TITLE:
A New Updating Method for the Undamped Vibroacoustic System with No Spill-Over
AUTHORS:
Xiaomin Zhou, Kang Zhao
KEYWORDS:
Undamped Vibroacoustic System, Model Updating, No Spill-Over
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.9,
September
11,
2025
ABSTRACT: In this paper, we consider the model updating problem of the undamped vibroacoustic system with no spill-over (MUP-UVA), which is to update the original system to a new system such that some “unstable” eigenvalues are replaced by some newly measured ones. Based on the spectral decomposition of the undamped vibroacoustic system, a necessary and sufficient condition is derived such that the updated system can preserve no spill-over, and a set of parametric solutions of MUP-UVA is characterized. Furthermore, a gradient optimization algorithm for the minimum norm solution of MUP-UVA is proposed and the performance of the algorithm is illustrated by several numerical experiments.