An algorithm for approximation of an unsteady fluid-structure interaction problem is proposed. The fluid is governed by the Navier-Stokes equations with boundary conditions on pressure, while for the structure a particular plate model is used. The algorithm is based on the modal decomposition and the Newmark Method for the structure and on the Arbitrary Lagrangian Eulerian coordinates and the F...

In this paper we introduce a numerical scheme for fluid–structure interaction problems in two or three space dimensions. A flexible elastic plate is interacting with viscous, compressible barotropic fluid. Hence the physical domain of definition (the Eulerian coordinates) changing time. We fully discrete that stable, satisfies geometric conservation, mass conservation and positivity density. al...

The fluid-structure interaction problems of two side-by-side flexible plates with a finite aspect ratio in a three-dimensional (3D) uniform flow are numerically studied. The plates’ motions are entirely passive under the force of surrounding fluid. By changing the aspect ratio and transverse distance, the coupling motions, drag force and energy capture performance are analyzed. The mechanisms u...

The linear two-dimensional problem of interaction between an hydroelastic wave propagating along elastic floating ice plate with built-in vertical rigid is studied. fluid under the inviscid and incompressible. depth finite. deflection described by theory thin plates. flow potential. total velocity potential decomposed into incident wave, even caused motion plate, odd rotation plate. mode method...

In this study buckling analysis of solid rectangular plate made of porous material in undrained condition is investigated. The mechanical properties of plate are assumed to vary through the thickness direction. Distributing of the pores through the plate thickness are assumed to be the nonlinear nonsymmetric, nonlinear symmetric, and monotonous distribution. The effect of pores and pores distri...

With the aim of extending the use of integrated variational principles on fluid and deckplate to the large deflection analysis of floating roofs, this paper investigates the significance of theflexural and membrane components in the formulations of the deck plate. Applying integratedvariational principles on deck plate and fluid facilitate the treatment of the compatibility ofdeformation betwee...

The analysis of a new viscometer that takes the form of an oscillating plate, fabricated from silicon using the methods of micro-electro-mechanical-systems (MEMS) is considered. The instrument is designed principally for experimental use in the oil industry. The plate is 1.6mm wide, 2.4mm long, and 20μm thick. It is suspended from a 0.4mm thick support by 48 square cross-section legs, each of l...

A three dimensional viscous finite element model is presented in this paper for the analysis of the acoustic fluid structure interaction systems including, but not limited to, the cochlear-based transducers. The model consists of a three dimensional viscous acoustic fluid medium interacting with a two dimensional flat structure domain. The fluid field is governed by the linearized Navier-Stokes...

In this paper we investigate the interaction of fluid flow with a thin porous elastic layer. We consider two fluid-filled bulk domains which are separated by periodically perforated layer consisting and an solid part. Thickness periodicity order ϵ, where ϵ is small compared to size domains. The described instationary Stokes equation via linear elasticity. main contribution rigorous homogenizati...