Mathematical model of the unsteady motion of a shaft in a hydrodynamic plain bearing

An asymptotic solution is obtained that describes the unsteady motion of a shaft in a cylindrical plain bearing with hydrodynamic lubrication in the case of a constant external load. Oscillatory modes of transition to a steady-state position of the shaft for various values of the external load are considered. The characteristic time of velocity relaxation to the quasiequilibrium values determined from the inertialess approximation equations is obtained. Oscillation frequencies and amplitudes, shaft paths, and oscillation decay times are determined. The effect of a thin elastic liner on the characteristics of the transient process is explored.