具有环形平板封头加筋圆柱壳的强度分析

A Strength Analysis of Stiffened Cylindrical Shell with a Circular Plate Dome

讨论一类特殊工程结构——具有环形平板封头加筋圆柱壳的强度问题.利用解析法导出均布荷重、内缘分布力与外缘分布弯矩同时作用时环形板的弯曲公式;使用迁移矩阵法求解承受均布压力、边缘分布弯矩及分布力作用下的加筋圆柱壳.利用边缘处变形协调条件建立方程组,解出各有关状态变量.在此基础上进行了大量的数值分析,得出了一些可供工程设计参考的结论.

A kind of special engineering structure, the stiffened cylindrical shell with a circular plate dome, is discussed with the semi-analytical method. The bending formula is derived with the analytical method for the circular plate under distributed loading, distributed inner force and distributed outer moment at the same time. With the transfer matrix method, the cylindrical shell is analyzed under applied distributed pressure, and distributed moment and force at the edge of the shell. The state variables are obtained by solving the equations based on the assumption that the deformations are equal at the edge. The result of a numerical analysis shows that the moment acting at the shell edge gives a larger bending stress in the shell.