Theoretical analysis based on fundamental functions of thin plate and experimental measurement for vibration characteristics of a plate coupled with liquid
| Autor: | Yi Chuang Wu, Chan Yi Liao, Chien-Ching Ma, Ching-Yuan Chang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Frequency response
Materials science Acoustics and Ultrasonics business.industry Mechanical Engineering 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Finite element method Physics::Fluid Dynamics Vibration Speckle pattern 020303 mechanical engineering & transports Optics 0203 mechanical engineering Mechanics of Materials Normal mode Deflection (engineering) Electronic speckle pattern interferometry Frequency domain 0210 nano-technology business |
| Zdroj: | Journal of Sound and Vibration. 394:545-574 |
| ISSN: | 0022-460X |
| DOI: | 10.1016/j.jsv.2017.01.023 |
| Popis: | This study combined theoretical, experimental, and numerical analysis to investigate the vibration characteristics of a thin rectangular plate positioned horizontally at the bottom of a rectangular container filled with liquid. Flow field pressure was derived using an equation governing the behavior of incompressible fluids. Analytic solutions to vibrations in a thin plate in air served as the fundamental function of the thin plate coupled with liquid. We then used liquid pressure, and the out-of-plane deflection of the thin plate for the construction of frequency response functions for the analysis of vibration characteristics in the liquid-plate coupling system. Two experimental methods were employed to measure the vibration characteristics of the thin plate immersed in water. The first involved using sensors of polyvinylidene difluoride (PVDF) to measure transient signals of fluid-plate system subjected an impact at the thin plate. These were then converted to the frequency domain in order to obtain the resonant frequencies of the fluid-plate coupling system. The second method was amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI), which was used to measure the dynamic characteristics of the thin plate in the flow field. This method was paired with the image processing techniques, temporal speckle pattern interferometry (TSPI) and temporal standard deviation (TSTD), to obtain clear mode shapes of the thin plate and resonant frequencies. Comparison of the results from theoretical analysis, finite element method, and experimental measurements confirmed the accuracy of our theoretical analysis, which was superior to the conventional approach based on beam mode shape functions. The experimental methods proposed in this study can be used to measure the resonant frequencies of underwater thin plates, and clear mode shapes can be obtained using AF-ESPI. Our results indicate that the resonant frequencies of thin plates underwater are lower than those in air. To a limited extent, increasing the depth of water enhanced the reduction of resonant frequencies. |
| Databáze: | OpenAIRE |
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