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Dynamic stability characteristics of functionally graded materials shallow spherical shells

机译：功能梯度材料浅球形壳的动态稳定性特征

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摘要

Here, the dynamic stability behavior of a clamped functionally graded materials spherical shell structural element subjected to external pressure load is studied. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. The effective material properties are evaluated using a homogenization method. The structural model is based on shear deformation theory and geometric non-linearity is considered in the formulation using von Karman's assumptions. The governing equations obtained are solved employing the Newmark's integration technique coupled with a modified Newton-Raphson iteration scheme. The load corresponding to a sudden jump in the maximum average displacement in the time history of the shell structure is taken as the dynamic buckling pressure. The present model is validated against the available isotropic cases. A detailed numerical study is carried out to bring out the effects of power-law index of functional graded material on the axisym-metric dynamic stability characteristics of shallow spherical shells.
机译：在此，研究了功能梯度材料夹紧的球形壳体结构元件在外部压力作用下的动态稳定性行为。根据幂律分布，根据材料成分的体积分数在厚度方向上对材料特性进行分级。使用均质化方法评估材料的有效性能。结构模型基于剪切变形理论，并且使用冯·卡曼（von Karman）的假设在公式中考虑了几何非线性。使用Newmark积分技术和改进的Newton-Raphson迭代方案来求解获得的控制方程。将对应于壳体结构的时间历程中最大平均位移突然跳变的载荷作为动态屈曲压力。本模型针对可用的各向同性情况进行了验证。进行了详细的数值研究，以揭示功能梯度材料的幂律指数对浅球形壳轴对称动力稳定性特征的影响。

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