Variability in the dynamic response of connected structures

Marcos Souza¹; Neil Ferguson¹

¹ Institute of Sound and Vibration Research, University of Southampton

doi:10.20906/CPS/USM-2016-0004

Resumo

Structures with attachments, such as cable bundles or hydraulic pipes, are widely used in different fields of engineering. Thus it is of interest to know how to model these properly. Manufacturing variation also produces variability in the nominal properties of the materials and these deviations lead to different dynamic responses of nominally identical components. This is especially significant in the so called mid to higher frequencies. This paper will apply a mobility method to simple and idealised structures comprising one-dimensional wave bearing systems, such as cable bundles or hydraulic pipes, connected to isotropic plate or shell types structures in order to explore potential methods for coupling together uniform structures. Considering point attachments of a beam to a plate, a mobility approach has been developed and implemented to quantify and understand the significance of the dynamic properties of the attachments and the variability that might be introduced by random spacing of the attachments points. Slow varying properties in one of the substructures, namely the beam, can be introduced using the Karhunen-Loeve expansion and the effect of its dynamic characteristics on the response of the coupled system can be incorporated.

Palavras-chave: Dynamics; Variability; Attachments