In order to research the spherical spiral groove hybrid gas bearings

the nonlinear dynamic lubrication analysis mathematical model of spherical spiral groove hybrid gas bearings was established

based on the parameters of axis instantaneous position and instantaneous displacement speed. The transient perturbation pressure distribution of three-dimensional gas film

stiffness and damping coefficients were numerically computed were solved by using the combination of derivative integration and finite difference method. The influence law of speed

eccentricity ratio and supply pressure on the dynamic characteristics of gas film was researched. The results show that the influence of bearings supply pressure

speed and eccentricity ratio on the stiffness and damping coefficient of gas film was significant. The prediction model to estimate stability of rotor-bearing system was established

helping to predict the stability of bearings by applying Routh-Hurwitz stability criterion. The research provides the theoretical foundation for controlling actively the bearing running stiffness and damping and stemming the instability of gas film.