Griffin Plots of vortex-induced vibrations: revealing self-similarity for quick estimation from transient displacement responses
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913779904675840 |
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| author | Gao, Guangzhong Li, Suhan Hao, Jianming Fu, Bo Yang, Shucheng Zhu, Ledong |
| author_facet | Gao, Guangzhong Li, Suhan Hao, Jianming Fu, Bo Yang, Shucheng Zhu, Ledong |
| contents | Griffin plot relates the peak amplitudes of vortex-induced vibration to structrual mass-damping parameter, known as the Scruton number. Griffin plot serves as a fundamental tool in many engineering fields. This study confirms a general self-similarity in Griffin plots, where plots derived from transient responses at any Scruton number converge to a single, consisten curve. This self-similarity arises from weak aeroelastic nonlinearity in vortex-induced vibration, manifasting as amplitude-dependent aerodynamic damping. Based on this self-similarity property, we propose a numerical method to estimate Griffin plots from transient displacement responses at any Scruton number. The resulting plots align closely with experimental data for both cross-flow and torsional vortex-induced vibrations, highlighting robust self-similar behavior across different Scruton numbers. Furthermore, we observe a consistent trend in Griffin plots for a rectangular cylinder, closed-box, and double-girder bridge deck: the reciprocal of peak amplitudes shows an approximately linear relationship with the Scruton number, especially in torsional vortex-induced vibration. To generate this linearity, we develop a simple empirical model of vortex-induced forces. This model accurately reproduces the Griffin plot for a rectangular cylinder using aeroelastic parameters derived from a single Scruton number, significantly reducing the need for extensive experimental measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03564 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Griffin Plots of vortex-induced vibrations: revealing self-similarity for quick estimation from transient displacement responses Gao, Guangzhong Li, Suhan Hao, Jianming Fu, Bo Yang, Shucheng Zhu, Ledong Fluid Dynamics Applied Physics Griffin plot relates the peak amplitudes of vortex-induced vibration to structrual mass-damping parameter, known as the Scruton number. Griffin plot serves as a fundamental tool in many engineering fields. This study confirms a general self-similarity in Griffin plots, where plots derived from transient responses at any Scruton number converge to a single, consisten curve. This self-similarity arises from weak aeroelastic nonlinearity in vortex-induced vibration, manifasting as amplitude-dependent aerodynamic damping. Based on this self-similarity property, we propose a numerical method to estimate Griffin plots from transient displacement responses at any Scruton number. The resulting plots align closely with experimental data for both cross-flow and torsional vortex-induced vibrations, highlighting robust self-similar behavior across different Scruton numbers. Furthermore, we observe a consistent trend in Griffin plots for a rectangular cylinder, closed-box, and double-girder bridge deck: the reciprocal of peak amplitudes shows an approximately linear relationship with the Scruton number, especially in torsional vortex-induced vibration. To generate this linearity, we develop a simple empirical model of vortex-induced forces. This model accurately reproduces the Griffin plot for a rectangular cylinder using aeroelastic parameters derived from a single Scruton number, significantly reducing the need for extensive experimental measurements. |
| title | Griffin Plots of vortex-induced vibrations: revealing self-similarity for quick estimation from transient displacement responses |
| topic | Fluid Dynamics Applied Physics |
| url | https://arxiv.org/abs/2504.03564 |