Research on the Small Deformation of Thin Arched Plates in Fluids

This paper applied the theory of thin elastic shell and fundamental equation of fluid mechanics, combined with united Lagrange-Euler method, to establish the kinematic equation and dynamic equation of contact surfaces between fluid and solid. The linear equations of plate's normal displacement coefficients under incline and symmetrical flow were given. Based on the boundary conditions, the expressions of plate's deformation, pressure and stress were also derived. By examples, some deformation curves under different materials, thicknesses, arc lengths, angles of attack and fluid velocities were plotted; the positions where maximum deformation and maximum stress occurred as well as the size was discussed. In addition, the influence of different parameters on plate's deformation and stress was analyzed.