CN115139158B - Roller repairing method for double-row aligning spherical roller bearing - Google Patents
Roller repairing method for double-row aligning spherical roller bearing Download PDFInfo
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- CN115139158B CN115139158B CN202210707813.9A CN202210707813A CN115139158B CN 115139158 B CN115139158 B CN 115139158B CN 202210707813 A CN202210707813 A CN 202210707813A CN 115139158 B CN115139158 B CN 115139158B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B1/00—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B5/00—Machines or devices designed for grinding surfaces of revolution on work, including those which also grind adjacent plane surfaces; Accessories therefor
- B24B5/02—Machines or devices designed for grinding surfaces of revolution on work, including those which also grind adjacent plane surfaces; Accessories therefor involving centres or chucks for holding work
- B24B5/04—Machines or devices designed for grinding surfaces of revolution on work, including those which also grind adjacent plane surfaces; Accessories therefor involving centres or chucks for holding work for grinding cylindrical surfaces externally
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B53/00—Devices or means for dressing or conditioning abrasive surfaces
- B24B53/06—Devices or means for dressing or conditioning abrasive surfaces of profiled abrasive wheels
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/15—Correlation function computation including computation of convolution operations
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- Pure & Applied Mathematics (AREA)
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- Algebra (AREA)
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- General Engineering & Computer Science (AREA)
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- Computing Systems (AREA)
- Rolling Contact Bearings (AREA)
Abstract
The invention discloses a roller modification method for a double-row aligning spherical roller bearing, which comprises the steps of establishing a spherical roller logarithmic curve function and a roller bus function equation according to a contact mechanics principle; the invention adopts a superposition method to superpose the logarithmic curve function of the roller modification and the bus function of the roller, thereby obtaining the input function of the modification grinding wheel, inputting the data of the grinding wheel input function into the program of the numerical control machine tool, modifying the outer diameter surface of the roller by utilizing a cutting-in grinding mode after the grinding wheel is modified, realizing the modification processing of the spherical roller, being beneficial to reducing the problem of contact stress concentration at two ends of the roller when in use and prolonging the service life of the roller.
Description
Technical Field
The invention belongs to the technical field of roller modification, and particularly relates to a roller modification method for a double-row aligning spherical roller bearing.
Background
Currently, in the bearing manufacturing industry, repair type roller bearings are gradually replacing traditional straight busbar roller bearings in a plurality of important fields. Early contact fatigue pitting between the rolling elements and the raceways of conventional straight-bar roller bearings often occurs on the rollers or raceways in areas near the ends of the rollers because of boundary stress concentrations, i.e. "edge effects", at both ends of the rolling elements after loading of the straight-bar roller bearing. The occurrence of "edge effects" greatly reduces the fatigue life of the bearing, as studies have shown that the life of the bearing is inversely proportional to the 7 th power of the stress. To overcome this "edge effect" a great deal of theoretical analysis and experimental investigation has been performed. The basic theory of busbar modification was proposed as early as the last 30 th nineteenth century, lundberg, until SKF bearing corporation of 60 twentieth century further developed the roller bearing modification technology. Boundary stress concentration caused by contact between the rolling bodies and the inner ring and the outer ring can be avoided or reduced by using a special roller profile curved surface, and at present, the modified curve adopted in the engineering mainly comprises the following components: arc curves; arc is added at two ends of the straight line, namely the middle part of the roller bus is a straight line, and the two ends are repair-type arc; logarithmic curve, etc. Among them, logarithmic curve modification is recognized as an optimal modification curve.
At present, logarithmic curve modification is widely applied to cylindrical rollers and tapered rollers, but is rarely applied to spherical rollers. The double-row self-aligning roller bearing is a bearing in which drum-shaped rollers (also called spherical rollers) are assembled between an inner ring with two roller paths and an outer ring with the roller paths being spherical surfaces. The spherical roller is convex relative to the cylindrical and tapered roller, but the raceway surface of the roller is also spherical, and when the roller is installed in the raceway to work, stress concentration can be generated at two ends of the roller under the condition of no repair. Although the existing enterprises also have a certain modification method for the spherical roller, the modification method is irregular and unscientific, so that the roller is not ideal in use. Therefore, there is a need for a roller profiling method for a double row self-aligning spherical roller bearing to solve the above-mentioned problems.
Disclosure of Invention
In order to solve the technical problems, the invention provides a roller shaping method for a double-row aligning spherical roller bearing, which adopts a superposition method to superpose a logarithmic curve function of roller shaping and a bus function of the roller, thereby obtaining an input function of a shaping grinding wheel, inputting data of the input function of the grinding wheel into a program of a numerical control machine tool, shaping the outer diameter surface of the roller by utilizing a cutting-in grinding mode after the grinding wheel is shaped, realizing the shaping processing of the spherical roller, being beneficial to reducing the problem of concentrated contact stress of two ends of the roller when in use and prolonging the service life of the roller.
The technical scheme adopted by the invention is as follows: a roller shaping method for a double-row aligning spherical roller bearing comprises the steps of establishing a spherical roller logarithmic curve function and a roller bus function equation according to a contact mechanics principle;
step one, establishing a logarithmic curve function equation of the spherical roller according to a contact mechanics principle, wherein the logarithmic curve function equation is as follows:
（1）；
（2）；
in the above formula, k represents a modification parameter, l we Represents the effective length of the spherical roller, d we Represents the maximum diameter of the spherical roller, x represents the coordinate value in the length direction by taking one end of the contact line of the roller as the origin and taking the straight line connecting the two end points along the contact line as the length direction, Y x1 、Y x2 Representing a radial coordinate value corresponding to the x coordinate;
step two, a roller bus function equation is as follows:
（3）；
in the formula (3), r represents the radius of a spherical roller busbar, and l we Representing the effective length of the spherical roller;
step three, superposing a spherical roller logarithmic curve function and a roller bus function to obtain:
（4）；
（5）；
and fourthly, inputting parameters in the formula (4) and the formula (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and carrying out profile modification on the outer diameter surface of the roller after finishing the grinding wheel.
In the formulas (1) and (4), the value range of x is 0-l we /2。
In the formulas (2) and (5), the value range of x is l we /2～l we 。
The beneficial effects of the invention are as follows:
the invention adopts a superposition method to superpose the logarithmic curve function of the roller modification and the bus function of the roller, thereby obtaining the input function of the modification grinding wheel, inputting the data of the grinding wheel input function into the program of the numerical control machine tool, modifying the outer diameter surface of the roller by utilizing a cutting-in grinding mode after the grinding wheel is modified, realizing the modification processing of the spherical roller, being beneficial to reducing the problem of contact stress concentration at two ends of the roller when in use and prolonging the service life of the roller.
Drawings
FIG. 1 is a standard logarithmic curve profile of the present invention;
FIG. 2 is a roller busbar profile of the present invention;
fig. 3 is a schematic view of the spherical roller coordinate system of the present invention.
Detailed Description
The following describes the embodiments of the present invention in further detail with reference to the drawings.
As shown in the figure, the roller modification method for the double-row aligning spherical roller bearing comprises the steps of establishing a spherical roller logarithmic curve function and a roller bus function equation according to a contact mechanics principle;
step one, establishing a logarithmic curve function equation of the spherical roller according to a contact mechanics principle, wherein the logarithmic curve function equation is as follows:
（1）；
（2）；
in the formula (1), the value of x is in the range of 0 to l we In the formula (2), the value range of x is l we /2～l we The method comprises the steps of carrying out a first treatment on the surface of the k represents a modification parameter, l we Represents the effective length of the spherical roller, d we Represents the maximum diameter of the spherical roller, x represents the coordinate value in the length direction by taking one end of the contact line of the roller as the origin and taking the straight line connecting the two end points along the contact line as the length direction, Y x1 、Y x2 Representing a radial coordinate value corresponding to the x coordinate;
as shown in fig. 1, equation (1) represents an arc profile on the left side of the midpoint of the profile, equation (2) represents an arc profile on the right side of the midpoint of the profile, and the abscissa unit is mm and the ordinate unit is μm.
Step two, a roller bus function equation is as follows:
（3）；
in the formula (3), r represents the radius of a spherical roller busbar, and l we Representing the effective length of the spherical roller;
wherein Y is x3 Representing the contour of the roller bus, as shown in FIG. 2, based on Pythagorean's theorem, deriving the roller busA function curve.
Step three, superposing a spherical roller logarithmic curve function and a roller bus function to obtain:
（4）；
（5）；
wherein the value of x in the formula (4) ranges from 0 to l we And/2, wherein x in formula (4) has a value in the range of l we /2～l we The method comprises the steps of carrying out a first treatment on the surface of the The logarithmic curve function and the roller bus function are used for obtaining the comprehensive function, and the spherical roller bus profile after modification can be obtained based on the comprehensive function during modification.
And fourthly, inputting parameters in the formula (4) and the formula (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and carrying out profile modification on the outer diameter surface of the roller after finishing the grinding wheel.
Claims (3)
1. A roller shaping method for a double-row aligning spherical roller bearing is characterized by comprising the following steps of: establishing a spherical roller logarithmic curve function and a roller busbar function equation according to a contact mechanics principle;
step one, establishing a logarithmic curve function equation of the spherical roller according to a contact mechanics principle, wherein the logarithmic curve function equation is as follows:
（1）；
（2）；
in the above formula, k represents a modification parameter, l we Represents the effective length of the spherical roller, d we Represents the maximum diameter of the spherical roller, and x representsOne end of the contact line of the roller is an origin, a straight line connecting two end points of the contact line is a coordinate value in the length direction, Y x1 、Y x2 Representing a radial coordinate value corresponding to the x coordinate;
step two, a roller bus function equation is as follows:
（3）；
in the formula (3), r represents the radius of a spherical roller busbar, and l we Representing the effective length of the spherical roller;
step three, superposing a spherical roller logarithmic curve function and a roller bus function to obtain:
（4）；
（5）；
and fourthly, inputting parameters in the formula (4) and the formula (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and carrying out profile modification on the outer diameter surface of the roller after finishing the grinding wheel.
2. A roller modification method for a double row aligning spherical roller bearing according to claim 1, characterized by: in the formulas (1) and (4), the value range of x is 0-l we /2。
3. A roller modification method for a double row aligning spherical roller bearing according to claim 1, characterized by: in the formulas (2) and (5), the value range of x is l we /2～l we 。
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210707813.9A CN115139158B (en) | 2022-06-22 | 2022-06-22 | Roller repairing method for double-row aligning spherical roller bearing |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210707813.9A CN115139158B (en) | 2022-06-22 | 2022-06-22 | Roller repairing method for double-row aligning spherical roller bearing |
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|---|---|
| CN115139158A CN115139158A (en) | 2022-10-04 |
| CN115139158B true CN115139158B (en) | 2023-10-10 |
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| CN202210707813.9A Active CN115139158B (en) | 2022-06-22 | 2022-06-22 | Roller repairing method for double-row aligning spherical roller bearing |
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Citations (12)
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|---|---|---|---|---|
| US4198790A (en) * | 1979-01-11 | 1980-04-22 | Cincinnati Milacron Inc. | Method for finishing spherical rollers |
| CN101371056A (en) * | 2005-12-21 | 2009-02-18 | 谢夫勒两合公司 | Rolling bearing |
| CN103810354A (en) * | 2014-03-11 | 2014-05-21 | 大连交通大学 | Optimal design method for logarithm shaping curve of cylindrical roller bearing |
| CN104636596A (en) * | 2014-12-26 | 2015-05-20 | 中国北方车辆研究所 | Cylindrical roller bearing asymmetric shape correction method under specific loads |
| CN105678009A (en) * | 2016-01-19 | 2016-06-15 | 河南科技大学 | Convexity analysis method based on tapered roller inclined penetration type ultrafinishing |
| CN108846249A (en) * | 2018-08-29 | 2018-11-20 | 中国航发哈尔滨轴承有限公司 | A kind of design method of cylindrical roller under the operating condition towards high-speed overload |
| CN109746833A (en) * | 2019-02-21 | 2019-05-14 | 上海理工大学 | The calculation method of spherical base surface of tapered roller grinding force |
| CN110502765A (en) * | 2018-05-17 | 2019-11-26 | 河南科技大学 | A kind of correction method and roller bearing of tapered roller bearing |
| CN110765617A (en) * | 2019-10-25 | 2020-02-07 | 常州市乾憬轴承科技有限公司 | Lubrication theory-based cylindrical roller bearing roller logarithmic modification design method |
| CN111291455A (en) * | 2020-03-10 | 2020-06-16 | 洛阳Lyc轴承有限公司 | Shape modification design method of self-aligning bearing roller for wind power equipment |
| CN111475895A (en) * | 2020-04-10 | 2020-07-31 | 洛阳Lyc轴承有限公司 | End arc shape-modifying method of spherical roller |
| CN114139320A (en) * | 2021-12-13 | 2022-03-04 | 洛阳新强联回转支承股份有限公司 | Roller design method for three-row cylindrical roller bearing |
Family Cites Families (1)
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| JP5334665B2 (en) * | 2009-04-24 | 2013-11-06 | Ｎｔｎ株式会社 | Tapered roller bearing and design method thereof |
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2022
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| CN104636596A (en) * | 2014-12-26 | 2015-05-20 | 中国北方车辆研究所 | Cylindrical roller bearing asymmetric shape correction method under specific loads |
| CN105678009A (en) * | 2016-01-19 | 2016-06-15 | 河南科技大学 | Convexity analysis method based on tapered roller inclined penetration type ultrafinishing |
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| CN111291455A (en) * | 2020-03-10 | 2020-06-16 | 洛阳Lyc轴承有限公司 | Shape modification design method of self-aligning bearing roller for wind power equipment |
| CN111475895A (en) * | 2020-04-10 | 2020-07-31 | 洛阳Lyc轴承有限公司 | End arc shape-modifying method of spherical roller |
| CN114139320A (en) * | 2021-12-13 | 2022-03-04 | 洛阳新强联回转支承股份有限公司 | Roller design method for three-row cylindrical roller bearing |
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