CN110502765B - Tapered roller bearing and shape modification method thereof - Google Patents
Tapered roller bearing and shape modification method thereof Download PDFInfo
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Abstract
The invention relates to the technical field of bearing application, in particular to a shape modification method of a tapered roller bearing and the roller bearing, wherein the roller bearing is obtained by a shape modification method through shape modification, the shape modification method utilizes a logarithmic curve to modify a part which takes a contact point of a roller and a raceway as an original point and extends for a set length along the length direction of a contact line, a quadratic polynomial curve is utilized to modify the shape of the rest part outside the extended set length, the roller bearing is simulated and calculated through physical simulation to determine the optimal parameters of the quadratic polynomial equation, the shape modification is carried out on the bearing according to the shape modification curve equation corresponding to the optimal parameters, the shape modification of the tapered roller bearing is realized, the over concentration of the contact stress of the end part when the bearing is in unbalance loading is prevented, and the problem that the service life of the bearing is limited due to the concentration of the contact stress of one end of the existing logarithmic shape modification tapered roller bearing in the serious unbalance loading condition is solved.
Description
Technical Field
The invention relates to the technical field of bearing application, in particular to a shape modification method of a tapered roller bearing and the roller bearing.
Background
Modified roller bearings are replacing traditional straight generatrix roller bearings in a number of important areas, where early contact fatigue pitting between the rolling elements and raceways of traditional straight generatrix roller bearings often occurs in the areas of the rollers or raceways near the ends of the rollers, because of the boundary stress concentrations, i.e. "edge effect", at the two ends of the rolling elements after loading of the straight generatrix roller bearings. Research shows that the service life of the bearing is inversely proportional to the 7 th power of stress, the fatigue life of the bearing is greatly reduced due to the generation of the 'edge effect', and a large number of theoretical analysis and experimental researches are carried out to overcome the 'edge effect'. Lundberg proposed the basic theory of bus modification as early as the end of the nineteenth century 30, and SKF bearing companies developed further the modification technology of roller bearings until the 60 th century, and edge stress concentration caused by contact between the rolling elements and the inner and outer races could be avoided or reduced by using special roller contour curves.
At present, the shape correction curves adopted in engineering mainly include: a circular arc curve, a straight line plus a circular arc (the middle part of a roller bus is a straight line, and the two ends of the roller bus are circular arcs) and a logarithmic curve. The patent document with the publication number of CN103810354B discloses an optimal design method for a logarithmic modification curve of a cylindrical roller bearing, which firstly simplifies and deforms a logarithmic modification curve equation, processes the simplified and deformed logarithmic modification curve equation, converts the optimal design into an optimal problem for one parameter in the simplified and deformed logarithmic modification curve equation, and obtains an optimal modification curve, while the conical roller bearing is modified through the logarithmic curve, although the middle part is relatively smooth, the curvature of the end part is greatly increased, and a phenomenon of one-end contact stress concentration still occurs for the conical roller bearing under the condition of severe unbalance loading, so that the problem of stress concentration of the conical roller bearing cannot be completely solved by pure logarithmic modification, and the bearing capacity and the service life of the bearing are limited.
Disclosure of Invention
The invention aims to provide a tapered roller bearing and a shape modification method thereof, which are used for solving the problem that the service life of the bearing is limited due to the concentration of contact stress at one end of the conventional logarithmic shape-modified tapered roller bearing under the condition of serious unbalance loading.
In order to realize the shape modification of the tapered roller bearing, prevent the excessive concentration of end contact stress when the bearing is in an unbalanced load condition and solve the problem that the service life of the bearing is limited due to the concentration of one end contact stress of the conventional logarithmic shape-modified tapered roller bearing under the severe unbalanced load condition, the invention provides a shape modification method of the tapered roller bearing.
Further, the shape modification curve equation of the superposition of the logarithmic curve and the quadratic polynomial curve is as follows:
wherein, x is a coordinate value along the length direction of the contact line with the contact point of the roller and the raceway as the origin, y is a radial coordinate value corresponding to the abscissa x, and L we Is roller contact effective length, L' we For the effective length of logarithmic modification, i.e. the set length, r is the radius of the roller chamfer, P is the contact full load, gamma 1 And gamma 2 Poisson's ratio, E, of contact element 1 and contact element 2, respectively 1 And E 2 The modulus of elasticity of the contact element 1 and the contact element 2, respectively, and a, b, c are parameters of a quadratic polynomial equation, respectively.
Further, according to a logarithmic curve equation and a quadratic polynomial equation, at an offset load stress mutation coordinate point (x) 0 ,y 0 ) The slope of the curve is the same as the curve value, and the parameter relation of the quadratic polynomial equation is obtained as follows:
wherein the content of the first and second substances,
further, the optimization design problem of the modification curve is converted into optimization of a plurality of parameters in a modification curve equation, the change relation between the quadratic polynomial parameter and the contact stress distribution rule curve is obtained through physical simulation, the optimal parameter corresponding to the modified element is obtained through comparison, and the modification curve corresponding to the optimal parameter is the optimal modification curve.
In order to realize a roller bearing with the end part contact stress not too concentrated during the unbalance loading and solve the problem that the service life of the bearing is limited due to the concentration of the contact stress at one end of the tapered roller bearing obtained by the conventional logarithmic modification under the condition of serious unbalance loading, the invention provides the roller bearing, wherein the part of the bearing, which extends for a set length along the length direction of a contact line and takes the contact point of a roller and a raceway as the origin, is modified by a logarithmic curve, and the rest part of the bearing, which extends for the set length, is modified by a quadratic polynomial curve.
Further, in the modification of the bearing, the modification curve equation of the superposition of the logarithmic curve and the quadratic polynomial curve is as follows:
wherein, x is a coordinate value along the length direction of the contact line with the contact point of the roller and the raceway as the origin, y is a radial coordinate value corresponding to the abscissa x, and L we Is roller contact effective length, L' we For the effective length of logarithmic modification, i.e. the set length, r is the roller chamfer radius, P is the contact full load, γ 1 And gamma 2 Poisson's ratio, E, of contact element 1 and contact element 2, respectively 1 And E 2 The modulus of elasticity of the contact element 1 and the contact element 2, respectively, and a, b, c are parameters of a quadratic polynomial equation, respectively.
Further, in the modification of the bearing, the load offset stress abrupt change coordinate point (x) is obtained according to a logarithmic curve equation and a quadratic polynomial equation 0 ,y 0 ) The slope of the curve is the same as the curve value, and the parameter relation of the quadratic polynomial equation is obtained as follows:
wherein the content of the first and second substances,
further, in the bearing modification, the optimization design problem of the modification curve is converted into optimization of a plurality of parameters in a modification curve equation, the change relation between the quadratic polynomial parameter and the contact stress distribution rule curve is obtained through physical simulation, the optimal parameter corresponding to the modified element is obtained through comparison, and the modification curve corresponding to the optimal parameter is the optimal modification curve.
Drawings
FIG. 1 is a graph comparing trends of roller trends along with roller bus length in logarithmic modification curves and logarithmic addition polynomial modification curves;
FIG. 2 is a trend graph of inner ring contact stress of an unmodified roller bus bearing at different roller position angles along with the variation of the roller bus;
FIG. 3 is a graph showing the trend of the outer ring contact stress of an unmodified roller bus bearing at different roller position angles along with the change of the roller bus;
FIG. 4 is a graph showing the variation trend of the inner ring contact stress of the bearing after logarithmic modification at different roller position angles along with the roller generatrix;
FIG. 5 is a graph showing the trend of outer ring contact stress at different roller position angles of a bearing subjected to logarithmic modification along with the change of roller generatrices;
FIG. 6 is a graph showing the trend of the contact stress of the inner ring of the bearing after the logarithmic addition polynomial modification at different roller position angles along with the change of the roller generatrix;
FIG. 7 is a graph showing the trend of the outer ring contact stress of the bearing subjected to logarithmic addition polynomial modification at different roller position angles along with the change of roller generatrices.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
The invention provides a roller bearing obtained by modifying a shape by a modification method, which modifies a part extending for a set length along a length direction of a contact line by using a logarithmic curve with a contact point of a roller and a raceway as an origin, and modifies the remaining part extending for the set length by using a quadratic polynomial curve.
Firstly, a shape modification curve equation of the roller bearing is constructed, and the shape modification curve equation comprises a logarithmic curve equation and a quadratic polynomial equation.
The modification mode that the middle part is logarithmic modification and the two ends are polynomials is called logarithmic-polynomial modification, wherein the modification curve equation is as follows:
wherein x is a coordinate value in the length direction of the contact line with the contact point of the roller and the raceway as the origin, y is a radial coordinate value corresponding to the abscissa x, and L is we Is roller contact effective length, L' we The effective length of the logarithmic modification is the set length, r is the radius of the roller chamfer, P is the contact full load, gamma 1 And gamma 2 Poisson's ratio, E, of contact element 1 and contact element 2, respectively 1 And E 2 The modulus of elasticity of the contact element 1 and the contact element 2, respectively, and a, b, c are the parameters of a quadratic polynomial equation, respectively. Wherein, the set length is the length from the origin to the bearing offset load stress catastrophe point.
And then acquiring node coordinates of the roller bearing offset load stress mutation, and calculating to obtain each parameter relation of a quadratic polynomial equation according to the relation that the numerical value and the slope of the logarithmic curve equation at the node coordinates are equal to the numerical value and the slope of the quadratic polynomial equation at the node coordinates.
Let the coordinates (x) of two curves at the node 0 ,y 0 ) And smooth connection is needed, the slope of the two curves is ensured to be the same, and the values of the two curves are equal, namely:
the parameters are obtained in a simultaneous manner and have the following relation:
wherein the content of the first and second substances,
the optimization design problem of the modification curve can be converted into a plurality of parameter optimization problems of quadratic polynomials in a modification curve equation by obtaining the parameter relations.
And carrying out simulation calculation on the roller bearing through physical simulation to determine the optimal parameters of a quadratic polynomial equation, and carrying out shape modification on the bearing according to a shape modification curve equation corresponding to the optimal parameters.
The contact stress distribution rule curve graph obtained by applying a physical simulation method is compared with the contact stress distribution rule curve graph through calculation analysis of a plurality of groups of modification curve equations, and each parameter in the modification curve equations is optimized, so that the optimal modification curve corresponding to the load and the geometric shape of the modified element is obtained.
Taking the shape modification design of the double-row tapered roller bearing as an example, the basic parameters of the bearing are as follows: the bearing radial load is 92.5KN, the axial load is 16.8KN, the inner diameter of the bearing inner ring is 130mm, the outer diameter of the outer ring is 240mm, the width of the single-row inner ring is 80mm, the width of the single-row outer ring is 165mm, the number of single-row rollers is 19, the diameter of the large end of each roller is 27.11mm, the taper angle of each roller is 2 degrees 27', the length of each roller is 53mm, and the effective contact length is 49.371mm.
Obtaining the optimal parameters of a quadratic polynomial equation in the log-plus polynomial modification through the optimization of a RomaxDesigner platform, wherein the corresponding log-modification equation is as follows:
the sum-log-plus-polynomial modification equation is:
as shown in FIG. 1, it is a comparison graph of the trend of the two profile curve rollers along with the variation of the roller generatrix length, and it can be seen from the graph that the curvatures at the two ends of the logarithmic-plus-polynomial profile curve are obviously smaller than the slopes at the two ends of the logarithmic curve.
According to the actual logarithmic modification equation and the logarithmic polynomial modification equation, as shown in fig. 2, the trend of the contact stress of the inner ring of the bearing with the roller bus at the different roller position angles along with the change of the roller bus is shown, and as shown in fig. 3, the trend of the contact stress of the outer ring of the bearing with the roller bus at the different roller position angles along with the change of the roller bus is shown; fig. 4 shows a trend of the inner ring contact stress of the bearing subjected to logarithmic modification at different roller position angles along with the change of the roller generatrix, and fig. 5 shows a trend of the outer ring contact stress of the bearing subjected to logarithmic modification at different roller position angles along with the change of the roller generatrix; fig. 6 shows the trend of the contact stress of the inner ring of the bearing after the logarithmic polynomial modification at different positions of the roller along with the change of the roller generatrix, and fig. 7 shows the trend of the contact stress of the outer ring of the bearing after the logarithmic polynomial modification at different positions of the roller along with the change of the roller generatrix.
Fig. 2 to 7 show the trend of the contact stress between the inner and outer ring raceways and the roller at different roller position angles of the bearing along with the change of the roller generatrix, wherein the roller position angle is a direction with the center of the bearing as a polar coordinate origin, the maximum contact stress between the roller and the inner and outer ring raceways is a polar axis, the polar axis corresponds to the direction with the angle of zero, the position angle of each roller is calibrated in the counterclockwise direction of the bearing, and the maximum contact stress between the roller and the raceway at the position angle of 94.737 degrees in fig. 2 to 7 is shown.
It can be seen from table 1 that the logarithmic-plus-polynomial modification reduces the edge stress and improves the bearing life compared to the logarithmic modification.
TABLE 1
The present invention has been described in relation to particular embodiments thereof, but the invention is not limited to the described embodiments. In the thought given by the present invention, the technical means in the above embodiments are changed, replaced, modified in a manner that is easily imaginable to those skilled in the art, and the functions are basically the same as the corresponding technical means in the present invention, and the purpose of the invention is basically the same, so that the technical scheme formed by fine tuning the above embodiments still falls into the protection scope of the present invention.
Claims (2)
1. Tapered roller bearingThe shape modifying method is characterized in that a part which takes a contact point of a roller and a roller path as an origin and extends for a set length along the length direction of a contact line is modified by a logarithmic curve, and the rest part which extends for the set length is modified by a quadratic polynomial curve; adding logarithmic curve and quadratic polynomial curve to obtain modified curve equation
Wherein, x is a coordinate value along the length direction of the contact line with the contact point of the roller and the raceway as the origin, y is a radial coordinate value corresponding to the abscissa x, and L we Is roller contact effective length, L' we For the effective length of logarithmic modification, i.e. the set length, r is the roller chamfer radius, P is the contact full load, γ 1 And gamma 2 Poisson's ratio, E, of contact element 1 and contact element 2, respectively 1 And E 2 The modulus of elasticity of the contact element 1 and the contact element 2, respectively, a, b, c being parameters of a quadratic polynomial equation, respectively; according to the logarithmic curve equation and the quadratic polynomial equation at the coordinate point (x) of the sudden change of the offset load stress 0 ,y 0 ) The slope of the curve is the same as the curve value, and the parameter relation of a quadratic polynomial equation is obtained
Wherein it is present>
And then, obtaining the change relation between the quadratic polynomial parameter and the contact stress distribution rule curve through physical simulation, comparing to obtain the optimal parameter corresponding to the modified element, and obtaining the optimal modification curve.
2. A roller bearing is characterized in that the bearing uses a logarithmic curve to shape a part which takes a roller and a raceway contact point as an origin and extends for a set length along the length direction of a contact line, and uses a quadratic polynomial curve to shape the rest part except the extending set length; the logarithmic curve and the quadratic polynomial curve are superposed to obtain a modification curveFang Cheng
Wherein x is a coordinate value along the length direction of the contact line with the contact point of the roller and the raceway as the origin, y is a radial coordinate value corresponding to the abscissa x, and L is we Is roller contact effective length, L' we For the effective length of logarithmic modification, i.e. the set length, r is the roller chamfer radius, P is the contact full load, γ 1 And gamma 2 Poisson's ratio, E, of contact element 1 and contact element 2, respectively 1 And E 2 The modulus of elasticity of the contact element 1 and the contact element 2, respectively, a, b, c being parameters of a quadratic polynomial equation, respectively; according to the logarithmic curve equation and the quadratic polynomial equation, at the bias load stress sudden change coordinate point (x) 0 ,y 0 ) The slope of the curve is the same as the curve value, and the parameter relation of a quadratic polynomial equation is obtained
Wherein +>
And then, obtaining the change relation between the quadratic polynomial parameter and the contact stress distribution rule curve through physical simulation, comparing to obtain the optimal parameter corresponding to the modified element, and obtaining the optimal modification curve. />
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| CN111291455B (en) * | 2020-03-10 | 2024-04-26 | 洛阳轴承集团股份有限公司 | Shape modification design method of self-aligning bearing roller for wind power equipment |
| CN111475895B (en) * | 2020-04-10 | 2023-03-24 | 洛阳Lyc轴承有限公司 | End arc shape-modifying method for spherical roller |
| CN115139158B (en) * | 2022-06-22 | 2023-10-10 | 洛阳理工学院 | Roller repairing method for double-row aligning spherical roller bearing |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1249623A1 (en) * | 2001-04-12 | 2002-10-16 | NSK Ltd., | Tapered roller 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 |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1249623A1 (en) * | 2001-04-12 | 2002-10-16 | NSK Ltd., | Tapered roller 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 |
Non-Patent Citations (2)
| Title |
|---|
| 圆柱滚子轴承滚动体修形技术的研究;魏延刚;《润滑与密封》;20030530(第03期);全文 * |
| 高速列车轴箱圆锥滚子轴承滚动体的对称修形;魏延刚等;《大连交通大学学报》;20160615(第03期);全文 * |
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Inventor after: Qiu Ming Inventor after: Niu Zhenhua Inventor after: Zhang Bin Inventor after: Wang Xinying Inventor after: Zhang Rui Inventor after: Pang Xiaoxu Inventor after: Du Hui Inventor after: Li Yingchun Inventor before: Qiu Ming Inventor before: Niu Zhenhua Inventor before: Zhang Rui Inventor before: Pang Xiaoxu Inventor before: Du Hui Inventor before: Li Yingchun |
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Effective date of registration: 20240227 Address after: No.263, Kaiyuan Avenue, Luolong District, Luoyang City, Henan Province Patentee after: HENAN University OF SCIENCE AND TECHNOLOGY Country or region after: China Patentee after: METALS & CHEMISTRY RESEARCH INSTITUTE OF CHINA ACADEMY OF RAILWAY SCIENCES Corp.,Ltd. Patentee after: Luoyang Bearing Group Co.,Ltd. Address before: 471003 No. 48, Xiyuan Road, Jianxi District, Henan, Luoyang Patentee before: HENAN University OF SCIENCE AND TECHNOLOGY Country or region before: China |