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Natural Vibrations of Three-Layer Circular Cylindrical Shells in an Elastic Medium

机译：弹性介质中三层圆柱壳的固有振动

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摘要

Free vibrations of a three-layer cylindrical circular shell in an elastic medium are considered. It is assumed that the bearing layers satisfy the Kirchhoff-Love hypotheses. The work of transverse shear and the compression over the thickness are taken into account in the thick filler. It is assumed that the variations in the displacements are linear in the transverse coordinate. The displacement continuity conditions are used on the boundaries of contact. The Winkler hypothesis is accepted for the elastic inertialess environment. The variation in the natural vibration frequencies depending on the rigidity characteristics of the shell-environment system is studied.
机译：考虑了三层圆柱形圆柱壳在弹性介质中的自由振动。假设方位层满足Kirchhoff-Love假设。在厚填料中考虑了横向剪切功和在整个厚度上的压缩。假设位移的变化在横向坐标中是线性的。在接触边界上使用位移连续性条件。弹性无惯性环境接受了Winkler假设。研究了自然振动频率随壳-环境系统刚度特性的变化。

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