The dynamics of coupled structures possessing inhomogeneous attachments

摘要

Structures with hydraulic pipes and cable bundles attached to them are commonly found in engineering, therefore it is of interest to determine the effects of such attachments on the dynamics of the host structures and quantify them. Moreover, manufacturing processes often lead to deviations from the original design. One way to take these deviations into account is to consider small variations in the mechanical properties and/or geometry of the structures. This paper models the attachments as slowly varying inhomogeneous beams and uses the WKB (Wentzel, Kramers and Brillouin) approximation and wave propagation to derive the input and transfer mobilities of said beams. The properties of the beam are described as a random field and are expressed using the Karhunen-Loeve expansion. Once the mobilities are known, a mobility approach can be used to couple the attachments to a host structure. Rigid connections are considered along with variations of the spacing between the attachments.