Study On Elastic Sheet And Spherical Shell With Ideal Fluid Coupling Problem

With the rapid development of economy and construction,many engineering fields have research the problem of fluid-structure interaction.Therefore,research and development of a commonly used,well-established fluid-structure interaction method is of great significance for the study of fluid-structure interaction.United Lagrangian-Eulerian method is used to study the deformation problem of an ideal fluid flow around a permeable clamped-clamped elastic box plate.It is assumed that the area of the hole is very small,which will not cause the external flow field and the change of the bending stiffness,Kinematic equations and dynamic equations of fluid-solid cintact surfaces are established,the differential equations for the deformation of the clamped-clamped elastic box plate using the linear theory.The expression of deflection is given based on the boundary conditions,deflection expression of the elastic box plate are given by using the Taylor expansion method.The parameter effect on deformation,stress of the elastic box plate and the elastic box plate under the influence of fluid,also analyzed the flow rate and pressure curve.which can be naturally degraded to the results of the deformation of an impermeable elastic box plate in a transversal cross-flow.United Lagrangian-Eulerian method is used to study the deformation problem of an ideal fluid flow around a spherical shell of medium deflection.With the theory of elastic thin shell and fundamental equations of fluid mechanics,spherical shell medium deflection equations is established,deflection of the impermeable spherical shell are given by using the Newton's method,also solve the circumferential displacement and velocity pression.The deformation of fluid parameters and elastomer parameters of the spherical shell are evaluated,and analyzed the circumferential displacement and velocity pression curve.United Lagrangian-Eulerian method is used to study the deformation problem of an ideal fluid flow around a permeable spherical shell of medium deflection.With the internal pressure of the permeable spherical shell,permeable spherical shell medium deflection equations is established,deflection of the permeable spherical shell are given.Consider the pressure expression when the spherical shell has a hole distribution and ignore the influence of the hole on the spherical shell,with the Newton iteration method to solved the deflection value;considered the internal pressure expression when ignoring the influence of the hole on the spherical shell,the Newton iterative method is also used to solved deflection value;an expression that solved the deflection and bending moment of a permeable spherical shell and fluid.