Theoretical and Experimental Study for Free Vibration for Cantilever Plate Partially or Totally Submerged in Fluid
Article Sidebar
Main Article Content
Abstract
In this thesis the dynamic characteristics (natural frequency and mode shape) of cantilever plates was studied when they immersed partially or totally in the fluid. The viscosity, density and compressibility of the fluid were taken into account in the theoretical analysis by using the (ANSYS Package) which mainly depends on the (Finite Element Method) in the analysis; by execute interaction between fluid and plate in the interface surface. The (damping analysis) method was used to analyze the new fluid-plate system; this new system is different in its characteristics when compared with the characteristics of the fluid or plate individually. The results were compared with the dry plate characteristics, which were obtained by using the same analyses package, but in this case the (modal analyses) method was used.
The natural frequencies and mode shapes for cantilever plates with different aspect ratios immersed in different ratios in fluid were obtained. The effects of submerging ratio and aspect ratio on the plate's dynamic characteristics theoretically and experimentally were investigated. The results showed that, the submerged of cantilever plate in fluid reduce the natural frequency, and this depends on the fluid type, submerged ratio and aspect ratio, and the density is the most influential fluid property on the dynamic characteristics of the plate.
Metrics
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
THIS IS AN OPEN ACCESS ARTICLE UNDER THE CC BY LICENSE http://creativecommons.org/licenses/by/4.0/
Plaudit
References
- Lindholm, U.S, Kana, D.D., Chu, W.-H., Abramson, H.N, 1965, “Elastic Vibration Characteristics of Cantilever Plates in Water”, Journal of Ship Research, 9, 11–22. DOI: https://doi.org/10.5957/jsr.1965.9.2.11
- Ergin, A., Uğurlu, B., 2003, “Linear Vibration Analysis of Cantilever Plates Partially Submerged in Fluid”, Journal of Fluids and Structures, 17, 927-939. DOI: https://doi.org/10.1016/S0889-9746(03)00050-1
- Anamika Sharmin Mishty, 2010, “Dynamic Response on Mini Cantilever Beams in Viscous Media”, Montana State University, Bozeman, Montana.
- David, A. Hunt, 1970, “Discrete Element Idealization of an Incompressible Liquid for Vibration Analysis”, Aiaa Journal, Vol. 8, No. 6. DOI: https://doi.org/10.2514/3.5822
- Kiefling, L., Feng, G. C., 1976, “Fluid-Structure Finite Element Vibrational Analysis”, Aiaa Journal, Vol. 14, No. 2. DOI: https://doi.org/10.2514/3.61357
- Danial, W. J. T., 1980, “Modal Methods in Finite Element Fluid-Structure Eigenvalue Problems”, International Journal for Numerical Methods in Engineering, Vol. 15, 1161-1175. DOI: https://doi.org/10.1002/nme.1620150805
- Cristoph, W. Müller, 1981, “Simplified Analysis of Linear Fluid-Structure Interaction”, International Journal for Numerical Methods in Engineering, Vol. 17, 113-121. DOI: https://doi.org/10.1002/nme.1620170109
- Balendra, T., Ang, K. K., Paramasivam, P. and Lee, S. L., 1982, “Free Vibration Analysis of Cylindrical Liauid Storage Tanks”, Int. J. Mech. Sci. Vol. 24, No. 1, pp, 47-59. DOI: https://doi.org/10.1016/0020-7403(82)90020-0
- Lorraine G. Olson and Klaus-Jûrgen Bathe, 1985, “Analysis of Fluid-Structure Interactions”, A Direct Symmetric Coupled Formulation Based on the Fluid Velocity Potential. Computers & Structures Vol.21, No. 1/2, pp. 21-32. DOI: https://doi.org/10.1016/0045-7949(85)90226-3
- Michal Guminiak, Ryszard Sygulski, 2001, “Vibrations of Plates Immersed in Compressible Fluid by the BEM”, Institute of Structural Engineering, Poznan University of Technology, Piotrowo 5, 60-965 Poznan.
- Khorshidi, K., 2010, “Effect of Hydrostatic Pressure on Vibrating Rectangular Plates Coupled with Fluid”, Transaction A: Civil Engineering. Vol. 17, No. 6, pp. 415-429. Sharif University of Technology.
- Zienkiewicz, O.C., Taylor, R. L. and Zhu, J. Z., "The Finite Element Method", ELSEVIER, 2005. DOI: https://doi.org/10.1016/B978-075066431-8.50196-X