Deviatoric component modes in an interval component mode synthesis procedure

This paper focuses on the integration of interval uncertainties in the procedure of the Component Mode Synthesis (CMS) method used for the dynamic analysis of large finite element (FE) models in mechanical engineering. Two methods are combined in this work: the Interval Finite Element Method for the nondeterministic eigenvalue and frequency response function analysis of FE models with uncertain parameters, and the Component Mode Synthesis method for the efficient dynamic analysis of built-up structures. The paper discusses a novel approach which efficiently interweaves these techniques by introducing a concept for the approximative representation of uncertainty-affected component modes. Various representations are proposed that enable the accurate propagation of uncertainties affecting components to be reduced, through the CMS procedure. The numerical example in the final part of the paper provides a quantitative comparison of the accuracy obtained by the different variants of the novel approximative component reduction technique.