Method for calculating normal contact angle of double-row self-aligning asymmetric spherical roller bearing

Abstract

The invention discloses a method for calculating a normal contact angle of a double-row self-aligning asymmetric spherical roller bearing, belongs to the technical field of design of double-row self-aligning asymmetric spherical roller bearings, and aims to solve the problem that the conventional method for calculating the normal contact angle is lacked during design and analysis of the double-row self-aligning asymmetric spherical roller bearing. Comprising the following steps: taking geometric centers of an outer ring and an inner ring as a point A, taking a central point of an inner raceway of the inner ring as a point B, moving the central point of the raceway of the inner ring from the point B to B'after the inner ring moves by Sd / 2 along the radial direction, taking a central point of an upper contour radius of the asymmetric spherical roller as a point C, and taking a central point of a lower contour radius as a point D; the outer ring raceway is in contact with the asymmetric spherical roller to form a normal contact angle, the outer ring normal contact angle is alpha, the inner ring raceway is in contact with the asymmetric spherical roller to form a normal contact angle, the inner ring normal contact angle is beta, and the inclined angle of the asymmetric spherical roller is theta; and alpha, beta and theta are calculated according to the distance between A and C, the distance between B'and D, the distance between C and D, the horizontal and vertical coordinates of the center point of the inner ring raceway and the relationship among alpha, beta and theta. The method is used for designing the asymmetric spherical roller bearing.

Description

Technical Field

[0001] The invention relates to a method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing, and belongs to the technical field of double-row self-aligning asymmetric spherical roller bearing design. Background Art

[0002] Double-row self-aligning spherical roller bearings are mainly used in the transmission systems of engines and generators. They can bear large radial loads and have self-aligning functions, which can compensate for the flexural deformation of the transmission system during operation. According to the difference in roller profile shape, they can be further divided into double-row self-aligning symmetrical spherical roller bearings and double-row self-aligning asymmetrical spherical roller bearings. Compared with double-row self-aligning symmetrical spherical roller bearings, under the same installation space size conditions, double-row self-aligning asymmetrical spherical roller bearings have a smaller design contact angle, so they have stronger radial load-bearing capacity.

[0003] However, the existing double-row self-aligning asymmetric spherical roller bearings lack a method for calculating the normal contact angle during design and analysis, which leads to great inconvenience in the design of this type of bearings. Summary of the invention

[0004] The purpose of the present invention is to solve the problem that there is a lack of a normal contact angle calculation method in the design and analysis of the existing double-row self-aligning asymmetric spherical roller bearings, and to provide a normal contact angle calculation method for a double-row self-aligning asymmetric spherical roller bearing.

[0005] The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing of the present invention comprises:

[0006] Assume that the geometric center of the outer ring and the inner ring is point A, the center point of the inner raceway of the inner ring is point B, and the inner ring moves radially by S. d / 2, the center point of the inner ring raceway moves from point B to point B'. After the movement, the ordinate of the center point of the inner ring raceway is L y , where S d Indicates the radial clearance of the bearing; the center point of the upper contour radius of the asymmetric spherical roller is point C, and the center point of the lower contour radius of the asymmetric spherical roller is point D; the raceway of the outer ring contacts the asymmetric spherical roller to form a normal contact angle, the normal contact angle of the outer ring is α, the raceway of the inner ring contacts the asymmetric spherical roller to form a normal contact angle, the normal contact angle of the inner ring is β, and the inclination angle of the asymmetric spherical roller is θ;

[0007] The distance L between point A and point C AC for:

[0008] L AC =r o -R (1);

[0009] Among them, r orepresents the raceway radius of the outer ring, and R represents the profile radius of the asymmetric spherical roller;

[0010] The distance L between point B' and point D B'D for:

[0011] L B'D =r i -R (2);

[0012] Among them, r i Indicates the raceway radius of the inner ring;

[0013] The distance L between point C and point D CD for:

[0014] L CD =2R-D w (3);

[0015] Among them, D w Indicates the diameter of the asymmetric spherical roller;

[0016] The horizontal coordinate L of the center point of the inner ring raceway Bx and the ordinate L By for:

[0017]

[0018] L y =L By +S d / 4 / cos(α)+S d / 4 / cos(β) (5);

[0019] Among them, L y represents an intermediate variable;

[0020] The relationship between α, β and θ is:

[0021] θ = (α + β) / 2 (6);

[0022] Substitute equations (1), (2), (3), (5) and (6) into equation (4) to calculate α, β and θ.

[0023] Preferably, the double-row self-aligning asymmetric spherical roller bearing comprises an outer ring, an inner ring and an asymmetric spherical roller, and the asymmetric spherical roller is arranged between the outer ring and the inner ring.

[0024] Preferably, the maximum diameter points of the asymmetric spherical roller are point M and point N, and point C, point D, point M and point N are located on the same straight line.

[0025] Advantages of the invention: The invention proposes a method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing, which takes into account the contour shape of the asymmetric spherical roller and can accurately calculate the normal contact angle of the double-row self-aligning asymmetric spherical roller bearing. This method for calculating the normal contact angle is very suitable for the design analysis of the double-row self-aligning asymmetric spherical roller bearing and provides guidance for the design analysis of the double-row self-aligning asymmetric spherical roller bearing. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 It is a structural schematic diagram of the double-row self-aligning asymmetric spherical roller bearing of the present invention;

[0027] Figure 2 It is a schematic diagram of the internal geometric relationship of the double-row self-aligning asymmetric spherical roller bearing of the present invention;

[0028] Figure 3 It is a schematic diagram of the internal geometric relationship of the double-row self-aligning asymmetric spherical roller bearing of the present invention after the inner ring moves radially;

[0029] Figure 4 It is a schematic structural diagram of the asymmetric spherical roller of the present invention. DETAILED DESCRIPTION

[0030] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0031] It should be noted that, in the absence of conflict, the embodiments of the present invention and the features in the embodiments may be combined with each other.

[0032] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, but they are not intended to limit the present invention.

[0033] Embodiment 1:

[0034] Combine the following Figure 1-Figure 4 The present embodiment is described. The method for calculating the normal contact angle of the double-row self-aligning asymmetric spherical roller bearing described in the present embodiment comprises:

[0035] Assume that the geometric center of outer ring 1 and inner ring 2 is point A, the center point of the inner raceway of inner ring 2 is point B, and the inner ring 2 moves radially by S. d / 2, the center point of the inner ring 2 raceway moves from point B to point B'. After the movement, the vertical coordinate of the center point of the inner ring 2 raceway is L y , where S dIndicates the radial clearance of the bearing; the center point of the upper contour radius of the asymmetric spherical roller 3 is point C, and the center point of the lower contour radius of the asymmetric spherical roller 3 is point D; the raceway of the outer ring 1 contacts the asymmetric spherical roller 3 to form a normal contact angle, the normal contact angle of the outer ring 1 is α, the raceway of the inner ring 2 contacts the asymmetric spherical roller 3 to form a normal contact angle, the normal contact angle of the inner ring 2 is β, and the inclination angle of the asymmetric spherical roller 3 is θ;

[0036] The distance L between point A and point C AC for:

[0037] L AC =r o -R (1);

[0038] Among them, r o represents the raceway radius of the outer ring 1, and R represents the profile radius of the asymmetric spherical roller 3;

[0039] The distance L between point B' and point D B'D for:

[0040] L B'D =r i -R (2);

[0041] Among them, r i Indicates the raceway radius of the inner ring 2;

[0042] The distance L between point C and point D CD for:

[0043] L CD =2R-D w (3);

[0044] Among them, D w represents the diameter of the asymmetric spherical roller 3;

[0045] The horizontal coordinate L of the center point of the inner ring 2 raceway Bx and the ordinate L By for:

[0046]

[0047] L y =L By +S d / 4 / cos(α)+S d / 4 / cos(β) (5);

[0048] Among them, L y represents an intermediate variable;

[0049] The relationship between α, β and θ is:

[0050] θ = (α + β) / 2 (6);

[0051] Substitute equations (1), (2), (3), (5) and (6) into equation (4) to calculate α, β and θ.

[0052] Furthermore, the double-row self-aligning asymmetric spherical roller bearing comprises an outer ring 1 , an inner ring 2 and an asymmetric spherical roller 3 , and the asymmetric spherical roller 3 is disposed between the outer ring 1 and the inner ring 2 .

[0053] Furthermore, the maximum diameter points of the asymmetric spherical roller 3 are point M and point N, and point C, point D, point M and point N are located on the same straight line.

[0054] In the present invention, Figure 1 , which is a schematic structural diagram of a double-row self-aligning asymmetric spherical roller bearing, including an outer ring 1, an inner ring 2 and an asymmetric spherical roller 3.

[0055] Point A is the geometric center of the bearing outer ring 1 and inner ring 2, S d is the radial clearance of the bearing,

[0056] Point B is the center point of the inner raceway of inner ring 2.

[0057] Points C and D are the center points of the upper and lower contour radii of the asymmetric spherical roller 3, respectively.

[0058] Points E and F are the actual unloaded contact points between the asymmetric spherical roller 3 and the raceway of the inner ring 2 and the raceway of the outer ring 1, respectively.

[0059] Points M and N are the maximum diameter points of the asymmetric spherical roller 3.

[0060] r i is the raceway radius of inner ring 2, r o is the raceway radius of outer ring 1,

[0061] L Bx , L By They are the horizontal and vertical coordinates of the center point of the raceway of the inner ring 2,

[0062] When the inner ring 2 moves radially S d / 2, the center point of the inner ring 2 raceway moves from point B to point B', L y is the ordinate of the center point of the raceway of the inner ring 2 after the movement,

[0063] The raceway of the inner ring 2, the raceway of the outer ring 1 and the asymmetric spherical roller 3 contact to form a normal contact angle, α is the normal contact angle of the outer ring 1, β is the normal contact angle of the inner ring 2, θ is the inclination angle of the asymmetric spherical roller 3, and points C, D, M, and N are on the same straight line.

[0064] R is the profile radius of the asymmetric spherical roller 3, Dw is the diameter of the spherical roller (3), L w is the total length of the asymmetric spherical roller 3, r d is the chamfer of the asymmetric spherical roller 3), L D is the distance from the maximum diameter point of the asymmetric spherical roller 3 to the large end surface.

[0065] The present invention proposes a method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing, which assists and guides bearing designers in calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing. Through the method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing provided by the present invention, the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing can be calculated more accurately. The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing provided by the present invention takes into account the contour shape of the asymmetric spherical roller. The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing provided by the present invention is very suitable for the design analysis of double-row self-aligning asymmetric spherical roller bearings, and provides guidance for the design analysis of double-row self-aligning asymmetric spherical roller bearings.

[0066] Although the present invention is described herein with reference to specific embodiments, it should be understood that these embodiments are merely examples of the principles and applications of the present invention. It should therefore be understood that many modifications may be made to the exemplary embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that the various dependent claims and features described herein may be combined in a manner different from that described in the original claims. It should also be understood that features described in conjunction with individual embodiments may be used in other described embodiments.

Claims

1. The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing is characterized in that: It includes: Assume that the geometric center of the outer ring (1) and the inner ring (2) is point A, the center point of the inner raceway of the inner ring (2) is point B, and the inner ring (2) moves radially by S. d / 2, the center point of the raceway of the inner ring (2) moves from point B to point B'. After the movement, the vertical coordinate of the center point of the raceway of the inner ring (2) is L y , where S d Indicates the radial clearance of the bearing; the center point of the upper contour radius of the asymmetric spherical roller (3) is point C, and the center point of the lower contour radius of the asymmetric spherical roller (3) is point D; the raceway of the outer ring (1) contacts the asymmetric spherical roller (3) to form a normal contact angle, and the normal contact angle of the outer ring (1) is α; the raceway of the inner ring (2) contacts the asymmetric spherical roller (3) to form a normal contact angle, and the normal contact angle of the inner ring (2) is β; the inclination angle of the asymmetric spherical roller (3) is θ; The distance L between point A and point C AC for: L AC =r o -R (1); Among them, r o represents the raceway radius of the outer ring (1), R represents the profile radius of the asymmetric spherical roller (3); The distance L between point B' and point D B'D for: L B'D =r i -R (2); Among them, r i represents the raceway radius of the inner ring (2); The distance L between point C and point D CD for: L CD =2R-D w (3); Among them, D w represents the diameter of the asymmetric spherical roller (3); The horizontal coordinate L of the center point of the inner ring (2) raceway Bx and the ordinate L By for: L y =L By +S d / 4 / cos(α)+S d / 4 / cos(β) (5); Among them, L y represents an intermediate variable; The relationship between α, β and θ is: θ = (α + β) / 2 (6); Substituting equations (1), (2), (3), (5) and (6) into equation (4), we can calculate α 、 β and θ.

2. The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing according to claim 1, characterized in that: The double-row self-aligning asymmetric spherical roller bearing comprises an outer ring (1), an inner ring (2) and an asymmetric spherical roller (3), wherein the asymmetric spherical roller (3) is arranged between the outer ring (1) and the inner ring (2).

3. The method for calculating the normal contact angle of a double-row self-aligning asymmetric spherical roller bearing according to claim 1, characterized in that: The points with the largest diameters of the asymmetric spherical roller (3) are point M and point N, and point C, point D, point M and point N are located on the same straight line.

Images