A Theoretical and Computational Study of the FRF-Based Substructuring Technique Applying Enhanced Least Square and TSVD Approaches

Uncertainty quantification in experimental frequency based substructuring

“…However, in practice a directly measured substructure receptance matrix will never be entirely symmetric, hence in subsequent expressions E 1 and E 2 will be regarded as separate entities. 5 By combining the above and Eq. (3.12), one finds the confidence interval on the coupled FRF matrix from the LM FBS algorithm…”

“…Since this matrix needs to be inverted in the coupling process, ill conditioning could severely magnify the small errors in experimentally determined subsystems. To improve the robustness of DS methods a lot of effort is spent on filtration techniques, using for instance singular value decompositions to make the inversion less sensitive to small perturbations [3][4][5]. In this paper a different approach is taken; instead of trying to eliminate the effects of random errors in experimental substructuring, an uncertainty propagation algorithm will be derived to quantify this effect.…”

Prediction and reduction in vehicle noise by frequency response function–based substructuring

“…8 The FBS method is used to predict the dynamic behavior of a structure based on the dynamic behavior of the constituting substructures. The FRFs of the overall structure is determined from those of the substructures.…”

General Formulation of Inverse Substructuring Method for Multicoordinate Coupled System

“…In recent years, the structural dynamic community showed a rapidly increasing interest in the inverse problems of substructuring method [1][2][3], which aims to decouple the assembled system to obtain the unknown component frequency response functions (FRFs) [4]. This is of significant importance for components that cannot be measured directly or accurately, such as very delicate components.…”