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本文讨论了两斜交圆柱壳在内压作用下的弹性应力分布。文中,首先研究了具有任意形状孔洞的被相贯壳(圆柱形容器)在内压作用下的弹性应力和位移。分析日于,采用曲线坐标(ξ,η),并使其中一个坐标ξ=ξ。与孔洞围线厂相重合。控制方程就是在此坐标系中的扁壳方程。当孔洞围线厂为椭圆时,所得的解是以Mathieu函数表示的复函数形式。然后,根据Flügge方程讨论了相贯壳(圆柱形接管)的、以边缘效应形式表示的应力和位移。最后,作者推导了相贯曲线处应满足的边界条件,作了数值计算,并将计算结果与实验作了比较。
In this paper, the elastic stress distribution of two skewed cylindrical shells under internal pressure is discussed. In this paper, we first study the elastic stress and displacement under the action of internal pressure by the intersecting shell (cylindrical container) with any shape of holes. Analysis of day, the use of curve coordinates (ξ, η), and one of the coordinates ξ = ξ. Coincides with the hole around the plant line. The governing equation is the flat shell equation in this coordinate system. When the hole around the plant is elliptic, the resulting solution is a complex function represented by the Mathieu function. The stresses and displacements in the form of edge effects are then discussed in terms of the Flügge equation for the coherent shell (cylindrical spigot). Finally, the author deduces the boundary conditions that should be satisfied at the intersection curve and makes numerical calculation, and compares the calculation results with the experiment.