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Numerical analysis of experimental research on buckling of closed shallow conical shells under external pressure was carried out in ANSYS Inc simulation software. The obtained experimental data was compared with calculation results for more than 100 small-sized specimens of conical shells with a wide range of different geometry. All most important features of carrying out physical experiments were taken into account in the simulations. In particular, orthotropy of the shell material has been considered. The critical pressure values can be obtained in ANSYS software for existing conical shell structures with known geometry deviation comparing to ideal.