Ni, P, Fragkoulis, VC, Kong, F et al. (2 more authors) (2021) Response Determination of Nonlinear Systems with Singular Matrices Subject to Combined Stochastic and Deterministic Excitations. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 7 (4). 04021049. 04021049-04021049. ISSN 2376-7642
Abstract
A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined stochastic and deterministic excitations. Singular matrices in the governing equations of motion potentially account for the presence of constraint equations in the system. They also appear when a redundant coordinates modeling is adopted to derive the equations of motion of complex multibody systems. Since the system is subject to both stochastic and deterministic excitations, its response also has two components, namely a deterministic and a stochastic component. Therefore, using the harmonic balance method to treat the deterministic component leads to an overdetermined system of equations to be solved for computing the associated coefficients. Then the generalized statistical linearization method for deriving the stochastic response of nonlinear systems with singular matrices, in conjunction with an averaging treatment, are utilized to determine the stochastic component of the response. The validity of the proposed technique is demonstrated by pertinent numerical examples.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 American Society of Civil Engineers. This is an author produced version of an article, published in ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering. Uploaded in accordance with the publisher's self-archiving policy. This material may be downloaded for personal use only. Any other use requires prior permission of the American Society of Civil Engineers. This material may be found at https://ascelibrary.org/doi/10.1061/AJRUA6.0001167. |
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: | 17 Aug 2021 15:33 |
Last Modified: | 25 Jun 2023 22:44 |
Status: | Published |
Publisher: | American Society of Civil Engineers |
Identification Number: | 10.1061/ajrua6.0001167 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:177139 |