1567. Dynamic and static study of the fluid‑structure interaction problem on elastic box plate

Ya-juan Hao1, Ming-ming Gong2, Ai-min Yang3

1, 2College of Science, Yanshan University, Qinhuangdao 066004, China

3College of Science, Hebei United University, Tangshan, 063009, China

1Corresponding author

E-mail: 1hao_yajj@163.com, 2gongmingmign@163.com, 3yang_aimm@163.com

(Received 18 August 2014; received in revised form 2 December 2014; accepted 5 January 2015)

Abstract. The influence of coupling to the fluid field is neglected in the classic fluid mechanics theory. United Lagrangian-Eulerian method is used to solve the fluid-structure interaction (FSI) problem of the nonviscous and incompressible fluid flow around an elastic box plate taking into account the influence of deformation of the elastic plate. In this approach, each material is described in its preferred reference frame. Fluid flows are given in Eulerian coordinates whereas the elastic body is treated in a Lagrangian framework. The coupling between the fluid and elastic body domains is kinematic and dynamic conditions at the body surface. The kinematic and dynamic conditions are given in Eulerian and Lagrangian coordinates. The dynamic equation of the elastic box plate is expressed combining the dynamic conditions at the interface. The knowledge of both dynamic and static deformations, static pressure and velocity distributions is given by using the Taylor expansions method. The effect of plate deformation is taken into account for the obtained solutions.

Keywords: fluid-structure interaction, united Lagrangian-Eulerian method, elastic box plate, dynamic equation, deformation.

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