Study On Elastic Plate With Fluid Coupling Problem

Thin elastic plate and fluid coupling theory is used in different engineering field in recent years. In this paper, theoretical analysis on fluid-structure interaction by united Lagrangian-Eulerian method. Theoretical analysis on large and small deformation of fluid-structure interaction problem on elastic plate is studied. By united Lagrangian-Eulerian method, dynamic and static study of the fluid-structure interaction problem on elastic box plate in this paper.In this paper, deformation and stress of elastic thin plate was fixed on one end while other is simple supported in a continuous cross-flow of ideal fluid were studied. The kinematic equation and dynamic equation of fluid-solid contact surfaces are put forward by united Lagrangian-Eulerian method. The differential equations for the small deformation of the elastic thin plate were established in a continuous cross-flow of ideal fluid. The expression of deflection is given by the boundary conditions. The Taylor expansion method is used to solve the deformation and stress of the elastic thin plate. The influences of parameters on them are presented.In this paper, theoretical analysis on large deformation of fluid-structure interaction problem on elastic plate is studied. The kinematic equation and dynamic equation of fluid-solid contact surfaces are put forward by united Lagrangian-Eulerian method. The knowledge of the large deformation is given by using the Fourier series expansions method. It is effective for the problem of elastic plate in an ideal cross-flow to use the united Lagrangian-Eulerian method.Dynamic and static problems of the fluid-structure interaction problem on elastic box plate are studied in this paper. The influences of parameters on deformation of the box plate, pressure of the plate surface and the vibration velocity are discussed. The curves of the corresponding are presented. Applying ANSYS simulate the corresponding problem. The theoretical results and the numerical solutions are compared. It is shown that the theoretical results is effective.