The subject of the paper is an isotropic porous-cellular cylindrical panel subjected to a combined load: an axial force and an external pressure. The panel is simply supported at its all outer edges. The mechanical properties of the panel vary across its thickness. A non-linear hypothesis of deformation of a plane cross section is formulated. The field of displacements of any cross section of the panel and non-linear geometric relations are defined. The system of partial differential equations is derived on the basis of the principle of stationarity of the total potential energy. The system is approximately solved with the use of Galerkin's method. The formulas of unknown functions are assumed. Then the nonlinear algebraic equation is obtained. Physical and geometrical parameters of the panel, a deflection parameter, and loads are included in the equation. Critical loads for a family of panels are numerically determined. Results of the calculation are shown in figures.
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