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Chu, M.T., Lin, W. and Xu, S. (2007) Updating Quadratic Models with No Spillover Effect on Unmeasured Spectral Data. Inverse Problems, 23, 243-256.
https://doi.org/10.1088/0266-5611/23/1/013

has been cited by the following article:

• 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.