Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations

Mitseas, IP orcid.org/0000-0001-5219-1804, Ni, P, Fragkoulis, VC et al. (3 more authors) (2021) Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. In: Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2021). 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering, 28-30 Jun 2021, Athens, Greece. Institute of Structural Analysis and Antiseismic Research National Technical University of Athens , pp. 5367-5373.

Abstract

A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear complex multi-body systems with singular parameter matrices subject to combined periodic and stochastic loads. The singular parameter matrices are due to adopting redundant coordinates for modeling the system governing equations of motion. Considering that the system response has a periodic as well as a stochastic component, a harmonic balance methodbased scheme is used for treating the deterministic component, followed by the application of the generalized statistical linearization method, in conjunction with an averaging treatment to account for the stochastic component. The validity of the proposed technique is demonstrated by pertinent numerical examples.

Metadata

Authors/Creators:	Mitseas, IP https://orcid.org/0000-0001-5219-1804 Ni, P Fragkoulis, VC Kong, F Beer, M Fragiadakis, M
Copyright, Publisher and Additional Information:	© 2021 The Authors. Published by Eccomas Proceedia. Made available with the permission of the copyright holders.
Dates:	Accepted: 21 April 2021 Published: 30 June 2021
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	03 Aug 2022 14:15
Last Modified:	09 Aug 2022 09:01
Status:	Published
Publisher:	Institute of Structural Analysis and Antiseismic Research National Technical University of Athens
Identification Number:	https://doi.org/10.7712/120121.8872.20780

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Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations

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