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DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
New anti-symmetric random matrix applied to a simple rotor-dynamic system
Submission Author:
Bernardo Fonseca Nogueira , RJ , Brazil
Co-Authors:
Bernardo Fonseca Nogueira, Thiago Ritto
Presenter: Bernardo Fonseca Nogueira
doi://10.26678/ABCM.DINAME2023.DIN2023-0027
Abstract
The Random matrix theory emerged in the mid-1950 in the context of Nuclear physics. Since the early 2000s, it has been used in Computational mechanics for taking into account uncertainties in the operators of the equations of the model. The theory has been used successfully associated to symmetric and positive-definite matrices. On the other hand, applications of anti-symmetric random matrices have been largely ignored in the literature. The present work makes a review of the most important matrix-variate distributions for Computational mechanics and explores applications of anti-symmetric random matrices in uncertainty quantification. We propose a novel ensemble of anti-symmetric random matrices and an example of application of this ensemble is investigated. The example analyzed is a simple rotor-dynamic system.
Keywords
random matrices, anti-symmetric, global uncertainties, Rotor Dynamics
