Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation
This article examines the stochastic response of a system with a Bingham model magneto-rheological damper under random excitation. The application of the stochastic averaging method yielded the averaged stochastic Itô equation. The system’s steady-state response probability density function (PDF) is...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2025-03-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484241277371 |
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| _version_ | 1850035936341000192 |
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| author | Zijian Kan Jun Wang Jianchao Zhang Zijian Yang Shaofang Wen |
| author_facet | Zijian Kan Jun Wang Jianchao Zhang Zijian Yang Shaofang Wen |
| author_sort | Zijian Kan |
| collection | DOAJ |
| description | This article examines the stochastic response of a system with a Bingham model magneto-rheological damper under random excitation. The application of the stochastic averaging method yielded the averaged stochastic Itô equation. The system’s steady-state response probability density function (PDF) is obtained by solving the corresponding Fokker–Planck–Kolmogorov equation. Theoretical calculations are confirmed through numerical simulation. Additionally, the study produced graphs depicting the steady-state probability density functions for system energy, amplitude, displacement, and velocity, along with time history graphs, joint probability density functions for displacement and velocity, and continuous wavelet coefficient energy distribution graphs. The paper also examines the impacts of viscous damping, Coulomb damping, and noise intensity on the steady-state response from both time-domain and frequency-domain perspectives. The findings indicate that in this stochastic model, when velocities are relatively low, an equivalent increase in Coulomb damping has a more pronounced effect on the steady-state response than viscous damping. These results provide a theoretical basis for understanding and addressing the behavior of Bingham model magnetorheological dampers in nonlinear systems under stochastic excitation. |
| format | Article |
| id | doaj-art-810e7408a135405590dc07236fcbb3cd |
| institution | DOAJ |
| issn | 1461-3484 2048-4046 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj-art-810e7408a135405590dc07236fcbb3cd2025-08-20T02:57:21ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462025-03-014410.1177/14613484241277371Dynamics analysis of a nonlinear system with Bingham model under stochastic excitationZijian KanJun WangJianchao ZhangZijian YangShaofang WenThis article examines the stochastic response of a system with a Bingham model magneto-rheological damper under random excitation. The application of the stochastic averaging method yielded the averaged stochastic Itô equation. The system’s steady-state response probability density function (PDF) is obtained by solving the corresponding Fokker–Planck–Kolmogorov equation. Theoretical calculations are confirmed through numerical simulation. Additionally, the study produced graphs depicting the steady-state probability density functions for system energy, amplitude, displacement, and velocity, along with time history graphs, joint probability density functions for displacement and velocity, and continuous wavelet coefficient energy distribution graphs. The paper also examines the impacts of viscous damping, Coulomb damping, and noise intensity on the steady-state response from both time-domain and frequency-domain perspectives. The findings indicate that in this stochastic model, when velocities are relatively low, an equivalent increase in Coulomb damping has a more pronounced effect on the steady-state response than viscous damping. These results provide a theoretical basis for understanding and addressing the behavior of Bingham model magnetorheological dampers in nonlinear systems under stochastic excitation.https://doi.org/10.1177/14613484241277371 |
| spellingShingle | Zijian Kan Jun Wang Jianchao Zhang Zijian Yang Shaofang Wen Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation Journal of Low Frequency Noise, Vibration and Active Control |
| title | Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation |
| title_full | Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation |
| title_fullStr | Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation |
| title_full_unstemmed | Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation |
| title_short | Dynamics analysis of a nonlinear system with Bingham model under stochastic excitation |
| title_sort | dynamics analysis of a nonlinear system with bingham model under stochastic excitation |
| url | https://doi.org/10.1177/14613484241277371 |
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