Vibration Analysis Of A Structure With An Attachment At An Uncertain Location Using Parametric Model Order Reduction With Krylov Subspaces

This paper presents an approach to calculate the response statistics of a structure comprising a main, host structure with an attachment for which there is uncertainty in the coupling location. The approach is based on a Krylov model order reduction method, which reduces the order of a finite element model of the structure enabling an efficient way to estimate the statistics of the structural response. The multi-point constraint method is used to connect the finite element models of the attachment and the structure. One (or more) analysis is performed for the attachment located at a given, position(s) to obtain the projection matrices. Afterwards, a Parametric Model Order Reduction method is applied to reduce the model order. Uncertainty in the location of the attachment is included in a Monte Carlo simulation. The method is described and a numerical example presented which illustrates the accuracy and efficiency of the proposed method.