Model Reduction Technique for Analysing Friction-Induced Vibrations and Radiated Sound

Abstract

A novel approach for the calculation of friction induced vibration is presented and applied to a real life example. The balance equations of continuum mechanics representing the underlying physics are simplified and then solved numerically. First, a linearised model of the example system is built to extract modal parameters such as eigenvalues and eigenvectors. A subset of eigenvectors is then used to calculate the system’s response due to friction related excitation. This non-linear vibration is calculated by utilising an explicit time integration scheme. With the use of a subset of eigenvectors the degree of freedom of the system is reduced drastically, leading to considerable reduction of computational effort. The solution is compared to results from adequate experiments. Although developed in a context of noise calculation in the automotive sector, this work focuses on the calculation of friction induced vibration, rather than on noise prediction. Nevertheless, as an example the resulting noise of the vibrating system is estimated by means of the Equivalent Radiated Power (ERP).