Vibration analysis of a rectangular composite plate in contact with fluid
AbstractIn this paper, modal analysis of the fluid-structure interaction has been investigated. Using classical laminated plate theory, a closed form solution for natural frequencies of FSI is extracted. For fluid, homogenous, inviscid and irrotational fluid flow is assumed. Then, a combined governing equation for the plate-fluid system is derived. In order to validate the equations and results, they are compared with results reported in other literatures. The vibration behavior for different plate length to width ratios are also studied. For the forced vibration, three cases; harmonic point load, distributed loading and step pressure loading; are performed and for each case, the time response of plate-fluid system is obtained. Also, frequency response of plate-fluid system has been achieved for harmonic load.
 Rayleigh, J. S., “The Theory of Sound”, 2nd Edition, Mac Millan & CO, New York, pp. 236, (1896). Haddara, M. R., and Cao, S., “A Study of the Dynamic Response of Submerged Rectangular Flat Plates”, Journal of Marine Structures, Vol. 9, No. 1, pp. 913-933, (1996). Watanabe, E., Utsunomiya, S., and Tanigaki, S., “A Transient Response Analysis of a very Large Floating Structure by Finite Element Method”, Journal of Structural Engineering/ Earthquake Engineering, Vol. 15, No. 2, pp. 155-163, (1998). Zhou, D., and Ceung, Y. K., “Vibration Analysis of Vertical Rectangular Plate in Contact with Water on One Side”, Journal of Earthquake Engineering and Structural Dynamics, Vol. 29, No. 1, pp. 693-710, (2000). Bermudez, A., Hervella-Nieto, L., and Rodriguez, R., “Finite Element Computation of the Vibrations of a Plate-fluid System with Interface Damping”, Journal of Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 24, pp. 3021-3038, (2001). Kerboua, Y., and Lakis, A. A., “Dynamic Belavior of Plate Subjected to Flowing Fluid”, WSEAS Transaction of Fluid Mechanics, Vol. 3, No. 2, pp. 101-115, (2008). Khorshidi, K., “Free Vibration Analysis of Rectangular Thin Plates in Contact with Bounded Fluid”, Sixteenth International Conference of Mechanical Engineering (ISME), May 13-15, Kerman, Iran, (2008). (In Persian) Khorshidi, K., “Effect of Hydrostatic Pressure on Vibrating Rectangular Plates Coupled with Fluid, Scientica Iranica Transaction of Civil Engineering, Vol. 17, No. 6, pp. 415-429, (2010). Hosseini-Hashemi, S. H., Karimi, M., and Damavandi Taher, H. R., “Vibration Analysis of Rectangular Mindlin Plates on Elastic Foundation and Vertically in Contact with Stationary Fluid by The Ritz Method”, Journal of Ocean Engineering, Vol. 37, No. 1, pp. 174-185, (2010). Hosseini-Hashemi, S. H., Karimi, M., and Damavandi Taher, H. R., “Natural Frequencies of Rectangular Mindlin Plates Coupled with Stationary Fluid”, Journal of Applied Mathematical Modeling, Vol. 36, No. 1, pp. 764-778, (2012). Bakhsheshy, A., and Khorshidi, K., “Free Vibration Analysis of Functionally Graded Rectangular Plates in Contact with Bounded Fluid”, Modares Mechanical Engineering, Vol. 14, No. 8, pp. 165-173, (2014). (In Persian) Rezvani, S. S., Fazeli, H., Kiasat, M. S., and Haji-Hashemi, G., “Effects of Added Mass Parameter on Fluid-Structure Natural Frequencies by using Analytical, Numerical and Experimental Methods”, Amirkabir Journal of Science and Research in Mechanical Engineering (ASJR-ME), Vol. 47, No. 2, pp. 61-70, (2015). (In Persian) Robinson, N. J., and Palmer, S. C., “A Modal Analysis of a Rectangular Plate Floating on an Incompressible Liquid”, Journal of Sound and Vibration, Vol. 142, No. 3, pp. 453-460, (1990). Reddy, J. N., “Mechanics of Laminated Composite Plates and Shells: Theory and Analysis”, 2nd Edition, CRC Press, New York, pp. 282, (1947). Kalita, K., and Dutta, A., “Free Vibration Analysis of Isotropic and Composite Rectangular Plates”, International Journal of Mechanical Engineering and Research, Vol. 3, No. 4, pp. 301-308, (2013). Chang, T. P., and Liu, M. F., “On the Natural Frequency of a Rectangular Isotropic Plate in Contact with Fluid”, Journal of Sound and Vibration, Vol. 236, No. 1, pp. 547-553, (2000).