Objectives 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,
Methods based on Flügge 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.
Results 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.
Conclusions 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.