| Residential College | false |
| Status | 已發表Published |
| Evolutionary probabilistic analysis of non-smoothly damped stochastic oscillator under modulated random and harmonic excitations | |
Er, Guo-Kang ; Luo, Jie ; Iu, Vai Pan
| |
| 2024-05 | |
| Source Publication | International Journal of Applied Mechanics
 |
| Volume | 16Issue:5Pages:2450063 |
| Abstract | This paper concerns the evolutionary transitional probability density functions (PDFs) and the mean upcrossing rates (MCRs) of responses of the non-smoothly damped stochastic oscillator under both modulated random and harmonic excitations. The damping expressed by a non-smooth function of velocity is considered in the stochastic dynamical systems. A procedure is presented by making the time-related weighted residue of the formulated Fokker–Planck–Kolmogorov (FPK) equation vanish in the weak sense. Thus, a group of stochastic ordinary differential equations regarding the undetermined parameters in the assumed solution can be formulated and solved numerically. Three cases are studied under different conditions. The achieved evolutionary transitional PDF and MCR solutions attest to the outstanding effectiveness of the presented procedure even in the tail ends of the PDF solutions. Moreover, the achieved solutions of the stochastic dynamical systems are found to have significant non-Gaussian behaviors due to the interaction of the random and harmonic excitations and the system nonlinearity. Notably, the presented procedure greatly improves the running efficiency when compared with Monte Carlo simulation |
| DOI | 10.1142/S1758825124500637 |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Nonlinear Stochastic Dynamics |
| WOS Subject | Mechanics ; Physics, Mathematical ; Physics, Multidisciplinary |
| Publisher | World Scientific Publishing Company |
| 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 | Er, Guo-Kang,Luo, Jie,Iu, Vai Pan. Evolutionary probabilistic analysis of non-smoothly damped stochastic oscillator under modulated random and harmonic excitations[J]. International Journal of Applied Mechanics, 2024, 16(5), 2450063. |
| APA | Er, Guo-Kang., Luo, Jie., & Iu, Vai Pan (2024). Evolutionary probabilistic analysis of non-smoothly damped stochastic oscillator under modulated random and harmonic excitations. International Journal of Applied Mechanics, 16(5), 2450063. |
| MLA | Er, Guo-Kang,et al."Evolutionary probabilistic analysis of non-smoothly damped stochastic oscillator under modulated random and harmonic excitations".International Journal of Applied Mechanics 16.5(2024):2450063. |
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