圆柱壳开孔的应力分析

本文研究圆柱壳开孔附近的应力分析问题。由于开孔问题的边界形状较为复杂,使用圆柱壳的 Morley 方程进行求解较为困难。本文在进行误差分析的基础上提出修正 Mo-rley 方程,并给出适合于开孔问题边界的一般解。以圆柱壳受轴向拉伸和内压为例分析了开孔附近的应力分布。给出了开孔率为 1/2以下的开孔解,并对 Donnell 方程解的适用范围给予了新的评价。

THE STRESS ANALYSIS OF CYLINDRICAL SHELLS WITH CUTOUTS

In this paper we deal with the analysis of stress distributions aroundcircular cutouts in cylindrical shells. Because of the complicated boundary shapes in this type of problems, it is difficult to solve the well known Morley's equation. Based on the error analysis we modified the Morley's equation, and furthermore got a general solution of the modified Morley's tquation which is suitable for the analysis of cutout problems. We took the problems of cylindrical shells under the action of axial tension and internal pressure as the examples, and found out the stress distributions that are valid within the range of open ratio less than 1/2. Finally we discussed the effective range of the Donnell's equation for the analysis of cutout problems.