Stochastic analysis and vibration suppression of a time-delayed system with nonlinear energy sink
dc.contributor.author | Sun, Y-H | |
dc.contributor.author | Dai, D-X | |
dc.contributor.author | Liu, Y | |
dc.date.accessioned | 2024-05-14T15:31:05Z | |
dc.date.issued | 2024-05-10 | |
dc.date.updated | 2024-05-14T12:28:59Z | |
dc.description.abstract | Nonlinear energy sink (NES) is of great significance in attenuating structural vibration. Time-delay phenomenon in a mechanical system is inevitable. Different from existing works, the influences of time-delayed factors in a nonlinear oscillator attached with NES are considered in this paper under Gaussian white noise (GWN). Firstly, the time-delayed term is transformed into a linear combination of stiffness and damping terms, and an equivalent system without the time-delayed term is obtained. Stationary probability density function (SPDF) is deduced by leveraging stochastic averaging method. Secondly, good agreement is observed between analytical and numerical results, which verifies the effectiveness of the method. Furthermore, bifurcation conditions for the amplitude of SPDF of the primary system are obtained, indicating that delayed time, feedback gain and damping coefficients can cause stochastic P-bifurcation of the primary system. Finally, the vibration suppression performance of NES is analyzed via energy variation and the time–history diagram of displacement. | en_GB |
dc.description.sponsorship | UK Research and Innovation | en_GB |
dc.description.sponsorship | National Natural Science Foundation of China | en_GB |
dc.description.sponsorship | Science and Technology Projects in Guangzhou | en_GB |
dc.format.extent | 104750- | |
dc.identifier.citation | Published online 10 May 2024 | en_GB |
dc.identifier.doi | https://doi.org/10.1016/j.ijnonlinmec.2024.104750 | |
dc.identifier.grantnumber | EP/Y016130/1 | en_GB |
dc.identifier.grantnumber | 12002089 | en_GB |
dc.identifier.grantnumber | 2023A04J1323 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/135943 | |
dc.identifier | ORCID: 0000-0003-3867-5137 (Liu, Yang) | |
dc.identifier | ScopusID: 55199382800 (Liu, Yang) | |
dc.identifier | ResearcherID: ABD-4124-2021 | K-1976-2015 (Liu, Yang) | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights.embargoreason | Under embargo until 10 May 2025 in compliance with publisher policy | en_GB |
dc.rights | © 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. | en_GB |
dc.subject | Nonlinear energy sink | en_GB |
dc.subject | Time-delayed feedback | en_GB |
dc.subject | Stochastic averaging method | en_GB |
dc.subject | Stochastic P-bifurcation | en_GB |
dc.title | Stochastic analysis and vibration suppression of a time-delayed system with nonlinear energy sink | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2024-05-14T15:31:05Z | |
dc.identifier.issn | 0020-7462 | |
exeter.article-number | 104750 | |
dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record | en_GB |
dc.identifier.eissn | 1878-5638 | |
dc.identifier.journal | International Journal of Non-Linear Mechanics | en_GB |
dc.relation.ispartof | International Journal of Non-Linear Mechanics | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_GB |
dcterms.dateAccepted | 2024-04-23 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2024-05-10 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2024-05-14T15:23:29Z | |
refterms.versionFCD | AM | |
refterms.panel | B | en_GB |
refterms.dateFirstOnline | 2024-05-10 |
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