Analysis of Shells of Revolution Subjected to Symmetrical and Nonsymmetrical Loads
Analysis of Shells of Revolution Subjected to Symmetrical and Nonsymmetrical Loads
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对称和非对称载荷下旋转壳体的分析
DOI：
10.1115/1.3629664
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发表时间：
1964
期刊：
影响因子：
--
通讯作者：
A. Kalnins
中科院分区：
文献类型：
--
作者：
A. Kalnins
旋转对称壳变形的边值问题用一个新的一阶常微分方程组来表示，该方程组可由任何相容的线性弯曲壳理论导出。这个方程组中包含的因变量是出现在旋转壳旋转对称边的自然边界条件中的那些量。本文提出了一种结合直接积分法和有限差分法优点的旋转对称壳的数值解法。这种方法消除了在壳体分析中通常应用直接积分法所遇到的精度损失。为了说明的目的，压力环的应力和位移的计算和详细的数值结果。
The boundary-value problem of deformation of a rotationally symmetric shell is stated in terms of a new system of first-order ordinary differential equations which can be derived for any consistent linear bending theory of shells. The dependent variables contained in this system of equations are those quantities which appear in the natural boundary conditions on a rotationally symmetric edge of a shell of revolution. A numerical method of solution which combines the advantages of both the direct integration and the finite-difference approach is developed for the analysis of rotationally symmetric shells. This method eliminates the loss of accuracy encountered in the usual application of the direct integration approach to the analysis of shells. For the purpose of illustration, stresses and displacements of a pressurized torus are calculated and detailed numerical results are presented.