加筋锥壳结构分析

Analysis of Stiffening Conical Shell Structure

本文将壳体微分方程的数学解算过程与其解的物理意义联系起来,结合结构力学中的力法概念,使求解的微分方程分成两组比较简单的形式;一组只求膜解,另一组只求齐次解。这种思路对于一般形式的薄壳均适合。因为锥壳在工程上应用最广,故本文以锥壳为例,列出了锥壳在各种常见的荷载下的计算公式,并应用上述的概念来解算组合锥壳的问题,使原来十分复杂的问题大为简化。

By relating the process of solving a differential equation for a shell to the physical meaning of its solution, and in the light of the force method in structural mechanics, the author makes an attempt to break up a diffeiential equation inlo two simpler sets: one for a membrane solution only, and the other for a homogeneous solution. This idea is applicable to usual forms of shell. As an example, the conical shell, which is most widely used in engineering, is considered, and calculation formulas under various normal load conditions are provided.