CN115139158A - Roller shaping method for double-row self-aligning spherical roller bearing - Google Patents
Roller shaping method for double-row self-aligning spherical roller bearing Download PDFInfo
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- CN115139158A CN115139158A CN202210707813.9A CN202210707813A CN115139158A CN 115139158 A CN115139158 A CN 115139158A CN 202210707813 A CN202210707813 A CN 202210707813A CN 115139158 A CN115139158 A CN 115139158A
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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
Abstract
The invention discloses a roller profile modification method for a double-row self-aligning spherical roller bearing, which comprises the steps of establishing a logarithmic curve function of a spherical roller and establishing a roller generatrix 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 generatrix function of the roller, thereby obtaining the input function of the modified grinding wheel, inputting the data of the input function of the grinding wheel into the program of the numerical control machine tool, modifying the outer diameter surface of the roller by utilizing the plunge grinding mode after the grinding wheel is modified, realizing the modification processing of the spherical roller, being beneficial to reducing the problem of concentrated contact stress when two ends of the roller are used, and prolonging the service life of the roller.
Description
Technical Field
The invention belongs to the technical field of roller profile modification, and particularly relates to a roller profile modification method for a double-row self-aligning spherical roller bearing.
Background
At present, in the bearing manufacturing industry, the modified roller bearing gradually replaces the traditional straight bus roller bearing in a plurality of important fields. Early contact fatigue pitting between the rolling elements and raceways of conventional straight generatrix roller bearings often occurs in the areas of the rollers or raceways near the roller ends because of the boundary stress concentrations at the ends of the rolling elements after loading of the straight generatrix roller bearings, i.e., "edge effects". The occurrence of "edge effects" greatly reduces the fatigue life of the bearing, since studies have shown that the life of a bearing is inversely proportional to the 7 th power of stress. To overcome this "edge effect", a number of theoretical analyses and experimental studies have been performed. Lundberg proposed the basic theory of bus modification as early as the 30 s in the nineteenth century, and SKF bearing companies developed the modification technology of roller bearings further until the 60 s in the twentieth century. The special roller outline curved surface can avoid or reduce the boundary stress concentration caused by the contact of the rolling body and the inner and outer rings, and at present, the modification curves adopted in the engineering mainly comprise: a circular arc curve; adding arcs at two ends of the straight line, namely, the middle part of a roller bus is a straight line, and the two ends are modified arcs; logarithmic curves, etc. Among them, the logarithmic curve modification is recognized as the optimum modification curve.
At present, the logarithmic curve modification mode is widely applied to cylindrical rollers and tapered rollers, but the application is very small for spherical rollers. The double-row self-aligning roller bearing is a bearing assembled with drum-shaped rollers (also called spherical rollers) between an inner ring with two raceways and an outer ring with the raceways being spherical surfaces. Although the outer diameter of the spherical roller is convex relative to the cylindrical and tapered rollers, the raceway surface of the roller is also spherical, 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 modification, in addition, in the design stage, in order to realize the normal rolling and bearing aligning functions of the roller, the radius size of the outer spherical surface of the roller is slightly smaller than that of the raceway surface, under the actual working condition, due to the normal abrasion of the roller, the radius size of the outer spherical surface of the roller can be gradually close to that of the raceway surface, and under the condition that the radius sizes of the two are infinitely close, the stress concentration problem at two ends of the roller is intensified, so that the roller is fatigued and loses efficacy, and the normal use of the bearing is further influenced. Although the existing enterprises also have a certain modification method for spherical rollers, the modification method is irregular and unscientific, so that the roller is not ideal in use. Therefore, a roller modification method for a double-row self-aligning spherical roller bearing is needed to solve the above problems.
Disclosure of Invention
The invention aims to solve the technical problems and provides a roller shaping method for a double-row self-aligning spherical roller bearing, which adopts a superposition method to superpose a logarithmic curve function of roller shaping and a generatrix function of a roller so as to obtain an input function of a shaping grinding wheel, inputs the data of the input function of the grinding wheel into a program of a numerical control machine tool, shapes the outer diameter surface of the roller by utilizing a cutting-in grinding mode after the grinding wheel is shaped, realizes the shaping processing of the spherical roller, is favorable for reducing the problem of concentrated contact stress of two ends of the roller when in use, and prolongs the service life of the roller.
The technical scheme adopted by the invention is as follows: a roller profile modification method for a double-row self-aligning spherical roller bearing comprises the steps of establishing a spherical roller logarithmic curve function and a roller generatrix 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 as follows:
in the above formula, k represents a modification parameter, l we Representing the effective length of the spherical roller, d we Representing the maximum diameter of the spherical roller, x representing the coordinate value of the roller with one end of the contact line of the roller as the origin and the straight line connecting the two end points of the contact line as the length direction, and Y x1 、Y x2 Representing the radial coordinate value corresponding to the x coordinate;
step two, a roller bus function equation is as follows:
in the formula (3), r represents the radius of a spherical roller generatrix, l we Represents the effective length of the spherical roller;
step three, superposing the logarithmic curve function of the spherical roller and the roller bus function to obtain:
and step four, inputting the parameters in the formulas (4) and (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and shaping the outer diameter surface of the roller after the grinding wheel is trimmed.
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 method adopts a superposition method to superpose the logarithmic curve function of the roller modification and the generatrix function of the roller, thereby obtaining the input function of the modified grinding wheel, inputting the data of the input function of the grinding wheel into the program of a numerical control machine tool, modifying the outer diameter surface of the roller by utilizing the way of cutting-in grinding after the grinding wheel is modified, realizing the modification processing of the spherical roller, being beneficial to reducing the problem of concentrated contact stress when two ends of the roller are used, 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 curved profile view of a roller bus bar of the present invention;
FIG. 3 is a schematic diagram of a spherical roller coordinate system according to the present invention.
Detailed Description
The following detailed description of embodiments of the invention is provided in connection with the accompanying drawings.
As shown in the figure, the roller modification method for the double-row self-aligning spherical roller bearing comprises the steps of establishing a logarithmic curve function of a spherical roller and a roller generatrix 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 as follows:
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 (ii) a k represents a modification parameter, /) we Representing the effective length of the spherical roller, d we Representing the maximum diameter of the spherical roller, x representing the coordinate value of the roller with one end of the contact line of the roller as the origin and the straight line connecting the two end points of the contact line as the length direction, and Y x1 、Y x2 Representing the radial coordinate value corresponding to the x coordinate;
as shown in fig. 1, equation (1) represents the arc-shaped contour at the left side of the midpoint of the contour line, equation (2) represents the arc-shaped contour at the right side of the midpoint of the contour line, and the abscissa unit is mm and the ordinate unit is μm.
Step two roller bus the function equation is:
in the formula (3), r represents the radius of the spherical roller generatrix, l we Represents the effective length of the spherical roller;
wherein, Y x3 Representing the roller generatrix profile, this equation is based on the Pythagorean theorem to produce a functional curve of the roller generatrix, as shown in FIG. 2.
Step three, superposing the logarithmic curve function of the spherical roller and the roller bus function to obtain:
wherein the value range of x in the formula (4) is 0-l we The value range of x in the formula (4) is l we /2～l we (ii) a A comprehensive function is obtained through the logarithmic curve function and the roller bus function, and when the profile is modified, the spherical roller bus contour after the profile modification can be obtained on the basis of the comprehensive function.
And step four, inputting the parameters in the formulas (4) and (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and after the grinding wheel is trimmed, then trimming the outer diameter surface of the roller.
Claims (3)
1. A roller shaping method for a double-row self-aligning spherical roller bearing is characterized by comprising the following steps: establishing a logarithmic curve function of the spherical roller and a generatrix function equation of the roller according to a contact mechanics principle;
step one, establishing a logarithmic curve function equation of the spherical roller according to a contact mechanics principle as follows:
in the above formula, k represents a modification parameter, l we Representing the effective length of the spherical roller, d we Representing the maximum diameter of the spherical roller, x representing the coordinate value with one end of the roller contact line as the origin and the straight line connecting the two end points of the contact line as the length direction, and Y x1 、Y x2 Representing the radial coordinate value corresponding to the x coordinate;
step two, a roller bus function equation is as follows:
in the formula (3), r represents the radius of a spherical roller generatrix, l we Represents the effective length of the spherical roller;
step three, superposing the logarithmic curve function of the spherical roller and the roller bus function to obtain:
and step four, inputting the parameters in the formulas (4) and (5) into a numerical control machine tool program by adopting a cutting-in grinding mode, and shaping the outer diameter surface of the roller after the grinding wheel is trimmed.
2. The roller modification method for the double-row self-aligning spherical roller bearing according to claim 1, wherein: in the formulas (1) and (4), the value range of x is 0 to l we /2。
3. The roller modification method for the double-row self-aligning spherical roller bearing according to claim 1, wherein: formula (2)In the formula (5), the value range of x is l we /2～l we 。
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| Application Number | Priority Date | Filing Date | Title |
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| CN202210707813.9A CN115139158B (en) | 2022-06-22 | 2022-06-22 | Roller repairing method for double-row aligning spherical roller bearing |
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| CN202210707813.9A CN115139158B (en) | 2022-06-22 | 2022-06-22 | Roller repairing method for double-row aligning spherical roller bearing |
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| CN115139158B CN115139158B (en) | 2023-10-10 |
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| US4198790A (en) * | 1979-01-11 | 1980-04-22 | Cincinnati Milacron Inc. | Method for finishing spherical rollers |
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2022
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