CN112033330A - Method for measuring parameters of conical bearing ring based on three coordinates - Google Patents
Method for measuring parameters of conical bearing ring based on three coordinates Download PDFInfo
- Publication number
- CN112033330A CN112033330A CN202010921458.6A CN202010921458A CN112033330A CN 112033330 A CN112033330 A CN 112033330A CN 202010921458 A CN202010921458 A CN 202010921458A CN 112033330 A CN112033330 A CN 112033330A
- Authority
- CN
- China
- Prior art keywords
- straight line
- measuring
- raceway
- fitting
- phi
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 41
- 238000001514 detection method Methods 0.000 claims description 31
- 229910000831 Steel Inorganic materials 0.000 claims description 13
- 239000010959 steel Substances 0.000 claims description 13
- 238000005259 measurement Methods 0.000 claims description 9
- 238000002360 preparation method Methods 0.000 claims 1
- 238000010586 diagram Methods 0.000 description 4
- 230000007547 defect Effects 0.000 description 1
- 238000003754 machining Methods 0.000 description 1
- 238000000691 measurement method Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000005096 rolling process Methods 0.000 description 1
Images
Classifications
-
- 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
- G01B21/10—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 diameters
-
- 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
- G01B21/042—Calibration or calibration artifacts
-
- 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
- G01B21/08—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 for measuring thickness
-
- 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
- G01B21/20—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 contours or curvatures, e.g. determining profile
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- A Measuring Device Byusing Mechanical Method (AREA)
Abstract
The invention discloses a method for measuring parameters of a conical bearing ring based on three coordinates, which comprises the steps of measuring the diameter of a raceway of an inner ring, measuring the diameter of a raceway of an outer ring, measuring the height of a large flange of the inner ring and measuring the middle diameter of the raceway of the outer ring of a double-row conical bearing. The method for measuring the diameter of the raceway of the inner ring comprises the following steps: fitting a circle on the raceways at the three height positions of the inner ring respectively to obtain three corresponding circle diameters, and calculating the raceway diameters of the inner ring corresponding to the three heights one by one according to the following formula: phi n ═ 2(r/cos alpha-r) +2htan alpha; the diameter phi n of the inner race is obtained by adding phi n1, phi n2, phi n3 and dividing by 3 according to the diameters phi n1, phi n2 and phi n3 of the inner race corresponding to the three heights one by one. The measuring method of the diameter of the raceway of the conical bearing ring is convenient to operate, good in repeatability and high in measuring precision, and can truly reflect accurate parameters of the product outline.
Description
Technical Field
The invention relates to a method for measuring parameters of a conical bearing ring based on three coordinates.
Background
For the measurement of the diameters of the inner raceway and the outer raceway of the conical bearing (single row), the existing measurement methods include an inverted cone method, a two-ball method and a four-ball method. The measurement by the inverted cone method has accumulated errors in the measurement process due to overturning and other reasons, and the measurement requirement is harsh and difficult to master; the two-ball method and the four-ball method adopt steel ball gauge blocks for comparison, and obtain a measurement result completely depending on hand feeling and estimation, and the measurement error is large. The traditional measuring method has low measuring precision which is about +/-5 mu m, and the repeatability cannot be ensured. In addition, the traditional measuring method cannot detect the middle diameter of the outer ring raceway of the double-row conical bearing on site.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a method for measuring parameters of a conical bearing ring based on three coordinates, which can obtain real data of a product contour and can automatically and accurately measure the contour parameters of a rolling bearing ring.
The purpose of the invention is realized as follows: a method for measuring parameters of a conical bearing ring based on three coordinates comprises the steps of measuring the diameter of a raceway of an inner ring, measuring the diameter of a raceway of an outer ring, measuring the height of a large flange of the inner ring and measuring the middle diameter of the raceway of the outer ring of a double-row conical bearing; wherein,
the method for measuring the diameter of the raceway of the inner ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured inner ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the measured inner ring on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at the three height positions of the inner ring respectively to obtain three corresponding circle diameters, and calculating the raceway diameters of the inner ring corresponding to the three heights one by one according to the following formula:
￠n＝￠－2(r/cosα－r)+2htanα
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; alpha is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head;
step five, adding phi n1, phi n2 and phi n3 according to the diameters phi n1, phi n2 and phi n3 of the raceways of the inner ring corresponding to the three heights one by one, and dividing the sum by 3 to obtain the diameter phi n of the raceways of the inner ring;
the method for measuring the diameter of the raceway of the outer ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured outer ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the outer ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at the three height positions of the outer ring respectively to obtain corresponding circle diameters, and calculating the diameters of the raceways of the outer ring corresponding to the three heights one by one according to the following formula:
￠w＝￠+2(r/cosβ－r)－2htanβ
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; beta is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head;
step five, adding the diameters phi w1, phi w2 and phi w3 of the outer ring raceway corresponding to the three heights one by one, and dividing the sum by 3 to obtain the diameter phi w of the outer ring raceway;
the method for measuring the height of the large flange of the inner ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured inner ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the large end face of the inner ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
fitting a circle on a raceway at any height position of the inner ring, and setting the coordinates x and y of the center of the circle to zero;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate x, moving the measuring head to the left side of the inner ring, fitting a straight line Ld1 on the left large flange, fitting a straight line Lg1 on the left raceway, rotating the measuring head by 180 degrees, moving the measuring head to the right side of the inner ring, fitting a straight line Ld2 on the right large flange, and fitting a straight line Lg2 on the right raceway;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate y, moving the measuring head to the front edge of the inner ring, fitting a straight line Ld3 on the front side large flange, fitting a straight line Lg3 on the front side roller path, rotating the measuring head by 180 degrees, moving the measuring head to the back edge of the inner ring, fitting a straight line Ld4 on the back side large flange, and fitting a straight line Lg4 on the back side roller path;
step seven, constructing an intersection point J1 of the straight line Ld1 and the straight line Lg1, constructing an intersection point J2 of the straight line Ld2 and the straight line Lg2, constructing an intersection point J3 of the straight line Ld3 and the straight line Lg3, constructing an intersection point J4 of the straight line Ld4 and the straight line Lg4, and measuring distances H1, H2, H3 and H4 from the four intersection points J1, J2, J3 and J4 to a reference plane respectively;
step eight, according to a formula: obtaining the large flange height Hd of the inner ring when Hd is (H1+ H2+ H3+ H4)/4;
the method for measuring the raceway middle diameter of the double-row conical bearing outer ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured outer ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the outer ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
fitting a circle on a raceway at any height position of the outer ring, and setting the coordinates x and y of the circle center of the circle to zero;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate x, moving the measuring head to the left side of the outer ring, fitting a straight line Ls1 on the left upper side raceway, and fitting a straight line Lx1 on the left lower side raceway; rotating the measuring head by 180 degrees and moving the measuring head to the right side of the outer ring, fitting a straight line Ls2 on the right upper side raceway, and then fitting a straight line Lx2 on the right lower side raceway;
automatically placing a three-coordinate measuring head at the circle center, locking a coordinate y, moving to the front side of the outer ring, fitting a straight line Ls3 on the front upper side raceway, and fitting a straight line Lx3 on the front lower side raceway; rotating the measuring head by 180 degrees and moving the measuring head to the back of the outer ring, fitting a straight line Ls4 on the back upper side raceway, and fitting a straight line Lx4 on the back lower side raceway;
step seven, constructing an intersection point J1 of the straight line Ls1 and the straight line Lx1, constructing an intersection point J2 of the straight line Ls2 and the straight line Lx2, and measuring a distance L1 from the intersection point J1 to the intersection point J2; constructing an intersection point J3 of the straight line Ls3 and the straight line Lx3, constructing an intersection point J4 of the straight line Ls4 and the straight line Lx4, and measuring a distance L2 from the intersection point J3 to an intersection point J4;
step eight, according to a formula: and phi z is (L1+ L2)/2 to obtain the raceway middle diameter phi z of the outer ring.
According to the method for measuring the parameters of the conical bearing ring based on the three-coordinate system, the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks are both 1 micrometer.
The method for measuring the parameters of the conical bearing ring based on the three-coordinate system is characterized in that the diameter of the measuring head based on the three-coordinate system is 2mm or 3 mm.
The method for measuring the parameters of the conical bearing ring based on the three coordinates has the following characteristics:
1) the traditional combined measurement and experience estimation are changed into coordinate reading, so that the accurate parameters of the product outline can be truly reflected;
2) the traditional measuring method is complex, especially the inverted cone method has strict measuring requirements and is difficult to master, and the existing detection method is convenient to operate;
3) the repeatability of the traditional measuring method cannot be ensured, and the repeatability of the method can reach 1 mu m;
4) the measurement accuracy is improved: the measuring precision of the invention can reach +/-1 μm;
5) according to the invention, the sizes of the raceways of the inner ring and the outer ring of the high-precision bearing and the large flanges of the inner ring can be transmitted by measuring the standard component, so that batch reworking or scrapping is effectively avoided;
6) the invention can effectively measure the symmetry of the upper and lower raceways of the outer ring of the double-row conical bearing, guide the parameter adjustment of the machine tool in the machining process and improve the grinding level.
Drawings
FIG. 1 is a schematic diagram of the measuring method of the invention based on three-coordinate conical bearing ring parameters when measuring the diameter of an inner ring raceway;
FIG. 2 is a schematic diagram of the measuring method of the invention based on three-coordinate conical bearing ring parameters when measuring the diameter of the outer ring raceway;
FIG. 3 is a schematic diagram of the measuring method of the invention based on three-coordinate conical bearing ring parameters when measuring the height of the large rib of the inner ring;
fig. 4 is a schematic diagram of the measuring method of the conical bearing ring parameters based on three coordinates in measuring the intermediate diameter of the outer ring raceway of the double-row conical bearing.
Detailed Description
The invention will be further explained with reference to the drawings.
The invention discloses a method for measuring parameters of a conical bearing ring based on three coordinates.
Referring to fig. 1, the step of measuring the diameter of the raceway of the inner ring includes the following steps:
firstly, calibrating the precision of a measuring head 4 in each direction by adopting a standard steel ball according to the size and the measuring position of a measured inner ring 10; according to the size of the measured inner ring 10, the diameter of the measuring head 4 is selected to be 2mm or 3 mm;
secondly, placing the two customized equal-height blocks 2 on a three-coordinate platform 3, wherein the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks 2 are both 1 mu m, and placing the reference surface of the measured inner ring 10 on the top surfaces of the two equal-height blocks 2;
step three, selecting two detection points on the top surfaces of the two equal-height blocks 2 respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at three heights h1, h2 and h3 of the inner ring 10, setting the height h1 to be about 2mm below a chamfer angle between the top surface of the inner ring and the raceways, setting the height h2 to be one-half of the height of the inner ring, setting the height h3 to be about 2mm above the chamfer angle between the reference surface of the inner ring and the raceways to obtain circle diameters corresponding to the three heights h1, h2 and h3 one by one, and calculating the diameters phi n1, phi n2 and phi n3 of the raceways of the inner ring corresponding to the three heights h1, h2 and h3 one by one according to the following formulas:
￠n＝￠－2(r/cosα－r)+2htanα
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; alpha is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head;
step five, according to a formula: phi n ([ phi ] n1+ [ phi ] n2+ [ phi ] n3)/3 obtains the raceway diameter of the inner ring, phi n.
Referring to fig. 2, the step of measuring the diameter of the raceway of the outer ring includes the following steps:
firstly, calibrating the precision of a measuring head 4 in each direction by adopting a standard steel ball according to the size and the measuring position of a measured outer ring 20; according to the size of the measured outer ring 20, the diameter of the measuring head 4 is selected to be 2mm or 3 mm;
secondly, placing the two customized equal-height blocks 2 on a three-coordinate platform 3, wherein the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks 2 are both 1 mu m, and placing the reference surface of the outer ring 20 to be tested on the top surfaces of the two equal-height blocks 2;
step three, selecting two detection points on the top surfaces of the two equal-height blocks 2 respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at three heights h1, h2 and h3 of the outer ring 20, setting the height h1 below the chamfer angle between the top surface of the outer ring 20 and the raceway by about 2mm, setting the height h2 at one-half height of the outer ring 20, setting the height h3 above the chamfer angle between the reference surface of the outer ring 20 and the raceway by about 2mm, obtaining circle diameters corresponding to the three heights h1, h2 and h3 one by one, and calculating the diameters phi w1, phi w2 and phi w3 of the outer ring corresponding to the three heights h1, h2 and h3 one by one according to the following formula:
￠w＝￠+2(r/cosβ－r)－2htanβ
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; beta is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head 4;
step five, according to a formula: phi w (phiw 1+ phiw 2+ phiw 3)/3 obtains the raceway diameter phi w of the outer ring.
Referring to fig. 3, the step of measuring the height of the large rib of the inner ring includes the following steps:
firstly, calibrating the precision of a measuring head 4 in each direction by adopting a standard steel ball according to the size and the measuring position of a measured inner ring 30; according to the size of the measured inner ring 30, the diameter of the measuring head 4 is selected to be 2mm or 3 mm;
secondly, placing the two customized equal-height blocks 2 on a three-coordinate platform 3, wherein the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks 2 are both 1 mu m, and placing the large end surface of the measured inner ring 30 on the top surfaces of the two equal-height blocks 2;
step three, selecting two detection points on the top surfaces of the two equal-height blocks 2 respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on a raceway at any height position of the inner ring 30, and setting the coordinates x and y of the center of the circle to zero;
automatically placing a three-coordinate measuring head 4 in the center of a circle, locking a coordinate X (the measuring head 4 cannot move in the Y-axis direction), moving the measuring head 4 to the left of the inner ring 30 along the X-axis direction and the Z-axis direction, fitting a straight line Ld1 on the left large rib by moving the measuring head 4 in the Z-axis direction, fitting a straight line Lg1 on the left raceway, rotating the measuring head 4 by 180 degrees and moving the measuring head to the right of the inner ring 30, fitting a straight line Ld2 on the right large rib by moving the measuring head 4 in the Z-axis direction, and fitting a straight line Lg2 on the right raceway;
step six, automatically placing a three-coordinate measuring head 4 at the center of a circle, locking a coordinate Y (the measuring head 4 cannot move in the X-axis direction), moving the measuring head 4 to the front side of the inner ring 30 along the Y-axis direction and the Z-axis direction, fitting a straight line Ld3 on the front side large flange by moving the measuring head 4 in the Z-axis direction, fitting a straight line Lg3 on the front side raceway, rotating the measuring head 4 by 180 degrees and moving the measuring head to the rear side of the inner ring 30, fitting a straight line Ld4 on the rear side large flange by moving the measuring head 4 in the Z-axis direction, and fitting a straight line Lg4 on the rear side raceway;
step seven, constructing an intersection point J1 of the straight line Ld1 and the straight line Lg1, constructing an intersection point J2 of the straight line Ld2 and the straight line Lg2, constructing an intersection point J3 of the straight line Ld3 and the straight line Lg3, constructing an intersection point J4 of the straight line Ld4 and the straight line Lg4, and measuring distances H1, H2, H3 and H4 from the four intersection points J1, J2, J3 and J4 to a reference plane respectively;
step eight, according to a formula: the large rib height Hd of the inner ring is obtained when Hd is (H1+ H2+ H3+ H4)/4.
Referring to fig. 4, the step of measuring the intermediate diameter of the outer race of the double-row conical bearing includes the following steps:
the method for measuring the raceway middle diameter of the double-row conical bearing outer ring comprises the following steps:
firstly, calibrating the precision of a measuring head 4 in each direction by adopting a standard steel ball according to the size and the measuring position of a measured outer ring 40; according to the size of the measured outer ring 40, the diameter of the measuring head 4 is selected to be 2mm or 3 mm;
secondly, placing the two customized equal-height blocks 2 on a three-coordinate platform 3, wherein the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks 2 are both 1 mu m, and placing the reference surface of the outer ring 40 to be tested on the top surfaces of the two equal-height blocks 2;
step three, selecting two detection points on the top surfaces of the two equal-height blocks 2 respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on a raceway at any height position of the outer ring 40, and setting the coordinates x and y of the circle center of the circle to zero;
automatically placing a three-coordinate measuring head 4 in the center of a circle, locking a coordinate X (the measuring head 4 cannot move in the Y-axis direction), moving the measuring head 4 to the left side of the outer ring 40 along the X-axis direction, fitting a straight line Ls1 on the upper left side raceway by moving the measuring head 4 along the Z-axis direction, and fitting a straight line Lx1 on the lower left side raceway; rotating the measuring head 4 by 180 degrees and locating the measuring head at the right side of the outer ring 40, moving the measuring head along the Z-axis direction to fit a straight line Ls2 on the right upper side raceway, and then fitting a straight line Lx2 on the right lower side raceway;
step six, automatically placing a three-coordinate measuring head 4 in the circle center, locking a coordinate Y (the measuring head 4 cannot move in the X-axis direction), moving the measuring head 4 to the front side of the outer ring 40 along the Y-axis direction, fitting a straight line Ls3 on the front upper side raceway by moving the measuring head 4 along the Z-axis direction, and fitting a straight line Lx3 on the front lower side raceway; rotating the measuring head 4 by 180 degrees and locating the measuring head at the rear side of the outer ring 40, moving the measuring head along the Z-axis direction to fit a straight line Ls4 on the rear upper side raceway, and fitting a straight line Lx4 on the rear lower side raceway;
step seven, constructing an intersection point J1 of the straight line Ls1 and the straight line Lx1, constructing an intersection point J2 of the straight line Ls2 and the straight line Lx2, and measuring a distance L1 from the intersection point J1 to the intersection point J2; constructing an intersection point J3 of the straight line Ls3 and the straight line Lx3, constructing an intersection point J4 of the straight line Ls4 and the straight line Lx4, and measuring a distance L2 from the intersection point J3 to an intersection point J4;
step eight, according to a formula: and phi z is (L1+ L2)/2 to obtain the raceway middle diameter phi z of the outer ring.
The above embodiments are provided only for illustrating the present invention and not for limiting the present invention, and those skilled in the art can make various changes and modifications without departing from the spirit and scope of the present invention, and therefore all equivalent technical solutions should also fall within the scope of the present invention, and should be defined by the claims.
Claims (3)
1. A method for measuring parameters of a conical bearing ring based on three coordinates comprises the steps of measuring the diameter of a raceway of an inner ring, measuring the diameter of a raceway of an outer ring, measuring the height of a large flange of the inner ring and measuring the middle diameter of the raceway of the outer ring of a double-row conical bearing; it is characterized in that the preparation method is characterized in that,
the method for measuring the diameter of the raceway of the inner ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured inner ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the measured inner ring on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at the three height positions of the inner ring respectively to obtain three corresponding circle diameters, and calculating the raceway diameters of the inner ring corresponding to the three heights one by one according to the following formula:
￠n＝￠－2(r/cosα－r)+2htanα
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; alpha is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head;
step five, adding phi n1, phi n2 and phi n3 according to the diameters phi n1, phi n2 and phi n3 of the raceways of the inner ring corresponding to the three heights one by one, and dividing the sum by 3 to obtain the diameter phi n of the raceways of the inner ring;
the method for measuring the diameter of the raceway of the outer ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured outer ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the outer ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
step four, fitting a circle on the raceways at the three height positions of the outer ring respectively to obtain corresponding circle diameters, and calculating the diameters of the raceways of the outer ring corresponding to the three heights one by one according to the following formula:
￠w＝￠+2(r/cosβ－r)－2htanβ
h is the detection height; phi is the diameter of a circle fitted by the workpiece at the h height position; beta is the inclination angle of the raceway; r is the radius of the three-coordinate measuring head;
step five, adding the diameters phi w1, phi w2 and phi w3 of the outer ring raceway corresponding to the three heights one by one, and dividing the sum by 3 to obtain the diameter phi w of the outer ring raceway;
the method for measuring the height of the large flange of the inner ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured inner ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the large end face of the inner ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
fitting a circle on a raceway at any height position of the inner ring, and setting the coordinates x and y of the center of the circle to zero;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate x, moving the measuring head to the left side of the inner ring, fitting a straight line Ld1 on the left large flange, fitting a straight line Lg1 on the left raceway, rotating the measuring head by 180 degrees, moving the measuring head to the right side of the inner ring, fitting a straight line Ld2 on the right large flange, and fitting a straight line Lg2 on the right raceway;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate y, moving the measuring head to the front edge of the inner ring, fitting a straight line Ld3 on the front side large flange, fitting a straight line Lg3 on the front side roller path, rotating the measuring head by 180 degrees, moving the measuring head to the back edge of the inner ring, fitting a straight line Ld4 on the back side large flange, and fitting a straight line Lg4 on the back side roller path;
step seven, constructing an intersection point J1 of the straight line Ld1 and the straight line Lg1, constructing an intersection point J2 of the straight line Ld2 and the straight line Lg2, constructing an intersection point J3 of the straight line Ld3 and the straight line Lg3, constructing an intersection point J4 of the straight line Ld4 and the straight line Lg4, and measuring distances H1, H2, H3 and H4 from the four intersection points J1, J2, J3 and J4 to a reference plane respectively;
step eight, according to a formula: obtaining the large flange height Hd of the inner ring when Hd is (H1+ H2+ H3+ H4)/4;
the method for measuring the raceway middle diameter of the double-row conical bearing outer ring comprises the following steps:
firstly, calibrating the precision of measuring heads in all directions by adopting standard steel balls according to the size and the measuring position of a measured outer ring;
placing the two customized equal-height blocks on a three-coordinate platform, and placing the reference surface of the outer ring to be tested on the top surfaces of the two equal-height blocks;
step three, selecting two detection points on the top surfaces of the two equal-height blocks respectively to be fitted into a plane as a detection reference plane, and setting the reference plane to be zero;
fitting a circle on a raceway at any height position of the outer ring, and setting the coordinates x and y of the circle center of the circle to zero;
automatically placing a three-coordinate measuring head at the center of the circle, locking a coordinate x, moving the measuring head to the left side of the outer ring, fitting a straight line Ls1 on the left upper side raceway, and fitting a straight line Lx1 on the left lower side raceway; rotating the measuring head by 180 degrees and moving the measuring head to the right side of the outer ring, fitting a straight line Ls2 on the right upper side raceway, and then fitting a straight line Lx2 on the right lower side raceway;
automatically placing a three-coordinate measuring head at the circle center, locking a coordinate y, moving to the front side of the outer ring, fitting a straight line Ls3 on the front upper side raceway, and fitting a straight line Lx3 on the front lower side raceway; rotating the measuring head by 180 degrees and moving the measuring head to the back of the outer ring, fitting a straight line Ls4 on the back upper side raceway, and fitting a straight line Lx4 on the back lower side raceway;
step seven, constructing an intersection point J1 of the straight line Ls1 and the straight line Lx1, constructing an intersection point J2 of the straight line Ls2 and the straight line Lx2, and measuring a distance L1 from the intersection point J1 to the intersection point J2; constructing an intersection point J3 of the straight line Ls3 and the straight line Lx3, constructing an intersection point J4 of the straight line Ls4 and the straight line Lx4, and measuring a distance L2 from the intersection point J3 to an intersection point J4;
step eight, according to a formula: and phi z is (L1+ L2)/2 to obtain the raceway middle diameter phi z of the outer ring.
2. The method for measuring the parameters of the three-coordinate-based conical bearing ring according to claim 1, wherein the parallelism difference and the flatness requirement of the top surfaces of the two equal-height blocks are both 1 μm.
3. The method of three-coordinate-based measurement of parameters of a conical bearing ring according to claim 1, wherein the diameter of the three-coordinate measuring head is 2mm or 3 mm.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010921458.6A CN112033330A (en) | 2020-09-04 | 2020-09-04 | Method for measuring parameters of conical bearing ring based on three coordinates |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010921458.6A CN112033330A (en) | 2020-09-04 | 2020-09-04 | Method for measuring parameters of conical bearing ring based on three coordinates |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN112033330A true CN112033330A (en) | 2020-12-04 |
Family
ID=73591497
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202010921458.6A Pending CN112033330A (en) | 2020-09-04 | 2020-09-04 | Method for measuring parameters of conical bearing ring based on three coordinates |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN112033330A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112629463A (en) * | 2020-12-07 | 2021-04-09 | 大连瑞谷科技有限公司 | Method for measuring regional structure size of large-scale retainer |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1743787A (en) * | 2004-08-30 | 2006-03-08 | 洛阳轴承集团有限公司 | Method for quantitative measuring height of inclined flange for cylinder roller bearing ring |
| CN101949675A (en) * | 2010-08-10 | 2011-01-19 | 洛阳Lyc轴承有限公司 | Method for measuring thickness size of big flange of inner ring of tapered roller bearing |
| CN105203052A (en) * | 2015-11-12 | 2015-12-30 | 中航工业哈尔滨轴承有限公司 | Non-contact composite dedicated bearing tester |
| CN105241407A (en) * | 2015-09-30 | 2016-01-13 | 河南科技大学 | Prediction method for radial runout of inner ring of cylindrical roller bearing |
| CN105403128A (en) * | 2015-12-15 | 2016-03-16 | 上海联合滚动轴承有限公司 | Integrated measurement instrument of inner-ring large flange of tapered roller bearing |
| CN105588531A (en) * | 2015-12-15 | 2016-05-18 | 上海联合滚动轴承有限公司 | Measurement method for measuring diameter of outer ring raceway of conical bearing |
-
2020
- 2020-09-04 CN CN202010921458.6A patent/CN112033330A/en active Pending
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1743787A (en) * | 2004-08-30 | 2006-03-08 | 洛阳轴承集团有限公司 | Method for quantitative measuring height of inclined flange for cylinder roller bearing ring |
| CN101949675A (en) * | 2010-08-10 | 2011-01-19 | 洛阳Lyc轴承有限公司 | Method for measuring thickness size of big flange of inner ring of tapered roller bearing |
| CN105241407A (en) * | 2015-09-30 | 2016-01-13 | 河南科技大学 | Prediction method for radial runout of inner ring of cylindrical roller bearing |
| CN105203052A (en) * | 2015-11-12 | 2015-12-30 | 中航工业哈尔滨轴承有限公司 | Non-contact composite dedicated bearing tester |
| CN105403128A (en) * | 2015-12-15 | 2016-03-16 | 上海联合滚动轴承有限公司 | Integrated measurement instrument of inner-ring large flange of tapered roller bearing |
| CN105588531A (en) * | 2015-12-15 | 2016-05-18 | 上海联合滚动轴承有限公司 | Measurement method for measuring diameter of outer ring raceway of conical bearing |
Non-Patent Citations (4)
| Title |
|---|
| 潘安林: "圆锥滚子轴承大挡边高度的测量计算", 《轴承》 * |
| 郝彭等: "双列圆锥滚子轴承外圈滚道直径尺寸的控制", 《轴承》 * |
| 金文胜 等: "利用三坐标测量机测量调心滚子轴承内圈压力点直径尺寸的方法", 《哈尔滨轴承》 * |
| 陈葵: "《长度计量》", 30 June 1986, 计量出版社 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112629463A (en) * | 2020-12-07 | 2021-04-09 | 大连瑞谷科技有限公司 | Method for measuring regional structure size of large-scale retainer |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN110108207B (en) | Method for calibrating geometric error of rotation center line of rotating shaft based on probe | |
| CN106141814B (en) | The detection of Digit Control Machine Tool translation shaft geometric error and discrimination method based on LaserTRACER | |
| CN110539020B (en) | Precision self-diagnosis method for double five-axis mirror milling machine tool | |
| CN107378497B (en) | Processing and detecting system and method for three-section type large-inclination-angle inclined box body | |
| JP2001330428A (en) | Evaluation method for measuring error of three- dimensional measuring machine and gage for three- dimensional measuring machine | |
| US11781849B2 (en) | Inspection master | |
| CN105290968B (en) | A kind of center alignment method of horizontal precision milling and casting machine tool work spindle and tool system | |
| US10166644B2 (en) | Processing inspection workpiece for machine tool, and on-machine measurement method using said workpiece | |
| CN102062575A (en) | Method for detecting geometric accuracy of numerically-controlled machine tool based on multi-channel laser time-sharing measurement | |
| CN111678472B (en) | Error identification method for rotary table of four-axis coordinate measuring machine | |
| CN102506666B (en) | Comprehensive test method for geometric accuracy of numerically controlled milling machine | |
| CN110530296B (en) | Method for determining line laser installation error angle | |
| US11293745B2 (en) | Inspection master | |
| CN110487210B (en) | Honeycomb core surface profile measuring method | |
| CN103759685A (en) | Detection method for recognizing geometric accuracy of four-axis machining center | |
| JP6469927B1 (en) | Inspection master | |
| CN216846033U (en) | Inner wall measuring system based on deep rise workpiece | |
| CN114623772B (en) | Four-axis online detection flexible platform and detection method for machined parts | |
| CN112033330A (en) | Method for measuring parameters of conical bearing ring based on three coordinates | |
| CN115307571B (en) | Planar linear laser sensor pose calibration part and calibration method | |
| CN106392206A (en) | Tooth form geometrical parameter measurement method for online machining of large-diameter multi-thread ring gauge | |
| Zhang et al. | The development of cylindrical coordinate measuring machines | |
| CN114102258B (en) | Machine tool position degree detection method and device | |
| CN107038269B (en) | Numerical control machining machine tool optimization method based on X-shaped aviation thin-wall standard test piece | |
| WO2023123560A1 (en) | Inner wall measurement system and method based on deep vector height workpiece |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20201204 |
|
| RJ01 | Rejection of invention patent application after publication |