Abstract

All real engineering systems are subject to uncertainty. The response of the dynamic system becomes very uncertain and varies strongly. In dynamically complex systems the uncertainty and the multiple reflections of waves will constitude a wave field created by multiple waves with random phases. This initiates the concept of diffuse field where the wave field is described by a sum of multiple plane waves with randomly distributed phase, shape and orientation. Diffuse fields are an appropriate tool to describe random wave fields in terms of energy quantities. The rectangular plates is taken as a test case for two-dimensional systems. The bending wave is dispersive and this impacts the diffuse field assumptions and the link between out-of-plane motion and the energy density. For the investigation of the diffuse field concept applied to ensembles of random systems, modal solutions of two- or three-dimensional systems are used.

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