CN-122016307-A - Method for determining wear distribution of ball bearing rolling bodies

CN122016307ACN 122016307 ACN122016307 ACN 122016307ACN-122016307-A

Abstract

The invention relates to the technical field of bearing wear detection, and discloses a method for determining wear distribution of a ball bearing rolling body, which comprises the steps of firstly obtaining the wear rate and the contact point coordinates of the ball bearing rolling body at different moments in a wear measurement time period; the method comprises the steps of obtaining the surface area of a ball bearing rolling body, dispersing the surface area of the ball bearing rolling body into a plurality of spherical cap surface grids in an equal area mode, recording coordinate intervals of the grids, calculating the abrasion increment of each moment according to the abrasion rate and the measurement time step for each moment, judging the spherical cap surface grids according to the contact point coordinates of the moment, accumulating the abrasion increment to the spherical cap surface grids, and finally finishing abrasion accumulation of the spherical cap surface grids through traversing all the moments to obtain the abrasion distribution of the whole spherical surface of the rolling body. According to the invention, the surface is discretized and the abrasion mapping and accumulation are carried out by considering the dynamic change of the contact area in the running process of the bearing, so that the actual abrasion condition between the rolling body and the rollaway nest can be reflected more accurately.

Inventors

MA SHUAIJUN
LIU ZHUO
YAN KE
WEN BO
TIAN CHAOQUN
HONG JUN
CHEN FEI
ZHANG PAN

Assignees

西安交通大学

Dates

Publication Date: 20260512
Application Date: 20260129

Claims (7)

1. A method of determining the wear distribution of ball bearing rolling elements, comprising the steps of: obtaining target parameters at different moments in a wear measurement time period, wherein the target parameters comprise contact force between a ball bearing rolling body and an inner raceway and an outer raceway, relative sliding speed between the ball bearing rolling body and the inner raceway and the outer raceway, axial force and radial force born by the ball bearing rolling body and rotating speed of a driving end of the ball bearing; Determining the wear rate of the ball bearing rolling bodies at different moments based on the acquired contact force and relative sliding speed; Based on the obtained axial force, radial force and rotational speed of the driving end of the ball bearing, solving through a ball bearing dynamic model to obtain contact angles between the ball bearing rolling body and the inner and outer raceways and rotation speeds of the ball bearing rolling body at different moments; determining the coordinates of contact points of the ball bearing rolling bodies at different moments based on the acquired contact angles and the rotation speeds; discretizing the surface of a ball bearing rolling body into a plurality of spherical cap surface grids in an equal area manner, and recording a coordinate interval corresponding to each spherical cap surface grid; And calculating the abrasion increment of each moment in the abrasion measurement time period according to the abrasion rate and the measurement time step length, judging the spherical crown surface grid to which the abrasion increment belongs according to the contact point coordinates of the moment, accumulating the abrasion increment to the spherical crown surface grid, traversing all the moments in the abrasion measurement time period, and finishing the accumulation of the abrasion increment of each spherical crown surface grid to obtain the abrasion distribution of the whole spherical surface of the ball bearing rolling body.
2. The method of determining a wear distribution of ball bearing rolling elements according to claim 1, wherein the method of obtaining contact angles between the ball bearing rolling elements and the inner and outer raceways at different moments and rotational speeds of the ball bearing rolling elements comprises the steps of: Inputting the obtained axial force, radial force and rotational speed of a driving end of the ball bearing into a ball bearing dynamics model by taking the obtained axial force, radial force and rotational speed of the driving end of the ball bearing as input parameters, and constructing a differential equation set of the movement of the ball bearing rolling body based on interaction and stress analysis conditions among components contained in the ball bearing dynamics model, wherein the components comprise the ball bearing rolling body, an inner raceway, an outer raceway, a retainer and lubricating oil, and the stress comprises centrifugal force born by the ball bearing rolling body, contact force and dragging force between the ball bearing rolling body and the inner raceway, collision force between the ball bearing rolling body and the retainer and viscous resistance generated by the lubricating oil on the rolling body and the retainer; and solving a differential equation set of the motion of the constructed ball bearing rolling bodies by adopting a fourth-order Dragon-Kutta method to obtain the contact angles between the ball bearing rolling bodies and the rollaway nest and the rotation speed of the ball bearing rolling bodies at different moments in the wear measurement time period.
3. The method of determining a wear distribution of a ball bearing rolling element according to claim 1, characterized in that the method of determining contact point coordinates of the ball bearing rolling element at different moments based on the acquired contact angle and rotation speed comprises the steps of: the method comprises the steps of taking the center of a ball bearing rolling body as an origin, and establishing a body coordinate system fixed on the ball bearing rolling body and an azimuth coordinate system revolving along with the ball bearing rolling body; And determining the contact point coordinates of the ball bearing rolling bodies in the azimuth coordinate system according to the contact angle between the ball bearing rolling bodies and the rollaway nest: The posture of the ball bearing rolling element at a certain moment is combined with the rotation speed of the ball bearing rolling element under the azimuth coordinate system to determine the changed posture of the ball bearing rolling element at the next moment: in the formula, q n is a quaternion representation form of the ball bearing rolling body gesture at a certain moment, Q n+1 is the representation form of the quaternion of the rolling body gesture of the ball bearing at the next moment, Is the rotation speed of the ball bearing rolling body and =[ x , y , z ], Δt is the duration of the interval, By adopting a quaternion mode, the coordinates of the contact point of the ball bearing rolling body are transformed from an azimuth coordinate system to a body coordinate system, and the coordinates of the contact point at the next moment are expanded into a quaternion format P n+1 = [0, x, y, z ], and the quaternion of the coordinates after coordinate transformation is as follows: , Extraction of The imaginary part in (a) is the coordinates of the contact point in the body coordinate system.
4. A method of determining a wear distribution of a ball bearing rolling element according to claim 3, wherein the coordinates of the contact point of the ball bearing rolling element in the azimuth coordinate system determined from the contact angle between the ball bearing rolling element and the raceway are obtained by using the following formula: , , Wherein, p i is the coordinate of the contact point between the ball bearing rolling element and the inner raceway of the bearing in the azimuth coordinate system, p o is the coordinate of the contact point between the ball bearing rolling element and the outer raceway of the bearing in the azimuth coordinate system, D w is the diameter of the ball bearing rolling element, Is the contact angle between the rolling body of the ball bearing and the inner raceway of the bearing, The contact angle between the rolling body of the ball bearing and the outer raceway of the bearing is adopted.
5. A method of determining the wear distribution of a ball bearing rolling element according to claim 3, wherein the uniform area of the ball bearing rolling element surface is discretized into a plurality of spherical cap surface grids by means of area division such as latitude zones.
6. The method for determining wear distribution of rolling elements of ball bearing according to claim 5, wherein when determining the belonging spherical cap surface mesh according to the coordinates of the contact point, the coordinates of the contact point of the rolling element of ball bearing are matched with the longitude and latitude coordinate intervals of each spherical cap surface mesh under the body coordinate system, if the coordinates of the contact point fall within the coordinate interval of a certain mesh, the spherical cap surface mesh to which the contact point belongs is determined, and if the coordinates of the contact point fall on the boundary of two adjacent meshes, the mesh with smaller longitude and latitude values is attributed by default.
7. The method of determining a wear distribution of a ball bearing rolling element according to claim 5, wherein the area of the divided spherical cap surface mesh is 0.01mm 2 ~0.5mm 2 .

Description

Method for determining wear distribution of ball bearing rolling bodies Technical Field The invention relates to the technical field of bearing wear detection, in particular to a method for determining wear distribution of ball bearing rolling bodies. Background In the running process of the ball bearing, because the contact and relative sliding between the roller path and the ball bearing rolling bodies can generate adhesive wear on the surfaces of the ball bearing, performance indexes such as bearing precision and the like are reduced, and the whole service life of the bearing is seriously influenced, so that the research on the bearing wear is very necessary. In the research process of object abrasion, the relationship between the abrasion rate and parameters such as contact pressure, sliding speed, material hardness and the like can be quantitatively disclosed by adopting an Archard abrasion formula, and the Archard abrasion formula is widely applied to abrasion calculation in the mechanical field and is shown as follows: , where W is the wear rate, K is the wear coefficient, P is the pressure of the contact area, V is the relative sliding speed between the contact surfaces, and H is the hardness of the material. Because the contact point is continuously changed in the running process of the ball bearing rolling body, the area where the abrasion occurs is changed along with the change of time, and the traditional method for calculating and measuring the abrasion of the ball bearing rolling body by solely adopting an Archard abrasion formula is generally regarded as a static or averaging process, and the influence of the change of the contact area in the running process of the bearing cannot be considered in the measuring process, so that the actual abrasion condition between the ball bearing rolling body and the rollaway nest is difficult to reflect. Disclosure of Invention The invention aims to provide a method for determining the wear distribution of a ball bearing rolling body, which aims to solve the problem that the actual wear condition between the rolling body and a raceway is difficult to reflect because the influence of a changed wear area is easily ignored in the existing bearing wear measurement process. The technical scheme of the invention is as follows: a method of determining a wear distribution of ball bearing rolling bodies, comprising the steps of: obtaining target parameters at different moments in a wear measurement time period, wherein the target parameters comprise contact force between a ball bearing rolling body and an inner raceway and an outer raceway, relative sliding speed between the ball bearing rolling body and the inner raceway and the outer raceway, axial force and radial force born by the ball bearing rolling body and rotating speed of a driving end of the ball bearing; Determining the wear rate of the ball bearing rolling bodies at different moments based on the acquired contact force and relative sliding speed; Based on the obtained axial force, radial force and rotational speed of the driving end of the ball bearing, solving through a ball bearing dynamic model to obtain contact angles between the ball bearing rolling body and the inner and outer raceways and rotation speeds of the ball bearing rolling body at different moments; determining the coordinates of contact points of the ball bearing rolling bodies at different moments based on the acquired contact angles and the rotation speeds; discretizing the surface of a ball bearing rolling body into a plurality of spherical cap surface grids in an equal area manner, and recording a coordinate interval corresponding to each spherical cap surface grid; And calculating the abrasion increment of each moment in the abrasion measurement time period according to the abrasion rate and the measurement time step length, judging the spherical crown surface grid to which the abrasion increment belongs according to the contact point coordinates of the moment, accumulating the abrasion increment to the spherical crown surface grid, traversing all the moments in the abrasion measurement time period, and finishing the accumulation of the abrasion increment of each spherical crown surface grid to obtain the abrasion distribution of the whole spherical surface of the ball bearing rolling body. Preferably, as a further improvement of the present invention, the method for obtaining the contact angle between the ball bearing rolling element and the inner and outer raceways at different moments and the rotation speed of the ball bearing rolling element comprises the steps of: Inputting the obtained axial force, radial force and rotational speed of a driving end of the ball bearing into a ball bearing dynamics model by taking the obtained axial force, radial force and rotational speed of the driving end of the ball bearing as input parameters, and constructing a differential equation set of the movement of the ball bearing rolling body bas