Unbalance Responses of Rotor/Stator Systems with Nonlinear Bearings by the Time Finite Element Method

Abstract

Since the early 1970s, major works in rotordynamics were oriented toward the calculation of critical speeds and unbal-ance responses. The current trend is to take into account many kinds of non-linearities in order to obtain more realistic predictions. The use of algorithms based on nonlinear methods is therefore needed. This article first describes the time finite element method. The method is then applied to nonlinear rotor/stator systems where bearings present a radial clearance.

Applications of Jacobi’s Elliptic Functions in Forced Vibration in Nonlinear Rotor Dynamics

“…For example, when manufacturing it is worth considering that with an increase in the film thickness the amplitudes of self-oscillations also increase [6,10,36], and insufficient film thickness will lead to a violation of the thermal regime in the bearing, which leads to quick wear of the stud), they are more durable, and do not require special working conditions as magnetic bearings. In most cases, the approximation by a cubic power series is used to describe the nonlinear properties of rolling bearings [9,10,[38][39][40].…”