Joint Statistics of Natural Frequencies Corresponding to Structural Systems with Singular Random Parameter Matrices

verfasst von

Vasileios C. Fragkoulis, Ioannis A. Kougioumtzoglou, Athanasios A. Pantelous, Michael Beer

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.

Organisationseinheit(en)

Institut für Risiko und Zuverlässigkeit

Externe Organisation(en)

Columbia University
Monash University

Typ

Artikel

Journal

Journal of engineering mechanics

Band

148

ISSN

0733-9399

Publikationsdatum

03.2022

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Maschinenbau, Werkstoffmechanik

Elektronische Version(en)

https://doi.org/10.1061/(ASCE)EM.1943-7889.0002081 (Zugang: Geschlossen)