Robust linearisation of nonlinear frequency dependencies

Karl Meerbergen, KU Leuven
Co-authors: Elke Deckers and Stijn Jonckheere

Classical vibro-acoustic analysis relies on a description of the model in the frequency domain. Passive damping and absorptive materials, such as visco-elastic, porous and poroelastic materials exhibit viscous and thermal damping mechanisms, which result in complex, frequency-dependent behaviour. Many different descriptions to account for their complex behaviour can be found in literature. Time domain analysis of such systems has gained quite some attention in the context of auralisation, virtual sensing and inverse characterization. Starting from the corresponding time-domain description of these materials is not always so straightforward as convolutions are required to account for the constitutive relationships. One solution is to make use of a recursive convolution which requires storage of only a minimum number of time steps per variable. The goal of this talk is to present a method that allows to simulate nonlinear frequency dependent models directly in the time domain.