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首页> 外文期刊>Journal of Sandwich Structures and Materials >On numerical analysis of axisymmetric thick circular cylindrical shells based on higher order shell theories by segmentation method
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On numerical analysis of axisymmetric thick circular cylindrical shells based on higher order shell theories by segmentation method

机译：基于高阶壳理论的轴对称厚圆柱壳数值分析的分段方法

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摘要

Numerical analysis is carried out in this paper for thick circular cylindrical shells using higher order shell theory. In orthogonal curvilinear coordinate system, all equations are derived with the inclusion of the additional quadratic and cubic terms in the Taylor's series expansions of the both in-plane as well as the transverse displacement components for the improvement of bending behaviour of the shell. Assuming (h/R)(2)1, a rigorous formulation involving the reduction of a three-dimensional elasticity problem to a two-dimensional one, based partly upon the Reissner's variational principle, is presented. These equations are algebraically manipulated to be in the form of a coupled system of first-order differential equations in terms of the intrinsic dependent variables. These are then solved by a segmentation method - numerical integration technique for various combinations of material and geometric parameters. The theory is shown to result in a partial differential equation system of sixteenth order.
机译：本文利用高阶壳理论对厚圆柱壳进行了数值分析。在正交曲线坐标系中，所有方程都是在平面内和横向位移分量的泰勒级数展开中包括附加的二次项和三次项的情况下得出的，以改善壳体的弯曲性能。假设（h / R）（2） 1，提出了一种严格的公式，其中涉及将三维弹性问题简化为二维问题，部分基于Reissner的变分原理。这些方程根据本征因变量以一阶微分方程的耦合系统的形式进行代数运算。然后通过分段方法-用于材料和几何参数的各种组合的数值积分技术来解决这些问题。事实证明，该理论产生了十六阶偏微分方程组。

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