| Residential College | false |
| Status | 已發表Published |
| Non-stationary semi-analytical solution of vibro-impact system with multiplicative and external random stimulations | |
LUO JIE ; E GUOKANG ; IU VAI PAN
| |
| 2025-01 | |
| Source Publication | Reliability Engineering and System Safety
 |
| ABS Journal Level | 3 |
| Volume | 256Pages:110703 |
| Abstract | This article aims to investigate the non-stationary semi-analytical solution of the vibro-impact (VI) system with multiplicative and external random stimulations. Firstly, the original VI system is replaced by an equivalent nonlinear system without collisional barriers in the new phase space using the Zhuravlev transformation. Afterward, the Fokker-Planck (FP) equation for the equivalent nonlinear system is formulated and solved using the evolutionary EPC method. The transitional probability density functions (TPDFs) of responses of the equivalent nonlinear system are then achieved. Subsequently, by using the variable relationships between the original VI system and the transformed nonlinear system, the TPDFs of responses of the original VI system are achieved at various time instants. Finally, three VI systems with various nonlinearity driven by both multiplicative and external random stimulations are investigated and studied by the presented procedure. The results show that the responses of the VI systems are strongly non-Gaussian due to the influence of the barrier, the nonlinear terms and the correlated random stimulations. Moreover, the accuracy of the obtained results and computational efficiency of the presented procedure are assessed by comparison with the simulated results. |
| Keyword | Vibro-impact Semi-analytical Stochastic Random Stimulation Non-stationary |
| DOI | 10.1016/j.ress.2024.110703 |
| URL | View the original |
| Indexed By | SCIE |
| Funding Project | Investigation on the SSS-EPC method for the transient probabilistic solutions of large nonlinear stochastic dynamical systems and applications |
| WOS Research Area | Nonlinear Stochastic Dynamics |
| WOS Subject | Mechanics ; Physics, Mathematical ; Physics, Multidisciplinary |
| Publisher | Elsevier |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING |
| Corresponding Author | LUO JIE |
| Affiliation | University of Macau |
| First Author Affilication | University of Macau |
| Corresponding Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | LUO JIE,E GUOKANG,IU VAI PAN. Non-stationary semi-analytical solution of vibro-impact system with multiplicative and external random stimulations[J]. Reliability Engineering and System Safety, 2025, 256, 110703. |
| APA | LUO JIE., E GUOKANG., & IU VAI PAN (2025). Non-stationary semi-analytical solution of vibro-impact system with multiplicative and external random stimulations. Reliability Engineering and System Safety, 256, 110703. |
| MLA | LUO JIE,et al."Non-stationary semi-analytical solution of vibro-impact system with multiplicative and external random stimulations".Reliability Engineering and System Safety 256(2025):110703. |
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