Multi-source random excitation identification for stochastic structures based on matrix perturbation and modified regularization method

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

41 Scopus Citations
View graph of relations



Original languageEnglish
Pages (from-to)266-292
Number of pages27
Journal / PublicationMechanical Systems and Signal Processing
Online published9 Oct 2018
Publication statusPublished - 15 Mar 2019
Externally publishedYes


In view of the characteristic of pseudo excitation and effects of the regularization parameter λ on the residual norm and solution norm, a novel modified regularization method is proposed to solve the ill-posed problem and mitigate the error propagation of random dynamic loads identification. Compared with Moore-Penrose pseudo inverse and Tikhonov regularization methods that are sensitive to the selection of measurement locations, the proposed modified regularization method can always identify the loads accurately and stably regardless of measurement locations. In addition, the identified loads always match the actual ones from low to high frequency domains using the proposed modified regularization method. Furthermore, the matrix perturbation method is combined with the modified regularization method to analyze the multisource loads acting on the uncertain structure. Several practical engineering examples are conducted to demonstrate that the lower and upper bounds of identified forces can be obtained, which clearly validates the effectiveness and feasibility of the proposed methods in the application of complicated structures. (C) 2018 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Random dynamic loads identification, Stochastic structures, Matrix perturbation, Modified regularization method, DYNAMIC LOAD IDENTIFICATION, FORCE IDENTIFICATION, ERROR ANALYSIS, MODEL

Citation Format(s)