Deflection of an isotropic porous cylindrical panel

The subject of this paper is an isotropic porous cylindrical panel. Mechanical properties of the isotropic porous material vary across the depth of the panel. The modulus of elasticity is minimal on the middle plane of a panel and assumes maximum values at its top and bottom surfaces. A nonlinear hypothesis of deformation of plane cross section of this cylindrical panel is described. The principle of stationarity of the total potential energy enables one to define a system of differential equations. The system is analytical solved, which leads to an explicit expression for the deflection of simply supported pressurized cylindrical panel. A comparative analysis with the use of FEM and the ANSYS system is presented.