Fragkoulis, Vasileios C 
ORCID: 0000-0001-9925-9167, Kougioumtzoglou, Ioannis A, Pantelous, Athanasios A ORCID: 0000-0001-5738-1471 and Beer, Michael ORCID: 0000-0002-0611-0345
(2022)
Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices.
JOURNAL OF ENGINEERING MECHANICS, 148 (3).
04022001-.
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Abstract
An asymptotic approximation methodology for solving standard random eigenvalue problems is generalized herein to account for structural systems with singular random parameter matrices. In this regard, resorting to the concept of the Moore-Penrose matrix inverse and generalizing expressions for the rate of change of the eigenvalues, novel closed-form expressions are derived for the joint moments of the system natural frequencies. Two indicative examples pertaining to multiple-degree-of-freedom structural systems are considered for demonstrating the reliability of the methodology. Comparisons with pertinent Monte Carlo simulation data are included as well.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Random eigenvalue problem, Singular matrix, Random vibration, Moore-Penrose inverse |
| Divisions: | Faculty of Science and Engineering > School of Engineering Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 13 Jan 2022 15:55 |
| Last Modified: | 14 Mar 2024 18:06 |
| DOI: | 10.1061/(ASCE)EM.1943-7889.0002081 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3146412 |
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