Reconstructing the Excitation Force on a Cylindrical Shell Through Radial Response Measurement

A method for reconstructing radial excitation forces on a cylindrical shell using only radial displacement measurements is presented. Based on Flügge’s thin shell theory, the established relationships between radial excitation forces and the resulting circumferential, tangential, and radial displacements on a cylindrical shell are given. An inverse problem model is then formulated to reconstruct the radial excitation forces in the absence of circumferential and tangential displacement data. The radial excitation forces are estimated using Iterative Reweighted Tikhonov regularization (IRTR) and Sparse Bayesian Learning (SBL) integration. Validation through modal superposition and finite element methods demonstrates the robustness and accuracy of the proposed approach across a broad frequency range and under varying signal-to-noise ratios. Additionally, the study investigates the influence of measurement intervals on the cylindrical shell surface, showing that smaller intervals enhance accuracy while larger intervals provide more stable results. The results highlight significant improvements over traditional methods such as the Force Analysis Technique (FAT).