The stability analysis of spherical hybrid sliding bearings includes exploring its dynamic characteristics and critical speed

its stiffness and damping coefficient have an important impact on the stability of the bearing-rotor system

and the study of critical speed can effectively avoid whirl instability in the bearing-rotor system. The boundary slip conditions are considered to analyze the stability of spherical hybrid sliding bearings. Taking the flow of the small hole restrictor into the oilcavity equal to the flow out of the oil sealing edge as the boundary condition

the Reynolds equation in the boundary slip state is solved to obtain the oil cavity pressure and the oil sealing edge pressure. For the transient Reynolds equation in the boundary slipstate

the equation uses the small perturbation method to derive the partial differential equation of the perturbation pressure

and combines the finite difference method and the relaxation iterative method to solve the equation to obtain the stiffness and damping coefficient of the ball bearing under the state of boundary slip

and then establish the shafting trajectory equation to solve the instability speed. The influence of slip coefficient

oil supply pressure

rotor speed on the dynamic characteristics of the bearingand the variation law of the instability speed on the slip coefficient are discussed. The results show that the increase of the slipcoefficient will lead to the decrease of the four stiffness coefficients and the cross damping coefficients

and the increase of thedirect dampings. The increase of the oil supply pressure will lead to the increase of the eight dynamic characteristic coefficients

and the increase of the rotational speed will lead to the increase of the stiffness and the decrease of the dampings

and the occurrence of slip effect does not affect the above rules. The instability speed decreases with the increase of slip coefficient

so the system stability decreases.