Wave propagation in and free vibrations of gradient elastic circular cylindrical shells
Wave propagation in and free vibrations of gradient elastic circular cylindrical shells
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DOI：
10.1007/s00707-012-0643-y
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发表时间：
2012-03
期刊：
影响因子：
2.7
通讯作者：
S. Papargyri-Beskou;S. Tsinopoulos;D. Beskos
中科院分区：
文献类型：
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作者：
S. Papargyri-Beskou;S. Tsinopoulos;D. Beskos
导出了梯度弹性圆柱薄壳的运动控制方程。由于Donnell的动态平衡和应变-位移关系的基本方程与弹性梯度理论的应力-应变方程相结合，除了两个经典的弹性模量外，还包括一个微结构和一个微惯性弹性常数。首先利用壳体的运动控制方程研究简谐波的传播，然后研究两端简支圆柱壳的自由振动。这些分析的结果进行了比较与经典的情况下，以评估的微观结构和微惯性效应的动态行为的外壳。
The governing equations of motion for a gradient elastic circular cylindrical thin shell are derived. The basic equations of dynamic equilibrium and strain-displacement relations due to Donnell are combined with the stress–strain equations of the gradient theory of elasticity involving one microstructural and one microinertial elastic constant in addition to the two classical elastic moduli. The shell governing equations of motion are first used to study the propagation of harmonic waves and then free vibrations for the particular case of a circular cylindrical shell simply supported at its two ends. The results of these analyses are compared against those of the classical case in order to assess the microstructural and microinertial effects on the dynamic behavior of the shell.