Direct Taylor Expansion of Substructures Constructed Parametric Reduced-Order Modeling Method

The parametric substructure modeling shows enormous potential for efficiently conducting dynamic reanalysis of large-scale structures with small geometric variability. Parametric substructure mode is a vital component in ensuring the accuracy of the modeling process. This work uses the Craig–Bampton Component Mode Synthesis method to calculate normal and constraint modes of substructures at interpolation points. Instead of using singular value decomposition of augmented fixed-interface modes, the presented approach performs direct Taylor expansion for substructure modes with randomly varying parameters. The parametric substructure modes are approximated by the modes at interpolation points. The global parametric reduced-order model is constructed through the synthesis of parametric substructures. The effectiveness of the proposed approach is validated through 1) a thickness-variable beam, 2) a cantilevered plate with varying thicknesses, and 3) a mistuned blisk. Numerical results demonstrate that the computational accuracy of the parametric reduced-order model aligns closely with a more time-consuming full-order model.