锥-环-柱结合壳的应力和稳定性

为了研究潜艇耐压壳体合拢阶段端口处在自身重力作用下产生的变形，基于板壳理论的有矩理论和无矩理论，推导环肋圆柱壳自由端变形的简单计算公式，计算结果与有限元仿真结果进行了比较，验证了公式的可靠性。结果表明：当底部简支的薄壁圆柱壳受到自身重力影响时，自由端变形量与圆柱壳内半径的四次方成正比，与壁厚的二次方成反比；对于悬臂圆柱壳，重力载荷对自由端面的圆度影响不大，随着自由端与固支端的距离增大自由端变形量呈非线性递增趋势，且增加速率逐渐增大。随着圆柱壳内半径增加，自由端变形量逐渐降低，当圆柱壳内半径是纵向长度的0.75倍时，自由端变形量达到最小，此后，随着圆柱壳内半径增加而逐渐增大。研究结果可为环肋圆柱壳卧置状态下的重力变形计算和加强措施提供参考。

Stress and stability of cone-toroid-cylinder complex shells

In order to study the deformation of submarine pressure hulls under the effects of gravity, a sim-ple calculation formula of the deformation of the free ends of stiffened cylindrical shells is derived based on moment theory and non-moment theory, and the calculated results are compared with the results of Finite Element Analysis (FEA) which tests the reliability of the formula. The results show that when a thin-wall cylindrical shell simply supported at the bottom is affected by its own gravity, the deformation degree at the free end is directly proportional to the fourth power of the inner diameter of the cylindrical shell, and in-versely proportional to the square of the wall thickness; for cantilever cylindrical shells, the gravity load has little effect on the roundness of the free end plane. With the nonlinear increase of distance between the free end and fixed supporting end, the increase rate increases gradually. With the increase of the inner di-ameter of the cylindrical shell, the deformation degree of the free end decreases gradually. When the inner diameter of the cylindrical shell is 0.75 times its longitudinal length, the deformation degree of the free end is at a minimum, then increases gradually as the inner diameter increases. The gravity deformation calcula-tion of ring stiffened cylindrical shells in a horizontal state and the strengthening measures can provide ref-erences for further study.