Mechanical Analysis About The Fliud-Solid Interaction Problem On The Thin Arched Shell

The hydroelasticity is widely applied in many engineering field, such as water conservancy, marine, ship, aerospace and so on. The research object is the various mechanical behaviors under the action of flow field, and the influence of elastic deformation and movement on flow field. The studies at home and abroad focus on the numerical analysis of dynamic problems for coupling systems, and have issued many results. On the contrary, the theoretical analysis on the deformation and internal force has rare studied. Therefore, there have much room for the development of theoretical research and analytical calculation.In this paper, United Lagrangian-Eulerian method is applied to analyze the interaction between a thin arched shell and a transversal cross-flow, and the deformation and internal forces of the shell are investigated.Applied the theory of thin elastic shell and fundamental equation of fluid mechanics, the kinematic equation and dynamic equation of contact surfaces between fluid and solid which were established by using united Lagrange-Euler method, and combined with the simplified classification rule of fluid–solid interaction problems, the equations of large bending deformation, middle bending deformation and small bending deformation for a thin arched shell in surrounding transverse flow were deduced. Analytical solutions of a thin arched shell were obtained by using Galerkin method, and the deflective solution of a thin arched shell in clamped support and simply supported were deduced. By some specific examples, the curves of shell deformation, internal forces and fluid distribution can be derived for the three different bending problems. The effects of different parameters on deformation and surface pressure are discussed.The results show that the rules of deformation are similar whether the large, medium or small deflection for a thin arched shell in surrounding transverse incompressible flow, only has the differences on value of the shell's deformation and internal forces; The surface pressure coefficient, flow rate, material, radius, thickness, arc length, angle of attack, and the boundary conditions of the shell have different influence on the deformation of shell.