Efficient Method for Predicting the Vibratory Response of Linear Structures with Friction Interfaces. Volume 1. Theory and Application

摘要

One important consideration in the design of gas turbine engines is limiting the amplitudes of steady-state vibrations of its components in order to prevent failures due to high cycle fatigue. The most widely used damping devices incorporate especially designed friction interfaces which dissipate energy and reduce high frequency vibrations to an acceptable level. A simple methodology to study the steady-state response of systems consisting of linear elastic substructures connected by friction interfaces is presented. Assuming that only the first Fourier components of the friction forces contribute significantly to the system response, the differential equations of motion are transformed into a system of algebraic complex equations for different normal loads in the friction interfaces. As part of the solution procedure, a criterion to determine the slip-to-stuck transitions in the joint is proposed. Within the assumption that the response is harmonic, any desired accuracy can be obtained with this methodology. Data structures and algorithms for the automatic formulation of the system of algebraic complex equations are also developed. Selected numerical examples are presented to illustrate practical applications and the relevant features of the methodology. Due to its simplicity, this methodology is particularly appropriate for performing parametric studies that require solutions for many values of normal loads. (AW)