CN112880947A - Angular contact ball bearing angular stiffness measuring device and measuring method - Google Patents
Angular contact ball bearing angular stiffness measuring device and measuring method Download PDFInfo
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- G—PHYSICS
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- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
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- G01M5/005—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress by means of external apparatus, e.g. test benches or portable test systems
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- G—PHYSICS
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- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
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Abstract
An angular rigidity measuring device and a measuring method for an angular contact ball bearing are disclosed, wherein the device comprises a base, and a bearing fixing device, a measuring device and a bending moment loading device which are arranged on the base; the implementation process is as follows: sleeving the angular contact ball bearing to be detected on the main shaft, fixing the outer ring of the angular contact ball bearing to be detected in the cylindrical hole of the base, and controlling the servo electric cylinder to be away from the radial plane of the main shaft after the angular contact ball bearing to be detected is fixedXApplication of radial force at 1FRadial forceFA bending moment is generated relative to the angular contact ball bearing to be detectedMSo that the angular contact ball bearing to be detected generates a yaw angle along the axial direction⍺. And finally, calculating the angular stiffness value of the angular contact ball bearing according to the readings of the force sensor, the upper displacement sensor and the lower displacement sensor. The device can accurately measure angular stiffness of the angular contact ball bearing and has the advantages of simple structure and strong reliability.
Description
Technical Field
The invention relates to the technical field of angular contact ball bearing rigidity testing, in particular to an angular contact ball bearing angular rigidity measuring device and measuring method.
Background
It is known that bearings are one of the more widely used components in modern mechanical equipment to support shafts and parts thereon and reduce friction and wear between kinematic pairs. The rigidity of the bearing is one of the main factors influencing the dynamic characteristics of the bearing, and the rigidity characteristics can directly influence the overall performance of the main shaft and greatly influence the machining.
The rigidity of the bearing mainly comprises axial rigidity, radial rigidity and angular rigidity. At present, the measurement of the rigidity of the diagonal contact ball bearing is mostly concentrated on radial rigidity and axial rigidity, the position stability of the bearing along the X direction and the Y direction is evaluated by the two indexes, the angular rigidity is used for describing the capability of resisting deflection along the axial direction, and the attitude stability of a rotor can be evaluated. But the current angular rigidity measurement method of the diagonal contact ball bearing is less.
Disclosure of Invention
In order to solve the technical problems, the invention aims to provide an angular stiffness measuring device and an angular stiffness measuring method for an angular contact ball bearing, wherein the angular stiffness measuring device can accurately measure the angular stiffness of the angular contact ball bearing and has the advantages of simple structure and high reliability.
The technical scheme adopted by the invention is as follows: an angular rigidity measuring device of an angular contact ball bearing comprises a base, and a bearing fixing device, a measuring device and a bending moment loading device which are arranged on the base;
the bearing fixing device comprises a main shaft assembly, and an inner ring and an outer ring of the angular contact ball bearing to be detected are fixed through a main shaft in the main shaft assembly and a cylindrical hole arranged on the base;
the bending moment loading device comprises a linear driving mechanism and a loading rod, wherein the output end of the linear driving mechanism is connected with the loading rod through a transmission assembly, one end of the loading rod is in contact with a main shaft in the main shaft assembly and applies radial loading force output by the linear driving mechanism to the main shaft, and the bending moment loading device also comprises a force sensor for measuring the magnitude of the radial loading force in real time;
the measuring device comprises an upper displacement sensor and a lower displacement sensor which are distributed above and below the angular contact ball bearing to be detected, and the detection ends of the upper displacement sensor and the lower displacement sensor are respectively used for detecting and feeding back the variation of the radial displacement of the main shaft with the corresponding height.
Preferably, the spindle assembly comprises a spindle, a bearing assembly for mounting the spindle, and a fixed guide rail, and the spindle is disposed on a slider in the fixed guide rail through the bearing assembly.
Further optimizing, the bearing subassembly be self-aligning bearing and self-aligning bearing frame, the main shaft passes through self-aligning bearing and installs in self-aligning bearing frame.
Further preferably, the bending moment loading device comprises a linear driving mechanism, a transmission assembly, a force sensor and a loading rod, and the output end of the linear driving mechanism is connected with the loading rod sequentially through the transmission assembly, the force sensor and the loading rod.
Further preferably, the linear driving mechanism is a servo electric cylinder, and the servo electric cylinder is arranged on the base through a base plate and a loading guide rail.
Further preferably, the transmission assembly comprises a first connector, an elastic element and a second connector, and the output end of the linear driving mechanism is connected with the force sensor sequentially through the first connector, the elastic element and the second connector and transmits the radial loading force to the loading rod.
Further optimize, first connector, elastic element, second connector and force transducer pass through the slip table setting on the base.
Preferably, the elastic element is a spring.
Further optimize, measuring device, wherein go up displacement sensor and pass through sensor support and last sensor guide rail setting on the base, lower displacement sensor passes through sensor support and sensor guide rail setting down on the base.
The measuring method using the device comprises the following steps:
s1, fixing the angular contact ball bearing to be detected by vertically arranging a main shaft and a cylindrical hole arranged on the base, and after fixing, distributing the detection ends of the upper displacement sensor and the lower displacement sensor above and below the angular contact ball bearing to be detected, wherein setting: the distance from the detection point of the upper displacement sensor to the radial central plane of the angular contact ball bearing to be detected is X1The distance between the detection point of the lower displacement sensor and the radial central plane of the angular contact ball bearing to be detected is X2；
S2, outputting a radial loading force to the main shaft through the linear driving mechanism, wherein the distance from a force action point to a radial central plane of the angular contact ball bearing to be detected is X1, after outputting a certain radial loading force, enabling the angular contact ball bearing to generate a yaw angle along the axial direction, and simultaneously enabling the upper displacement sensor and the lower displacement sensor to respectively obtain a variation value Y of the radial displacement of the main shaft1And Y2, calculating the angular stiffness value of the angular contact ball bearing to be detected through a formula according to the obtained parameter values and the radial loading force value detected by the force sensor.
The invention has the beneficial effects that:
firstly, the scheme integrally forms the bearing fixing device, the measuring device and the bending moment loading device into a device for measuring the angular rigidity of the angular contact ball bearing through optimized design, can accurately measure the angular rigidity of the angular contact ball bearing, and simultaneously has the advantages of simple structure and strong reliability; the specific analysis is as follows: among the bearing fixing device who wherein, adopts, the main shaft that is used for the fixed bearing inner race that waits to detect passes through self-aligning bearing and self-aligning bearing seat and sets up on fixed guide, after exerting radial force, the main shaft lower extreme can be followed fixed guide and remove by a small amount together with self-aligning bearing, self-aligning bearing seat, avoids influencing the beat of main shaft, can effectively guarantee the accuracy of measuring result.
In the scheme, in the bending moment loading device, a transmission assembly for transmitting the radial loading force comprises a first connector, a spring, a second connector and a force sensor, the radial force output by the linear driving mechanism is transmitted sequentially through the components, the spring can ensure stable change of the applied radial force, the force sensor can measure the magnitude of the radial loading force in real time, the measured value of the radial loading force can be sent into a computer in real time to be processed on one hand, and can be fed back to the bending moment loading device on the other hand, and the magnitude of the radial loading force can be conveniently adjusted in real time.
In the third scheme, the bearing fixing device, the measuring device and the bending moment loading device are all provided with the guide rail assembly with adjustable positions, so that the adjustment of the position of the device on the base can be realized, and the rear angle contact ball bearing can be conveniently detected to be disassembled and assembled.
Drawings
FIG. 1 is a front view of the present invention;
FIG. 2 is a top view of the present invention;
FIG. 3 is a schematic diagram of the measurement method of the present invention.
Reference numerals: 1. the base, 2, moment loading device, 201, load the guide rail, 202, the backing plate, 203, linear drive mechanism, 204, first connector, 205, elastic element, 206, second connector, 207, force transducer, 208, slip table, 209, the loading pole, 3, wait to detect angular contact ball bearing, 4, measuring device, 401, upper displacement sensor, 402, go up the sensor support, 403, go up the sensor guide rail, 404, lower displacement sensor, 405, lower sensor support, 406, lower sensor guide rail, 5, the main shaft subassembly, 501, the main shaft, 502, self-aligning bearing, 503, self-aligning bearing seat, 504, fixed guide rail.
Detailed Description
The invention is described in detail below by way of exemplary embodiments. It should be understood, however, that elements, structures and features of one embodiment may be beneficially incorporated in other embodiments without further recitation.
It should be noted that: unless defined otherwise, technical or scientific terms used herein shall have the ordinary meaning as understood by one of ordinary skill in the art to which this invention belongs. The use of the terms "a" and "an" or "the" and similar referents in the description and claims of the present invention are not to be construed as limiting in number, but rather as indicating the presence of at least one. The word "comprise" or "comprises", and the like, indicates that the element or item listed before "comprises" or "comprising" covers the element or item listed after "comprising" or "comprises" and its equivalents, but does not exclude other elements or items.
An angular contact ball bearing angular stiffness measuring device comprises a base 1, a bearing fixing device, a measuring device 4 and a bending moment loading device 3, wherein the bearing fixing device, the measuring device 4 and the bending moment loading device are arranged on the base 1;
the bearing fixing device comprises a main shaft assembly 5, and the inner ring and the outer ring of the angular contact ball bearing 3 to be detected are fixed through a main shaft 501 in the main shaft assembly 5 and a cylindrical hole arranged on the base 1;
the bending moment loading device 2 comprises a linear driving mechanism 203 and a loading rod 209, wherein the output end of the linear driving mechanism 203 is connected with the loading rod 209 through a transmission assembly, one end of the loading rod 209 is in contact with a main shaft 501 in a main shaft assembly and applies a radial loading force output by the linear driving mechanism to the main shaft, the bending moment loading device further comprises a force sensor 207 for measuring the radial loading force in real time, the force sensor can measure the radial loading force in real time, and a measured value of the radial loading force can be sent to a computer for processing on one hand and fed back to the bending moment loading device on the other hand, so that the radial loading force can be conveniently adjusted in real time;
the measuring device 4 comprises an upper displacement sensor 401 and a lower displacement sensor 404 which are distributed above and below the angular contact ball bearing 3 to be detected, and the detection ends of the upper displacement sensor 401 and the lower displacement sensor 404 are respectively used for detecting and feeding back the change value of the radial displacement of the main shaft 501 with the height corresponding to the change value.
The method for measuring the angular stiffness of the angular contact ball bearing by using the device comprises the following steps: s1, contacting the angle to be detectedBall bearing fixes through vertical setting main shaft and the cylinder hole of setting on the base, and fixed back distributes upper displacement sensor and lower displacement sensor's sense terminal in the top and the below of waiting to detect angular contact ball bearing, wherein sets for: the distance from the detection point of the upper displacement sensor to the radial central plane of the angular contact ball bearing to be detected is X1The distance between the detection point of the lower displacement sensor and the radial central plane of the angular contact ball bearing to be detected is X2；
S2, outputting a radial loading force to the spindle through the linear driving mechanism, wherein the distance from a force action point to a radial central plane of the angular contact ball bearing to be detected is X1After a certain radial loading force is output, the angular contact ball bearing generates a yaw angle along the axis direction, and the upper displacement sensor and the lower displacement sensor respectively obtain the variation value Y of the radial displacement of the main shaft1And Y2And according to the obtained parameter values and the radial loading force value detected by the force sensor, calculating the angular stiffness value of the angular contact ball bearing to be detected through a formula.
It should be noted that: when the upper displacement sensor and the lower displacement sensor are arranged, the upper displacement sensor and the lower displacement sensor can be distributed on the same side of the main shaft and arranged at a certain distance from the main shaft, and the equal distance between the upper displacement sensor and the main shaft and the equal distance between the lower displacement sensor and the main shaft are ensured.
In this embodiment, the spindle assembly 5 includes a spindle 501, a bearing assembly for mounting the spindle, and a fixed guide rail 504, where the spindle 501 is disposed on a slider in the fixed guide rail 504 through the bearing assembly, and the position of the spindle 501 can be adjusted through the slider. The bearing assembly comprises a self-aligning bearing 502 and a self-aligning bearing seat 503, and the main shaft is installed in the self-aligning bearing seat through the self-aligning bearing.
In the scheme, the bending moment loading device comprises a linear driving mechanism 203, a transmission assembly, a force sensor 207 and a loading rod 209, wherein the output end of the linear driving mechanism is connected with the loading rod sequentially through the transmission assembly, the force sensor and the loading rod; the linear driving mechanism is a servo electric cylinder, and the servo electric cylinder is arranged on the base through a base plate and a loading guide rail; the transmission assembly comprises a first connector 204, an elastic element 205 and a second connector 206, the output end of the linear driving mechanism is connected with a force sensor 207 sequentially through the first connector 204, the elastic element 205 and the second connector 206, and the radial loading force is transmitted to a loading rod 209; the first connector, the elastic element, the second connector and the force sensor are arranged on the base through the sliding table 208. The elastic element may be a spring.
In this embodiment, the measuring device 4 has an upper displacement sensor 401 disposed on the base 1 through an upper sensor holder 402 and an upper sensor guide 403, and a lower displacement sensor 404 disposed on the base through a lower sensor holder 405 and a lower sensor guide 406.
Examples 1,
For a better understanding of the present invention, the following detailed description of the components of the apparatus of the present invention is provided in conjunction with the accompanying drawings of FIGS. 1-3:
as shown in the figure, the angular contact ball bearing angular stiffness measuring device comprises a base 1, a bending moment loading device 2, an angular contact ball bearing 3, a measuring device 4 and a main shaft assembly 5.
The bending moment loading device 2, the angular contact ball bearing 3, the main shaft fixing device 5 and the measuring device 4 are arranged on the base 1. The bending moment loading device 2 includes a loading rail 201, a backing plate 202, a servo electric cylinder 203, a first connector 204, a spring 205, a second connector 206, a force sensor 207, a slide table 208, and a loading rod 209.
In the embodiment, the angular stiffness measuring device of the angular contact ball bearing applies a radial force to the main shaft 5 through the bending moment loading device 2, the radial force generates a bending moment relative to the angular contact ball bearing 3 to be detected, the loading is realized through the servo electric cylinder 203, a piston rod of the servo electric cylinder 203 is connected with the spring 205 through the first connector 204, and the spring 205 ensures that the applied radial force changes smoothly. The spring 205 is connected with the force sensor 207 through the second connector 206, the force sensor 207 can measure the magnitude of the radial loading force in real time, and the measured value of the radial loading force can be sent to a computer for processing in real time on one hand and can be fed back to the bending moment loading device 2 on the other hand, so that the magnitude of the radial loading force can be conveniently adjusted in real time. The loading rod 209 is externally threaded at one end to engage with a threaded hole in the force sensor 207, and the loading rod 209 is coupled to the spindle 501 to apply a radial force to the spindle 501. The first connector 204, the spring 205, the second connector 206 and the force sensor 207 are placed on the slide table 208, and can move back and forth.
It should be noted that: in order to facilitate the transmission of the radial loading force from the loading rod 209 to the spindle, a plane may be machined at the upper end of the spindle, so that the end of the loading rod abuts against the plane of the spindle.
The servo electric cylinder 203 is connected with the loading guide rail 201 through a base plate 202 in a sliding manner, and the loading guide rail 201 is fixed on the base 1 through bolts. Four strip holes are formed in the backing plate 202, and the servo electric cylinder 203 is fixed on the base 1 through bolts during measurement; and when the measurement is finished, the bolt is unscrewed, and the servo electric cylinder 203 can slide backwards in the elongated hole on the loading guide rail 201 without interfering the disassembly and assembly of the angular contact ball bearing 3 to be detected.
The measuring device 4 includes an upper sensor rail 403, a lower sensor rail 406, an upper sensor bracket 402, a lower sensor bracket 405, an upper displacement sensor 401, and a lower displacement sensor 404.
In the present embodiment, the upper displacement sensor 401 and the lower displacement sensor 404 are used to measure the change in the up-down radial displacement of the spindle 501, respectively. An upper displacement sensor 401 and a lower displacement sensor 404 are respectively placed on an upper sensor support 402 and a lower sensor support 405, the upper sensor support 402 and the lower sensor support 405 are respectively fixed on an upper sensor guide rail 403 slider and a lower sensor guide rail 406 slider through bolts, and the upper sensor guide rail 403 and the lower sensor guide rail 406 are respectively fixed on the base 1 through bolts. After the measurement is completed, the upper displacement sensor 401 and the lower displacement sensor 404 move rearward along with the upper sensor rail 403 and the lower sensor rail 406, respectively, and prevent interference with the mounting and dismounting of the angular ball bearing 3.
The spindle assembly 5 includes a spindle 501, a self-aligning bearing 502, a self-aligning bearing housing 503, and a fixed guide 504.
In this embodiment, the lower end of the main shaft 501 is supported by a self-aligning bearing 502, the outer ring of the self-aligning bearing 502 is fixed by a self-aligning bearing seat 503, the self-aligning bearing seat 503 is fixed together with a fixed guide 504 slider horizontally placed by a bolt, and the fixed guide 504 is fixed on the base 1. After radial force is applied, the main shaft 501 can generate deflection, the lower end of the main shaft 501 can slightly move along the fixed guide rail 504 together with the self-aligning bearing 502 and the self-aligning bearing seat 503, the deflection of the main shaft 501 is prevented from being influenced, and the accuracy of a measuring result is ensured.
The specific implementation process is as follows: sleeving the angular contact ball bearing 3 to be detected on the main shaft 501, fixing the outer ring of the angular contact ball bearing 3 in a cylindrical hole of the base, and controlling the servo electric cylinder to distance the main shaft 501 from a radial plane X after the angular contact ball bearing is fixed1The radial force F is applied, and the radial force F generates a bending moment M relative to the angular contact ball bearing 3 to be detected, so that the angular contact ball bearing 3 to be detected generates a yaw angle alpha along the axial direction. Finally, the angular stiffness value of the angular ball bearing 3 is calculated from the readings of the force sensor 208, the upper displacement sensor 401 and the lower displacement sensor 404.
The specific measurement method is as follows: as shown in fig. 3, the force sensor 208 measures the applied radial force F, the distance X of the point of action of the force from the radial center plane of the angular ball bearing 31The force F then generates a bending moment M ═ FX with respect to the angular contact ball bearing 31(ii) a Distance X between lower displacement sensor 404 and radial center plane of angular contact ball bearing 32The measured values of the upper displacement sensor 402 and the lower displacement sensor 404 are Y, respectively1And Y2Then, the yaw angle α of the spindle 501 can be calculated as follows:
the value K of the angular stiffness of the angular contact ball bearing 3 to be detected can be obtained by the above formula (1) and formula (2).
It should be noted that while the invention has been described in terms of the above-mentioned embodiments, other embodiments are also possible. It will be apparent to those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention, and it is intended that all such changes and modifications be covered by the appended claims and their equivalents.
Claims (10)
1. The angular contact ball bearing angular rigidity measuring device is characterized in that: the device comprises a base, and a bearing fixing device, a measuring device and a bending moment loading device which are arranged on the base;
the bearing fixing device comprises a main shaft assembly, and an inner ring and an outer ring of the angular contact ball bearing to be detected are fixed through a main shaft in the main shaft assembly and a cylindrical hole arranged on the base;
the bending moment loading device comprises a linear driving mechanism and a loading rod, wherein the output end of the linear driving mechanism is connected with the loading rod through a transmission assembly, one end of the loading rod is in contact with a main shaft in the main shaft assembly and applies radial loading force output by the linear driving mechanism to the main shaft, and the bending moment loading device also comprises a force sensor for measuring the magnitude of the radial loading force in real time;
the measuring device comprises an upper displacement sensor and a lower displacement sensor which are distributed above and below the angular contact ball bearing to be detected, and the detection ends of the upper displacement sensor and the lower displacement sensor are respectively used for detecting and feeding back the variation of the radial displacement of the main shaft with the corresponding height.
2. An angular contact ball bearing angular stiffness measuring device according to claim 1, characterized in that: the spindle assembly comprises a spindle, a bearing assembly for mounting the spindle and a fixed guide rail, wherein the spindle is arranged on a sliding block in the fixed guide rail through the bearing assembly.
3. An angular contact ball bearing angular stiffness measuring device according to claim 2, characterized in that: the bearing assembly is a self-aligning bearing and a self-aligning bearing seat, and the main shaft is installed in the self-aligning bearing seat through the self-aligning bearing.
4. An angular contact ball bearing angular stiffness measuring device according to claim 1 or 2, characterized in that: the bending moment loading device comprises a linear driving mechanism, a transmission assembly, a force sensor and a loading rod, wherein the output end of the linear driving mechanism is connected with the loading rod sequentially through the transmission assembly, the force sensor and the loading rod.
5. An angular contact ball bearing angular stiffness measuring device according to claim 4, characterized in that: the linear driving mechanism is a servo electric cylinder, and the servo electric cylinder is arranged on the base through a base plate and a loading guide rail.
6. An angular contact ball bearing angular stiffness measuring device according to claim 4, characterized in that: the transmission assembly comprises a first connector, an elastic element and a second connector, and the output end of the linear driving mechanism is connected with the force sensor sequentially through the first connector, the elastic element and the second connector and transmits radial loading force to the loading rod.
7. An angular contact ball bearing angular stiffness measuring device according to claim 6, characterized in that: the first connector, the elastic element, the second connector and the force sensor are arranged on the base through the sliding table.
8. An angular contact ball bearing angular stiffness measuring device according to claim 6 or 7, characterized in that: the elastic element is a spring.
9. An angular contact ball bearing angular stiffness measuring device according to claim 1, characterized in that: the measuring device is characterized in that the upper displacement sensor is arranged on the base through the upper sensor support and the upper sensor guide rail, and the lower displacement sensor is arranged on the base through the lower sensor support and the lower sensor guide rail.
10. The measurement method of the apparatus according to any one of claims 1 to 9, characterized in that: the method comprises the following steps:
s1, fixing the angular contact ball bearing to be detected by vertically arranging a main shaft and a cylindrical hole arranged on the base, and after fixing, distributing the detection ends of the upper displacement sensor and the lower displacement sensor above and below the angular contact ball bearing to be detected, wherein setting: the distance from the detection point of the upper displacement sensor to the radial central plane of the angular contact ball bearing to be detected isX1, the distance between the detection point of the lower displacement sensor and the radial central plane of the angular contact ball bearing to be detected isX2；
S2, outputting a radial loading force to the main shaft through the linear driving mechanism, wherein the distance from a force action point to a radial central plane of the angular contact ball bearing to be detected isXAfter a certain radial loading force is output, an angular contact ball bearing generates a deflection angle along the axis direction, and an upper displacement sensor and a lower displacement sensor respectively obtain the change value of the radial displacement of a main shaft asY1 andY2and according to the obtained parameter values and the radial loading force value detected by the force sensor, calculating the angular stiffness value of the angular contact ball bearing to be detected through a formula.
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| CN202110034359.0A CN112880947A (en) | 2021-01-12 | 2021-01-12 | Angular contact ball bearing angular stiffness measuring device and measuring method |
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102331349A (en) * | 2011-06-17 | 2012-01-25 | 武汉理工大学 | Permanent magnetic bearing rigidity measuring device |
| CN103712791A (en) * | 2013-11-12 | 2014-04-09 | 西安交通大学 | Main shaft axial dynamic stiffness test device |
| CN209247353U (en) * | 2018-12-26 | 2019-08-13 | 福建农林大学 | The angular rigidity measurement experiment platform of angular contact ball bearing |
-
2021
- 2021-01-12 CN CN202110034359.0A patent/CN112880947A/en active Pending
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102331349A (en) * | 2011-06-17 | 2012-01-25 | 武汉理工大学 | Permanent magnetic bearing rigidity measuring device |
| CN103712791A (en) * | 2013-11-12 | 2014-04-09 | 西安交通大学 | Main shaft axial dynamic stiffness test device |
| CN209247353U (en) * | 2018-12-26 | 2019-08-13 | 福建农林大学 | The angular rigidity measurement experiment platform of angular contact ball bearing |
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