In the current paper, the vibrational behavior of viscoelastic cylindrical shells under moving internal pressure is studied, analytically. The viscoelastic behavior is considered as viscoelastic in shear and elastic in the bulk. The equations of motion are extracted based on the classical shell theory by applying Hamilton’s principle. These equations which are a system of coupled partial differential equations are solved by employing a closed form mathematic method, and the natural frequencies, the critical velocity, and response due to moving pressure are determined. Moreover, the effects of different geometric and viscoelastic parameters on the results are studied. The results are compared with the finite element analysis and the results available in the literature.

中文翻译：

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内压作用下粘弹性圆柱壳振动行为的分析方法

在当前的论文中，对粘弹性圆柱壳在移动内压下的振动行为进行了分析研究。粘弹性行为被认为是剪切中的粘弹性和体中的弹性。应用哈密顿原理，基于经典壳理论提取运动方程。这些方程是耦合偏微分方程组，采用闭式数学方法求解，确定固有频率、临界速度和移动压力响应。此外，还研究了不同几何参数和粘弹性参数对结果的影响。将结果与有限元分析和文献中可用的结果进行比较。