Finite Element Dynamic Analysis of Submerged Laminated Composite Plates

Abstract

The influence of the fluid medium in modifying the dynamic characteristics of composite plates considering fluid-structure coupling effect is discussed in this paper. The complete plate-fluid system is discretised as an assemblage of finite elements assuming fluid pressure and generalised displacements as the nodal unknowns for the fluid and structural domain, respectively. The resulting coupled equations of motions for these two domains in the absence of any viscous damping are then integrated using Newmark’s algorithm. Transient analysis of both submerged isotropic and composite plates are carried out to study the effect of submergence on the dynamic characteristics namely, natural frequencies as well as amplitudes and period of response.

Keywords

finite element method hydrodynamic pressure composite plate

Get full access to this article

View all access options for this article.

References

Chowdhury, P. C. (1972), “Fluid Finite Elements for Added Mass Calculations,” Int. J. Ship. Building Prog., 19, 302-309.

Crawley, E. F. (1979), “Natural Modes of Graphite/Epoxy Cantilever Plates and Shells,” J. Composite Materials, 13, 195-204.

Hinton, E. (1976), “A Note on a Finite Element Method for the Free Vibrations of Laminated Plates,” J. Earthquake Engineering and Structural Dynamics, 4, 515-516.

Hughes, T. J. R. and Liu, W. K. (1978), “Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory,” J. Applied Mechanics, ASME, 45, 371-374.

Jones, A. T. (1970), “Vibration of Beams Immersed in a Liquid,” J. Experimental Mechanics, 10(2), 84-89.

Lamb, H. (1920), “On the Vibration of an Elastic Plate in Contact with Water,” Proc. Royal Soc., A88, 205-216.

Lindholm, U. S. , Kana, D. D. , Chu, W.-H. and Abramson, H. N. (1965) “Elastic Vibration Characteristics of Cantilever Plates in Water,” J. Ship Research, 9, 1, 11-23.

Marcus, M. S. (1978), “A Finite Element Method Applied to the Vibration of Submerged Plates,” J. Ship Research, 22, 94-99.

Pal, N. C. , Bhattacharyya, S. K. and Sinha, P. K. (1999a), “Coupled Slosh Dynamics of Liquid Filled Composite Cylindrical Tanks,” J. Engineering Mechanics, ACSE, 125(4), 491-495.

10.

Pal, N. C. , Bhattacharyya, S. K. and Sinha, P. K. (1999b), “Finite Element Coupled Slosh Analysis of Rectangular Liquid Filled Composite Tanks,” J. Reinforced Plastics Composites, 18(15), 1375-1407.

11.

Zienkiewicz, O. C. and Newton, R. E. (1969), “Coupled Vibrations of a Structure Submerged in a Compressible Fluid,” Proc. Int. Symp. on Finite Element Techniques, Stuttgart, 360-379.

12.

Zienkiewicz, O. C. , Irons, B. and Nath, B. (1965), “Natural Frequencies of Complex, Free or Submerged Structures by the Finite Element Method,” Symp. Vibration on Civil Engg., London, 83-90.