) of the present application,
(2)
in formula (2), R is the radius of the apertured part 0.
As shown in fig. 6, the formula (2) can be obtained from the trigonometric function relationship.
Step 6: according to the inclination angleAnd inclination angleMaking a perpendicularity error direction angle of the upper surface and the lower surface of the part with the hole to the center line of the hole
Specifically, in the step 6, a perpendicularity error direction angle is madeThe method of (1) comprises the following steps:
step 61: four points C, D, E, F are marked in the same rectangular coordinate system according to the coordinates of the points O1, O2, O3 and O4; wherein the coordinates of the point C are consistent with the coordinates of the O1, the coordinates of the point D are consistent with the coordinates of the O2, the coordinates of the point E are consistent with the coordinates of the O3, and the coordinates of the point F are consistent with the coordinates of the O4;
step 62: the passing point C, D is a straight line l1, and the passing point E, F is a straight line l2;
step 63: the included angle between the straight line l1 and the straight line l2 is the perpendicularity error direction angleAs shown in fig. 7.
The device is simple, is easy and convenient to operate, and has low requirements on the working environment; when the device is used, the first displacement sensor 6 and the second displacement sensor 7 rotate along with the turntable 4, and the part 0 with the hole is kept still, so that the real-time on-site measurement of the perpendicularity error and the error direction angle of the upper surface and the lower surface of the part with the hole on the center line of the hole can be realized.
While the foregoing is directed to embodiments of the present application, other and further embodiments of the application may be devised without departing from the basic scope thereof, and the scope thereof is determined by the claims that follow.

Claims (4)

1. The method for measuring the surface verticality error and the error direction angle of the part with holes is characterized by being implemented by adopting a device for measuring the surface verticality error and the error direction angle of the part with holes, wherein the device for measuring the surface verticality error and the error direction angle of the part with holes comprises a standard flat plate for placing the part with holes, and the standard flat plate is horizontally fixed on a first supporting table;
a round through hole is formed in the standard flat plate;
a turntable is in running fit on a second supporting table below the standard flat plate;
the second supporting table is provided with a driving component for controlling the rotation of the turntable;
the top end of the turntable is vertically and fixedly provided with a rigid rod, and the rigid rod upwards penetrates through a round through hole of the standard flat plate;
the rigid rod is sequentially provided with a first displacement sensor and a second displacement sensor from top to bottom;
the measuring method comprises the following steps:
step 1: establishing a rectangular coordinate system by taking the circle center O of the upper surface of the standard flat plate circular through hole as an origin;
step 2: placing the part with the hole on a standard flat plate, enabling the upper surface of the part with the hole to be attached to the upper surface of the standard flat plate, and enabling the first displacement sensor and the second displacement sensor to be located in the hole of the part with the hole and correspond to the first hole section and the second hole section respectively;
step 3: determining the inclination angle of the upper surface of a perforated part to the centre line of the hole
Distance between outer end of upper surface of the part with hole and horizontal plane M perpendicular to center line of hole at center of upper surface of part with holeThe perpendicularity error of the upper surface of the part with the hole to the center line of the hole is defined; according to the inclination angle->Calculating perpendicularity error of upper surface of part with hole to center line of hole>
Step 4: placing the part with the hole on a standard flat plate, enabling the lower surface of the part with the hole to be attached to the upper surface of the standard flat plate, and enabling the first displacement sensor and the second displacement sensor to be located in the hole of the part with the hole and correspond to the third hole section and the fourth hole section respectively;
step 5: determining the inclination angle of the lower surface of a perforated part to the center line of the hole
Distance between outer end of lower surface of the part with hole and horizontal plane N perpendicular to center line of hole at center of upper surface of part with holeThe perpendicularity error of the lower surface of the part with the hole to the center line of the hole is defined; according to the inclination angle->Calculating the center of the lower surface of the part with the hole to the holeLine perpendicularity error->
Step 6: according to the inclination angleAnd tilt angle->Making a perpendicularity error direction angle of the upper surface and the lower surface of the part with the hole to the center line of the hole>
In the step 3, the inclination angle is determinedPerpendicularity error of upper surface of part with hole to center line of hole>The method of (1) comprises the following steps:
step 31: rotating the turntable so that the initial coordinates of the rigid rods are (x 0, 0);
step 32: controlling the turntable to rotate for one circle;
the first displacement sensors measure distances from the inner wall surfaces of the holes at the sections of the plurality of first holes;
the second displacement sensors measure the distances from the inner wall surfaces of the holes at the sections of the second holes;
step 33: fitting the coordinates of the circle center O1 of the first hole section according to the distance data measured by the first displacement sensor in the step 32;
fitting the coordinates of the circle center O2 at the section of the second hole according to the distance data measured by the second displacement sensor in the step 32;
step 34: making a perpendicular line of the section of the second hole through the circle center O1 of the section of the first hole, wherein the foot drop is A;
a straight line is made between points O1, O2, and a straight line is made between points A, O2;
then AO2O1 is the inclination angle of the upper surface of the part with hole to the center line of the hole
Perpendicularity error of upper surface of part with hole to center line of holeCalculated from the formula (1) of the present application,
(1)
in the formula (1),Rthe radius of the part with the hole;
in the step 5, the inclination angle is determinedPerpendicularity error of lower surface of part with hole to center line of hole>The method of (1) comprises the following steps:
step 51: rotating the turntable so that the initial coordinates of the rigid rods are (x 0, 0);
step 52: controlling the turntable to rotate for one circle;
the first displacement sensor measures the distance between the sections of the third holes and the inner wall surface of the holes;
the second displacement sensor measures the distance from the inner wall surface of the hole at the sections of the fourth holes;
step 53: fitting the coordinates of the circle center O3 at the section of the third hole according to the distance data measured by the first displacement sensor in the step 52;
fitting the coordinates of the circle center O4 at the cross section of the first pair of holes according to the distance data measured by the second displacement sensor in the step 52;
step 54: making a perpendicular line of the section of the fourth hole through the circle center O3 of the section of the third hole, and taking the foot as B;
a straight line is made between points O3, O4, and a straight line is made between points B, O4;
then BO4O3 is the inclination angle of the lower surface of the perforated part to the center line of the hole
Perpendicularity error of lower surface of part with hole to center line of holeCalculated from the formula (2) of the present application,
(2)
in the formula (2),Rthe radius of the part with the hole;
in the step 6, a perpendicularity error direction angle is madeThe method of (1) comprises the following steps:
step 61: four points C, D, E, F are marked in the same rectangular coordinate system according to the coordinates of the points O1, O2, O3 and O4;
step 62: passing point C, D as straight linel1, passing point E, F as a straight linel2;
Step 63: straight linel1 and straight linel2 is the error direction angle of verticality
2. The method for measuring the perpendicularity error and the error direction angle of the surface of the part with the hole according to claim 1, wherein the driving assembly comprises a driving motor, and an output shaft of the driving motor is coaxially and fixedly connected with a central shaft of the first belt wheel;
the central shaft of the turntable is coaxially and fixedly connected with the central shaft of the second belt wheel;
and a synchronous belt is sleeved between the first belt pulley and the second belt pulley.
3. The method for measuring surface verticality error and error direction angle of a part with holes according to claim 1, wherein in the step 33, coordinates of a circle center O1 at a first hole section and coordinates of a circle center O2 at a second hole section are obtained by least square circle fitting through Matlab software.
4. The method for measuring the surface verticality error and the error direction angle of the part with holes according to claim 1, wherein in the step 53, coordinates of a center O3 at a third hole section and coordinates of a center O4 at a fourth hole section are obtained by least square circle fitting through Matlab software.
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