With the rapid development of modern industrialization,the market has put forward new requirements for the stability and reliability of machinery in various industries,and the space bearing,as the most important component of the rotating motion pair,plays a vital role.Among them,angular contact ball bearings perform well in occasions where the speed requirements are medium and high speeds or the load requirements are heavy loads,especially in the fields of engine parts,locomotive power systems,aerospace satellite bearings,carrier rocket bearings and other fields.Therefore,to improve the stability and reliability of mechanical equipment,it is necessary to study the nonlinear system dynamics of angular contact ball bearings.In order to further understand the dynamic characteristics of the bearing,it is necessary to establish a dynamic model that considers the number of steel balls,guide clearance,pocket clearance and friction.Starting from the basic theory of bearings,this article discusses the macro-geometry of angular contact ball bearings,including bearing structure,curvature calculation,and bearing clearance.It combines all the frictional moments that may be generated by angular contact ball bearings during operation.The calculation method is introduced in detail,and a method is proposed to refine the contact between the rolling elements of the bearing and the inner and outer rings by meshing,so that the contact force between the rolling elements and the ring is more in line with the actual value.Combining multiple factors such as guide clearance,pocket clearance and friction,based on the theory of multi-body dynamics,the differential equations and statics equations of motion for cages,ferrules and steel balls with multiple degrees of freedom are established.With the aid of simulation software,the cage centroid trajectory data under different guide gaps,different pocket gaps and different speeds are simulated,and two-dimensional visualization processing is carried out with the help of data processing software.It is found that the cage centroid trajectory will approach a circle,and the greater the rotation speed,The faster the forming speed of this circle,and the larger the guiding gap,the larger the size of this circle.As the pocket gap increases,the track of the cage is affected by the rotation speed,and the track shifts,which is dense and concentrated in the direction of rotation speed and the direction of gravity.The angular contact ball bearing was embedded in the mechanical arm and simulated,and it was found that under different loads and speeds,the angular velocity of the cage in the bearing axial direction continued to change,occasionally peaks appeared,and the peak of the cage rotation speed was increased with the increase of the rotation speed.The time of appearance of the location also changes accordingly. |