Adaptive harmonic balance analysis of dry friction damped systems

Abstract

One of the most challenging tasks in structural dynamics is given by analyzing and predicting the behavior of jointed structures. In order to perform numerical investigations the Harmonic Balance Method (HBM) is a very mature and efficient technique for estimating the response behavior of such systems in the frequency domain. A better approximation can be obtained by accounting for more harmonic parts and introducing the Multiharmonic Balance Method (MHBM). This leads to a simultaneous reduction of efficiency due to a huge growth of the system dimensions. The goal of this paper is to present an Adaptive Harmonic Balance Method joining together the advantages of both, HBM and MHBM. Therefore the number of harmonics accounted for is adaptively chosen as small as possible, in order to get an efficient procedure and as big as necessary, in order to obtain precise results. The selection is performed by various criteria estimating the most important harmonic parts from an user defined pool of harmonics.