CN108827217B - Device and method for automatically detecting roundness and/or cylindricity of sliding bearing - Google Patents

Device and method for automatically detecting roundness and/or cylindricity of sliding bearing Download PDF

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CN108827217B
CN108827217B CN201811120021.1A CN201811120021A CN108827217B CN 108827217 B CN108827217 B CN 108827217B CN 201811120021 A CN201811120021 A CN 201811120021A CN 108827217 B CN108827217 B CN 108827217B
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sliding bearing
displacement sensor
cylindricity
roundness
sensor
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CN108827217A (en
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杨小高
罗佑新
车晓毅
李志刚
杨莹
汪超
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Hunan University of Arts and Science
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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
    • G01B21/20Measuring 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

Abstract

The invention discloses a device and a method for automatically detecting the roundness and/or cylindricity of a sliding bearing, which comprises a horizontal moving device and a position adjusting device, wherein a rotating element which is used for inserting the sliding bearing in an inserting way and can rotate is arranged on the position adjusting device; at least five displacement sensors are further arranged on the sensor mounting seat, the plane formed by three displacement sensors is perpendicular to the axis direction of the sliding bearing, and the other two displacement sensors and two of the three displacement sensors are arranged side by side along the axis direction of the sliding bearing respectively. The invention can automatically detect the processing precision of bearings with different sizes and accurately calculate the roundness and cylindricity of the bearing.

Description

Device and method for automatically detecting roundness and/or cylindricity of sliding bearing
Technical Field
The invention relates to the field of surface quality detection of parts, in particular to a device and a method for automatically detecting the roundness and/or cylindricity of a sliding bearing.
Background
The sliding bearing is a key basic component for supporting the main shaft to rotate through a medium such as liquid, gas and the like. Under the working conditions of high speed and high precision, a smaller fit clearance is needed for improving the running precision of the main shaft, and the machining error of the bearing directly influences the rotation precision of the main shaft and the performance of rotating equipment.
The surface topography generated during the manufacturing process is a key factor in determining the quality of the sliding bearing. The key to affecting the measurement accuracy is the circumferential sampling density and the axial sampling frequency. The measurement is difficult due to the narrow inner space of the sliding bearing. The adoption of static detection and optical image detection has the problems of low measurement precision, excessively complex device structure and high cost. When the conventional three-point method detection device is used for detecting the surface of a part, the manual moving guide plate is adopted for detecting different positions, so that the axial adoption frequency is reduced.
Document CN106918304A discloses a device capable of simultaneously detecting the cylindricity of the outer surface and the inner hole of a shaft part, the invention utilizes an outer circular surface laser ranging sensor and an inner hole laser ranging sensor to detect the profile run-out value of the cylindrical surface, and then evaluates and calculates the acquired data by a least square circle method to evaluate the error value of the calculated circle profile. For bearings with high precision requirements, the results calculated by the method are not very accurate.
Disclosure of Invention
The invention aims to solve the technical problem of providing a device and a method for automatically detecting the roundness and/or cylindricity of a sliding bearing, which can automatically detect the machining precision of bearings with different sizes and accurately calculate the roundness and cylindricity of the bearing.
The invention comprises a horizontal moving device and a position adjusting device, wherein a rotating element which is used for being inserted with a sliding bearing and can rotate is arranged on the position adjusting device, a sensor mounting seat which can move along the axial direction of the sliding bearing and is matched with the sliding bearing is arranged on the horizontal moving device, and a center determining device which is used for determining the center of the sensor mounting seat to be consistent with the center of the sliding bearing is arranged on the sensor mounting seat; at least five displacement sensors are further arranged on the sensor mounting seat, the plane formed by three displacement sensors is perpendicular to the axis direction of the sliding bearing, and the other two displacement sensors and two of the three displacement sensors are arranged side by side along the axis direction of the sliding bearing respectively.
The horizontal moving device is used for controlling the sensor mounting seat to move in and out of the sliding bearing, and the position adjusting device is used for adjusting the position of the sliding bearing so as to keep the center of the sensor mounting seat consistent with the center of the sliding bearing; the rotating element enables the sliding bearing to rotate around the axis of the sliding bearing, so that the mobile sensor can measure the circumferential data of the sliding bearing conveniently; the center determining device is used for accurately positioning and ensuring that the center of the sensor mounting seat and the center of the sliding bearing are positioned on the same horizontal line; the displacement sensor is used for measuring the data of the circumferential direction and the axial direction of the sliding bearing.
The center determining device is an infrared emitter fixed on the sensor mounting seat and an infrared receiver fixed on the rotating element and matched with the infrared emitter, and the relative positions of the displacement sensors from the inner surface of the bearing are consistent by ensuring that the center of the sensor mounting seat is consistent with the center of the sliding bearing, so that human and mechanical errors can be reduced, and the detection precision is improved.
The horizontal moving device comprises a power element, a movable element connected with the power element and a horizontal moving element which is driven by the movable element and connected with the sensor mounting seat, wherein the power element is a servo motor, and the movable element is a transmission shaft for connecting a gear and the servo motor.
The horizontal moving element comprises a gear which is connected with the power element and can rotate, and a rack which is meshed with the gear, and the rack is fixed with the sensor mounting seat; rolling bearings are arranged on two sides of the gear, the transmission shaft is fixed with the gear, the transmission shaft gear is connected with the rolling bearings in a clearance fit mode, the rolling bearings are placed on bearing seats, the bearing seats and the servo motor are connected with sliding blocks, and the sliding blocks are matched with the guide rails to have the functions of locking and adjusting the axial positions of the guide rails; at least one sliding block used for supporting the rack is further arranged on the guide rail.
The position adjusting device comprises a translation device, a lifting device and a rotating device, and the rotating device is connected with the rotating element; the translation device comprises a guide plate and a moving block arranged on the guide plate; the lifting device is a lifting platform which is arranged on the moving block.
The rotating device comprises a fixed seat connected with the lifting device, a stepping motor arranged on the fixed seat and a rotating element connected with the stepping motor, wherein the stepping motor can drive the rotating element to rotate by rotating, so that the sliding bearing rotates around the axis of the sliding bearing.
The rotating element is a four-jaw chuck, the four-jaw chuck is connected with the stepping motor through a coupler, and the four-jaw chuck can fix sliding bearings with different sizes, so that the device is wider in application range.
The method also comprises the following detection steps:
(1) the position of the rotating element is adjusted through a position adjusting device, calibration is carried out through a center determining device, the center of a sensor mounting seat and the center of the sliding bearing are located on the same horizontal line, then the displacement sensor is horizontally moved into the sliding bearing, the sliding bearing is rotated, circumferential sampling is carried out on the inner surface of the sliding bearing, and the surface profile variation and the radius variation of each part of the section in the axial direction of the sliding bearing are measured through the displacement sensor I, the displacement sensor II and the displacement sensor III;
(2) starting a power element to enable a displacement sensor to move along the axial direction of the sliding bearing, and measuring the motion error of a sensor mounting seat in the axial direction of the sliding bearing by using a displacement sensor I, a displacement sensor IV, a displacement sensor II and a displacement sensor V;
(3) from the measurement data, roundness and/or cylindricity is calculated.
The roundness calculation method comprises the following steps:
(1) using s as circumferential data tested by the displacement sensor I, the displacement sensor II and the displacement sensor III0(θ,z)、s1(θ,z)、s2(theta, z) represents, in the above formula,
Figure BDA0001810014800000031
the plane formed by the displacement sensor I, the displacement sensor II and the displacement sensor III is vertical to the axis direction of the sliding bearing, and the included angle between the displacement sensor I and the displacement sensor II is psi1The included angle between the displacement sensor II and the displacement sensor III is psi2The displacement sensor I, the displacement sensor IV, the displacement sensor II and the displacement sensor V are respectively arranged side by side along the axis direction of the sliding bearing, and the distance between the two displacement sensors arranged side by side is e;
further, Z is a sliding bearing axis direction, x is a vertical direction perpendicular to Z, y is a horizontal direction perpendicular to x and Z two by two, and r (θ, Z) is a Z-sectionSurface profile variation, x (theta, Z), y (theta, Z) is a principal axis rotation error component at the Z section; epsilonx(z),εy(z) is the component of the motion error of the sensor mounting seat (12) in the x and y directions at the axial direction z;
(2) to s0(θ,z)、s1(θ,z)、s2(θ, z) weighted summation, resulting in:
Figure BDA0001810014800000032
(3) performing discrete Fourier transform on the formula obtained in the step (2) and applying time delay phase shift of the Fourier transform to obtain:
Figure BDA0001810014800000033
wherein the index of e is: in ψ, where n is the harmonic order and i is the imaginary unit;
(4) carrying out discrete Fourier inverse change on the formula obtained in the step (3) to obtain the surface roundness of the sliding bearing;
r1(θ,z)=F-1[R(θ,z)];
in the formula F-1Denotes the inverse fourier transform of R (θ, z).
The method for calculating the cylindricity comprises the following steps:
(1) using s as circumferential data tested by the displacement sensor I, the displacement sensor II and the displacement sensor III0(θ,z)、s1(θ,z)、s2(theta, z) represents, in the above formula,
Figure BDA0001810014800000034
the plane formed by the displacement sensor I, the displacement sensor II and the displacement sensor III is vertical to the axis direction of the sliding bearing, and the included angle between the displacement sensor I and the displacement sensor II is psi1The included angle between the displacement sensor II and the displacement sensor III is psi2The displacement sensor I, the displacement sensor IV, the displacement sensor II and the displacement sensor VThe displacement sensors are respectively arranged side by side along the axis direction of the sliding bearing, and the distance between the two displacement sensors arranged side by side is e;
in addition, Z is the axial direction of the sliding bearing, x is the vertical direction perpendicular to Z, y is the horizontal direction perpendicular to x and Z, r (theta, Z) is the surface profile variation of the Z section, and x (theta, Z) is the rotation error component of the main shaft at the Z section; epsilonx(z),εy(z) is the component of the motion error of the sensor mounting seat in the x and y directions at the axial direction z;
(2) according to s0(θ,z)、s1(θ,z)、s2(θ, z) calculating the radial variation at each position in the axial direction of the sliding bearing, wherein the calculation formula is as follows:
Figure BDA0001810014800000041
wherein N is a harmonic order;
(3) according to the output data of the axial direction of the sliding bearing tested by the displacement sensor I and the displacement sensor IV, the following can be obtained:
Figure BDA0001810014800000042
the motion error in the x direction can be obtained by changing the formula:
εx(z)=s1(θ,z)-εx(z-e)-s4(θ,z);
according to the output data of the axial direction of the sliding bearing tested by the displacement sensor II and the displacement sensor V, the motion error in the y direction can be obtained:
Figure BDA0001810014800000043
wherein epsilon2,x(z) is the error of the movement in the x direction, ε, measured by the displacement sensor II1,x(z) is the motion error in the x direction measured by the displacement sensor I;
the sensor I calculates the rotary motion error of the sliding bearing (5) in the detection process, and the instantaneous component in the X-axis direction is as follows:
x(θ,z)=s0(θ,z)-r(θ,z)+εx(z);
taking theta as 0 DEG and theta as 90 DEG from data sampled by the displacement sensor I, and fitting by the following formula to obtain polynomial coefficients:
Figure BDA0001810014800000044
wherein j is the order of the fitting polynomial Z; pj(z) is an orthogonal polynomial of the formula:
Figure BDA0001810014800000051
taking 4 points along the axis, combining coordinate transformation and interpolation method, fitting with cubic polynomial, rounding off 0 and 1 times in the approximation, and calculating PjCoefficient e of (z)xjAnd eyjAnd obtaining the relative bending amount on the axis of the sliding bearing as follows:
Figure BDA0001810014800000052
(4) by radial variation r everywhere in the axial direction0(z) bearing surface roundness r1(theta, z) and the relative amount of bending on the axis r2(z) calculating the cylindricity of the plain bearing as:
r(θ,z)=r0(z)+r1(θ,z)+r2(z)。
the sliding bearing is driven to rotate by the stepping motor, the sensor mounting seat is driven by the servo motor to dynamically detect the narrow inner surface morphology of the sliding bearing, data are collected by the mobile sensor, and the collected data are analyzed and processed by using Labview and MATLAB software, so that the automatic detection of the machining precision of the sliding bearing can be realized.
The detection device and the detection method have the advantages that the detection precision is high, the machining precision of the sliding bearing can be automatically detected, the tolerance value of the detected roundness and cylindricity can be accurate to 0.0001mm, and the detection device and the detection method can be suitable for sliding bearings with different sizes.
Drawings
FIG. 1 is a schematic structural diagram of the present invention.
Fig. 2 is a schematic diagram of the arrangement of sensors on the sensor mount of the present invention.
1 rolling bearing, 2 gears, 3 transmission shafts, 4 displacement sensors, 41 displacement sensors I, 42 displacement sensors II, 43 displacement sensors III, 44 displacement sensors IV, 45 displacement sensors V, 5 sliding bearings, 6 four-jaw chucks, 7 couplings, 8 stepping motors, 9 guide rails, 10 racks, 11 servo motors, 12 sensor mounting seats, 13 infrared emitters, 14 fixed seats, 15 lifting tables and 16 guide plates.
Detailed Description
Example 1
As shown in fig. 1-2, the present invention includes a horizontal moving device and a position adjusting device, the position adjusting device is provided with a rotating element which is used for inserting the sliding bearing 5 and can rotate, the horizontal moving device is provided with a sensor mounting seat 12 which can move along the axial direction of the sliding bearing 5 and is matched with the sliding bearing 5, the sensor mounting seat 12 is provided with a center determining device which is used for determining the center of the sensor mounting seat 12 is consistent with the center of the sliding bearing 5; at least five displacement sensors 4 are further arranged on the sensor mounting seat 12, the plane formed by three displacement sensors is perpendicular to the axis direction of the sliding bearing 5, and the other two displacement sensors and two of the three displacement sensors are arranged side by side along the axis direction of the sliding bearing 5 respectively.
The center determining device is an infrared emitter 13 fixed on the sensor mounting seat 12 and an infrared receiver fixed on the rotating element and matched with the infrared emitter 13, and by ensuring that the center of the sensor mounting seat 12 is consistent with the center of the sliding bearing 5, the relative positions of the displacement sensors 4 from the inner surface of the sliding bearing 5 are consistent, so that human and mechanical errors can be reduced, and the detection accuracy is improved.
The horizontal moving device comprises a power element, a movable element connected with the power element and a horizontal moving element which is driven by the movable element and connected with the sensor mounting seat 12, wherein the power element is a servo motor 11, and the movable element is a transmission shaft 3 connecting the gear 2 and the servo motor 11.
The horizontal moving element comprises a gear 2 which is connected with the power element and can rotate, and a rack 10 which is meshed with the gear, wherein the rack 10 is fixed with a sensor mounting seat 12; rolling bearings 1 are arranged on two sides of the gear 2, the transmission shaft 3 penetrates through the gear 2 and the rolling bearings 1, the transmission shaft 3 is fixed with the gear 2, the transmission shaft 3 is connected with the rolling bearings 1 in a clearance fit mode, the rolling bearings 1 are installed on bearing seats, the bearing seats and the servo motor are connected with sliding blocks, and the sliding blocks are matched with guide rails to have the functions of locking and adjusting the axial positions of the guide rails; at least one sliding block for supporting the rack 10 is further arranged on the guide rail 9.
The position adjusting device comprises a translation device, a lifting device and a rotating device, the rotating device is connected with the rotating element, and the translation device comprises a guide plate and a moving block arranged on the guide plate 16; the lifting device is a lifting platform 15, and the lifting platform 15 is arranged on a moving block.
The rotating device comprises a fixed seat 14 connected with the lifting device, a stepping motor 8 arranged on the fixed seat 14 and a rotating element connected with the stepping motor 8, wherein the stepping motor 8 rotates to drive the rotating element to rotate, so that the sliding bearing 5 rotates around the axis of the sliding bearing.
The rotating element is a four-jaw chuck 6, the four-jaw chuck 6 is connected with a stepping motor 8 through a coupler 7, and the four-jaw chuck 6 can fix sliding bearings 5 with different sizes, so that the device is wider in application range.
The detection steps of this embodiment are:
(1) the position of the sliding bearing 5 is adjusted by adjusting the position of a moving block on a guide plate 16 and the height of a lifting platform 15, calibration is carried out by an infrared emitter 13, the center of a sensor mounting seat 12 and the center of the sliding bearing 5 are positioned on the same horizontal line, then a servo motor 11 is started to horizontally move a displacement sensor 4 into the sliding bearing 5, and the displacement sensor 4 is connected with a computer through a collection card;
(2) starting a stepping motor 8, carrying out circumferential sampling on the inner surface of the sliding bearing 5 by using a displacement sensor 4 through rotating the sliding bearing 5, and measuring the surface profile variation and the main shaft revolution error component of the axial section of the sliding bearing 5 through a displacement sensor I41, a displacement sensor II42 and a displacement sensor III 43;
(3) setting a servo motor 11 to rotate reversely, enabling the displacement sensor 4 to move along the axis direction of the sliding bearing 5, and measuring the motion error of the sensor mounting seat 12 in the motion process by the displacement sensor I41, the displacement sensor IV 44, the displacement sensor II42 and the displacement sensor V45;
(4) and calculating the tolerance value of the cylindricity of the bearings with different sizes according to the measurement data.
Comparative example 1
(1) Detecting the surface of the sliding bearing 5 by a three-point method, rotating the sliding bearing 5, detecting the numerical value of an indicator in the process of one revolution of the sliding bearing 5 in the cross section by using a displacement sensor I41, a displacement sensor II42 and a displacement sensor III43, and taking half of the maximum indication value and the minimum indication value as a cylindricity error value;
(2) the displacement sensors I, II and III are translated, so that the three displacement sensors detect cylindricity error values of the front section, the middle section and the rear section of the sliding bearing, and tolerance values of the cylindricity error values of the three sections of the bearing are calculated;
(3) and detecting the tolerance value of the cylindricity of the bearings with different sizes by using a three-point method.
TABLE 1 different devices and methods for measuring tolerance values of cylindricity of the same bearing
Figure BDA0001810014800000071
Experiments show that the cylindricity tolerance values of different bearings calculated by the method of the embodiment 1 are smaller (40-60% smaller than the corresponding tolerance value of the comparative example 1), and the tolerance value can be accurate to 0.0001 mm; the cylindricity tolerance value detected by using the device and the method in the comparative example 1 is large, and the tolerance value can only be accurate to 0.01mm, which shows that the bearing roundness and cylindricity detected by using the device and the method in the embodiment 1 have higher accuracy and smaller error.

Claims (8)

1. A method for automatically detecting the roundness and/or cylindricity of a sliding bearing is characterized in that a device for automatically detecting the roundness and/or cylindricity of the sliding bearing comprises a horizontal moving device and a position adjusting device, wherein a rotating element which is used for being inserted into the sliding bearing (5) and can rotate is arranged on the position adjusting device, a sensor mounting seat (12) which can move along the axial direction of the sliding bearing (5) and is matched with the sliding bearing (5) is arranged on the horizontal moving device, and a center determining device which is used for determining the center of the sensor mounting seat (12) to be consistent with the center of the sliding bearing (5) is arranged on the sensor mounting seat (12); the sensor mounting seat (12) is also provided with at least five displacement sensors (4), wherein the plane formed by three displacement sensors is vertical to the axial direction of the sliding bearing (5), and the other two displacement sensors and two of the three displacement sensors are respectively arranged side by side along the axial direction of the sliding bearing (5);
method for automatically detecting the roundness and/or cylindricity of a sliding bearing, comprising the following steps:
(1) the position of the rotating element is adjusted through a position adjusting device, calibration is carried out through a center determining device, the center of a sensor mounting seat (12) and the center of a sliding bearing (5) are located on the same horizontal line, then a displacement sensor (4) is horizontally moved into the sliding bearing (5), the sliding bearing (5) is rotated, circumferential sampling is carried out on the inner surface of the sliding bearing (5), and the surface profile variation and the radius variation of each part of the section of the sliding bearing (5) in the axial direction are measured through three displacement sensors;
(2) starting a power element to enable the displacement sensor (4) to move along the axial direction of the sliding bearing (5), and measuring the motion error of the sensor mounting seat (12) by the displacement sensors (4) which are arranged side by side along the axial direction of the sliding bearing (5);
(3) calculating roundness and/or cylindricity according to the measurement data;
the roundness calculation method comprises the following steps:
(1) a displacement sensor I (41), a displacement sensor II (42) and a displacement sensorIII (43) circumferential data for the test with s0(θ,z)、s1(θ,z)、s2(theta, z) represents, in the above formula,
the plane formed by the displacement sensor I (41), the displacement sensor II (42) and the displacement sensor III (43) is vertical to the axis direction of the sliding bearing (5), and the included angle between the displacement sensor I (41) and the displacement sensor II (42) is psi1The included angle between the displacement sensor II (42) and the displacement sensor III (43) is psi2The displacement sensor I (41), the displacement sensor IV (44), the displacement sensor II (42) and the displacement sensor V (45) are respectively arranged side by side along the axis direction of the sliding bearing (5), and the distance between the two displacement sensors (4) arranged side by side is e;
in addition, z is the axial direction of the sliding bearing (5), y is the horizontal direction, and x is vertical to y and z in pairs;
r (theta, Z) is the surface profile variation of the Z section, x (theta, Z) is the main shaft rotation error component at the Z section; epsilonx(z),εy(z) is the component of the motion error of the sensor mounting seat (12) in the x and y directions at the axial direction z;
(2) to s0(θ,z)、s1(θ,z)、s2(θ, z) weighted summation, resulting in:
Figure FDA0002302013240000021
(3) performing discrete Fourier transform on the formula obtained in the step (2) and applying time delay phase shift of the Fourier transform to obtain:
Figure FDA0002302013240000022
wherein the index of e is: in ψ, where n is the harmonic order and i is the imaginary unit;
(4) carrying out discrete Fourier inverse change on the formula obtained in the step (3) to obtain the surface roundness of the sliding bearing (5);
r1(θ,z)=F-1[R(θ,z)];
in the formula F-1Denotes the inverse fourier transform of R (θ, z).
2. The method for automatically detecting the roundness and/or cylindricity of a plain bearing according to claim 1, wherein the centering means is an infrared emitter (13) fixed to the sensor mount (12) and an infrared receiver fixed to the rotary member to be fitted with the infrared emitter (13).
3. The method for automatically detecting the roundness and/or cylindricity of a sliding bearing according to claim 1, wherein the horizontal movement means comprises a power element, a movable element connected to the power element, and a horizontal movement element which is moved by the movable element and is connected to the sensor mount (12).
4. A method for automatically detecting the roundness and/or cylindricity of a plain bearing according to claim 3, characterized in that said horizontally moving element comprises a gear wheel (2) connected to a power element and rotatable, and a rack (10) engaged with the gear wheel, said rack (10) being fixed to the sensor mounting seat (12).
5. The method for automatically detecting the roundness and/or cylindricity of a plain bearing according to claim 1, wherein the position adjusting means comprises a translation means, a lifting means and a rotation means, the rotation means being connected to a rotating element.
6. The method for automatically detecting the roundness and/or cylindricity of a sliding bearing according to claim 5, characterized in that the rotating means comprises a holder (14) connected to the lifting means, a stepping motor (8) provided on the holder (14), and a rotating member connected to the stepping motor (8).
7. The method for automatically detecting the roundness and/or cylindricity of a plain bearing according to claim 5 or 6, characterized in that the rotating element is a four-jaw chuck (6), the four-jaw chuck (6) being connected to a stepping motor (8) by means of a coupling (7).
8. The method for automatically detecting the roundness and/or cylindricity of a sliding bearing according to claim 1, wherein the calculation method of the cylindricity comprises:
(1) according to s0(θ,z)、s1(θ,z)、s2(θ, z) the change in radius of the slide bearing shaft (5) at each location is calculated by the following formula:
Figure FDA0002302013240000031
wherein N is a harmonic order;
(2) according to the output data of the sliding bearing (5) tested by the displacement sensor I (41) and the displacement sensor IV (44) in the axial direction, the motion error epsilon in the x direction is obtainedx(z); according to the output data of the sliding bearing (5) tested by the displacement sensor II (42) and the displacement sensor V (45) in the axial direction, the motion error s in the y direction is obtainedy(z); calculating a rotary motion error of the sliding bearing (5) in a detection process by using a displacement sensor I (41) to obtain an instantaneous component X (theta, z) in the X-axis direction;
data sampled by the displacement sensor i (41) is fitted by taking θ as 0 ° and θ as 90 °, and a polynomial coefficient is obtained by:
wherein j is the order of the fitting polynomial Z; pj(z) is an orthogonal polynomial of the formula:
Figure FDA0002302013240000033
taking 4 points along the axis, combining coordinate transformation and interpolation method, using more than two timesFitting a polynomial, and rounding off 0 and 1 times in the approximation to obtain PjCoefficient e of (z)xjAnd eyjThe relative bending amount on the axis of the sliding bearing (5) is obtained as follows:
Figure FDA0002302013240000034
(3) by radial variation r everywhere in the axial direction0(z) surface roundness r of plain bearing (5)1(theta, z) and the relative amount of bending on the axis r2(z) calculating the cylindricity of the sliding bearing (5) as:
r(θ,z)=r0(z)+r1(θ,z)+r2(z)。
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CN206930268U (en) * 2017-03-22 2018-01-26 齐鲁工业大学 The device of axial workpiece outer surface and endoporus cylindricity can be detected simultaneously
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Application publication date: 20181116

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