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<b>[Objectives]</b> In order to reveal the physical mechanism of the numerical simulation of the critical pressure of the underwater ring-stiffened conical shell and compare the accuracy of the experiment methods,<b>[Methods]</b> based on Fl&#252;gge shell theory, wave propagation method and Galerkin method are used to study the relationship between critical pressure and natural frequency of underwater ring-stiffened conical shells. The smeared stiffener theory is substituted into the shell vibration equation in the ring-stiffener so that the natural frequency and the critical pressure are calculated.<b>[Results]</b> The study shows that the square of the natural frequency of the underwater ring-stiffened conical shell decreases linearly with the hydrostatic pressure increases, the critical pressure of the ring-stiffened conical shell increases when the elastic modulus, thickness and height of the ring stiffener increase.<b>[Conclusions]</b> The calculation method is accurate, effective and easy to use. It can provide a new method and idea for the nondestructive prediction of the critical pressure of the underwater ring-stiffened conical shell.