In this paper

the steady condition of conical spindle distribution and its dynamic response under the changing load is investigated. The lubrication model in spherical coordinate system is developed based on the particular structure

and from force analysis

the dynamic model of conical spindle distribution in axial and radial freedoms is also constructed. The static and dynamic lubricating performance including the shaft eccentricity and distribution gap height is obtained by solving the model with a numerical method. The result shows that the shaft eccentricity and distribution gap height oscillates intensely under the impact loading and gets back to a balance position in a short time. Such a self-adaptive feature of the lubrication performance of conical spindle distribution without requiring external adjustment is significant to ensure the reliability as the ball piston pumps are working.