Comparison of approaches to determination of hydraulic forces of long squeeze-film dampers

Abstract eng:
One possibility how to decrease lateral vibration of rotors excited by imbalance of the rotating parts is to couple the shaft with the stationary part through squeeze film dampers. An important factor that can significantly influence their dynamical properties is fluid inertia. For accommodation of damping forces in computational models several approaches have been developed : (i) a method based on calculation of the viscous forces by solving a Reynolds equation and determination of the inertia ones from the Lagrange equation and Reynolds transport theorem, (ii) a method based on averaging terms in the Navier-Stokes equation related to the direction of prevailing pressure gradient, and (iii) a method based on solving a set of Navier-Stokes equations. These methods have been implemented into the procedure for determination of the steady-state response of a rotor excited by imbalance of the rotating parts employing a trigonometric collocation method. The particular approaches to calculation of the damping forces differ in the extent of their validity, in the number of arithmetical operations, and as application of the trigonometric collocation method results into solving a set of non-linear algebraic equations they have different influence on convergence of the computational process.

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