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Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium

机译：弹性介质包裹的可剪切变形FGM圆柱壳的非线性振动

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This paper investigates the large amplitude vibration behavior of a shear deformable FGM cylindrical shell of finite length embedded in a large outer elastic medium and in thermal environments. The surrounding elastic medium is modeled as a Pasternak foundation. Two kinds of micromechanics models, namely, Voigt model and Mori-Tanaka model, are considered. The motion equations are based on a higher order shear deformation shell theory that includes shell-foundation interaction. The thermal effects are also included and the material properties of FGMs are assumed to be temperature-dependent. The equations of motion are solved by a two step perturbation technique to determine the nonlinear frequencies of the FGM shells. Numerical results demonstrate that in most cases the natural frequencies of the FGM shells are increased but the nonlinear to linear frequency ratios of the FGM shells are decreased with increase in foundation stiffness. The results confirm that in most cases Voigt model and Mori-Tanaka model have the same accuracy for predicting the vibration characteristics of FGM shells.
机译：本文研究了有限剪切长度的可剪切变形的FGM圆柱壳在大的外部弹性介质中和热环境中的大振幅振动行为。周围的弹性介质被建模为Pasternak基础。考虑两种微力学模型，即Voigt模型和Mori-Tanaka模型。运动方程基于包括壳基础相互作用的高阶剪切变形壳理论。还包括热效应，并且假定FGM的材料特性与温度有关。通过两步摄动技术求解运动方程，以确定FGM壳的非线性频率。数值结果表明，在大多数情况下，FGM壳的固有频率会增加，但是FGM壳的非线性与线性频率之比会随着基础刚度的增加而降低。结果证实，在大多数情况下，Voigt模型和Mori-Tanaka模型在预测FGM壳的振动特性方面具有相同的精度。

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