Mitseas, IP, Kougioumtzoglou, IA, Spanos, PD et al. (1 more author) (2016) Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation. Strojniski Vestnik - Journal of Mechanical Engineering, 62 (7-8). pp. 440-451. ISSN 0039-2480
Abstract
An approximate technique for assessing the reliability of nonlinear multi-degree-of-freedom (MDOF) systems subject to a non-stationary stochastic excitation vector is developed. The proposed technique can be construed as a two-stage approach. First, relying on statistical linearization and utilizing a dimension reduction approach the nonlinear n-degree-of-freedom system is decoupled and cast into (n) effective single-degree-of-freedom (SDOF) linear time-variant (LTV) oscillators. Second, utilizing the effective SDOF LTV oscillator time-varying stiffness and damping elements in conjunction with a stochastic averaging treatment of the problem, the MDOF system survival probability and first-passage PDF are determined. Overall, the developed technique appears to be efficient and versatile since it can handle readily, at a low computational cost, a wide range of nonlinear/hysteretic behaviors as well as various stochastic excitation forms, even of the fully non-stationary in time and frequency kind. A 3-DOF system exhibiting hysteresis following the Bouc-Wen model is included in the numerical examples section. Comparisons with pertinent Monte Carlo simulations demonstrate the accuracy of the technique.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Journal of Mechanical Engineering. All rights reserved. Reproduced with permission from the publisher / the copyright holder Journal Strojniški vestnik – Journal of Mechanical Engineering (SV-JME) . |
Keywords: | first-passage problem; nonlinear stochastic dynamics; evolutionary stochastic processes; nonlinear/hysteretic systems; survival probability |
Dates: |
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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: | 10 Dec 2019 10:29 |
Last Modified: | 25 Jun 2023 22:04 |
Status: | Published |
Publisher: | Postnina Placana V Gotovini |
Identification Number: | 10.5545/sv-jme.2016.3752 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:154384 |