The paper presents the results of studying circular cylindrical shells partially filled with an ideal liquid and subjected to uniform external and internal hydrostatic pressure. The behavior of an elastic structure and a compressible fluid is described in the framework of the classical nonlinear theory of shells, based on the Kirchhoff – Love hypotheses, and the Euler equations. The problem is solved using a semi-analytical version of the finite element method. The influence of the level of fluid in the shell on the critical values of external pressure is analyzed with and without consideration of gravitational effects on the free and lateral surfaces of the fluid. Shells with different boundary conditions and linear dimensions are considered. It has been shown that for certain geometrical parameters the gravitational field can significantly affect the dynamic characteristics of the structure.

本文介绍了研究部分充满理想液体并承受均匀的内部和外部静水压力的圆柱壳的结果。弹性结构和可压缩流体的行为在经典的壳非线性理论的框架内进行了描述，该理论基于基尔霍夫-洛夫（Kirchhoff）-洛夫（Love）假设和欧拉方程。该问题使用有限元方法的半解析版本解决。在不考虑重力对流体的自由表面和侧面的影响的情况下，分析了壳体中的流体液位对外部压力的临界值的影响。考虑具有不同边界条件和线性尺寸的壳体。