CN116858157A - Method for measuring intersection position of inclined cylindrical hole and straight cylindrical hole side wall - Google Patents
Method for measuring intersection position of inclined cylindrical hole and straight cylindrical hole side wall Download PDFInfo
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- CN116858157A CN116858157A CN202310706989.7A CN202310706989A CN116858157A CN 116858157 A CN116858157 A CN 116858157A CN 202310706989 A CN202310706989 A CN 202310706989A CN 116858157 A CN116858157 A CN 116858157A
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- 238000000034 method Methods 0.000 title claims abstract description 24
- 238000005259 measurement Methods 0.000 claims abstract description 25
- 238000013519 translation Methods 0.000 description 3
- 238000004364 calculation method Methods 0.000 description 2
- 238000003754 machining Methods 0.000 description 2
- 238000000691 measurement method Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 238000012795 verification Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
- G01B21/04—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness by measuring coordinates of points
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- General Physics & Mathematics (AREA)
- Length Measuring Devices With Unspecified Measuring Means (AREA)
Abstract
The invention belongs to the field of position measurement, and particularly relates to a method for measuring the intersection position of a diagonal cylindrical hole and a straight cylindrical hole side wall. Comprising the following steps: step one: determining a reference plane A, a reference circle center B and a reference axis C, and establishing a Cartesian coordinate system OXYZ according to the reference plane A, the reference circle center B and the reference axis C; step two: translating a Cartesian coordinate system OXYZ to obtain a coordinate system O ' X ' Y ' Z ', wherein O ' is an intersection point with the axis of the straight cylindrical hole on a reference plane A; step three: rotating a coordinate system O ' X ' Y ' Z ' fixed Z ' axis, wherein the rotating angle is an angle formed by projection of a reference C and the axis of the inclined cylindrical hole 1 on a reference A surface, and obtaining a coordinate system O ' X ' Y ' Z '; step four: establishing a virtual plane, wherein the virtual plane is any plane with an intersection point with the inclined cylindrical hole; step five: and obtaining an intersection point of the axis of the inclined cylindrical hole and the virtual plane to obtain a result element as an intersection point coordinate value.
Description
Technical Field
The invention belongs to the field of position measurement, and particularly relates to a method for measuring the intersection position of a diagonal cylindrical hole and a straight cylindrical hole side wall.
Background
The measurement system adopted by the measurement software of the PMM type three-coordinate measuring machine is used when the part to be measured is two intersecting cylinders (as shown in fig. 4), and the measured size is the size of the intersection point of the axis of the inclined cylindrical hole 1 and the generatrix of the straight cylindrical hole 2. The conclusion obtained by the related function statement of the measuring system is the diameter value of an ellipse formed by intersecting the inclined cylindrical hole 1 and the straight cylindrical hole 2. The final objective of measuring the positional dimensional relationship of the intersection point of the straight cylindrical hole 2 generatrix and the axis of the inclined cylindrical hole 2 in fig. 1 cannot be achieved.
Disclosure of Invention
The invention aims to: a method of measuring the intersection of a sloped cylindrical bore with a sidewall of a straight cylindrical bore is provided.
The technical scheme is as follows:
a method of measuring the intersection of a beveled cylindrical hole with a sidewall of a straight cylindrical hole, comprising:
step one: determining a reference plane A, a reference circle center B and a reference axis C, and establishing a Cartesian coordinate system OXYZ according to the reference plane A, the reference circle center B and the reference axis C;
step two: translating a Cartesian coordinate system OXYZ to obtain a coordinate system O ' X ' Y ' Z ', wherein O ' is an intersection point with the axis of the straight cylindrical hole on a reference plane A;
step three: rotating a coordinate system O ' X ' Y ' Z ' fixed Z ' axis, wherein the rotating angle is an angle formed by projection of a reference C and the axis of the inclined cylindrical hole 1 on a reference A surface, and obtaining a coordinate system O ' X ' Y ' Z ';
step four: establishing a virtual plane, wherein the virtual plane is any plane with an intersection point with the inclined cylindrical hole;
step five: and obtaining an intersection point of the axis of the inclined cylindrical hole and the virtual plane to obtain a result element as an intersection point coordinate value.
In the first step, the reference plane is the plane where the outer end face of the straight cylindrical hole 2 is located, the reference circle center is the circle center of the measurement reference circle B which is established on the reference plane, and the reference axis is a straight line on the reference plane.
Further, in the first step, the reference axis is a line connecting two hole centers on the reference plane or a projection line of a certain end surface on the reference plane.
Further, in the first step, the cartesian coordinate system ozz is specifically: the normal direction of the plane A is the positive direction of the Z axis, the right-to-left direction of the reference C is the positive direction of the X axis, the Y axis defaults to an axis which is vertical to the X axis and the Z axis at the same time, and the origin of coordinates O is the center position of the measurement reference circle B.
Further, the second step specifically includes: the distance along the X-axis direction is the X-direction distance between the center of the reference circle B and the axis of the straight cylindrical hole 2, and the distance along the Y-axis direction is the Y-direction distance between the center of the reference circle B and the axis of the straight cylindrical hole 2.
Further, in the fourth step, the virtual plane is specifically a virtual plane parallel to the YZ plane.
Further, in the fourth step, the virtual plane is specifically a virtual plane parallel to the YZ plane obtained by translating the radius value of the straight cylindrical hole along the negative direction of the X axis.
Further, the method further comprises the following steps: step six: and comparing the obtained intersection point value with a theoretical value and calculating the position degree.
The beneficial effects are that:
the method for measuring the intersection position of the side wall of the straight cylindrical hole and the inclined cylindrical hole by using the PMM three-coordinate measuring machine fundamentally compensates for the difference of understanding modes of the measuring function in the measurement (the intersection of two cylinders in the prior art is the diameter of an ellipse formed by intersecting the two cylinders, and most of measuring patterns are required to measure the coordinate position relation of the intersection point of the bus of the straight cylindrical hole and the axis of the other inclined cylindrical hole) so that the intersection point position relation required by the patterns cannot be obtained. In the subsequent verification process, the method is found to greatly avoid errors caused by the extension of the shape and the measurement direction when two cylinders are processed because the origin of coordinates is far away from the measured part, and is superior to the position degree calculated after the intersection point is directly calculated without translating and rotating the coordinate system in the three-coordinate calculation mode. And the method can be applied to any three-coordinate measuring system software and has universality.
Drawings
FIG. 1 is a drawing of a part under test according to the present invention;
FIG. 2 reference coordinate system OXYZ and translated coordinate system O 'X' Y 'Z';
FIG. 3 is a translated coordinate system O 'X' Y 'Z' and a rotated coordinate system O 'X' Y 'Z';
fig. 4 is a z-z sectional view of fig. 1 after being rotated.
Wherein, 1 oblique cylinder hole, 2 straight cylinder hole.
Detailed Description
And establishing a measurement coordinate system for the measured part by using the existing measurement equipment and measurement system. The coordinate system is transferred to the right cylindrical hole 1 by rotation and translation of the coordinate system. And establishing a virtual plane, and enabling the axis of the inclined cylindrical hole 2 to intersect with the virtual plane to calculate the size requirement of the measured element at the intersection point position of the generatrix of the straight cylindrical hole 1 and the axis of the inclined cylindrical hole 2.
To illustrate the implementation of this method, we describe a typical case. A typical part for performing the measurement using this method is shown in fig. 4. Wherein the inclined cylindrical hole 1 is communicated with the straight cylindrical hole 2.
Firstly, a drawing is analyzed to find out a reference plane, a reference circle center and a reference axis for establishing a three-coordinate measurement coordinate system.
The reference plane of the coordinate system during measurement is the reference plane a (the plane of the outer end face of the straight cylindrical hole 2) where the projection of the measurement reference circle is located, and the center of the measurement reference circle B (the measurement reference circle on the plane of the outer end face of the straight cylindrical hole 2) in fig. 1 should be established, and the horizontal line C is the reference axis (any reference line on the plane of the outer end face of the straight cylindrical hole 2), for example, may be a line connecting two hole centers or a projection line of a certain end face on the plane a. A cartesian coordinate system can be established by using A, B, C in the figure, the normal direction of the reference plane a is the positive direction of the Z axis, the right-to-left direction of the reference C is the positive direction of the X axis, the Y axis defaults to an axis perpendicular to both the X axis and the Z axis, and the origin O of coordinates is the center position of the measurement reference circle B (e.g., the coordinate system ozz in fig. 2).
Next, we translate the coordinate system ozz along the X-axis and the Y-axis to obtain a coordinate system O 'X' Y 'Z' (as shown in fig. 2), where the distance along the X-axis direction is the distance between the center of the reference circle B and the axis of the straight cylindrical hole 2, and the distance along the Y-axis direction is the distance between the center of the reference circle B and the axis of the straight cylindrical hole 2 (e.g. 130, 50 in fig. 2). After this series of operations, the origin of the coordinate system is exactly the intersection with the axis of the straight cylindrical hole 2 on the plane a.
The coordinate system O 'X' Y 'Z' is then rotated by the angle formed by the projection of the reference C and the axis of the oblique cylindrical hole 1 on the reference a plane (e.g. 36.65 in fig. 1) to obtain the coordinate system O 'X "Y" Z' (as shown in fig. 3).
The origin of coordinates at this time is the intersection point of the axis of the inclined cylindrical hole 1 and the axis of the straight cylindrical hole 2 (the axis of the inclined cylindrical hole 1 also happens to be on the YZ plane the coordinate system is the schematic form in fig. 4 of the part taken along z-z in fig. 1.)
Along the negative direction of the X-axis in fig. 4, the position of the radius value of the straight cylindrical hole 2 (this value must be the actual radius value after machining the cylindrical hole 2) establishes a virtual plane parallel to the YZ-plane (the virtual plane needs to have any intersection with the oblique cylindrical hole, and the virtual plane may also be a plane translated by any distance along the Y-axis or the Z-axis).
The line-line intersection point problem is converted into an intersection point of the axis of the inclined cylindrical hole 1 and the virtual plane: the virtual plane is intersected with the axis of the inclined cylindrical hole 1 by using the intersection point-solving measurement function (in the PMM three-coordinate measurement software, the intersection default is that the axis of the cylinder is intersected with the plane, and the obtained result element is the coordinate value of the intersection point).
Finally, the obtained intersection point value is compared with the theoretical dimensions (Y "=0, z' =28) in fig. 2, and the actual value of the position degree is calculated.
The measurement method compensates for the phenomenon that the related measurement function of the PMM three-coordinate measurement system cannot be realized.
The translation distance of the virtual plane is consistent with the actual machining value (radius) of the straight cylindrical hole, so that the measurement distortion condition is avoided.
The translation value of the coordinate system is theoretical data specified in the pattern, so that the actual measured value of the actual measured part can be measured.
The rotation value of the coordinate system is theoretical data specified in the pattern, so that the actual measured value of the actual measured part can be measured.
The measuring method has the advantages that the coordinate system is arranged on the most closely related straight cylindrical hole, so that the measuring error brought by the shape and direction of the original coordinate system which is far away from the measured part is avoided greatly.
The measuring method is superior to other three-coordinate software calculation methods with similar functions in position degree calculation.
The measurement method can be applied to any three-coordinate measurement system as well.
The measuring method comprises the following steps:
(1) and establishing a reference coordinate system according to the requirements in the measurement graph.
(2) The reference coordinate system is translated and rotated to the theoretical dimensions into the cross-sectional view of the corresponding two cylinders, i.e. the origin coincides with one of the cylinders, the axis of the other also being in the corresponding cross-section.
(3) A virtual plane is generated that coincides with the actual radius of the central cylinder, and the intersection of this plane with the oblique cylinder axis is exactly the intersection of the central cylinder generatrix with the oblique cylinder.
(4) And comparing the coordinate value of the intersection point with the difference value of the theoretical dimension in the pattern.
(5) And calculating the actual data of the position degree according to the difference value.
Claims (8)
1. A method of measuring the intersection of a beveled cylindrical hole with a sidewall of a straight cylindrical hole, comprising:
step one: determining a reference plane A, a reference circle center B and a reference axis C, and establishing a Cartesian coordinate system OXYZ according to the reference plane A, the reference circle center B and the reference axis C;
step two: translating a Cartesian coordinate system OXYZ to obtain a coordinate system O ' X ' Y ' Z ', wherein O ' is an intersection point with the axis of the straight cylindrical hole on a reference plane A;
step three: rotating a coordinate system O ' X ' Y ' Z ' fixed Z ' axis, wherein the rotating angle is an angle formed by projection of a reference C and the axis of the inclined cylindrical hole 1 on a reference A surface, and obtaining a coordinate system O ' X ' Y ' Z ';
step four: establishing a virtual plane, wherein the virtual plane is any plane with an intersection point with the inclined cylindrical hole;
step five: and obtaining an intersection point of the axis of the inclined cylindrical hole and the virtual plane to obtain a result element as an intersection point coordinate value.
2. The method according to claim 1, wherein in the first step, the reference plane is a plane on which the outer end face of the straight cylindrical hole 2 is located, the reference center is the center of a measurement reference circle B which is set on the reference plane, and the reference axis is a straight line on the reference plane.
3. A method according to claim 2, wherein in step one, the reference axis is the line connecting two centers of the holes on the reference plane or the projection line of a certain end surface on the reference plane.
4. The method according to claim 1, wherein in step one, the cartesian coordinate system ozz is specifically: the normal direction of the plane A is the positive direction of the Z axis, the right-to-left direction of the reference C is the positive direction of the X axis, the Y axis defaults to an axis which is vertical to the X axis and the Z axis at the same time, and the origin of coordinates O is the center position of the measurement reference circle B.
5. The method according to claim 1, wherein the second step specifically comprises: the distance along the X-axis direction is the X-direction distance between the center of the reference circle B and the axis of the straight cylindrical hole 2, and the distance along the Y-axis direction is the Y-direction distance between the center of the reference circle B and the axis of the straight cylindrical hole 2.
6. Method according to claim 1, characterized in that in step four a virtual plane, in particular a virtual plane parallel to the YZ plane, is provided.
7. Method according to claim 6, characterized in that in step four a virtual plane, in particular a virtual plane parallel to the YZ plane, is obtained by translating the radius value of the right cylindrical hole along the negative direction of the X-axis.
8. The method as recited in claim 1, further comprising: step six: and comparing the obtained intersection point value with a theoretical value and calculating the position degree.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310706989.7A CN116858157A (en) | 2023-06-14 | 2023-06-14 | Method for measuring intersection position of inclined cylindrical hole and straight cylindrical hole side wall |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310706989.7A CN116858157A (en) | 2023-06-14 | 2023-06-14 | Method for measuring intersection position of inclined cylindrical hole and straight cylindrical hole side wall |
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| Publication Number | Publication Date |
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| CN116858157A true CN116858157A (en) | 2023-10-10 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202310706989.7A Pending CN116858157A (en) | 2023-06-14 | 2023-06-14 | Method for measuring intersection position of inclined cylindrical hole and straight cylindrical hole side wall |
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| Country | Link |
|---|---|
| CN (1) | CN116858157A (en) |
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2023
- 2023-06-14 CN CN202310706989.7A patent/CN116858157A/en active Pending
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