Application of matrix displacement method to linear elastic analysisof shells of revolution.
Application of matrix displacement method to linear elastic analysisof shells of revolution.
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矩阵位移法在旋转壳体线弹性分析中的应用
DOI：
10.2514/3.3326
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发表时间：
1965
期刊：
影响因子：
--
通讯作者：
R. Navaratna
中科院分区：
文献类型：
--
作者：
R. Navaratna
本文介绍了矩阵位移法在旋转壳线弹性分析中的应用。壳被理想化为一系列圆锥形的截体，在节点圆处连接。在本文中，使用理想化来处理不对称变形的演示。还显示了如何近似的质量和刚度矩阵可以一致地推导；这些可以用来解决静态和动态问题。论证并讨论了采用Pian提出的方法改进刚度矩阵近似对静力分析结果的影响。给出了几种壳体构型的静力分析结果，并与其他方法的结果进行了比较。结果表明，该方法采用合理的单元数，对轴对称和非对称载荷下的旋转壳均能给出准确的解。
The paper describes the application of the matrix displacement method to the linear elastic analysis of shells of revolution. The shell is idealized as a series of conical frusta, joined at nodal circles. In the present paper the use of the idealization to handle asymmetric deformations is demonstrated. Also shown is how approximations to the mass and stiffness matrices may be consistently derived; these may then be used to solve both static and dynamic problems. The effect on the results of static analyses of improving the approximation to the stiffness matrix, using the procedure suggested by Pian, is demonstrated and discussed. Results are presented of static analyses of several shell configurations, and these are compared with solutions by other methods. It is found that the method provides accurate solutions for shells of revolution under both axisymmetric and asymmetric loadings by using a reasonable number of elements.