小开孔球壳强度分析的解析方法

摘要

Based on basic equations of revolutionary shell, an Analytical Element Method (AEM) is proposed for strength analysis of the spherical shell with a small opening under static pressure. Compared with tradi-tional method for revolutionary shell and FEM, AEM eliminates big errors caused by traditional method when calculating stress of a small opening, and its result shows good agreement with FEM ’s. AEM can be applied to strength analysis of submarine domed bulkhead and deep-sea pressure spherical shell with an opening.%　　文章基于回转壳的基本微分方程组，建立了一种受静水压力下小开孔球壳强度分析的解析单元法（AEM）。将AEM与传统回转壳方法、有限元法相比，AEM解决了传统回转壳方法计算小开孔应力误差较大的问题，其计算结果和有限元法较一致。该方法可应用于潜艇内部球面舱壁和深海耐压球壳开孔强度计算之中。