Time domain energy response of uncertain structures

The dynamic response characterization of a complex system comprises of multiple heterogeneous substructures remains one of the most challenging problems in structural dynamics. Inherent uncertainties and the high dimensionality of the problem led to develop approaches imported also from other areas of physics and engineering. In this paper a new approach, namely the Time Asymptotic ensemble Energy average (TAE), a statistical method for the prediction of the transient energy sharing among two or more subsystems, for both weak and strong coupling is developed. The originality of this method relies on an asymptotic expansion technique, able to evaluate the energy distribution among the subcomponents of a system in transient and steady state conditions, based on the low order modes response, i.e. at a low computational cost. The method is experimentally validated for and a good agreement with theoretical prediction is found.